0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.08/0.36 % Computer : n023.cluster.edu 0.08/0.36 % Model : x86_64 x86_64 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.36 % Memory : 8046.5625MB 0.08/0.36 % OS : Linux 6.8.0-71-generic 0.08/0.36 % CPULimit : 1440 0.08/0.36 % WCLimit : 180 0.08/0.36 % DateTime : Mon Jul 27 13:12:21 UTC 2026 0.08/0.36 % CPUTime : 0.08/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.13/0.39 Running higher-order theorem proving 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.79/0.59 % (954409)Detected a higher-order problem, will run a greedy HOL sequence. 0.79/0.59 % (954418)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3405326935:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi) 0.79/0.59 % (954414)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1259829828:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi) 0.79/0.59 % (954418)Instruction limit reached! 0.79/0.59 % (954418)------------------------------ 0.79/0.59 % (954418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.59 % (954418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.59 % (954418)CaDiCaL version: 2.1.3 0.79/0.59 % (954418)Termination reason: Instruction limit 0.79/0.59 % (954418)Termination phase: shuffling 0.79/0.59 % (954418)Time elapsed: 0.006 s 0.79/0.59 % (954418)Peak memory usage: 11 MB 0.79/0.59 % (954418)Instructions burned: 25 (million) 0.79/0.59 % (954420)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on 0.79/0.59 % (954420)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 0.79/0.59 % (954415)lrs+10_16_si=on:nwc=1.5:random_seed=4244123129:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi) 0.79/0.59 % (954420)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3882368449:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi) 0.79/0.59 % (954417)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2993748087:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1799 on theBenchmark for (1799ds/634Mi) 0.79/0.59 % (954419)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2472380678:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi) 0.79/0.59 % (954416)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1642520874:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi) 0.79/0.59 % (954423)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2628303356:i=2:hud=10:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 0.79/0.59 % (954415)Instruction limit reached! 0.79/0.59 % (954415)------------------------------ 0.79/0.59 % (954415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.59 % (954415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.59 % (954415)CaDiCaL version: 2.1.3 0.79/0.59 % (954415)Termination reason: Instruction limit 0.79/0.59 % (954415)Termination phase: shuffling 0.79/0.59 % (954415)Time elapsed: 0.015 s 0.79/0.59 % (954415)Peak memory usage: 10 MB 0.79/0.59 % (954415)Instructions burned: 18 (million) 0.79/0.59 % (954423)Instruction limit reached! 0.79/0.59 % (954423)------------------------------ 0.79/0.59 % (954423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.59 % (954423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.59 % (954423)CaDiCaL version: 2.1.3 0.79/0.59 % (954423)Termination reason: Instruction limit 0.79/0.59 % (954423)Termination phase: shuffling 0.79/0.59 % (954423)Time elapsed: 0.002 s 0.79/0.59 % (954423)Peak memory usage: 10 MB 0.79/0.59 % (954423)Instructions burned: 3 (million) 0.79/0.59 % (954416)Instruction limit reached! 0.79/0.59 % (954416)------------------------------ 0.79/0.59 % (954416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.59 % (954416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.59 % (954416)CaDiCaL version: 2.1.3 0.79/0.59 % (954416)Termination reason: Instruction limit 0.79/0.59 % (954416)Termination phase: shuffling 0.79/0.59 % (954416)Time elapsed: 0.005 s 0.79/0.59 % (954416)Peak memory usage: 10 MB 0.79/0.59 % (954416)Instructions burned: 5 (million) 0.79/0.59 % (954430)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3807066718:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1799 on theBenchmark for (1799ds/5Mi) 0.79/0.59 % (954414)Instruction limit reached! 1.12/0.65 % (954414)------------------------------ 1.12/0.65 % (954414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.65 % (954414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.65 % (954414)CaDiCaL version: 2.1.3 1.12/0.65 % (954414)Termination reason: Instruction limit 1.12/0.65 % (954414)Termination phase: Preprocessing 3 1.12/0.65 % (954414)Time elapsed: 0.041 s 1.12/0.65 % (954414)Peak memory usage: 12 MB 1.12/0.65 % (954414)Instructions burned: 89 (million) 1.12/0.65 % (954430)Instruction limit reached! 1.12/0.65 % (954430)------------------------------ 1.12/0.65 % (954430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.65 % (954430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.65 % (954430)CaDiCaL version: 2.1.3 1.12/0.65 % (954430)Termination reason: Instruction limit 1.12/0.65 % (954430)Termination phase: shuffling 1.12/0.65 % (954430)Time elapsed: 0.002 s 1.12/0.65 % (954430)Peak memory usage: 10 MB 1.12/0.65 % (954430)Instructions burned: 8 (million) 1.12/0.65 % (954431)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 1.12/0.65 % (954431)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1507456401:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1799 on theBenchmark for (1799ds/7Mi) 1.12/0.65 % (954432)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=901550806:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_1799 on theBenchmark for (1799ds/12Mi) 1.12/0.65 % (954431)Instruction limit reached! 1.12/0.65 % (954431)------------------------------ 1.12/0.65 % (954431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.65 % (954431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.65 % (954431)CaDiCaL version: 2.1.3 1.12/0.65 % (954431)Termination reason: Instruction limit 1.12/0.65 % (954431)Termination phase: shuffling 1.12/0.65 % (954431)Time elapsed: 0.004 s 1.12/0.65 % (954431)Peak memory usage: 10 MB 1.12/0.65 % (954435)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=463107507:i=86:piset=equals:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/86Mi) 1.12/0.65 % (954431)Instructions burned: 8 (million) 1.12/0.65 % (954432)Instruction limit reached! 1.12/0.65 % (954432)------------------------------ 1.12/0.65 % (954432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.65 % (954432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.65 % (954432)CaDiCaL version: 2.1.3 1.12/0.65 % (954432)Termination reason: Instruction limit 1.12/0.65 % (954432)Termination phase: shuffling 1.12/0.65 % (954432)Time elapsed: 0.006 s 1.12/0.65 % (954432)Peak memory usage: 10 MB 1.12/0.65 % (954432)Instructions burned: 13 (million) 1.12/0.65 % (954434)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 1.12/0.65 % (954434)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 1.12/0.65 % (954434)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2695802501:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1799 on theBenchmark for (1799ds/28Mi) 1.12/0.65 % (954440)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on 1.12/0.65 % (954440)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2473802372:i=2:add=on:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 1.12/0.65 % (954434)Instruction limit reached! 1.12/0.65 % (954434)------------------------------ 1.12/0.65 % (954434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.65 % (954434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.65 % (954434)CaDiCaL version: 2.1.3 1.12/0.65 % (954434)Termination reason: Instruction limit 1.12/0.65 % (954434)Termination phase: shuffling 1.12/0.65 % (954434)Time elapsed: 0.015 s 1.12/0.69 % (954434)Peak memory usage: 10 MB 1.12/0.69 % (954434)Instructions burned: 34 (million) 1.12/0.69 % (954435)Instruction limit reached! 1.12/0.69 % (954435)------------------------------ 1.12/0.69 % (954435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.69 % (954435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.69 % (954435)CaDiCaL version: 2.1.3 1.12/0.69 % (954435)Termination reason: Instruction limit 1.12/0.69 % (954435)Termination phase: Property scanning 1.12/0.69 % (954435)Time elapsed: 0.023 s 1.12/0.69 % (954435)Peak memory usage: 11 MB 1.12/0.69 % (954435)Instructions burned: 104 (million) 1.12/0.69 % (954419)Instruction limit reached! 1.12/0.69 % (954419)------------------------------ 1.12/0.69 % (954419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.69 % (954419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.69 % (954419)CaDiCaL version: 2.1.3 1.12/0.69 % (954419)Termination reason: Instruction limit 1.12/0.69 % (954419)Termination phase: Preprocessing 3 1.12/0.69 % (954419)Time elapsed: 0.059 s 1.12/0.69 % (954419)Peak memory usage: 12 MB 1.12/0.69 % (954419)Instructions burned: 75 (million) 1.12/0.69 % (954440)Instruction limit reached! 1.12/0.69 % (954440)------------------------------ 1.12/0.69 % (954440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.69 % (954440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.69 % (954440)CaDiCaL version: 2.1.3 1.12/0.69 % (954440)Termination reason: Instruction limit 1.12/0.69 % (954440)Termination phase: shuffling 1.12/0.69 % (954440)Time elapsed: 0.002 s 1.12/0.69 % (954440)Peak memory usage: 10 MB 1.12/0.69 % (954440)Instructions burned: 3 (million) 1.12/0.69 % (954443)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1282118996:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_1798 on theBenchmark for (1798ds/38Mi) 1.12/0.69 % (954439)lrs+10_1_si=on:cs=on:random_seed=448636576:i=8:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/8Mi) 1.12/0.69 % (954439)Instruction limit reached! 1.12/0.69 % (954439)------------------------------ 1.12/0.69 % (954439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.69 % (954439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.69 % (954439)CaDiCaL version: 2.1.3 1.12/0.69 % (954439)Termination reason: Instruction limit 1.12/0.69 % (954439)Termination phase: shuffling 1.12/0.69 % (954439)Time elapsed: 0.007 s 1.12/0.69 % (954439)Peak memory usage: 10 MB 1.12/0.69 % (954439)Instructions burned: 8 (million) 1.12/0.69 % (954443)Instruction limit reached! 1.12/0.69 % (954443)------------------------------ 1.12/0.69 % (954443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.69 % (954443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.69 % (954443)CaDiCaL version: 2.1.3 1.12/0.69 % (954443)Termination reason: Instruction limit 1.12/0.69 % (954443)Termination phase: Property scanning 1.12/0.69 % (954443)Time elapsed: 0.009 s 1.12/0.69 % (954443)Peak memory usage: 11 MB 1.12/0.69 % (954443)Instructions burned: 38 (million) 1.12/0.69 % (954445)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3800728681:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1798 on theBenchmark for (1798ds/25Mi) 1.12/0.69 % (954420)Instruction limit reached! 1.12/0.69 % (954420)------------------------------ 1.12/0.69 % (954420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.12/0.69 % (954420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.12/0.69 % (954420)CaDiCaL version: 2.1.3 1.12/0.69 % (954420)Termination reason: Instruction limit 1.12/0.69 % (954420)Termination phase: Property scanning 1.12/0.69 % (954420)Time elapsed: 0.097 s 1.12/0.69 % (954420)Peak memory usage: 13 MB 1.12/0.69 % (954420)Instructions burned: 158 (million) 1.12/0.69 % (954444)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=425709618:st=2:i=249:sd=1:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/249Mi) 1.12/0.69 % (954450)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1394620389:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_1798 on theBenchmark for (1798ds/14Mi) 1.12/0.69 % (954446)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3523797919:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_1798 on theBenchmark for (1798ds/14Mi) 1.34/0.75 % (954452)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3076197224:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_1798 on theBenchmark for (1798ds/2Mi) 1.34/0.75 % (954445)Instruction limit reached! 1.34/0.75 % (954445)------------------------------ 1.34/0.75 % (954445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.34/0.75 % (954445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.34/0.75 % (954445)CaDiCaL version: 2.1.3 1.34/0.75 % (954445)Termination reason: Instruction limit 1.34/0.75 % (954445)Termination phase: shuffling 1.34/0.75 % (954445)Time elapsed: 0.019 s 1.34/0.75 % (954445)Peak memory usage: 10 MB 1.34/0.75 % (954445)Instructions burned: 25 (million) 1.34/0.75 % (954450)Instruction limit reached! 1.34/0.75 % (954450)------------------------------ 1.34/0.75 % (954450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.34/0.75 % (954450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.34/0.75 % (954450)CaDiCaL version: 2.1.3 1.34/0.75 % (954450)Termination reason: Instruction limit 1.34/0.75 % (954450)Termination phase: shuffling 1.34/0.75 % (954450)Time elapsed: 0.007 s 1.34/0.75 % (954450)Peak memory usage: 10 MB 1.34/0.75 % (954450)Instructions burned: 15 (million) 1.34/0.75 % (954452)Instruction limit reached! 1.34/0.75 % (954452)------------------------------ 1.34/0.75 % (954452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.34/0.75 % (954452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.34/0.75 % (954452)CaDiCaL version: 2.1.3 1.34/0.75 % (954452)Termination reason: Instruction limit 1.34/0.75 % (954452)Termination phase: shuffling 1.34/0.75 % (954452)Time elapsed: 0.005 s 1.34/0.75 % (954452)Peak memory usage: 10 MB 1.34/0.75 % (954452)Instructions burned: 24 (million) 1.34/0.75 % (954449)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=138884336:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/327Mi) 1.34/0.75 % (954446)Instruction limit reached! 1.34/0.75 % (954446)------------------------------ 1.34/0.75 % (954446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.34/0.75 % (954446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.34/0.75 % (954446)CaDiCaL version: 2.1.3 1.34/0.75 % (954446)Termination reason: Instruction limit 1.34/0.75 % (954446)Termination phase: shuffling 1.34/0.75 % (954446)Time elapsed: 0.014 s 1.34/0.75 % (954446)Peak memory usage: 10 MB 1.34/0.75 % (954446)Instructions burned: 14 (million) 1.34/0.75 % (954457)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1465203417:i=26:ep=R:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/26Mi) 1.34/0.75 % (954458)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=973724552:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_1798 on theBenchmark for (1798ds/23Mi) 1.34/0.75 % (954458)Instruction limit reached! 1.34/0.75 % (954458)------------------------------ 1.34/0.75 % (954458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.34/0.75 % (954458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.34/0.75 % (954458)CaDiCaL version: 2.1.3 1.34/0.75 % (954458)Termination reason: Instruction limit 1.34/0.75 % (954458)Termination phase: shuffling 1.34/0.75 % (954458)Time elapsed: 0.011 s 1.34/0.75 % (954458)Peak memory usage: 10 MB 1.34/0.75 % (954458)Instructions burned: 26 (million) 1.34/0.75 % (954459)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4061901978:cond=on:i=60:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/60Mi) 1.34/0.75 % (954457)Instruction limit reached! 1.34/0.75 % (954457)------------------------------ 1.34/0.75 % (954457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.34/0.75 % (954457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.34/0.75 % (954457)CaDiCaL version: 2.1.3 1.34/0.75 % (954457)Termination reason: Instruction limit 1.34/0.75 % (954457)Termination phase: shuffling 1.34/0.75 % (954457)Time elapsed: 0.012 s 1.34/0.75 % (954457)Peak memory usage: 10 MB 1.34/0.75 % (954457)Instructions burned: 26 (million) 1.34/0.75 % (954459)Instruction limit reached! 1.68/0.84 % (954459)------------------------------ 1.68/0.84 % (954459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.68/0.84 % (954459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.84 % (954459)CaDiCaL version: 2.1.3 1.68/0.84 % (954459)Termination reason: Instruction limit 1.68/0.84 % (954459)Termination phase: Preprocessing 3 1.68/0.84 % (954459)Time elapsed: 0.015 s 1.68/0.84 % (954459)Peak memory usage: 12 MB 1.68/0.84 % (954459)Instructions burned: 63 (million) 1.68/0.84 % (954461)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 1.68/0.84 % (954461)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs 1.68/0.84 % (954461)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2342819157:i=14:add=off:nm=40:rtra=on:rawr=on_1798 on theBenchmark for (1798ds/14Mi) 1.68/0.84 % (954467)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1505033597:i=7:hud=5:bd=preordered:rtra=on:bet=on_1797 on theBenchmark for (1797ds/7Mi) 1.68/0.84 % (954465)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off 1.68/0.84 % (954467)Instruction limit reached! 1.68/0.84 % (954467)------------------------------ 1.68/0.84 % (954467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.68/0.84 % (954467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.84 % (954467)CaDiCaL version: 2.1.3 1.68/0.84 % (954467)Termination reason: Instruction limit 1.68/0.84 % (954467)Termination phase: shuffling 1.68/0.84 % (954467)Time elapsed: 0.003 s 1.68/0.84 % (954467)Peak memory usage: 10 MB 1.68/0.84 % (954467)Instructions burned: 11 (million) 1.68/0.84 % (954461)Instruction limit reached! 1.68/0.84 % (954461)------------------------------ 1.68/0.84 % (954461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.68/0.84 % (954461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.84 % (954461)CaDiCaL version: 2.1.3 1.68/0.84 % (954461)Termination reason: Instruction limit 1.68/0.84 % (954461)Termination phase: shuffling 1.68/0.84 % (954461)Time elapsed: 0.015 s 1.68/0.84 % (954461)Peak memory usage: 10 MB 1.68/0.84 % (954461)Instructions burned: 14 (million) 1.68/0.84 % (954465)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=933797037:i=8:nm=2:rtra=on:fe=abstraction:inj=on_1798 on theBenchmark for (1798ds/8Mi) 1.68/0.84 % (954470)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3025011489:i=23:rtra=on:ntd=on_1797 on theBenchmark for (1797ds/23Mi) 1.68/0.84 % (954466)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2070773714:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_1798 on theBenchmark for (1798ds/31Mi) 1.68/0.84 % (954465)Instruction limit reached! 1.68/0.84 % (954465)------------------------------ 1.68/0.84 % (954465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.68/0.84 % (954465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.84 % (954465)CaDiCaL version: 2.1.3 1.68/0.84 % (954465)Termination reason: Instruction limit 1.68/0.84 % (954465)Termination phase: shuffling 1.68/0.84 % (954465)Time elapsed: 0.009 s 1.68/0.84 % (954465)Peak memory usage: 10 MB 1.68/0.84 % (954465)Instructions burned: 10 (million) 1.68/0.84 % (954470)Instruction limit reached! 1.68/0.84 % (954470)------------------------------ 1.68/0.84 % (954470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.68/0.84 % (954470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.68/0.84 % (954470)CaDiCaL version: 2.1.3 1.68/0.84 % (954470)Termination reason: Instruction limit 1.68/0.84 % (954470)Termination phase: shuffling 1.68/0.84 % (954470)Time elapsed: 0.012 s 1.68/0.84 % (954470)Peak memory usage: 10 MB 1.68/0.84 % (954470)Instructions burned: 28 (million) 1.68/0.84 % (954471)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2528784268:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_1797 on theBenchmark for (1797ds/20Mi) 2.45/0.91 % (954471)Instruction limit reached! 2.45/0.91 % (954471)------------------------------ 2.45/0.91 % (954471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/0.91 % (954471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/0.91 % (954471)CaDiCaL version: 2.1.3 2.45/0.91 % (954471)Termination reason: Instruction limit 2.45/0.91 % (954471)Termination phase: shuffling 2.45/0.91 % (954471)Time elapsed: 0.005 s 2.45/0.91 % (954471)Peak memory usage: 10 MB 2.45/0.91 % (954471)Instructions burned: 23 (million) 2.45/0.91 % (954466)Instruction limit reached! 2.45/0.91 % (954466)------------------------------ 2.45/0.91 % (954466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/0.91 % (954466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/0.91 % (954466)CaDiCaL version: 2.1.3 2.45/0.91 % (954466)Termination reason: Instruction limit 2.45/0.91 % (954466)Termination phase: shuffling 2.45/0.91 % (954466)Time elapsed: 0.021 s 2.45/0.91 % (954466)Peak memory usage: 10 MB 2.45/0.91 % (954466)Instructions burned: 33 (million) 2.45/0.91 % (954444)Instruction limit reached! 2.45/0.91 % (954444)------------------------------ 2.45/0.91 % (954444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/0.91 % (954444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/0.91 % (954444)CaDiCaL version: 2.1.3 2.45/0.91 % (954444)Termination reason: Instruction limit 2.45/0.91 % (954444)Termination phase: Saturation 2.45/0.91 % (954444)Time elapsed: 0.116 s 2.45/0.91 % (954444)Peak memory usage: 15 MB 2.45/0.91 % (954444)Instructions burned: 251 (million) 2.45/0.91 % (954476)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3305399271:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1797 on theBenchmark for (1797ds/143Mi) 2.45/0.91 % (954478)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=405376210:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_1797 on theBenchmark for (1797ds/193Mi) 2.45/0.91 % (954479)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=994712607:i=42:hud=10:rtra=on_1797 on theBenchmark for (1797ds/42Mi) 2.45/0.91 % (954475)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2076921010:i=1240:rtra=on:ixr=off_1797 on theBenchmark for (1797ds/1240Mi) 2.45/0.91 % (954480)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 2.45/0.91 % (954480)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=831291948:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1797 on theBenchmark for (1797ds/7Mi) 2.45/0.91 % (954479)Instruction limit reached! 2.45/0.91 % (954479)------------------------------ 2.45/0.91 % (954479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/0.91 % (954479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/0.91 % (954479)CaDiCaL version: 2.1.3 2.45/0.91 % (954479)Termination reason: Instruction limit 2.45/0.91 % (954479)Termination phase: Property scanning 2.45/0.91 % (954479)Time elapsed: 0.011 s 2.45/0.91 % (954479)Peak memory usage: 11 MB 2.45/0.91 % (954479)Instructions burned: 46 (million) 2.45/0.91 % (954480)Instruction limit reached! 2.45/0.91 % (954480)------------------------------ 2.45/0.91 % (954480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/0.91 % (954480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/0.91 % (954480)CaDiCaL version: 2.1.3 2.45/0.91 % (954480)Termination reason: Instruction limit 2.45/0.91 % (954480)Termination phase: shuffling 2.45/0.91 % (954480)Time elapsed: 0.004 s 2.45/0.91 % (954480)Peak memory usage: 10 MB 2.45/0.91 % (954480)Instructions burned: 9 (million) 2.45/0.91 % (954486)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2143873056:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_1797 on theBenchmark for (1797ds/181Mi) 2.45/0.91 % (954487)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=372895400:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_1797 on theBenchmark for (1797ds/169Mi) 2.45/1.01 % (954486)Instruction limit reached! 2.45/1.01 % (954486)------------------------------ 2.45/1.01 % (954486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/1.01 % (954486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/1.01 % (954486)CaDiCaL version: 2.1.3 2.45/1.01 % (954486)Termination reason: Instruction limit 2.45/1.01 % (954486)Termination phase: Saturation 2.45/1.01 % (954486)Time elapsed: 0.040 s 2.45/1.01 % (954486)Peak memory usage: 13 MB 2.45/1.01 % (954486)Instructions burned: 185 (million) 2.45/1.01 % (954490)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on 2.45/1.01 % (954490)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1865040662:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_1796 on theBenchmark for (1796ds/6Mi) 2.45/1.01 % (954490)Instruction limit reached! 2.45/1.01 % (954490)------------------------------ 2.45/1.01 % (954490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/1.01 % (954490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/1.01 % (954490)CaDiCaL version: 2.1.3 2.45/1.01 % (954490)Termination reason: Instruction limit 2.45/1.01 % (954490)Termination phase: shuffling 2.45/1.01 % (954490)Time elapsed: 0.003 s 2.45/1.01 % (954490)Peak memory usage: 10 MB 2.45/1.01 % (954490)Instructions burned: 14 (million) 2.45/1.01 % (954476)Instruction limit reached! 2.45/1.01 % (954476)------------------------------ 2.45/1.01 % (954476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/1.01 % (954476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/1.01 % (954476)CaDiCaL version: 2.1.3 2.45/1.01 % (954476)Termination reason: Instruction limit 2.45/1.01 % (954476)Termination phase: Property scanning 2.45/1.01 % (954476)Time elapsed: 0.089 s 2.45/1.01 % (954476)Peak memory usage: 12 MB 2.45/1.01 % (954476)Instructions burned: 145 (million) 2.45/1.01 % (954492)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2408045724:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1796 on theBenchmark for (1796ds/22Mi) 2.45/1.01 % (954492)Instruction limit reached! 2.45/1.01 % (954492)------------------------------ 2.45/1.01 % (954492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/1.01 % (954492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/1.01 % (954492)CaDiCaL version: 2.1.3 2.45/1.01 % (954492)Termination reason: Instruction limit 2.45/1.01 % (954492)Termination phase: shuffling 2.45/1.01 % (954492)Time elapsed: 0.005 s 2.45/1.01 % (954492)Peak memory usage: 10 MB 2.45/1.01 % (954492)Instructions burned: 23 (million) 2.45/1.01 % (954493)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=14200782:i=19:add=on:rtra=on_1796 on theBenchmark for (1796ds/19Mi) 2.45/1.01 % (954495)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2322853233:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_1796 on theBenchmark for (1796ds/316Mi) 2.45/1.01 % (954487)Instruction limit reached! 2.45/1.01 % (954487)------------------------------ 2.45/1.01 % (954487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/1.01 % (954487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/1.01 % (954487)CaDiCaL version: 2.1.3 2.45/1.01 % (954487)Termination reason: Instruction limit 2.45/1.01 % (954487)Termination phase: Property scanning 2.45/1.01 % (954487)Time elapsed: 0.071 s 2.45/1.01 % (954487)Peak memory usage: 12 MB 2.45/1.01 % (954487)Instructions burned: 171 (million) 2.45/1.01 % (954493)Instruction limit reached! 2.45/1.01 % (954493)------------------------------ 2.45/1.01 % (954493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.45/1.01 % (954493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.45/1.01 % (954493)CaDiCaL version: 2.1.3 2.45/1.01 % (954493)Termination reason: Instruction limit 2.45/1.01 % (954493)Termination phase: shuffling 2.45/1.01 % (954493)Time elapsed: 0.010 s 2.45/1.01 % (954493)Peak memory usage: 10 MB 2.45/1.01 % (954493)Instructions burned: 21 (million) 2.45/1.01 % (954498)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=4012229129:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_1796 on theBenchmark for (1796ds/853Mi) 4.14/1.17 % (954499)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=718186298:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_1796 on theBenchmark for (1796ds/45Mi) 4.14/1.17 % (954478)Instruction limit reached! 4.14/1.17 % (954478)------------------------------ 4.14/1.17 % (954478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.14/1.17 % (954478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.14/1.17 % (954478)CaDiCaL version: 2.1.3 4.14/1.17 % (954478)Termination reason: Instruction limit 4.14/1.17 % (954478)Termination phase: Saturation 4.14/1.17 % (954478)Time elapsed: 0.142 s 4.14/1.17 % (954478)Peak memory usage: 13 MB 4.14/1.17 % (954478)Instructions burned: 194 (million) 4.14/1.17 % (954499)Instruction limit reached! 4.14/1.17 % (954499)------------------------------ 4.14/1.17 % (954499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.14/1.17 % (954499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.14/1.17 % (954499)CaDiCaL version: 2.1.3 4.14/1.17 % (954499)Termination reason: Instruction limit 4.14/1.17 % (954499)Termination phase: Property scanning 4.14/1.17 % (954499)Time elapsed: 0.019 s 4.14/1.17 % (954499)Peak memory usage: 11 MB 4.14/1.17 % (954499)Instructions burned: 45 (million) 4.14/1.17 % (954449)Instruction limit reached! 4.14/1.17 % (954449)------------------------------ 4.14/1.17 % (954449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.14/1.17 % (954449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.14/1.17 % (954449)CaDiCaL version: 2.1.3 4.14/1.17 % (954449)Termination reason: Instruction limit 4.14/1.17 % (954449)Termination phase: Saturation 4.14/1.17 % (954449)Time elapsed: 0.264 s 4.14/1.17 % (954449)Peak memory usage: 15 MB 4.14/1.17 % (954449)Instructions burned: 328 (million) 4.14/1.17 % (954502)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=805397574:i=480:rtra=on_1795 on theBenchmark for (1795ds/480Mi) 4.14/1.17 % (954503)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3948689375:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_1795 on theBenchmark for (1795ds/21Mi) 4.14/1.17 % (954495)Instruction limit reached! 4.14/1.17 % (954495)------------------------------ 4.14/1.17 % (954495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.14/1.17 % (954495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.14/1.17 % (954495)CaDiCaL version: 2.1.3 4.14/1.17 % (954495)Termination reason: Instruction limit 4.14/1.17 % (954495)Termination phase: Saturation 4.14/1.17 % (954495)Time elapsed: 0.074 s 4.14/1.17 % (954495)Peak memory usage: 16 MB 4.14/1.17 % (954495)Instructions burned: 319 (million) 4.14/1.17 % (954503)Instruction limit reached! 4.14/1.17 % (954503)------------------------------ 4.14/1.17 % (954503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.14/1.17 % (954503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.14/1.17 % (954503)CaDiCaL version: 2.1.3 4.14/1.17 % (954503)Termination reason: Instruction limit 4.14/1.17 % (954503)Termination phase: shuffling 4.14/1.17 % (954503)Time elapsed: 0.010 s 4.14/1.17 % (954503)Peak memory usage: 10 MB 4.14/1.17 % (954503)Instructions burned: 21 (million) 4.14/1.17 % (954507)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1544419576:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_1795 on theBenchmark for (1795ds/13Mi) 4.14/1.17 % (954504)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 4.14/1.17 % (954507)Instruction limit reached! 4.14/1.17 % (954507)------------------------------ 4.14/1.17 % (954507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.14/1.17 % (954507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.14/1.17 % (954507)CaDiCaL version: 2.1.3 4.14/1.17 % (954507)Termination reason: Instruction limit 4.14/1.17 % (954507)Termination phase: shuffling 4.83/1.30 % (954507)Time elapsed: 0.004 s 4.83/1.30 % (954507)Peak memory usage: 10 MB 4.83/1.30 % (954507)Instructions burned: 17 (million) 4.83/1.30 % (954504)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4233834424:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_1795 on theBenchmark for (1795ds/200Mi) 4.83/1.30 % (954508)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=4240580768:i=66:s2at=3:nm=2:rtra=on:rawr=on_1795 on theBenchmark for (1795ds/66Mi) 4.83/1.30 % (954510)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2965816527:i=51:fsr=off:rtra=on_1795 on theBenchmark for (1795ds/51Mi) 4.83/1.30 % (954510)Instruction limit reached! 4.83/1.30 % (954510)------------------------------ 4.83/1.30 % (954510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.83/1.30 % (954510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.83/1.30 % (954510)CaDiCaL version: 2.1.3 4.83/1.30 % (954510)Termination reason: Instruction limit 4.83/1.30 % (954510)Termination phase: Property scanning 4.83/1.30 % (954510)Time elapsed: 0.013 s 4.83/1.30 % (954510)Peak memory usage: 11 MB 4.83/1.30 % (954510)Instructions burned: 56 (million) 4.83/1.30 % (954514)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=993075634:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_1794 on theBenchmark for (1794ds/31Mi) 4.83/1.30 % (954508)Instruction limit reached! 4.83/1.30 % (954508)------------------------------ 4.83/1.30 % (954508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.83/1.30 % (954508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.83/1.30 % (954508)CaDiCaL version: 2.1.3 4.83/1.30 % (954508)Termination reason: Instruction limit 4.83/1.30 % (954508)Termination phase: Property scanning 4.83/1.30 % (954508)Time elapsed: 0.029 s 4.83/1.30 % (954508)Peak memory usage: 11 MB 4.83/1.30 % (954508)Instructions burned: 67 (million) 4.83/1.30 % (954514)Instruction limit reached! 4.83/1.30 % (954514)------------------------------ 4.83/1.30 % (954514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.83/1.30 % (954514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.83/1.30 % (954514)CaDiCaL version: 2.1.3 4.83/1.30 % (954514)Termination reason: Instruction limit 4.83/1.30 % (954514)Termination phase: shuffling 4.83/1.30 % (954514)Time elapsed: 0.008 s 4.83/1.30 % (954514)Peak memory usage: 10 MB 4.83/1.30 % (954514)Instructions burned: 33 (million) 4.83/1.30 % (954517)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=747223687:cond=on:i=34:hud=10:nm=10:rtra=on_1794 on theBenchmark for (1794ds/34Mi) 4.83/1.30 % (954516)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3432397580:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_1794 on theBenchmark for (1794ds/137Mi) 4.83/1.30 % (954517)Instruction limit reached! 4.83/1.30 % (954517)------------------------------ 4.83/1.30 % (954517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.83/1.30 % (954517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.83/1.30 % (954517)CaDiCaL version: 2.1.3 4.83/1.30 % (954517)Termination reason: Instruction limit 4.83/1.30 % (954517)Termination phase: shuffling 4.83/1.30 % (954517)Time elapsed: 0.009 s 4.83/1.30 % (954517)Peak memory usage: 11 MB 4.83/1.30 % (954517)Instructions burned: 38 (million) 4.83/1.30 % (954520)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2632482592:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_1794 on theBenchmark for (1794ds/67Mi) 4.83/1.30 % (954520)Instruction limit reached! 4.83/1.30 % (954520)------------------------------ 4.83/1.30 % (954520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.83/1.30 % (954520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.83/1.30 % (954520)CaDiCaL version: 2.1.3 4.83/1.30 % (954520)Termination reason: Instruction limit 4.83/1.30 % (954520)Termination phase: Property scanning 4.83/1.30 % (954520)Time elapsed: 0.015 s 4.83/1.30 % (954520)Peak memory usage: 11 MB 4.83/1.30 % (954520)Instructions burned: 69 (million) 4.83/1.30 % (954522)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off 5.56/1.42 % (954522)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=977221939:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_1794 on theBenchmark for (1794ds/180Mi) 5.56/1.42 % (954417)Instruction limit reached! 5.56/1.42 % (954417)------------------------------ 5.56/1.42 % (954417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.42 % (954417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.42 % (954417)CaDiCaL version: 2.1.3 5.56/1.42 % (954417)Termination reason: Instruction limit 5.56/1.42 % (954417)Termination phase: Saturation 5.56/1.42 % (954417)Time elapsed: 0.555 s 5.56/1.42 % (954417)Peak memory usage: 21 MB 5.56/1.42 % (954417)Instructions burned: 634 (million) 5.56/1.42 % (954516)Instruction limit reached! 5.56/1.42 % (954516)------------------------------ 5.56/1.42 % (954516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.42 % (954516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.42 % (954516)CaDiCaL version: 2.1.3 5.56/1.42 % (954516)Termination reason: Instruction limit 5.56/1.42 % (954516)Termination phase: Twee Goal Transformation 5.56/1.42 % (954516)Time elapsed: 0.072 s 5.56/1.42 % (954516)Peak memory usage: 12 MB 5.56/1.42 % (954516)Instructions burned: 138 (million) 5.56/1.42 % (954522)Instruction limit reached! 5.56/1.42 % (954522)------------------------------ 5.56/1.42 % (954522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.42 % (954522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.42 % (954522)CaDiCaL version: 2.1.3 5.56/1.42 % (954522)Termination reason: Instruction limit 5.56/1.42 % (954522)Termination phase: Saturation 5.56/1.42 % (954522)Time elapsed: 0.039 s 5.56/1.42 % (954522)Peak memory usage: 13 MB 5.56/1.42 % (954522)Instructions burned: 183 (million) 5.56/1.42 % (954524)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3700126878:st=2:i=246:sd=3:rtra=on:ss=axioms_1793 on theBenchmark for (1793ds/246Mi) 5.56/1.42 % (954525)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2670822520:cond=on:i=96:bd=all:rtra=on_1793 on theBenchmark for (1793ds/96Mi) 5.56/1.42 % (954526)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2576572465:i=427:sd=1:rtra=on:ss=axioms_1793 on theBenchmark for (1793ds/427Mi) 5.56/1.42 % (954504)Instruction limit reached! 5.56/1.42 % (954504)------------------------------ 5.56/1.42 % (954504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.42 % (954504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.42 % (954504)CaDiCaL version: 2.1.3 5.56/1.42 % (954504)Termination reason: Instruction limit 5.56/1.42 % (954504)Termination phase: Saturation 5.56/1.42 % (954504)Time elapsed: 0.174 s 5.56/1.42 % (954504)Peak memory usage: 13 MB 5.56/1.42 % (954504)Instructions burned: 202 (million) 5.56/1.42 % (954525)Instruction limit reached! 5.56/1.42 % (954525)------------------------------ 5.56/1.42 % (954525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.42 % (954525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.42 % (954525)CaDiCaL version: 2.1.3 5.56/1.42 % (954525)Termination reason: Instruction limit 5.56/1.42 % (954525)Termination phase: Property scanning 5.56/1.42 % (954525)Time elapsed: 0.040 s 5.56/1.42 % (954525)Peak memory usage: 12 MB 5.56/1.42 % (954525)Instructions burned: 97 (million) 5.56/1.42 % (954530)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2069251615:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_1793 on theBenchmark for (1793ds/874Mi) 5.56/1.42 % (954531)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1781447086:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_1793 on theBenchmark for (1793ds/515Mi) 5.56/1.42 % (954524)Instruction limit reached! 5.56/1.42 % (954524)------------------------------ 5.56/1.42 % (954524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.42 % (954524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.42 % (954524)CaDiCaL version: 2.1.3 5.56/1.42 % (954524)Termination reason: Instruction limit 5.56/1.42 % (954524)Termination phase: Saturation 5.56/1.42 % (954524)Time elapsed: 0.104 s 5.56/1.42 % (954524)Peak memory usage: 14 MB 5.56/1.42 % (954524)Instructions burned: 248 (million) 5.56/1.42 % (954526)Instruction limit reached! 5.56/1.49 % (954526)------------------------------ 5.56/1.49 % (954526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.49 % (954526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.49 % (954526)CaDiCaL version: 2.1.3 5.56/1.49 % (954526)Termination reason: Instruction limit 5.56/1.49 % (954526)Termination phase: Saturation 5.56/1.49 % (954526)Time elapsed: 0.103 s 5.56/1.49 % (954526)Peak memory usage: 16 MB 5.56/1.49 % (954526)Instructions burned: 430 (million) 5.56/1.49 % (954535)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2199779062:i=44:ep=R:rtra=on:ntd=on_1792 on theBenchmark for (1792ds/44Mi) 5.56/1.49 % (954534)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=982701988:st=1.5:i=130:rtra=on:ss=axioms_1792 on theBenchmark for (1792ds/130Mi) 5.56/1.49 % (954535)Instruction limit reached! 5.56/1.49 % (954535)------------------------------ 5.56/1.49 % (954535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.49 % (954535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.49 % (954535)CaDiCaL version: 2.1.3 5.56/1.49 % (954535)Termination reason: Instruction limit 5.56/1.49 % (954535)Termination phase: Property scanning 5.56/1.49 % (954535)Time elapsed: 0.011 s 5.56/1.49 % (954535)Peak memory usage: 11 MB 5.56/1.49 % (954535)Instructions burned: 49 (million) 5.56/1.49 % (954538)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2328372945:s2a=on:i=571:nm=16:rtra=on_1792 on theBenchmark for (1792ds/571Mi) 5.56/1.49 % (954502)Instruction limit reached! 5.56/1.49 % (954502)------------------------------ 5.56/1.49 % (954502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.49 % (954502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.49 % (954502)CaDiCaL version: 2.1.3 5.56/1.49 % (954502)Termination reason: Instruction limit 5.56/1.49 % (954502)Termination phase: Saturation 5.56/1.49 % (954502)Time elapsed: 0.341 s 5.56/1.49 % (954502)Peak memory usage: 18 MB 5.56/1.49 % (954502)Instructions burned: 480 (million) 5.56/1.49 % (954534)Instruction limit reached! 5.56/1.49 % (954534)------------------------------ 5.56/1.49 % (954534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.49 % (954534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.49 % (954534)CaDiCaL version: 2.1.3 5.56/1.49 % (954534)Termination reason: Instruction limit 5.56/1.49 % (954534)Termination phase: Property scanning 5.56/1.49 % (954534)Time elapsed: 0.052 s 5.56/1.49 % (954534)Peak memory usage: 11 MB 5.56/1.49 % (954534)Instructions burned: 130 (million) 5.56/1.49 % (954540)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1510767622:i=450:rtra=on:ixr=off:ntd=on_1792 on theBenchmark for (1792ds/450Mi) 5.56/1.49 % (954541)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3929819459:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_1791 on theBenchmark for (1791ds/95Mi) 5.56/1.49 % (954498)Instruction limit reached! 5.56/1.49 % (954498)------------------------------ 5.56/1.49 % (954498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.49 % (954498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.49 % (954498)CaDiCaL version: 2.1.3 5.56/1.49 % (954498)Termination reason: Instruction limit 5.56/1.49 % (954498)Termination phase: Saturation 5.56/1.49 % (954498)Time elapsed: 0.438 s 5.56/1.49 % (954498)Peak memory usage: 22 MB 5.56/1.49 % (954498)Instructions burned: 854 (million) 5.56/1.49 % (954541)Instruction limit reached! 5.56/1.49 % (954541)------------------------------ 5.56/1.49 % (954541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.56/1.49 % (954541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.56/1.49 % (954541)CaDiCaL version: 2.1.3 5.56/1.49 % (954541)Termination reason: Instruction limit 5.56/1.49 % (954541)Termination phase: Property scanning 5.56/1.49 % (954541)Time elapsed: 0.040 s 5.56/1.49 % (954541)Peak memory usage: 12 MB 5.56/1.49 % (954541)Instructions burned: 97 (million) 5.56/1.49 % (954544)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=452171527:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_1791 on theBenchmark for (1791ds/65Mi) 6.76/1.61 % (954545)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=4154575962:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_1791 on theBenchmark for (1791ds/105Mi) 6.76/1.61 % (954544)Instruction limit reached! 6.76/1.61 % (954544)------------------------------ 6.76/1.61 % (954544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.76/1.61 % (954544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.76/1.61 % (954544)CaDiCaL version: 2.1.3 6.76/1.61 % (954544)Termination reason: Instruction limit 6.76/1.61 % (954544)Termination phase: Property scanning 6.76/1.61 % (954544)Time elapsed: 0.028 s 6.76/1.61 % (954544)Peak memory usage: 11 MB 6.76/1.61 % (954544)Instructions burned: 66 (million) 6.76/1.61 % (954538)Instruction limit reached! 6.76/1.61 % (954538)------------------------------ 6.76/1.61 % (954538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.76/1.61 % (954538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.76/1.61 % (954538)CaDiCaL version: 2.1.3 6.76/1.61 % (954538)Termination reason: Instruction limit 6.76/1.61 % (954538)Termination phase: Saturation 6.76/1.61 % (954538)Time elapsed: 0.145 s 6.76/1.61 % (954538)Peak memory usage: 20 MB 6.76/1.61 % (954538)Instructions burned: 574 (million) 6.76/1.61 % (954548)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=466543435:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_1791 on theBenchmark for (1791ds/5755Mi) 6.76/1.61 % (954549)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=4172566467:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_1790 on theBenchmark for (1790ds/375Mi) 6.76/1.61 % (954531)Instruction limit reached! 6.76/1.61 % (954531)------------------------------ 6.76/1.61 % (954531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.76/1.61 % (954531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.76/1.61 % (954531)CaDiCaL version: 2.1.3 6.76/1.61 % (954531)Termination reason: Instruction limit 6.76/1.61 % (954531)Termination phase: Saturation 6.76/1.61 % (954531)Time elapsed: 0.234 s 6.76/1.61 % (954531)Peak memory usage: 16 MB 6.76/1.61 % (954531)Instructions burned: 517 (million) 6.76/1.61 % (954545)Instruction limit reached! 6.76/1.61 % (954545)------------------------------ 6.76/1.61 % (954545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.76/1.61 % (954545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.76/1.61 % (954545)CaDiCaL version: 2.1.3 6.76/1.61 % (954545)Termination reason: Instruction limit 6.76/1.61 % (954545)Termination phase: Property scanning 6.76/1.61 % (954545)Time elapsed: 0.043 s 6.76/1.61 % (954545)Peak memory usage: 11 MB 6.76/1.61 % (954545)Instructions burned: 105 (million) 6.76/1.61 % (954552)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3476114950:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1790 on theBenchmark for (1790ds/495Mi) 6.76/1.61 % (954553)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2428860079:cond=on:i=34:hud=10:nm=10:rtra=on_1790 on theBenchmark for (1790ds/34Mi) 6.76/1.61 % (954553)Instruction limit reached! 6.76/1.61 % (954553)------------------------------ 6.76/1.61 % (954553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.76/1.61 % (954553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.76/1.61 % (954553)CaDiCaL version: 2.1.3 6.76/1.61 % (954553)Termination reason: Instruction limit 6.76/1.61 % (954553)Termination phase: shuffling 6.76/1.61 % (954553)Time elapsed: 0.015 s 6.76/1.61 % (954553)Peak memory usage: 11 MB 6.76/1.61 % (954553)Instructions burned: 35 (million) 6.76/1.61 % (954556)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=91941763:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_1790 on theBenchmark for (1790ds/91Mi) 6.76/1.61 % (954475)Instruction limit reached! 6.76/1.61 % (954475)------------------------------ 6.76/1.61 % (954475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.39/1.71 % (954475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.39/1.71 % (954475)CaDiCaL version: 2.1.3 7.39/1.71 % (954475)Termination reason: Instruction limit 7.39/1.71 % (954475)Termination phase: Saturation 7.39/1.71 % (954475)Time elapsed: 0.702 s 7.39/1.71 % (954475)Peak memory usage: 19 MB 7.39/1.71 % (954475)Instructions burned: 1241 (million) 7.39/1.71 % (954540)Instruction limit reached! 7.39/1.71 % (954540)------------------------------ 7.39/1.71 % (954540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.39/1.71 % (954540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.39/1.71 % (954540)CaDiCaL version: 2.1.3 7.39/1.71 % (954540)Termination reason: Instruction limit 7.39/1.71 % (954540)Termination phase: Saturation 7.39/1.71 % (954540)Time elapsed: 0.198 s 7.39/1.71 % (954540)Peak memory usage: 19 MB 7.39/1.71 % (954540)Instructions burned: 452 (million) 7.39/1.71 % (954558)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=942164000:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_1790 on theBenchmark for (1790ds/66Mi) 7.39/1.71 % (954549)Instruction limit reached! 7.39/1.71 % (954549)------------------------------ 7.39/1.71 % (954549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.39/1.71 % (954549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.39/1.71 % (954549)CaDiCaL version: 2.1.3 7.39/1.71 % (954549)Termination reason: Instruction limit 7.39/1.71 % (954549)Termination phase: Saturation 7.39/1.71 % (954549)Time elapsed: 0.087 s 7.39/1.71 % (954549)Peak memory usage: 15 MB 7.39/1.71 % (954549)Instructions burned: 377 (million) 7.39/1.71 % (954556)Instruction limit reached! 7.39/1.71 % (954556)------------------------------ 7.39/1.71 % (954556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.39/1.71 % (954556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.39/1.71 % (954556)CaDiCaL version: 2.1.3 7.39/1.71 % (954556)Termination reason: Instruction limit 7.39/1.71 % (954556)Termination phase: SInE selection 7.39/1.71 % (954556)Time elapsed: 0.038 s 7.39/1.71 % (954556)Peak memory usage: 11 MB 7.39/1.71 % (954556)Instructions burned: 92 (million) 7.39/1.71 % (954561)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=121724588:i=338:bd=all:ins=4:rtra=on_1789 on theBenchmark for (1789ds/338Mi) 7.39/1.71 % (954560)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=886314622:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1789 on theBenchmark for (1789ds/22Mi) 7.39/1.71 % (954560)Instruction limit reached! 7.39/1.71 % (954560)------------------------------ 7.39/1.71 % (954560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.39/1.71 % (954560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.39/1.71 % (954560)CaDiCaL version: 2.1.3 7.39/1.71 % (954560)Termination reason: Instruction limit 7.39/1.71 % (954560)Termination phase: shuffling 7.39/1.71 % (954560)Time elapsed: 0.010 s 7.39/1.71 % (954560)Peak memory usage: 10 MB 7.39/1.71 % (954560)Instructions burned: 22 (million) 7.39/1.71 % (954558)Instruction limit reached! 7.39/1.71 % (954558)------------------------------ 7.39/1.71 % (954558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.39/1.71 % (954558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.39/1.71 % (954558)CaDiCaL version: 2.1.3 7.39/1.71 % (954558)Termination reason: Instruction limit 7.39/1.71 % (954558)Termination phase: Preprocessing 3 7.39/1.71 % (954558)Time elapsed: 0.029 s 7.39/1.71 % (954558)Peak memory usage: 11 MB 7.39/1.71 % (954558)Instructions burned: 67 (million) 7.39/1.71 % (954563)lrs+10_1_sil=128000:si=on:urr=on:random_seed=655043234:i=28:sd=1:rtra=on:ss=axioms:sgt=64_1789 on theBenchmark for (1789ds/28Mi) 7.39/1.71 % (954565)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on 7.39/1.71 % (954563)Instruction limit reached! 7.39/1.71 % (954563)------------------------------ 7.39/1.71 % (954563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.39/1.71 % (954563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.48/1.91 % (954563)CaDiCaL version: 2.1.3 8.48/1.91 % (954563)Termination reason: Instruction limit 8.48/1.91 % (954563)Termination phase: shuffling 8.48/1.91 % (954563)Time elapsed: 0.014 s 8.48/1.91 % (954563)Peak memory usage: 10 MB 8.48/1.91 % (954563)Instructions burned: 30 (million) 8.48/1.91 % (954565)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2709919194:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_1789 on theBenchmark for (1789ds/137Mi) 8.48/1.91 % (954566)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3614056453:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_1789 on theBenchmark for (1789ds/340Mi) 8.48/1.91 % (954568)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3944853997:i=227:sd=1:bd=all:rtra=on:ss=axioms_1789 on theBenchmark for (1789ds/227Mi) 8.48/1.91 % (954530)Instruction limit reached! 8.48/1.91 % (954530)------------------------------ 8.48/1.91 % (954530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.48/1.91 % (954530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.48/1.91 % (954530)CaDiCaL version: 2.1.3 8.48/1.91 % (954530)Termination reason: Instruction limit 8.48/1.91 % (954530)Termination phase: Saturation 8.48/1.91 % (954530)Time elapsed: 0.422 s 8.48/1.91 % (954530)Peak memory usage: 17 MB 8.48/1.91 % (954530)Instructions burned: 875 (million) 8.48/1.91 % (954561)Instruction limit reached! 8.48/1.91 % (954561)------------------------------ 8.48/1.91 % (954561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.48/1.91 % (954561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.48/1.91 % (954561)CaDiCaL version: 2.1.3 8.48/1.91 % (954561)Termination reason: Instruction limit 8.48/1.91 % (954561)Termination phase: Saturation 8.48/1.91 % (954561)Time elapsed: 0.076 s 8.48/1.91 % (954561)Peak memory usage: 18 MB 8.48/1.91 % (954561)Instructions burned: 342 (million) 8.48/1.91 % (954573)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3495479741:i=116:ep=RSTC:rtra=on:ntd=on_1788 on theBenchmark for (1788ds/116Mi) 8.48/1.91 % (954572)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on 8.48/1.91 % (954565)Instruction limit reached! 8.48/1.91 % (954565)------------------------------ 8.48/1.91 % (954565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.48/1.91 % (954565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.48/1.91 % (954565)CaDiCaL version: 2.1.3 8.48/1.91 % (954565)Termination reason: Instruction limit 8.48/1.91 % (954565)Termination phase: Property scanning 8.48/1.91 % (954565)Time elapsed: 0.057 s 8.48/1.91 % (954565)Peak memory usage: 11 MB 8.48/1.91 % (954565)Instructions burned: 140 (million) 8.48/1.91 % (954572)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3321852628:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_1789 on theBenchmark for (1789ds/373Mi) 8.48/1.91 % (954575)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3188971341:i=575:rtra=on_1788 on theBenchmark for (1788ds/575Mi) 8.48/1.91 % (954573)Instruction limit reached! 8.48/1.91 % (954573)------------------------------ 8.48/1.91 % (954573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.48/1.91 % (954573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 8.48/1.91 % (954573)CaDiCaL version: 2.1.3 8.48/1.91 % (954573)Termination reason: Instruction limit 8.48/1.91 % (954573)Termination phase: Property scanning 8.48/1.91 % (954573)Time elapsed: 0.028 s 8.48/1.91 % (954573)Peak memory usage: 13 MB 8.48/1.91 % (954573)Instructions burned: 119 (million) 8.48/1.91 % (954578)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1020449206:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_1788 on theBenchmark for (1788ds/270Mi) 8.48/1.91 % (954568)Instruction limit reached! 8.48/1.91 % (954568)------------------------------ 8.48/1.91 % (954568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 8.48/1.91 % (954568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.68/2.07 % (954568)CaDiCaL version: 2.1.3 10.68/2.07 % (954568)Termination reason: Instruction limit 10.68/2.07 % (954568)Termination phase: Saturation 10.68/2.07 % (954568)Time elapsed: 0.096 s 10.68/2.07 % (954568)Peak memory usage: 15 MB 10.68/2.07 % (954568)Instructions burned: 228 (million) 10.68/2.07 % (954552)Instruction limit reached! 10.68/2.07 % (954552)------------------------------ 10.68/2.07 % (954552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 10.68/2.07 % (954552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.68/2.07 % (954552)CaDiCaL version: 2.1.3 10.68/2.07 % (954552)Termination reason: Instruction limit 10.68/2.07 % (954552)Termination phase: Saturation 10.68/2.07 % (954552)Time elapsed: 0.241 s 10.68/2.07 % (954552)Peak memory usage: 18 MB 10.68/2.07 % (954552)Instructions burned: 495 (million) 10.68/2.07 % (954580)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3334845368:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1788 on theBenchmark for (1788ds/9840Mi) 10.68/2.07 % (954566)Instruction limit reached! 10.68/2.07 % (954566)------------------------------ 10.68/2.07 % (954566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 10.68/2.07 % (954566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.68/2.07 % (954566)CaDiCaL version: 2.1.3 10.68/2.07 % (954566)Termination reason: Instruction limit 10.68/2.07 % (954566)Termination phase: Saturation 10.68/2.07 % (954566)Time elapsed: 0.143 s 10.68/2.07 % (954566)Peak memory usage: 14 MB 10.68/2.07 % (954566)Instructions burned: 340 (million) 10.68/2.07 % (954581)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3496741621:i=421:rtra=on:ss=axioms_1788 on theBenchmark for (1788ds/421Mi) 10.68/2.07 % (954578)Instruction limit reached! 10.68/2.07 % (954578)------------------------------ 10.68/2.07 % (954578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 10.68/2.07 % (954578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.68/2.07 % (954578)CaDiCaL version: 2.1.3 10.68/2.07 % (954578)Termination reason: Instruction limit 10.68/2.07 % (954578)Termination phase: Saturation 10.68/2.07 % (954578)Time elapsed: 0.058 s 10.68/2.07 % (954578)Peak memory usage: 15 MB 10.68/2.07 % (954578)Instructions burned: 271 (million) 10.68/2.07 % (954583)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 10.68/2.07 % (954585)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3732286479:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_1787 on theBenchmark for (1787ds/31Mi) 10.68/2.07 % (954583)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2129555415:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_1787 on theBenchmark for (1787ds/270Mi) 10.68/2.07 % (954585)Instruction limit reached! 10.68/2.07 % (954585)------------------------------ 10.68/2.07 % (954585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 10.68/2.07 % (954585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.68/2.07 % (954585)CaDiCaL version: 2.1.3 10.68/2.07 % (954585)Termination reason: Instruction limit 10.68/2.07 % (954585)Termination phase: shuffling 10.68/2.07 % (954585)Time elapsed: 0.008 s 10.68/2.07 % (954585)Peak memory usage: 11 MB 10.68/2.07 % (954585)Instructions burned: 35 (million) 10.68/2.07 % (954588)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on 10.68/2.07 % (954588)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 10.68/2.07 % (954588)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1458711607:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_1787 on theBenchmark for (1787ds/1440Mi) 10.68/2.07 % (954572)Instruction limit reached! 10.68/2.07 % (954572)------------------------------ 10.68/2.07 % (954572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.67/2.29 % (954572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.67/2.29 % (954572)CaDiCaL version: 2.1.3 11.67/2.29 % (954572)Termination reason: Instruction limit 11.67/2.29 % (954572)Termination phase: Saturation 11.67/2.29 % (954572)Time elapsed: 0.160 s 11.67/2.29 % (954572)Peak memory usage: 13 MB 11.67/2.29 % (954572)Instructions burned: 373 (million) 11.67/2.29 % (954590)dis+10_2_sil=128000:si=on:random_seed=288979312:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_1787 on theBenchmark for (1787ds/339Mi) 11.67/2.29 % (954583)Instruction limit reached! 11.67/2.29 % (954583)------------------------------ 11.67/2.29 % (954583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.67/2.29 % (954583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.67/2.29 % (954583)CaDiCaL version: 2.1.3 11.67/2.29 % (954583)Termination reason: Instruction limit 11.67/2.29 % (954583)Termination phase: Saturation 11.67/2.29 % (954583)Time elapsed: 0.114 s 11.67/2.29 % (954583)Peak memory usage: 15 MB 11.67/2.29 % (954583)Instructions burned: 270 (million) 11.67/2.29 % (954592)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=4064903304:i=111:add=on:fgj=on:rtra=on:fdi=1024_1786 on theBenchmark for (1786ds/111Mi) 11.67/2.29 % (954581)Instruction limit reached! 11.67/2.29 % (954581)------------------------------ 11.67/2.29 % (954581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.67/2.29 % (954581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.67/2.29 % (954581)CaDiCaL version: 2.1.3 11.67/2.29 % (954581)Termination reason: Instruction limit 11.67/2.29 % (954581)Termination phase: Saturation 11.67/2.29 % (954581)Time elapsed: 0.195 s 11.67/2.29 % (954581)Peak memory usage: 16 MB 11.67/2.29 % (954581)Instructions burned: 422 (million) 11.67/2.29 % (954592)Instruction limit reached! 11.67/2.29 % (954592)------------------------------ 11.67/2.29 % (954592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.67/2.29 % (954592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.67/2.29 % (954592)CaDiCaL version: 2.1.3 11.67/2.29 % (954592)Termination reason: Instruction limit 11.67/2.29 % (954592)Termination phase: Function definition elimination 11.67/2.29 % (954592)Time elapsed: 0.046 s 11.67/2.29 % (954592)Peak memory usage: 12 MB 11.67/2.29 % (954592)Instructions burned: 112 (million) 11.67/2.29 % (954594)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3349093927:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_1785 on theBenchmark for (1785ds/122Mi) 11.67/2.29 % (954575)Instruction limit reached! 11.67/2.29 % (954575)------------------------------ 11.67/2.29 % (954575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.67/2.29 % (954575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.67/2.29 % (954575)CaDiCaL version: 2.1.3 11.67/2.29 % (954575)Termination reason: Instruction limit 11.67/2.29 % (954575)Termination phase: Saturation 11.67/2.29 % (954575)Time elapsed: 0.286 s 11.67/2.29 % (954575)Peak memory usage: 17 MB 11.67/2.29 % (954575)Instructions burned: 576 (million) 11.67/2.29 % (954595)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=719637067:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_1785 on theBenchmark for (1785ds/136Mi) 11.67/2.29 % (954598)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2267364573:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1785 on theBenchmark for (1785ds/232Mi) 11.67/2.29 % (954590)Instruction limit reached! 11.67/2.29 % (954590)------------------------------ 11.67/2.29 % (954590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.67/2.29 % (954590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.67/2.29 % (954590)CaDiCaL version: 2.1.3 11.67/2.29 % (954590)Termination reason: Instruction limit 11.67/2.29 % (954590)Termination phase: Saturation 11.67/2.29 % (954590)Time elapsed: 0.150 s 11.67/2.29 % (954590)Peak memory usage: 15 MB 11.67/2.29 % (954590)Instructions burned: 340 (million) 11.67/2.29 % (954600)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=1571405584:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_1785 on theBenchmark for (1785ds/1254Mi) 13.09/2.47 % (954594)Instruction limit reached! 13.09/2.47 % (954594)------------------------------ 13.09/2.47 % (954594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.09/2.47 % (954594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.09/2.47 % (954594)CaDiCaL version: 2.1.3 13.09/2.47 % (954594)Termination reason: Instruction limit 13.09/2.47 % (954594)Termination phase: Property scanning 13.09/2.47 % (954594)Time elapsed: 0.051 s 13.09/2.47 % (954594)Peak memory usage: 12 MB 13.09/2.47 % (954594)Instructions burned: 122 (million) 13.09/2.47 % (954595)Instruction limit reached! 13.09/2.47 % (954595)------------------------------ 13.09/2.47 % (954595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.09/2.47 % (954595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.09/2.47 % (954595)CaDiCaL version: 2.1.3 13.09/2.47 % (954595)Termination reason: Instruction limit 13.09/2.47 % (954595)Termination phase: Property scanning 13.09/2.47 % (954595)Time elapsed: 0.057 s 13.09/2.47 % (954595)Peak memory usage: 12 MB 13.09/2.47 % (954595)Instructions burned: 138 (million) 13.09/2.47 % (954602)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 13.09/2.47 % (954602)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3164383273:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_1785 on theBenchmark for (1785ds/281Mi) 13.09/2.47 % (954603)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=913301143:i=619:add=on:rtra=on_1785 on theBenchmark for (1785ds/619Mi) 13.09/2.47 % (954598)Instruction limit reached! 13.09/2.47 % (954598)------------------------------ 13.09/2.47 % (954598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.09/2.47 % (954598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.09/2.47 % (954598)CaDiCaL version: 2.1.3 13.09/2.47 % (954598)Termination reason: Instruction limit 13.09/2.47 % (954598)Termination phase: Saturation 13.09/2.47 % (954598)Time elapsed: 0.102 s 13.09/2.47 % (954598)Peak memory usage: 15 MB 13.09/2.47 % (954598)Instructions burned: 232 (million) 13.09/2.47 % (954606)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2522949214:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_1784 on theBenchmark for (1784ds/865Mi) 13.09/2.47 % (954588)Instruction limit reached! 13.09/2.47 % (954588)------------------------------ 13.09/2.47 % (954588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.09/2.47 % (954588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.09/2.47 % (954588)CaDiCaL version: 2.1.3 13.09/2.47 % (954588)Termination reason: Instruction limit 13.09/2.47 % (954588)Termination phase: Saturation 13.09/2.47 % (954588)Time elapsed: 0.331 s 13.09/2.47 % (954588)Peak memory usage: 27 MB 13.09/2.47 % (954588)Instructions burned: 1441 (million) 13.09/2.47 % (954608)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2615244802:i=212:sd=1:rtra=on:ss=axioms:sgt=64_1784 on theBenchmark for (1784ds/212Mi) 13.09/2.47 % (954602)Instruction limit reached! 13.09/2.47 % (954602)------------------------------ 13.09/2.47 % (954602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.09/2.47 % (954602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.09/2.47 % (954602)CaDiCaL version: 2.1.3 13.09/2.47 % (954602)Termination reason: Instruction limit 13.09/2.47 % (954602)Termination phase: Saturation 13.09/2.47 % (954602)Time elapsed: 0.114 s 13.09/2.47 % (954602)Peak memory usage: 13 MB 13.09/2.47 % (954602)Instructions burned: 283 (million) 13.09/2.47 % (954610)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3456526880:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_1783 on theBenchmark for (1783ds/130Mi) 13.09/2.47 % (954608)Instruction limit reached! 13.09/2.47 % (954608)------------------------------ 13.09/2.47 % (954608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.09/2.47 % (954608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.09/2.47 % (954608)CaDiCaL version: 2.1.3 13.09/2.47 % (954608)Termination reason: Instruction limit 14.61/2.71 % (954608)Termination phase: Saturation 14.61/2.71 % (954608)Time elapsed: 0.048 s 14.61/2.71 % (954608)Peak memory usage: 14 MB 14.61/2.71 % (954608)Instructions burned: 216 (million) 14.61/2.71 % (954612)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=43666813:st=1.5:i=346:rtra=on:ss=axioms_1783 on theBenchmark for (1783ds/346Mi) 14.61/2.71 % (954610)Instruction limit reached! 14.61/2.71 % (954610)------------------------------ 14.61/2.71 % (954610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.61/2.71 % (954610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.61/2.71 % (954610)CaDiCaL version: 2.1.3 14.61/2.71 % (954610)Termination reason: Instruction limit 14.61/2.71 % (954610)Termination phase: Function definition elimination 14.61/2.71 % (954610)Time elapsed: 0.054 s 14.61/2.71 % (954610)Peak memory usage: 12 MB 14.61/2.71 % (954610)Instructions burned: 130 (million) 14.61/2.71 % (954614)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1372131763:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_1783 on theBenchmark for (1783ds/152Mi) 14.61/2.71 % (954614)Instruction limit reached! 14.61/2.71 % (954614)------------------------------ 14.61/2.71 % (954614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.61/2.71 % (954614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.61/2.71 % (954614)CaDiCaL version: 2.1.3 14.61/2.71 % (954614)Termination reason: Instruction limit 14.61/2.71 % (954614)Termination phase: Property scanning 14.61/2.71 % (954614)Time elapsed: 0.033 s 14.61/2.71 % (954614)Peak memory usage: 13 MB 14.61/2.71 % (954614)Instructions burned: 154 (million) 14.61/2.71 % (954616)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2921172654:i=75:ep=R:rtra=on:ntd=on_1782 on theBenchmark for (1782ds/75Mi) 14.61/2.71 % (954616)Instruction limit reached! 14.61/2.71 % (954616)------------------------------ 14.61/2.71 % (954616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.61/2.71 % (954616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.61/2.71 % (954616)CaDiCaL version: 2.1.3 14.61/2.71 % (954616)Termination reason: Instruction limit 14.61/2.71 % (954616)Termination phase: shuffling 14.61/2.71 % (954616)Time elapsed: 0.017 s 14.61/2.71 % (954616)Peak memory usage: 11 MB 14.61/2.71 % (954616)Instructions burned: 78 (million) 14.61/2.71 % (954618)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=244089948:st=2.5:i=387:sd=2:rtra=on:ss=axioms_1782 on theBenchmark for (1782ds/387Mi) 14.61/2.71 % (954603)Instruction limit reached! 14.61/2.71 % (954603)------------------------------ 14.61/2.71 % (954603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.61/2.71 % (954603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.61/2.71 % (954603)CaDiCaL version: 2.1.3 14.61/2.71 % (954603)Termination reason: Instruction limit 14.61/2.71 % (954603)Termination phase: Saturation 14.61/2.71 % (954603)Time elapsed: 0.272 s 14.61/2.71 % (954603)Peak memory usage: 16 MB 14.61/2.71 % (954603)Instructions burned: 619 (million) 14.61/2.71 % (954620)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1306758029:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_1782 on theBenchmark for (1782ds/148Mi) 14.61/2.71 % (954612)Instruction limit reached! 14.61/2.71 % (954612)------------------------------ 14.61/2.71 % (954612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.61/2.71 % (954612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.61/2.71 % (954612)CaDiCaL version: 2.1.3 14.61/2.71 % (954612)Termination reason: Instruction limit 14.61/2.71 % (954612)Termination phase: Saturation 14.61/2.71 % (954612)Time elapsed: 0.148 s 14.61/2.71 % (954612)Peak memory usage: 16 MB 14.61/2.71 % (954612)Instructions burned: 347 (million) 14.61/2.71 % (954622)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3396035576:i=161:piset=and:rtra=on:ntd=on_1781 on theBenchmark for (1781ds/161Mi) 14.61/2.71 % (954618)Instruction limit reached! 14.61/2.71 % (954618)------------------------------ 14.61/2.71 % (954618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.61/2.71 % (954618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.84/2.90 % (954618)CaDiCaL version: 2.1.3 15.84/2.90 % (954618)Termination reason: Instruction limit 15.84/2.90 % (954618)Termination phase: Saturation 15.84/2.90 % (954618)Time elapsed: 0.082 s 15.84/2.90 % (954618)Peak memory usage: 15 MB 15.84/2.90 % (954618)Instructions burned: 393 (million) 15.84/2.90 % (954620)Instruction limit reached! 15.84/2.90 % (954620)------------------------------ 15.84/2.90 % (954620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.84/2.90 % (954620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.84/2.90 % (954620)CaDiCaL version: 2.1.3 15.84/2.90 % (954620)Termination reason: Instruction limit 15.84/2.90 % (954620)Termination phase: Saturation 15.84/2.90 % (954620)Time elapsed: 0.063 s 15.84/2.90 % (954620)Peak memory usage: 13 MB 15.84/2.90 % (954620)Instructions burned: 153 (million) 15.84/2.90 % (954624)lrs+10_1_sil=128000:si=on:random_seed=1831544934:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_1781 on theBenchmark for (1781ds/888Mi) 15.84/2.90 % (954625)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=2582011768:i=136:add=on:ins=4:rtra=on:sup=off_1781 on theBenchmark for (1781ds/136Mi) 15.84/2.90 % (954622)Instruction limit reached! 15.84/2.90 % (954622)------------------------------ 15.84/2.90 % (954622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.84/2.90 % (954622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.84/2.90 % (954622)CaDiCaL version: 2.1.3 15.84/2.90 % (954622)Termination reason: Instruction limit 15.84/2.90 % (954622)Termination phase: Saturation 15.84/2.90 % (954622)Time elapsed: 0.068 s 15.84/2.90 % (954622)Peak memory usage: 13 MB 15.84/2.90 % (954622)Instructions burned: 162 (million) 15.84/2.90 % (954628)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3120135767:i=88:s2at=3:nm=2:rtra=on:rawr=on_1781 on theBenchmark for (1781ds/88Mi) 15.84/2.90 % (954625)Instruction limit reached! 15.84/2.90 % (954625)------------------------------ 15.84/2.90 % (954625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.84/2.90 % (954625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.84/2.91 % (954625)CaDiCaL version: 2.1.3 15.84/2.91 % (954625)Termination reason: Instruction limit 15.84/2.91 % (954625)Termination phase: Property scanning 15.84/2.91 % (954625)Time elapsed: 0.057 s 15.84/2.91 % (954625)Peak memory usage: 12 MB 15.84/2.91 % (954625)Instructions burned: 138 (million) 15.84/2.91 % (954628)Instruction limit reached! 15.84/2.91 % (954628)------------------------------ 15.84/2.91 % (954628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.84/2.91 % (954628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.84/2.91 % (954628)CaDiCaL version: 2.1.3 15.84/2.91 % (954628)Termination reason: Instruction limit 15.84/2.91 % (954628)Termination phase: SInE selection 15.84/2.91 % (954628)Time elapsed: 0.037 s 15.84/2.91 % (954628)Peak memory usage: 11 MB 15.84/2.91 % (954628)Instructions burned: 90 (million) 15.84/2.91 % (954630)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4263893687:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_1780 on theBenchmark for (1780ds/93Mi) 15.84/2.91 % (954631)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2184848460:i=2186:rtra=on:ixr=off_1780 on theBenchmark for (1780ds/2186Mi) 15.84/2.91 % (954630)Instruction limit reached! 15.84/2.91 % (954630)------------------------------ 15.84/2.91 % (954630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.84/2.91 % (954630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.84/2.91 % (954630)CaDiCaL version: 2.1.3 15.84/2.91 % (954630)Termination reason: Instruction limit 15.84/2.91 % (954630)Termination phase: Clausification 15.84/2.91 % (954630)Time elapsed: 0.039 s 15.84/2.91 % (954630)Peak memory usage: 12 MB 15.84/2.91 % (954630)Instructions burned: 93 (million) 15.84/2.91 % (954634)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4173218200:s2a=on:i=240:rtra=on:ntd=on_1780 on theBenchmark for (1780ds/240Mi) 15.84/2.91 % (954606)Instruction limit reached! 15.84/2.91 % (954606)------------------------------ 15.84/2.91 % (954606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.29/3.17 % (954606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.29/3.17 % (954606)CaDiCaL version: 2.1.3 18.29/3.17 % (954606)Termination reason: Instruction limit 18.29/3.17 % (954606)Termination phase: Saturation 18.29/3.17 % (954606)Time elapsed: 0.469 s 18.29/3.17 % (954606)Peak memory usage: 22 MB 18.29/3.17 % (954606)Instructions burned: 867 (million) 18.29/3.17 % (954636)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1757790725:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_1779 on theBenchmark for (1779ds/805Mi) 18.29/3.17 % (954624)Instruction limit reached! 18.29/3.17 % (954624)------------------------------ 18.29/3.17 % (954624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.29/3.17 % (954624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.29/3.17 % (954624)CaDiCaL version: 2.1.3 18.29/3.17 % (954624)Termination reason: Instruction limit 18.29/3.17 % (954624)Termination phase: Saturation 18.29/3.17 % (954624)Time elapsed: 0.229 s 18.29/3.17 % (954624)Peak memory usage: 18 MB 18.29/3.17 % (954624)Instructions burned: 889 (million) 18.29/3.17 % (954638)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on 18.29/3.17 % (954638)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=3292765804:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_1779 on theBenchmark for (1779ds/391Mi) 18.29/3.17 % (954634)Instruction limit reached! 18.29/3.17 % (954634)------------------------------ 18.29/3.17 % (954634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.29/3.17 % (954634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.29/3.17 % (954634)CaDiCaL version: 2.1.3 18.29/3.17 % (954634)Termination reason: Instruction limit 18.29/3.17 % (954634)Termination phase: Saturation 18.29/3.17 % (954634)Time elapsed: 0.106 s 18.29/3.17 % (954634)Peak memory usage: 15 MB 18.29/3.17 % (954634)Instructions burned: 241 (million) 18.29/3.17 % (954640)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2591388449:i=355:av=off:fsr=off:rtra=on:ixr=off_1778 on theBenchmark for (1778ds/355Mi) 18.29/3.17 % (954600)Instruction limit reached! 18.29/3.17 % (954600)------------------------------ 18.29/3.17 % (954600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.29/3.17 % (954600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.29/3.17 % (954600)CaDiCaL version: 2.1.3 18.29/3.17 % (954600)Termination reason: Instruction limit 18.29/3.17 % (954600)Termination phase: Saturation 18.29/3.17 % (954600)Time elapsed: 0.672 s 18.29/3.17 % (954600)Peak memory usage: 23 MB 18.29/3.17 % (954600)Instructions burned: 1254 (million) 18.29/3.17 % (954642)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2883700135:lrd=on:i=314:sd=1:rtra=on:ss=axioms_1778 on theBenchmark for (1778ds/314Mi) 18.29/3.17 % (954638)Instruction limit reached! 18.29/3.17 % (954638)------------------------------ 18.29/3.17 % (954638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.29/3.17 % (954638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.29/3.17 % (954638)CaDiCaL version: 2.1.3 18.29/3.17 % (954638)Termination reason: Instruction limit 18.29/3.17 % (954638)Termination phase: Saturation 18.29/3.17 % (954638)Time elapsed: 0.086 s 18.29/3.17 % (954638)Peak memory usage: 14 MB 18.29/3.17 % (954638)Instructions burned: 396 (million) 18.29/3.17 % (954644)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1545838233:s2a=on:i=251:fsr=off:rtra=on_1778 on theBenchmark for (1778ds/251Mi) 18.29/3.17 % (954644)Instruction limit reached! 18.29/3.17 % (954644)------------------------------ 18.29/3.17 % (954644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.29/3.17 % (954644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.29/3.17 % (954644)CaDiCaL version: 2.1.3 18.29/3.17 % (954644)Termination reason: Instruction limit 18.29/3.17 % (954644)Termination phase: Saturation 18.29/3.17 % (954644)Time elapsed: 0.058 s 18.29/3.17 % (954644)Peak memory usage: 15 MB 18.29/3.17 % (954644)Instructions burned: 253 (million) 18.29/3.17 % (954646)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3283517134:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_1777 on theBenchmark for (1777ds/2470Mi) 19.93/3.45 % (954642)Instruction limit reached! 19.93/3.45 % (954642)------------------------------ 19.93/3.45 % (954642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.93/3.45 % (954642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.93/3.45 % (954642)CaDiCaL version: 2.1.3 19.93/3.45 % (954642)Termination reason: Instruction limit 19.93/3.45 % (954642)Termination phase: Saturation 19.93/3.45 % (954642)Time elapsed: 0.136 s 19.93/3.45 % (954642)Peak memory usage: 15 MB 19.93/3.45 % (954642)Instructions burned: 314 (million) 19.93/3.45 % (954640)Instruction limit reached! 19.93/3.45 % (954640)------------------------------ 19.93/3.45 % (954640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.93/3.45 % (954640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.93/3.45 % (954640)CaDiCaL version: 2.1.3 19.93/3.45 % (954640)Termination reason: Instruction limit 19.93/3.45 % (954640)Termination phase: Saturation 19.93/3.45 % (954640)Time elapsed: 0.180 s 19.93/3.45 % (954640)Peak memory usage: 15 MB 19.93/3.45 % (954640)Instructions burned: 357 (million) 19.93/3.45 % (954648)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=166397677:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_1776 on theBenchmark for (1776ds/673Mi) 19.93/3.45 % (954649)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3020488488:i=116:ep=RSTC:rtra=on:ntd=on_1776 on theBenchmark for (1776ds/116Mi) 19.93/3.45 % (954649)Instruction limit reached! 19.93/3.45 % (954649)------------------------------ 19.93/3.45 % (954649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.93/3.45 % (954649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.93/3.45 % (954649)CaDiCaL version: 2.1.3 19.93/3.45 % (954649)Termination reason: Instruction limit 19.93/3.45 % (954649)Termination phase: Property scanning 19.93/3.45 % (954649)Time elapsed: 0.053 s 19.93/3.45 % (954649)Peak memory usage: 13 MB 19.93/3.45 % (954649)Instructions burned: 118 (million) 19.93/3.45 % (954636)Instruction limit reached! 19.93/3.45 % (954636)------------------------------ 19.93/3.45 % (954636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.93/3.45 % (954636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.93/3.45 % (954636)CaDiCaL version: 2.1.3 19.93/3.45 % (954636)Termination reason: Instruction limit 19.93/3.45 % (954636)Termination phase: Saturation 19.93/3.45 % (954636)Time elapsed: 0.336 s 19.93/3.45 % (954636)Peak memory usage: 24 MB 19.93/3.45 % (954636)Instructions burned: 806 (million) 19.93/3.45 % (954652)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=503537026:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_1776 on theBenchmark for (1776ds/270Mi) 19.93/3.45 % (954653)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3666129048:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1776 on theBenchmark for (1776ds/30Mi) 19.93/3.45 % (954653)Instruction limit reached! 19.93/3.45 % (954653)------------------------------ 19.93/3.45 % (954653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 19.93/3.45 % (954653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 19.93/3.45 % (954653)CaDiCaL version: 2.1.3 19.93/3.45 % (954653)Termination reason: Instruction limit 19.93/3.45 % (954653)Termination phase: shuffling 19.93/3.45 % (954653)Time elapsed: 0.013 s 19.93/3.45 % (954653)Peak memory usage: 10 MB 19.93/3.45 % (954653)Instructions burned: 31 (million) 19.93/3.45 % (954656)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off 19.93/3.45 % (954656)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=170857401:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_1775 on theBenchmark for (1775ds/39Mi) 19.93/3.45 % (954656)Instruction limit reached! 21.59/3.62 % (954656)------------------------------ 21.59/3.62 % (954656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.59/3.62 % (954656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.59/3.62 % (954656)CaDiCaL version: 2.1.3 21.59/3.62 % (954656)Termination reason: Instruction limit 21.59/3.62 % (954656)Termination phase: shuffling 21.59/3.62 % (954656)Time elapsed: 0.018 s 21.59/3.62 % (954656)Peak memory usage: 11 MB 21.59/3.62 % (954656)Instructions burned: 41 (million) 21.59/3.62 % (954658)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3782853131:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1775 on theBenchmark for (1775ds/365Mi) 21.59/3.62 % (954652)Instruction limit reached! 21.59/3.62 % (954652)------------------------------ 21.59/3.62 % (954652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.59/3.62 % (954652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.59/3.62 % (954652)CaDiCaL version: 2.1.3 21.59/3.62 % (954652)Termination reason: Instruction limit 21.59/3.62 % (954652)Termination phase: Saturation 21.59/3.62 % (954652)Time elapsed: 0.112 s 21.59/3.62 % (954652)Peak memory usage: 15 MB 21.59/3.62 % (954652)Instructions burned: 271 (million) 21.59/3.62 % (954660)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3399229624:i=158:av=off:rtra=on_1774 on theBenchmark for (1774ds/158Mi) 21.59/3.62 % (954660)Instruction limit reached! 21.59/3.62 % (954660)------------------------------ 21.59/3.62 % (954660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.59/3.62 % (954660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.59/3.62 % (954660)CaDiCaL version: 2.1.3 21.59/3.62 % (954660)Termination reason: Instruction limit 21.59/3.62 % (954660)Termination phase: Property scanning 21.59/3.62 % (954660)Time elapsed: 0.071 s 21.59/3.62 % (954660)Peak memory usage: 14 MB 21.59/3.62 % (954660)Instructions burned: 159 (million) 21.59/3.62 % (954648)Instruction limit reached! 21.59/3.62 % (954648)------------------------------ 21.59/3.62 % (954648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.59/3.62 % (954648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.59/3.62 % (954648)CaDiCaL version: 2.1.3 21.59/3.62 % (954648)Termination reason: Instruction limit 21.59/3.62 % (954648)Termination phase: Saturation 21.59/3.62 % (954648)Time elapsed: 0.308 s 21.59/3.62 % (954648)Peak memory usage: 16 MB 21.59/3.62 % (954648)Instructions burned: 673 (million) 21.59/3.62 % (954662)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 21.59/3.62 % (954662)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1604013944:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_1773 on theBenchmark for (1773ds/252Mi) 21.59/3.62 % (954658)Instruction limit reached! 21.59/3.62 % (954658)------------------------------ 21.59/3.62 % (954658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.59/3.62 % (954658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.59/3.62 % (954658)CaDiCaL version: 2.1.3 21.59/3.62 % (954658)Termination reason: Instruction limit 21.59/3.62 % (954658)Termination phase: Saturation 21.59/3.62 % (954658)Time elapsed: 0.154 s 21.59/3.62 % (954658)Peak memory usage: 17 MB 21.59/3.62 % (954658)Instructions burned: 366 (million) 21.59/3.62 % (954663)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=71722276:i=213:rtra=on:ss=axioms_1773 on theBenchmark for (1773ds/213Mi) 21.59/3.62 % (954665)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=2459930042:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_1773 on theBenchmark for (1773ds/160Mi) 21.59/3.62 % (954665)Instruction limit reached! 21.59/3.62 % (954665)------------------------------ 21.59/3.62 % (954665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 21.59/3.62 % (954665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.59/3.62 % (954665)CaDiCaL version: 2.1.3 21.59/3.62 % (954665)Termination reason: Instruction limit 21.59/3.62 % (954665)Termination phase: Function definition elimination 21.59/3.62 % (954665)Time elapsed: 0.067 s 22.11/3.78 % (954665)Peak memory usage: 12 MB 22.11/3.78 % (954665)Instructions burned: 162 (million) 22.11/3.78 % (954663)Instruction limit reached! 22.11/3.78 % (954663)------------------------------ 22.11/3.78 % (954663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 22.11/3.78 % (954663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 22.11/3.78 % (954663)CaDiCaL version: 2.1.3 22.11/3.78 % (954663)Termination reason: Instruction limit 22.11/3.78 % (954663)Termination phase: Saturation 22.11/3.78 % (954663)Time elapsed: 0.088 s 22.11/3.78 % (954663)Peak memory usage: 14 MB 22.11/3.78 % (954663)Instructions burned: 214 (million) 22.11/3.78 % (954662)Instruction limit reached! 22.11/3.78 % (954662)------------------------------ 22.11/3.78 % (954662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 22.11/3.78 % (954662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 22.11/3.78 % (954662)CaDiCaL version: 2.1.3 22.11/3.78 % (954662)Termination reason: Instruction limit 22.11/3.78 % (954662)Termination phase: Saturation 22.11/3.78 % (954662)Time elapsed: 0.107 s 22.11/3.78 % (954662)Peak memory usage: 15 MB 22.11/3.78 % (954662)Instructions burned: 254 (million) 22.11/3.78 % (954668)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1066227668:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_1772 on theBenchmark for (1772ds/763Mi) 22.11/3.78 % (954669)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on 22.11/3.78 % (954669)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2528665858:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_1772 on theBenchmark for (1772ds/237Mi) 22.11/3.78 % (954670)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=4001780724:s2a=on:i=386:rtra=on:ntd=on_1772 on theBenchmark for (1772ds/386Mi) 22.11/3.78 % (954669)Instruction limit reached! 22.11/3.78 % (954669)------------------------------ 22.11/3.78 % (954669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 22.11/3.78 % (954669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 22.11/3.78 % (954669)CaDiCaL version: 2.1.3 22.11/3.78 % (954669)Termination reason: Instruction limit 22.11/3.78 % (954669)Termination phase: Saturation 22.11/3.78 % (954669)Time elapsed: 0.101 s 22.11/3.78 % (954669)Peak memory usage: 14 MB 22.11/3.78 % (954669)Instructions burned: 237 (million) 22.11/3.78 % (954674)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1537409253:i=300:piset=and:nm=32:rtra=on_1771 on theBenchmark for (1771ds/300Mi) 22.11/3.78 % (954646)Instruction limit reached! 22.11/3.78 % (954646)------------------------------ 22.11/3.78 % (954646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 22.11/3.78 % (954646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 22.11/3.78 % (954646)CaDiCaL version: 2.1.3 22.11/3.78 % (954646)Termination reason: Instruction limit 22.11/3.78 % (954646)Termination phase: Saturation 22.11/3.78 % (954646)Time elapsed: 0.615 s 22.11/3.78 % (954646)Peak memory usage: 23 MB 22.11/3.78 % (954646)Instructions burned: 2473 (million) 22.11/3.78 % (954676)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=404704018:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_1771 on theBenchmark for (1771ds/567Mi) 22.11/3.78 % (954670)Instruction limit reached! 22.11/3.78 % (954670)------------------------------ 22.11/3.78 % (954670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 22.11/3.78 % (954670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 22.11/3.78 % (954670)CaDiCaL version: 2.1.3 22.11/3.78 % (954670)Termination reason: Instruction limit 22.11/3.78 % (954670)Termination phase: Saturation 22.11/3.78 % (954670)Time elapsed: 0.172 s 22.11/3.78 % (954670)Peak memory usage: 14 MB 22.11/3.78 % (954670)Instructions burned: 386 (million) 22.11/3.78 % (954678)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3255654972:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_1770 on theBenchmark for (1770ds/379Mi) 22.11/3.78 % (954674)Instruction limit reached! 22.11/3.78 % (954674)------------------------------ 22.11/3.78 % (954674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.39/3.95 % (954674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.39/3.95 % (954674)CaDiCaL version: 2.1.3 23.39/3.95 % (954674)Termination reason: Instruction limit 23.39/3.95 % (954674)Termination phase: Saturation 23.39/3.95 % (954674)Time elapsed: 0.132 s 23.39/3.95 % (954674)Peak memory usage: 15 MB 23.39/3.95 % (954674)Instructions burned: 301 (million) 23.39/3.95 % (954676)Instruction limit reached! 23.39/3.95 % (954676)------------------------------ 23.39/3.95 % (954676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.39/3.95 % (954676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.39/3.95 % (954676)CaDiCaL version: 2.1.3 23.39/3.95 % (954676)Termination reason: Instruction limit 23.39/3.95 % (954676)Termination phase: Saturation 23.39/3.95 % (954676)Time elapsed: 0.117 s 23.39/3.95 % (954676)Peak memory usage: 15 MB 23.39/3.95 % (954676)Instructions burned: 569 (million) 23.39/3.95 % (954681)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2670281653:i=478:bd=all:rtra=on_1769 on theBenchmark for (1769ds/478Mi) 23.39/3.95 % (954680)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1530848975:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_1769 on theBenchmark for (1769ds/429Mi) 23.39/3.95 % (954678)Instruction limit reached! 23.39/3.95 % (954678)------------------------------ 23.39/3.95 % (954678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.39/3.95 % (954678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.39/3.95 % (954678)CaDiCaL version: 2.1.3 23.39/3.95 % (954678)Termination reason: Instruction limit 23.39/3.95 % (954678)Termination phase: Saturation 23.39/3.95 % (954678)Time elapsed: 0.173 s 23.39/3.95 % (954678)Peak memory usage: 16 MB 23.39/3.95 % (954678)Instructions burned: 380 (million) 23.39/3.95 % (954681)Instruction limit reached! 23.39/3.95 % (954681)------------------------------ 23.39/3.95 % (954681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.39/3.95 % (954681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.39/3.95 % (954681)CaDiCaL version: 2.1.3 23.39/3.95 % (954681)Termination reason: Instruction limit 23.39/3.95 % (954681)Termination phase: Saturation 23.39/3.95 % (954681)Time elapsed: 0.125 s 23.39/3.95 % (954681)Peak memory usage: 18 MB 23.39/3.95 % (954681)Instructions burned: 478 (million) 23.39/3.95 % (954668)Instruction limit reached! 23.39/3.95 % (954668)------------------------------ 23.39/3.95 % (954668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.39/3.95 % (954668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.39/3.95 % (954668)CaDiCaL version: 2.1.3 23.39/3.95 % (954668)Termination reason: Instruction limit 23.39/3.95 % (954668)Termination phase: Saturation 23.39/3.95 % (954668)Time elapsed: 0.403 s 23.39/3.95 % (954668)Peak memory usage: 20 MB 23.39/3.95 % (954668)Instructions burned: 765 (million) 23.39/3.95 % (954684)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3085563539:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1768 on theBenchmark for (1768ds/445Mi) 23.39/3.95 % (954631)Instruction limit reached! 23.39/3.95 % (954631)------------------------------ 23.39/3.95 % (954631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.39/3.95 % (954631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.39/3.95 % (954631)CaDiCaL version: 2.1.3 23.39/3.95 % (954631)Termination reason: Instruction limit 23.39/3.95 % (954631)Termination phase: Saturation 23.39/3.95 % (954631)Time elapsed: 1.197 s 23.39/3.95 % (954631)Peak memory usage: 24 MB 23.39/3.95 % (954631)Instructions burned: 2187 (million) 23.39/3.95 % (954685)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3604167785:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_1768 on theBenchmark for (1768ds/71Mi) 23.39/3.95 % (954687)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=829923150:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_1768 on theBenchmark for (1768ds/302Mi) 23.39/3.95 % (954685)Instruction limit reached! 23.39/3.95 % (954685)------------------------------ 23.39/3.95 % (954685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 23.39/3.95 % (954685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 23.39/3.95 % (954685)CaDiCaL version: 2.1.3 24.83/4.12 % (954685)Termination reason: Instruction limit 24.83/4.12 % (954685)Termination phase: Property scanning 24.83/4.12 % (954685)Time elapsed: 0.016 s 24.83/4.12 % (954685)Peak memory usage: 11 MB 24.83/4.12 % (954685)Instructions burned: 74 (million) 24.83/4.12 % (954689)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3941268818:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_1768 on theBenchmark for (1768ds/4980Mi) 24.83/4.12 % (954691)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 24.83/4.12 % (954691)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 24.83/4.12 % (954691)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2902882803:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1768 on theBenchmark for (1768ds/100Mi) 24.83/4.12 % (954691)Instruction limit reached! 24.83/4.12 % (954691)------------------------------ 24.83/4.12 % (954691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 24.83/4.12 % (954691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 24.83/4.12 % (954691)CaDiCaL version: 2.1.3 24.83/4.12 % (954691)Termination reason: Instruction limit 24.83/4.12 % (954691)Termination phase: Property scanning 24.83/4.12 % (954691)Time elapsed: 0.022 s 24.83/4.12 % (954691)Peak memory usage: 11 MB 24.83/4.12 % (954691)Instructions burned: 104 (million) 24.83/4.12 % (954694)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1164146976:i=76:piset=equals:rtra=on:ntd=on_1767 on theBenchmark for (1767ds/76Mi) 24.83/4.12 % (954680)Instruction limit reached! 24.83/4.12 % (954680)------------------------------ 24.83/4.12 % (954680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 24.83/4.12 % (954680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 24.83/4.12 % (954680)CaDiCaL version: 2.1.3 24.83/4.12 % (954680)Termination reason: Instruction limit 24.83/4.12 % (954680)Termination phase: Saturation 24.83/4.12 % (954680)Time elapsed: 0.197 s 24.83/4.12 % (954680)Peak memory usage: 16 MB 24.83/4.12 % (954680)Instructions burned: 429 (million) 24.83/4.12 % (954694)Instruction limit reached! 24.83/4.12 % (954694)------------------------------ 24.83/4.12 % (954694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 24.83/4.12 % (954694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 24.83/4.12 % (954694)CaDiCaL version: 2.1.3 24.83/4.12 % (954694)Termination reason: Instruction limit 24.83/4.12 % (954694)Termination phase: Preprocessing 2 24.83/4.12 % (954694)Time elapsed: 0.017 s 24.83/4.12 % (954694)Peak memory usage: 11 MB 24.83/4.12 % (954694)Instructions burned: 79 (million) 24.83/4.12 % (954696)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2457798877:i=289:rtra=on_1767 on theBenchmark for (1767ds/289Mi) 24.83/4.12 % (954697)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=3871628385:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_1767 on theBenchmark for (1767ds/493Mi) 24.83/4.12 % (954687)Instruction limit reached! 24.83/4.12 % (954687)------------------------------ 24.83/4.12 % (954687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 24.83/4.12 % (954687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 24.83/4.12 % (954687)CaDiCaL version: 2.1.3 24.83/4.12 % (954687)Termination reason: Instruction limit 24.83/4.12 % (954687)Termination phase: Saturation 24.83/4.12 % (954687)Time elapsed: 0.132 s 24.83/4.12 % (954687)Peak memory usage: 16 MB 24.83/4.12 % (954687)Instructions burned: 303 (million) 24.83/4.12 % (954700)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1943922576:cond=on:i=34:hud=10:nm=10:rtra=on_1766 on theBenchmark for (1766ds/34Mi) 24.83/4.12 % (954700)Instruction limit reached! 24.83/4.12 % (954700)------------------------------ 24.83/4.12 % (954700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 24.83/4.12 % (954700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.04/4.37 % (954700)CaDiCaL version: 2.1.3 26.04/4.37 % (954700)Termination reason: Instruction limit 26.04/4.37 % (954700)Termination phase: shuffling 26.04/4.37 % (954700)Time elapsed: 0.016 s 26.04/4.37 % (954700)Peak memory usage: 11 MB 26.04/4.37 % (954700)Instructions burned: 36 (million) 26.04/4.37 % (954697)Instruction limit reached! 26.04/4.37 % (954697)------------------------------ 26.04/4.37 % (954697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.04/4.37 % (954697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.04/4.37 % (954697)CaDiCaL version: 2.1.3 26.04/4.37 % (954697)Termination reason: Instruction limit 26.04/4.37 % (954697)Termination phase: Saturation 26.04/4.37 % (954697)Time elapsed: 0.106 s 26.04/4.37 % (954697)Peak memory usage: 15 MB 26.04/4.37 % (954697)Instructions burned: 495 (million) 26.04/4.37 % (954702)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 26.04/4.37 % (954689)Refutation not found, incomplete strategy 26.04/4.37 % (954689)------------------------------ 26.04/4.37 % (954689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.04/4.37 % (954689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.04/4.37 % (954689)CaDiCaL version: 2.1.3 26.04/4.37 % (954689)Termination reason: Refutation not found, incomplete strategy 26.04/4.37 % (954689)Time elapsed: 0.175 s 26.04/4.37 % (954689)Peak memory usage: 16 MB 26.04/4.37 % (954689)Instructions burned: 324 (million) 26.04/4.37 % (954684)Instruction limit reached! 26.04/4.37 % (954684)------------------------------ 26.04/4.37 % (954684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.04/4.37 % (954684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.04/4.37 % (954684)CaDiCaL version: 2.1.3 26.04/4.37 % (954684)Termination reason: Instruction limit 26.04/4.37 % (954684)Termination phase: Saturation 26.04/4.37 % (954684)Time elapsed: 0.206 s 26.04/4.37 % (954684)Peak memory usage: 16 MB 26.04/4.37 % (954684)Instructions burned: 445 (million) 26.04/4.37 % (954696)Refutation not found, incomplete strategy 26.04/4.37 % (954696)------------------------------ 26.04/4.37 % (954696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.04/4.37 % (954696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.04/4.37 % (954696)CaDiCaL version: 2.1.3 26.04/4.37 % (954696)Termination reason: Refutation not found, incomplete strategy 26.04/4.37 % (954696)Time elapsed: 0.111 s 26.04/4.37 % (954696)Peak memory usage: 15 MB 26.04/4.37 % (954696)Instructions burned: 251 (million) 26.04/4.37 % (954689)------------------------------ 26.04/4.37 % (954689)------------------------------ 26.04/4.37 % (954696)------------------------------ 26.04/4.37 % (954696)------------------------------ 26.04/4.37 % (954702)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=1980424048:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_1766 on theBenchmark for (1766ds/372Mi) 26.04/4.37 % (954703)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2347748925:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_1766 on theBenchmark for (1766ds/670Mi) 26.04/4.37 % (954704)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2139927203:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1766 on theBenchmark for (1766ds/647Mi) 26.04/4.37 % (954706)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=1723210224:i=857:add=off:kws=frequency:rtra=on:ntd=on_1766 on theBenchmark for (1766ds/857Mi) 26.04/4.37 % (954707)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=553789991:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_1766 on theBenchmark for (1766ds/693Mi) 26.04/4.37 % (954702)Instruction limit reached! 26.04/4.37 % (954702)------------------------------ 26.04/4.37 % (954702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.04/4.37 % (954702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.04/4.37 % (954702)CaDiCaL version: 2.1.3 26.96/4.55 % (954702)Termination reason: Instruction limit 26.96/4.55 % (954702)Termination phase: Saturation 26.96/4.55 % (954702)Time elapsed: 0.150 s 26.96/4.55 % (954702)Peak memory usage: 15 MB 26.96/4.55 % (954702)Instructions burned: 374 (million) 26.96/4.55 % (954712)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1220361132:i=285:hud=10:bd=all:rtra=on:ss=axioms_1764 on theBenchmark for (1764ds/285Mi) 26.96/4.55 % (954703)Instruction limit reached! 26.96/4.55 % (954703)------------------------------ 26.96/4.55 % (954703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.96/4.55 % (954703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.96/4.55 % (954703)CaDiCaL version: 2.1.3 26.96/4.55 % (954703)Termination reason: Instruction limit 26.96/4.55 % (954703)Termination phase: Saturation 26.96/4.55 % (954703)Time elapsed: 0.165 s 26.96/4.55 % (954703)Peak memory usage: 23 MB 26.96/4.55 % (954703)Instructions burned: 674 (million) 26.96/4.55 % (954714)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on 26.96/4.55 % (954714)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=1723069633:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_1764 on theBenchmark for (1764ds/52Mi) 26.96/4.55 % (954714)Instruction limit reached! 26.96/4.55 % (954714)------------------------------ 26.96/4.55 % (954714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.96/4.55 % (954714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.96/4.55 % (954714)CaDiCaL version: 2.1.3 26.96/4.55 % (954714)Termination reason: Instruction limit 26.96/4.55 % (954714)Termination phase: Property scanning 26.96/4.55 % (954714)Time elapsed: 0.013 s 26.96/4.55 % (954714)Peak memory usage: 11 MB 26.96/4.55 % (954714)Instructions burned: 56 (million) 26.96/4.55 % (954706)Refutation not found, incomplete strategy 26.96/4.55 % (954706)------------------------------ 26.96/4.55 % (954706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.96/4.55 % (954706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.96/4.55 % (954706)CaDiCaL version: 2.1.3 26.96/4.55 % (954706)Termination reason: Refutation not found, incomplete strategy 26.96/4.55 % (954706)Time elapsed: 0.187 s 26.96/4.55 % (954706)Peak memory usage: 15 MB 26.96/4.55 % (954706)Instructions burned: 452 (million) 26.96/4.55 % (954706)------------------------------ 26.96/4.55 % (954706)------------------------------ 26.96/4.55 % (954716)dis+10_1_si=on:random_seed=4157670106:i=407:sd=4:rtra=on:ss=axioms:sgt=20_1764 on theBenchmark for (1764ds/407Mi) 26.96/4.55 % (954717)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=947278605:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_1764 on theBenchmark for (1764ds/2240Mi) 26.96/4.55 % (954712)Instruction limit reached! 26.96/4.55 % (954712)------------------------------ 26.96/4.55 % (954712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.96/4.55 % (954712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.96/4.55 % (954712)CaDiCaL version: 2.1.3 26.96/4.55 % (954712)Termination reason: Instruction limit 26.96/4.55 % (954712)Termination phase: Saturation 26.96/4.55 % (954712)Time elapsed: 0.126 s 26.96/4.55 % (954712)Peak memory usage: 18 MB 26.96/4.55 % (954712)Instructions burned: 286 (million) 26.96/4.55 % (954716)Instruction limit reached! 26.96/4.55 % (954716)------------------------------ 26.96/4.55 % (954716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 26.96/4.55 % (954716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 26.96/4.55 % (954716)CaDiCaL version: 2.1.3 26.96/4.55 % (954716)Termination reason: Instruction limit 26.96/4.55 % (954716)Termination phase: Saturation 26.96/4.55 % (954716)Time elapsed: 0.101 s 26.96/4.55 % (954716)Peak memory usage: 16 MB 26.96/4.55 % (954716)Instructions burned: 410 (million) 26.96/4.55 % (954720)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2030261764:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_1763 on theBenchmark for (1763ds/336Mi) 26.96/4.55 % (954721)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=543125707:s2a=on:i=1142:s2at=3:bd=all:rtra=on_1763 on theBenchmark for (1763ds/1142Mi) 28.14/4.80 % (954704)Instruction limit reached! 28.14/4.80 % (954704)------------------------------ 28.14/4.80 % (954704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.14/4.80 % (954704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.14/4.80 % (954704)CaDiCaL version: 2.1.3 28.14/4.80 % (954704)Termination reason: Instruction limit 28.14/4.80 % (954704)Termination phase: Saturation 28.14/4.80 % (954704)Time elapsed: 0.323 s 28.14/4.80 % (954704)Peak memory usage: 21 MB 28.14/4.80 % (954704)Instructions burned: 648 (million) 28.14/4.80 % (954724)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=910651897:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_1762 on theBenchmark for (1762ds/376Mi) 28.14/4.80 % (954707)Instruction limit reached! 28.14/4.80 % (954707)------------------------------ 28.14/4.80 % (954707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.14/4.80 % (954707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.14/4.80 % (954707)CaDiCaL version: 2.1.3 28.14/4.80 % (954707)Termination reason: Instruction limit 28.14/4.80 % (954707)Termination phase: Saturation 28.14/4.80 % (954707)Time elapsed: 0.360 s 28.14/4.80 % (954707)Peak memory usage: 21 MB 28.14/4.80 % (954707)Instructions burned: 695 (million) 28.14/4.80 % (954721)Refutation not found, incomplete strategy 28.14/4.80 % (954721)------------------------------ 28.14/4.80 % (954721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.14/4.80 % (954721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.14/4.80 % (954721)CaDiCaL version: 2.1.3 28.14/4.80 % (954721)Termination reason: Refutation not found, incomplete strategy 28.14/4.80 % (954721)Time elapsed: 0.076 s 28.14/4.80 % (954721)Peak memory usage: 17 MB 28.14/4.80 % (954721)Instructions burned: 311 (million) 28.14/4.80 % (954721)------------------------------ 28.14/4.80 % (954721)------------------------------ 28.14/4.80 % (954726)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2577784138:i=766:bd=all:rtra=on_1762 on theBenchmark for (1762ds/766Mi) 28.14/4.80 % (954727)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on 28.14/4.80 % (954727)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1813151508:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_1762 on theBenchmark for (1762ds/959Mi) 28.14/4.80 % (954720)Instruction limit reached! 28.14/4.80 % (954720)------------------------------ 28.14/4.80 % (954720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.14/4.80 % (954720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.14/4.80 % (954720)CaDiCaL version: 2.1.3 28.14/4.80 % (954720)Termination reason: Instruction limit 28.14/4.80 % (954720)Termination phase: Saturation 28.14/4.80 % (954720)Time elapsed: 0.159 s 28.14/4.80 % (954720)Peak memory usage: 17 MB 28.14/4.80 % (954720)Instructions burned: 336 (million) 28.14/4.80 % (954730)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=1844854501:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_1761 on theBenchmark for (1761ds/6359Mi) 28.14/4.80 % (954724)Instruction limit reached! 28.14/4.80 % (954724)------------------------------ 28.14/4.80 % (954724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.14/4.80 % (954724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 28.14/4.80 % (954724)CaDiCaL version: 2.1.3 28.14/4.80 % (954724)Termination reason: Instruction limit 28.14/4.80 % (954724)Termination phase: Saturation 28.14/4.80 % (954724)Time elapsed: 0.173 s 28.14/4.80 % (954724)Peak memory usage: 16 MB 28.14/4.80 % (954724)Instructions burned: 376 (million) 28.14/4.80 % (954732)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4145086369:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_1760 on theBenchmark for (1760ds/35Mi) 28.14/4.80 % (954732)Instruction limit reached! 28.14/4.80 % (954732)------------------------------ 28.14/4.80 % (954732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 28.14/4.80 % (954732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 29.21/4.94 % (954732)CaDiCaL version: 2.1.3 29.21/4.94 % (954732)Termination reason: Instruction limit 29.21/4.94 % (954732)Termination phase: shuffling 29.21/4.94 % (954732)Time elapsed: 0.016 s 29.21/4.94 % (954732)Peak memory usage: 11 MB 29.21/4.94 % (954732)Instructions burned: 37 (million) 29.21/4.94 % (954734)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3853024119:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_1760 on theBenchmark for (1760ds/53Mi) 29.21/4.94 % (954734)Instruction limit reached! 29.21/4.94 % (954734)------------------------------ 29.21/4.94 % (954734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 29.21/4.94 % (954734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 29.21/4.94 % (954734)CaDiCaL version: 2.1.3 29.21/4.94 % (954734)Termination reason: Instruction limit 29.21/4.94 % (954734)Termination phase: Property scanning 29.21/4.94 % (954734)Time elapsed: 0.023 s 29.21/4.94 % (954734)Peak memory usage: 11 MB 29.21/4.94 % (954734)Instructions burned: 54 (million) 29.21/4.94 % (954736)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=4079200095:s2a=on:i=876:s2at=6:nm=2:rtra=on_1760 on theBenchmark for (1760ds/876Mi) 29.21/4.94 % (954548)Instruction limit reached! 29.21/4.94 % (954548)------------------------------ 29.21/4.94 % (954548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 29.21/4.94 % (954548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 29.21/4.94 % (954548)CaDiCaL version: 2.1.3 29.21/4.94 % (954548)Termination reason: Instruction limit 29.21/4.94 % (954548)Termination phase: Saturation 29.21/4.94 % (954548)Time elapsed: 3.098 s 29.21/4.94 % (954548)Peak memory usage: 51 MB 29.21/4.94 % (954548)Instructions burned: 5757 (million) 29.21/4.94 % (954727)Instruction limit reached! 29.21/4.94 % (954727)------------------------------ 29.21/4.94 % (954727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 29.21/4.94 % (954727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 29.21/4.94 % (954727)CaDiCaL version: 2.1.3 29.21/4.94 % (954727)Termination reason: Instruction limit 29.21/4.94 % (954727)Termination phase: Saturation 29.21/4.94 % (954727)Time elapsed: 0.245 s 29.21/4.94 % (954727)Peak memory usage: 18 MB 29.21/4.94 % (954727)Instructions burned: 963 (million) 29.21/4.94 % (954739)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 29.21/4.94 % (954739)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1964499343:i=306:bd=all:rtra=on_1759 on theBenchmark for (1759ds/306Mi) 29.21/4.94 % (954738)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3011504209:i=57:ep=R:rtra=on:ntd=on_1759 on theBenchmark for (1759ds/57Mi) 29.21/4.94 % (954738)Instruction limit reached! 29.21/4.94 % (954738)------------------------------ 29.21/4.94 % (954738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 29.21/4.94 % (954738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 29.21/4.94 % (954738)CaDiCaL version: 2.1.3 29.21/4.94 % (954738)Termination reason: Instruction limit 29.21/4.94 % (954738)Termination phase: Property scanning 29.21/4.94 % (954738)Time elapsed: 0.025 s 29.21/4.94 % (954738)Peak memory usage: 11 MB 29.21/4.94 % (954738)Instructions burned: 58 (million) 29.21/4.94 % (954742)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=943143590:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_1759 on theBenchmark for (1759ds/262Mi) 29.21/4.94 % (954739)Instruction limit reached! 29.21/4.94 % (954739)------------------------------ 29.21/4.94 % (954739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 29.21/4.94 % (954739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 29.21/4.94 % (954739)CaDiCaL version: 2.1.3 29.21/4.94 % (954739)Termination reason: Instruction limit 29.21/4.94 % (954739)Termination phase: Saturation 29.21/4.94 % (954739)Time elapsed: 0.071 s 29.21/4.94 % (954739)Peak memory usage: 16 MB 29.21/4.94 % (954739)Instructions burned: 308 (million) 29.21/4.94 % (954744)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on 29.21/4.94 % (954744)ott+1002_16_sil=128000:si=on:random_seed=2077773182:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_1758 on theBenchmark for (1758ds/409Mi) 31.97/5.08 % (954726)Instruction limit reached! 31.97/5.08 % (954726)------------------------------ 31.97/5.08 % (954726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 31.97/5.08 % (954726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 31.97/5.08 % (954726)CaDiCaL version: 2.1.3 31.97/5.08 % (954726)Termination reason: Instruction limit 31.97/5.08 % (954726)Termination phase: Saturation 31.97/5.08 % (954726)Time elapsed: 0.370 s 31.97/5.08 % (954726)Peak memory usage: 18 MB 31.97/5.08 % (954726)Instructions burned: 767 (million) 31.97/5.08 % (954746)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=814536348:s2a=on:i=381:rtra=on_1758 on theBenchmark for (1758ds/381Mi) 31.97/5.08 % (954742)Instruction limit reached! 31.97/5.08 % (954742)------------------------------ 31.97/5.08 % (954742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 31.97/5.08 % (954742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 31.97/5.08 % (954742)CaDiCaL version: 2.1.3 31.97/5.08 % (954742)Termination reason: Instruction limit 31.97/5.08 % (954742)Termination phase: Saturation 31.97/5.08 % (954742)Time elapsed: 0.111 s 31.97/5.08 % (954742)Peak memory usage: 15 MB 31.97/5.08 % (954742)Instructions burned: 262 (million) 31.97/5.08 % (954744)Instruction limit reached! 31.97/5.08 % (954744)------------------------------ 31.97/5.08 % (954744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 31.97/5.08 % (954744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 31.97/5.08 % (954744)CaDiCaL version: 2.1.3 31.97/5.08 % (954744)Termination reason: Instruction limit 31.97/5.08 % (954744)Termination phase: Saturation 31.97/5.08 % (954744)Time elapsed: 0.096 s 31.97/5.08 % (954744)Peak memory usage: 16 MB 31.97/5.08 % (954744)Instructions burned: 410 (million) 31.97/5.08 % (954748)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1181555424:cond=on:i=324:rtra=on:ntd=on_1758 on theBenchmark for (1758ds/324Mi) 31.97/5.08 % (954749)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=380629543:i=240:kws=inv_precedence:rtra=on_1757 on theBenchmark for (1757ds/240Mi) 31.97/5.08 % (954749)Instruction limit reached! 31.97/5.08 % (954749)------------------------------ 31.97/5.08 % (954749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 31.97/5.08 % (954749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 31.97/5.08 % (954749)CaDiCaL version: 2.1.3 31.97/5.08 % (954749)Termination reason: Instruction limit 31.97/5.08 % (954749)Termination phase: Saturation 31.97/5.08 % (954749)Time elapsed: 0.057 s 31.97/5.08 % (954749)Peak memory usage: 15 MB 31.97/5.08 % (954749)Instructions burned: 242 (million) 31.97/5.08 % (954752)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 31.97/5.08 % (954752)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4278818533:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_1757 on theBenchmark for (1757ds/124Mi) 31.97/5.08 % (954752)Instruction limit reached! 31.97/5.08 % (954752)------------------------------ 31.97/5.08 % (954752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 31.97/5.08 % (954752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 31.97/5.08 % (954752)CaDiCaL version: 2.1.3 31.97/5.08 % (954752)Termination reason: Instruction limit 31.97/5.08 % (954752)Termination phase: Property scanning 31.97/5.08 % (954752)Time elapsed: 0.028 s 31.97/5.08 % (954752)Peak memory usage: 12 MB 31.97/5.08 % (954752)Instructions burned: 129 (million) 31.97/5.08 % (954754)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1678008222:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_1756 on theBenchmark for (1756ds/223Mi) 31.97/5.08 % (954746)Instruction limit reached! 31.97/5.08 % (954746)------------------------------ 31.97/5.08 % (954746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 31.97/5.08 % (954746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 31.97/5.08 % (954746)CaDiCaL version: 2.1.3 31.97/5.08 % (954746)Termination reason: Instruction limit 31.97/5.08 % (954746)Termination phase: Saturation 31.97/5.08 % (954746)Time elapsed: 0.202 s 31.97/5.08 % (954746)Peak memory usage: 16 MB 31.97/5.08 % (954746)Instructions burned: 381 (million) 31.97/5.08 % (954748)Instruction limit reached! 33.29/5.34 % (954748)------------------------------ 33.29/5.34 % (954748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 33.29/5.34 % (954748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 33.29/5.34 % (954748)CaDiCaL version: 2.1.3 33.29/5.34 % (954748)Termination reason: Instruction limit 33.29/5.34 % (954748)Termination phase: Saturation 33.29/5.34 % (954748)Time elapsed: 0.150 s 33.29/5.34 % (954748)Peak memory usage: 18 MB 33.29/5.34 % (954748)Instructions burned: 325 (million) 33.29/5.34 % (954756)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=766623399:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_1756 on theBenchmark for (1756ds/282Mi) 33.29/5.34 % (954754)Instruction limit reached! 33.29/5.34 % (954754)------------------------------ 33.29/5.34 % (954754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 33.29/5.34 % (954754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 33.29/5.34 % (954754)CaDiCaL version: 2.1.3 33.29/5.34 % (954754)Termination reason: Instruction limit 33.29/5.34 % (954754)Termination phase: Saturation 33.29/5.34 % (954754)Time elapsed: 0.052 s 33.29/5.34 % (954754)Peak memory usage: 15 MB 33.29/5.34 % (954754)Instructions burned: 224 (million) 33.29/5.34 % (954757)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2013373272:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_1756 on theBenchmark for (1756ds/464Mi) 33.29/5.34 % (954759)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2853018982:i=88:s2at=3:nm=2:rtra=on:rawr=on_1756 on theBenchmark for (1756ds/88Mi) 33.29/5.34 % (954759)Instruction limit reached! 33.29/5.34 % (954759)------------------------------ 33.29/5.34 % (954759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 33.29/5.34 % (954759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 33.29/5.34 % (954759)CaDiCaL version: 2.1.3 33.29/5.34 % (954759)Termination reason: Instruction limit 33.29/5.34 % (954759)Termination phase: SInE selection 33.29/5.34 % (954759)Time elapsed: 0.020 s 33.29/5.34 % (954759)Peak memory usage: 11 MB 33.29/5.34 % (954759)Instructions burned: 91 (million) 33.29/5.34 % (954762)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2239072891:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_1755 on theBenchmark for (1755ds/280Mi) 33.29/5.34 % (954736)Instruction limit reached! 33.29/5.34 % (954736)------------------------------ 33.29/5.34 % (954736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 33.29/5.34 % (954736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 33.29/5.34 % (954736)CaDiCaL version: 2.1.3 33.29/5.34 % (954736)Termination reason: Instruction limit 33.29/5.34 % (954736)Termination phase: Saturation 33.29/5.34 % (954736)Time elapsed: 0.428 s 33.29/5.34 % (954736)Peak memory usage: 20 MB 33.29/5.34 % (954736)Instructions burned: 877 (million) 33.29/5.34 % (954764)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on 33.29/5.34 % (954764)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3122876136:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_1755 on theBenchmark for (1755ds/4386Mi) 33.29/5.34 % (954762)Instruction limit reached! 33.29/5.34 % (954762)------------------------------ 33.29/5.34 % (954762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 33.29/5.34 % (954762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 33.29/5.34 % (954762)CaDiCaL version: 2.1.3 33.29/5.34 % (954762)Termination reason: Instruction limit 33.29/5.34 % (954762)Termination phase: Saturation 33.29/5.34 % (954762)Time elapsed: 0.061 s 33.29/5.34 % (954762)Peak memory usage: 14 MB 33.29/5.34 % (954762)Instructions burned: 284 (million) 33.29/5.34 % (954766)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection 33.29/5.34 % (954766)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off 33.29/5.34 % (954766)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=2627441279:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_1755 on theBenchmark for (1755ds/483Mi) 35.04/5.64 % (954756)Instruction limit reached! 35.04/5.64 % (954756)------------------------------ 35.04/5.64 % (954756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.04/5.64 % (954756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.04/5.64 % (954756)CaDiCaL version: 2.1.3 35.04/5.64 % (954756)Termination reason: Instruction limit 35.04/5.64 % (954756)Termination phase: Saturation 35.04/5.64 % (954756)Time elapsed: 0.121 s 35.04/5.64 % (954756)Peak memory usage: 15 MB 35.04/5.64 % (954756)Instructions burned: 285 (million) 35.04/5.64 % (954768)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3908153768:i=73:rtra=on_1754 on theBenchmark for (1754ds/73Mi) 35.04/5.64 % (954768)Instruction limit reached! 35.04/5.64 % (954768)------------------------------ 35.04/5.64 % (954768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.04/5.64 % (954768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.04/5.64 % (954768)CaDiCaL version: 2.1.3 35.04/5.64 % (954768)Termination reason: Instruction limit 35.04/5.64 % (954768)Termination phase: shuffling 35.04/5.64 % (954768)Time elapsed: 0.032 s 35.04/5.64 % (954768)Peak memory usage: 11 MB 35.04/5.64 % (954768)Instructions burned: 75 (million) 35.04/5.64 % (954757)Instruction limit reached! 35.04/5.64 % (954757)------------------------------ 35.04/5.64 % (954757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.04/5.64 % (954757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.04/5.64 % (954757)CaDiCaL version: 2.1.3 35.04/5.64 % (954757)Termination reason: Instruction limit 35.04/5.64 % (954757)Termination phase: Saturation 35.04/5.64 % (954757)Time elapsed: 0.199 s 35.04/5.64 % (954757)Peak memory usage: 16 MB 35.04/5.64 % (954757)Instructions burned: 466 (million) 35.04/5.64 % (954770)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1268182906:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_1754 on theBenchmark for (1754ds/176Mi) 35.04/5.64 % (954771)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off 35.04/5.64 % (954771)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1023925874:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_1754 on theBenchmark for (1754ds/39Mi) 35.04/5.64 % (954771)Instruction limit reached! 35.04/5.64 % (954771)------------------------------ 35.04/5.64 % (954771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.04/5.64 % (954771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.04/5.64 % (954771)CaDiCaL version: 2.1.3 35.04/5.64 % (954771)Termination reason: Instruction limit 35.04/5.64 % (954771)Termination phase: shuffling 35.04/5.64 % (954771)Time elapsed: 0.017 s 35.04/5.64 % (954771)Peak memory usage: 11 MB 35.04/5.64 % (954771)Instructions burned: 39 (million) 35.04/5.64 % (954717)Instruction limit reached! 35.04/5.64 % (954717)------------------------------ 35.04/5.64 % (954717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.04/5.64 % (954717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.04/5.64 % (954717)CaDiCaL version: 2.1.3 35.04/5.64 % (954717)Termination reason: Instruction limit 35.04/5.64 % (954717)Termination phase: Saturation 35.04/5.64 % (954717)Time elapsed: 1.035 s 35.04/5.64 % (954717)Peak memory usage: 26 MB 35.04/5.64 % (954717)Instructions burned: 2241 (million) 35.04/5.64 % (954766)Instruction limit reached! 35.04/5.64 % (954766)------------------------------ 35.04/5.64 % (954766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 35.04/5.64 % (954766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 35.04/5.64 % (954766)CaDiCaL version: 2.1.3 35.04/5.64 % (954766)Termination reason: Instruction limit 35.04/5.64 % (954766)Termination phase: Saturation 35.04/5.64 % (954766)Time elapsed: 0.128 s 35.04/5.64 % (954766)Peak memory usage: 18 MB 35.04/5.64 % (954766)Instructions burned: 484 (million) 35.04/5.64 % (954776)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2615675462:i=823:fsr=off:rtra=on_1753 on theBenchmark for (1753ds/823Mi) 35.04/5.64 % (954775)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 38.99/6.04 % (954774)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1891806318:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1753 on theBenchmark for (1753ds/708Mi) 38.99/6.04 % (954775)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2036841094:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_1753 on theBenchmark for (1753ds/252Mi) 38.99/6.04 % (954770)Instruction limit reached! 38.99/6.04 % (954770)------------------------------ 38.99/6.04 % (954770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 38.99/6.04 % (954770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 38.99/6.04 % (954770)CaDiCaL version: 2.1.3 38.99/6.04 % (954770)Termination reason: Instruction limit 38.99/6.04 % (954770)Termination phase: Saturation 38.99/6.04 % (954770)Time elapsed: 0.127 s 38.99/6.04 % (954770)Peak memory usage: 13 MB 38.99/6.04 % (954770)Instructions burned: 177 (million) 38.99/6.04 % (954780)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100 38.99/6.04 % (954780)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1328678901:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_1752 on theBenchmark for (1752ds/16202Mi) 38.99/6.04 % (954775)Instruction limit reached! 38.99/6.04 % (954775)------------------------------ 38.99/6.04 % (954775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 38.99/6.04 % (954775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 38.99/6.04 % (954775)CaDiCaL version: 2.1.3 38.99/6.04 % (954775)Termination reason: Instruction limit 38.99/6.04 % (954775)Termination phase: Saturation 38.99/6.04 % (954775)Time elapsed: 0.106 s 38.99/6.04 % (954775)Peak memory usage: 15 MB 38.99/6.04 % (954775)Instructions burned: 253 (million) 38.99/6.04 % (954782)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=4127414524:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_1752 on theBenchmark for (1752ds/300Mi) 38.99/6.04 % (954776)Instruction limit reached! 38.99/6.04 % (954776)------------------------------ 38.99/6.04 % (954776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 38.99/6.04 % (954776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 38.99/6.04 % (954776)CaDiCaL version: 2.1.3 38.99/6.04 % (954776)Termination reason: Instruction limit 38.99/6.04 % (954776)Termination phase: Saturation 38.99/6.04 % (954776)Time elapsed: 0.182 s 38.99/6.04 % (954776)Peak memory usage: 18 MB 38.99/6.04 % (954776)Instructions burned: 824 (million) 38.99/6.04 % (954784)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on 38.99/6.04 % (954784)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on 38.99/6.04 % (954784)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3470969586:i=177:add=on:bd=preordered:rtra=on:rawr=on_1751 on theBenchmark for (1751ds/177Mi) 38.99/6.04 % (954784)Instruction limit reached! 38.99/6.04 % (954784)------------------------------ 38.99/6.04 % (954784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 38.99/6.04 % (954784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 38.99/6.04 % (954784)CaDiCaL version: 2.1.3 38.99/6.04 % (954784)Termination reason: Instruction limit 38.99/6.04 % (954784)Termination phase: Saturation 38.99/6.04 % (954784)Time elapsed: 0.039 s 38.99/6.04 % (954784)Peak memory usage: 14 MB 38.99/6.04 % (954784)Instructions burned: 181 (million) 38.99/6.04 % (954786)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=733571509:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_1751 on theBenchmark for (1751ds/715Mi) 38.99/6.04 % (954782)Instruction limit reached! 38.99/6.04 % (954782)------------------------------ 38.99/6.04 % (954782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 38.99/6.04 % (954782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 38.99/6.04 % (954782)CaDiCaL version: 2.1.3 38.99/6.04 % (954782)Termination reason: Instruction limit 38.99/6.04 % (954782)Termination phase: Saturation 42.09/6.56 % (954782)Time elapsed: 0.128 s 42.09/6.56 % (954782)Peak memory usage: 16 MB 42.09/6.56 % (954782)Instructions burned: 300 (million) 42.09/6.56 % (954788)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on 42.09/6.56 % (954788)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on 42.09/6.56 % (954788)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=896762777:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_1750 on theBenchmark for (1750ds/230Mi) 42.09/6.56 % (954774)Instruction limit reached! 42.09/6.56 % (954774)------------------------------ 42.09/6.56 % (954774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 42.09/6.56 % (954774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 42.09/6.56 % (954774)CaDiCaL version: 2.1.3 42.09/6.56 % (954774)Termination reason: Instruction limit 42.09/6.56 % (954774)Termination phase: Saturation 42.09/6.56 % (954774)Time elapsed: 0.307 s 42.09/6.56 % (954774)Peak memory usage: 24 MB 42.09/6.56 % (954774)Instructions burned: 709 (million) 42.09/6.56 % (954790)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=569750187:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_1750 on theBenchmark for (1750ds/606Mi) 42.09/6.56 % (954788)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use 42.09/6.56 % (954788)Instruction limit reached! 42.09/6.56 % (954788)------------------------------ 42.09/6.56 % (954788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 42.09/6.56 % (954788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 42.09/6.56 % (954788)CaDiCaL version: 2.1.3 42.09/6.56 % (954788)Termination reason: Instruction limit 42.09/6.56 % (954788)Termination phase: Saturation 42.09/6.56 % (954788)Time elapsed: 0.097 s 42.09/6.56 % (954788)Peak memory usage: 14 MB 42.09/6.56 % (954788)Instructions burned: 230 (million) 42.09/6.56 % (954792)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs 42.09/6.56 % (954792)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3930467427:lrd=on:i=841:nm=0:rtra=on_1749 on theBenchmark for (1749ds/841Mi) 42.09/6.56 % (954786)Instruction limit reached! 42.09/6.56 % (954786)------------------------------ 42.09/6.56 % (954786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 42.09/6.56 % (954786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 42.09/6.56 % (954786)CaDiCaL version: 2.1.3 42.09/6.56 % (954786)Termination reason: Instruction limit 42.09/6.56 % (954786)Termination phase: Saturation 42.09/6.56 % (954786)Time elapsed: 0.171 s 42.09/6.56 % (954786)Peak memory usage: 17 MB 42.09/6.56 % (954786)Instructions burned: 715 (million) 42.09/6.56 % (954794)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3087153722:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1749 on theBenchmark for (1749ds/445Mi) 42.09/6.56 % (954794)Instruction limit reached! 42.09/6.56 % (954794)------------------------------ 42.09/6.56 % (954794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 42.09/6.56 % (954794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 42.09/6.56 % (954794)CaDiCaL version: 2.1.3 42.09/6.56 % (954794)Termination reason: Instruction limit 42.09/6.56 % (954794)Termination phase: Saturation 42.09/6.56 % (954794)Time elapsed: 0.108 s 42.09/6.56 % (954794)Peak memory usage: 16 MB 42.09/6.56 % (954794)Instructions burned: 449 (million) 42.09/6.56 % (954796)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3444998263:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_1748 on theBenchmark for (1748ds/71Mi) 42.09/6.56 % (954796)Instruction limit reached! 42.09/6.56 % (954796)------------------------------ 42.09/6.56 % (954796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 42.09/6.56 % (954796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 42.09/6.56 % (954796)CaDiCaL version: 2.1.3 42.09/6.56 % (954796)Termination reason: Instruction limit 42.09/6.56 % (954796)Termination phase: Property scanning 46.85/7.18 % (954796)Time elapsed: 0.016 s 46.85/7.18 % (954796)Peak memory usage: 11 MB 46.85/7.18 % (954796)Instructions burned: 74 (million) 46.85/7.18 % (954798)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 46.85/7.18 % (954798)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 46.85/7.18 % (954798)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=693626750:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1747 on theBenchmark for (1747ds/100Mi) 46.85/7.18 % (954798)Instruction limit reached! 46.85/7.18 % (954798)------------------------------ 46.85/7.18 % (954798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.85/7.18 % (954798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.85/7.18 % (954798)CaDiCaL version: 2.1.3 46.85/7.18 % (954798)Termination reason: Instruction limit 46.85/7.18 % (954798)Termination phase: Property scanning 46.85/7.18 % (954798)Time elapsed: 0.022 s 46.85/7.18 % (954798)Peak memory usage: 11 MB 46.85/7.18 % (954798)Instructions burned: 104 (million) 46.85/7.18 % (954800)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on 46.85/7.18 % (954800)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=2156671919:i=1352:add=on:aac=none:rtra=on_1747 on theBenchmark for (1747ds/1352Mi) 46.85/7.18 % (954790)Instruction limit reached! 46.85/7.18 % (954790)------------------------------ 46.85/7.18 % (954790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.85/7.18 % (954790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.85/7.18 % (954790)CaDiCaL version: 2.1.3 46.85/7.18 % (954790)Termination reason: Instruction limit 46.85/7.18 % (954790)Termination phase: Saturation 46.85/7.18 % (954790)Time elapsed: 0.281 s 46.85/7.18 % (954790)Peak memory usage: 17 MB 46.85/7.18 % (954790)Instructions burned: 606 (million) 46.85/7.18 % (954802)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=2173349150:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_1747 on theBenchmark for (1747ds/646Mi) 46.85/7.18 % (954792)Instruction limit reached! 46.85/7.18 % (954792)------------------------------ 46.85/7.18 % (954792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.85/7.18 % (954792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.85/7.18 % (954792)CaDiCaL version: 2.1.3 46.85/7.18 % (954792)Termination reason: Instruction limit 46.85/7.18 % (954792)Termination phase: Saturation 46.85/7.18 % (954792)Time elapsed: 0.385 s 46.85/7.18 % (954792)Peak memory usage: 22 MB 46.85/7.18 % (954792)Instructions burned: 842 (million) 46.85/7.18 % (954804)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3937022626:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_1745 on theBenchmark for (1745ds/1924Mi) 46.85/7.18 % (954800)Instruction limit reached! 46.85/7.18 % (954800)------------------------------ 46.85/7.18 % (954800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.85/7.18 % (954800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.85/7.18 % (954800)CaDiCaL version: 2.1.3 46.85/7.18 % (954800)Termination reason: Instruction limit 46.85/7.18 % (954800)Termination phase: Saturation 46.85/7.18 % (954800)Time elapsed: 0.275 s 46.85/7.18 % (954800)Peak memory usage: 25 MB 46.85/7.18 % (954800)Instructions burned: 1353 (million) 46.85/7.18 % (954806)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2314367609:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_1744 on theBenchmark for (1744ds/984Mi) 46.85/7.18 % (954802)Instruction limit reached! 46.85/7.18 % (954802)------------------------------ 46.85/7.18 % (954802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 46.85/7.18 % (954802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 46.85/7.18 % (954802)CaDiCaL version: 2.1.3 46.85/7.18 % (954802)Termination reason: Instruction limit 46.85/7.18 % (954802)Termination phase: Saturation 50.62/7.87 % (954802)Time elapsed: 0.327 s 50.62/7.87 % (954802)Peak memory usage: 19 MB 50.62/7.87 % (954802)Instructions burned: 648 (million) 50.62/7.87 % (954808)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=20209119:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_1743 on theBenchmark for (1743ds/592Mi) 50.62/7.87 % (954806)Instruction limit reached! 50.62/7.87 % (954806)------------------------------ 50.62/7.87 % (954806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 50.62/7.87 % (954806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 50.62/7.87 % (954806)CaDiCaL version: 2.1.3 50.62/7.87 % (954806)Termination reason: Instruction limit 50.62/7.87 % (954806)Termination phase: Saturation 50.62/7.87 % (954806)Time elapsed: 0.254 s 50.62/7.87 % (954806)Peak memory usage: 18 MB 50.62/7.87 % (954806)Instructions burned: 988 (million) 50.62/7.87 % (954810)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1002871189:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_1742 on theBenchmark for (1742ds/872Mi) 50.62/7.87 % (954808)Instruction limit reached! 50.62/7.87 % (954808)------------------------------ 50.62/7.87 % (954808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 50.62/7.87 % (954808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 50.62/7.87 % (954808)CaDiCaL version: 2.1.3 50.62/7.87 % (954808)Termination reason: Instruction limit 50.62/7.87 % (954808)Termination phase: Saturation 50.62/7.87 % (954808)Time elapsed: 0.258 s 50.62/7.87 % (954808)Peak memory usage: 23 MB 50.62/7.87 % (954808)Instructions burned: 592 (million) 50.62/7.87 % (954812)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on 50.62/7.87 % (954812)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3217938126:i=999:add=on:rtra=on_1741 on theBenchmark for (1741ds/999Mi) 50.62/7.87 % (954810)Instruction limit reached! 50.62/7.87 % (954810)------------------------------ 50.62/7.87 % (954810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 50.62/7.87 % (954810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 50.62/7.87 % (954810)CaDiCaL version: 2.1.3 50.62/7.87 % (954810)Termination reason: Instruction limit 50.62/7.87 % (954810)Termination phase: Saturation 50.62/7.87 % (954810)Time elapsed: 0.204 s 50.62/7.87 % (954810)Peak memory usage: 16 MB 50.62/7.87 % (954810)Instructions burned: 874 (million) 50.62/7.87 % (954814)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 50.62/7.87 % (954814)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=1701957984:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_1739 on theBenchmark for (1739ds/244Mi) 50.62/7.87 % (954814)Instruction limit reached! 50.62/7.87 % (954814)------------------------------ 50.62/7.87 % (954814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 50.62/7.87 % (954814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 50.62/7.87 % (954814)CaDiCaL version: 2.1.3 50.62/7.87 % (954814)Termination reason: Instruction limit 50.62/7.87 % (954814)Termination phase: Saturation 50.62/7.87 % (954814)Time elapsed: 0.054 s 50.62/7.87 % (954814)Peak memory usage: 15 MB 50.62/7.87 % (954814)Instructions burned: 249 (million) 50.62/7.87 % (954816)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1385179484:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_1739 on theBenchmark for (1739ds/113Mi) 50.62/7.87 % (954816)Instruction limit reached! 50.62/7.87 % (954816)------------------------------ 50.62/7.87 % (954816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 50.62/7.87 % (954816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 50.62/7.87 % (954816)CaDiCaL version: 2.1.3 50.62/7.87 % (954816)Termination reason: Instruction limit 50.62/7.87 % (954816)Termination phase: Function definition elimination 50.62/7.87 % (954816)Time elapsed: 0.025 s 50.62/7.87 % (954816)Peak memory usage: 12 MB 50.62/7.87 % (954816)Instructions burned: 116 (million) 50.62/7.87 % (954818)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3168815257:i=7795:sd=2:nm=16:rtra=on:ss=axioms_1738 on theBenchmark for (1738ds/7795Mi) 61.45/9.20 % (954812)Instruction limit reached! 61.45/9.20 % (954812)------------------------------ 61.45/9.20 % (954812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 61.45/9.20 % (954812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 61.45/9.20 % (954812)CaDiCaL version: 2.1.3 61.45/9.20 % (954812)Termination reason: Instruction limit 61.45/9.20 % (954812)Termination phase: Saturation 61.45/9.20 % (954812)Time elapsed: 0.411 s 61.45/9.20 % (954812)Peak memory usage: 25 MB 61.45/9.20 % (954812)Instructions burned: 1000 (million) 61.45/9.20 % (954820)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2307432160:st=2:i=5026:sd=1:rtra=on:ss=axioms_1736 on theBenchmark for (1736ds/5026Mi) 61.45/9.20 % (954804)Instruction limit reached! 61.45/9.20 % (954804)------------------------------ 61.45/9.20 % (954804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 61.45/9.20 % (954804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 61.45/9.20 % (954804)CaDiCaL version: 2.1.3 61.45/9.20 % (954804)Termination reason: Instruction limit 61.45/9.20 % (954804)Termination phase: Saturation 61.45/9.20 % (954804)Time elapsed: 0.947 s 61.45/9.20 % (954804)Peak memory usage: 20 MB 61.45/9.20 % (954804)Instructions burned: 1926 (million) 61.45/9.20 % (954822)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on 61.45/9.20 % (954764)Instruction limit reached! 61.45/9.20 % (954764)------------------------------ 61.45/9.20 % (954764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 61.45/9.20 % (954764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 61.45/9.20 % (954764)CaDiCaL version: 2.1.3 61.45/9.20 % (954764)Termination reason: Instruction limit 61.45/9.20 % (954764)Termination phase: Saturation 61.45/9.20 % (954764)Time elapsed: 1.967 s 61.45/9.20 % (954764)Peak memory usage: 16 MB 61.45/9.20 % (954764)Instructions burned: 4386 (million) 61.45/9.20 % (954822)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=883380121:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_1735 on theBenchmark for (1735ds/763Mi) 61.45/9.20 % (954823)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3667826746:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1735 on theBenchmark for (1735ds/1144Mi) 61.45/9.20 % (954580)Instruction limit reached! 61.45/9.20 % (954580)------------------------------ 61.45/9.20 % (954580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 61.45/9.20 % (954580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 61.45/9.20 % (954580)CaDiCaL version: 2.1.3 61.45/9.20 % (954580)Termination reason: Instruction limit 61.45/9.20 % (954580)Termination phase: Saturation 61.45/9.20 % (954580)Time elapsed: 5.279 s 61.45/9.20 % (954580)Peak memory usage: 56 MB 61.45/9.20 % (954580)Instructions burned: 9841 (million) 61.45/9.20 % (954826)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on 61.45/9.20 % (954826)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=1789268060:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_1735 on theBenchmark for (1735ds/52Mi) 61.45/9.20 % (954826)Instruction limit reached! 61.45/9.20 % (954826)------------------------------ 61.45/9.20 % (954826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 61.45/9.20 % (954826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 61.45/9.20 % (954826)CaDiCaL version: 2.1.3 61.45/9.20 % (954826)Termination reason: Instruction limit 61.45/9.20 % (954826)Termination phase: Property scanning 61.45/9.20 % (954826)Time elapsed: 0.023 s 61.45/9.20 % (954826)Peak memory usage: 11 MB 61.45/9.20 % (954826)Instructions burned: 53 (million) 61.45/9.20 % (954828)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=3036278856:i=1724:fsr=off:rtra=on:fe=abstraction_1734 on theBenchmark for (1734ds/1724Mi) 61.45/9.20 % (954822)Instruction limit reached! 61.45/9.20 % (954822)------------------------------ 61.45/9.20 % (954822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 61.45/9.20 % (954822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 68.18/10.16 % (954822)CaDiCaL version: 2.1.3 68.18/10.16 % (954822)Termination reason: Instruction limit 68.18/10.16 % (954822)Termination phase: Saturation 68.18/10.16 % (954822)Time elapsed: 0.320 s 68.18/10.16 % (954822)Peak memory usage: 16 MB 68.18/10.16 % (954822)Instructions burned: 764 (million) 68.18/10.16 % (954830)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=2461867131:i=439:add=on:slsql=off:rtra=on:ntd=on_1732 on theBenchmark for (1732ds/439Mi) 68.18/10.16 % (954830)Instruction limit reached! 68.18/10.16 % (954830)------------------------------ 68.18/10.16 % (954830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 68.18/10.16 % (954830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 68.18/10.16 % (954830)CaDiCaL version: 2.1.3 68.18/10.16 % (954830)Termination reason: Instruction limit 68.18/10.16 % (954830)Termination phase: Saturation 68.18/10.16 % (954830)Time elapsed: 0.186 s 68.18/10.16 % (954830)Peak memory usage: 17 MB 68.18/10.16 % (954830)Instructions burned: 440 (million) 68.18/10.16 % (954832)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1650403143:i=6395:sd=1:rtra=on:ss=axioms_1730 on theBenchmark for (1730ds/6395Mi) 68.18/10.16 % (954730)Instruction limit reached! 68.18/10.16 % (954730)------------------------------ 68.18/10.16 % (954730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 68.18/10.16 % (954730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 68.18/10.16 % (954730)CaDiCaL version: 2.1.3 68.18/10.16 % (954730)Termination reason: Instruction limit 68.18/10.16 % (954730)Termination phase: Saturation 68.18/10.16 % (954730)Time elapsed: 3.146 s 68.18/10.16 % (954730)Peak memory usage: 39 MB 68.18/10.16 % (954730)Instructions burned: 6360 (million) 68.18/10.16 % (954823)Instruction limit reached! 68.18/10.16 % (954823)------------------------------ 68.18/10.16 % (954823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 68.18/10.16 % (954823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 68.18/10.16 % (954823)CaDiCaL version: 2.1.3 68.18/10.16 % (954823)Termination reason: Instruction limit 68.18/10.16 % (954823)Termination phase: Saturation 68.18/10.16 % (954823)Time elapsed: 0.586 s 68.18/10.16 % (954823)Peak memory usage: 24 MB 68.18/10.16 % (954823)Instructions burned: 1144 (million) 68.18/10.16 % (954834)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on 68.18/10.16 % (954834)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2647458170:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_1729 on theBenchmark for (1729ds/6762Mi) 68.18/10.16 % (954835)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 68.18/10.16 % (954835)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=2616684932:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_1729 on theBenchmark for (1729ds/376Mi) 68.18/10.16 % (954835)Instruction limit reached! 68.18/10.16 % (954835)------------------------------ 68.18/10.16 % (954835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 68.18/10.16 % (954835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 68.18/10.16 % (954835)CaDiCaL version: 2.1.3 68.18/10.16 % (954835)Termination reason: Instruction limit 68.18/10.16 % (954835)Termination phase: Saturation 68.18/10.16 % (954835)Time elapsed: 0.154 s 68.18/10.16 % (954835)Peak memory usage: 15 MB 68.18/10.16 % (954835)Instructions burned: 376 (million) 68.18/10.16 % (954838)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2678700865:i=965:bd=all:ins=4:rtra=on_1727 on theBenchmark for (1727ds/965Mi) 68.18/10.16 % (954828)Instruction limit reached! 68.18/10.16 % (954828)------------------------------ 68.18/10.16 % (954828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 68.18/10.16 % (954828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 68.18/10.16 % (954828)CaDiCaL version: 2.1.3 68.18/10.16 % (954828)Termination reason: Instruction limit 68.18/10.16 % (954828)Termination phase: Saturation 68.18/10.16 % (954828)Time elapsed: 0.899 s 68.18/10.16 % (954828)Peak memory usage: 19 MB 68.18/10.16 % (954828)Instructions burned: 1725 (million) 70.54/10.68 % (954840)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4098636355:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_1725 on theBenchmark for (1725ds/5013Mi) 70.54/10.68 % (954838)Instruction limit reached! 70.54/10.68 % (954838)------------------------------ 70.54/10.68 % (954838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 70.54/10.68 % (954838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 70.54/10.68 % (954838)CaDiCaL version: 2.1.3 70.54/10.68 % (954838)Termination reason: Instruction limit 70.54/10.68 % (954838)Termination phase: Saturation 70.54/10.68 % (954838)Time elapsed: 0.376 s 70.54/10.68 % (954838)Peak memory usage: 19 MB 70.54/10.68 % (954838)Instructions burned: 969 (million) 70.54/10.68 % (954842)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3226559657:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_1724 on theBenchmark for (1724ds/1583Mi) 70.54/10.68 % (954842)Instruction limit reached! 70.54/10.68 % (954842)------------------------------ 70.54/10.68 % (954842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 70.54/10.69 % (954842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 70.54/10.69 % (954842)CaDiCaL version: 2.1.3 70.54/10.69 % (954842)Termination reason: Instruction limit 70.54/10.69 % (954842)Termination phase: Saturation 70.54/10.69 % (954842)Time elapsed: 0.687 s 70.54/10.69 % (954842)Peak memory usage: 27 MB 70.54/10.69 % (954842)Instructions burned: 1583 (million) 70.54/10.69 % (954818)Instruction limit reached! 70.54/10.69 % (954818)------------------------------ 70.54/10.69 % (954818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 70.54/10.69 % (954818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 70.54/10.69 % (954818)CaDiCaL version: 2.1.3 70.54/10.69 % (954818)Termination reason: Instruction limit 70.54/10.69 % (954818)Termination phase: Saturation 70.54/10.69 % (954818)Time elapsed: 2.180 s 70.54/10.69 % (954818)Peak memory usage: 51 MB 70.54/10.69 % (954818)Instructions burned: 7799 (million) 70.54/10.69 % (954845)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1779217072:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_1716 on theBenchmark for (1716ds/515Mi) 70.54/10.69 % (954844)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on 70.54/10.69 % (954844)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on 70.54/10.69 % (954844)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 70.54/10.69 % (954844)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on 70.54/10.69 % (954844)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=1649059284:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_1716 on theBenchmark for (1716ds/1774Mi) 70.54/10.69 % (954845)Instruction limit reached! 70.54/10.69 % (954845)------------------------------ 70.54/10.69 % (954845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 70.54/10.69 % (954845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 70.54/10.69 % (954845)CaDiCaL version: 2.1.3 70.54/10.69 % (954845)Termination reason: Instruction limit 70.54/10.69 % (954845)Termination phase: Saturation 70.54/10.69 % (954845)Time elapsed: 0.123 s 70.54/10.69 % (954845)Peak memory usage: 16 MB 70.54/10.69 % (954845)Instructions burned: 519 (million) 70.54/10.69 % (954848)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 70.54/10.69 % (954848)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=592124512:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_1715 on theBenchmark for (1715ds/1297Mi) 70.54/10.69 % (954848)Instruction limit reached! 70.54/10.69 % (954848)------------------------------ 70.54/10.69 % (954848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 70.54/10.69 % (954848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 75.62/11.21 % (954848)CaDiCaL version: 2.1.3 75.62/11.21 % (954848)Termination reason: Instruction limit 75.62/11.21 % (954848)Termination phase: Saturation 75.62/11.21 % (954848)Time elapsed: 0.311 s 75.62/11.21 % (954848)Peak memory usage: 18 MB 75.62/11.21 % (954848)Instructions burned: 1299 (million) 75.62/11.21 % (954850)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=1456064994:s2a=on:i=611:rtra=on:gsp=on_1712 on theBenchmark for (1712ds/611Mi) 75.62/11.21 % (954850)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 75.62/11.21 % (954850)Instruction limit reached! 75.62/11.21 % (954850)------------------------------ 75.62/11.21 % (954850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 75.62/11.21 % (954850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 75.62/11.21 % (954850)CaDiCaL version: 2.1.3 75.62/11.21 % (954850)Termination reason: Instruction limit 75.62/11.21 % (954850)Termination phase: Saturation 75.62/11.21 % (954850)Time elapsed: 0.141 s 75.62/11.21 % (954850)Peak memory usage: 24 MB 75.62/11.21 % (954850)Instructions burned: 613 (million) 75.62/11.21 % (954852)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 75.62/11.21 % (954852)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2620709771:i=72:bd=all:rtra=on_1710 on theBenchmark for (1710ds/72Mi) 75.62/11.21 % (954852)Instruction limit reached! 75.62/11.21 % (954852)------------------------------ 75.62/11.21 % (954852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 75.62/11.21 % (954852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 75.62/11.21 % (954852)CaDiCaL version: 2.1.3 75.62/11.21 % (954852)Termination reason: Instruction limit 75.62/11.21 % (954852)Termination phase: shuffling 75.62/11.21 % (954852)Time elapsed: 0.016 s 75.62/11.21 % (954852)Peak memory usage: 11 MB 75.62/11.21 % (954852)Instructions burned: 75 (million) 75.62/11.21 % (954854)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1767466443:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_1710 on theBenchmark for (1710ds/6580Mi) 75.62/11.21 % (954820)Instruction limit reached! 75.62/11.21 % (954820)------------------------------ 75.62/11.21 % (954820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 75.62/11.21 % (954820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 75.62/11.21 % (954820)CaDiCaL version: 2.1.3 75.62/11.21 % (954820)Termination reason: Instruction limit 75.62/11.21 % (954820)Termination phase: Saturation 75.62/11.21 % (954820)Time elapsed: 2.644 s 75.62/11.21 % (954820)Peak memory usage: 28 MB 75.62/11.21 % (954820)Instructions burned: 5027 (million) 75.62/11.21 % (954856)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=704374265:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_1710 on theBenchmark for (1710ds/6209Mi) 75.62/11.21 % (954844)Instruction limit reached! 75.62/11.21 % (954844)------------------------------ 75.62/11.21 % (954844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 75.62/11.21 % (954844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 75.62/11.21 % (954844)CaDiCaL version: 2.1.3 75.62/11.21 % (954844)Termination reason: Instruction limit 75.62/11.21 % (954844)Termination phase: Saturation 75.62/11.21 % (954844)Time elapsed: 0.856 s 75.62/11.21 % (954844)Peak memory usage: 22 MB 75.62/11.21 % (954844)Instructions burned: 1776 (million) 75.62/11.21 % (954858)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=842407618:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_1708 on theBenchmark for (1708ds/1003Mi) 75.62/11.21 % (954858)Instruction limit reached! 75.62/11.21 % (954858)------------------------------ 75.62/11.21 % (954858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 75.62/11.21 % (954858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 75.62/11.21 % (954858)CaDiCaL version: 2.1.3 75.62/11.21 % (954858)Termination reason: Instruction limit 75.62/11.21 % (954858)Termination phase: Saturation 75.62/11.21 % (954858)Time elapsed: 0.502 s 75.62/11.21 % (954858)Peak memory usage: 22 MB 75.62/11.21 % (954858)Instructions burned: 1003 (million) 75.62/11.21 % (954860)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on 78.99/11.79 % (954860)ott+1002_16_sil=128000:si=on:random_seed=858270233:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_1702 on theBenchmark for (1702ds/409Mi) 78.99/11.79 % (954840)Instruction limit reached! 78.99/11.79 % (954840)------------------------------ 78.99/11.79 % (954840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 78.99/11.79 % (954840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 78.99/11.79 % (954840)CaDiCaL version: 2.1.3 78.99/11.79 % (954840)Termination reason: Instruction limit 78.99/11.79 % (954840)Termination phase: Saturation 78.99/11.79 % (954840)Time elapsed: 2.281 s 78.99/11.79 % (954840)Peak memory usage: 31 MB 78.99/11.79 % (954840)Instructions burned: 5014 (million) 78.99/11.79 % (954862)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=3629104153:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_1702 on theBenchmark for (1702ds/403Mi) 78.99/11.79 % (954832)Instruction limit reached! 78.99/11.79 % (954832)------------------------------ 78.99/11.79 % (954832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 78.99/11.79 % (954832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 78.99/11.79 % (954832)CaDiCaL version: 2.1.3 78.99/11.79 % (954832)Termination reason: Instruction limit 78.99/11.79 % (954832)Termination phase: Saturation 78.99/11.79 % (954832)Time elapsed: 2.799 s 78.99/11.79 % (954832)Peak memory usage: 34 MB 78.99/11.79 % (954832)Instructions burned: 6397 (million) 78.99/11.79 % (954864)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=3297396220:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_1702 on theBenchmark for (1702ds/6843Mi) 78.99/11.79 % (954860)Instruction limit reached! 78.99/11.79 % (954860)------------------------------ 78.99/11.79 % (954860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 78.99/11.79 % (954860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 78.99/11.79 % (954860)CaDiCaL version: 2.1.3 78.99/11.79 % (954860)Termination reason: Instruction limit 78.99/11.79 % (954860)Termination phase: Saturation 78.99/11.79 % (954860)Time elapsed: 0.184 s 78.99/11.79 % (954860)Peak memory usage: 16 MB 78.99/11.79 % (954860)Instructions burned: 410 (million) 78.99/11.79 % (954866)lrs+10_2:1_si=on:random_seed=3353352946:s2a=on:i=506:rtra=on:fe=abstraction_1700 on theBenchmark for (1700ds/506Mi) 78.99/11.79 % (954862)Instruction limit reached! 78.99/11.79 % (954862)------------------------------ 78.99/11.79 % (954862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 78.99/11.79 % (954862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 78.99/11.79 % (954862)CaDiCaL version: 2.1.3 78.99/11.79 % (954862)Termination reason: Instruction limit 78.99/11.79 % (954862)Termination phase: Saturation 78.99/11.79 % (954862)Time elapsed: 0.189 s 78.99/11.79 % (954862)Peak memory usage: 17 MB 78.99/11.79 % (954862)Instructions burned: 404 (million) 78.99/11.79 % (954868)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3746806725:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_1700 on theBenchmark for (1700ds/888Mi) 78.99/11.79 % (954866)Instruction limit reached! 78.99/11.79 % (954866)------------------------------ 78.99/11.79 % (954866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 78.99/11.79 % (954866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 78.99/11.79 % (954866)CaDiCaL version: 2.1.3 78.99/11.79 % (954866)Termination reason: Instruction limit 78.99/11.79 % (954866)Termination phase: Saturation 78.99/11.79 % (954866)Time elapsed: 0.238 s 78.99/11.79 % (954866)Peak memory usage: 17 MB 78.99/11.79 % (954866)Instructions burned: 507 (million) 78.99/11.79 % (954870)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on 78.99/11.79 % (954870)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=644847993:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_1698 on theBenchmark for (1698ds/416Mi) 78.99/11.79 % (954834)Instruction limit reached! 78.99/11.79 % (954834)------------------------------ 86.17/12.70 % (954834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 86.17/12.70 % (954834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 86.17/12.70 % (954834)CaDiCaL version: 2.1.3 86.17/12.70 % (954834)Termination reason: Instruction limit 86.17/12.70 % (954834)Termination phase: Saturation 86.17/12.70 % (954834)Time elapsed: 3.215 s 86.17/12.70 % (954834)Peak memory usage: 54 MB 86.17/12.70 % (954834)Instructions burned: 6763 (million) 86.17/12.70 % (954872)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=337108076:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_1697 on theBenchmark for (1697ds/13534Mi) 86.17/12.70 % (954870)Instruction limit reached! 86.17/12.70 % (954870)------------------------------ 86.17/12.70 % (954870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 86.17/12.70 % (954870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 86.17/12.70 % (954870)CaDiCaL version: 2.1.3 86.17/12.70 % (954870)Termination reason: Instruction limit 86.17/12.70 % (954870)Termination phase: Saturation 86.17/12.70 % (954870)Time elapsed: 0.170 s 86.17/12.70 % (954870)Peak memory usage: 18 MB 86.17/12.70 % (954870)Instructions burned: 418 (million) 86.17/12.70 % (954874)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on 86.17/12.70 % (954874)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=4155807023:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_1696 on theBenchmark for (1696ds/206Mi) 86.17/12.70 % (954868)Instruction limit reached! 86.17/12.70 % (954868)------------------------------ 86.17/12.70 % (954868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 86.17/12.70 % (954868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 86.17/12.70 % (954868)CaDiCaL version: 2.1.3 86.17/12.70 % (954868)Termination reason: Instruction limit 86.17/12.70 % (954868)Termination phase: Saturation 86.17/12.70 % (954868)Time elapsed: 0.419 s 86.17/12.70 % (954868)Peak memory usage: 15 MB 86.17/12.70 % (954868)Instructions burned: 890 (million) 86.17/12.70 % (954876)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=1169823535:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_1696 on theBenchmark for (1696ds/2295Mi) 86.17/12.70 % (954874)Instruction limit reached! 86.17/12.70 % (954874)------------------------------ 86.17/12.70 % (954874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 86.17/12.70 % (954874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 86.17/12.70 % (954874)CaDiCaL version: 2.1.3 86.17/12.70 % (954874)Termination reason: Instruction limit 86.17/12.70 % (954874)Termination phase: Saturation 86.17/12.70 % (954874)Time elapsed: 0.083 s 86.17/12.70 % (954874)Peak memory usage: 13 MB 86.17/12.70 % (954874)Instructions burned: 208 (million) 86.17/12.70 % (954878)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=2452974918:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_1695 on theBenchmark for (1695ds/637Mi) 86.17/12.70 % (954878)Instruction limit reached! 86.17/12.70 % (954878)------------------------------ 86.17/12.70 % (954878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 86.17/12.70 % (954878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 86.17/12.70 % (954878)CaDiCaL version: 2.1.3 86.17/12.70 % (954878)Termination reason: Instruction limit 86.17/12.70 % (954878)Termination phase: Saturation 86.17/12.70 % (954878)Time elapsed: 0.282 s 86.17/12.70 % (954878)Peak memory usage: 20 MB 86.17/12.70 % (954878)Instructions burned: 639 (million) 86.17/12.70 % (954854)Instruction limit reached! 86.17/12.70 % (954854)------------------------------ 86.17/12.70 % (954854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 86.17/12.70 % (954854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 86.17/12.70 % (954854)CaDiCaL version: 2.1.3 86.17/12.70 % (954854)Termination reason: Instruction limit 86.17/12.70 % (954854)Termination phase: Saturation 86.17/12.70 % (954854)Time elapsed: 1.809 s 86.17/12.70 % (954854)Peak memory usage: 57 MB 86.17/12.70 % (954854)Instructions burned: 6584 (million) 91.44/13.60 % (954881)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2610919815:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_1692 on theBenchmark for (1692ds/1801Mi) 91.44/13.60 % (954880)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3585216492:hsq=on:i=667:rtra=on:ixr=off_1692 on theBenchmark for (1692ds/667Mi) 91.44/13.60 % (954880)Instruction limit reached! 91.44/13.60 % (954880)------------------------------ 91.44/13.60 % (954880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 91.44/13.60 % (954880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 91.44/13.60 % (954880)CaDiCaL version: 2.1.3 91.44/13.60 % (954880)Termination reason: Instruction limit 91.44/13.60 % (954880)Termination phase: Saturation 91.44/13.60 % (954880)Time elapsed: 0.296 s 91.44/13.60 % (954880)Peak memory usage: 21 MB 91.44/13.60 % (954880)Instructions burned: 667 (million) 91.44/13.60 % (954884)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=3310476293:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_1689 on theBenchmark for (1689ds/555Mi) 91.44/13.60 % (954881)Instruction limit reached! 91.44/13.60 % (954881)------------------------------ 91.44/13.60 % (954881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 91.44/13.60 % (954881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 91.44/13.60 % (954881)CaDiCaL version: 2.1.3 91.44/13.60 % (954881)Termination reason: Instruction limit 91.44/13.60 % (954881)Termination phase: Saturation 91.44/13.60 % (954881)Time elapsed: 0.424 s 91.44/13.60 % (954881)Peak memory usage: 25 MB 91.44/13.60 % (954881)Instructions burned: 1802 (million) 91.44/13.60 % (954886)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=768447497:i=88:s2at=3:nm=2:rtra=on:rawr=on_1687 on theBenchmark for (1687ds/88Mi) 91.44/13.60 % (954886)Instruction limit reached! 91.44/13.60 % (954886)------------------------------ 91.44/13.60 % (954886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 91.44/13.60 % (954886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 91.44/13.60 % (954886)CaDiCaL version: 2.1.3 91.44/13.60 % (954886)Termination reason: Instruction limit 91.44/13.60 % (954886)Termination phase: SInE selection 91.44/13.60 % (954886)Time elapsed: 0.020 s 91.44/13.60 % (954886)Peak memory usage: 11 MB 91.44/13.60 % (954886)Instructions burned: 91 (million) 91.44/13.60 % (954888)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1446231972:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_1687 on theBenchmark for (1687ds/280Mi) 91.44/13.60 % (954888)Instruction limit reached! 91.44/13.60 % (954888)------------------------------ 91.44/13.60 % (954888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 91.44/13.60 % (954888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 91.44/13.60 % (954888)CaDiCaL version: 2.1.3 91.44/13.60 % (954888)Termination reason: Instruction limit 91.44/13.60 % (954888)Termination phase: Saturation 91.44/13.60 % (954888)Time elapsed: 0.061 s 91.44/13.60 % (954888)Peak memory usage: 14 MB 91.44/13.60 % (954888)Instructions burned: 281 (million) 91.44/13.60 % (954884)Instruction limit reached! 91.44/13.60 % (954884)------------------------------ 91.44/13.60 % (954884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 91.44/13.60 % (954884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 91.44/13.60 % (954884)CaDiCaL version: 2.1.3 91.44/13.60 % (954884)Termination reason: Instruction limit 91.44/13.60 % (954884)Termination phase: Saturation 91.44/13.60 % (954884)Time elapsed: 0.220 s 91.44/13.60 % (954884)Peak memory usage: 21 MB 91.44/13.60 % (954884)Instructions burned: 556 (million) 91.44/13.60 % (954890)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=2394629424:s2a=on:i=3166:bd=preordered:rtra=on_1686 on theBenchmark for (1686ds/3166Mi) 91.44/13.60 % (954892)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on 91.44/13.60 % (954892)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=744902970:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_1686 on theBenchmark for (1686ds/4201Mi) 95.78/14.05 % (954876)Instruction limit reached! 95.78/14.05 % (954876)------------------------------ 95.78/14.05 % (954876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 95.78/14.05 % (954876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 95.78/14.05 % (954876)CaDiCaL version: 2.1.3 95.78/14.05 % (954876)Termination reason: Instruction limit 95.78/14.05 % (954876)Termination phase: Saturation 95.78/14.05 % (954876)Time elapsed: 1.099 s 95.78/14.05 % (954876)Peak memory usage: 26 MB 95.78/14.05 % (954876)Instructions burned: 2297 (million) 95.78/14.05 % (954894)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3336468638:i=2352:rtra=on:ixr=off_1684 on theBenchmark for (1684ds/2352Mi) 95.78/14.05 % (954856)Instruction limit reached! 95.78/14.05 % (954856)------------------------------ 95.78/14.05 % (954856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 95.78/14.05 % (954856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 95.78/14.05 % (954856)CaDiCaL version: 2.1.3 95.78/14.05 % (954856)Termination reason: Instruction limit 95.78/14.05 % (954856)Termination phase: Saturation 95.78/14.05 % (954856)Time elapsed: 2.957 s 95.78/14.05 % (954856)Peak memory usage: 26 MB 95.78/14.05 % (954856)Instructions burned: 6209 (million) 95.78/14.05 % (954896)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on 95.78/14.05 % (954896)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=231570444:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_1680 on theBenchmark for (1680ds/452Mi) 95.78/14.05 % (954890)Instruction limit reached! 95.78/14.05 % (954890)------------------------------ 95.78/14.05 % (954890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 95.78/14.05 % (954890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 95.78/14.05 % (954890)CaDiCaL version: 2.1.3 95.78/14.05 % (954890)Termination reason: Instruction limit 95.78/14.05 % (954890)Termination phase: Saturation 95.78/14.05 % (954890)Time elapsed: 0.783 s 95.78/14.05 % (954890)Peak memory usage: 31 MB 95.78/14.05 % (954890)Instructions burned: 3169 (million) 95.78/14.05 % (954898)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection 95.78/14.05 % (954898)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off 95.78/14.05 % (954898)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=1589417778:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_1678 on theBenchmark for (1678ds/483Mi) 95.78/14.05 % (954896)Instruction limit reached! 95.78/14.05 % (954896)------------------------------ 95.78/14.05 % (954896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 95.78/14.05 % (954896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 95.78/14.05 % (954896)CaDiCaL version: 2.1.3 95.78/14.05 % (954896)Termination reason: Instruction limit 95.78/14.05 % (954896)Termination phase: Saturation 95.78/14.05 % (954896)Time elapsed: 0.191 s 95.78/14.05 % (954896)Peak memory usage: 15 MB 95.78/14.05 % (954896)Instructions burned: 453 (million) 95.78/14.05 % (954900)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2535329967:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_1678 on theBenchmark for (1678ds/168Mi) 95.78/14.05 % (954898)Instruction limit reached! 95.78/14.05 % (954898)------------------------------ 95.78/14.05 % (954898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 95.78/14.05 % (954898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 95.78/14.05 % (954898)CaDiCaL version: 2.1.3 95.78/14.05 % (954898)Termination reason: Instruction limit 95.78/14.05 % (954898)Termination phase: Saturation 95.78/14.05 % (954898)Time elapsed: 0.128 s 95.78/14.05 % (954898)Peak memory usage: 19 MB 95.78/14.05 % (954898)Instructions burned: 485 (million) 95.78/14.05 % (954900)Instruction limit reached! 95.78/14.05 % (954900)------------------------------ 95.78/14.05 % (954900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 95.78/14.05 % (954900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 99.70/15.00 % (954900)CaDiCaL version: 2.1.3 99.70/15.00 % (954900)Termination reason: Instruction limit 99.70/15.00 % (954900)Termination phase: Saturation 99.70/15.00 % (954900)Time elapsed: 0.068 s 99.70/15.00 % (954900)Peak memory usage: 13 MB 99.70/15.00 % (954900)Instructions burned: 170 (million) 99.70/15.00 % (954902)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=179828907:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1677 on theBenchmark for (1677ds/17240Mi) 99.70/15.00 % (954903)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=3121192475:i=2022:fsr=off:rtra=on:ixr=off_1677 on theBenchmark for (1677ds/2022Mi) 99.70/15.00 % (954892)Refutation not found, incomplete strategy 99.70/15.00 % (954892)------------------------------ 99.70/15.00 % (954892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 99.70/15.00 % (954892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 99.70/15.00 % (954892)CaDiCaL version: 2.1.3 99.70/15.00 % (954892)Termination reason: Refutation not found, incomplete strategy 99.70/15.00 % (954892)Time elapsed: 1.338 s 99.70/15.00 % (954892)Peak memory usage: 16 MB 99.70/15.00 % (954892)Instructions burned: 2948 (million) 99.70/15.00 % (954892)------------------------------ 99.70/15.00 % (954892)------------------------------ 99.70/15.00 % (954906)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=3881981593:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_1673 on theBenchmark for (1673ds/2274Mi) 99.70/15.00 % (954780)Instruction limit reached! 99.70/15.00 % (954780)------------------------------ 99.70/15.00 % (954780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 99.70/15.00 % (954780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 99.70/15.00 % (954780)CaDiCaL version: 2.1.3 99.70/15.00 % (954780)Termination reason: Instruction limit 99.70/15.00 % (954780)Termination phase: Saturation 99.70/15.00 % (954780)Time elapsed: 8.150 s 99.70/15.00 % (954780)Peak memory usage: 77 MB 99.70/15.00 % (954780)Instructions burned: 16202 (million) 99.70/15.00 % (954894)Instruction limit reached! 99.70/15.00 % (954894)------------------------------ 99.70/15.00 % (954894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 99.70/15.00 % (954894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 99.70/15.00 % (954894)CaDiCaL version: 2.1.3 99.70/15.00 % (954894)Termination reason: Instruction limit 99.70/15.00 % (954894)Termination phase: Saturation 99.70/15.00 % (954894)Time elapsed: 1.362 s 99.70/15.00 % (954894)Peak memory usage: 24 MB 99.70/15.00 % (954894)Instructions burned: 2352 (million) 99.70/15.00 % (954908)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2792604424:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1670 on theBenchmark for (1670ds/555Mi) 99.70/15.00 % (954909)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=675272812:avsq=on:i=2220:rtra=on_1670 on theBenchmark for (1670ds/2220Mi) 99.70/15.00 % (954864)Instruction limit reached! 99.70/15.00 % (954864)------------------------------ 99.70/15.00 % (954864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 99.70/15.00 % (954864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 99.70/15.00 % (954864)CaDiCaL version: 2.1.3 99.70/15.00 % (954864)Termination reason: Instruction limit 99.70/15.00 % (954864)Termination phase: Saturation 99.70/15.00 % (954864)Time elapsed: 3.151 s 99.70/15.00 % (954864)Peak memory usage: 42 MB 99.70/15.00 % (954864)Instructions burned: 6844 (million) 99.70/15.00 % (954912)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1192802451:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_1670 on theBenchmark for (1670ds/715Mi) 99.70/15.00 % (954908)Instruction limit reached! 99.70/15.00 % (954908)------------------------------ 99.70/15.00 % (954908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 99.70/15.00 % (954908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 99.70/15.00 % (954908)CaDiCaL version: 2.1.3 99.70/15.00 % (954908)Termination reason: Instruction limit 99.70/15.00 % (954908)Termination phase: Saturation 99.70/15.00 % (954908)Time elapsed: 0.245 s 112.69/16.52 % (954908)Peak memory usage: 22 MB 112.69/16.52 % (954908)Instructions burned: 555 (million) 112.69/16.52 % (954914)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 112.69/16.52 % (954914)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=2533607311:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_1668 on theBenchmark for (1668ds/1979Mi) 112.69/16.52 % (954903)Instruction limit reached! 112.69/16.52 % (954903)------------------------------ 112.69/16.52 % (954903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 112.69/16.52 % (954903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 112.69/16.52 % (954903)CaDiCaL version: 2.1.3 112.69/16.52 % (954903)Termination reason: Instruction limit 112.69/16.52 % (954903)Termination phase: Saturation 112.69/16.52 % (954903)Time elapsed: 0.931 s 112.69/16.52 % (954903)Peak memory usage: 24 MB 112.69/16.52 % (954903)Instructions burned: 2023 (million) 112.69/16.52 % (954916)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=386439097:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_1667 on theBenchmark for (1667ds/28911Mi) 112.69/16.52 % (954912)Instruction limit reached! 112.69/16.52 % (954912)------------------------------ 112.69/16.52 % (954912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 112.69/16.52 % (954912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 112.69/16.52 % (954912)CaDiCaL version: 2.1.3 112.69/16.52 % (954912)Termination reason: Instruction limit 112.69/16.52 % (954912)Termination phase: Saturation 112.69/16.52 % (954912)Time elapsed: 0.324 s 112.69/16.52 % (954912)Peak memory usage: 17 MB 112.69/16.52 % (954912)Instructions burned: 717 (million) 112.69/16.52 % (954918)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=1224395577:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_1667 on theBenchmark for (1667ds/414Mi) 112.69/16.52 % (954914)Refutation not found, incomplete strategy 112.69/16.52 % (954914)------------------------------ 112.69/16.52 % (954914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 112.69/16.52 % (954914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 112.69/16.52 % (954914)CaDiCaL version: 2.1.3 112.69/16.52 % (954914)Termination reason: Refutation not found, incomplete strategy 112.69/16.52 % (954914)Time elapsed: 0.207 s 112.69/16.52 % (954914)Peak memory usage: 17 MB 112.69/16.52 % (954914)Instructions burned: 451 (million) 112.69/16.52 % (954914)------------------------------ 112.69/16.52 % (954914)------------------------------ 112.69/16.52 % (954920)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2482266642:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_1666 on theBenchmark for (1666ds/429Mi) 112.69/16.52 % (954918)Instruction limit reached! 112.69/16.52 % (954918)------------------------------ 112.69/16.52 % (954918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 112.69/16.52 % (954918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 112.69/16.52 % (954918)CaDiCaL version: 2.1.3 112.69/16.52 % (954918)Termination reason: Instruction limit 112.69/16.52 % (954918)Termination phase: Saturation 112.69/16.52 % (954918)Time elapsed: 0.177 s 112.69/16.52 % (954918)Peak memory usage: 20 MB 112.69/16.52 % (954918)Instructions burned: 415 (million) 112.69/16.52 % (954922)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs 112.69/16.52 % (954922)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1400003103:lrd=on:i=841:nm=0:rtra=on_1665 on theBenchmark for (1665ds/841Mi) 112.69/16.52 % (954920)Instruction limit reached! 112.69/16.52 % (954920)------------------------------ 112.69/16.52 % (954920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 112.69/16.52 % (954920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 112.69/16.52 % (954920)CaDiCaL version: 2.1.3 112.69/16.52 % (954920)Termination reason: Instruction limit 112.69/16.52 % (954920)Termination phase: Saturation 112.69/16.52 % (954920)Time elapsed: 0.198 s 112.69/16.52 % (954920)Peak memory usage: 16 MB 112.69/16.52 % (954920)Instructions burned: 431 (million) 118.54/17.35 % (954924)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2861669239:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1663 on theBenchmark for (1663ds/445Mi) 118.54/17.35 % (954924)Instruction limit reached! 118.54/17.35 % (954924)------------------------------ 118.54/17.35 % (954924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 118.54/17.35 % (954924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 118.54/17.35 % (954924)CaDiCaL version: 2.1.3 118.54/17.35 % (954924)Termination reason: Instruction limit 118.54/17.35 % (954924)Termination phase: Saturation 118.54/17.35 % (954924)Time elapsed: 0.207 s 118.54/17.35 % (954924)Peak memory usage: 16 MB 118.54/17.35 % (954924)Instructions burned: 446 (million) 118.54/17.35 % (954926)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=1025905363:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_1661 on theBenchmark for (1661ds/1324Mi) 118.54/17.35 % (954922)Instruction limit reached! 118.54/17.35 % (954922)------------------------------ 118.54/17.35 % (954922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 118.54/17.35 % (954922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 118.54/17.35 % (954922)CaDiCaL version: 2.1.3 118.54/17.35 % (954922)Termination reason: Instruction limit 118.54/17.35 % (954922)Termination phase: Saturation 118.54/17.35 % (954922)Time elapsed: 0.369 s 118.54/17.35 % (954922)Peak memory usage: 22 MB 118.54/17.35 % (954922)Instructions burned: 842 (million) 118.54/17.35 % (954928)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=3062501063:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_1661 on theBenchmark for (1661ds/5401Mi) 118.54/17.35 % (954906)Instruction limit reached! 118.54/17.35 % (954906)------------------------------ 118.54/17.35 % (954906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 118.54/17.35 % (954906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 118.54/17.35 % (954906)CaDiCaL version: 2.1.3 118.54/17.35 % (954906)Termination reason: Instruction limit 118.54/17.35 % (954906)Termination phase: Saturation 118.54/17.35 % (954906)Time elapsed: 1.202 s 118.54/17.35 % (954906)Peak memory usage: 28 MB 118.54/17.35 % (954906)Instructions burned: 2274 (million) 118.54/17.35 % (954930)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=889144769:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_1660 on theBenchmark for (1660ds/4070Mi) 118.54/17.35 % (954909)Instruction limit reached! 118.54/17.35 % (954909)------------------------------ 118.54/17.35 % (954909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 118.54/17.35 % (954909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 118.54/17.35 % (954909)CaDiCaL version: 2.1.3 118.54/17.35 % (954909)Termination reason: Instruction limit 118.54/17.35 % (954909)Termination phase: Saturation 118.54/17.35 % (954909)Time elapsed: 1.135 s 118.54/17.35 % (954909)Peak memory usage: 19 MB 118.54/17.35 % (954909)Instructions burned: 2221 (million) 118.54/17.35 % (954932)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2325995432:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_1659 on theBenchmark for (1659ds/984Mi) 118.54/17.35 % (954926)Instruction limit reached! 118.54/17.35 % (954926)------------------------------ 118.54/17.35 % (954926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 118.54/17.35 % (954926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 118.54/17.35 % (954926)CaDiCaL version: 2.1.3 118.54/17.35 % (954926)Termination reason: Instruction limit 118.54/17.35 % (954926)Termination phase: Saturation 118.54/17.35 % (954926)Time elapsed: 0.631 s 118.54/17.35 % (954926)Peak memory usage: 19 MB 118.54/17.35 % (954926)Instructions burned: 1325 (million) 118.54/17.35 % (954934)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3026448125:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_1654 on theBenchmark for (1654ds/112Mi) 118.54/17.35 % (954934)Instruction limit reached! 118.54/17.35 % (954934)------------------------------ 118.54/17.35 % (954934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 118.54/17.35 % (954934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 118.54/17.35 % (954934)CaDiCaL version: 2.1.3 118.54/17.35 % (954934)Termination reason: Instruction limit 118.54/17.35 % (954934)Termination phase: Function definition elimination 118.54/17.35 % (954934)Time elapsed: 0.047 s 127.61/18.63 % (954934)Peak memory usage: 12 MB 127.61/18.63 % (954934)Instructions burned: 113 (million) 127.61/18.63 % (954936)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3217888534:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1654 on theBenchmark for (1654ds/1144Mi) 127.61/18.63 % (954932)Instruction limit reached! 127.61/18.63 % (954932)------------------------------ 127.61/18.63 % (954932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 127.61/18.63 % (954932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 127.61/18.63 % (954932)CaDiCaL version: 2.1.3 127.61/18.63 % (954932)Termination reason: Instruction limit 127.61/18.63 % (954932)Termination phase: Saturation 127.61/18.63 % (954932)Time elapsed: 0.524 s 127.61/18.63 % (954932)Peak memory usage: 18 MB 127.61/18.63 % (954932)Instructions burned: 984 (million) 127.61/18.63 % (954938)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=4042787309:i=1352:add=off:kws=frequency:rtra=on:ntd=on_1653 on theBenchmark for (1653ds/1352Mi) 127.61/18.63 % (954938)Refutation not found, incomplete strategy 127.61/18.63 % (954938)------------------------------ 127.61/18.63 % (954938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 127.61/18.63 % (954938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 127.61/18.63 % (954938)CaDiCaL version: 2.1.3 127.61/18.63 % (954938)Termination reason: Refutation not found, incomplete strategy 127.61/18.63 % (954938)Time elapsed: 0.186 s 127.61/18.63 % (954938)Peak memory usage: 15 MB 127.61/18.63 % (954938)Instructions burned: 451 (million) 127.61/18.63 % (954938)------------------------------ 127.61/18.63 % (954938)------------------------------ 127.61/18.63 % (954940)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=1239795683:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_1651 on theBenchmark for (1651ds/693Mi) 127.61/18.63 % (954940)Instruction limit reached! 127.61/18.63 % (954940)------------------------------ 127.61/18.63 % (954940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 127.61/18.63 % (954940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 127.61/18.63 % (954940)CaDiCaL version: 2.1.3 127.61/18.63 % (954940)Termination reason: Instruction limit 127.61/18.63 % (954940)Termination phase: Saturation 127.61/18.63 % (954940)Time elapsed: 0.303 s 127.61/18.63 % (954940)Peak memory usage: 21 MB 127.61/18.63 % (954940)Instructions burned: 694 (million) 127.61/18.63 % (954942)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=2021128636:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_1648 on theBenchmark for (1648ds/908Mi) 127.61/18.63 % (954936)Instruction limit reached! 127.61/18.63 % (954936)------------------------------ 127.61/18.63 % (954936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 127.61/18.63 % (954936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 127.61/18.63 % (954936)CaDiCaL version: 2.1.3 127.61/18.63 % (954936)Termination reason: Instruction limit 127.61/18.63 % (954936)Termination phase: Saturation 127.61/18.63 % (954936)Time elapsed: 0.596 s 127.61/18.63 % (954936)Peak memory usage: 23 MB 127.61/18.63 % (954936)Instructions burned: 1145 (million) 127.61/18.63 % (954944)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=719998050:i=6901:add=on:slsql=off:rtra=on:ntd=on_1648 on theBenchmark for (1648ds/6901Mi) 127.61/18.63 % (954942)Instruction limit reached! 127.61/18.63 % (954942)------------------------------ 127.61/18.63 % (954942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 127.61/18.63 % (954942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 127.61/18.63 % (954942)CaDiCaL version: 2.1.3 127.61/18.63 % (954942)Termination reason: Instruction limit 127.61/18.63 % (954942)Termination phase: Saturation 127.61/18.63 % (954942)Time elapsed: 0.426 s 127.61/18.63 % (954942)Peak memory usage: 17 MB 127.61/18.63 % (954942)Instructions burned: 909 (million) 127.61/18.63 % (954946)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1844813010:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_1644 on theBenchmark for (1644ds/3621Mi) 127.61/18.63 % (954930)Instruction limit reached! 127.61/18.63 % (954930)------------------------------ 132.14/19.62 % (954930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 132.14/19.62 % (954930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 132.14/19.62 % (954930)CaDiCaL version: 2.1.3 132.14/19.62 % (954930)Termination reason: Instruction limit 132.14/19.62 % (954930)Termination phase: Saturation 132.14/19.62 % (954930)Time elapsed: 2.152 s 132.14/19.62 % (954930)Peak memory usage: 41 MB 132.14/19.62 % (954930)Instructions burned: 4073 (million) 132.14/19.62 % (954948)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2856405712:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_1639 on theBenchmark for (1639ds/1160Mi) 132.14/19.62 % (954928)Instruction limit reached! 132.14/19.62 % (954928)------------------------------ 132.14/19.62 % (954928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 132.14/19.62 % (954928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 132.14/19.62 % (954928)CaDiCaL version: 2.1.3 132.14/19.62 % (954928)Termination reason: Instruction limit 132.14/19.62 % (954928)Termination phase: Saturation 132.14/19.62 % (954928)Time elapsed: 2.761 s 132.14/19.62 % (954928)Peak memory usage: 32 MB 132.14/19.62 % (954928)Instructions burned: 5403 (million) 132.14/19.62 % (954950)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=263821391:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_1633 on theBenchmark for (1633ds/570Mi) 132.14/19.62 % (954872)Instruction limit reached! 132.14/19.62 % (954872)------------------------------ 132.14/19.62 % (954872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 132.14/19.62 % (954872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 132.14/19.62 % (954872)CaDiCaL version: 2.1.3 132.14/19.62 % (954872)Termination reason: Instruction limit 132.14/19.62 % (954872)Termination phase: Saturation 132.14/19.62 % (954872)Time elapsed: 6.427 s 132.14/19.62 % (954872)Peak memory usage: 47 MB 132.14/19.62 % (954872)Instructions burned: 13534 (million) 132.14/19.62 % (954948)Instruction limit reached! 132.14/19.62 % (954948)------------------------------ 132.14/19.62 % (954948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 132.14/19.62 % (954948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 132.14/19.62 % (954948)CaDiCaL version: 2.1.3 132.14/19.62 % (954948)Termination reason: Instruction limit 132.14/19.62 % (954948)Termination phase: Saturation 132.14/19.62 % (954948)Time elapsed: 0.605 s 132.14/19.62 % (954948)Peak memory usage: 22 MB 132.14/19.62 % (954948)Instructions burned: 1161 (million) 132.14/19.62 % (954952)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2058646630:i=324:bd=all:ins=4:rtra=on_1632 on theBenchmark for (1632ds/324Mi) 132.14/19.62 % (954953)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=4051119078:s2a=on:i=5712:rtra=on_1632 on theBenchmark for (1632ds/5712Mi) 132.14/19.62 % (954952)Instruction limit reached! 132.14/19.62 % (954952)------------------------------ 132.14/19.62 % (954952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 132.14/19.62 % (954952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 132.14/19.62 % (954952)CaDiCaL version: 2.1.3 132.14/19.62 % (954952)Termination reason: Instruction limit 132.14/19.62 % (954952)Termination phase: Saturation 132.14/19.62 % (954952)Time elapsed: 0.135 s 132.14/19.62 % (954952)Peak memory usage: 18 MB 132.14/19.62 % (954952)Instructions burned: 325 (million) 132.14/19.62 % (954957)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on 132.14/19.62 % (954957)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on 132.14/19.62 % (954957)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=3695343850:i=901:rtra=on:fsd=on_1631 on theBenchmark for (1631ds/901Mi) 132.14/19.62 % (954950)Instruction limit reached! 132.14/19.62 % (954950)------------------------------ 132.14/19.62 % (954950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 132.14/19.62 % (954950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 139.30/20.22 % (954950)CaDiCaL version: 2.1.3 139.30/20.22 % (954950)Termination reason: Instruction limit 139.30/20.22 % (954950)Termination phase: Saturation 139.30/20.22 % (954950)Time elapsed: 0.227 s 139.30/20.22 % (954950)Peak memory usage: 15 MB 139.30/20.22 % (954950)Instructions burned: 570 (million) 139.30/20.22 % (954959)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3469191810:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_1630 on theBenchmark for (1630ds/2961Mi) 139.30/20.22 % (954957)Instruction limit reached! 139.30/20.22 % (954957)------------------------------ 139.30/20.22 % (954957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 139.30/20.22 % (954957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 139.30/20.22 % (954957)CaDiCaL version: 2.1.3 139.30/20.22 % (954957)Termination reason: Instruction limit 139.30/20.22 % (954957)Termination phase: Saturation 139.30/20.22 % (954957)Time elapsed: 0.411 s 139.30/20.22 % (954957)Peak memory usage: 21 MB 139.30/20.22 % (954957)Instructions burned: 902 (million) 139.30/20.22 % (954902)Instruction limit reached! 139.30/20.22 % (954902)------------------------------ 139.30/20.22 % (954902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 139.30/20.22 % (954902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 139.30/20.22 % (954902)CaDiCaL version: 2.1.3 139.30/20.22 % (954902)Termination reason: Instruction limit 139.30/20.22 % (954902)Termination phase: Saturation 139.30/20.22 % (954902)Time elapsed: 5.034 s 139.30/20.22 % (954902)Peak memory usage: 78 MB 139.30/20.22 % (954902)Instructions burned: 17242 (million) 139.30/20.22 % (954961)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2814850169:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_1627 on theBenchmark for (1627ds/3526Mi) 139.30/20.22 % (954962)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=2435869973:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_1626 on theBenchmark for (1626ds/3368Mi) 139.30/20.22 % (954946)Instruction limit reached! 139.30/20.22 % (954946)------------------------------ 139.30/20.22 % (954946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 139.30/20.22 % (954946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 139.30/20.22 % (954946)CaDiCaL version: 2.1.3 139.30/20.22 % (954946)Termination reason: Instruction limit 139.30/20.22 % (954946)Termination phase: Saturation 139.30/20.22 % (954946)Time elapsed: 1.723 s 139.30/20.22 % (954946)Peak memory usage: 25 MB 139.30/20.22 % (954946)Instructions burned: 3621 (million) 139.30/20.22 % (954965)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=3755543858:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_1626 on theBenchmark for (1626ds/20626Mi) 139.30/20.22 % (954944)Instruction limit reached! 139.30/20.22 % (954944)------------------------------ 139.30/20.22 % (954944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 139.30/20.22 % (954944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 139.30/20.22 % (954944)CaDiCaL version: 2.1.3 139.30/20.22 % (954944)Termination reason: Instruction limit 139.30/20.22 % (954944)Termination phase: Saturation 139.30/20.22 % (954944)Time elapsed: 2.571 s 139.30/20.22 % (954944)Peak memory usage: 29 MB 139.30/20.22 % (954944)Instructions burned: 6904 (million) 139.30/20.22 % (954967)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3243850974:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_1622 on theBenchmark for (1622ds/27154Mi) 139.30/20.22 % (954962)Instruction limit reached! 139.30/20.22 % (954962)------------------------------ 139.30/20.22 % (954962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 139.30/20.22 % (954962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 139.30/20.22 % (954962)CaDiCaL version: 2.1.3 139.30/20.22 % (954962)Termination reason: Instruction limit 139.30/20.22 % (954962)Termination phase: Saturation 139.30/20.22 % (954962)Time elapsed: 0.744 s 139.30/20.22 % (954962)Peak memory usage: 18 MB 139.30/20.22 % (954962)Instructions burned: 3371 (million) 139.30/20.22 % (954969)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3863220962:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_1619 on theBenchmark for (1619ds/515Mi) 139.30/20.22 % (954969)Instruction limit reached! 149.12/21.63 % (954969)------------------------------ 149.12/21.63 % (954969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 149.12/21.63 % (954969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 149.12/21.63 % (954969)CaDiCaL version: 2.1.3 149.12/21.63 % (954969)Termination reason: Instruction limit 149.12/21.63 % (954969)Termination phase: Saturation 149.12/21.63 % (954969)Time elapsed: 0.123 s 149.12/21.63 % (954969)Peak memory usage: 16 MB 149.12/21.63 % (954969)Instructions burned: 517 (million) 149.12/21.63 % (954971)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=369467922:s2a=on:i=2653:s2at=6:nm=2:rtra=on_1618 on theBenchmark for (1618ds/2653Mi) 149.12/21.63 % (954959)Instruction limit reached! 149.12/21.63 % (954959)------------------------------ 149.12/21.63 % (954959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 149.12/21.63 % (954959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 149.12/21.63 % (954959)CaDiCaL version: 2.1.3 149.12/21.63 % (954959)Termination reason: Instruction limit 149.12/21.63 % (954959)Termination phase: Saturation 149.12/21.63 % (954959)Time elapsed: 1.358 s 149.12/21.63 % (954959)Peak memory usage: 20 MB 149.12/21.63 % (954959)Instructions burned: 2963 (million) 149.12/21.63 % (954973)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 149.12/21.63 % (954973)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=2069142433:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_1617 on theBenchmark for (1617ds/1297Mi) 149.12/21.63 % (954971)Instruction limit reached! 149.12/21.63 % (954971)------------------------------ 149.12/21.63 % (954971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 149.12/21.63 % (954971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 149.12/21.63 % (954971)CaDiCaL version: 2.1.3 149.12/21.63 % (954971)Termination reason: Instruction limit 149.12/21.63 % (954971)Termination phase: Saturation 149.12/21.63 % (954971)Time elapsed: 0.653 s 149.12/21.63 % (954971)Peak memory usage: 28 MB 149.12/21.63 % (954971)Instructions burned: 2656 (million) 149.12/21.63 % (954975)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=931546364:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_1611 on theBenchmark for (1611ds/1950Mi) 149.12/21.63 % (954973)Instruction limit reached! 149.12/21.63 % (954973)------------------------------ 149.12/21.63 % (954973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 149.12/21.63 % (954973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 149.12/21.63 % (954973)CaDiCaL version: 2.1.3 149.12/21.63 % (954973)Termination reason: Instruction limit 149.12/21.63 % (954973)Termination phase: Saturation 149.12/21.63 % (954973)Time elapsed: 0.581 s 149.12/21.63 % (954973)Peak memory usage: 18 MB 149.12/21.63 % (954973)Instructions burned: 1297 (million) 149.12/21.63 % (954977)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=126770997:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_1611 on theBenchmark for (1611ds/2818Mi) 149.12/21.63 % (954953)Instruction limit reached! 149.12/21.63 % (954953)------------------------------ 149.12/21.63 % (954953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 149.12/21.63 % (954953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 149.12/21.63 % (954953)CaDiCaL version: 2.1.3 149.12/21.63 % (954953)Termination reason: Instruction limit 149.12/21.63 % (954953)Termination phase: Saturation 149.12/21.63 % (954953)Time elapsed: 2.422 s 149.12/21.63 % (954953)Peak memory usage: 23 MB 149.12/21.63 % (954953)Instructions burned: 5712 (million) 149.12/21.63 % (954979)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=3877421626:s2a=on:i=573:rtra=on:gsp=on_1608 on theBenchmark for (1608ds/573Mi) 149.12/21.63 % (954961)Instruction limit reached! 149.12/21.63 % (954961)------------------------------ 149.12/21.63 % (954961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 149.12/21.63 % (954961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 163.99/23.73 % (954961)CaDiCaL version: 2.1.3 163.99/23.73 % (954961)Termination reason: Instruction limit 163.99/23.73 % (954961)Termination phase: Saturation 163.99/23.73 % (954961)Time elapsed: 1.870 s 163.99/23.73 % (954961)Peak memory usage: 38 MB 163.99/23.73 % (954961)Instructions burned: 3527 (million) 163.99/23.73 % (954981)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=3753633081:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_1608 on theBenchmark for (1608ds/9598Mi) 163.99/23.73 % (954979)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 163.99/23.73 % (954975)Instruction limit reached! 163.99/23.73 % (954975)------------------------------ 163.99/23.73 % (954975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 163.99/23.73 % (954975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 163.99/23.73 % (954975)CaDiCaL version: 2.1.3 163.99/23.73 % (954975)Termination reason: Instruction limit 163.99/23.73 % (954975)Termination phase: Saturation 163.99/23.73 % (954975)Time elapsed: 0.490 s 163.99/23.73 % (954975)Peak memory usage: 28 MB 163.99/23.73 % (954975)Instructions burned: 1950 (million) 163.99/23.73 % (954983)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on 163.99/23.73 % (954983)ott+1002_16_sil=128000:si=on:random_seed=2679499672:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_1606 on theBenchmark for (1606ds/409Mi) 163.99/23.73 % (954979)Instruction limit reached! 163.99/23.73 % (954979)------------------------------ 163.99/23.73 % (954979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 163.99/23.73 % (954979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 163.99/23.73 % (954979)CaDiCaL version: 2.1.3 163.99/23.73 % (954979)Termination reason: Instruction limit 163.99/23.73 % (954979)Termination phase: Saturation 163.99/23.73 % (954979)Time elapsed: 0.251 s 163.99/23.73 % (954979)Peak memory usage: 23 MB 163.99/23.73 % (954979)Instructions burned: 576 (million) 163.99/23.73 % (954985)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=4275951051:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_1605 on theBenchmark for (1605ds/403Mi) 163.99/23.73 % (954983)Instruction limit reached! 163.99/23.73 % (954983)------------------------------ 163.99/23.73 % (954983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 163.99/23.73 % (954983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 163.99/23.73 % (954983)CaDiCaL version: 2.1.3 163.99/23.73 % (954983)Termination reason: Instruction limit 163.99/23.73 % (954983)Termination phase: Saturation 163.99/23.73 % (954983)Time elapsed: 0.097 s 163.99/23.73 % (954983)Peak memory usage: 16 MB 163.99/23.73 % (954983)Instructions burned: 413 (million) 163.99/23.73 % (954987)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1840915838:cond=on:i=1140:rtra=on:ntd=on_1605 on theBenchmark for (1605ds/1140Mi) 163.99/23.73 % (954985)Instruction limit reached! 163.99/23.73 % (954985)------------------------------ 163.99/23.73 % (954985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 163.99/23.73 % (954985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 163.99/23.73 % (954985)CaDiCaL version: 2.1.3 163.99/23.73 % (954985)Termination reason: Instruction limit 163.99/23.73 % (954985)Termination phase: Saturation 163.99/23.73 % (954985)Time elapsed: 0.192 s 163.99/23.73 % (954985)Peak memory usage: 17 MB 163.99/23.73 % (954985)Instructions burned: 404 (million) 163.99/23.73 % (954989)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2219044802:i=13574:kws=inv_precedence:rtra=on_1603 on theBenchmark for (1603ds/13574Mi) 163.99/23.73 % (954987)Instruction limit reached! 163.99/23.73 % (954987)------------------------------ 163.99/23.73 % (954987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 163.99/23.73 % (954987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 163.99/23.73 % (954987)CaDiCaL version: 2.1.3 163.99/23.73 % (954987)Termination reason: Instruction limit 163.99/23.73 % (954987)Termination phase: Saturation 163.99/23.73 % (954987)Time elapsed: 0.285 s 163.99/23.73 % (954987)Peak memory usage: 22 MB 163.99/23.73 % (954987)Instructions burned: 1142 (million) 163.99/23.73 % (954991)lrs+10_2:1_si=on:random_seed=1991416789:s2a=on:i=1055:rtra=on:fe=abstraction_1602 on theBenchmark for (1602ds/1055Mi) 192.56/27.71 % (954991)Instruction limit reached! 192.56/27.71 % (954991)------------------------------ 192.56/27.71 % (954991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 192.56/27.71 % (954991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 192.56/27.71 % (954991)CaDiCaL version: 2.1.3 192.56/27.71 % (954991)Termination reason: Instruction limit 192.56/27.71 % (954991)Termination phase: Saturation 192.56/27.71 % (954991)Time elapsed: 0.265 s 192.56/27.71 % (954991)Peak memory usage: 19 MB 192.56/27.71 % (954991)Instructions burned: 1059 (million) 192.56/27.71 % (954993)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on 192.56/27.71 % (954993)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=50233655:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_1599 on theBenchmark for (1599ds/416Mi) 192.56/27.71 % (954993)Instruction limit reached! 192.56/27.71 % (954993)------------------------------ 192.56/27.71 % (954993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 192.56/27.71 % (954993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 192.56/27.71 % (954993)CaDiCaL version: 2.1.3 192.56/27.71 % (954993)Termination reason: Instruction limit 192.56/27.71 % (954993)Termination phase: Saturation 192.56/27.71 % (954993)Time elapsed: 0.089 s 192.56/27.71 % (954993)Peak memory usage: 18 MB 192.56/27.71 % (954993)Instructions burned: 420 (million) 192.56/27.71 % (954977)Instruction limit reached! 192.56/27.71 % (954977)------------------------------ 192.56/27.71 % (954977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 192.56/27.71 % (954977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 192.56/27.71 % (954977)CaDiCaL version: 2.1.3 192.56/27.71 % (954977)Termination reason: Instruction limit 192.56/27.71 % (954977)Termination phase: Saturation 192.56/27.71 % (954977)Time elapsed: 1.241 s 192.56/27.71 % (954977)Peak memory usage: 33 MB 192.56/27.71 % (954977)Instructions burned: 2820 (million) 192.56/27.71 % (954995)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=726861732:s2a=on:i=8946:bd=preordered:av=off:rtra=on_1598 on theBenchmark for (1598ds/8946Mi) 192.56/27.71 % (954996)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3776571820:s2a=on:i=2129:nm=16:rtra=on_1598 on theBenchmark for (1598ds/2129Mi) 192.56/27.71 % (954989)Refutation not found, incomplete strategy 192.56/27.71 % (954989)------------------------------ 192.56/27.71 % (954989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 192.56/27.71 % (954989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 192.56/27.71 % (954989)CaDiCaL version: 2.1.3 192.56/27.71 % (954989)Termination reason: Refutation not found, incomplete strategy 192.56/27.71 % (954989)Time elapsed: 1.123 s 192.56/27.71 % (954989)Peak memory usage: 15 MB 192.56/27.71 % (954989)Instructions burned: 2407 (million) 192.56/27.71 % (954989)------------------------------ 192.56/27.71 % (954989)------------------------------ 192.56/27.71 % (954999)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1482471353:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_1592 on theBenchmark for (1592ds/300Mi) 192.56/27.71 % (954999)Instruction limit reached! 192.56/27.71 % (954999)------------------------------ 192.56/27.71 % (954999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 192.56/27.71 % (954999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 192.56/27.71 % (954999)CaDiCaL version: 2.1.3 192.56/27.71 % (954999)Termination reason: Instruction limit 192.56/27.71 % (954999)Termination phase: Saturation 192.56/27.71 % (954999)Time elapsed: 0.138 s 192.56/27.71 % (954999)Peak memory usage: 16 MB 192.56/27.71 % (954999)Instructions burned: 301 (million) 192.56/27.71 % (955001)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=4178173096:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_1590 on theBenchmark for (1590ds/11464Mi) 192.56/27.71 % (954996)Instruction limit reached! 192.56/27.71 % (954996)------------------------------ 192.56/27.71 % (954996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 192.56/27.71 % (954996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 192.56/27.71 % (954996)CaDiCaL version: 2.1.3 203.66/31.08 % (954996)Termination reason: Instruction limit 203.66/31.08 % (954996)Termination phase: Saturation 203.66/31.08 % (954996)Time elapsed: 1.013 s 203.66/31.08 % (954996)Peak memory usage: 28 MB 203.66/31.08 % (954996)Instructions burned: 2130 (million) 203.66/31.08 % (955003)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=486811235:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_1588 on theBenchmark for (1588ds/11001Mi) 203.66/31.08 % (954995)Instruction limit reached! 203.66/31.08 % (954995)------------------------------ 203.66/31.08 % (954995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 203.66/31.08 % (954995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 203.66/31.08 % (954995)CaDiCaL version: 2.1.3 203.66/31.08 % (954995)Termination reason: Instruction limit 203.66/31.08 % (954995)Termination phase: Saturation 203.66/31.08 % (954995)Time elapsed: 2.182 s 203.66/31.08 % (954995)Peak memory usage: 34 MB 203.66/31.08 % (954995)Instructions burned: 8947 (million) 203.66/31.08 % (955005)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3367356567:hsq=on:i=662:rtra=on:ixr=off_1576 on theBenchmark for (1576ds/662Mi) 203.66/31.08 % (955005)Instruction limit reached! 203.66/31.08 % (955005)------------------------------ 203.66/31.08 % (955005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 203.66/31.08 % (955005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 203.66/31.08 % (955005)CaDiCaL version: 2.1.3 203.66/31.08 % (955005)Termination reason: Instruction limit 203.66/31.08 % (955005)Termination phase: Saturation 203.66/31.08 % (955005)Time elapsed: 0.156 s 203.66/31.08 % (955005)Peak memory usage: 21 MB 203.66/31.08 % (955005)Instructions burned: 663 (million) 203.66/31.08 % (955007)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2070599886:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_1574 on theBenchmark for (1574ds/1714Mi) 203.66/31.08 % (955007)Instruction limit reached! 203.66/31.08 % (955007)------------------------------ 203.66/31.08 % (955007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 203.66/31.08 % (955007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 203.66/31.08 % (955007)CaDiCaL version: 2.1.3 203.66/31.08 % (955007)Termination reason: Instruction limit 203.66/31.08 % (955007)Termination phase: Saturation 203.66/31.08 % (955007)Time elapsed: 0.408 s 203.66/31.08 % (955007)Peak memory usage: 25 MB 203.66/31.08 % (955007)Instructions burned: 1716 (million) 203.66/31.08 % (955009)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=148010086:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_1570 on theBenchmark for (1570ds/699Mi) 203.66/31.08 % (955009)Instruction limit reached! 203.66/31.08 % (955009)------------------------------ 203.66/31.08 % (955009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 203.66/31.08 % (955009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 203.66/31.08 % (955009)CaDiCaL version: 2.1.3 203.66/31.08 % (955009)Termination reason: Instruction limit 203.66/31.08 % (955009)Termination phase: Saturation 203.66/31.08 % (955009)Time elapsed: 0.160 s 203.66/31.08 % (955009)Peak memory usage: 16 MB 203.66/31.08 % (955009)Instructions burned: 701 (million) 203.66/31.08 % (955011)lrs+21_1_to=lpo:sil=128000:fde=none:e2e=on:si=on:lma=off:nwc=4:random_seed=2821864097:i=4542:bd=preordered:rtra=on:ss=axioms_1568 on theBenchmark for (1568ds/4542Mi) 203.66/31.08 % (954981)Instruction limit reached! 203.66/31.08 % (954981)------------------------------ 203.66/31.08 % (954981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 203.66/31.08 % (954981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 203.66/31.08 % (954981)CaDiCaL version: 2.1.3 203.66/31.08 % (954981)Termination reason: Instruction limit 203.66/31.08 % (954981)Termination phase: Saturation 203.66/31.08 % (954981)Time elapsed: 3.942 s 203.66/31.08 % (954981)Peak memory usage: 18 MB 203.66/31.08 % (954981)Instructions burned: 9599 (million) 203.66/31.08 % (955013)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2681665167:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_1568 on theBenchmark for (1568ds/280Mi) 203.66/31.08 % (955013)Instruction limit reached! 203.66/31.08 % (955013)------------------------------ 203.66/31.08 % (955013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 235.22/33.82 % (955013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 235.22/33.82 % (955013)CaDiCaL version: 2.1.3 235.22/33.82 % (955013)Termination reason: Instruction limit 235.22/33.82 % (955013)Termination phase: Saturation 235.22/33.82 % (955013)Time elapsed: 0.115 s 235.22/33.82 % (955013)Peak memory usage: 14 MB 235.22/33.82 % (955013)Instructions burned: 281 (million) 235.22/33.82 % (955015)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on 235.22/33.82 % (955015)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2504177416:i=13409:hud=10:nm=16:av=off:rtra=on:ntd=on_1567 on theBenchmark for (1567ds/13409Mi) 235.22/33.82 % (955011)Instruction limit reached! 235.22/33.82 % (955011)------------------------------ 235.22/33.82 % (955011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 235.22/33.82 % (955011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 235.22/33.82 % (955011)CaDiCaL version: 2.1.3 235.22/33.82 % (955011)Termination reason: Instruction limit 235.22/33.82 % (955011)Termination phase: Saturation 235.22/33.82 % (955011)Time elapsed: 1.248 s 235.22/33.82 % (955011)Peak memory usage: 44 MB 235.22/33.82 % (955011)Instructions burned: 4543 (million) 235.22/33.82 % (955017)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2429381708:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=26870:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_1556 on theBenchmark for (1556ds/26870Mi) 235.22/33.82 % (955003)Instruction limit reached! 235.22/33.82 % (955003)------------------------------ 235.22/33.82 % (955003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 235.22/33.82 % (955003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 235.22/33.82 % (955003)CaDiCaL version: 2.1.3 235.22/33.82 % (955003)Termination reason: Instruction limit 235.22/33.82 % (955003)Termination phase: Saturation 235.22/33.82 % (955003)Time elapsed: 3.590 s 235.22/33.82 % (955003)Peak memory usage: 31 MB 235.22/33.82 % (955003)Instructions burned: 11004 (million) 235.22/33.82 % (955019)dis+21_16:1_to=lpo:drc=off:cnfonf=lazy_not_be_gen:si=on:sp=const_min:lma=off:urr=on:uwa=hol:nwc=20:s2agt=4:random_seed=3318389408:uwa_fpi=on:s2a=on:i=21001:s2at=3:piset=or:hud=15:rtra=on:fe=abstraction_1551 on theBenchmark for (1551ds/21001Mi) 235.22/33.82 % (955001)Instruction limit reached! 235.22/33.82 % (955001)------------------------------ 235.22/33.82 % (955001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 235.22/33.82 % (955001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 235.22/33.82 % (955001)CaDiCaL version: 2.1.3 235.22/33.82 % (955001)Termination reason: Instruction limit 235.22/33.82 % (955001)Termination phase: Saturation 235.22/33.82 % (955001)Time elapsed: 4.548 s 235.22/33.82 % (955001)Peak memory usage: 34 MB 235.22/33.82 % (955001)Instructions burned: 11464 (million) 235.22/33.82 % (955021)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=618182913:hsq=on:hsqr=16,1:s2a=on:i=46928:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1544 on theBenchmark for (1544ds/46928Mi) 235.22/33.82 % (954916)Instruction limit reached! 235.22/33.82 % (954916)------------------------------ 235.22/33.82 % (954916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 235.22/33.82 % (954916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 235.22/33.82 % (954916)CaDiCaL version: 2.1.3 235.22/33.82 % (954916)Termination reason: Instruction limit 235.22/33.82 % (954916)Termination phase: Saturation 235.22/33.82 % (954916)Time elapsed: 12.897 s 235.22/33.82 % (954916)Peak memory usage: 65 MB 235.22/33.82 % (954916)Instructions burned: 28911 (million) 235.22/33.82 % (955162)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=4142128082:hsq=on:hsqr=16,1:s2a=on:i=18590:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_1538 on theBenchmark for (1538ds/18590Mi) 235.22/33.82 % (954965)Instruction limit reached! 235.22/33.82 % (954965)------------------------------ 235.22/33.82 % (954965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 242.93/35.01 % (954965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 242.93/35.01 % (954965)CaDiCaL version: 2.1.3 242.93/35.01 % (954965)Termination reason: Instruction limit 242.93/35.01 % (954965)Termination phase: Saturation 242.93/35.01 % (954965)Time elapsed: 9.917 s 242.93/35.01 % (954965)Peak memory usage: 97 MB 242.93/35.01 % (954965)Instructions burned: 20627 (million) 242.93/35.01 % (955185)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=1048016743:i=6157:fsr=off:rtra=on:ixr=off_1527 on theBenchmark for (1527ds/6157Mi) 242.93/35.01 % (955015)Instruction limit reached! 242.93/35.01 % (955015)------------------------------ 242.93/35.01 % (955015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 242.93/35.01 % (955015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 242.93/35.01 % (955015)CaDiCaL version: 2.1.3 242.93/35.01 % (955015)Termination reason: Instruction limit 242.93/35.01 % (955015)Termination phase: Saturation 242.93/35.01 % (955015)Time elapsed: 6.041 s 242.93/35.01 % (955015)Peak memory usage: 18 MB 242.93/35.01 % (955015)Instructions burned: 13410 (million) 242.93/35.01 % (955402)ott+1011_28_anc=all_dependent:cnfonf=lazy_gen:si=on:fdtod=off:sp=reverse_frequency:uwa=one_side_interpreted:fd=preordered:nwc=1:random_seed=2499308760:i=5804:kws=arity_squared:bd=all:rtra=on:ntd=on_1506 on theBenchmark for (1506ds/5804Mi) 242.93/35.01 % (955017)Instruction limit reached! 242.93/35.01 % (955017)------------------------------ 242.93/35.01 % (955017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 242.93/35.01 % (955017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 242.93/35.01 % (955017)CaDiCaL version: 2.1.3 242.93/35.01 % (955017)Termination reason: Instruction limit 242.93/35.01 % (955017)Termination phase: Saturation 242.93/35.01 % (955017)Time elapsed: 5.016 s 242.93/35.01 % (955017)Peak memory usage: 32 MB 242.93/35.01 % (955017)Instructions burned: 26874 (million) 242.93/35.01 % (955409)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100 242.93/35.01 % (955409)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3512208675:lrd=on:st=3:i=23647:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_1505 on theBenchmark for (1505ds/23647Mi) 242.93/35.01 % (955402)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use 242.93/35.01 % (955185)Instruction limit reached! 242.93/35.01 % (955185)------------------------------ 242.93/35.01 % (955185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 242.93/35.01 % (955185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 242.93/35.01 % (955185)CaDiCaL version: 2.1.3 242.93/35.01 % (955185)Termination reason: Instruction limit 242.93/35.01 % (955185)Termination phase: Saturation 242.93/35.01 % (955185)Time elapsed: 2.910 s 242.93/35.01 % (955185)Peak memory usage: 33 MB 242.93/35.01 % (955185)Instructions burned: 6157 (million) 242.93/35.01 % (955419)WARNING Broken Constraint: if sine_to_age_generality_threshold(128) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 242.93/35.01 % (955419)WARNING Broken Constraint: if ho_split_queue_appvar_weight(0) has been set then ho_split_queue(off) is equal to on 242.93/35.01 % (955419)dis+1010_1024_sil=128000:fde=unused:cnfonf=lazy_simp:si=on:fdtod=off:spb=units:uwa=one_side_interpreted:rp=on:s2agt=128:random_seed=3689680787:i=8914:sd=1:kws=arity:hsqaw=0:rtra=on:ss=axioms:sgt=16_1497 on theBenchmark for (1497ds/8914Mi) 242.93/35.01 % (954967)Instruction limit reached! 242.93/35.01 % (954967)------------------------------ 242.93/35.01 % (954967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 242.93/35.01 % (954967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 242.93/35.01 % (954967)CaDiCaL version: 2.1.3 242.93/35.01 % (954967)Termination reason: Instruction limit 242.93/35.01 % (954967)Termination phase: Saturation 242.93/35.01 % (954967)Time elapsed: 12.818 s 242.93/35.01 % (954967)Peak memory usage: 21 MB 242.93/35.01 % (954967)Instructions burned: 27156 (million) 242.93/35.01 % (955421)WARNING Broken Constraint: if ho_split_queue_cutoffs(30) has been set then ho_split_queue(off) is equal to on 242.93/35.01 % (955421)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 259.82/37.20 % (955421)WARNING Broken Constraint: if ho_split_queue_ratios(7,1) has been set then ho_split_queue(off) is equal to on 259.82/37.20 % (955421)WARNING Broken Constraint: if sine_to_age_tolerance(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 259.82/37.20 % (955421)WARNING Broken Constraint: if ho_split_queue_appvar_weight(4) has been set then ho_split_queue(off) is equal to on 259.82/37.20 % (955421)ott-1010_5_sil=128000:tgt=full:hsqc=30:si=on:sp=occurrence:uwa=off:nwc=1:s2agt=16:random_seed=933474474:hsqr=7,1:cond=on:i=7920:s2at=10:kws=inv_precedence:hsqaw=4:fgj=on:bd=preordered:av=off:rtra=on_1493 on theBenchmark for (1493ds/7920Mi) 259.82/37.20 % (955402)Instruction limit reached! 259.82/37.20 % (955402)------------------------------ 259.82/37.20 % (955402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 259.82/37.20 % (955402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 259.82/37.20 % (955402)CaDiCaL version: 2.1.3 259.82/37.20 % (955402)Termination reason: Instruction limit 259.82/37.20 % (955402)Termination phase: Saturation 259.82/37.20 % (955402)Time elapsed: 2.563 s 259.82/37.20 % (955402)Peak memory usage: 32 MB 259.82/37.20 % (955402)Instructions burned: 5807 (million) 259.82/37.20 % (955423)WARNING Broken Constraint: if sine_to_age_tolerance(4) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 259.82/37.20 % (955423)ott+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=on:lma=off:uwa=off:random_seed=1735789630:i=1628:s2at=4:bd=preordered:fsr=off:rtra=on:amm=off:fe=abstraction_1480 on theBenchmark for (1480ds/1628Mi) 259.82/37.20 % (955423)Instruction limit reached! 259.82/37.20 % (955423)------------------------------ 259.82/37.20 % (955423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 259.82/37.20 % (955423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 259.82/37.20 % (955423)CaDiCaL version: 2.1.3 259.82/37.20 % (955423)Termination reason: Instruction limit 259.82/37.20 % (955423)Termination phase: Saturation 259.82/37.20 % (955423)Time elapsed: 0.780 s 259.82/37.20 % (955423)Peak memory usage: 20 MB 259.82/37.20 % (955423)Instructions burned: 1630 (million) 259.82/37.20 % (955425)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=553921377:avsq=on:i=1806:rtra=on_1472 on theBenchmark for (1472ds/1806Mi) 259.82/37.20 % (955019)Instruction limit reached! 259.82/37.20 % (955019)------------------------------ 259.82/37.20 % (955019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 259.82/37.20 % (955019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 259.82/37.20 % (955019)CaDiCaL version: 2.1.3 259.82/37.20 % (955019)Termination reason: Instruction limit 259.82/37.20 % (955019)Termination phase: Saturation 259.82/37.20 % (955019)Time elapsed: 8.174 s 259.82/37.20 % (955019)Peak memory usage: 100 MB 259.82/37.20 % (955019)Instructions burned: 21003 (million) 259.82/37.20 % (955427)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3801127429:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_1469 on theBenchmark for (1469ds/715Mi) 259.82/37.20 % (955427)Instruction limit reached! 259.82/37.20 % (955427)------------------------------ 259.82/37.20 % (955427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 259.82/37.20 % (955427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 259.82/37.20 % (955427)CaDiCaL version: 2.1.3 259.82/37.20 % (955427)Termination reason: Instruction limit 259.82/37.20 % (955427)Termination phase: Saturation 259.82/37.20 % (955427)Time elapsed: 0.322 s 259.82/37.20 % (955427)Peak memory usage: 17 MB 259.82/37.20 % (955427)Instructions burned: 715 (million) 259.82/37.20 % (955429)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1260947403:s2a=on:i=59443:sd=1:rtra=on:ss=axioms:sgt=128_1466 on theBenchmark for (1466ds/59443Mi) 259.82/37.20 % (955419)Instruction limit reached! 259.82/37.20 % (955419)------------------------------ 259.82/37.20 % (955419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 259.82/37.20 % (955419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 259.82/37.20 % (955419)CaDiCaL version: 2.1.3 270.38/38.79 % (955419)Termination reason: Instruction limit 270.38/38.79 % (955419)Termination phase: Saturation 270.38/38.79 % (955419)Time elapsed: 3.148 s 270.38/38.79 % (955419)Peak memory usage: 26 MB 270.38/38.79 % (955419)Instructions burned: 8918 (million) 270.38/38.79 % (955431)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=3622781197:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_1466 on theBenchmark for (1466ds/414Mi) 270.38/38.79 % (955425)Instruction limit reached! 270.38/38.79 % (955425)------------------------------ 270.38/38.79 % (955425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 270.38/38.79 % (955425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 270.38/38.79 % (955425)CaDiCaL version: 2.1.3 270.38/38.79 % (955425)Termination reason: Instruction limit 270.38/38.79 % (955425)Termination phase: Saturation 270.38/38.79 % (955425)Time elapsed: 0.840 s 270.38/38.79 % (955425)Peak memory usage: 18 MB 270.38/38.79 % (955425)Instructions burned: 1807 (million) 270.38/38.79 % (955431)Instruction limit reached! 270.38/38.79 % (955431)------------------------------ 270.38/38.79 % (955431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 270.38/38.79 % (955431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 270.38/38.79 % (955431)CaDiCaL version: 2.1.3 270.38/38.79 % (955431)Termination reason: Instruction limit 270.38/38.79 % (955431)Termination phase: Saturation 270.38/38.79 % (955431)Time elapsed: 0.203 s 270.38/38.79 % (955431)Peak memory usage: 17 MB 270.38/38.79 % (955431)Instructions burned: 415 (million) 270.38/38.79 % (955433)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs 270.38/38.79 % (955433)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2046498561:lrd=on:i=508:nm=0:rtra=on_1463 on theBenchmark for (1463ds/508Mi) 270.38/38.79 % (955434)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=881280642:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_1463 on theBenchmark for (1463ds/1324Mi) 270.38/38.79 % (955433)Instruction limit reached! 270.38/38.79 % (955433)------------------------------ 270.38/38.79 % (955433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 270.38/38.79 % (955433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 270.38/38.79 % (955433)CaDiCaL version: 2.1.3 270.38/38.79 % (955433)Termination reason: Instruction limit 270.38/38.79 % (955433)Termination phase: Saturation 270.38/38.79 % (955433)Time elapsed: 0.219 s 270.38/38.79 % (955433)Peak memory usage: 20 MB 270.38/38.79 % (955433)Instructions burned: 509 (million) 270.38/38.79 % (955437)lrs+21_1_sil=128000:plsq=on:drc=off:plsqc=3:si=on:sp=weighted_frequency:lma=off:plsqr=140,31:lcm=reverse:uwa=one_side_interpreted:lwlo=on:random_seed=1088528662:i=9105:kws=inv_precedence:piset=and:rtra=on:ss=included:ntd=on_1461 on theBenchmark for (1461ds/9105Mi) 270.38/38.79 % (955434)Instruction limit reached! 270.38/38.79 % (955434)------------------------------ 270.38/38.79 % (955434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 270.38/38.79 % (955434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 270.38/38.79 % (955434)CaDiCaL version: 2.1.3 270.38/38.79 % (955434)Termination reason: Instruction limit 270.38/38.79 % (955434)Termination phase: Saturation 270.38/38.79 % (955434)Time elapsed: 0.689 s 270.38/38.79 % (955434)Peak memory usage: 20 MB 270.38/38.79 % (955434)Instructions burned: 1324 (million) 270.38/38.79 % (955439)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3676987724:hsq=on:i=924:hsqaw=5:rtra=on:fe=abstraction:ntd=on_1456 on theBenchmark for (1456ds/924Mi) 270.38/38.79 % (955421)Instruction limit reached! 270.38/38.79 % (955421)------------------------------ 270.38/38.79 % (955421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 270.38/38.79 % (955421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 270.38/38.79 % (955421)CaDiCaL version: 2.1.3 270.38/38.79 % (955421)Termination reason: Instruction limit 270.38/38.79 % (955421)Termination phase: Saturation 270.38/38.79 % (955421)Time elapsed: 3.910 s 270.38/38.79 % (955421)Peak memory usage: 38 MB 270.38/38.79 % (955421)Instructions burned: 7922 (million) 270.38/38.79 % (955441)dis+1002_64_sil=128000:si=on:slsq=on:random_seed=538689912:uwa_fpi=on:i=10717:nm=16:rtra=on:bet=on:fe=axiom:ntd=on_1454 on theBenchmark for (1454ds/10717Mi) 288.22/41.29 % (955439)Instruction limit reached! 288.22/41.29 % (955439)------------------------------ 288.22/41.29 % (955439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 288.22/41.29 % (955439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 288.22/41.29 % (955439)CaDiCaL version: 2.1.3 288.22/41.29 % (955439)Termination reason: Instruction limit 288.22/41.29 % (955439)Termination phase: Saturation 288.22/41.29 % (955439)Time elapsed: 0.488 s 288.22/41.29 % (955439)Peak memory usage: 18 MB 288.22/41.29 % (955439)Instructions burned: 926 (million) 288.22/41.29 % (955409)Instruction limit reached! 288.22/41.29 % (955409)------------------------------ 288.22/41.29 % (955409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 288.22/41.29 % (955409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 288.22/41.29 % (955409)CaDiCaL version: 2.1.3 288.22/41.29 % (955409)Termination reason: Instruction limit 288.22/41.29 % (955409)Termination phase: Saturation 288.22/41.29 % (955409)Time elapsed: 5.428 s 288.22/41.29 % (955409)Peak memory usage: 146 MB 288.22/41.29 % (955409)Instructions burned: 23648 (million) 288.22/41.29 % (955443)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3328074103:i=3245:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_1451 on theBenchmark for (1451ds/3245Mi) 288.22/41.29 % (955444)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3815534917:i=6852:sd=2:nm=16:rtra=on:ss=axioms_1451 on theBenchmark for (1451ds/6852Mi) 288.22/41.29 % (955162)Instruction limit reached! 288.22/41.29 % (955162)------------------------------ 288.22/41.29 % (955162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 288.22/41.29 % (955162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 288.22/41.29 % (955162)CaDiCaL version: 2.1.3 288.22/41.29 % (955162)Termination reason: Instruction limit 288.22/41.29 % (955162)Termination phase: Saturation 288.22/41.29 % (955162)Time elapsed: 9.862 s 288.22/41.29 % (955162)Peak memory usage: 118 MB 288.22/41.29 % (955162)Instructions burned: 18591 (million) 288.22/41.29 % (955447)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3574694981:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1439 on theBenchmark for (1439ds/1144Mi) 288.22/41.29 % (955447)Instruction limit reached! 288.22/41.29 % (955447)------------------------------ 288.22/41.29 % (955447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 288.22/41.29 % (955447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 288.22/41.29 % (955447)CaDiCaL version: 2.1.3 288.22/41.29 % (955447)Termination reason: Instruction limit 288.22/41.29 % (955447)Termination phase: Saturation 288.22/41.29 % (955447)Time elapsed: 0.581 s 288.22/41.29 % (955447)Peak memory usage: 23 MB 288.22/41.29 % (955447)Instructions burned: 1145 (million) 288.22/41.29 % (955449)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=669404321:i=1352:add=off:kws=frequency:rtra=on:ntd=on_1433 on theBenchmark for (1433ds/1352Mi) 288.22/41.29 % (955443)Instruction limit reached! 288.22/41.29 % (955443)------------------------------ 288.22/41.29 % (955443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 288.22/41.29 % (955443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 288.22/41.29 % (955443)CaDiCaL version: 2.1.3 288.22/41.29 % (955443)Termination reason: Instruction limit 288.22/41.29 % (955443)Termination phase: Saturation 288.22/41.29 % (955443)Time elapsed: 1.885 s 288.22/41.29 % (955443)Peak memory usage: 42 MB 288.22/41.29 % (955443)Instructions burned: 3247 (million) 288.22/41.29 % (955444)Instruction limit reached! 288.22/41.29 % (955444)------------------------------ 288.22/41.29 % (955444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 288.22/41.29 % (955444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 288.22/41.29 % (955444)CaDiCaL version: 2.1.3 288.22/41.29 % (955444)Termination reason: Instruction limit 288.22/41.29 % (955444)Termination phase: Saturation 288.22/41.29 % (955444)Time elapsed: 1.902 s 288.22/41.29 % (955444)Peak memory usage: 41 MB 288.22/41.29 % (955444)Instructions burned: 6853 (million) 288.22/41.29 % (955451)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=1316300447:i=2535:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_1432 on theBenchmark for (1432ds/2535Mi) 310.10/44.40 % (955453)dis+1010_16_sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_max:lma=off:uwa=interpreted_only:random_seed=2975947103:i=11819:av=off:fsr=off:rtra=on:ixr=off_1432 on theBenchmark for (1432ds/11819Mi) 310.10/44.40 % (955449)Refutation not found, incomplete strategy 310.10/44.40 % (955449)------------------------------ 310.10/44.40 % (955449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 310.10/44.40 % (955449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 310.10/44.40 % (955449)CaDiCaL version: 2.1.3 310.10/44.40 % (955449)Termination reason: Refutation not found, incomplete strategy 310.10/44.40 % (955449)Time elapsed: 0.184 s 310.10/44.40 % (955449)Peak memory usage: 15 MB 310.10/44.40 % (955449)Instructions burned: 448 (million) 310.10/44.40 % (955449)------------------------------ 310.10/44.40 % (955449)------------------------------ 310.10/44.40 % (955455)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=3842485006:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_1431 on theBenchmark for (1431ds/908Mi) 310.10/44.40 % (955455)Instruction limit reached! 310.10/44.40 % (955455)------------------------------ 310.10/44.40 % (955455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 310.10/44.40 % (955455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 310.10/44.40 % (955455)CaDiCaL version: 2.1.3 310.10/44.40 % (955455)Termination reason: Instruction limit 310.10/44.40 % (955455)Termination phase: Saturation 310.10/44.40 % (955455)Time elapsed: 0.426 s 310.10/44.40 % (955455)Peak memory usage: 17 MB 310.10/44.40 % (955455)Instructions burned: 909 (million) 310.10/44.40 % (955457)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=3315028150:i=2395:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_1427 on theBenchmark for (1427ds/2395Mi) 310.10/44.40 % (955451)Instruction limit reached! 310.10/44.40 % (955451)------------------------------ 310.10/44.40 % (955451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 310.10/44.40 % (955451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 310.10/44.40 % (955451)CaDiCaL version: 2.1.3 310.10/44.40 % (955451)Termination reason: Instruction limit 310.10/44.40 % (955451)Termination phase: Saturation 310.10/44.40 % (955451)Time elapsed: 1.341 s 310.10/44.40 % (955451)Peak memory usage: 28 MB 310.10/44.40 % (955451)Instructions burned: 2537 (million) 310.10/44.40 % (955459)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on 310.10/44.40 % (955459)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on 310.10/44.40 % (955459)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=4166778913:i=432:rtra=on:fsd=on_1418 on theBenchmark for (1418ds/432Mi) 310.10/44.40 % (955457)Instruction limit reached! 310.10/44.40 % (955457)------------------------------ 310.10/44.40 % (955457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 310.10/44.40 % (955457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 310.10/44.40 % (955457)CaDiCaL version: 2.1.3 310.10/44.40 % (955457)Termination reason: Instruction limit 310.10/44.40 % (955457)Termination phase: Saturation 310.10/44.40 % (955457)Time elapsed: 0.899 s 310.10/44.40 % (955457)Peak memory usage: 18 MB 310.10/44.40 % (955457)Instructions burned: 2398 (million) 310.10/44.40 % (955461)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 310.10/44.40 % (955461)dis+1002_1024_sil=128000:tgt=ground:drc=off:fde=unused:cnfonf=lazy_gen:si=on:fd=off:foolp=on:nwc=0.5:random_seed=452664063:uwa_fpi=on:i=13442:s2at=5:add=on:aac=none:piset=all:hud=15:bd=preordered:ins=25:rtra=on:ss=axioms_1417 on theBenchmark for (1417ds/13442Mi) 310.10/44.40 % (955459)Instruction limit reached! 310.10/44.40 % (955459)------------------------------ 310.10/44.40 % (955459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 310.10/44.40 % (955459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 310.10/44.40 % (955459)CaDiCaL version: 2.1.3 356.81/51.02 % (955459)Termination reason: Instruction limit 356.81/51.02 % (955459)Termination phase: Saturation 356.81/51.02 % (955459)Time elapsed: 0.227 s 356.81/51.02 % (955459)Peak memory usage: 16 MB 356.81/51.02 % (955459)Instructions burned: 433 (million) 356.81/51.02 % (955463)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=926273220:i=4714:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_1416 on theBenchmark for (1416ds/4714Mi) 356.81/51.02 % (955437)Instruction limit reached! 356.81/51.02 % (955437)------------------------------ 356.81/51.02 % (955437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 356.81/51.02 % (955437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 356.81/51.02 % (955437)CaDiCaL version: 2.1.3 356.81/51.02 % (955437)Termination reason: Instruction limit 356.81/51.02 % (955437)Termination phase: Saturation 356.81/51.02 % (955437)Time elapsed: 4.624 s 356.81/51.02 % (955437)Peak memory usage: 33 MB 356.81/51.02 % (955437)Instructions burned: 9106 (million) 356.81/51.02 % (955465)dis+1002_1_si=on:fd=off:nwc=1:random_seed=179549442:st=2.5:i=2185:rtra=on:ss=axioms_1415 on theBenchmark for (1415ds/2185Mi) 356.81/51.02 % (955453)Instruction limit reached! 356.81/51.02 % (955453)------------------------------ 356.81/51.02 % (955453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 356.81/51.02 % (955453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 356.81/51.02 % (955453)CaDiCaL version: 2.1.3 356.81/51.02 % (955453)Termination reason: Instruction limit 356.81/51.02 % (955453)Termination phase: Saturation 356.81/51.02 % (955453)Time elapsed: 1.862 s 356.81/51.02 % (955453)Peak memory usage: 20 MB 356.81/51.02 % (955453)Instructions burned: 11820 (million) 356.81/51.02 % (955467)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on 356.81/51.02 % (955467)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on 356.81/51.02 % (955467)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 356.81/51.02 % (955467)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on 356.81/51.02 % (955467)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=610973319:hsqr=4,1:avsq=on:cond=on:i=9350:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_1413 on theBenchmark for (1413ds/9350Mi) 356.81/51.02 % (955441)Instruction limit reached! 356.81/51.02 % (955441)------------------------------ 356.81/51.02 % (955441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 356.81/51.02 % (955441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 356.81/51.02 % (955441)CaDiCaL version: 2.1.3 356.81/51.02 % (955441)Termination reason: Instruction limit 356.81/51.02 % (955441)Termination phase: Saturation 356.81/51.02 % (955441)Time elapsed: 4.749 s 356.81/51.02 % (955441)Peak memory usage: 28 MB 356.81/51.02 % (955441)Instructions burned: 10718 (million) 356.81/51.02 % (955469)lrs+1002_32:1_sil=128000:si=on:uwa=off:random_seed=1605312645:s2a=on:i=17612:s2at=3:bd=preordered:rtra=on_1406 on theBenchmark for (1406ds/17612Mi) 356.81/51.02 % (955465)Instruction limit reached! 356.81/51.02 % (955465)------------------------------ 356.81/51.02 % (955465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 356.81/51.02 % (955465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 356.81/51.02 % (955465)CaDiCaL version: 2.1.3 356.81/51.02 % (955465)Termination reason: Instruction limit 356.81/51.02 % (955465)Termination phase: Saturation 356.81/51.02 % (955465)Time elapsed: 1.073 s 356.81/51.02 % (955465)Peak memory usage: 20 MB 356.81/51.02 % (955465)Instructions burned: 2187 (million) 356.81/51.02 % (955471)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=3770910471:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_1404 on theBenchmark for (1404ds/20626Mi) 356.81/51.02 % (955463)Instruction limit reached! 356.81/51.02 % (955463)------------------------------ 356.81/51.02 % (955463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 356.81/51.02 % (955463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 372.57/53.15 % (955463)CaDiCaL version: 2.1.3 372.57/53.15 % (955463)Termination reason: Instruction limit 372.57/53.15 % (955463)Termination phase: Saturation 372.57/53.15 % (955463)Time elapsed: 2.471 s 372.57/53.15 % (955463)Peak memory usage: 26 MB 372.57/53.15 % (955463)Instructions burned: 4716 (million) 372.57/53.15 % (955473)WARNING Broken Constraint: if sine_to_age_generality_threshold(64) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 372.57/53.15 % (955473)lrs+1002_8:1_to=lpo:sil=128000:fde=unused:cnfonf=lazy_not_be_gen:si=on:sp=reverse_frequency:uwa=interpreted_only:s2agt=64:random_seed=3362763077:i=43040:fgj=on:bd=all:nm=16:rtra=on_1391 on theBenchmark for (1391ds/43040Mi) 372.57/53.15 % (955467)Instruction limit reached! 372.57/53.15 % (955467)------------------------------ 372.57/53.15 % (955467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 372.57/53.15 % (955467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 372.57/53.16 % (955467)CaDiCaL version: 2.1.3 372.57/53.16 % (955467)Termination reason: Instruction limit 372.57/53.16 % (955467)Termination phase: Saturation 372.57/53.16 % (955467)Time elapsed: 2.473 s 372.57/53.16 % (955467)Peak memory usage: 42 MB 372.57/53.16 % (955467)Instructions burned: 9354 (million) 372.57/53.16 % (955475)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1879527077:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_1388 on theBenchmark for (1388ds/515Mi) 372.57/53.16 % (955475)Instruction limit reached! 372.57/53.16 % (955475)------------------------------ 372.57/53.16 % (955475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 372.57/53.16 % (955475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 372.57/53.16 % (955475)CaDiCaL version: 2.1.3 372.57/53.16 % (955475)Termination reason: Instruction limit 372.57/53.16 % (955475)Termination phase: Saturation 372.57/53.16 % (955475)Time elapsed: 0.122 s 372.57/53.16 % (955475)Peak memory usage: 16 MB 372.57/53.16 % (955475)Instructions burned: 521 (million) 372.57/53.16 % (955477)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3928024831:st=1.5:i=4535:rtra=on:ss=axioms_1387 on theBenchmark for (1387ds/4535Mi) 372.57/53.16 % (955477)Instruction limit reached! 372.57/53.16 % (955477)------------------------------ 372.57/53.16 % (955477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 372.57/53.16 % (955477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 372.57/53.16 % (955477)CaDiCaL version: 2.1.3 372.57/53.16 % (955477)Termination reason: Instruction limit 372.57/53.16 % (955477)Termination phase: Saturation 372.57/53.16 % (955477)Time elapsed: 1.115 s 372.57/53.16 % (955477)Peak memory usage: 29 MB 372.57/53.16 % (955477)Instructions burned: 4537 (million) 372.57/53.16 % (955479)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=2190131832:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_1376 on theBenchmark for (1376ds/1950Mi) 372.57/53.16 % (955479)Instruction limit reached! 372.57/53.16 % (955479)------------------------------ 372.57/53.16 % (955479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 372.57/53.16 % (955479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 372.57/53.16 % (955479)CaDiCaL version: 2.1.3 372.57/53.16 % (955479)Termination reason: Instruction limit 372.57/53.16 % (955479)Termination phase: Saturation 372.57/53.16 % (955479)Time elapsed: 0.983 s 372.57/53.16 % (955479)Peak memory usage: 27 MB 372.57/53.16 % (955479)Instructions burned: 1952 (million) 372.57/53.16 % (955481)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3142558899:hsq=on:hsqr=16,1:s2a=on:i=17789:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_1365 on theBenchmark for (1365ds/17789Mi) 372.57/53.16 % (955461)Instruction limit reached! 372.57/53.16 % (955461)------------------------------ 372.57/53.16 % (955461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 372.57/53.16 % (955461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 372.57/53.16 % (955461)CaDiCaL version: 2.1.3 372.57/53.16 % (955461)Termination reason: Instruction limit 372.57/53.16 % (955461)Termination phase: Saturation 372.57/53.16 % (955461)Time elapsed: 5.729 s 372.57/53.16 % (955461)Peak memory usage: 23 MB 372.57/53.16 % (955461)Instructions burned: 13442 (million) 383.01/54.63 % (955483)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on 383.01/54.63 % (955483)ott+1002_16_sil=128000:si=on:random_seed=1012117242:hsqr=1,3:i=1064:add=on:rtra=on:fe=abstraction_1360 on theBenchmark for (1360ds/1064Mi) 383.01/54.63 % (955483)Instruction limit reached! 383.01/54.63 % (955483)------------------------------ 383.01/54.63 % (955483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955483)CaDiCaL version: 2.1.3 383.01/54.63 % (955483)Termination reason: Instruction limit 383.01/54.63 % (955483)Termination phase: Saturation 383.01/54.63 % (955483)Time elapsed: 0.486 s 383.01/54.63 % (955483)Peak memory usage: 18 MB 383.01/54.63 % (955483)Instructions burned: 1064 (million) 383.01/54.63 % (955485)dis+10_8:1_si=on:acc=on:uwa=interpreted_only:s2agt=64:random_seed=4117403939:s2a=on:i=5262:kws=inv_frequency:bd=all:nm=0:rtra=on_1355 on theBenchmark for (1355ds/5262Mi) 383.01/54.63 % (955485)Instruction limit reached! 383.01/54.63 % (955485)------------------------------ 383.01/54.63 % (955485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955485)CaDiCaL version: 2.1.3 383.01/54.63 % (955485)Termination reason: Instruction limit 383.01/54.63 % (955485)Termination phase: Saturation 383.01/54.63 % (955485)Time elapsed: 2.432 s 383.01/54.63 % (955485)Peak memory usage: 25 MB 383.01/54.63 % (955485)Instructions burned: 5262 (million) 383.01/54.63 % (955487)ott+10_64_sil=128000:si=on:spb=goal:uwa=one_side_constant:gs=on:flr=on:random_seed=4068516428:hsq=on:hsqr=1,4:i=6827:doe=on:ep=RS:bd=all:fsr=off:rtra=on:fe=abstraction:ss=axioms:sgt=8_1330 on theBenchmark for (1330ds/6827Mi) 383.01/54.63 % (955469)Instruction limit reached! 383.01/54.63 % (955469)------------------------------ 383.01/54.63 % (955469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955469)CaDiCaL version: 2.1.3 383.01/54.63 % (955469)Termination reason: Instruction limit 383.01/54.63 % (955469)Termination phase: Saturation 383.01/54.63 % (955469)Time elapsed: 9.363 s 383.01/54.63 % (955469)Peak memory usage: 65 MB 383.01/54.63 % (955469)Instructions burned: 17614 (million) 383.01/54.63 % (955489)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=4198635117:cond=on:i=1201:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_1312 on theBenchmark for (1312ds/1201Mi) 383.01/54.63 % (955489)Instruction limit reached! 383.01/54.63 % (955489)------------------------------ 383.01/54.63 % (955489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955489)CaDiCaL version: 2.1.3 383.01/54.63 % (955489)Termination reason: Instruction limit 383.01/54.63 % (955489)Termination phase: Saturation 383.01/54.63 % (955489)Time elapsed: 0.580 s 383.01/54.63 % (955489)Peak memory usage: 20 MB 383.01/54.63 % (955489)Instructions burned: 1203 (million) 383.01/54.63 % (955491)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(discount) is equal to lrs 383.01/54.63 % (955491)dis+1010_1_sil=128000:si=on:ser=on:sp=const_min:lma=off:uwa=off:rp=on:nwc=1:s2agt=30:sac=on:random_seed=1722243642:lrd=on:s2a=on:i=8136:bd=all:rtra=on:rawr=on_1306 on theBenchmark for (1306ds/8136Mi) 383.01/54.63 % (955471)Instruction limit reached! 383.01/54.63 % (955471)------------------------------ 383.01/54.63 % (955471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955471)CaDiCaL version: 2.1.3 383.01/54.63 % (955471)Termination reason: Instruction limit 383.01/54.63 % (955471)Termination phase: Saturation 383.01/54.63 % (955471)Time elapsed: 9.875 s 383.01/54.63 % (955471)Peak memory usage: 106 MB 383.01/54.63 % (955471)Instructions burned: 20627 (million) 383.01/54.63 % (955493)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1493729011:st=2.5:i=5142:sd=2:rtra=on:ss=axioms_1305 on theBenchmark for (1305ds/5142Mi) 383.01/54.63 % (955487)Instruction limit reached! 383.01/54.63 % (955487)------------------------------ 383.01/54.63 % (955487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955487)CaDiCaL version: 2.1.3 383.01/54.63 % (955487)Termination reason: Instruction limit 383.01/54.63 % (955487)Termination phase: Saturation 383.01/54.63 % (955487)Time elapsed: 3.641 s 383.01/54.63 % (955487)Peak memory usage: 32 MB 383.01/54.63 % (955487)Instructions burned: 6828 (million) 383.01/54.63 % (955495)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=2785409063:i=7006:add=on:sd=4:fsr=off:rtra=on:ss=included_1294 on theBenchmark for (1294ds/7006Mi) 383.01/54.63 % (955021)Instruction limit reached! 383.01/54.63 % (955021)------------------------------ 383.01/54.63 % (955021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955021)CaDiCaL version: 2.1.3 383.01/54.63 % (955021)Termination reason: Instruction limit 383.01/54.63 % (955021)Termination phase: Saturation 383.01/54.63 % (955021)Time elapsed: 25.543 s 383.01/54.63 % (955021)Peak memory usage: 150 MB 383.01/54.63 % (955021)Instructions burned: 46929 (million) 383.01/54.63 % (955497)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=3986898089:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=12395:avsqr=1,16:aac=none:hud=3:rtra=on_1288 on theBenchmark for (1288ds/12395Mi) 383.01/54.63 % (955473)Instruction limit reached! 383.01/54.63 % (955473)------------------------------ 383.01/54.63 % (955473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955473)CaDiCaL version: 2.1.3 383.01/54.63 % (955473)Termination reason: Instruction limit 383.01/54.63 % (955473)Termination phase: Saturation 383.01/54.63 % (955473)Time elapsed: 10.706 s 383.01/54.63 % (955473)Peak memory usage: 44 MB 383.01/54.63 % (955473)Instructions burned: 43041 (million) 383.01/54.63 % (955499)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on 383.01/54.63 % (955499)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=193267918:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_1284 on theBenchmark for (1284ds/4201Mi) 383.01/54.63 % (955493)Instruction limit reached! 383.01/54.63 % (955493)------------------------------ 383.01/54.63 % (955493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955493)CaDiCaL version: 2.1.3 383.01/54.63 % (955493)Termination reason: Instruction limit 383.01/54.63 % (955493)Termination phase: Saturation 383.01/54.63 % (955493)Time elapsed: 2.441 s 383.01/54.63 % (955493)Peak memory usage: 28 MB 383.01/54.63 % (955493)Instructions burned: 5143 (million) 383.01/54.63 % (955501)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1207160159:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=125182:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_1280 on theBenchmark for (1280ds/125182Mi) 383.01/54.63 % (955491)Instruction limit reached! 383.01/54.63 % (955491)------------------------------ 383.01/54.63 % (955491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955491)CaDiCaL version: 2.1.3 383.01/54.63 % (955491)Termination reason: Instruction limit 383.01/54.63 % (955491)Termination phase: Saturation 383.01/54.63 % (955491)Time elapsed: 3.017 s 383.01/54.63 % (955491)Peak memory usage: 24 MB 383.01/54.63 % (955491)Instructions burned: 8140 (million) 383.01/54.63 % (955503)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1330467699:hsq=on:hsqr=16,1:s2a=on:i=15072:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1276 on theBenchmark for (1276ds/15072Mi) 383.01/54.63 % (955481)Instruction limit reached! 383.01/54.63 % (955481)------------------------------ 383.01/54.63 % (955481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955481)CaDiCaL version: 2.1.3 383.01/54.63 % (955481)Termination reason: Instruction limit 383.01/54.63 % (955481)Termination phase: Saturation 383.01/54.63 % (955481)Time elapsed: 9.301 s 383.01/54.63 % (955481)Peak memory usage: 77 MB 383.01/54.63 % (955481)Instructions burned: 17789 (million) 383.01/54.63 % (955505)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=356036447:i=45682:fsr=off:rtra=on:ixr=off_1272 on theBenchmark for (1272ds/45682Mi) 383.01/54.63 % (955499)Refutation not found, incomplete strategy 383.01/54.63 % (955499)------------------------------ 383.01/54.63 % (955499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955499)CaDiCaL version: 2.1.3 383.01/54.63 % (955499)Termination reason: Refutation not found, incomplete strategy 383.01/54.63 % (955499)Time elapsed: 1.602 s 383.01/54.63 % (955499)Peak memory usage: 16 MB 383.01/54.63 % (955499)Instructions burned: 3114 (million) 383.01/54.63 % (955499)------------------------------ 383.01/54.63 % (955499)------------------------------ 383.01/54.63 % (955507)ott+1011_28_anc=all_dependent:cnfonf=lazy_gen:si=on:fdtod=off:sp=reverse_frequency:uwa=one_side_interpreted:fd=preordered:nwc=1:random_seed=4145969233:i=5804:kws=arity_squared:bd=all:rtra=on:ntd=on_1267 on theBenchmark for (1267ds/5804Mi) 383.01/54.63 % (955507)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use 383.01/54.63 % (955495)Instruction limit reached! 383.01/54.63 % (955495)------------------------------ 383.01/54.63 % (955495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.63 % (955495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.63 % (955495)CaDiCaL version: 2.1.3 383.01/54.63 % (955495)Termination reason: Instruction limit 383.01/54.63 % (955495)Termination phase: Saturation 383.01/54.63 % (955495)Time elapsed: 2.931 s 383.01/54.63 % (955495)Peak memory usage: 36 MB 383.01/54.63 % (955495)Instructions burned: 7007 (million) 383.01/54.63 % (955509)lrs+1010_8:1_sil=128000:fde=none:e2e=on:si=on:spb=goal:bsr=unit_only:uwa=off:nwc=3:cs=on:random_seed=195462000:i=13233:aac=none:nm=64:ins=7:rtra=on_1264 on theBenchmark for (1264ds/13233Mi) 383.01/54.63 % (955497) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-954409-955497"... 383.01/54.63 % (955497)...printing done. 383.01/54.63 % (955497)Refutation found. Thanks to Tanya! 383.01/54.63 % SZS status Theorem for theBenchmark 383.01/54.63 % SZS output start Proof for theBenchmark 383.01/54.63 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType). 383.01/54.63 thf(func_def_0, type, in: ($i > $i > $o)). 383.01/54.63 thf(func_def_1, type, exu: (($i > $o) > $o)). 383.01/54.63 thf(func_def_3, type, setextAx: $o). 383.01/54.63 thf(func_def_5, type, emptysetAx: $o). 383.01/54.63 thf(func_def_6, type, setadjoin: ($i > $i > $i)). 383.01/54.63 thf(func_def_7, type, setadjoinAx: $o). 383.01/54.63 thf(func_def_8, type, powerset: ($i > $i)). 383.01/54.63 thf(func_def_9, type, powersetAx: $o). 383.01/54.63 thf(func_def_10, type, setunion: ($i > $i)). 383.01/54.63 thf(func_def_11, type, setunionAx: $o). 383.01/54.63 thf(func_def_13, type, omega0Ax: $o). 383.01/54.63 thf(func_def_14, type, omegaSAx: $o). 383.01/54.63 thf(func_def_15, type, omegaIndAx: $o). 383.01/54.63 thf(func_def_16, type, replAx: $o). 383.01/54.63 thf(func_def_17, type, foundationAx: $o). 383.01/54.63 thf(func_def_18, type, wellorderingAx: $o). 383.01/54.63 thf(func_def_19, type, descr: (($i > $o) > $i)). 383.01/54.63 thf(func_def_20, type, descrp: $o). 383.01/54.63 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)). 383.01/54.63 thf(func_def_22, type, dsetconstrI: $o). 383.01/54.63 thf(func_def_23, type, dsetconstrEL: $o). 383.01/54.63 thf(func_def_24, type, dsetconstrER: $o). 383.01/54.63 thf(func_def_25, type, exuE1: $o). 383.01/54.63 thf(func_def_26, type, prop2set: ($o > $i)). 383.01/54.63 thf(func_def_27, type, prop2setE: $o). 383.01/54.63 thf(func_def_28, type, emptysetE: $o). 383.01/54.63 thf(func_def_29, type, emptysetimpfalse: $o). 383.01/54.63 thf(func_def_30, type, notinemptyset: $o). 383.01/54.63 thf(func_def_31, type, exuE3e: $o). 383.01/54.63 thf(func_def_32, type, setext: $o). 383.01/54.63 thf(func_def_33, type, emptyI: $o). 383.01/54.63 thf(func_def_34, type, noeltsimpempty: $o). 383.01/54.63 thf(func_def_35, type, setbeta: $o). 383.01/54.63 thf(func_def_36, type, nonempty: ($i > $o)). 383.01/54.63 thf(func_def_37, type, nonemptyE1: $o). 383.01/54.63 thf(func_def_38, type, nonemptyI: $o). 383.01/54.63 thf(func_def_39, type, nonemptyI1: $o). 383.01/54.63 thf(func_def_40, type, setadjoinIL: $o). 383.01/54.63 thf(func_def_41, type, emptyinunitempty: $o). 383.01/54.63 thf(func_def_42, type, setadjoinIR: $o). 383.01/54.63 thf(func_def_43, type, setadjoinE: $o). 383.01/54.63 thf(func_def_44, type, setadjoinOr: $o). 383.01/54.63 thf(func_def_45, type, setoftrueEq: $o). 383.01/54.63 thf(func_def_46, type, powersetI: $o). 383.01/54.63 thf(func_def_47, type, emptyinPowerset: $o). 383.01/54.63 thf(func_def_48, type, emptyInPowerset: $o). 383.01/54.63 thf(func_def_49, type, powersetE: $o). 383.01/54.63 thf(func_def_50, type, setunionI: $o). 383.01/54.63 thf(func_def_51, type, setunionE: $o). 383.01/54.63 thf(func_def_52, type, subPowSU: $o). 383.01/54.63 thf(func_def_53, type, exuE2: $o). 383.01/54.63 thf(func_def_54, type, nonemptyImpWitness: $o). 383.01/54.63 thf(func_def_55, type, uniqinunit: $o). 383.01/54.63 thf(func_def_56, type, notinsingleton: $o). 383.01/54.63 thf(func_def_57, type, eqinunit: $o). 383.01/54.63 thf(func_def_58, type, singletonsswitch: $o). 383.01/54.63 thf(func_def_59, type, upairsetE: $o). 383.01/54.63 thf(func_def_60, type, upairsetIL: $o). 383.01/54.63 thf(func_def_61, type, upairsetIR: $o). 383.01/54.63 thf(func_def_62, type, emptyE1: $o). 383.01/54.63 thf(func_def_63, type, vacuousDall: $o). 383.01/54.63 thf(func_def_64, type, quantDeMorgan1: $o). 383.01/54.63 thf(func_def_65, type, quantDeMorgan2: $o). 383.01/54.63 thf(func_def_66, type, quantDeMorgan3: $o). 383.01/54.63 thf(func_def_67, type, quantDeMorgan4: $o). 383.01/54.63 thf(func_def_68, type, prop2setI: $o). 383.01/54.63 thf(func_def_69, type, set2prop: ($i > $o)). 383.01/54.63 thf(func_def_70, type, prop2set2propI: $o). 383.01/54.63 thf(func_def_71, type, notdexE: $o). 383.01/54.63 thf(func_def_72, type, notdallE: $o). 383.01/54.63 thf(func_def_73, type, exuI1: $o). 383.01/54.63 thf(func_def_74, type, exuI3: $o). 383.01/54.63 thf(func_def_75, type, exuI2: $o). 383.01/54.63 thf(func_def_76, type, inCongP: $o). 383.01/54.63 thf(func_def_77, type, in__Cong: $o). 383.01/54.63 thf(func_def_78, type, exuE3u: $o). 383.01/54.63 thf(func_def_79, type, exu__Cong: $o). 383.01/54.63 thf(func_def_80, type, emptyset__Cong: $o). 383.01/54.63 thf(func_def_81, type, setadjoin__Cong: $o). 383.01/54.63 thf(func_def_82, type, powerset__Cong: $o). 383.01/54.63 thf(func_def_83, type, setunion__Cong: $o). 383.01/54.63 thf(func_def_84, type, omega__Cong: $o). 383.01/54.63 thf(func_def_85, type, exuEu: $o). 383.01/54.63 thf(func_def_86, type, descr__Cong: $o). 383.01/54.63 thf(func_def_87, type, dsetconstr__Cong: $o). 383.01/54.63 thf(func_def_88, type, subset: ($i > $i > $o)). 383.01/54.63 thf(func_def_89, type, disjoint: ($i > $i > $o)). 383.01/54.63 thf(func_def_90, type, setsmeet: ($i > $i > $o)). 383.01/54.63 thf(func_def_91, type, subsetI1: $o). 383.01/54.63 thf(func_def_92, type, eqimpsubset2: $o). 383.01/54.63 thf(func_def_93, type, eqimpsubset1: $o). 383.01/54.63 thf(func_def_94, type, subsetI2: $o). 383.01/54.63 thf(func_def_95, type, emptysetsubset: $o). 383.01/54.63 thf(func_def_96, type, subsetE: $o). 383.01/54.63 thf(func_def_97, type, subsetE2: $o). 383.01/54.63 thf(func_def_98, type, notsubsetI: $o). 383.01/54.63 thf(func_def_99, type, notequalI1: $o). 383.01/54.63 thf(func_def_100, type, notequalI2: $o). 383.01/54.63 thf(func_def_101, type, subsetRefl: $o). 383.01/54.63 thf(func_def_102, type, subsetTrans: $o). 383.01/54.63 thf(func_def_103, type, setadjoinSub: $o). 383.01/54.63 thf(func_def_104, type, setadjoinSub2: $o). 383.01/54.63 thf(func_def_105, type, subset2powerset: $o). 383.01/54.63 thf(func_def_106, type, setextsub: $o). 383.01/54.63 thf(func_def_107, type, subsetemptysetimpeq: $o). 383.01/54.63 thf(func_def_108, type, powersetI1: $o). 383.01/54.63 thf(func_def_109, type, powersetE1: $o). 383.01/54.63 thf(func_def_110, type, inPowerset: $o). 383.01/54.63 thf(func_def_111, type, powersetsubset: $o). 383.01/54.63 thf(func_def_112, type, sepInPowerset: $o). 383.01/54.63 thf(func_def_113, type, sepSubset: $o). 383.01/54.63 thf(func_def_114, type, binunion: ($i > $i > $i)). 383.01/54.63 thf(func_def_115, type, binunionIL: $o). 383.01/54.63 thf(func_def_116, type, upairset2IR: $o). 383.01/54.63 thf(func_def_117, type, binunionIR: $o). 383.01/54.63 thf(func_def_118, type, binunionEcases: $o). 383.01/54.63 thf(func_def_119, type, binunionE: $o). 383.01/54.63 thf(func_def_120, type, binunionLsub: $o). 383.01/54.63 thf(func_def_121, type, binunionRsub: $o). 383.01/54.63 thf(func_def_122, type, binintersect: ($i > $i > $i)). 383.01/54.63 thf(func_def_123, type, binintersectI: $o). 383.01/54.63 thf(func_def_124, type, binintersectSubset5: $o). 383.01/54.63 thf(func_def_125, type, binintersectEL: $o). 383.01/54.63 thf(func_def_126, type, binintersectLsub: $o). 383.01/54.63 thf(func_def_127, type, binintersectSubset2: $o). 383.01/54.63 thf(func_def_128, type, binintersectSubset3: $o). 383.01/54.63 thf(func_def_129, type, binintersectER: $o). 383.01/54.63 thf(func_def_130, type, disjointsetsI1: $o). 383.01/54.63 thf(func_def_131, type, binintersectRsub: $o). 383.01/54.63 thf(func_def_132, type, binintersectSubset4: $o). 383.01/54.63 thf(func_def_133, type, binintersectSubset1: $o). 383.01/54.63 thf(func_def_134, type, bs114d: $o). 383.01/54.63 thf(func_def_135, type, regular: ($i > $o)). 383.01/54.63 thf(func_def_136, type, setminus: ($i > $i > $i)). 383.01/54.63 thf(func_def_137, type, setminusI: $o). 383.01/54.63 thf(func_def_138, type, setminusEL: $o). 383.01/54.63 thf(func_def_139, type, setminusER: $o). 383.01/54.63 thf(func_def_140, type, setminusSubset2: $o). 383.01/54.63 thf(func_def_141, type, setminusERneg: $o). 383.01/54.63 thf(func_def_142, type, setminusELneg: $o). 383.01/54.63 thf(func_def_143, type, setminusILneg: $o). 383.01/54.63 thf(func_def_144, type, setminusIRneg: $o). 383.01/54.63 thf(func_def_145, type, setminusLsub: $o). 383.01/54.63 thf(func_def_146, type, setminusSubset1: $o). 383.01/54.63 thf(func_def_147, type, symdiff: ($i > $i > $i)). 383.01/54.63 thf(func_def_148, type, symdiffE: $o). 383.01/54.63 thf(func_def_149, type, symdiffI1: $o). 383.01/54.63 thf(func_def_150, type, symdiffI2: $o). 383.01/54.63 thf(func_def_151, type, symdiffIneg1: $o). 383.01/54.63 thf(func_def_152, type, symdiffIneg2: $o). 383.01/54.63 thf(func_def_153, type, iskpair: ($i > $o)). 383.01/54.63 thf(func_def_154, type, secondinupair: $o). 383.01/54.63 thf(func_def_155, type, setukpairIL: $o). 383.01/54.63 thf(func_def_156, type, setukpairIR: $o). 383.01/54.63 thf(func_def_157, type, kpairiskpair: $o). 383.01/54.63 thf(func_def_158, type, kpair: ($i > $i > $i)). 383.01/54.63 thf(func_def_159, type, kpairp: $o). 383.01/54.63 thf(func_def_160, type, cartprod: ($i > $i > $i)). 383.01/54.63 thf(func_def_161, type, singletonsubset: $o). 383.01/54.63 thf(func_def_162, type, singletoninpowerset: $o). 383.01/54.63 thf(func_def_163, type, singletoninpowunion: $o). 383.01/54.63 thf(func_def_164, type, upairset2E: $o). 383.01/54.63 thf(func_def_165, type, upairsubunion: $o). 383.01/54.63 thf(func_def_166, type, upairinpowunion: $o). 383.01/54.63 thf(func_def_167, type, ubforcartprodlem1: $o). 383.01/54.63 thf(func_def_168, type, ubforcartprodlem2: $o). 383.01/54.63 thf(func_def_169, type, ubforcartprodlem3: $o). 383.01/54.63 thf(func_def_170, type, cartprodpairin: $o). 383.01/54.63 thf(func_def_171, type, cartprodmempair1: $o). 383.01/54.63 thf(func_def_172, type, cartprodmempair: $o). 383.01/54.63 thf(func_def_173, type, setunionE2: $o). 383.01/54.63 thf(func_def_174, type, setunionsingleton1: $o). 383.01/54.63 thf(func_def_175, type, setunionsingleton2: $o). 383.01/54.63 thf(func_def_176, type, setunionsingleton: $o). 383.01/54.63 thf(func_def_177, type, singleton: ($i > $o)). 383.01/54.63 thf(func_def_178, type, singletonprop: $o). 383.01/54.63 thf(func_def_179, type, ex1: ($i > ($i > $o) > $o)). 383.01/54.63 thf(func_def_180, type, ex1E1: $o). 383.01/54.63 thf(func_def_181, type, ex1I: $o). 383.01/54.63 thf(func_def_182, type, ex1I2: $o). 383.01/54.63 thf(func_def_183, type, singletonsuniq: $o). 383.01/54.63 thf(func_def_184, type, atmost1p: ($i > $o)). 383.01/54.63 thf(func_def_185, type, atleast2p: ($i > $o)). 383.01/54.63 thf(func_def_186, type, atmost2p: ($i > $o)). 383.01/54.63 thf(func_def_187, type, upairsetp: ($i > $o)). 383.01/54.63 thf(func_def_188, type, setukpairinjL1: $o). 383.01/54.63 thf(func_def_189, type, kfstsingleton: $o). 383.01/54.63 thf(func_def_190, type, theprop: $o). 383.01/54.63 thf(func_def_191, type, kfst: ($i > $i)). 383.01/54.63 thf(func_def_192, type, kfstpairEq: $o). 383.01/54.63 thf(func_def_193, type, cartprodfstin: $o). 383.01/54.63 thf(func_def_194, type, setukpairinjL2: $o). 383.01/54.63 thf(func_def_195, type, setukpairinjL: $o). 383.01/54.63 thf(func_def_196, type, setukpairinjR11: $o). 383.01/54.63 thf(func_def_197, type, setukpairinjR12: $o). 383.01/54.63 thf(func_def_198, type, setukpairinjR1: $o). 383.01/54.63 thf(func_def_199, type, upairequniteq: $o). 383.01/54.63 thf(func_def_200, type, setukpairinjR2: $o). 383.01/54.63 thf(func_def_201, type, setukpairinjR: $o). 383.01/54.63 thf(func_def_202, type, ksndsingleton: $o). 383.01/54.63 thf(func_def_203, type, ksnd: ($i > $i)). 383.01/54.63 thf(func_def_204, type, ksndpairEq: $o). 383.01/54.63 thf(func_def_205, type, kpairsurjEq: $o). 383.01/54.63 thf(func_def_206, type, cartprodsndin: $o). 383.01/54.63 thf(func_def_207, type, cartprodpairmemEL: $o). 383.01/54.63 thf(func_def_208, type, cartprodpairmemER: $o). 383.01/54.63 thf(func_def_209, type, cartprodmempaircEq: $o). 383.01/54.63 thf(func_def_210, type, cartprodfstpairEq: $o). 383.01/54.63 thf(func_def_211, type, cartprodsndpairEq: $o). 383.01/54.63 thf(func_def_212, type, cartprodpairsurjEq: $o). 383.01/54.63 thf(func_def_213, type, breln: ($i > $i > $i > $o)). 383.01/54.63 thf(func_def_214, type, dpsetconstr: ($i > $i > ($i > $i > $o) > $i)). 383.01/54.63 thf(func_def_215, type, dpsetconstrI: $o). 383.01/54.63 thf(func_def_216, type, dpsetconstrSub: $o). 383.01/54.63 thf(func_def_217, type, setOfPairsIsBReln: $o). 383.01/54.63 thf(func_def_218, type, dpsetconstrERa: $o). 383.01/54.63 thf(func_def_219, type, dpsetconstrEL1: $o). 383.01/54.63 thf(func_def_220, type, dpsetconstrEL2: $o). 383.01/54.63 thf(func_def_221, type, dpsetconstrER: $o). 383.01/54.63 thf(func_def_222, type, func: ($i > $i > $i > $o)). 383.01/54.63 thf(func_def_223, type, funcSet: ($i > $i > $i)). 383.01/54.63 thf(func_def_224, type, funcImageSingleton: $o). 383.01/54.63 thf(func_def_225, type, apProp: $o). 383.01/54.63 thf(func_def_226, type, ap: ($i > $i > $i > $i > $i)). 383.01/54.63 thf(func_def_227, type, app: $o). 383.01/54.63 thf(func_def_228, type, infuncsetfunc: $o). 383.01/54.63 thf(func_def_229, type, ap2p: $o). 383.01/54.63 thf(func_def_230, type, funcinfuncset: $o). 383.01/54.63 thf(func_def_231, type, lamProp: $o). 383.01/54.63 thf(func_def_232, type, lam: ($i > $i > ($i > $i) > $i)). 383.01/54.63 thf(func_def_233, type, lamp: $o). 383.01/54.63 thf(func_def_234, type, lam2p: $o). 383.01/54.63 thf(func_def_235, type, brelnall1: $o). 383.01/54.63 thf(func_def_236, type, brelnall2: $o). 383.01/54.63 thf(func_def_237, type, ex1E2: $o). 383.01/54.63 thf(func_def_238, type, funcGraphProp1: $o). 383.01/54.63 thf(func_def_239, type, funcGraphProp3: $o). 383.01/54.63 thf(func_def_240, type, funcGraphProp2: $o). 383.01/54.63 thf(func_def_241, type, funcextLem: $o). 383.01/54.63 thf(func_def_242, type, funcGraphProp4: $o). 383.01/54.63 thf(func_def_243, type, subbreln: $o). 383.01/54.63 thf(func_def_244, type, eqbreln: $o). 383.01/54.63 thf(func_def_245, type, funcext: $o). 383.01/54.63 thf(func_def_246, type, funcext2: $o). 383.01/54.63 thf(func_def_247, type, ap2apEq1: $o). 383.01/54.63 thf(func_def_248, type, ap2apEq2: $o). 383.01/54.63 thf(func_def_249, type, beta1: $o). 383.01/54.63 thf(func_def_250, type, eta1: $o). 383.01/54.63 thf(func_def_251, type, lam2lamEq: $o). 383.01/54.63 thf(func_def_252, type, beta2: $o). 383.01/54.63 thf(func_def_253, type, eta2: $o). 383.01/54.63 thf(func_def_254, type, iffalseProp1: $o). 383.01/54.63 thf(func_def_255, type, iffalseProp2: $o). 383.01/54.63 thf(func_def_256, type, iftrueProp1: $o). 383.01/54.63 thf(func_def_257, type, iftrueProp2: $o). 383.01/54.63 thf(func_def_258, type, ifSingleton: $o). 383.01/54.63 thf(func_def_259, type, if: ($i > $o > $i > $i > $i)). 383.01/54.63 thf(func_def_260, type, ifp: $o). 383.01/54.63 thf(func_def_261, type, theeq: $o). 383.01/54.63 thf(func_def_262, type, iftrue: $o). 383.01/54.63 thf(func_def_263, type, iffalse: $o). 383.01/54.63 thf(func_def_264, type, iftrueorfalse: $o). 383.01/54.63 thf(func_def_265, type, binintersectT_lem: $o). 383.01/54.63 thf(func_def_266, type, binunionT_lem: $o). 383.01/54.63 thf(func_def_267, type, powersetT_lem: $o). 383.01/54.63 thf(func_def_268, type, setminusT_lem: $o). 383.01/54.63 thf(func_def_269, type, complementT_lem: $o). 383.01/54.63 thf(func_def_270, type, setextT: $o). 383.01/54.63 thf(func_def_271, type, subsetTI: $o). 383.01/54.63 thf(func_def_272, type, powersetTI1: $o). 383.01/54.63 thf(func_def_273, type, powersetTE1: $o). 383.01/54.63 thf(func_def_274, type, complementTI1: $o). 383.01/54.63 thf(func_def_275, type, complementTE1: $o). 383.01/54.63 thf(func_def_276, type, binintersectTELcontra: $o). 383.01/54.63 thf(func_def_277, type, binintersectTERcontra: $o). 383.01/54.63 thf(func_def_278, type, contrasubsetT: $o). 383.01/54.63 thf(func_def_279, type, contrasubsetT1: $o). 383.01/54.63 thf(func_def_280, type, contrasubsetT2: $o). 383.01/54.63 thf(func_def_281, type, contrasubsetT3: $o). 383.01/54.63 thf(func_def_282, type, doubleComplementI1: $o). 383.01/54.63 thf(func_def_283, type, doubleComplementE1: $o). 383.01/54.63 thf(func_def_284, type, doubleComplementSub1: $o). 383.01/54.63 thf(func_def_285, type, doubleComplementSub2: $o). 383.01/54.63 thf(func_def_286, type, doubleComplementEq: $o). 383.01/54.63 thf(func_def_287, type, complementTnotintersectT: $o). 383.01/54.63 thf(func_def_288, type, complementImpComplementIntersect: $o). 383.01/54.63 thf(func_def_289, type, complementSubsetComplementIntersect: $o). 383.01/54.63 thf(func_def_290, type, complementInPowersetComplementIntersect: $o). 383.01/54.63 thf(func_def_291, type, contraSubsetComplement: $o). 383.01/54.63 thf(func_def_292, type, complementTcontraSubset: $o). 383.01/54.63 thf(func_def_293, type, binunionTILcontra: $o). 383.01/54.63 thf(func_def_294, type, binunionTIRcontra: $o). 383.01/54.63 thf(func_def_295, type, inIntersectImpInUnion: $o). 383.01/54.63 thf(func_def_296, type, inIntersectImpInUnion2: $o). 383.01/54.63 thf(func_def_297, type, inIntersectImpInIntersectUnions: $o). 383.01/54.63 thf(func_def_298, type, intersectInPowersetIntersectUnions: $o). 383.01/54.63 thf(func_def_299, type, inComplementUnionImpNotIn1: $o). 383.01/54.63 thf(func_def_300, type, inComplementUnionImpInComplement1: $o). 383.01/54.63 thf(func_def_301, type, binunionTE: $o). 383.01/54.63 thf(func_def_302, type, binunionTEcontra: $o). 383.01/54.63 thf(func_def_303, type, demorgan2a1: $o). 383.01/54.63 thf(func_def_304, type, complementUnionInPowersetComplement: $o). 383.01/54.63 thf(func_def_305, type, demorgan2a2: $o). 383.01/54.63 thf(func_def_306, type, demorgan1a: $o). 383.01/54.63 thf(func_def_307, type, demorgan1b: $o). 383.01/54.63 thf(func_def_308, type, demorgan1: $o). 383.01/54.63 thf(func_def_309, type, demorgan2a: $o). 383.01/54.63 thf(func_def_310, type, demorgan2b2: $o). 383.01/54.63 thf(func_def_311, type, demorgan2b: $o). 383.01/54.63 thf(func_def_312, type, demorgan2: $o). 383.01/54.63 thf(func_def_313, type, woz13rule0: $o). 383.01/54.63 thf(func_def_314, type, woz13rule1: $o). 383.01/54.63 thf(func_def_315, type, woz13rule2: $o). 383.01/54.63 thf(func_def_316, type, woz13rule3: $o). 383.01/54.63 thf(func_def_317, type, woz13rule4: $o). 383.01/54.63 thf(func_def_318, type, woz1_1: $o). 383.01/54.63 thf(func_def_319, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))). 383.01/54.63 thf(func_def_320, type, vIMP: ($o > $o > $o)). 383.01/54.63 thf(func_def_321, type, vNOT: ($o > $o)). 383.01/54.63 thf(func_def_322, type, db2: !>[X0: $tType]:(X0)). 383.01/54.63 thf(func_def_323, type, db0: !>[X0: $tType]:(X0)). 383.01/54.63 thf(func_def_324, type, db1: !>[X0: $tType]:(X0)). 383.01/54.63 thf(func_def_325, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))). 383.01/54.63 thf(func_def_326, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))). 383.01/54.63 thf(func_def_329, type, db3: !>[X0: $tType]:(X0)). 383.01/54.63 thf(func_def_330, type, db4: !>[X0: $tType]:(X0)). 383.01/54.63 thf(func_def_331, type, db5: !>[X0: $tType]:(X0)). 383.01/54.63 thf(func_def_332, type, vIFF: ($o > $o > $o)). 383.01/54.63 thf(func_def_333, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))). 383.01/54.63 thf(func_def_334, type, vAND: ($o > $o > $o)). 383.01/54.63 thf(func_def_335, type, db6: !>[X0: $tType]:(X0)). 383.01/54.63 thf(func_def_336, type, vOR: ($o > $o > $o)). 383.01/54.63 thf(func_def_337, type, sK0: $o). 383.01/54.63 thf(func_def_379, type, sK42: ($i > $o)). 383.01/54.63 thf(func_def_380, type, sK43: ($i > $i)). 383.01/54.63 thf(func_def_385, type, sK48: ($i > $i)). 383.01/54.63 thf(func_def_388, type, sK51: $o). 383.01/54.63 thf(func_def_401, type, sK64: ($i > $o)). 383.01/54.63 thf(func_def_402, type, sK65: ($i > $i > $o)). 383.01/54.63 thf(func_def_413, type, sK76: ($i > $o)). 383.01/54.63 thf(func_def_414, type, sK77: ($i > $o)). 383.01/54.63 thf(func_def_416, type, sK79: ($i > $i > $o)). 383.01/54.63 thf(func_def_420, type, sK83: $o). 383.01/54.63 thf(func_def_431, type, sK94: ($i > $o)). 383.01/54.63 thf(func_def_438, type, sK101: ($i > $i)). 383.01/54.63 thf(func_def_442, type, sK105: ($i > $o)). 383.01/54.63 thf(func_def_467, type, sK130: ($i > $o)). 383.01/54.63 thf(func_def_469, type, sK132: ($i > $i > $o)). 383.01/54.63 thf(func_def_471, type, sK134: ($i > $o)). 383.01/54.63 thf(func_def_472, type, sK135: ($i > $o)). 383.01/54.63 thf(func_def_488, type, sK151: ($i > $o)). 383.01/54.63 thf(func_def_498, type, sK161: ($i > $o)). 383.01/54.63 thf(func_def_501, type, sK164: $o). 383.01/54.63 thf(func_def_509, type, sK172: $o). 383.01/54.63 thf(func_def_520, type, sK183: ($i > $o)). 383.01/54.63 thf(func_def_530, type, sK193: ($i > $o)). 383.01/54.63 thf(func_def_537, type, sK200: ($i > $o)). 383.01/54.63 thf(func_def_547, type, sK210: ($i > $o)). 383.01/54.63 thf(func_def_586, type, sK249: ($i > $o)). 383.01/54.63 thf(func_def_589, type, sK252: ($i > $i)). 383.01/54.63 thf(func_def_605, type, sK268: ($i > $o)). 383.01/54.63 thf(func_def_654, type, sK317: $o). 383.01/54.63 thf(func_def_659, type, sK322: ($i > $i > $o)). 383.01/54.63 thf(func_def_660, type, sK323: $o). 383.01/54.63 thf(func_def_661, type, sK324: ($i > $o)). 383.01/54.63 thf(func_def_666, type, sK329: ($i > $o)). 383.01/54.63 thf(func_def_673, type, sK336: ($i > $o)). 383.01/54.63 thf(func_def_687, type, sK350: ($i > $o)). 383.01/54.63 thf(func_def_711, type, sK374: ($i > $o)). 383.01/54.63 thf(func_def_721, type, sK384: ($i > $o)). 383.01/54.63 thf(func_def_725, type, sK388: $o). 383.01/54.63 thf(func_def_759, type, sK422: ($i > $o)). 383.01/54.63 thf(func_def_767, type, sK430: ($i > $i)). 383.01/54.63 thf(func_def_782, type, sK445: ($i > $o)). 383.01/54.63 thf(func_def_792, type, sK455: ($i > $i > $o)). 383.01/54.63 thf(func_def_796, type, sK459: ($i > $o)). 383.01/54.63 thf(func_def_838, type, sK501: $o). 383.01/54.63 thf(func_def_844, type, sK507: ($i > $o)). 383.01/54.63 thf(func_def_847, type, sK510: $o). 383.01/54.63 thf(func_def_849, type, sK512: ($i > $i)). 383.01/54.63 thf(func_def_852, type, sK515: ($i > $o)). 383.01/54.63 thf(func_def_856, type, sK519: ($i > $i)). 383.01/54.63 thf(func_def_868, type, sK531: $o). 383.01/54.63 thf(func_def_872, type, sK535: (($i > $o) > $i)). 383.01/54.63 thf(func_def_887, type, sK550: $o). 383.01/54.63 thf(func_def_898, type, sK561: ($i > $o)). 383.01/54.63 thf(func_def_904, type, sK567: ($i > $i)). 383.01/54.63 thf(func_def_914, type, sK577: ($i > $i > $o)). 383.01/54.63 thf(func_def_916, type, sK579: $o). 383.01/54.63 thf(func_def_925, type, sK588: ($i > $i > $o)). 383.01/54.63 thf(func_def_949, type, sK612: ($i > $i > $o)). 383.01/54.63 thf(func_def_953, type, sK616: ($i > $o)). 383.01/54.63 thf(func_def_958, type, sK621: (($i > $o) > $i > $i)). 383.01/54.63 thf(func_def_962, type, sK625: ($i > $i)). 383.01/54.63 thf(func_def_971, type, sK634: ($i > $i)). 383.01/54.63 thf(func_def_975, type, sK638: ($i > $i)). 383.01/54.63 thf(func_def_985, type, sK648: ($i > $i > $i)). 383.01/54.63 thf(func_def_987, type, sK650: ($i > ($i > $o) > $i)). 383.01/54.63 thf(func_def_990, type, sK653: $o). 383.01/54.63 thf(func_def_992, type, sK655: $o). 383.01/54.63 thf(func_def_1025, type, sK688: ($i > $o)). 383.01/54.63 thf(func_def_1027, type, sK690: (($i > $i) > $i > $i > $i)). 383.01/54.63 thf(func_def_1031, type, sK694: $o). 383.01/54.63 thf(func_def_1034, type, sK697: ($i > $i)). 383.01/54.63 thf(func_def_1035, type, sK698: (($i > $i > $o) > $i > $i)). 383.01/54.63 thf(func_def_1040, type, sK703: ($i > $i)). 383.01/54.63 thf(func_def_1041, type, sK704: ($i > $o)). 383.01/54.63 thf(func_def_1044, type, sK707: ($i > $i > $i)). 383.01/54.63 thf(func_def_1045, type, sK708: (($i > $o) > $i > $i)). 383.01/54.63 thf(func_def_1056, type, sK719: (($i > $o) > ($i > $o) > $i)). 383.01/54.63 thf(func_def_1057, type, sK720: $o). 383.01/54.63 thf(func_def_1059, type, sK722: ($i > $i)). 383.01/54.63 thf(func_def_1070, type, sK733: (($i > $o) > $i > $i)). 383.01/54.63 thf(func_def_1077, type, sK740: (($i > $o) > $i > $i)). 383.01/54.63 thf(func_def_1084, type, sK747: ($o > $i > $i > $i)). 383.01/54.63 thf(func_def_1090, type, sK753: ($i > $i)). 383.01/54.63 thf(func_def_1101, type, sK764: ($i > $i > $i > $i)). 383.01/54.63 thf(func_def_1103, type, sK766: (($i > $o) > $i > $i > $i)). 383.01/54.63 thf(func_def_1104, type, sK767: (($i > $o) > ($i > $o) > $i)). 383.01/54.63 thf(func_def_1105, type, sK768: (($i > $o) > $i)). 383.01/54.63 thf(func_def_1108, type, sK771: $o). 383.01/54.63 thf(func_def_1109, type, sK772: ($i > ($i > $o) > $i)). 383.01/54.63 thf(func_def_1110, type, sK773: (($i > $o) > $i > ($i > $o) > $i > $i)). 383.01/54.63 thf(func_def_1112, type, sK775: ($i > $i > $i > $i > $i)). 383.01/54.63 thf(func_def_1113, type, sK776: (($i > $o) > $i)). 383.01/54.63 thf(func_def_1114, type, sK777: ($i > $i > ($i > $o) > $i > $i)). 383.01/54.63 thf(func_def_1115, type, sK778: ($i > $i > $i > $i > $i)). 383.01/54.63 thf(func_def_1116, type, sK779: ($i > $i)). 383.01/54.63 thf(func_def_1117, type, sK780: ($i > $i)). 383.01/54.63 thf(func_def_1118, type, sK781: ($i > $i > $i > $i > $i)). 383.01/54.63 thf(func_def_1119, type, sK782: ($i > $i > $i > ($i > $o) > $i)). 383.01/54.63 thf(func_def_1120, type, sK783: ($i > $i > $i > $i)). 383.01/54.63 thf(func_def_1121, type, sK784: ($i > $i)). 383.01/54.63 thf(func_def_1122, type, sK785: ($i > ($i > $o) > ($i > $o) > $i > $i)). 383.01/54.63 thf(func_def_1123, type, sK786: ($i > $i)). 383.01/54.63 thf(func_def_1124, type, sK787: ($i > $i > $i > $i)). 383.01/54.63 thf(f232,axiom,( 383.01/54.63 (binunionT_lem = ! [X0 : $i,X1 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (in @ (binunion @ X1 @ X2) @ (powerset @ X0)))))), 383.01/54.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionT_lem)). 383.01/54.63 thf(f274,axiom,( 383.01/54.63 (demorgan1 = ! [X0 : $i,X1 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (((setminus @ X0 @ (binintersect @ X1 @ X2))) = ((binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))), 383.01/54.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',demorgan1)). 383.01/54.63 thf(f278,axiom,( 383.01/54.63 (demorgan2 = ! [X0 : $i,X1 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (((setminus @ X0 @ (binunion @ X1 @ X2))) = ((binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))), 383.01/54.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',demorgan2)). 383.01/54.63 thf(f285,conjecture,( 383.01/54.63 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => ! [X3 : $i] : ((in @ X3 @ (powerset @ X0)) => ! [X4 : $i] : ((in @ X4 @ (powerset @ X0)) => (((setminus @ X0 @ (binintersect @ (binunion @ X1 @ X2) @ (binunion @ X3 @ X4)))) = ((binunion @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ (binintersect @ (setminus @ X0 @ X3) @ (setminus @ X0 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',woz1_2)). 383.01/54.63 thf(f286,negated_conjecture,( 383.01/54.63 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => ! [X3 : $i] : ((in @ X3 @ (powerset @ X0)) => ! [X4 : $i] : ((in @ X4 @ (powerset @ X0)) => (((setminus @ X0 @ (binintersect @ (binunion @ X1 @ X2) @ (binunion @ X3 @ X4)))) = ((binunion @ (binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)) @ (binintersect @ (setminus @ X0 @ X3) @ (setminus @ X0 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(negated_conjecture,[status(cth)],[f285])). 383.01/54.63 thf(f312,plain,( 383.01/54.63 (demorgan1 = ! [X0 : $i,X1 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (((setminus @ X0 @ (binintersect @ X1 @ X2))) = ((binunion @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))), 383.01/54.63 inference(rectify,[],[f274])). 383.01/54.63 thf(f313,plain,( 383.01/54.63 (demorgan1 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => ((setminus @ Y1 @ (binintersect @ Y0 @ Y2)) = (binunion @ (setminus @ Y1 @ Y0) @ (setminus @ Y1 @ Y2)))))))))))))), 383.01/54.63 inference(fool_elimination,[],[f312])). 383.01/54.63 thf(f534,plain,( 383.01/54.63 (binunionT_lem = ! [X0 : $i,X1 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (in @ (binunion @ X1 @ X2) @ (powerset @ X0)))))), 383.01/54.63 inference(rectify,[],[f232])). 383.01/54.63 thf(f535,plain,( 383.01/54.63 (binunionT_lem = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => (in @ (binunion @ Y0 @ Y2) @ (powerset @ Y1))))))))))))), 383.01/54.63 inference(fool_elimination,[],[f534])). 383.01/54.63 thf(f558,plain,( 383.01/54.63 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => ! [X0 : $i,X1 : $i] : ((in @ X0 @ (powerset @ X1)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X1)) => ! [X3 : $i] : ((in @ X3 @ (powerset @ X1)) => ! [X4 : $i] : ((in @ X4 @ (powerset @ X1)) => (((setminus @ X1 @ (binintersect @ (binunion @ X0 @ X2) @ (binunion @ X3 @ X4)))) = ((binunion @ (binintersect @ (setminus @ X1 @ X0) @ (setminus @ X1 @ X2)) @ (binintersect @ (setminus @ X1 @ X3) @ (setminus @ X1 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(rectify,[],[f286])). 383.01/54.63 thf(f559,plain,( 383.01/54.63 (((~ (setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)), 383.01/54.63 inference(fool_elimination,[],[f558])). 383.01/54.63 thf(f639,plain,( 383.01/54.63 (demorgan2 = ! [X0 : $i,X1 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ (powerset @ X0)) => (((setminus @ X0 @ (binunion @ X1 @ X2))) = ((binintersect @ (setminus @ X0 @ X1) @ (setminus @ X0 @ X2)))))))), 383.01/54.63 inference(rectify,[],[f278])). 383.01/54.63 thf(f640,plain,( 383.01/54.63 (demorgan2 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => ((setminus @ Y1 @ (binunion @ Y0 @ Y2)) = (binintersect @ (setminus @ Y1 @ Y0) @ (setminus @ Y1 @ Y2)))))))))))))), 383.01/54.63 inference(fool_elimination,[],[f639])). 383.01/54.63 thf(f952,plain,( 383.01/54.63 (binunionT_lem = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => (in @ (binunion @ Y0 @ Y2) @ (powerset @ Y1))))))))))))), 383.01/54.63 inference(cnf_transformation,[],[f535])). 383.01/54.63 thf(f996,plain,( 383.01/54.63 (demorgan1 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => ((setminus @ Y1 @ (binintersect @ Y0 @ Y2)) = (binunion @ (setminus @ Y1 @ Y0) @ (setminus @ Y1 @ Y2)))))))))))))), 383.01/54.63 inference(cnf_transformation,[],[f313])). 383.01/54.63 thf(f1035,plain,( 383.01/54.63 (demorgan2 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => ((setminus @ Y1 @ (binunion @ Y0 @ Y2)) = (binintersect @ (setminus @ Y1 @ Y0) @ (setminus @ Y1 @ Y2)))))))))))))), 383.01/54.63 inference(cnf_transformation,[],[f640])). 383.01/54.63 thf(f1106,plain,( 383.01/54.63 (((~ (setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)), 383.01/54.63 inference(cnf_transformation,[],[f559])). 383.01/54.63 thf(f1364,plain,( 383.01/54.63 (binunionT_lem = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => (in @ (binunion @ Y0 @ Y2) @ (powerset @ Y1))))))))))))), 383.01/54.63 inference(iff_proxy_clausification,[],[f952])). 383.01/54.63 thf(f1581,plain,( 383.01/54.63 ($false = ((setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(not_proxy_clausification,[],[f1106])). 383.01/54.63 thf(f1677,plain,( 383.01/54.63 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => ((setminus @ Y1 @ (binintersect @ Y0 @ Y2)) = (binunion @ (setminus @ Y1 @ Y0) @ (setminus @ Y1 @ Y2))))))))))))) | (demorgan1 = $false)), 383.01/54.63 inference(iff_proxy_clausification,[],[f996])). 383.01/54.63 thf(f1777,plain,( 383.01/54.63 (demorgan2 = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => ((setminus @ Y1 @ (binunion @ Y0 @ Y2)) = (binintersect @ (setminus @ Y1 @ Y0) @ (setminus @ Y1 @ Y2)))))))))))))), 383.01/54.63 inference(iff_proxy_clausification,[],[f1035])). 383.01/54.63 thf(f2058,plain,( 383.01/54.63 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => (in @ (binunion @ Y0 @ Y2) @ (powerset @ Y1))))))))) @ X1)) = $true) | (binunionT_lem = $false)) )), 383.01/54.63 inference(pi_proxy_clausification,[],[f1364])). 383.01/54.63 thf(f2059,plain,( 383.01/54.63 ( ! [X1 : $i] : ((binunionT_lem = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (in @ (binunion @ X1 @ Y1) @ (powerset @ Y0))))))))))) )), 383.01/54.63 inference(beta-eta_normalization,[],[f2058])). 383.01/54.63 thf(f2503,plain,( 383.01/54.63 (((emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f1581])). 383.01/54.63 thf(f2704,plain,( 383.01/54.63 ( ! [X1 : $i] : ((demorgan1 = $false) | ($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => ((setminus @ Y1 @ (binintersect @ Y0 @ Y2)) = (binunion @ (setminus @ Y1 @ Y0) @ (setminus @ Y1 @ Y2)))))))))) @ X1)))) )), 383.01/54.63 inference(pi_proxy_clausification,[],[f1677])). 383.01/54.63 thf(f2705,plain,( 383.01/54.63 ( ! [X1 : $i] : ((demorgan1 = $false) | (((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ X1 @ Y1)) = (binunion @ (setminus @ Y0 @ X1) @ (setminus @ Y0 @ Y1)))))))))) = $true)) )), 383.01/54.63 inference(beta-eta_normalization,[],[f2704])). 383.01/54.63 thf(f2906,plain,( 383.01/54.63 ( ! [X1 : $i] : ((demorgan2 = $false) | ($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y1)) => ((setminus @ Y1 @ (binunion @ Y0 @ Y2)) = (binintersect @ (setminus @ Y1 @ Y0) @ (setminus @ Y1 @ Y2)))))))))) @ X1)))) )), 383.01/54.63 inference(pi_proxy_clausification,[],[f1777])). 383.01/54.63 thf(f2907,plain,( 383.01/54.63 ( ! [X1 : $i] : ((demorgan2 = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binunion @ X1 @ Y1)) = (binintersect @ (setminus @ Y0 @ X1) @ (setminus @ Y0 @ Y1)))))))))))) )), 383.01/54.63 inference(beta-eta_normalization,[],[f2906])). 383.01/54.63 thf(f3198,plain,( 383.01/54.63 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (in @ (binunion @ X1 @ Y1) @ (powerset @ Y0))))))) @ X2))) | (binunionT_lem = $false)) )), 383.01/54.63 inference(pi_proxy_clausification,[],[f2059])). 383.01/54.63 thf(f3199,plain,( 383.01/54.63 ( ! [X2 : $i,X1 : $i] : (($true = (((in @ X1 @ (powerset @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ X2)) => (in @ (binunion @ X1 @ Y0) @ (powerset @ X2)))))))) | (binunionT_lem = $false)) )), 383.01/54.63 inference(beta-eta_normalization,[],[f3198])). 383.01/54.63 thf(f3649,plain,( 383.01/54.63 ($false = ((setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f2503])). 383.01/54.63 thf(f3826,plain,( 383.01/54.63 ( ! [X2 : $i,X1 : $i] : ((demorgan1 = $false) | ((((^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ X1 @ Y1)) = (binunion @ (setminus @ Y0 @ X1) @ (setminus @ Y0 @ Y1)))))))) @ X2)) = $true)) )), 383.01/54.63 inference(pi_proxy_clausification,[],[f2705])). 383.01/54.63 thf(f3827,plain,( 383.01/54.63 ( ! [X2 : $i,X1 : $i] : (($true = (((in @ X1 @ (powerset @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ X2)) => ((setminus @ X2 @ (binintersect @ X1 @ Y0)) = (binunion @ (setminus @ X2 @ X1) @ (setminus @ X2 @ Y0))))))))) | (demorgan1 = $false)) )), 383.01/54.63 inference(beta-eta_normalization,[],[f3826])). 383.01/54.63 thf(f4038,plain,( 383.01/54.63 ( ! [X2 : $i,X1 : $i] : ((demorgan2 = $false) | ($true = (((^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binunion @ X1 @ Y1)) = (binintersect @ (setminus @ Y0 @ X1) @ (setminus @ Y0 @ Y1)))))))) @ X2)))) )), 383.01/54.63 inference(pi_proxy_clausification,[],[f2907])). 383.01/54.63 thf(f4039,plain,( 383.01/54.63 ( ! [X2 : $i,X1 : $i] : ((demorgan2 = $false) | ((((in @ X1 @ (powerset @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ X2)) => ((setminus @ X2 @ (binunion @ X1 @ Y0)) = (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ Y0)))))))) = $true)) )), 383.01/54.63 inference(beta-eta_normalization,[],[f4038])). 383.01/54.63 thf(f4348,plain,( 383.01/54.63 ( ! [X2 : $i,X1 : $i] : ((((in @ X1 @ (powerset @ X2))) = $false) | (binunionT_lem = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ X2)) => (in @ (binunion @ X1 @ Y0) @ (powerset @ X2)))))))) )), 383.01/54.63 inference(imp_proxy_clausification,[],[f3199])). 383.01/54.63 thf(f4836,plain,( 383.01/54.63 ($false = ((powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f3649])). 383.01/54.63 thf(f5068,plain,( 383.01/54.63 ( ! [X2 : $i,X1 : $i] : ((demorgan1 = $false) | (((in @ X1 @ (powerset @ X2))) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ X2)) => ((setminus @ X2 @ (binintersect @ X1 @ Y0)) = (binunion @ (setminus @ X2 @ X1) @ (setminus @ X2 @ Y0))))))))) )), 383.01/54.63 inference(imp_proxy_clausification,[],[f3827])). 383.01/54.63 thf(f5316,plain,( 383.01/54.63 ( ! [X2 : $i,X1 : $i] : ((demorgan2 = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ X2)) => ((setminus @ X2 @ (binunion @ X1 @ Y0)) = (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ Y0)))))))) | (((in @ X1 @ (powerset @ X2))) = $false)) )), 383.01/54.63 inference(imp_proxy_clausification,[],[f4039])). 383.01/54.63 thf(f5766,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X1 @ (powerset @ X2))) = $false) | ((((^[Y0 : $i]: ((in @ Y0 @ (powerset @ X2)) => (in @ (binunion @ X1 @ Y0) @ (powerset @ X2)))) @ X3)) = $true) | (binunionT_lem = $false)) )), 383.01/54.63 inference(pi_proxy_clausification,[],[f4348])). 383.01/54.63 thf(f5767,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X1 @ (powerset @ X2))) = $false) | ($true = (((in @ X3 @ (powerset @ X2)) => (in @ (binunion @ X1 @ X3) @ (powerset @ X2))))) | (binunionT_lem = $false)) )), 383.01/54.63 inference(beta-eta_normalization,[],[f5766])). 383.01/54.63 thf(f5771,definition,( 383.01/54.63 spl84_222 <=> (binunionT_lem = $true)), 383.01/54.63 introduced(definition,[new_symbols(definition,[spl84_222])],[avatar_definition])). 383.01/54.63 thf(f5772,plain,( 383.01/54.63 (binunionT_lem = $true) | ~spl84_222), 383.01/54.63 inference(avatar_component_clause,[],[f5771])). 383.01/54.63 thf(f6405,plain,( 383.01/54.63 (((setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f4836])). 383.01/54.63 thf(f6668,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X1 @ (powerset @ X2))) = $false) | (demorgan1 = $false) | ((((^[Y0 : $i]: ((in @ Y0 @ (powerset @ X2)) => ((setminus @ X2 @ (binintersect @ X1 @ Y0)) = (binunion @ (setminus @ X2 @ X1) @ (setminus @ X2 @ Y0))))) @ X3)) = $true)) )), 383.01/54.63 inference(pi_proxy_clausification,[],[f5068])). 383.01/54.63 thf(f6669,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((in @ X3 @ (powerset @ X2)) => ((setminus @ X2 @ (binintersect @ X1 @ X3)) = (binunion @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))))) = $true) | (demorgan1 = $false) | (((in @ X1 @ (powerset @ X2))) = $false)) )), 383.01/54.63 inference(beta-eta_normalization,[],[f6668])). 383.01/54.63 thf(f6673,definition,( 383.01/54.63 spl84_355 <=> (demorgan1 = $true)), 383.01/54.63 introduced(definition,[new_symbols(definition,[spl84_355])],[avatar_definition])). 383.01/54.63 thf(f6674,plain,( 383.01/54.63 (demorgan1 = $true) | ~spl84_355), 383.01/54.63 inference(avatar_component_clause,[],[f6673])). 383.01/54.63 thf(f6954,definition,( 383.01/54.63 spl84_395 <=> (demorgan2 = $true)), 383.01/54.63 introduced(definition,[new_symbols(definition,[spl84_395])],[avatar_definition])). 383.01/54.63 thf(f6955,plain,( 383.01/54.63 (demorgan2 = $true) | ~spl84_395), 383.01/54.63 inference(avatar_component_clause,[],[f6954])). 383.01/54.63 thf(f6957,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((demorgan2 = $false) | ($true = (((^[Y0 : $i]: ((in @ Y0 @ (powerset @ X2)) => ((setminus @ X2 @ (binunion @ X1 @ Y0)) = (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ Y0))))) @ X3))) | (((in @ X1 @ (powerset @ X2))) = $false)) )), 383.01/54.63 inference(pi_proxy_clausification,[],[f5316])). 383.01/54.63 thf(f6958,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((demorgan2 = $false) | (((in @ X1 @ (powerset @ X2))) = $false) | ((((in @ X3 @ (powerset @ X2)) => ((setminus @ X2 @ (binunion @ X1 @ X3)) = (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))))) = $true)) )), 383.01/54.63 inference(beta-eta_normalization,[],[f6957])). 383.01/54.63 thf(f7464,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((binunionT_lem = $false) | (((in @ X1 @ (powerset @ X2))) = $false) | ($true = ((in @ (binunion @ X1 @ X3) @ (powerset @ X2)))) | (((in @ X3 @ (powerset @ X2))) = $false)) )), 383.01/54.63 inference(imp_proxy_clausification,[],[f5767])). 383.01/54.63 thf(f8117,plain,( 383.01/54.63 ($false = ((omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f6405])). 383.01/54.63 thf(f8377,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((setminus @ X2 @ (binintersect @ X1 @ X3)) = (binunion @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))))) | (((in @ X1 @ (powerset @ X2))) = $false) | (demorgan1 = $false) | (((in @ X3 @ (powerset @ X2))) = $false)) )), 383.01/54.63 inference(imp_proxy_clausification,[],[f6669])). 383.01/54.63 thf(f8680,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((demorgan2 = $false) | ((((setminus @ X2 @ (binunion @ X1 @ X3)) = (binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)))) = $true) | (((in @ X1 @ (powerset @ X2))) = $false) | (((in @ X3 @ (powerset @ X2))) = $false)) )), 383.01/54.63 inference(imp_proxy_clausification,[],[f6958])). 383.01/54.63 thf(f9000,definition,( 383.01/54.63 spl84_735 <=> (binunionT_lem = $false)), 383.01/54.63 introduced(definition,[new_symbols(definition,[spl84_735])],[avatar_definition])). 383.01/54.63 thf(f9001,plain,( 383.01/54.63 (binunionT_lem = $false) | ~spl84_735), 383.01/54.63 inference(avatar_component_clause,[],[f9000])). 383.01/54.63 thf(f9003,definition,( 383.01/54.63 spl84_736 <=> ! [X2 : $i,X1 : $i,X3 : $i] : ((((in @ X1 @ (powerset @ X2))) = $false) | (((in @ X3 @ (powerset @ X2))) = $false) | ($true = ((in @ (binunion @ X1 @ X3) @ (powerset @ X2)))))), 383.01/54.63 introduced(definition,[new_symbols(definition,[spl84_736])],[avatar_definition])). 383.01/54.63 thf(f9004,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ (binunion @ X1 @ X3) @ (powerset @ X2)))) | (((in @ X3 @ (powerset @ X2))) = $false) | (((in @ X1 @ (powerset @ X2))) = $false)) ) | ~spl84_736), 383.01/54.63 inference(avatar_component_clause,[],[f9003])). 383.01/54.63 thf(f9005,plain,( 383.01/54.63 spl84_735 | spl84_736), 383.01/54.63 inference(avatar_split_clause,[],[f7464,f9003,f9000])). 383.01/54.63 thf(f9554,plain,( 383.01/54.63 ($false = ((omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f8117])). 383.01/54.63 thf(f9803,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X3 @ (powerset @ X2))) = $false) | (((in @ X1 @ (powerset @ X2))) = $false) | (demorgan1 = $false) | (((binunion @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))) = ((setminus @ X2 @ (binintersect @ X1 @ X3))))) )), 383.01/54.63 inference(equality_proxy_clausification,[],[f8377])). 383.01/54.63 thf(f10104,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((demorgan2 = $false) | (((in @ X3 @ (powerset @ X2))) = $false) | (((in @ X1 @ (powerset @ X2))) = $false) | (((setminus @ X2 @ (binunion @ X1 @ X3))) = ((binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))))) )), 383.01/54.63 inference(equality_proxy_clausification,[],[f8680])). 383.01/54.63 thf(f10963,plain,( 383.01/54.63 ($false = ((omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f9554])). 383.01/54.63 thf(f11166,definition,( 383.01/54.63 spl84_1131 <=> ! [X2 : $i,X1 : $i,X3 : $i] : ((((in @ X3 @ (powerset @ X2))) = $false) | (((binunion @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))) = ((setminus @ X2 @ (binintersect @ X1 @ X3)))) | (((in @ X1 @ (powerset @ X2))) = $false))), 383.01/54.63 introduced(definition,[new_symbols(definition,[spl84_1131])],[avatar_definition])). 383.01/54.63 thf(f11167,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((binunion @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3))) = ((setminus @ X2 @ (binintersect @ X1 @ X3)))) | (((in @ X3 @ (powerset @ X2))) = $false) | (((in @ X1 @ (powerset @ X2))) = $false)) ) | ~spl84_1131), 383.01/54.63 inference(avatar_component_clause,[],[f11166])). 383.01/54.63 thf(f11169,definition,( 383.01/54.63 spl84_1132 <=> (demorgan1 = $false)), 383.01/54.63 introduced(definition,[new_symbols(definition,[spl84_1132])],[avatar_definition])). 383.01/54.63 thf(f11170,plain,( 383.01/54.63 (demorgan1 = $false) | ~spl84_1132), 383.01/54.63 inference(avatar_component_clause,[],[f11169])). 383.01/54.63 thf(f11171,plain,( 383.01/54.63 spl84_1131 | spl84_1132), 383.01/54.63 inference(avatar_split_clause,[],[f9803,f11169,f11166])). 383.01/54.63 thf(f11303,definition,( 383.01/54.63 spl84_1159 <=> (demorgan2 = $false)), 383.01/54.63 introduced(definition,[new_symbols(definition,[spl84_1159])],[avatar_definition])). 383.01/54.63 thf(f11304,plain,( 383.01/54.63 (demorgan2 = $false) | ~spl84_1159), 383.01/54.63 inference(avatar_component_clause,[],[f11303])). 383.01/54.63 thf(f11306,definition,( 383.01/54.63 spl84_1160 <=> ! [X2 : $i,X1 : $i,X3 : $i] : ((((in @ X3 @ (powerset @ X2))) = $false) | (((setminus @ X2 @ (binunion @ X1 @ X3))) = ((binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)))) | (((in @ X1 @ (powerset @ X2))) = $false))), 383.01/54.63 introduced(definition,[new_symbols(definition,[spl84_1160])],[avatar_definition])). 383.01/54.63 thf(f11307,plain,( 383.01/54.63 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((setminus @ X2 @ (binunion @ X1 @ X3))) = ((binintersect @ (setminus @ X2 @ X1) @ (setminus @ X2 @ X3)))) | (((in @ X1 @ (powerset @ X2))) = $false) | (((in @ X3 @ (powerset @ X2))) = $false)) ) | ~spl84_1160), 383.01/54.63 inference(avatar_component_clause,[],[f11306])). 383.01/54.63 thf(f11308,plain,( 383.01/54.63 spl84_1159 | spl84_1160), 383.01/54.63 inference(avatar_split_clause,[],[f10104,f11306,f11303])). 383.01/54.63 thf(f11831,plain,( 383.01/54.63 (((replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f10963])). 383.01/54.63 thf(f12469,plain,( 383.01/54.63 ($false = ((foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f11831])). 383.01/54.63 thf(f13037,plain,( 383.01/54.63 ($false = ((wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f12469])). 383.01/54.63 thf(f13478,plain,( 383.01/54.63 (((descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f13037])). 383.01/54.63 thf(f13688,plain,( 383.01/54.63 ($false = ((dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f13478])). 383.01/54.63 thf(f13857,plain,( 383.01/54.63 ($false = ((dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f13688])). 383.01/54.63 thf(f14020,plain,( 383.01/54.63 ($false = ((dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f13857])). 383.01/54.63 thf(f14170,plain,( 383.01/54.63 (((exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f14020])). 383.01/54.63 thf(f14287,plain,( 383.01/54.63 (((prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f14170])). 383.01/54.63 thf(f14377,plain,( 383.01/54.63 ($false = ((emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f14287])). 383.01/54.63 thf(f14451,plain,( 383.01/54.63 (((emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f14377])). 383.01/54.63 thf(f14587,plain,( 383.01/54.63 ($false = ((notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f14451])). 383.01/54.63 thf(f14736,plain,( 383.01/54.63 (((exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f14587])). 383.01/54.63 thf(f14886,plain,( 383.01/54.63 ($false = ((setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f14736])). 383.01/54.63 thf(f15048,plain,( 383.01/54.63 ($false = ((emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f14886])). 383.01/54.63 thf(f15266,plain,( 383.01/54.63 (((noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f15048])). 383.01/54.63 thf(f15516,plain,( 383.01/54.63 ($false = ((setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => 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(powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f16035])). 383.01/54.63 thf(f16466,plain,( 383.01/54.63 ($false = ((setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => 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=> (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f16255])). 383.01/54.63 thf(f16728,plain,( 383.01/54.63 ($false = ((emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f16466])). 383.01/54.63 thf(f16994,plain,( 383.01/54.63 (((setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f16728])). 383.01/54.63 thf(f17417,plain,( 383.01/54.63 ($false = ((setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.63 inference(imp_proxy_clausification,[],[f16994])). 383.01/54.63 thf(f18022,plain,( 383.01/54.63 (((setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.63 inference(imp_proxy_clausification,[],[f17417])). 383.01/54.63 thf(f18604,plain,( 383.01/54.63 ($false = ((setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f18022])). 383.01/54.64 thf(f19444,plain,( 383.01/54.64 ($false = ((powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f18604])). 383.01/54.64 thf(f20054,plain,( 383.01/54.64 (((emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => 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=> (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f19444])). 383.01/54.64 thf(f20599,plain,( 383.01/54.64 (((emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f20054])). 383.01/54.64 thf(f21166,plain,( 383.01/54.64 (((powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f20599])). 383.01/54.64 thf(f21233,plain,( 383.01/54.64 (((setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21166])). 383.01/54.64 thf(f21491,plain,( 383.01/54.64 ($false = ((setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21233])). 383.01/54.64 thf(f21494,plain,( 383.01/54.64 ($false = ((subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21491])). 383.01/54.64 thf(f21497,plain,( 383.01/54.64 (((exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21494])). 383.01/54.64 thf(f21501,plain,( 383.01/54.64 ($false = ((nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21497])). 383.01/54.64 thf(f21503,plain,( 383.01/54.64 (((uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21501])). 383.01/54.64 thf(f21507,plain,( 383.01/54.64 (((notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21503])). 383.01/54.64 thf(f21509,plain,( 383.01/54.64 (((eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21507])). 383.01/54.64 thf(f21512,plain,( 383.01/54.64 ($false = ((singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21509])). 383.01/54.64 thf(f21515,plain,( 383.01/54.64 ($false = ((upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21512])). 383.01/54.64 thf(f21518,plain,( 383.01/54.64 ($false = ((upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21515])). 383.01/54.64 thf(f21522,plain,( 383.01/54.64 ($false = ((upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21518])). 383.01/54.64 thf(f21525,plain,( 383.01/54.64 ($false = ((emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => 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(singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21522])). 383.01/54.64 thf(f21527,plain,( 383.01/54.64 ($false = ((vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => 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(contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21525])). 383.01/54.64 thf(f21530,plain,( 383.01/54.64 ($false = ((quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => 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(ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21527])). 383.01/54.64 thf(f21533,plain,( 383.01/54.64 ($false = ((quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21530])). 383.01/54.64 thf(f21536,plain,( 383.01/54.64 (((quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21533])). 383.01/54.64 thf(f21539,plain,( 383.01/54.64 ($false = ((quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21536])). 383.01/54.64 thf(f21543,plain,( 383.01/54.64 ($false = ((prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21539])). 383.01/54.64 thf(f21545,plain,( 383.01/54.64 (((prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21543])). 383.01/54.64 thf(f21548,plain,( 383.01/54.64 (((notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21545])). 383.01/54.64 thf(f21552,plain,( 383.01/54.64 (((notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21548])). 383.01/54.64 thf(f21554,plain,( 383.01/54.64 (((exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21552])). 383.01/54.64 thf(f21557,plain,( 383.01/54.64 (((exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21554])). 383.01/54.64 thf(f21560,plain,( 383.01/54.64 ($false = ((exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21557])). 383.01/54.64 thf(f21563,plain,( 383.01/54.64 ($false = ((inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21560])). 383.01/54.64 thf(f21566,plain,( 383.01/54.64 (((in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21563])). 383.01/54.64 thf(f21568,plain,( 383.01/54.64 (((exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21566])). 383.01/54.64 thf(f21571,plain,( 383.01/54.64 ($false = ((exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21568])). 383.01/54.64 thf(f21574,plain,( 383.01/54.64 ($false = ((emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21571])). 383.01/54.64 thf(f21577,plain,( 383.01/54.64 (((setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21574])). 383.01/54.64 thf(f21580,plain,( 383.01/54.64 ($false = ((powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21577])). 383.01/54.64 thf(f21583,plain,( 383.01/54.64 (((setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21580])). 383.01/54.64 thf(f21585,plain,( 383.01/54.64 ($false = ((omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21583])). 383.01/54.64 thf(f21589,plain,( 383.01/54.64 ($false = ((exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => 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=> (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21597])). 383.01/54.64 thf(f21603,plain,( 383.01/54.64 ($false = ((eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21600])). 383.01/54.64 thf(f21605,plain,( 383.01/54.64 ($false = ((subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21603])). 383.01/54.64 thf(f21609,plain,( 383.01/54.64 (((emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21605])). 383.01/54.64 thf(f21611,plain,( 383.01/54.64 ($false = ((subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21609])). 383.01/54.64 thf(f21614,plain,( 383.01/54.64 (((subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21611])). 383.01/54.64 thf(f21617,plain,( 383.01/54.64 ($false = ((notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21614])). 383.01/54.64 thf(f21621,plain,( 383.01/54.64 (((notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21617])). 383.01/54.64 thf(f21624,plain,( 383.01/54.64 ($false = ((notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21621])). 383.01/54.64 thf(f21626,plain,( 383.01/54.64 ($false = ((subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21624])). 383.01/54.64 thf(f21629,plain,( 383.01/54.64 ($false = ((subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21626])). 383.01/54.64 thf(f21633,plain,( 383.01/54.64 ($false = ((setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21629])). 383.01/54.64 thf(f21636,plain,( 383.01/54.64 ($false = ((setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21633])). 383.01/54.64 thf(f21638,plain,( 383.01/54.64 (((subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21636])). 383.01/54.64 thf(f21641,plain,( 383.01/54.64 (((setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21638])). 383.01/54.64 thf(f21644,plain,( 383.01/54.64 (((subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21641])). 383.01/54.64 thf(f21648,plain,( 383.01/54.64 (((powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21644])). 383.01/54.64 thf(f21651,plain,( 383.01/54.64 ($false = ((powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21648])). 383.01/54.64 thf(f21654,plain,( 383.01/54.64 (((inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21651])). 383.01/54.64 thf(f21657,plain,( 383.01/54.64 ($false = ((powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21654])). 383.01/54.64 thf(f21660,plain,( 383.01/54.64 ($false = ((sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21657])). 383.01/54.64 thf(f21662,plain,( 383.01/54.64 ($false = ((sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21660])). 383.01/54.64 thf(f21665,plain,( 383.01/54.64 ($false = ((binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21662])). 383.01/54.64 thf(f21668,plain,( 383.01/54.64 ($false = ((upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21665])). 383.01/54.64 thf(f21671,plain,( 383.01/54.64 ($false = ((binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21668])). 383.01/54.64 thf(f21674,plain,( 383.01/54.64 (((binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21671])). 383.01/54.64 thf(f21678,plain,( 383.01/54.64 (((binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21674])). 383.01/54.64 thf(f21680,plain,( 383.01/54.64 ($false = ((binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21678])). 383.01/54.64 thf(f21684,plain,( 383.01/54.64 ($false = ((binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21680])). 383.01/54.64 thf(f21687,plain,( 383.01/54.64 ($false = ((binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21684])). 383.01/54.64 thf(f21690,plain,( 383.01/54.64 ($false = ((binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21687])). 383.01/54.64 thf(f21693,plain,( 383.01/54.64 (((binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21690])). 383.01/54.64 thf(f21695,plain,( 383.01/54.64 ($false = ((binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21693])). 383.01/54.64 thf(f21699,plain,( 383.01/54.64 ($false = ((binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21695])). 383.01/54.64 thf(f21702,plain,( 383.01/54.64 ($false = ((binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21699])). 383.01/54.64 thf(f21705,plain,( 383.01/54.64 ($false = ((binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21702])). 383.01/54.64 thf(f21707,plain,( 383.01/54.64 ($false = ((disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21705])). 383.01/54.64 thf(f21711,plain,( 383.01/54.64 ($false = ((binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21707])). 383.01/54.64 thf(f21713,plain,( 383.01/54.64 ($false = ((binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21711])). 383.01/54.64 thf(f21716,plain,( 383.01/54.64 (((binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21713])). 383.01/54.64 thf(f21719,plain,( 383.01/54.64 ($false = ((bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21716])). 383.01/54.64 thf(f21722,plain,( 383.01/54.64 (((setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21719])). 383.01/54.64 thf(f21726,plain,( 383.01/54.64 ($false = ((setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21722])). 383.01/54.64 thf(f21729,plain,( 383.01/54.64 (((setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21726])). 383.01/54.64 thf(f21731,plain,( 383.01/54.64 ($false = ((setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21729])). 383.01/54.64 thf(f21734,plain,( 383.01/54.64 ($false = ((setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21731])). 383.01/54.64 thf(f21738,plain,( 383.01/54.64 ($false = ((setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21734])). 383.01/54.64 thf(f21740,plain,( 383.01/54.64 ($false = ((setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21738])). 383.01/54.64 thf(f21743,plain,( 383.01/54.64 ($false = ((setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21740])). 383.01/54.64 thf(f21746,plain,( 383.01/54.64 ($false = ((setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21743])). 383.01/54.64 thf(f21750,plain,( 383.01/54.64 ($false = ((setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21746])). 383.01/54.64 thf(f21753,plain,( 383.01/54.64 (((symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21750])). 383.01/54.64 thf(f21755,plain,( 383.01/54.64 (((symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21753])). 383.01/54.64 thf(f21759,plain,( 383.01/54.64 ($false = ((symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21755])). 383.01/54.64 thf(f21761,plain,( 383.01/54.64 (((symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21759])). 383.01/54.64 thf(f21764,plain,( 383.01/54.64 ($false = ((symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21761])). 383.01/54.64 thf(f21767,plain,( 383.01/54.64 (((secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21764])). 383.01/54.64 thf(f21770,plain,( 383.01/54.64 ($false = ((setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21767])). 383.01/54.64 thf(f21774,plain,( 383.01/54.64 ($false = ((setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21770])). 383.01/54.64 thf(f21777,plain,( 383.01/54.64 ($false = ((kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21774])). 383.01/54.64 thf(f21780,plain,( 383.01/54.64 ($false = ((kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21777])). 383.01/54.64 thf(f21782,plain,( 383.01/54.64 ($false = ((singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21780])). 383.01/54.64 thf(f21785,plain,( 383.01/54.64 ($false = ((singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21782])). 383.01/54.64 thf(f21788,plain,( 383.01/54.64 ($false = ((singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21785])). 383.01/54.64 thf(f21792,plain,( 383.01/54.64 ($false = ((upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21788])). 383.01/54.64 thf(f21794,plain,( 383.01/54.64 (((upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21792])). 383.01/54.64 thf(f21798,plain,( 383.01/54.64 ($false = ((upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21794])). 383.01/54.64 thf(f21800,plain,( 383.01/54.64 (((ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21798])). 383.01/54.64 thf(f21803,plain,( 383.01/54.64 ($false = ((ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21800])). 383.01/54.64 thf(f21807,plain,( 383.01/54.64 ($false = ((ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21803])). 383.01/54.64 thf(f21810,plain,( 383.01/54.64 ($false = ((cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21807])). 383.01/54.64 thf(f21813,plain,( 383.01/54.64 ($false = ((cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21810])). 383.01/54.64 thf(f21815,plain,( 383.01/54.64 ($false = ((cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21813])). 383.01/54.64 thf(f21819,plain,( 383.01/54.64 (((setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21815])). 383.01/54.64 thf(f21821,plain,( 383.01/54.64 ($false = ((setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21819])). 383.01/54.64 thf(f21825,plain,( 383.01/54.64 ($false = ((setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21821])). 383.01/54.64 thf(f21828,plain,( 383.01/54.64 (((setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21825])). 383.01/54.64 thf(f21830,plain,( 383.01/54.64 ($false = ((singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21828])). 383.01/54.64 thf(f21834,plain,( 383.01/54.64 ($false = ((ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21830])). 383.01/54.64 thf(f21837,plain,( 383.01/54.64 ($false = ((ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21834])). 383.01/54.64 thf(f21839,plain,( 383.01/54.64 ($false = ((ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21837])). 383.01/54.64 thf(f21842,plain,( 383.01/54.64 ($false = ((singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21839])). 383.01/54.64 thf(f21845,plain,( 383.01/54.64 (((setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21842])). 383.01/54.64 thf(f21849,plain,( 383.01/54.64 ($false = ((kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21845])). 383.01/54.64 thf(f21852,plain,( 383.01/54.64 (((theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21849])). 383.01/54.64 thf(f21855,plain,( 383.01/54.64 ($false = ((kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21852])). 383.01/54.64 thf(f21858,plain,( 383.01/54.64 (((cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21855])). 383.01/54.64 thf(f21860,plain,( 383.01/54.64 ($false = ((setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21858])). 383.01/54.64 thf(f21864,plain,( 383.01/54.64 ($false = ((setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21860])). 383.01/54.64 thf(f21866,plain,( 383.01/54.64 ($false = ((setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21864])). 383.01/54.64 thf(f21870,plain,( 383.01/54.64 ($false = ((setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21866])). 383.01/54.64 thf(f21872,plain,( 383.01/54.64 ($false = ((setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21870])). 383.01/54.64 thf(f21876,plain,( 383.01/54.64 (((upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21872])). 383.01/54.64 thf(f21878,plain,( 383.01/54.64 ($false = ((setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21876])). 383.01/54.64 thf(f21882,plain,( 383.01/54.64 (((setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21878])). 383.01/54.64 thf(f21885,plain,( 383.01/54.64 ($false = ((ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21882])). 383.01/54.64 thf(f21888,plain,( 383.01/54.64 ($false = ((ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21885])). 383.01/54.64 thf(f21891,plain,( 383.01/54.64 ($false = ((kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21888])). 383.01/54.64 thf(f21894,plain,( 383.01/54.64 ($false = ((cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21891])). 383.01/54.64 thf(f21897,plain,( 383.01/54.64 (((cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21894])). 383.01/54.64 thf(f21899,plain,( 383.01/54.64 (((cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21897])). 383.01/54.64 thf(f21902,plain,( 383.01/54.64 ($false = ((cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21899])). 383.01/54.64 thf(f21906,plain,( 383.01/54.64 ($false = ((cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21902])). 383.01/54.64 thf(f21908,plain,( 383.01/54.64 ($false = ((cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21906])). 383.01/54.64 thf(f21911,plain,( 383.01/54.64 (((cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21908])). 383.01/54.64 thf(f21913,plain,( 383.01/54.64 (((dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21911])). 383.01/54.64 thf(f21917,plain,( 383.01/54.64 ($false = ((dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21913])). 383.01/54.64 thf(f21919,plain,( 383.01/54.64 ($false = ((setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21917])). 383.01/54.64 thf(f21923,plain,( 383.01/54.64 (((dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21919])). 383.01/54.64 thf(f21926,plain,( 383.01/54.64 ($false = ((dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21923])). 383.01/54.64 thf(f21928,plain,( 383.01/54.64 (((dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21926])). 383.01/54.64 thf(f21931,plain,( 383.01/54.64 ($false = ((dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21928])). 383.01/54.64 thf(f21935,plain,( 383.01/54.64 (((funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21931])). 383.01/54.64 thf(f21938,plain,( 383.01/54.64 ($false = ((apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21935])). 383.01/54.64 thf(f21940,plain,( 383.01/54.64 ($false = ((app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21938])). 383.01/54.64 thf(f21944,plain,( 383.01/54.64 (((infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21940])). 383.01/54.64 thf(f21947,plain,( 383.01/54.64 ($false = ((ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21944])). 383.01/54.64 thf(f21950,plain,( 383.01/54.64 ($false = ((funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21947])). 383.01/54.64 thf(f21953,plain,( 383.01/54.64 ($false = ((lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21950])). 383.01/54.64 thf(f21956,plain,( 383.01/54.64 ($false = ((lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21953])). 383.01/54.64 thf(f21958,plain,( 383.01/54.64 (((lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21956])). 383.01/54.64 thf(f21962,plain,( 383.01/54.64 ($false = ((brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21958])). 383.01/54.64 thf(f21964,plain,( 383.01/54.64 (((brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21962])). 383.01/54.64 thf(f21968,plain,( 383.01/54.64 (((ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21964])). 383.01/54.64 thf(f21971,plain,( 383.01/54.64 (((funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21968])). 383.01/54.64 thf(f21974,plain,( 383.01/54.64 (((funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21971])). 383.01/54.64 thf(f21976,plain,( 383.01/54.64 ($false = ((funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21974])). 383.01/54.64 thf(f21979,plain,( 383.01/54.64 ($false = ((funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21976])). 383.01/54.64 thf(f21983,plain,( 383.01/54.64 ($false = ((funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21979])). 383.01/54.64 thf(f21985,plain,( 383.01/54.64 (((subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21983])). 383.01/54.64 thf(f21989,plain,( 383.01/54.64 (((eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21985])). 383.01/54.64 thf(f21991,plain,( 383.01/54.64 (((funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f21989])). 383.01/54.64 thf(f21995,plain,( 383.01/54.64 ($false = ((funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21991])). 383.01/54.64 thf(f21998,plain,( 383.01/54.64 ($false = ((ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21995])). 383.01/54.64 thf(f22000,plain,( 383.01/54.64 ($false = ((ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f21998])). 383.01/54.64 thf(f22003,plain,( 383.01/54.64 ($false = ((beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22000])). 383.01/54.64 thf(f22005,plain,( 383.01/54.64 ($false = ((eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22003])). 383.01/54.64 thf(f22007,plain,( 383.01/54.64 ($false = ((lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => 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(powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22030])). 383.01/54.64 thf(f22036,plain,( 383.01/54.64 ($false = ((iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22033])). 383.01/54.64 thf(f22040,plain,( 383.01/54.64 (((iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22036])). 383.01/54.64 thf(f22043,plain,( 383.01/54.64 ($false = ((iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22040])). 383.01/54.64 thf(f22046,plain,( 383.01/54.64 ($false = ((binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22043])). 383.01/54.64 thf(f22049,plain,( 383.01/54.64 (((binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22046])). 383.01/54.64 thf(f22052,plain,( 383.01/54.64 ($false = ((powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22049])). 383.01/54.64 thf(f22053,plain,( 383.01/54.64 (binunionT_lem = $true)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22049])). 383.01/54.64 thf(f22054,plain,( 383.01/54.64 spl84_222), 383.01/54.64 inference(avatar_split_clause,[],[f22053,f5771])). 383.01/54.64 thf(f22055,plain,( 383.01/54.64 ($false = ((setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22052])). 383.01/54.64 thf(f22057,plain,( 383.01/54.64 ($false = ((complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22055])). 383.01/54.64 thf(f22060,plain,( 383.01/54.64 (((setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22057])). 383.01/54.64 thf(f22063,plain,( 383.01/54.64 ($false = ((subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22060])). 383.01/54.64 thf(f22066,plain,( 383.01/54.64 ($false = ((powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22063])). 383.01/54.64 thf(f22069,plain,( 383.01/54.64 ($false = ((powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => 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(powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22066])). 383.01/54.64 thf(f22073,plain,( 383.01/54.64 ($false = ((complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22069])). 383.01/54.64 thf(f22076,plain,( 383.01/54.64 ($false = ((complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22073])). 383.01/54.64 thf(f22078,plain,( 383.01/54.64 ($false = ((binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22076])). 383.01/54.64 thf(f22082,plain,( 383.01/54.64 ($false = ((binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22078])). 383.01/54.64 thf(f22084,plain,( 383.01/54.64 (((contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22082])). 383.01/54.64 thf(f22087,plain,( 383.01/54.64 ($false = ((contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22084])). 383.01/54.64 thf(f22091,plain,( 383.01/54.64 ($false = ((contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22087])). 383.01/54.64 thf(f22093,plain,( 383.01/54.64 ($false = ((contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22091])). 383.01/54.64 thf(f22097,plain,( 383.01/54.64 ($false = ((doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22093])). 383.01/54.64 thf(f22100,plain,( 383.01/54.64 (((doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22097])). 383.01/54.64 thf(f22102,plain,( 383.01/54.64 (((doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22100])). 383.01/54.64 thf(f22105,plain,( 383.01/54.64 ($false = ((doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22102])). 383.01/54.64 thf(f22108,plain,( 383.01/54.64 (((doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22105])). 383.01/54.64 thf(f22112,plain,( 383.01/54.64 ($false = ((complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22108])). 383.01/54.64 thf(f22114,plain,( 383.01/54.64 ($false = ((complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22112])). 383.01/54.64 thf(f22118,plain,( 383.01/54.64 ($false = ((complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22114])). 383.01/54.64 thf(f22120,plain,( 383.01/54.64 (((complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22118])). 383.01/54.64 thf(f22123,plain,( 383.01/54.64 ($false = ((contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22120])). 383.01/54.64 thf(f22127,plain,( 383.01/54.64 ($false = ((complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22123])). 383.01/54.64 thf(f22129,plain,( 383.01/54.64 ($false = ((binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.64 inference(imp_proxy_clausification,[],[f22127])). 383.01/54.64 thf(f22133,plain,( 383.01/54.64 (((binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.64 inference(imp_proxy_clausification,[],[f22129])). 383.01/54.64 thf(f22136,plain,( 383.01/54.64 ($false = ((inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22133])). 383.01/54.65 thf(f22138,plain,( 383.01/54.65 (((inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22136])). 383.01/54.65 thf(f22142,plain,( 383.01/54.65 (((inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22138])). 383.01/54.65 thf(f22145,plain,( 383.01/54.65 (((intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22142])). 383.01/54.65 thf(f22148,plain,( 383.01/54.65 ($false = ((inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22145])). 383.01/54.65 thf(f22151,plain,( 383.01/54.65 ($false = ((inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22148])). 383.01/54.65 thf(f22153,plain,( 383.01/54.65 (((binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22151])). 383.01/54.65 thf(f22157,plain,( 383.01/54.65 ($false = ((binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22153])). 383.01/54.65 thf(f22160,plain,( 383.01/54.65 ($false = ((demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22157])). 383.01/54.65 thf(f22162,plain,( 383.01/54.65 (((complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22160])). 383.01/54.65 thf(f22165,plain,( 383.01/54.65 ($false = ((demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22162])). 383.01/54.65 thf(f22169,plain,( 383.01/54.65 ($false = ((demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22165])). 383.01/54.65 thf(f22171,plain,( 383.01/54.65 (((demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22169])). 383.01/54.65 thf(f22174,plain,( 383.01/54.65 ($false = ((demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22171])). 383.01/54.65 thf(f22177,plain,( 383.01/54.65 ($false = ((demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22174])). 383.01/54.65 thf(f22178,plain,( 383.01/54.65 (demorgan1 = $true)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22174])). 383.01/54.65 thf(f22180,plain,( 383.01/54.65 ($false = ((demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22177])). 383.01/54.65 thf(f22182,plain,( 383.01/54.65 spl84_355), 383.01/54.65 inference(avatar_split_clause,[],[f22178,f6673])). 383.01/54.65 thf(f22184,plain,( 383.01/54.65 ($false = ((demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22180])). 383.01/54.65 thf(f22187,plain,( 383.01/54.65 ($false = ((demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22184])). 383.01/54.65 thf(f22189,plain,( 383.01/54.65 (((woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22187])). 383.01/54.65 thf(f22190,plain,( 383.01/54.65 (demorgan2 = $true)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22187])). 383.01/54.65 thf(f22192,plain,( 383.01/54.65 (((woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22189])). 383.01/54.65 thf(f22194,plain,( 383.01/54.65 spl84_395), 383.01/54.65 inference(avatar_split_clause,[],[f22190,f6954])). 383.01/54.65 thf(f22195,plain,( 383.01/54.65 ($false = ((woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22192])). 383.01/54.65 thf(f22198,plain,( 383.01/54.65 ($false = ((woz13rule3 => (woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22195])). 383.01/54.65 thf(f22202,plain,( 383.01/54.65 ($false = ((woz13rule4 => (woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22198])). 383.01/54.65 thf(f22205,plain,( 383.01/54.65 ($false = ((woz1_1 => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4)))))))))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22202])). 383.01/54.65 thf(f22208,plain,( 383.01/54.65 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22205])). 383.01/54.65 thf(f22211,plain,( 383.01/54.65 ($false = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ Y0)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ Y0)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ Y0)) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ (powerset @ Y0)) => ((setminus @ Y0 @ (binintersect @ (binunion @ Y1 @ Y2) @ (binunion @ Y3 @ Y4))) = (binunion @ (binintersect @ (setminus @ Y0 @ Y1) @ (setminus @ Y0 @ Y2)) @ (binintersect @ (setminus @ Y0 @ Y3) @ (setminus @ Y0 @ Y4))))))))))))))))) @ sK788)))), 383.01/54.65 inference(sigma_proxy_clausification,[],[f22208])). 383.01/54.65 thf(f22212,plain,( 383.01/54.65 ($false = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ sK788)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ sK788)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ Y0 @ Y1) @ (binunion @ Y2 @ Y3))) = (binunion @ (binintersect @ (setminus @ sK788 @ Y0) @ (setminus @ sK788 @ Y1)) @ (binintersect @ (setminus @ sK788 @ Y2) @ (setminus @ sK788 @ Y3))))))))))))))))))), 383.01/54.65 inference(beta-eta_normalization,[],[f22211])). 383.01/54.65 thf(f22213,plain,( 383.01/54.65 ($false = (((^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ sK788)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ sK788)) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ Y0 @ Y1) @ (binunion @ Y2 @ Y3))) = (binunion @ (binintersect @ (setminus @ sK788 @ Y0) @ (setminus @ sK788 @ Y1)) @ (binintersect @ (setminus @ sK788 @ Y2) @ (setminus @ sK788 @ Y3))))))))))))))) @ sK789)))), 383.01/54.65 inference(sigma_proxy_clausification,[],[f22212])). 383.01/54.65 thf(f22214,plain,( 383.01/54.65 ((((in @ sK789 @ (powerset @ sK788)) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ sK788)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ Y0) @ (binunion @ Y1 @ Y2))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ Y0)) @ (binintersect @ (setminus @ sK788 @ Y1) @ (setminus @ sK788 @ Y2))))))))))))))) = $false)), 383.01/54.65 inference(beta-eta_normalization,[],[f22213])). 383.01/54.65 thf(f22215,plain,( 383.01/54.65 ($false = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ sK788)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ Y0) @ (binunion @ Y1 @ Y2))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ Y0)) @ (binintersect @ (setminus @ sK788 @ Y1) @ (setminus @ sK788 @ Y2)))))))))))))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22214])). 383.01/54.65 thf(f22216,plain,( 383.01/54.65 ($true = ((in @ sK789 @ (powerset @ sK788))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22214])). 383.01/54.65 thf(f22217,plain,( 383.01/54.65 ((((^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ sK788)) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ Y0) @ (binunion @ Y1 @ Y2))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ Y0)) @ (binintersect @ (setminus @ sK788 @ Y1) @ (setminus @ sK788 @ Y2)))))))))))) @ sK790)) = $false)), 383.01/54.65 inference(sigma_proxy_clausification,[],[f22215])). 383.01/54.65 thf(f22218,plain,( 383.01/54.65 ((((in @ sK790 @ (powerset @ sK788)) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ Y0 @ Y1))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ sK790)) @ (binintersect @ (setminus @ sK788 @ Y0) @ (setminus @ sK788 @ Y1)))))))))))) = $false)), 383.01/54.65 inference(beta-eta_normalization,[],[f22217])). 383.01/54.65 thf(f22219,plain,( 383.01/54.65 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ Y0 @ Y1))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ sK790)) @ (binintersect @ (setminus @ sK788 @ Y0) @ (setminus @ sK788 @ Y1))))))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22218])). 383.01/54.65 thf(f22220,plain,( 383.01/54.65 (((in @ sK790 @ (powerset @ sK788))) = $true)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22218])). 383.01/54.65 thf(f22221,plain,( 383.01/54.65 ($false = (((^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ Y0 @ Y1))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ sK790)) @ (binintersect @ (setminus @ sK788 @ Y0) @ (setminus @ sK788 @ Y1))))))))) @ sK791)))), 383.01/54.65 inference(sigma_proxy_clausification,[],[f22219])). 383.01/54.65 thf(f22222,plain,( 383.01/54.65 ((((in @ sK791 @ (powerset @ sK788)) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ Y0))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ Y0))))))))) = $false)), 383.01/54.65 inference(beta-eta_normalization,[],[f22221])). 383.01/54.65 thf(f22223,plain,( 383.01/54.65 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ Y0))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ Y0)))))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22222])). 383.01/54.65 thf(f22224,plain,( 383.01/54.65 ($true = ((in @ sK791 @ (powerset @ sK788))))), 383.01/54.65 inference(imp_proxy_clausification,[],[f22222])). 383.01/54.65 thf(f22225,plain,( 383.01/54.65 ((((^[Y0 : $i]: ((in @ Y0 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ Y0))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ Y0)))))) @ sK792)) = $false)), 383.01/54.65 inference(sigma_proxy_clausification,[],[f22223])). 383.01/54.65 thf(f22226,plain,( 383.01/54.65 ((((in @ sK792 @ (powerset @ sK788)) => ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ sK792)))))) = $false)), 383.01/54.65 inference(beta-eta_normalization,[],[f22225])). 383.01/54.65 thf(f22227,plain,( 383.01/54.65 ((((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792))) = (binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ sK792))))) = $false)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22226])). 383.01/54.65 thf(f22228,plain,( 383.01/54.65 (((in @ sK792 @ (powerset @ sK788))) = $true)), 383.01/54.65 inference(imp_proxy_clausification,[],[f22226])). 383.01/54.65 thf(f22229,plain,( 383.01/54.65 (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (binintersect @ (setminus @ sK788 @ sK789) @ (setminus @ sK788 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ sK792)))))), 383.01/54.65 inference(equality_proxy_clausification,[],[f22227])). 383.01/54.65 thf(f22749,plain,( 383.01/54.65 ($false = $true) | (~spl84_222 | ~spl84_735)), 383.01/54.65 inference(forward_demodulation,[],[f5772,f9001])). 383.01/54.65 thf(f22750,plain,( 383.01/54.65 $false | (~spl84_222 | ~spl84_735)), 383.01/54.65 inference(trivial_inequality_removal,[],[f22749])). 383.01/54.65 thf(f22751,plain,( 383.01/54.65 ~spl84_222 | ~spl84_735), 383.01/54.65 inference(avatar_contradiction_clause,[],[f22750])). 383.01/54.65 thf(f26118,plain,( 383.01/54.65 ($false = $true) | (~spl84_395 | ~spl84_1159)), 383.01/54.65 inference(forward_demodulation,[],[f6955,f11304])). 383.01/54.65 thf(f26119,plain,( 383.01/54.65 $false | (~spl84_395 | ~spl84_1159)), 383.01/54.65 inference(trivial_inequality_removal,[],[f26118])). 383.01/54.65 thf(f26120,plain,( 383.01/54.65 ~spl84_395 | ~spl84_1159), 383.01/54.65 inference(avatar_contradiction_clause,[],[f26119])). 383.01/54.65 thf(f26146,plain,( 383.01/54.65 ($false = ((in @ sK789 @ (powerset @ sK788)))) | (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ sK792))))) | ($false = ((in @ sK790 @ (powerset @ sK788)))) | ~spl84_1160), 383.01/54.65 inference(constrained_superposition,[],[f22229,f11307])). 383.01/54.65 thf(f26151,plain,( 383.01/54.65 (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ sK792))))) | ($false = $true) | ($false = ((in @ sK790 @ (powerset @ sK788)))) | ~spl84_1160), 383.01/54.65 inference(forward_demodulation,[],[f26146,f22216])). 383.01/54.65 thf(f26152,plain,( 383.01/54.65 ($false = ((in @ sK790 @ (powerset @ sK788)))) | (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ sK792))))) | ~spl84_1160), 383.01/54.65 inference(trivial_inequality_removal,[],[f26151])). 383.01/54.65 thf(f26167,plain,( 383.01/54.65 ($false = $true) | (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ sK792))))) | ~spl84_1160), 383.01/54.65 inference(forward_demodulation,[],[f26152,f22220])). 383.01/54.65 thf(f26168,plain,( 383.01/54.65 (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (binintersect @ (setminus @ sK788 @ sK791) @ (setminus @ sK788 @ sK792))))) | ~spl84_1160), 383.01/54.65 inference(trivial_inequality_removal,[],[f26167])). 383.01/54.65 thf(f27015,plain,( 383.01/54.65 ($false = ((in @ sK792 @ (powerset @ sK788)))) | ($false = ((in @ sK791 @ (powerset @ sK788)))) | (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (setminus @ sK788 @ (binunion @ sK791 @ sK792))))) | ~spl84_1160), 383.01/54.65 inference(constrained_superposition,[],[f26168,f11307])). 383.01/54.65 thf(f27017,plain,( 383.01/54.65 (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (setminus @ sK788 @ (binunion @ sK791 @ sK792))))) | ($false = $true) | ($false = ((in @ sK791 @ (powerset @ sK788)))) | ~spl84_1160), 383.01/54.65 inference(forward_demodulation,[],[f27015,f22228])). 383.01/54.65 thf(f27018,plain,( 383.01/54.65 (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (setminus @ sK788 @ (binunion @ sK791 @ sK792))))) | ($false = ((in @ sK791 @ (powerset @ sK788)))) | ~spl84_1160), 383.01/54.65 inference(trivial_inequality_removal,[],[f27017])). 383.01/54.65 thf(f27026,plain,( 383.01/54.65 (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (setminus @ sK788 @ (binunion @ sK791 @ sK792))))) | ($false = $true) | ~spl84_1160), 383.01/54.65 inference(forward_demodulation,[],[f27018,f22224])). 383.01/54.65 thf(f27027,plain,( 383.01/54.65 (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((binunion @ (setminus @ sK788 @ (binunion @ sK789 @ sK790)) @ (setminus @ sK788 @ (binunion @ sK791 @ sK792))))) | ~spl84_1160), 383.01/54.65 inference(trivial_inequality_removal,[],[f27026])). 383.01/54.65 thf(f27693,definition,( 383.01/54.65 spl84_2715 <=> ($false = ((in @ (binunion @ sK789 @ sK790) @ (powerset @ sK788))))), 383.01/54.65 introduced(definition,[new_symbols(definition,[spl84_2715])],[avatar_definition])). 383.01/54.65 thf(f27694,plain,( 383.01/54.65 ($false = ((in @ (binunion @ sK789 @ sK790) @ (powerset @ sK788)))) | ~spl84_2715), 383.01/54.65 inference(avatar_component_clause,[],[f27693])). 383.01/54.65 thf(f27696,definition,( 383.01/54.65 spl84_2716 <=> ($false = ((in @ (binunion @ sK791 @ sK792) @ (powerset @ sK788))))), 383.01/54.65 introduced(definition,[new_symbols(definition,[spl84_2716])],[avatar_definition])). 383.01/54.65 thf(f27697,plain,( 383.01/54.65 ($false = ((in @ (binunion @ sK791 @ sK792) @ (powerset @ sK788)))) | ~spl84_2716), 383.01/54.65 inference(avatar_component_clause,[],[f27696])). 383.01/54.65 thf(f27707,plain,( 383.01/54.65 ($false = $true) | (~spl84_355 | ~spl84_1132)), 383.01/54.65 inference(constrained_superposition,[],[f11170,f6674])). 383.01/54.65 thf(f27711,plain,( 383.01/54.65 $false | (~spl84_355 | ~spl84_1132)), 383.01/54.65 inference(trivial_inequality_removal,[],[f27707])). 383.01/54.65 thf(f27712,plain,( 383.01/54.65 ~spl84_355 | ~spl84_1132), 383.01/54.65 inference(avatar_contradiction_clause,[],[f27711])). 383.01/54.65 thf(f27842,plain,( 383.01/54.65 ($false = ((in @ (binunion @ sK789 @ sK790) @ (powerset @ sK788)))) | ($false = ((in @ (binunion @ sK791 @ sK792) @ (powerset @ sK788)))) | (((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792)))) != ((setminus @ sK788 @ (binintersect @ (binunion @ sK789 @ sK790) @ (binunion @ sK791 @ sK792))))) | (~spl84_1131 | ~spl84_1160)), 383.01/54.65 inference(constrained_superposition,[],[f27027,f11167])). 383.01/54.65 thf(f27843,plain,( 383.01/54.65 ($false = ((in @ (binunion @ sK791 @ sK792) @ (powerset @ sK788)))) | ($false = ((in @ (binunion @ sK789 @ sK790) @ (powerset @ sK788)))) | (~spl84_1131 | ~spl84_1160)), 383.01/54.65 inference(trivial_inequality_removal,[],[f27842])). 383.01/54.65 thf(f27844,plain,( 383.01/54.65 spl84_2715 | spl84_2716 | ~spl84_1131 | ~spl84_1160), 383.01/54.65 inference(avatar_split_clause,[],[f27843,f11306,f11166,f27696,f27693])). 383.01/54.65 thf(f40968,plain,( 383.01/54.65 ($false = ((in @ sK789 @ (powerset @ sK788)))) | ($false = ((in @ sK790 @ (powerset @ sK788)))) | ($false = $true) | (~spl84_736 | ~spl84_2715)), 383.01/54.65 inference(constrained_superposition,[],[f9004,f27694])). 383.01/54.65 thf(f40970,plain,( 383.01/54.65 ($false = ((in @ sK789 @ (powerset @ sK788)))) | ($false = ((in @ sK790 @ (powerset @ sK788)))) | (~spl84_736 | ~spl84_2715)), 383.01/54.65 inference(trivial_inequality_removal,[],[f40968])). 383.01/54.65 thf(f40979,plain,( 383.01/54.65 ($false = ((in @ sK790 @ (powerset @ sK788)))) | ($false = $true) | (~spl84_736 | ~spl84_2715)), 383.01/54.65 inference(forward_demodulation,[],[f40970,f22216])). 383.01/54.65 thf(f40980,plain,( 383.01/54.65 ($false = ((in @ sK790 @ (powerset @ sK788)))) | (~spl84_736 | ~spl84_2715)), 383.01/54.65 inference(trivial_inequality_removal,[],[f40979])). 383.01/54.65 thf(f40996,plain,( 383.01/54.65 ($false = $true) | (~spl84_736 | ~spl84_2715)), 383.01/54.65 inference(constrained_superposition,[],[f22220,f40980])). 383.01/54.65 thf(f41001,plain,( 383.01/54.65 $false | (~spl84_736 | ~spl84_2715)), 383.01/54.65 inference(trivial_inequality_removal,[],[f40996])). 383.01/54.65 thf(f41002,plain,( 383.01/54.65 ~spl84_736 | ~spl84_2715), 383.01/54.65 inference(avatar_contradiction_clause,[],[f41001])). 383.01/54.65 thf(f41054,plain,( 383.01/54.65 ($false = ((in @ sK791 @ (powerset @ sK788)))) | ($false = $true) | ($false = ((in @ sK792 @ (powerset @ sK788)))) | (~spl84_736 | ~spl84_2716)), 383.01/54.65 inference(constrained_superposition,[],[f27697,f9004])). 383.01/54.65 thf(f41063,plain,( 383.01/54.65 ($false = ((in @ sK791 @ (powerset @ sK788)))) | ($false = ((in @ sK792 @ (powerset @ sK788)))) | (~spl84_736 | ~spl84_2716)), 383.01/54.65 inference(trivial_inequality_removal,[],[f41054])). 383.01/54.65 thf(f41070,plain,( 383.01/54.65 ($false = $true) | ($false = ((in @ sK792 @ (powerset @ sK788)))) | (~spl84_736 | ~spl84_2716)), 383.01/54.65 inference(forward_demodulation,[],[f41063,f22224])). 383.01/54.65 thf(f41071,plain,( 383.01/54.65 ($false = ((in @ sK792 @ (powerset @ sK788)))) | (~spl84_736 | ~spl84_2716)), 383.01/54.65 inference(trivial_inequality_removal,[],[f41070])). 383.01/54.65 thf(f41120,plain,( 383.01/54.65 ($false = $true) | (~spl84_736 | ~spl84_2716)), 383.01/54.65 inference(constrained_superposition,[],[f41071,f22228])). 383.01/54.65 thf(f41135,plain,( 383.01/54.65 $false | (~spl84_736 | ~spl84_2716)), 383.01/54.65 inference(trivial_inequality_removal,[],[f41120])). 383.01/54.65 thf(f41136,plain,( 383.01/54.65 ~spl84_736 | ~spl84_2716), 383.01/54.65 inference(avatar_contradiction_clause,[],[f41135])). 383.01/54.65 cnf(s423, plain, spl84_735 | spl84_736, inference(sat_conversion,[],[f9005])). 383.01/54.65 cnf(s739, plain, spl84_1131 | spl84_1132, inference(sat_conversion,[],[f11171])). 383.01/54.65 cnf(s764, plain, spl84_1159 | spl84_1160, inference(sat_conversion,[],[f11308])). 383.01/54.65 cnf(s2362, plain, spl84_222, inference(sat_conversion,[],[f22054])). 383.01/54.65 cnf(s2404, plain, spl84_355, inference(sat_conversion,[],[f22182])). 383.01/54.65 cnf(s2408, plain, spl84_395, inference(sat_conversion,[],[f22194])). 383.01/54.65 cnf(s2482, plain, ~spl84_222 | ~spl84_735, inference(sat_conversion,[],[f22751])). 383.01/54.65 cnf(s2624, plain, ~spl84_395 | ~spl84_1159, inference(sat_conversion,[],[f26120])). 383.01/54.65 cnf(s2690, plain, ~spl84_355 | ~spl84_1132, inference(sat_conversion,[],[f27712])). 383.01/54.65 cnf(s2695, plain, ~spl84_1131 | ~spl84_1160 | spl84_2715 | spl84_2716, inference(sat_conversion,[],[f27844])). 383.01/54.65 cnf(s3220, plain, ~spl84_736 | ~spl84_2715, inference(sat_conversion,[],[f41002])). 383.01/54.65 cnf(s3222, plain, ~spl84_736 | ~spl84_2716, inference(sat_conversion,[],[f41136])). 383.01/54.65 cnf(s3237, plain, ~spl84_1159, inference(rat,[],[s2624,s2408])). 383.01/54.65 cnf(s3240, plain, ~spl84_1132, inference(rat,[],[s2690,s2404])). 383.01/54.65 cnf(s3262, plain, ~spl84_735, inference(rat,[],[s2482,s2362])). 383.01/54.65 cnf(s3584, plain, spl84_1160, inference(rat,[],[s764,s3237])). 383.01/54.65 cnf(s3588, plain, spl84_1131, inference(rat,[],[s739,s3240])). 383.01/54.65 cnf(s3637, plain, spl84_736, inference(rat,[],[s423,s3262])). 383.01/54.65 cnf(s3638, plain, ~spl84_2716, inference(rat,[],[s3222,s3637])). 383.01/54.65 cnf(s3639, plain, ~spl84_2715, inference(rat,[],[s3220,s3637])). 383.01/54.65 cnf(s3640, plain, $false, inference(rat,[],[s2695,s3588,s3584,s3638,s3639])). 383.01/54.65 thf(f41138,plain,( 383.01/54.65 $false), 383.01/54.65 inference(avatar_sat_refutation,[],[s3640])). 383.01/54.65 % SZS output end Proof for theBenchmark 383.01/54.65 % (955497)------------------------------ 383.01/54.65 % (955497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 383.01/54.65 % (955497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 383.01/54.65 % (955497)CaDiCaL version: 2.1.3 383.01/54.65 % (955497)Termination reason: Refutation 383.01/54.65 % (955497)Time elapsed: 3.049 s 383.01/54.65 % (955497)Peak memory usage: 33 MB 383.01/54.65 % (955497)Instructions burned: 6490 (million) 383.01/54.65 % (954409)Success in time 54.207 s 383.01/54.65 % Vampire exiting 383.01/54.65 EOF