0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.20/0.48 % Computer : n007.cluster.edu 0.20/0.48 % Model : x86_64 x86_64 0.20/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.20/0.48 % Memory : 8046.5625MB 0.20/0.48 % OS : Linux 6.8.0-71-generic 0.20/0.48 % CPULimit : 1440 0.20/0.48 % WCLimit : 180 0.20/0.48 % DateTime : Mon Jul 27 12:34:49 UTC 2026 0.20/0.48 % CPUTime : 0.20/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.26/0.55 Running higher-order theorem proving 0.41/0.69 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.45/0.91 % (1050244)Detected a higher-order problem, will run a greedy HOL sequence. 0.45/0.91 % (1050249)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3503509986:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi) 0.45/0.91 % (1050255)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on 0.45/0.91 % (1050255)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 0.45/0.91 % (1050252)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=3029603498: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) 0.45/0.91 % (1050251)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3555948659:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi) 0.45/0.91 % (1050250)lrs+10_16_si=on:nwc=1.5:random_seed=4077286991:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi) 0.45/0.91 % (1050253)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3543374746:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi) 0.45/0.91 % (1050254)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1017950564:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi) 0.45/0.91 % (1050255)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=1078158872:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi) 0.45/0.91 % (1050251)Instruction limit reached! 0.45/0.91 % (1050251)------------------------------ 0.45/0.91 % (1050251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/0.91 % (1050251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/0.91 % (1050251)CaDiCaL version: 2.1.3 0.45/0.91 % (1050251)Termination reason: Instruction limit 0.45/0.91 % (1050251)Termination phase: shuffling 0.45/0.91 % (1050251)Time elapsed: 0.004 s 0.45/0.91 % (1050251)Peak memory usage: 10 MB 0.45/0.91 % (1050251)Instructions burned: 3 (million) 0.45/0.91 % (1050250)Instruction limit reached! 0.45/0.91 % (1050250)------------------------------ 0.45/0.91 % (1050250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/0.91 % (1050250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/0.91 % (1050250)CaDiCaL version: 2.1.3 0.45/0.91 % (1050250)Termination reason: Instruction limit 0.45/0.91 % (1050250)Termination phase: shuffling 0.45/0.91 % (1050250)Time elapsed: 0.018 s 0.45/0.91 % (1050250)Peak memory usage: 10 MB 0.45/0.91 % (1050250)Instructions burned: 19 (million) 0.45/0.91 % (1050253)Instruction limit reached! 0.45/0.91 % (1050253)------------------------------ 0.45/0.91 % (1050253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/0.91 % (1050253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/0.91 % (1050253)CaDiCaL version: 2.1.3 0.45/0.91 % (1050253)Termination reason: Instruction limit 0.45/0.91 % (1050253)Termination phase: shuffling 0.45/0.91 % (1050253)Time elapsed: 0.022 s 0.45/0.91 % (1050253)Peak memory usage: 10 MB 0.45/0.91 % (1050253)Instructions burned: 24 (million) 0.45/0.91 % (1050249)Instruction limit reached! 0.45/0.91 % (1050249)------------------------------ 0.45/0.91 % (1050249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/0.91 % (1050249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/0.91 % (1050249)CaDiCaL version: 2.1.3 0.45/0.91 % (1050249)Termination reason: Instruction limit 0.45/0.91 % (1050249)Termination phase: Preprocessing 3 0.45/0.91 % (1050249)Time elapsed: 0.042 s 0.45/0.91 % (1050249)Peak memory usage: 12 MB 0.45/0.91 % (1050249)Instructions burned: 88 (million) 0.45/0.91 % (1050263)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2236949053:i=2:hud=10:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 0.45/0.91 % (1050263)Instruction limit reached! 0.45/0.91 % (1050263)------------------------------ 0.45/0.91 % (1050263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/0.98 % (1050263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/0.98 % (1050263)CaDiCaL version: 2.1.3 0.45/0.98 % (1050263)Termination reason: Instruction limit 0.45/0.98 % (1050263)Termination phase: shuffling 0.45/0.98 % (1050263)Time elapsed: 0.003 s 0.45/0.98 % (1050263)Peak memory usage: 10 MB 0.45/0.98 % (1050263)Instructions burned: 2 (million) 0.45/0.98 % (1050266)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3094363187:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_1799 on theBenchmark for (1799ds/12Mi) 0.45/0.98 % (1050265)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 0.45/0.98 % (1050264)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1359998581:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1799 on theBenchmark for (1799ds/5Mi) 0.45/0.98 % (1050266)Instruction limit reached! 0.45/0.98 % (1050266)------------------------------ 0.45/0.98 % (1050266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/0.98 % (1050266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/0.98 % (1050266)CaDiCaL version: 2.1.3 0.45/0.98 % (1050266)Termination reason: Instruction limit 0.45/0.98 % (1050266)Termination phase: shuffling 0.45/0.98 % (1050266)Time elapsed: 0.006 s 0.45/0.98 % (1050266)Peak memory usage: 10 MB 0.45/0.98 % (1050266)Instructions burned: 13 (million) 0.45/0.98 % (1050264)Instruction limit reached! 0.45/0.98 % (1050264)------------------------------ 0.45/0.98 % (1050264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/0.98 % (1050264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/0.98 % (1050264)CaDiCaL version: 2.1.3 0.45/0.98 % (1050264)Termination reason: Instruction limit 0.45/0.98 % (1050264)Termination phase: shuffling 0.45/0.98 % (1050264)Time elapsed: 0.005 s 0.45/0.98 % (1050264)Peak memory usage: 10 MB 0.45/0.98 % (1050264)Instructions burned: 5 (million) 0.45/0.98 % (1050265)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3245170624:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1799 on theBenchmark for (1799ds/7Mi) 0.45/0.98 % (1050265)Instruction limit reached! 0.45/0.98 % (1050265)------------------------------ 0.45/0.98 % (1050265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/0.98 % (1050265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/0.98 % (1050265)CaDiCaL version: 2.1.3 0.45/0.98 % (1050265)Termination reason: Instruction limit 0.45/0.98 % (1050265)Termination phase: shuffling 0.45/0.98 % (1050265)Time elapsed: 0.007 s 0.45/0.98 % (1050265)Peak memory usage: 10 MB 0.45/0.98 % (1050265)Instructions burned: 8 (million) 0.45/0.98 % (1050254)Instruction limit reached! 0.45/0.98 % (1050254)------------------------------ 0.45/0.98 % (1050254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/0.98 % (1050254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/0.98 % (1050254)CaDiCaL version: 2.1.3 0.45/0.98 % (1050254)Termination reason: Instruction limit 0.45/0.98 % (1050254)Termination phase: Preprocessing 3 0.45/0.98 % (1050254)Time elapsed: 0.067 s 0.45/0.98 % (1050254)Peak memory usage: 12 MB 0.45/0.98 % (1050254)Instructions burned: 75 (million) 0.45/0.98 % (1050268)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 0.45/0.98 % (1050268)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 0.45/0.98 % (1050271)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=886390155:i=86:piset=equals:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/86Mi) 0.45/0.98 % (1050268)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3459472084:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1798 on theBenchmark for (1798ds/28Mi) 0.45/0.98 % (1050273)lrs+10_1_si=on:cs=on:random_seed=2942537495:i=8:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/8Mi) 0.45/0.98 % (1050274)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on 0.45/1.06 % (1050274)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=2659059355:i=2:add=on:rtra=on_1798 on theBenchmark for (1798ds/2Mi) 0.45/1.06 % (1050273)Instruction limit reached! 0.45/1.06 % (1050273)------------------------------ 0.45/1.06 % (1050273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/1.06 % (1050273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/1.06 % (1050273)CaDiCaL version: 2.1.3 0.45/1.06 % (1050273)Termination reason: Instruction limit 0.45/1.06 % (1050273)Termination phase: shuffling 0.45/1.06 % (1050273)Time elapsed: 0.007 s 0.45/1.06 % (1050273)Peak memory usage: 10 MB 0.45/1.06 % (1050273)Instructions burned: 8 (million) 0.45/1.06 % (1050274)Instruction limit reached! 0.45/1.06 % (1050274)------------------------------ 0.45/1.06 % (1050274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/1.06 % (1050274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/1.06 % (1050274)CaDiCaL version: 2.1.3 0.45/1.06 % (1050274)Termination reason: Instruction limit 0.45/1.06 % (1050274)Termination phase: shuffling 0.45/1.06 % (1050274)Time elapsed: 0.003 s 0.45/1.06 % (1050274)Peak memory usage: 10 MB 0.45/1.06 % (1050274)Instructions burned: 2 (million) 0.45/1.06 % (1050275)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2188807218:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_1798 on theBenchmark for (1798ds/38Mi) 0.45/1.06 % (1050268)Instruction limit reached! 0.45/1.06 % (1050268)------------------------------ 0.45/1.06 % (1050268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/1.06 % (1050268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/1.06 % (1050268)CaDiCaL version: 2.1.3 0.45/1.06 % (1050268)Termination reason: Instruction limit 0.45/1.06 % (1050268)Termination phase: shuffling 0.45/1.06 % (1050268)Time elapsed: 0.025 s 0.45/1.06 % (1050268)Peak memory usage: 10 MB 0.45/1.06 % (1050268)Instructions burned: 28 (million) 0.45/1.06 % (1050271)Instruction limit reached! 0.45/1.06 % (1050271)------------------------------ 0.45/1.06 % (1050271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/1.06 % (1050271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/1.06 % (1050271)CaDiCaL version: 2.1.3 0.45/1.06 % (1050271)Termination reason: Instruction limit 0.45/1.06 % (1050271)Termination phase: Property scanning 0.45/1.06 % (1050271)Time elapsed: 0.038 s 0.45/1.06 % (1050271)Peak memory usage: 11 MB 0.45/1.06 % (1050271)Instructions burned: 87 (million) 0.45/1.06 % (1050284)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3265306017:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/327Mi) 0.45/1.06 % (1050280)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=398527921:st=2:i=249:sd=1:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/249Mi) 0.45/1.06 % (1050281)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3834004653:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1798 on theBenchmark for (1798ds/25Mi) 0.45/1.06 % (1050275)Instruction limit reached! 0.45/1.06 % (1050275)------------------------------ 0.45/1.06 % (1050275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/1.06 % (1050275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/1.06 % (1050275)CaDiCaL version: 2.1.3 0.45/1.06 % (1050275)Termination reason: Instruction limit 0.45/1.06 % (1050275)Termination phase: Property scanning 0.45/1.06 % (1050275)Time elapsed: 0.034 s 0.45/1.06 % (1050275)Peak memory usage: 11 MB 0.45/1.06 % (1050275)Instructions burned: 38 (million) 0.45/1.06 % (1050255)Instruction limit reached! 0.45/1.06 % (1050255)------------------------------ 0.45/1.06 % (1050255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.45/1.06 % (1050255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.45/1.06 % (1050255)CaDiCaL version: 2.1.3 0.45/1.06 % (1050255)Termination reason: Instruction limit 0.45/1.06 % (1050255)Termination phase: Property scanning 0.45/1.06 % (1050255)Time elapsed: 0.135 s 0.45/1.06 % (1050255)Peak memory usage: 12 MB 2.72/1.14 % (1050255)Instructions burned: 157 (million) 2.72/1.14 % (1050283)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=478861750:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_1798 on theBenchmark for (1798ds/14Mi) 2.72/1.14 % (1050283)Instruction limit reached! 2.72/1.14 % (1050283)------------------------------ 2.72/1.14 % (1050283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.72/1.14 % (1050283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.72/1.14 % (1050283)CaDiCaL version: 2.1.3 2.72/1.14 % (1050283)Termination reason: Instruction limit 2.72/1.14 % (1050283)Termination phase: shuffling 2.72/1.14 % (1050283)Time elapsed: 0.013 s 2.72/1.14 % (1050283)Peak memory usage: 10 MB 2.72/1.14 % (1050283)Instructions burned: 14 (million) 2.72/1.14 % (1050281)Instruction limit reached! 2.72/1.14 % (1050281)------------------------------ 2.72/1.14 % (1050281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.72/1.14 % (1050281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.72/1.14 % (1050281)CaDiCaL version: 2.1.3 2.72/1.14 % (1050281)Termination reason: Instruction limit 2.72/1.14 % (1050281)Termination phase: shuffling 2.72/1.14 % (1050281)Time elapsed: 0.023 s 2.72/1.14 % (1050281)Peak memory usage: 10 MB 2.72/1.14 % (1050281)Instructions burned: 25 (million) 2.72/1.14 % (1050290)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2465955385:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_1797 on theBenchmark for (1797ds/2Mi) 2.72/1.14 % (1050289)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1919168859:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_1797 on theBenchmark for (1797ds/14Mi) 2.72/1.14 % (1050290)Instruction limit reached! 2.72/1.14 % (1050290)------------------------------ 2.72/1.14 % (1050290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.72/1.14 % (1050290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.72/1.14 % (1050290)CaDiCaL version: 2.1.3 2.72/1.14 % (1050290)Termination reason: Instruction limit 2.72/1.14 % (1050290)Termination phase: shuffling 2.72/1.14 % (1050290)Time elapsed: 0.003 s 2.72/1.14 % (1050290)Peak memory usage: 10 MB 2.72/1.14 % (1050290)Instructions burned: 2 (million) 2.72/1.14 % (1050291)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=278408059:i=26:ep=R:rtra=on:ntd=on_1797 on theBenchmark for (1797ds/26Mi) 2.72/1.14 % (1050289)Instruction limit reached! 2.72/1.14 % (1050289)------------------------------ 2.72/1.14 % (1050289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.72/1.14 % (1050289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.72/1.14 % (1050289)CaDiCaL version: 2.1.3 2.72/1.14 % (1050289)Termination reason: Instruction limit 2.72/1.14 % (1050289)Termination phase: shuffling 2.72/1.14 % (1050289)Time elapsed: 0.015 s 2.72/1.14 % (1050289)Peak memory usage: 10 MB 2.72/1.14 % (1050289)Instructions burned: 14 (million) 2.72/1.14 % (1050292)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1019850516:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_1797 on theBenchmark for (1797ds/23Mi) 2.72/1.14 % (1050291)Instruction limit reached! 2.72/1.14 % (1050291)------------------------------ 2.72/1.14 % (1050291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.72/1.14 % (1050291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.72/1.14 % (1050291)CaDiCaL version: 2.1.3 2.72/1.14 % (1050291)Termination reason: Instruction limit 2.72/1.14 % (1050291)Termination phase: shuffling 2.72/1.14 % (1050291)Time elapsed: 0.024 s 2.72/1.14 % (1050291)Peak memory usage: 10 MB 2.72/1.14 % (1050291)Instructions burned: 26 (million) 2.72/1.14 % (1050295)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=685076060:cond=on:i=60:rtra=on:ntd=on_1797 on theBenchmark for (1797ds/60Mi) 2.72/1.14 % (1050292)Instruction limit reached! 2.72/1.14 % (1050292)------------------------------ 2.72/1.14 % (1050292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.72/1.14 % (1050292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.72/1.14 % (1050292)CaDiCaL version: 2.1.3 3.23/1.24 % (1050292)Termination reason: Instruction limit 3.23/1.24 % (1050292)Termination phase: shuffling 3.23/1.24 % (1050292)Time elapsed: 0.022 s 3.23/1.24 % (1050292)Peak memory usage: 10 MB 3.23/1.24 % (1050292)Instructions burned: 24 (million) 3.23/1.24 % (1050297)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 3.23/1.24 % (1050297)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs 3.23/1.24 % (1050297)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=1709543733:i=14:add=off:nm=40:rtra=on:rawr=on_1797 on theBenchmark for (1797ds/14Mi) 3.23/1.24 % (1050299)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off 3.23/1.24 % (1050299)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=152560357:i=8:nm=2:rtra=on:fe=abstraction:inj=on_1797 on theBenchmark for (1797ds/8Mi) 3.23/1.24 % (1050301)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=2136583424:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_1797 on theBenchmark for (1797ds/31Mi) 3.23/1.24 % (1050297)Instruction limit reached! 3.23/1.24 % (1050297)------------------------------ 3.23/1.24 % (1050297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.23/1.24 % (1050297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.23/1.24 % (1050297)CaDiCaL version: 2.1.3 3.23/1.24 % (1050297)Termination reason: Instruction limit 3.23/1.24 % (1050297)Termination phase: shuffling 3.23/1.24 % (1050297)Time elapsed: 0.023 s 3.23/1.24 % (1050297)Peak memory usage: 10 MB 3.23/1.24 % (1050297)Instructions burned: 14 (million) 3.23/1.24 % (1050299)Instruction limit reached! 3.23/1.24 % (1050299)------------------------------ 3.23/1.24 % (1050299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.23/1.24 % (1050299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.23/1.24 % (1050299)CaDiCaL version: 2.1.3 3.23/1.24 % (1050299)Termination reason: Instruction limit 3.23/1.24 % (1050299)Termination phase: shuffling 3.23/1.24 % (1050299)Time elapsed: 0.009 s 3.23/1.24 % (1050299)Peak memory usage: 10 MB 3.23/1.24 % (1050299)Instructions burned: 8 (million) 3.23/1.24 % (1050295)Instruction limit reached! 3.23/1.24 % (1050295)------------------------------ 3.23/1.24 % (1050295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.23/1.24 % (1050295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.23/1.24 % (1050295)CaDiCaL version: 2.1.3 3.23/1.24 % (1050295)Termination reason: Instruction limit 3.23/1.24 % (1050295)Termination phase: Preprocessing 3 3.23/1.24 % (1050295)Time elapsed: 0.057 s 3.23/1.24 % (1050295)Peak memory usage: 12 MB 3.23/1.24 % (1050295)Instructions burned: 60 (million) 3.23/1.24 % (1050284)Instruction limit reached! 3.23/1.24 % (1050284)------------------------------ 3.23/1.24 % (1050284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.23/1.24 % (1050301)Instruction limit reached! 3.23/1.24 % (1050301)------------------------------ 3.23/1.24 % (1050301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.23/1.24 % (1050284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.23/1.24 % (1050301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.23/1.24 % (1050301)CaDiCaL version: 2.1.3 3.23/1.24 % (1050284)CaDiCaL version: 2.1.3 3.23/1.24 % (1050301)Termination reason: Instruction limit 3.23/1.24 % (1050301)Termination phase: shuffling 3.23/1.24 % (1050284)Termination reason: Instruction limit 3.23/1.24 % (1050284)Termination phase: Saturation 3.23/1.24 % (1050301)Time elapsed: 0.028 s 3.23/1.24 % (1050284)Time elapsed: 0.149 s 3.23/1.24 % (1050301)Peak memory usage: 10 MB 3.23/1.24 % (1050284)Peak memory usage: 15 MB 3.23/1.24 % (1050301)Instructions burned: 32 (million) 3.23/1.24 % (1050284)Instructions burned: 328 (million) 3.23/1.24 % (1050305)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4267160253:i=7:hud=5:bd=preordered:rtra=on:bet=on_1796 on theBenchmark for (1796ds/7Mi) 3.93/1.37 % (1050306)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2687391887:i=23:rtra=on:ntd=on_1796 on theBenchmark for (1796ds/23Mi) 3.93/1.37 % (1050309)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2979271866:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1796 on theBenchmark for (1796ds/143Mi) 3.93/1.37 % (1050305)Instruction limit reached! 3.93/1.37 % (1050305)------------------------------ 3.93/1.37 % (1050305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.93/1.37 % (1050305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.93/1.37 % (1050305)CaDiCaL version: 2.1.3 3.93/1.37 % (1050305)Termination reason: Instruction limit 3.93/1.37 % (1050305)Termination phase: shuffling 3.93/1.37 % (1050305)Time elapsed: 0.007 s 3.93/1.37 % (1050305)Peak memory usage: 10 MB 3.93/1.37 % (1050305)Instructions burned: 7 (million) 3.93/1.37 % (1050307)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3367786255:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_1796 on theBenchmark for (1796ds/20Mi) 3.93/1.37 % (1050308)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1763319357:i=1240:rtra=on:ixr=off_1796 on theBenchmark for (1796ds/1240Mi) 3.93/1.37 % (1050306)Instruction limit reached! 3.93/1.37 % (1050306)------------------------------ 3.93/1.37 % (1050306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.93/1.37 % (1050306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.93/1.37 % (1050306)CaDiCaL version: 2.1.3 3.93/1.37 % (1050306)Termination reason: Instruction limit 3.93/1.37 % (1050306)Termination phase: shuffling 3.93/1.37 % (1050306)Time elapsed: 0.022 s 3.93/1.37 % (1050306)Peak memory usage: 10 MB 3.93/1.37 % (1050306)Instructions burned: 23 (million) 3.93/1.37 % (1050307)Instruction limit reached! 3.93/1.37 % (1050307)------------------------------ 3.93/1.37 % (1050307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.93/1.37 % (1050307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.93/1.37 % (1050307)CaDiCaL version: 2.1.3 3.93/1.37 % (1050307)Termination reason: Instruction limit 3.93/1.37 % (1050307)Termination phase: shuffling 3.93/1.37 % (1050307)Time elapsed: 0.020 s 3.93/1.37 % (1050307)Peak memory usage: 10 MB 3.93/1.37 % (1050307)Instructions burned: 20 (million) 3.93/1.37 % (1050313)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=261843105:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_1796 on theBenchmark for (1796ds/193Mi) 3.93/1.37 % (1050280)Instruction limit reached! 3.93/1.37 % (1050280)------------------------------ 3.93/1.37 % (1050280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.93/1.37 % (1050280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.93/1.37 % (1050280)CaDiCaL version: 2.1.3 3.93/1.37 % (1050280)Termination reason: Instruction limit 3.93/1.37 % (1050280)Termination phase: Saturation 3.93/1.37 % (1050280)Time elapsed: 0.206 s 3.93/1.37 % (1050280)Peak memory usage: 15 MB 3.93/1.37 % (1050280)Instructions burned: 249 (million) 3.93/1.37 % (1050316)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3573208072:i=42:hud=10:rtra=on_1796 on theBenchmark for (1796ds/42Mi) 3.93/1.37 % (1050317)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 3.93/1.37 % (1050309)Instruction limit reached! 3.93/1.37 % (1050309)------------------------------ 3.93/1.37 % (1050309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 3.93/1.37 % (1050309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.93/1.37 % (1050309)CaDiCaL version: 2.1.3 3.93/1.37 % (1050309)Termination reason: Instruction limit 3.93/1.37 % (1050309)Termination phase: Twee Goal Transformation 3.93/1.37 % (1050309)Time elapsed: 0.065 s 3.93/1.37 % (1050309)Peak memory usage: 12 MB 3.93/1.37 % (1050309)Instructions burned: 144 (million) 3.93/1.37 % (1050317)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1749049598:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1795 on theBenchmark for (1795ds/7Mi) 3.93/1.37 % (1050317)Instruction limit reached! 3.93/1.37 % (1050317)------------------------------ 4.38/1.53 % (1050317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.38/1.53 % (1050317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.38/1.53 % (1050317)CaDiCaL version: 2.1.3 4.38/1.53 % (1050317)Termination reason: Instruction limit 4.38/1.53 % (1050317)Termination phase: shuffling 4.38/1.53 % (1050317)Time elapsed: 0.007 s 4.38/1.53 % (1050317)Peak memory usage: 10 MB 4.38/1.53 % (1050317)Instructions burned: 7 (million) 4.38/1.53 % (1050319)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2137963779:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/181Mi) 4.38/1.53 % (1050321)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=4150988884:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_1795 on theBenchmark for (1795ds/169Mi) 4.38/1.53 % (1050316)Instruction limit reached! 4.38/1.53 % (1050316)------------------------------ 4.38/1.53 % (1050316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.38/1.53 % (1050316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.38/1.53 % (1050316)CaDiCaL version: 2.1.3 4.38/1.53 % (1050316)Termination reason: Instruction limit 4.38/1.53 % (1050316)Termination phase: shuffling 4.38/1.53 % (1050316)Time elapsed: 0.040 s 4.38/1.53 % (1050316)Peak memory usage: 11 MB 4.38/1.53 % (1050316)Instructions burned: 42 (million) 4.38/1.53 % (1050323)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on 4.38/1.53 % (1050323)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4163182984:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_1795 on theBenchmark for (1795ds/6Mi) 4.38/1.53 % (1050323)Instruction limit reached! 4.38/1.53 % (1050323)------------------------------ 4.38/1.53 % (1050323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.38/1.53 % (1050323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.38/1.53 % (1050323)CaDiCaL version: 2.1.3 4.38/1.53 % (1050323)Termination reason: Instruction limit 4.38/1.53 % (1050323)Termination phase: shuffling 4.38/1.53 % (1050323)Time elapsed: 0.006 s 4.38/1.53 % (1050323)Peak memory usage: 10 MB 4.38/1.53 % (1050323)Instructions burned: 6 (million) 4.38/1.53 % (1050326)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=697162101:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1795 on theBenchmark for (1795ds/22Mi) 4.38/1.53 % (1050326)Instruction limit reached! 4.38/1.53 % (1050326)------------------------------ 4.38/1.53 % (1050326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.38/1.53 % (1050326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.38/1.53 % (1050326)CaDiCaL version: 2.1.3 4.38/1.53 % (1050326)Termination reason: Instruction limit 4.38/1.53 % (1050326)Termination phase: shuffling 4.38/1.53 % (1050326)Time elapsed: 0.021 s 4.38/1.53 % (1050326)Peak memory usage: 10 MB 4.38/1.53 % (1050326)Instructions burned: 23 (million) 4.38/1.53 % (1050328)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=630938800:i=19:add=on:rtra=on_1795 on theBenchmark for (1795ds/19Mi) 4.38/1.53 % (1050321)Instruction limit reached! 4.38/1.53 % (1050321)------------------------------ 4.38/1.53 % (1050321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.38/1.53 % (1050321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.38/1.53 % (1050321)CaDiCaL version: 2.1.3 4.38/1.53 % (1050321)Termination reason: Instruction limit 4.38/1.53 % (1050321)Termination phase: Property scanning 4.38/1.53 % (1050321)Time elapsed: 0.072 s 4.38/1.53 % (1050321)Peak memory usage: 12 MB 4.38/1.53 % (1050321)Instructions burned: 170 (million) 4.38/1.53 % (1050328)Instruction limit reached! 4.38/1.53 % (1050328)------------------------------ 4.38/1.53 % (1050328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.38/1.53 % (1050328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.38/1.53 % (1050328)CaDiCaL version: 2.1.3 4.38/1.53 % (1050328)Termination reason: Instruction limit 4.38/1.53 % (1050328)Termination phase: shuffling 4.38/1.53 % (1050328)Time elapsed: 0.018 s 5.76/1.73 % (1050328)Peak memory usage: 10 MB 5.76/1.73 % (1050328)Instructions burned: 19 (million) 5.76/1.73 % (1050332)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=3288195042:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_1794 on theBenchmark for (1794ds/853Mi) 5.76/1.73 % (1050313)Instruction limit reached! 5.76/1.73 % (1050313)------------------------------ 5.76/1.73 % (1050313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.76/1.73 % (1050313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.76/1.73 % (1050313)CaDiCaL version: 2.1.3 5.76/1.73 % (1050313)Termination reason: Instruction limit 5.76/1.73 % (1050313)Termination phase: Property scanning 5.76/1.73 % (1050313)Time elapsed: 0.155 s 5.76/1.73 % (1050313)Peak memory usage: 12 MB 5.76/1.73 % (1050313)Instructions burned: 193 (million) 5.76/1.73 % (1050331)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=3409934268:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_1794 on theBenchmark for (1794ds/316Mi) 5.76/1.73 % (1050333)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=3600396115:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_1794 on theBenchmark for (1794ds/45Mi) 5.76/1.73 % (1050336)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=158296253:i=480:rtra=on_1794 on theBenchmark for (1794ds/480Mi) 5.76/1.73 % (1050319)Instruction limit reached! 5.76/1.73 % (1050319)------------------------------ 5.76/1.73 % (1050319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.76/1.73 % (1050319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.76/1.73 % (1050319)CaDiCaL version: 2.1.3 5.76/1.73 % (1050319)Termination reason: Instruction limit 5.76/1.73 % (1050319)Termination phase: Saturation 5.76/1.73 % (1050319)Time elapsed: 0.150 s 5.76/1.73 % (1050319)Peak memory usage: 12 MB 5.76/1.73 % (1050319)Instructions burned: 182 (million) 5.76/1.73 % (1050333)Instruction limit reached! 5.76/1.73 % (1050333)------------------------------ 5.76/1.73 % (1050333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.76/1.73 % (1050333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.76/1.73 % (1050333)CaDiCaL version: 2.1.3 5.76/1.73 % (1050333)Termination reason: Instruction limit 5.76/1.73 % (1050333)Termination phase: shuffling 5.76/1.73 % (1050333)Time elapsed: 0.039 s 5.76/1.73 % (1050333)Peak memory usage: 11 MB 5.76/1.73 % (1050333)Instructions burned: 46 (million) 5.76/1.73 % (1050339)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2687217954:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_1794 on theBenchmark for (1794ds/21Mi) 5.76/1.73 % (1050340)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 5.76/1.73 % (1050340)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3467267593:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_1793 on theBenchmark for (1793ds/200Mi) 5.76/1.73 % (1050339)Instruction limit reached! 5.76/1.73 % (1050339)------------------------------ 5.76/1.73 % (1050339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.76/1.73 % (1050339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.76/1.73 % (1050339)CaDiCaL version: 2.1.3 5.76/1.73 % (1050339)Termination reason: Instruction limit 5.76/1.73 % (1050339)Termination phase: shuffling 5.76/1.73 % (1050339)Time elapsed: 0.020 s 5.76/1.73 % (1050339)Peak memory usage: 10 MB 5.76/1.73 % (1050339)Instructions burned: 21 (million) 5.76/1.73 % (1050252)Instruction limit reached! 5.76/1.73 % (1050252)------------------------------ 5.76/1.73 % (1050252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.76/1.73 % (1050252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.76/1.73 % (1050252)CaDiCaL version: 2.1.3 5.76/1.73 % (1050252)Termination reason: Instruction limit 5.76/1.73 % (1050252)Termination phase: Saturation 7.26/1.90 % (1050252)Time elapsed: 0.601 s 7.26/1.90 % (1050252)Peak memory usage: 21 MB 7.26/1.90 % (1050252)Instructions burned: 634 (million) 7.26/1.90 % (1050343)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1480765393:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_1793 on theBenchmark for (1793ds/13Mi) 7.26/1.90 % (1050343)Instruction limit reached! 7.26/1.90 % (1050343)------------------------------ 7.26/1.90 % (1050343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.26/1.90 % (1050343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.26/1.90 % (1050343)CaDiCaL version: 2.1.3 7.26/1.90 % (1050343)Termination reason: Instruction limit 7.26/1.90 % (1050343)Termination phase: shuffling 7.26/1.90 % (1050343)Time elapsed: 0.015 s 7.26/1.90 % (1050343)Peak memory usage: 10 MB 7.26/1.90 % (1050343)Instructions burned: 14 (million) 7.26/1.90 % (1050344)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=85450844:i=66:s2at=3:nm=2:rtra=on:rawr=on_1793 on theBenchmark for (1793ds/66Mi) 7.26/1.90 % (1050347)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=214374823:i=51:fsr=off:rtra=on_1792 on theBenchmark for (1792ds/51Mi) 7.26/1.90 % (1050344)Instruction limit reached! 7.26/1.90 % (1050344)------------------------------ 7.26/1.90 % (1050344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.26/1.90 % (1050344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.26/1.90 % (1050344)CaDiCaL version: 2.1.3 7.26/1.90 % (1050344)Termination reason: Instruction limit 7.26/1.90 % (1050344)Termination phase: Property scanning 7.26/1.90 % (1050344)Time elapsed: 0.057 s 7.26/1.90 % (1050344)Peak memory usage: 11 MB 7.26/1.90 % (1050344)Instructions burned: 66 (million) 7.26/1.90 % (1050347)Instruction limit reached! 7.26/1.90 % (1050347)------------------------------ 7.26/1.90 % (1050347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.26/1.90 % (1050347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.26/1.90 % (1050347)CaDiCaL version: 2.1.3 7.26/1.90 % (1050347)Termination reason: Instruction limit 7.26/1.90 % (1050347)Termination phase: Property scanning 7.26/1.90 % (1050347)Time elapsed: 0.045 s 7.26/1.90 % (1050347)Peak memory usage: 11 MB 7.26/1.90 % (1050347)Instructions burned: 51 (million) 7.26/1.90 % (1050349)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4013510330:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_1792 on theBenchmark for (1792ds/31Mi) 7.26/1.90 % (1050340)Instruction limit reached! 7.26/1.90 % (1050340)------------------------------ 7.26/1.90 % (1050340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.26/1.90 % (1050340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.26/1.90 % (1050340)CaDiCaL version: 2.1.3 7.26/1.90 % (1050340)Termination reason: Instruction limit 7.26/1.90 % (1050340)Termination phase: Saturation 7.26/1.90 % (1050340)Time elapsed: 0.172 s 7.26/1.90 % (1050340)Peak memory usage: 13 MB 7.26/1.90 % (1050340)Instructions burned: 201 (million) 7.26/1.90 % (1050350)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1691064137:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_1792 on theBenchmark for (1792ds/137Mi) 7.26/1.90 % (1050349)Instruction limit reached! 7.26/1.90 % (1050349)------------------------------ 7.26/1.90 % (1050349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.26/1.90 % (1050349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.26/1.90 % (1050349)CaDiCaL version: 2.1.3 7.26/1.90 % (1050349)Termination reason: Instruction limit 7.26/1.90 % (1050349)Termination phase: shuffling 7.26/1.90 % (1050349)Time elapsed: 0.030 s 7.26/1.90 % (1050349)Peak memory usage: 10 MB 7.26/1.90 % (1050349)Instructions burned: 31 (million) 7.26/1.90 % (1050331)Instruction limit reached! 7.26/1.90 % (1050331)------------------------------ 7.26/1.90 % (1050331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.26/1.90 % (1050331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.26/1.90 % (1050331)CaDiCaL version: 2.1.3 7.26/1.90 % (1050331)Termination reason: Instruction limit 7.26/1.90 % (1050331)Termination phase: Saturation 7.26/1.90 % (1050331)Time elapsed: 0.277 s 10.56/2.20 % (1050331)Peak memory usage: 16 MB 10.56/2.20 % (1050331)Instructions burned: 316 (million) 10.56/2.20 % (1050352)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=993965029:cond=on:i=34:hud=10:nm=10:rtra=on_1791 on theBenchmark for (1791ds/34Mi) 10.56/2.20 % (1050355)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off 10.56/2.20 % (1050354)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3553641064:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_1791 on theBenchmark for (1791ds/67Mi) 10.56/2.20 % (1050355)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2122037714:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_1791 on theBenchmark for (1791ds/180Mi) 10.56/2.20 % (1050352)Instruction limit reached! 10.56/2.20 % (1050352)------------------------------ 10.56/2.20 % (1050352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 10.56/2.20 % (1050352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.56/2.20 % (1050352)CaDiCaL version: 2.1.3 10.56/2.20 % (1050352)Termination reason: Instruction limit 10.56/2.20 % (1050352)Termination phase: shuffling 10.56/2.20 % (1050352)Time elapsed: 0.030 s 10.56/2.20 % (1050352)Peak memory usage: 10 MB 10.56/2.20 % (1050352)Instructions burned: 34 (million) 10.56/2.20 % (1050354)Instruction limit reached! 10.56/2.20 % (1050354)------------------------------ 10.56/2.20 % (1050354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 10.56/2.20 % (1050354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.56/2.20 % (1050354)CaDiCaL version: 2.1.3 10.56/2.20 % (1050354)Termination reason: Instruction limit 10.56/2.20 % (1050354)Termination phase: Property scanning 10.56/2.20 % (1050354)Time elapsed: 0.057 s 10.56/2.20 % (1050354)Peak memory usage: 11 MB 10.56/2.20 % (1050354)Instructions burned: 68 (million) 10.56/2.20 % (1050359)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4277598561:st=2:i=246:sd=3:rtra=on:ss=axioms_1791 on theBenchmark for (1791ds/246Mi) 10.56/2.20 % (1050350)Instruction limit reached! 10.56/2.20 % (1050350)------------------------------ 10.56/2.20 % (1050350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 10.56/2.20 % (1050350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.56/2.20 % (1050350)CaDiCaL version: 2.1.3 10.56/2.20 % (1050350)Termination reason: Instruction limit 10.56/2.20 % (1050350)Termination phase: Twee Goal Transformation 10.56/2.20 % (1050350)Time elapsed: 0.125 s 10.56/2.20 % (1050350)Peak memory usage: 12 MB 10.56/2.20 % (1050350)Instructions burned: 138 (million) 10.56/2.20 % (1050361)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=536261219:cond=on:i=96:bd=all:rtra=on_1790 on theBenchmark for (1790ds/96Mi) 10.56/2.20 % (1050332)Instruction limit reached! 10.56/2.20 % (1050332)------------------------------ 10.56/2.20 % (1050332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 10.56/2.20 % (1050332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.56/2.20 % (1050332)CaDiCaL version: 2.1.3 10.56/2.20 % (1050332)Termination reason: Instruction limit 10.56/2.20 % (1050332)Termination phase: Saturation 10.56/2.20 % (1050332)Time elapsed: 0.425 s 10.56/2.20 % (1050332)Peak memory usage: 23 MB 10.56/2.20 % (1050332)Instructions burned: 857 (million) 10.56/2.20 % (1050363)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2346703149:i=427:sd=1:rtra=on:ss=axioms_1790 on theBenchmark for (1790ds/427Mi) 10.56/2.20 % (1050364)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=476339603:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_1790 on theBenchmark for (1790ds/874Mi) 10.56/2.20 % (1050355)Instruction limit reached! 10.56/2.20 % (1050355)------------------------------ 10.56/2.20 % (1050355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 10.56/2.20 % (1050355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.56/2.20 % (1050355)CaDiCaL version: 2.1.3 10.56/2.20 % (1050355)Termination reason: Instruction limit 10.56/2.20 % (1050355)Termination phase: Saturation 10.56/2.20 % (1050355)Time elapsed: 0.149 s 10.56/2.20 % (1050355)Peak memory usage: 13 MB 10.56/2.20 % (1050355)Instructions burned: 181 (million) 10.56/2.20 % (1050336)Instruction limit reached! 10.56/2.20 % (1050336)------------------------------ 10.56/2.20 % (1050336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050336)CaDiCaL version: 2.1.3 11.17/2.38 % (1050336)Termination reason: Instruction limit 11.17/2.38 % (1050336)Termination phase: Saturation 11.17/2.38 % (1050336)Time elapsed: 0.435 s 11.17/2.38 % (1050336)Peak memory usage: 18 MB 11.17/2.38 % (1050336)Instructions burned: 481 (million) 11.17/2.38 % (1050361)Instruction limit reached! 11.17/2.38 % (1050361)------------------------------ 11.17/2.38 % (1050361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050361)CaDiCaL version: 2.1.3 11.17/2.38 % (1050361)Termination reason: Instruction limit 11.17/2.38 % (1050361)Termination phase: Property scanning 11.17/2.38 % (1050361)Time elapsed: 0.082 s 11.17/2.38 % (1050361)Peak memory usage: 12 MB 11.17/2.38 % (1050361)Instructions burned: 96 (million) 11.17/2.38 % (1050367)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=405968447:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_1789 on theBenchmark for (1789ds/515Mi) 11.17/2.38 % (1050368)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2460375136:st=1.5:i=130:rtra=on:ss=axioms_1789 on theBenchmark for (1789ds/130Mi) 11.17/2.38 % (1050369)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3115316112:i=44:ep=R:rtra=on:ntd=on_1789 on theBenchmark for (1789ds/44Mi) 11.17/2.38 % (1050369)Instruction limit reached! 11.17/2.38 % (1050369)------------------------------ 11.17/2.38 % (1050369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050369)CaDiCaL version: 2.1.3 11.17/2.38 % (1050369)Termination reason: Instruction limit 11.17/2.38 % (1050369)Termination phase: shuffling 11.17/2.38 % (1050369)Time elapsed: 0.046 s 11.17/2.38 % (1050369)Peak memory usage: 11 MB 11.17/2.38 % (1050369)Instructions burned: 45 (million) 11.17/2.38 % (1050359)Instruction limit reached! 11.17/2.38 % (1050359)------------------------------ 11.17/2.38 % (1050359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050359)CaDiCaL version: 2.1.3 11.17/2.38 % (1050359)Termination reason: Instruction limit 11.17/2.38 % (1050359)Termination phase: Saturation 11.17/2.38 % (1050359)Time elapsed: 0.209 s 11.17/2.38 % (1050359)Peak memory usage: 14 MB 11.17/2.38 % (1050359)Instructions burned: 247 (million) 11.17/2.38 % (1050368)Instruction limit reached! 11.17/2.38 % (1050368)------------------------------ 11.17/2.38 % (1050368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050368)CaDiCaL version: 2.1.3 11.17/2.38 % (1050368)Termination reason: Instruction limit 11.17/2.38 % (1050368)Termination phase: Property scanning 11.17/2.38 % (1050368)Time elapsed: 0.106 s 11.17/2.38 % (1050368)Peak memory usage: 12 MB 11.17/2.38 % (1050368)Instructions burned: 131 (million) 11.17/2.38 % (1050373)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1968197292:s2a=on:i=571:nm=16:rtra=on_1788 on theBenchmark for (1788ds/571Mi) 11.17/2.38 % (1050374)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2780357272:i=450:rtra=on:ixr=off:ntd=on_1788 on theBenchmark for (1788ds/450Mi) 11.17/2.38 % (1050363)Instruction limit reached! 11.17/2.38 % (1050363)------------------------------ 11.17/2.38 % (1050363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050363)CaDiCaL version: 2.1.3 11.17/2.38 % (1050363)Termination reason: Instruction limit 11.17/2.38 % (1050363)Termination phase: Saturation 11.17/2.38 % (1050363)Time elapsed: 0.192 s 11.17/2.38 % (1050363)Peak memory usage: 16 MB 11.17/2.38 % (1050363)Instructions burned: 427 (million) 11.17/2.38 % (1050375)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3026936193:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_1788 on theBenchmark for (1788ds/95Mi) 11.17/2.38 % (1050378)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=859017759:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_1788 on theBenchmark for (1788ds/65Mi) 11.17/2.38 % (1050378)Instruction limit reached! 11.17/2.38 % (1050378)------------------------------ 11.17/2.38 % (1050378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050378)CaDiCaL version: 2.1.3 11.17/2.38 % (1050378)Termination reason: Instruction limit 11.17/2.38 % (1050378)Termination phase: Property scanning 11.17/2.38 % (1050378)Time elapsed: 0.028 s 11.17/2.38 % (1050378)Peak memory usage: 11 MB 11.17/2.38 % (1050378)Instructions burned: 65 (million) 11.17/2.38 % (1050381)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=1849591112: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_1787 on theBenchmark for (1787ds/105Mi) 11.17/2.38 % (1050375)Instruction limit reached! 11.17/2.38 % (1050375)------------------------------ 11.17/2.38 % (1050375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050375)CaDiCaL version: 2.1.3 11.17/2.38 % (1050375)Termination reason: Instruction limit 11.17/2.38 % (1050375)Termination phase: Property scanning 11.17/2.38 % (1050375)Time elapsed: 0.081 s 11.17/2.38 % (1050375)Peak memory usage: 12 MB 11.17/2.38 % (1050375)Instructions burned: 96 (million) 11.17/2.38 % (1050381)Instruction limit reached! 11.17/2.38 % (1050381)------------------------------ 11.17/2.38 % (1050381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050381)CaDiCaL version: 2.1.3 11.17/2.38 % (1050381)Termination reason: Instruction limit 11.17/2.38 % (1050381)Termination phase: Property scanning 11.17/2.38 % (1050381)Time elapsed: 0.044 s 11.17/2.38 % (1050381)Peak memory usage: 12 MB 11.17/2.38 % (1050381)Instructions burned: 106 (million) 11.17/2.38 % (1050383)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=861642271:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_1787 on theBenchmark for (1787ds/5755Mi) 11.17/2.38 % (1050384)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1675512094:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_1786 on theBenchmark for (1786ds/375Mi) 11.17/2.38 % (1050308)Instruction limit reached! 11.17/2.38 % (1050308)------------------------------ 11.17/2.38 % (1050308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050308)CaDiCaL version: 2.1.3 11.17/2.38 % (1050308)Termination reason: Instruction limit 11.17/2.38 % (1050308)Termination phase: Saturation 11.17/2.38 % (1050308)Time elapsed: 1.098 s 11.17/2.38 % (1050308)Peak memory usage: 19 MB 11.17/2.38 % (1050308)Instructions burned: 1240 (million) 11.17/2.38 % (1050384)Instruction limit reached! 11.17/2.38 % (1050384)------------------------------ 11.17/2.38 % (1050384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050384)CaDiCaL version: 2.1.3 11.17/2.38 % (1050384)Termination reason: Instruction limit 11.17/2.38 % (1050384)Termination phase: Saturation 11.17/2.38 % (1050384)Time elapsed: 0.172 s 11.17/2.38 % (1050384)Peak memory usage: 16 MB 11.17/2.38 % (1050384)Instructions burned: 375 (million) 11.17/2.38 % (1050367)Instruction limit reached! 11.17/2.38 % (1050367)------------------------------ 11.17/2.38 % (1050367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050367)CaDiCaL version: 2.1.3 11.17/2.38 % (1050367)Termination reason: Instruction limit 11.17/2.38 % (1050367)Termination phase: Saturation 11.17/2.38 % (1050367)Time elapsed: 0.443 s 11.17/2.38 % (1050367)Peak memory usage: 17 MB 11.17/2.38 % (1050367)Instructions burned: 516 (million) 11.17/2.38 % (1050387)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1048124537:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1785 on theBenchmark for (1785ds/495Mi) 11.17/2.38 % (1050388)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=4244059865:cond=on:i=34:hud=10:nm=10:rtra=on_1784 on theBenchmark for (1784ds/34Mi) 11.17/2.38 % (1050388)Instruction limit reached! 11.17/2.38 % (1050388)------------------------------ 11.17/2.38 % (1050388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050388)CaDiCaL version: 2.1.3 11.17/2.38 % (1050388)Termination reason: Instruction limit 11.17/2.38 % (1050388)Termination phase: shuffling 11.17/2.38 % (1050388)Time elapsed: 0.016 s 11.17/2.38 % (1050388)Peak memory usage: 11 MB 11.17/2.38 % (1050388)Instructions burned: 36 (million) 11.17/2.38 % (1050389)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2262619964:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_1784 on theBenchmark for (1784ds/91Mi) 11.17/2.38 % (1050374)Instruction limit reached! 11.17/2.38 % (1050374)------------------------------ 11.17/2.38 % (1050374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050374)CaDiCaL version: 2.1.3 11.17/2.38 % (1050374)Termination reason: Instruction limit 11.17/2.38 % (1050374)Termination phase: Saturation 11.17/2.38 % (1050374)Time elapsed: 0.395 s 11.17/2.38 % (1050374)Peak memory usage: 18 MB 11.17/2.38 % (1050374)Instructions burned: 450 (million) 11.17/2.38 % (1050392)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=878278331:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_1784 on theBenchmark for (1784ds/66Mi) 11.17/2.38 % (1050394)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3134511948:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1784 on theBenchmark for (1784ds/22Mi) 11.17/2.38 % (1050389)Instruction limit reached! 11.17/2.38 % (1050389)------------------------------ 11.17/2.38 % (1050389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050389)CaDiCaL version: 2.1.3 11.17/2.38 % (1050389)Termination reason: Instruction limit 11.17/2.38 % (1050389)Termination phase: SInE selection 11.17/2.38 % (1050389)Time elapsed: 0.080 s 11.17/2.38 % (1050389)Peak memory usage: 11 MB 11.17/2.38 % (1050389)Instructions burned: 92 (million) 11.17/2.38 % (1050394)Instruction limit reached! 11.17/2.38 % (1050394)------------------------------ 11.17/2.38 % (1050394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050394)CaDiCaL version: 2.1.3 11.17/2.38 % (1050394)Termination reason: Instruction limit 11.17/2.38 % (1050394)Termination phase: shuffling 11.17/2.38 % (1050394)Time elapsed: 0.022 s 11.17/2.38 % (1050394)Peak memory usage: 11 MB 11.17/2.38 % (1050394)Instructions burned: 23 (million) 11.17/2.38 % (1050392)Instruction limit reached! 11.17/2.38 % (1050392)------------------------------ 11.17/2.38 % (1050392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.38 % (1050392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.38 % (1050392)CaDiCaL version: 2.1.3 11.17/2.38 % (1050392)Termination reason: Instruction limit 11.17/2.38 % (1050392)Termination phase: Preprocessing 3 11.17/2.38 % (1050392)Time elapsed: 0.063 s 11.17/2.38 % (1050392)Peak memory usage: 11 MB 11.17/2.38 % (1050392)Instructions burned: 66 (million) 11.17/2.38 % (1050397)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=2181845463:i=338:bd=all:ins=4:rtra=on_1783 on theBenchmark for (1783ds/338Mi) 11.17/2.38 % (1050364) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1050244-1050364"... 11.17/2.38 % (1050364)...printing done. 11.17/2.38 % (1050398)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3852224446:i=28:sd=1:rtra=on:ss=axioms:sgt=64_1783 on theBenchmark for (1783ds/28Mi) 11.17/2.39 % (1050399)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on 11.17/2.39 % (1050364)Refutation found. Thanks to Tanya! 11.17/2.39 % SZS status Theorem for theBenchmark 11.17/2.39 % SZS output start Proof for theBenchmark 11.17/2.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType). 11.17/2.39 thf(func_def_0, type, in: ($i > $i > $o)). 11.17/2.39 thf(func_def_1, type, exu: (($i > $o) > $o)). 11.17/2.39 thf(func_def_3, type, setextAx: $o). 11.17/2.39 thf(func_def_5, type, emptysetAx: $o). 11.17/2.39 thf(func_def_6, type, setadjoin: ($i > $i > $i)). 11.17/2.39 thf(func_def_7, type, setadjoinAx: $o). 11.17/2.39 thf(func_def_8, type, powerset: ($i > $i)). 11.17/2.39 thf(func_def_9, type, powersetAx: $o). 11.17/2.39 thf(func_def_10, type, setunion: ($i > $i)). 11.17/2.39 thf(func_def_11, type, setunionAx: $o). 11.17/2.39 thf(func_def_13, type, omega0Ax: $o). 11.17/2.39 thf(func_def_14, type, omegaSAx: $o). 11.17/2.39 thf(func_def_15, type, omegaIndAx: $o). 11.17/2.39 thf(func_def_16, type, replAx: $o). 11.17/2.39 thf(func_def_17, type, foundationAx: $o). 11.17/2.39 thf(func_def_18, type, wellorderingAx: $o). 11.17/2.39 thf(func_def_19, type, descr: (($i > $o) > $i)). 11.17/2.39 thf(func_def_20, type, descrp: $o). 11.17/2.39 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_22, type, dsetconstrI: $o). 11.17/2.39 thf(func_def_23, type, dsetconstrEL: $o). 11.17/2.39 thf(func_def_24, type, dsetconstrER: $o). 11.17/2.39 thf(func_def_25, type, exuE1: $o). 11.17/2.39 thf(func_def_26, type, prop2set: ($o > $i)). 11.17/2.39 thf(func_def_27, type, prop2setE: $o). 11.17/2.39 thf(func_def_28, type, emptysetE: $o). 11.17/2.39 thf(func_def_29, type, emptysetimpfalse: $o). 11.17/2.39 thf(func_def_30, type, notinemptyset: $o). 11.17/2.39 thf(func_def_31, type, exuE3e: $o). 11.17/2.39 thf(func_def_32, type, setext: $o). 11.17/2.39 thf(func_def_33, type, emptyI: $o). 11.17/2.39 thf(func_def_34, type, noeltsimpempty: $o). 11.17/2.39 thf(func_def_35, type, setbeta: $o). 11.17/2.39 thf(func_def_36, type, nonempty: ($i > $o)). 11.17/2.39 thf(func_def_37, type, nonemptyE1: $o). 11.17/2.39 thf(func_def_38, type, nonemptyI: $o). 11.17/2.39 thf(func_def_39, type, nonemptyI1: $o). 11.17/2.39 thf(func_def_40, type, setadjoinIL: $o). 11.17/2.39 thf(func_def_41, type, emptyinunitempty: $o). 11.17/2.39 thf(func_def_42, type, setadjoinIR: $o). 11.17/2.39 thf(func_def_43, type, setadjoinE: $o). 11.17/2.39 thf(func_def_44, type, setadjoinOr: $o). 11.17/2.39 thf(func_def_45, type, setoftrueEq: $o). 11.17/2.39 thf(func_def_46, type, powersetI: $o). 11.17/2.39 thf(func_def_47, type, emptyinPowerset: $o). 11.17/2.39 thf(func_def_48, type, emptyInPowerset: $o). 11.17/2.39 thf(func_def_49, type, powersetE: $o). 11.17/2.39 thf(func_def_50, type, setunionI: $o). 11.17/2.39 thf(func_def_51, type, setunionE: $o). 11.17/2.39 thf(func_def_52, type, subPowSU: $o). 11.17/2.39 thf(func_def_53, type, exuE2: $o). 11.17/2.39 thf(func_def_54, type, nonemptyImpWitness: $o). 11.17/2.39 thf(func_def_55, type, uniqinunit: $o). 11.17/2.39 thf(func_def_56, type, notinsingleton: $o). 11.17/2.39 thf(func_def_57, type, eqinunit: $o). 11.17/2.39 thf(func_def_58, type, singletonsswitch: $o). 11.17/2.39 thf(func_def_59, type, upairsetE: $o). 11.17/2.39 thf(func_def_60, type, upairsetIL: $o). 11.17/2.39 thf(func_def_61, type, upairsetIR: $o). 11.17/2.39 thf(func_def_62, type, emptyE1: $o). 11.17/2.39 thf(func_def_63, type, vacuousDall: $o). 11.17/2.39 thf(func_def_64, type, quantDeMorgan1: $o). 11.17/2.39 thf(func_def_65, type, quantDeMorgan2: $o). 11.17/2.39 thf(func_def_66, type, quantDeMorgan3: $o). 11.17/2.39 thf(func_def_67, type, quantDeMorgan4: $o). 11.17/2.39 thf(func_def_68, type, prop2setI: $o). 11.17/2.39 thf(func_def_69, type, set2prop: ($i > $o)). 11.17/2.39 thf(func_def_70, type, prop2set2propI: $o). 11.17/2.39 thf(func_def_71, type, notdexE: $o). 11.17/2.39 thf(func_def_72, type, notdallE: $o). 11.17/2.39 thf(func_def_73, type, exuI1: $o). 11.17/2.39 thf(func_def_74, type, exuI3: $o). 11.17/2.39 thf(func_def_75, type, exuI2: $o). 11.17/2.39 thf(func_def_76, type, inCongP: $o). 11.17/2.39 thf(func_def_77, type, in__Cong: $o). 11.17/2.39 thf(func_def_78, type, exuE3u: $o). 11.17/2.39 thf(func_def_79, type, exu__Cong: $o). 11.17/2.39 thf(func_def_80, type, emptyset__Cong: $o). 11.17/2.39 thf(func_def_81, type, setadjoin__Cong: $o). 11.17/2.39 thf(func_def_82, type, powerset__Cong: $o). 11.17/2.39 thf(func_def_83, type, setunion__Cong: $o). 11.17/2.39 thf(func_def_84, type, omega__Cong: $o). 11.17/2.39 thf(func_def_85, type, exuEu: $o). 11.17/2.39 thf(func_def_86, type, descr__Cong: $o). 11.17/2.39 thf(func_def_87, type, dsetconstr__Cong: $o). 11.17/2.39 thf(func_def_88, type, subset: ($i > $i > $o)). 11.17/2.39 thf(func_def_89, type, disjoint: ($i > $i > $o)). 11.17/2.39 thf(func_def_90, type, setsmeet: ($i > $i > $o)). 11.17/2.39 thf(func_def_91, type, subsetI1: $o). 11.17/2.39 thf(func_def_92, type, eqimpsubset2: $o). 11.17/2.39 thf(func_def_93, type, eqimpsubset1: $o). 11.17/2.39 thf(func_def_94, type, subsetI2: $o). 11.17/2.39 thf(func_def_95, type, emptysetsubset: $o). 11.17/2.39 thf(func_def_96, type, subsetE: $o). 11.17/2.39 thf(func_def_97, type, subsetE2: $o). 11.17/2.39 thf(func_def_98, type, notsubsetI: $o). 11.17/2.39 thf(func_def_99, type, notequalI1: $o). 11.17/2.39 thf(func_def_100, type, notequalI2: $o). 11.17/2.39 thf(func_def_101, type, subsetRefl: $o). 11.17/2.39 thf(func_def_102, type, subsetTrans: $o). 11.17/2.39 thf(func_def_103, type, setadjoinSub: $o). 11.17/2.39 thf(func_def_104, type, setadjoinSub2: $o). 11.17/2.39 thf(func_def_105, type, subset2powerset: $o). 11.17/2.39 thf(func_def_106, type, setextsub: $o). 11.17/2.39 thf(func_def_107, type, subsetemptysetimpeq: $o). 11.17/2.39 thf(func_def_108, type, powersetI1: $o). 11.17/2.39 thf(func_def_109, type, powersetE1: $o). 11.17/2.39 thf(func_def_110, type, inPowerset: $o). 11.17/2.39 thf(func_def_111, type, powersetsubset: $o). 11.17/2.39 thf(func_def_112, type, sepInPowerset: $o). 11.17/2.39 thf(func_def_113, type, sepSubset: $o). 11.17/2.39 thf(func_def_114, type, binunion: ($i > $i > $i)). 11.17/2.39 thf(func_def_115, type, binunionIL: $o). 11.17/2.39 thf(func_def_116, type, upairset2IR: $o). 11.17/2.39 thf(func_def_117, type, binunionIR: $o). 11.17/2.39 thf(func_def_118, type, binunionEcases: $o). 11.17/2.39 thf(func_def_119, type, binunionE: $o). 11.17/2.39 thf(func_def_120, type, binunionLsub: $o). 11.17/2.39 thf(func_def_121, type, binunionRsub: $o). 11.17/2.39 thf(func_def_122, type, binintersect: ($i > $i > $i)). 11.17/2.39 thf(func_def_123, type, binintersectI: $o). 11.17/2.39 thf(func_def_124, type, binintersectSubset5: $o). 11.17/2.39 thf(func_def_125, type, binintersectEL: $o). 11.17/2.39 thf(func_def_126, type, binintersectLsub: $o). 11.17/2.39 thf(func_def_127, type, binintersectSubset2: $o). 11.17/2.39 thf(func_def_128, type, binintersectSubset3: $o). 11.17/2.39 thf(func_def_129, type, binintersectER: $o). 11.17/2.39 thf(func_def_130, type, disjointsetsI1: $o). 11.17/2.39 thf(func_def_131, type, binintersectRsub: $o). 11.17/2.39 thf(func_def_132, type, binintersectSubset4: $o). 11.17/2.39 thf(func_def_133, type, binintersectSubset1: $o). 11.17/2.39 thf(func_def_134, type, bs114d: $o). 11.17/2.39 thf(func_def_135, type, regular: ($i > $o)). 11.17/2.39 thf(func_def_136, type, setminus: ($i > $i > $i)). 11.17/2.39 thf(func_def_137, type, setminusI: $o). 11.17/2.39 thf(func_def_138, type, setminusEL: $o). 11.17/2.39 thf(func_def_139, type, setminusER: $o). 11.17/2.39 thf(func_def_140, type, setminusSubset2: $o). 11.17/2.39 thf(func_def_141, type, setminusERneg: $o). 11.17/2.39 thf(func_def_142, type, setminusELneg: $o). 11.17/2.39 thf(func_def_143, type, setminusILneg: $o). 11.17/2.39 thf(func_def_144, type, setminusIRneg: $o). 11.17/2.39 thf(func_def_145, type, setminusLsub: $o). 11.17/2.39 thf(func_def_146, type, setminusSubset1: $o). 11.17/2.39 thf(func_def_147, type, symdiff: ($i > $i > $i)). 11.17/2.39 thf(func_def_148, type, symdiffE: $o). 11.17/2.39 thf(func_def_149, type, symdiffI1: $o). 11.17/2.39 thf(func_def_150, type, symdiffI2: $o). 11.17/2.39 thf(func_def_151, type, symdiffIneg1: $o). 11.17/2.39 thf(func_def_152, type, symdiffIneg2: $o). 11.17/2.39 thf(func_def_153, type, iskpair: ($i > $o)). 11.17/2.39 thf(func_def_154, type, secondinupair: $o). 11.17/2.39 thf(func_def_155, type, setukpairIL: $o). 11.17/2.39 thf(func_def_156, type, setukpairIR: $o). 11.17/2.39 thf(func_def_157, type, kpairiskpair: $o). 11.17/2.39 thf(func_def_158, type, kpair: ($i > $i > $i)). 11.17/2.39 thf(func_def_159, type, kpairp: $o). 11.17/2.39 thf(func_def_160, type, cartprod: ($i > $i > $i)). 11.17/2.39 thf(func_def_161, type, singletonsubset: $o). 11.17/2.39 thf(func_def_162, type, singletoninpowerset: $o). 11.17/2.39 thf(func_def_163, type, singletoninpowunion: $o). 11.17/2.39 thf(func_def_164, type, upairset2E: $o). 11.17/2.39 thf(func_def_165, type, upairsubunion: $o). 11.17/2.39 thf(func_def_166, type, upairinpowunion: $o). 11.17/2.39 thf(func_def_167, type, ubforcartprodlem1: $o). 11.17/2.39 thf(func_def_168, type, ubforcartprodlem2: $o). 11.17/2.39 thf(func_def_169, type, ubforcartprodlem3: $o). 11.17/2.39 thf(func_def_170, type, cartprodpairin: $o). 11.17/2.39 thf(func_def_171, type, cartprodmempair1: $o). 11.17/2.39 thf(func_def_172, type, cartprodmempair: $o). 11.17/2.39 thf(func_def_173, type, setunionE2: $o). 11.17/2.39 thf(func_def_174, type, setunionsingleton1: $o). 11.17/2.39 thf(func_def_175, type, setunionsingleton2: $o). 11.17/2.39 thf(func_def_176, type, setunionsingleton: $o). 11.17/2.39 thf(func_def_177, type, singleton: ($i > $o)). 11.17/2.39 thf(func_def_178, type, singletonprop: $o). 11.17/2.39 thf(func_def_179, type, ex1: ($i > ($i > $o) > $o)). 11.17/2.39 thf(func_def_180, type, ex1E1: $o). 11.17/2.39 thf(func_def_181, type, ex1I: $o). 11.17/2.39 thf(func_def_182, type, ex1I2: $o). 11.17/2.39 thf(func_def_183, type, singletonsuniq: $o). 11.17/2.39 thf(func_def_184, type, atmost1p: ($i > $o)). 11.17/2.39 thf(func_def_185, type, atleast2p: ($i > $o)). 11.17/2.39 thf(func_def_186, type, atmost2p: ($i > $o)). 11.17/2.39 thf(func_def_187, type, upairsetp: ($i > $o)). 11.17/2.39 thf(func_def_188, type, setukpairinjL1: $o). 11.17/2.39 thf(func_def_189, type, kfstsingleton: $o). 11.17/2.39 thf(func_def_190, type, theprop: $o). 11.17/2.39 thf(func_def_191, type, kfst: ($i > $i)). 11.17/2.39 thf(func_def_192, type, kfstpairEq: $o). 11.17/2.39 thf(func_def_193, type, cartprodfstin: $o). 11.17/2.39 thf(func_def_194, type, setukpairinjL2: $o). 11.17/2.39 thf(func_def_195, type, setukpairinjL: $o). 11.17/2.39 thf(func_def_196, type, setukpairinjR11: $o). 11.17/2.39 thf(func_def_197, type, setukpairinjR12: $o). 11.17/2.39 thf(func_def_198, type, setukpairinjR1: $o). 11.17/2.39 thf(func_def_199, type, upairequniteq: $o). 11.17/2.39 thf(func_def_200, type, setukpairinjR2: $o). 11.17/2.39 thf(func_def_201, type, setukpairinjR: $o). 11.17/2.39 thf(func_def_202, type, ksndsingleton: $o). 11.17/2.39 thf(func_def_203, type, ksnd: ($i > $i)). 11.17/2.39 thf(func_def_204, type, ksndpairEq: $o). 11.17/2.39 thf(func_def_205, type, kpairsurjEq: $o). 11.17/2.39 thf(func_def_206, type, cartprodsndin: $o). 11.17/2.39 thf(func_def_207, type, cartprodpairmemEL: $o). 11.17/2.39 thf(func_def_208, type, cartprodpairmemER: $o). 11.17/2.39 thf(func_def_209, type, cartprodmempaircEq: $o). 11.17/2.39 thf(func_def_210, type, cartprodfstpairEq: $o). 11.17/2.39 thf(func_def_211, type, cartprodsndpairEq: $o). 11.17/2.39 thf(func_def_212, type, cartprodpairsurjEq: $o). 11.17/2.39 thf(func_def_213, type, breln: ($i > $i > $i > $o)). 11.17/2.39 thf(func_def_214, type, dpsetconstr: ($i > $i > ($i > $i > $o) > $i)). 11.17/2.39 thf(func_def_215, type, dpsetconstrI: $o). 11.17/2.39 thf(func_def_216, type, dpsetconstrSub: $o). 11.17/2.39 thf(func_def_217, type, setOfPairsIsBReln: $o). 11.17/2.39 thf(func_def_218, type, dpsetconstrERa: $o). 11.17/2.39 thf(func_def_219, type, dpsetconstrEL1: $o). 11.17/2.39 thf(func_def_220, type, dpsetconstrEL2: $o). 11.17/2.39 thf(func_def_221, type, dpsetconstrER: $o). 11.17/2.39 thf(func_def_222, type, func: ($i > $i > $i > $o)). 11.17/2.39 thf(func_def_223, type, funcSet: ($i > $i > $i)). 11.17/2.39 thf(func_def_224, type, funcImageSingleton: $o). 11.17/2.39 thf(func_def_225, type, apProp: $o). 11.17/2.39 thf(func_def_226, type, ap: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_227, type, app: $o). 11.17/2.39 thf(func_def_228, type, infuncsetfunc: $o). 11.17/2.39 thf(func_def_229, type, ap2p: $o). 11.17/2.39 thf(func_def_230, type, funcinfuncset: $o). 11.17/2.39 thf(func_def_231, type, lamProp: $o). 11.17/2.39 thf(func_def_232, type, lam: ($i > $i > ($i > $i) > $i)). 11.17/2.39 thf(func_def_233, type, lamp: $o). 11.17/2.39 thf(func_def_234, type, lam2p: $o). 11.17/2.39 thf(func_def_235, type, brelnall1: $o). 11.17/2.39 thf(func_def_236, type, brelnall2: $o). 11.17/2.39 thf(func_def_237, type, ex1E2: $o). 11.17/2.39 thf(func_def_238, type, funcGraphProp1: $o). 11.17/2.39 thf(func_def_239, type, funcGraphProp3: $o). 11.17/2.39 thf(func_def_240, type, funcGraphProp2: $o). 11.17/2.39 thf(func_def_241, type, funcextLem: $o). 11.17/2.39 thf(func_def_242, type, funcGraphProp4: $o). 11.17/2.39 thf(func_def_243, type, subbreln: $o). 11.17/2.39 thf(func_def_244, type, eqbreln: $o). 11.17/2.39 thf(func_def_245, type, funcext: $o). 11.17/2.39 thf(func_def_246, type, funcext2: $o). 11.17/2.39 thf(func_def_247, type, ap2apEq1: $o). 11.17/2.39 thf(func_def_248, type, ap2apEq2: $o). 11.17/2.39 thf(func_def_249, type, beta1: $o). 11.17/2.39 thf(func_def_250, type, eta1: $o). 11.17/2.39 thf(func_def_251, type, lam2lamEq: $o). 11.17/2.39 thf(func_def_252, type, beta2: $o). 11.17/2.39 thf(func_def_253, type, eta2: $o). 11.17/2.39 thf(func_def_254, type, iffalseProp1: $o). 11.17/2.39 thf(func_def_255, type, iffalseProp2: $o). 11.17/2.39 thf(func_def_256, type, iftrueProp1: $o). 11.17/2.39 thf(func_def_257, type, iftrueProp2: $o). 11.17/2.39 thf(func_def_258, type, ifSingleton: $o). 11.17/2.39 thf(func_def_259, type, if: ($i > $o > $i > $i > $i)). 11.17/2.39 thf(func_def_260, type, ifp: $o). 11.17/2.39 thf(func_def_261, type, theeq: $o). 11.17/2.39 thf(func_def_262, type, iftrue: $o). 11.17/2.39 thf(func_def_263, type, iffalse: $o). 11.17/2.39 thf(func_def_264, type, iftrueorfalse: $o). 11.17/2.39 thf(func_def_265, type, binintersectT_lem: $o). 11.17/2.39 thf(func_def_266, type, binunionT_lem: $o). 11.17/2.39 thf(func_def_267, type, powersetT_lem: $o). 11.17/2.39 thf(func_def_268, type, setminusT_lem: $o). 11.17/2.39 thf(func_def_269, type, complementT_lem: $o). 11.17/2.39 thf(func_def_270, type, setextT: $o). 11.17/2.39 thf(func_def_271, type, subsetTI: $o). 11.17/2.39 thf(func_def_272, type, powersetTI1: $o). 11.17/2.39 thf(func_def_273, type, powersetTE1: $o). 11.17/2.39 thf(func_def_274, type, complementTI1: $o). 11.17/2.39 thf(func_def_275, type, complementTE1: $o). 11.17/2.39 thf(func_def_276, type, binintersectTELcontra: $o). 11.17/2.39 thf(func_def_277, type, binintersectTERcontra: $o). 11.17/2.39 thf(func_def_278, type, contrasubsetT: $o). 11.17/2.39 thf(func_def_279, type, contrasubsetT1: $o). 11.17/2.39 thf(func_def_280, type, contrasubsetT2: $o). 11.17/2.39 thf(func_def_281, type, contrasubsetT3: $o). 11.17/2.39 thf(func_def_282, type, doubleComplementI1: $o). 11.17/2.39 thf(func_def_283, type, doubleComplementE1: $o). 11.17/2.39 thf(func_def_284, type, doubleComplementSub1: $o). 11.17/2.39 thf(func_def_285, type, doubleComplementSub2: $o). 11.17/2.39 thf(func_def_286, type, doubleComplementEq: $o). 11.17/2.39 thf(func_def_287, type, complementTnotintersectT: $o). 11.17/2.39 thf(func_def_288, type, complementImpComplementIntersect: $o). 11.17/2.39 thf(func_def_289, type, complementSubsetComplementIntersect: $o). 11.17/2.39 thf(func_def_290, type, complementInPowersetComplementIntersect: $o). 11.17/2.39 thf(func_def_291, type, contraSubsetComplement: $o). 11.17/2.39 thf(func_def_292, type, complementTcontraSubset: $o). 11.17/2.39 thf(func_def_293, type, binunionTILcontra: $o). 11.17/2.39 thf(func_def_294, type, binunionTIRcontra: $o). 11.17/2.39 thf(func_def_295, type, inIntersectImpInUnion: $o). 11.17/2.39 thf(func_def_296, type, inIntersectImpInUnion2: $o). 11.17/2.39 thf(func_def_297, type, inIntersectImpInIntersectUnions: $o). 11.17/2.39 thf(func_def_298, type, intersectInPowersetIntersectUnions: $o). 11.17/2.39 thf(func_def_299, type, inComplementUnionImpNotIn1: $o). 11.17/2.39 thf(func_def_300, type, inComplementUnionImpInComplement1: $o). 11.17/2.39 thf(func_def_301, type, binunionTE: $o). 11.17/2.39 thf(func_def_302, type, binunionTEcontra: $o). 11.17/2.39 thf(func_def_303, type, demorgan2a1: $o). 11.17/2.39 thf(func_def_304, type, complementUnionInPowersetComplement: $o). 11.17/2.39 thf(func_def_305, type, demorgan2a2: $o). 11.17/2.39 thf(func_def_306, type, demorgan1a: $o). 11.17/2.39 thf(func_def_307, type, demorgan1b: $o). 11.17/2.39 thf(func_def_308, type, demorgan1: $o). 11.17/2.39 thf(func_def_309, type, demorgan2a: $o). 11.17/2.39 thf(func_def_310, type, demorgan2b2: $o). 11.17/2.39 thf(func_def_311, type, demorgan2b: $o). 11.17/2.39 thf(func_def_312, type, demorgan2: $o). 11.17/2.39 thf(func_def_313, type, woz13rule0: $o). 11.17/2.39 thf(func_def_314, type, woz13rule1: $o). 11.17/2.39 thf(func_def_315, type, woz13rule2: $o). 11.17/2.39 thf(func_def_316, type, woz13rule3: $o). 11.17/2.39 thf(func_def_317, type, woz13rule4: $o). 11.17/2.39 thf(func_def_318, type, woz1_1: $o). 11.17/2.39 thf(func_def_319, type, woz1_2: $o). 11.17/2.39 thf(func_def_320, type, woz1_3: $o). 11.17/2.39 thf(func_def_321, type, woz1_4: $o). 11.17/2.39 thf(func_def_322, type, woz1_5: $o). 11.17/2.39 thf(func_def_323, type, breln1: ($i > $i > $o)). 11.17/2.39 thf(func_def_324, type, breln1all2: $o). 11.17/2.39 thf(func_def_325, type, breln1Set: ($i > $i)). 11.17/2.39 thf(func_def_326, type, breln1SetBreln1: $o). 11.17/2.39 thf(func_def_327, type, transitive: ($i > $i > $o)). 11.17/2.39 thf(func_def_328, type, antisymmetric: ($i > $i > $o)). 11.17/2.39 thf(func_def_329, type, reflexive: ($i > $i > $o)). 11.17/2.39 thf(func_def_330, type, refltransitive: ($i > $i > $o)). 11.17/2.39 thf(func_def_331, type, refllinearorder: ($i > $i > $o)). 11.17/2.39 thf(func_def_332, type, reflwellordering: ($i > $i > $o)). 11.17/2.39 thf(func_def_333, type, choice2fnsingleton: $o). 11.17/2.39 thf(func_def_334, type, setOfPairsIsBReln1: $o). 11.17/2.39 thf(func_def_335, type, breln1all1: $o). 11.17/2.39 thf(func_def_336, type, subbreln1: $o). 11.17/2.39 thf(func_def_337, type, eqbreln1: $o). 11.17/2.39 thf(func_def_338, type, breln1invset: ($i > $i > $i)). 11.17/2.39 thf(func_def_339, type, breln1invprop: $o). 11.17/2.39 thf(func_def_340, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))). 11.17/2.39 thf(func_def_341, type, vIMP: ($o > $o > $o)). 11.17/2.39 thf(func_def_342, type, db1: !>[X0: $tType]:(X0)). 11.17/2.39 thf(func_def_343, type, db0: !>[X0: $tType]:(X0)). 11.17/2.39 thf(func_def_344, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))). 11.17/2.39 thf(func_def_345, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))). 11.17/2.39 thf(func_def_346, type, db2: !>[X0: $tType]:(X0)). 11.17/2.39 thf(func_def_347, type, db3: !>[X0: $tType]:(X0)). 11.17/2.39 thf(func_def_348, type, vNOT: ($o > $o)). 11.17/2.39 thf(func_def_349, type, db4: !>[X0: $tType]:(X0)). 11.17/2.39 thf(func_def_350, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))). 11.17/2.39 thf(func_def_351, type, vIFF: ($o > $o > $o)). 11.17/2.39 thf(func_def_352, type, vAND: ($o > $o > $o)). 11.17/2.39 thf(func_def_355, type, vOR: ($o > $o > $o)). 11.17/2.39 thf(func_def_356, type, db5: !>[X0: $tType]:(X0)). 11.17/2.39 thf(func_def_357, type, db6: !>[X0: $tType]:(X0)). 11.17/2.39 thf(func_def_362, type, sK4: ($i > ($i > $i) > $i > $i)). 11.17/2.39 thf(func_def_363, type, sK5: ($i > $i > $i)). 11.17/2.39 thf(func_def_364, type, sK6: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_365, type, sK7: (($i > $o) > $i > $i > $i)). 11.17/2.39 thf(func_def_366, type, sK8: (($i > $o) > $i > $i > $i)). 11.17/2.39 thf(func_def_367, type, sK9: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_368, type, sK10: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_369, type, sK11: ($i > $i)). 11.17/2.39 thf(func_def_370, type, sK12: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_371, type, sK13: ($i > $i > $i)). 11.17/2.39 thf(func_def_372, type, sK14: ($i > $i > $i)). 11.17/2.39 thf(func_def_373, type, sK15: ($i > $i > $i)). 11.17/2.39 thf(func_def_374, type, sK16: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_375, type, sK17: ($i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_376, type, sK18: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_377, type, sK19: ($i > $i)). 11.17/2.39 thf(func_def_378, type, sK20: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_379, type, sK21: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_380, type, sK22: ($i > $i)). 11.17/2.39 thf(func_def_381, type, sK23: ($i > $i > $i)). 11.17/2.39 thf(func_def_382, type, sK24: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_383, type, sK25: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_384, type, sK26: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_385, type, sK27: ($i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_386, type, sK28: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_387, type, sK29: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_388, type, sK30: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_389, type, sK31: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_390, type, sK32: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_391, type, sK33: ($i > $i > $i > $i > $i)). 11.17/2.39 thf(func_def_392, type, sK34: (($i > $o) > $i)). 11.17/2.39 thf(func_def_393, type, sK35: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_394, type, sK36: ($i > $i > $i)). 11.17/2.39 thf(func_def_395, type, sK37: ($i > $i > $i)). 11.17/2.39 thf(func_def_396, type, sK38: ($i > $i)). 11.17/2.39 thf(func_def_397, type, sK39: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_398, type, sK40: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_399, type, sK41: ($i > $i > ($i > $i) > $i)). 11.17/2.39 thf(func_def_400, type, sK42: ($i > $i > $i)). 11.17/2.39 thf(func_def_401, type, sK43: ($i > $i > $i)). 11.17/2.39 thf(func_def_402, type, sK44: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_403, type, sK45: ($i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_404, type, sK46: ($i > $i > $i)). 11.17/2.39 thf(func_def_405, type, sK47: ($i > $i > ($i > $i) > $i)). 11.17/2.39 thf(func_def_406, type, sK48: ($i > ($i > $i) > $i > $i)). 11.17/2.39 thf(func_def_407, type, sK49: (($i > $i > $o) > $i > $i)). 11.17/2.39 thf(func_def_408, type, sK50: (($i > $i > $o) > $i > $i)). 11.17/2.39 thf(func_def_409, type, sK51: (($i > $i > $o) > $i > $i > $i)). 11.17/2.39 thf(func_def_410, type, sK52: (($i > $i > $o) > $i > $i > $i)). 11.17/2.39 thf(func_def_411, type, sK53: (($i > $i > $o) > $i > $i > $i)). 11.17/2.39 thf(func_def_412, type, sK54: (($i > $i > $o) > $i > $i > $i)). 11.17/2.39 thf(func_def_413, type, sK55: (($i > $o) > $i)). 11.17/2.39 thf(func_def_414, type, sK56: (($i > $o) > $i)). 11.17/2.39 thf(func_def_415, type, sK57: (($i > $o) > $i)). 11.17/2.39 thf(func_def_416, type, sK58: (($i > $o) > $i)). 11.17/2.39 thf(func_def_417, type, sK59: ($i > $i)). 11.17/2.39 thf(func_def_418, type, sK60: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_419, type, sK61: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_420, type, sK62: (($i > $o) > $i)). 11.17/2.39 thf(func_def_421, type, sK63: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_422, type, sK64: (($i > $o) > $i)). 11.17/2.39 thf(func_def_423, type, sK65: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_424, type, sK66: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_425, type, sK67: ($i > $i > $i)). 11.17/2.39 thf(func_def_426, type, sK68: (($i > $o) > $i)). 11.17/2.39 thf(func_def_427, type, sK69: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_428, type, sK70: ($i > ($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_429, type, sK71: ($i > $i > $o > $i)). 11.17/2.39 thf(func_def_430, type, sK72: ($i > $i > $i)). 11.17/2.39 thf(func_def_431, type, sK73: ($i > $i > ($i > $i > $o) > $i)). 11.17/2.39 thf(func_def_432, type, sK74: ($i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_433, type, sK75: ($i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_434, type, sK76: ($i > ($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_435, type, sK77: ($i > ($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_436, type, sK78: ($i > ($i > $i) > $i > $i)). 11.17/2.39 thf(func_def_437, type, sK79: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_438, type, sK80: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_439, type, sK81: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_440, type, sK82: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_441, type, sK83: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_442, type, sK84: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_443, type, sK85: (($i > $i) > $i > $i > $i)). 11.17/2.39 thf(func_def_444, type, sK86: (($i > $o) > ($i > $o) > $i)). 11.17/2.39 thf(func_def_445, type, sK87: (($i > $o) > ($i > $o) > $i)). 11.17/2.39 thf(func_def_446, type, sK88: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_447, type, sK89: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_448, type, sK90: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_449, type, sK91: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_450, type, sK92: ($i > $i)). 11.17/2.39 thf(func_def_451, type, sK93: ($i > $i > $i)). 11.17/2.39 thf(func_def_452, type, sK94: ($i > $i > $i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_453, type, sK95: ($i > $i > $i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_454, type, sK96: ($i > $i > ($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_455, type, sK97: ($i > $i > $i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_456, type, sK98: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_457, type, sK99: ($i > $i > $i > $i)). 11.17/2.39 thf(func_def_458, type, sK100: (($i > $o) > ($i > $o) > $i)). 11.17/2.39 thf(func_def_459, type, sK101: (($i > $o) > ($i > $o) > $i)). 11.17/2.39 thf(func_def_460, type, sK102: (($i > $o) > $i)). 11.17/2.39 thf(func_def_461, type, sK103: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_462, type, sK104: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_463, type, sK105: (($i > $o) > $i)). 11.17/2.39 thf(func_def_464, type, sK106: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_465, type, sK107: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_466, type, sK108: (($i > $o) > $i)). 11.17/2.39 thf(func_def_467, type, sK109: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_468, type, sK110: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_469, type, sK111: (($i > $o) > $i)). 11.17/2.39 thf(func_def_470, type, sK112: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_471, type, sK113: ($i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_472, type, sK114: ($i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_473, type, sK115: ($i > ($i > $o) > $i)). 11.17/2.39 thf(func_def_474, type, sK116: (($i > $o) > $i)). 11.17/2.39 thf(func_def_475, type, sK117: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_476, type, sK118: (($i > $o) > $i > $i)). 11.17/2.39 thf(func_def_477, type, sK119: ($i > $i)). 11.17/2.39 thf(func_def_478, type, sK120: ($i > $i > ($i > $o) > ($i > $o) > $i)). 11.17/2.39 thf(func_def_479, type, sK121: ($i > ($i > $o) > ($i > $o) > $i > $i)). 11.17/2.39 thf(f185,axiom,( 11.17/2.39 (dpsetconstrI = ! [X1 : $i,X3 : $i,X2 : ($i > $i > $o),X0 : $i] : ((in @ X3 @ X0) => ! [X4 : $i] : ((in @ X4 @ X1) => ((X2 @ X3 @ X4) => (in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X0 @ X1 @ (^[X5 : $i, X6 : $i] : ((X2 @ X5 @ X6)))))))))), 11.17/2.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dpsetconstrI)). 11.17/2.39 thf(f296,axiom,( 11.17/2.39 ((^[X0 : $i, X1 : $i] : ((dpsetconstr @ X0 @ X0 @ (^[X2 : $i, X3 : $i] : ((in @ (kpair @ X3 @ X2) @ X1)))))) = breln1invset)), 11.17/2.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1invset)). 11.17/2.39 thf(f298,conjecture,( 11.17/2.39 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 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => ! [X0 : $i,X1 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((in @ X2 @ X0) => ! [X3 : $i] : ((in @ X3 @ X0) => ((in @ (kpair @ X2 @ X3) @ X1) => (in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 11.17/2.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1invI)). 11.17/2.39 thf(f299,negated_conjecture,( 11.17/2.39 ~(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 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => ! [X0 : $i,X1 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((in @ X2 @ X0) => ! [X3 : $i] : ((in @ X3 @ X0) => ((in @ (kpair @ X2 @ X3) @ X1) => (in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 11.17/2.39 inference(negated_conjecture,[status(cth)],[f298])). 11.17/2.39 thf(f415,plain,( 11.17/2.39 ((^[X0 : $i, X1 : $i] : ((dpsetconstr @ X0 @ X0 @ (^[X2 : $i, X3 : $i] : ((in @ (kpair @ X3 @ X2) @ X1)))))) = breln1invset)), 11.17/2.39 inference(rectify,[],[f296])). 11.17/2.39 thf(f416,plain,( 11.17/2.39 (breln1invset = (^[Y0 : $i]: ((^[Y1 : $i]: (dpsetconstr @ Y0 @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (in @ (kpair @ Y3 @ Y2) @ Y1)))))))))), 11.17/2.39 inference(fool_elimination,[],[f415])). 11.17/2.39 thf(f523,plain,( 11.17/2.39 (dpsetconstrI = ! [X0 : $i,X1 : $i,X2 : ($i > $i > $o),X3 : $i] : ((in @ X1 @ X3) => ! [X4 : $i] : ((in @ X4 @ X0) => ((X2 @ X1 @ X4) => (in @ (kpair @ X1 @ X4) @ (dpsetconstr @ X3 @ X0 @ (^[X5 : $i, X6 : $i] : ((X2 @ X5 @ X6)))))))))), 11.17/2.39 inference(rectify,[],[f185])). 11.17/2.39 thf(f524,plain,( 11.17/2.39 (dpsetconstrI = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y3) => ((Y1 @ Y2 @ Y4) => (in @ (kpair @ Y2 @ Y4) @ (dpsetconstr @ Y0 @ Y3 @ (^[Y5 : $i]: ((^[Y6 : $i]: (Y1 @ Y5 @ Y6)))))))))))))))))))))), 11.17/2.39 inference(fool_elimination,[],[f523])). 11.17/2.39 thf(f775,plain,( 11.17/2.39 ~(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 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => ! [X0 : $i,X1 : $i] : ((breln1 @ X0 @ X1) => ! [X2 : $i] : ((in @ X2 @ X0) => ! [X3 : $i] : ((in @ X3 @ X0) => ((in @ (kpair @ X2 @ X3) @ X1) => (in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 11.17/2.39 inference(rectify,[],[f299])). 11.17/2.39 thf(f776,plain,( 11.17/2.39 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ! [X1 : $i,X0 : $i] : ((((breln1 @ X0 @ X1)) = $true) => ! [X2 : $i] : ((((in @ X2 @ X0)) = $true) => ! [X3 : $i] : ((((in @ X3 @ X0)) = $true) => ((((in @ (kpair @ X2 @ X3) @ X1)) = $true) => (((in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1))) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 11.17/2.39 inference(fool_elimination,[],[f775])). 11.17/2.39 thf(f883,plain,( 11.17/2.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X1 : $i,X0 : $i] : (? [X2 : $i] : (? [X3 : $i] : (((((in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1))) != $true) & (((in @ (kpair @ X2 @ X3) @ X1)) = $true)) & (((in @ X3 @ X0)) = $true)) & (((in @ X2 @ X0)) = $true)) & (((breln1 @ X0 @ X1)) = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 11.17/2.39 inference(ennf_transformation,[],[f776])). 11.17/2.39 thf(f884,plain,( 11.17/2.39 (nonemptyI = $true) & (emptysetimpfalse = $true) & (cartprodmempaircEq = $true) & (exuI1 = $true) & (vacuousDall = $true) & (descrp = $true) & (binintersectTELcontra = $true) & (notdallE = $true) & (setukpairinjR11 = $true) & (powersetTI1 = $true) & (iftrueProp1 = $true) & (upairsetIR = $true) & (nonemptyE1 = $true) & (funcImageSingleton = $true) & (prop2setI = $true) & (exuE2 = $true) & (omega0Ax = $true) & (contraSubsetComplement = $true) & (woz13rule2 = $true) & (emptysetsubset = $true) & (prop2setE = $true) & (dpsetconstrSub = $true) & (inComplementUnionImpNotIn1 = $true) & (exuE3e = $true) & (setextT = $true) & (setadjoinAx = $true) & (sepInPowerset = $true) & (setunionsingleton1 = $true) & (dpsetconstrEL2 = $true) & (ksndsingleton = $true) & (descr__Cong = $true) & (singletonsswitch = $true) & (woz13rule0 = $true) & (demorgan1 = $true) & (iffalseProp2 = $true) & (eta2 = $true) & (binunionTILcontra = $true) & (quantDeMorgan4 = $true) & (subPowSU = $true) & (dpsetconstrEL1 = $true) & (setOfPairsIsBReln = $true) & (setadjoinIL = $true) & (woz1_3 = $true) & (app = $true) & (cartprodpairmemER = $true) & (lam2p = $true) & (omega__Cong = $true) & (beta1 = $true) & (infuncsetfunc = $true) & (setminusILneg = $true) & (setadjoinIR = $true) & (setminusER = $true) & (ex1E2 = $true) & (quantDeMorgan1 = $true) & (intersectInPowersetIntersectUnions = $true) & (binunionTEcontra = $true) & (ap2p = $true) & ? [X1 : $i,X0 : $i] : (? [X2 : $i] : (? [X3 : $i] : ((((in @ (kpair @ X2 @ X3) @ X1)) = $true) & (((in @ X3 @ X0)) = $true) & (((in @ (kpair @ X3 @ X2) @ (breln1invset @ X0 @ X1))) != $true)) & (((in @ X2 @ X0)) = $true)) & (((breln1 @ X0 @ X1)) = $true)) & (setunionAx = $true) & (ubforcartprodlem3 = $true) & (funcGraphProp3 = $true) & (nonemptyImpWitness = $true) & (funcGraphProp1 = $true) & (complementTnotintersectT = $true) & (setukpairinjL = $true) & (demorgan2b2 = $true) & (theeq = $true) & (lamp = $true) & (symdiffIneg1 = $true) & (binunionT_lem = $true) & (inIntersectImpInIntersectUnions = $true) & (binintersectT_lem = $true) & (powersetTE1 = $true) & (exuEu = $true) & (setadjoinSub2 = $true) & (symdiffIneg2 = $true) & (exuI2 = $true) & (binunionTIRcontra = $true) & (binintersectI = $true) & (iftrueProp2 = $true) & (uniqinunit = $true) & (ex1I2 = $true) & (singletoninpowunion = $true) & (powersetAx = $true) & (setunion__Cong = $true) & (demorgan2a1 = $true) & (ifp = $true) & (cartprodfstin = $true) & (binintersectLsub = $true) & (setadjoinE = $true) & (setminusT_lem = $true) & (breln1SetBreln1 = $true) & (setminusERneg = $true) & (setminusI = $true) & (setadjoin__Cong = $true) & (breln1invprop = $true) & (upairinpowunion = $true) & (theprop = $true) & (funcGraphProp2 = $true) & (emptyinunitempty = $true) & (cartprodmempair = $true) & (doubleComplementSub2 = $true) & (emptyset__Cong = $true) & (ubforcartprodlem2 = $true) & (eqinunit = $true) & (contrasubsetT3 = $true) & (breln1all2 = $true) & (powersetsubset = $true) & (eqimpsubset2 = $true) & (wellorderingAx = $true) & (upairset2IR = $true) & (setminusSubset2 = $true) & (singletoninpowerset = $true) & (complementTE1 = $true) & (kpairsurjEq = $true) & (setukpairIL = $true) & (setukpairinjR = $true) & (setukpairinjL2 = $true) & (lam2lamEq = $true) & (doubleComplementI1 = $true) & (ifSingleton = $true) & (demorgan2 = $true) & (doubleComplementE1 = $true) & (in__Cong = $true) & (setminusLsub = $true) & (emptyInPowerset = $true) & (contrasubsetT1 = $true) & (omegaSAx = $true) & (subbreln = $true) & (woz1_2 = $true) & (dsetconstr__Cong = $true) & (notdexE = $true) & (complementSubsetComplementIntersect = $true) & (binintersectSubset2 = $true) & (sepSubset = $true) & (complementTI1 = $true) & (iftrue = $true) & (upairsetE = $true) & (binunionIR = $true) & (cartprodmempair1 = $true) & (woz1_5 = $true) & (powersetI = $true) & (dsetconstrER = $true) & (apProp = $true) & (binintersectRsub = $true) & (setukpairIR = $true) & (binintersectEL = $true) & (doubleComplementSub1 = $true) & (binintersectSubset4 = $true) & (dpsetconstrI = $true) & (cartprodpairin = $true) & (upairequniteq = $true) & (complementUnionInPowersetComplement = $true) & (binunionTE = $true) & (replAx = $true) & (setukpairinjL1 = $true) & (exuE1 = $true) & (lamProp = $true) & (inCongP = $true) & (emptysetAx = $true) & (subsetI2 = $true) & (demorgan2a = $true) & (setunionI = $true) & (cartprodpairsurjEq = $true) & (setunionE = $true) & (kpairiskpair = $true) & (brelnall1 = $true) & (binunionEcases = $true) & (subbreln1 = $true) & (exuE3u = $true) & (inComplementUnionImpInComplement1 = $true) & (prop2set2propI = $true) & (dpsetconstrER = $true) & (binintersectSubset5 = $true) & (dsetconstrI = $true) & (binunionE = $true) & (setbeta = $true) & (woz13rule3 = $true) & (binunionRsub = $true) & (complementTcontraSubset = $true) & (binintersectSubset3 = $true) & (funcext = $true) & (funcGraphProp4 = $true) & (ex1I = $true) & (setunionE2 = $true) & (powersetE1 = $true) & (upairsubunion = $true) & (funcinfuncset = $true) & (disjointsetsI1 = $true) & (symdiffI2 = $true) & (setoftrueEq = $true) & (exu__Cong = $true) & (setukpairinjR1 = $true) & (beta2 = $true) & (singletonsubset = $true) & (notequalI2 = $true) & (eta1 = $true) & (setminusSubset1 = $true) & (subsetTI = $true) & (complementT_lem = $true) & (setukpairinjR2 = $true) & (binunionIL = $true) & (setext = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (powersetT_lem = $true) & (kfstpairEq = $true) & (setunionsingleton = $true) & (subsetI1 = $true) & (demorgan2a2 = $true) & (notinsingleton = $true) & (eqbreln1 = $true) & (ubforcartprodlem1 = $true) & (powersetE = $true) & (brelnall2 = $true) & (nonemptyI1 = $true) & (powersetI1 = $true) & (omegaIndAx = $true) & (dpsetconstrERa = $true) & (upairsetIL = $true) & (foundationAx = $true) & (doubleComplementEq = $true) & (funcextLem = $true) & (setunionsingleton2 = $true) & (complementInPowersetComplementIntersect = $true) & (ksndpairEq = $true) & (binunionLsub = $true) & (iftrueorfalse = $true) & (emptysetE = $true) & (setminusIRneg = $true) & (choice2fnsingleton = $true) & (demorgan1a = $true) & (inIntersectImpInUnion2 = $true) & (setminusEL = $true) & (cartprodsndin = $true) & (funcext2 = $true) & (setminusELneg = $true) & (woz13rule1 = $true) & (exuI3 = $true) & (demorgan2b = $true) & (ex1E1 = $true) & (setadjoinOr = $true) & (subsetE2 = $true) & (setextsub = $true) & (ap2apEq2 = $true) & (symdiffE = $true) & (binintersectER = $true) & (bs114d = $true) & (subsetE = $true) & (emptyI = $true) & (setextAx = $true) & (binintersectSubset1 = $true) & (powerset__Cong = $true) & (contrasubsetT2 = $true) & (cartprodfstpairEq = $true) & (inPowerset = $true) & (inIntersectImpInUnion = $true) & (dsetconstrEL = $true) & (cartprodsndpairEq = $true) & (woz1_1 = $true) & (woz13rule4 = $true) & (emptyinPowerset = $true) & (secondinupair = $true) & (demorgan1b = $true) & (setOfPairsIsBReln1 = $true) & (upairset2E = $true) & (emptyE1 = $true) & (kpairp = $true) & (ap2apEq1 = $true) & (setadjoinSub = $true) & (singletonsuniq = $true) & (kfstsingleton = $true) & (quantDeMorgan3 = $true) & (subsetemptysetimpeq = $true) & (breln1all1 = $true) & (noeltsimpempty = $true) & (contrasubsetT = $true) & (iffalseProp1 = $true) & (eqimpsubset1 = $true) & (binintersectTERcontra = $true) & (setukpairinjR12 = $true) & (cartprodpairmemEL = $true) & (notequalI1 = $true) & (notinemptyset = $true) & (singletonprop = $true) & (complementImpComplementIntersect = $true) & (symdiffI1 = $true) & (iffalse = $true) & (quantDeMorgan2 = $true) & (subset2powerset = $true) & (woz1_4 = $true) & (notsubsetI = $true) & (eqbreln = $true)), 11.17/2.39 inference(flattening,[],[f883])). 11.17/2.39 thf(f885,plain,( 11.17/2.39 (nonemptyI = $true) & (emptysetimpfalse = $true) & (cartprodmempaircEq = $true) & (exuI1 = $true) & (vacuousDall = $true) & (descrp = $true) & (binintersectTELcontra = $true) & (notdallE = $true) & (setukpairinjR11 = $true) & (powersetTI1 = $true) & (iftrueProp1 = $true) & (upairsetIR = $true) & (nonemptyE1 = $true) & (funcImageSingleton = $true) & (prop2setI = $true) & (exuE2 = $true) & (omega0Ax = $true) & (contraSubsetComplement = $true) & (woz13rule2 = $true) & (emptysetsubset = $true) & (prop2setE = $true) & (dpsetconstrSub = $true) & (inComplementUnionImpNotIn1 = $true) & (exuE3e = $true) & (setextT = $true) & (setadjoinAx = $true) & (sepInPowerset = $true) & (setunionsingleton1 = $true) & (dpsetconstrEL2 = $true) & (ksndsingleton = $true) & (descr__Cong = $true) & (singletonsswitch = $true) & (woz13rule0 = $true) & (demorgan1 = $true) & (iffalseProp2 = $true) & (eta2 = $true) & (binunionTILcontra = $true) & (quantDeMorgan4 = $true) & (subPowSU = $true) & (dpsetconstrEL1 = $true) & (setOfPairsIsBReln = $true) & (setadjoinIL = $true) & (woz1_3 = $true) & (app = $true) & (cartprodpairmemER = $true) & (lam2p = $true) & (omega__Cong = $true) & (beta1 = $true) & (infuncsetfunc = $true) & (setminusILneg = $true) & (setadjoinIR = $true) & (setminusER = $true) & (ex1E2 = $true) & (quantDeMorgan1 = $true) & (intersectInPowersetIntersectUnions = $true) & (binunionTEcontra = $true) & (ap2p = $true) & ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (? [X3 : $i] : ((((in @ (kpair @ X2 @ X3) @ X0)) = $true) & (((in @ X3 @ X1)) = $true) & (((in @ (kpair @ X3 @ X2) @ (breln1invset @ X1 @ X0))) != $true)) & (((in @ X2 @ X1)) = $true)) & ($true = ((breln1 @ X1 @ X0)))) & (setunionAx = $true) & (ubforcartprodlem3 = $true) & (funcGraphProp3 = $true) & (nonemptyImpWitness = $true) & (funcGraphProp1 = $true) & (complementTnotintersectT = $true) & (setukpairinjL = $true) & (demorgan2b2 = $true) & (theeq = $true) & (lamp = $true) & (symdiffIneg1 = $true) & (binunionT_lem = $true) & (inIntersectImpInIntersectUnions = $true) & (binintersectT_lem = $true) & (powersetTE1 = $true) & (exuEu = $true) & (setadjoinSub2 = $true) & (symdiffIneg2 = $true) & (exuI2 = $true) & (binunionTIRcontra = $true) & (binintersectI = $true) & (iftrueProp2 = $true) & (uniqinunit = $true) & (ex1I2 = $true) & (singletoninpowunion = $true) & (powersetAx = $true) & (setunion__Cong = $true) & (demorgan2a1 = $true) & (ifp = $true) & (cartprodfstin = $true) & (binintersectLsub = $true) & (setadjoinE = $true) & (setminusT_lem = $true) & (breln1SetBreln1 = $true) & (setminusERneg = $true) & (setminusI = $true) & (setadjoin__Cong = $true) & (breln1invprop = $true) & (upairinpowunion = $true) & (theprop = $true) & (funcGraphProp2 = $true) & (emptyinunitempty = $true) & (cartprodmempair = $true) & (doubleComplementSub2 = $true) & (emptyset__Cong = $true) & (ubforcartprodlem2 = $true) & (eqinunit = $true) & (contrasubsetT3 = $true) & (breln1all2 = $true) & (powersetsubset = $true) & (eqimpsubset2 = $true) & (wellorderingAx = $true) & (upairset2IR = $true) & (setminusSubset2 = $true) & (singletoninpowerset = $true) & (complementTE1 = $true) & (kpairsurjEq = $true) & (setukpairIL = $true) & (setukpairinjR = $true) & (setukpairinjL2 = $true) & (lam2lamEq = $true) & (doubleComplementI1 = $true) & (ifSingleton = $true) & (demorgan2 = $true) & (doubleComplementE1 = $true) & (in__Cong = $true) & (setminusLsub = $true) & (emptyInPowerset = $true) & (contrasubsetT1 = $true) & (omegaSAx = $true) & (subbreln = $true) & (woz1_2 = $true) & (dsetconstr__Cong = $true) & (notdexE = $true) & (complementSubsetComplementIntersect = $true) & (binintersectSubset2 = $true) & (sepSubset = $true) & (complementTI1 = $true) & (iftrue = $true) & (upairsetE = $true) & (binunionIR = $true) & (cartprodmempair1 = $true) & (woz1_5 = $true) & (powersetI = $true) & (dsetconstrER = $true) & (apProp = $true) & (binintersectRsub = $true) & (setukpairIR = $true) & (binintersectEL = $true) & (doubleComplementSub1 = $true) & (binintersectSubset4 = $true) & (dpsetconstrI = $true) & (cartprodpairin = $true) & (upairequniteq = $true) & (complementUnionInPowersetComplement = $true) & (binunionTE = $true) & (replAx = $true) & (setukpairinjL1 = $true) & (exuE1 = $true) & (lamProp = $true) & (inCongP = $true) & (emptysetAx = $true) & (subsetI2 = $true) & (demorgan2a = $true) & (setunionI = $true) & (cartprodpairsurjEq = $true) & (setunionE = $true) & (kpairiskpair = $true) & (brelnall1 = $true) & (binunionEcases = $true) & (subbreln1 = $true) & (exuE3u = $true) & (inComplementUnionImpInComplement1 = $true) & (prop2set2propI = $true) & (dpsetconstrER = $true) & (binintersectSubset5 = $true) & (dsetconstrI = $true) & (binunionE = $true) & (setbeta = $true) & (woz13rule3 = $true) & (binunionRsub = $true) & (complementTcontraSubset = $true) & (binintersectSubset3 = $true) & (funcext = $true) & (funcGraphProp4 = $true) & (ex1I = $true) & (setunionE2 = $true) & (powersetE1 = $true) & (upairsubunion = $true) & (funcinfuncset = $true) & (disjointsetsI1 = $true) & (symdiffI2 = $true) & (setoftrueEq = $true) & (exu__Cong = $true) & (setukpairinjR1 = $true) & (beta2 = $true) & (singletonsubset = $true) & (notequalI2 = $true) & (eta1 = $true) & (setminusSubset1 = $true) & (subsetTI = $true) & (complementT_lem = $true) & (setukpairinjR2 = $true) & (binunionIL = $true) & (setext = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (powersetT_lem = $true) & (kfstpairEq = $true) & (setunionsingleton = $true) & (subsetI1 = $true) & (demorgan2a2 = $true) & (notinsingleton = $true) & (eqbreln1 = $true) & (ubforcartprodlem1 = $true) & (powersetE = $true) & (brelnall2 = $true) & (nonemptyI1 = $true) & (powersetI1 = $true) & (omegaIndAx = $true) & (dpsetconstrERa = $true) & (upairsetIL = $true) & (foundationAx = $true) & (doubleComplementEq = $true) & (funcextLem = $true) & (setunionsingleton2 = $true) & (complementInPowersetComplementIntersect = $true) & (ksndpairEq = $true) & (binunionLsub = $true) & (iftrueorfalse = $true) & (emptysetE = $true) & (setminusIRneg = $true) & (choice2fnsingleton = $true) & (demorgan1a = $true) & (inIntersectImpInUnion2 = $true) & (setminusEL = $true) & (cartprodsndin = $true) & (funcext2 = $true) & (setminusELneg = $true) & (woz13rule1 = $true) & (exuI3 = $true) & (demorgan2b = $true) & (ex1E1 = $true) & (setadjoinOr = $true) & (subsetE2 = $true) & (setextsub = $true) & (ap2apEq2 = $true) & (symdiffE = $true) & (binintersectER = $true) & (bs114d = $true) & (subsetE = $true) & (emptyI = $true) & (setextAx = $true) & (binintersectSubset1 = $true) & (powerset__Cong = $true) & (contrasubsetT2 = $true) & (cartprodfstpairEq = $true) & (inPowerset = $true) & (inIntersectImpInUnion = $true) & (dsetconstrEL = $true) & (cartprodsndpairEq = $true) & (woz1_1 = $true) & (woz13rule4 = $true) & (emptyinPowerset = $true) & (secondinupair = $true) & (demorgan1b = $true) & (setOfPairsIsBReln1 = $true) & (upairset2E = $true) & (emptyE1 = $true) & (kpairp = $true) & (ap2apEq1 = $true) & (setadjoinSub = $true) & (singletonsuniq = $true) & (kfstsingleton = $true) & (quantDeMorgan3 = $true) & (subsetemptysetimpeq = $true) & (breln1all1 = $true) & (noeltsimpempty = $true) & (contrasubsetT = $true) & (iffalseProp1 = $true) & (eqimpsubset1 = $true) & (binintersectTERcontra = $true) & (setukpairinjR12 = $true) & (cartprodpairmemEL = $true) & (notequalI1 = $true) & (notinemptyset = $true) & (singletonprop = $true) & (complementImpComplementIntersect = $true) & (symdiffI1 = $true) & (iffalse = $true) & (quantDeMorgan2 = $true) & (subset2powerset = $true) & (woz1_4 = $true) & (notsubsetI = $true) & (eqbreln = $true)), 11.17/2.39 inference(rectify,[],[f884])). 11.17/2.39 thf(f886,plain,( 11.17/2.39 (nonemptyI = $true) & (emptysetimpfalse = $true) & (cartprodmempaircEq = $true) & (exuI1 = $true) & (vacuousDall = $true) & (descrp = $true) & (binintersectTELcontra = $true) & (notdallE = $true) & (setukpairinjR11 = $true) & (powersetTI1 = $true) & (iftrueProp1 = $true) & (upairsetIR = $true) & (nonemptyE1 = $true) & (funcImageSingleton = $true) & (prop2setI = $true) & (exuE2 = $true) & (omega0Ax = $true) & (contraSubsetComplement = $true) & (woz13rule2 = $true) & (emptysetsubset = $true) & (prop2setE = $true) & (dpsetconstrSub = $true) & (inComplementUnionImpNotIn1 = $true) & (exuE3e = $true) & (setextT = $true) & (setadjoinAx = $true) & (sepInPowerset = $true) & (setunionsingleton1 = $true) & (dpsetconstrEL2 = $true) & (ksndsingleton = $true) & (descr__Cong = $true) & (singletonsswitch = $true) & (woz13rule0 = $true) & (demorgan1 = $true) & (iffalseProp2 = $true) & (eta2 = $true) & (binunionTILcontra = $true) & (quantDeMorgan4 = $true) & (subPowSU = $true) & (dpsetconstrEL1 = $true) & (setOfPairsIsBReln = $true) & (setadjoinIL = $true) & (woz1_3 = $true) & (app = $true) & (cartprodpairmemER = $true) & (lam2p = $true) & (omega__Cong = $true) & (beta1 = $true) & (infuncsetfunc = $true) & (setminusILneg = $true) & (setadjoinIR = $true) & (setminusER = $true) & (ex1E2 = $true) & (quantDeMorgan1 = $true) & (intersectInPowersetIntersectUnions = $true) & (binunionTEcontra = $true) & (ap2p = $true) & ((((((in @ (kpair @ sK2 @ sK3) @ sK0)) = $true) & (((in @ sK3 @ sK1)) = $true) & ($true != ((in @ (kpair @ sK3 @ sK2) @ (breln1invset @ sK1 @ sK0))))) & (((in @ sK2 @ sK1)) = $true)) & ($true = ((breln1 @ sK1 @ sK0)))) & (setunionAx = $true) & (ubforcartprodlem3 = $true) & (funcGraphProp3 = $true) & (nonemptyImpWitness = $true) & (funcGraphProp1 = $true) & (complementTnotintersectT = $true) & (setukpairinjL = $true) & (demorgan2b2 = $true) & (theeq = $true) & (lamp = $true) & (symdiffIneg1 = $true) & (binunionT_lem = $true) & (inIntersectImpInIntersectUnions = $true) & (binintersectT_lem = $true) & (powersetTE1 = $true) & (exuEu = $true) & (setadjoinSub2 = $true) & (symdiffIneg2 = $true) & (exuI2 = $true) & (binunionTIRcontra = $true) & (binintersectI = $true) & (iftrueProp2 = $true) & (uniqinunit = $true) & (ex1I2 = $true) & (singletoninpowunion = $true) & (powersetAx = $true) & (setunion__Cong = $true) & (demorgan2a1 = $true) & (ifp = $true) & (cartprodfstin = $true) & (binintersectLsub = $true) & (setadjoinE = $true) & (setminusT_lem = $true) & (breln1SetBreln1 = $true) & (setminusERneg = $true) & (setminusI = $true) & (setadjoin__Cong = $true) & (breln1invprop = $true) & (upairinpowunion = $true) & (theprop = $true) & (funcGraphProp2 = $true) & (emptyinunitempty = $true) & (cartprodmempair = $true) & (doubleComplementSub2 = $true) & (emptyset__Cong = $true) & (ubforcartprodlem2 = $true) & (eqinunit = $true) & (contrasubsetT3 = $true) & (breln1all2 = $true) & (powersetsubset = $true) & (eqimpsubset2 = $true) & (wellorderingAx = $true) & (upairset2IR = $true) & (setminusSubset2 = $true) & (singletoninpowerset = $true) & (complementTE1 = $true) & (kpairsurjEq = $true) & (setukpairIL = $true) & (setukpairinjR = $true) & (setukpairinjL2 = $true) & (lam2lamEq = $true) & (doubleComplementI1 = $true) & (ifSingleton = $true) & (demorgan2 = $true) & (doubleComplementE1 = $true) & (in__Cong = $true) & (setminusLsub = $true) & (emptyInPowerset = $true) & (contrasubsetT1 = $true) & (omegaSAx = $true) & (subbreln = $true) & (woz1_2 = $true) & (dsetconstr__Cong = $true) & (notdexE = $true) & (complementSubsetComplementIntersect = $true) & (binintersectSubset2 = $true) & (sepSubset = $true) & (complementTI1 = $true) & (iftrue = $true) & (upairsetE = $true) & (binunionIR = $true) & (cartprodmempair1 = $true) & (woz1_5 = $true) & (powersetI = $true) & (dsetconstrER = $true) & (apProp = $true) & (binintersectRsub = $true) & (setukpairIR = $true) & (binintersectEL = $true) & (doubleComplementSub1 = $true) & (binintersectSubset4 = $true) & (dpsetconstrI = $true) & (cartprodpairin = $true) & (upairequniteq = $true) & (complementUnionInPowersetComplement = $true) & (binunionTE = $true) & (replAx = $true) & (setukpairinjL1 = $true) & (exuE1 = $true) & (lamProp = $true) & (inCongP = $true) & (emptysetAx = $true) & (subsetI2 = $true) & (demorgan2a = $true) & (setunionI = $true) & (cartprodpairsurjEq = $true) & (setunionE = $true) & (kpairiskpair = $true) & (brelnall1 = $true) & (binunionEcases = $true) & (subbreln1 = $true) & (exuE3u = $true) & (inComplementUnionImpInComplement1 = $true) & (prop2set2propI = $true) & (dpsetconstrER = $true) & (binintersectSubset5 = $true) & (dsetconstrI = $true) & (binunionE = $true) & (setbeta = $true) & (woz13rule3 = $true) & (binunionRsub = $true) & (complementTcontraSubset = $true) & (binintersectSubset3 = $true) & (funcext = $true) & (funcGraphProp4 = $true) & (ex1I = $true) & (setunionE2 = $true) & (powersetE1 = $true) & (upairsubunion = $true) & (funcinfuncset = $true) & (disjointsetsI1 = $true) & (symdiffI2 = $true) & (setoftrueEq = $true) & (exu__Cong = $true) & (setukpairinjR1 = $true) & (beta2 = $true) & (singletonsubset = $true) & (notequalI2 = $true) & (eta1 = $true) & (setminusSubset1 = $true) & (subsetTI = $true) & (complementT_lem = $true) & (setukpairinjR2 = $true) & (binunionIL = $true) & (setext = $true) & (subsetTrans = $true) & (subsetRefl = $true) & (powersetT_lem = $true) & (kfstpairEq = $true) & (setunionsingleton = $true) & (subsetI1 = $true) & (demorgan2a2 = $true) & (notinsingleton = $true) & (eqbreln1 = $true) & (ubforcartprodlem1 = $true) & (powersetE = $true) & (brelnall2 = $true) & (nonemptyI1 = $true) & (powersetI1 = $true) & (omegaIndAx = $true) & (dpsetconstrERa = $true) & (upairsetIL = $true) & (foundationAx = $true) & (doubleComplementEq = $true) & (funcextLem = $true) & (setunionsingleton2 = $true) & (complementInPowersetComplementIntersect = $true) & (ksndpairEq = $true) & (binunionLsub = $true) & (iftrueorfalse = $true) & (emptysetE = $true) & (setminusIRneg = $true) & (choice2fnsingleton = $true) & (demorgan1a = $true) & (inIntersectImpInUnion2 = $true) & (setminusEL = $true) & (cartprodsndin = $true) & (funcext2 = $true) & (setminusELneg = $true) & (woz13rule1 = $true) & (exuI3 = $true) & (demorgan2b = $true) & (ex1E1 = $true) & (setadjoinOr = $true) & (subsetE2 = $true) & (setextsub = $true) & (ap2apEq2 = $true) & (symdiffE = $true) & (binintersectER = $true) & (bs114d = $true) & (subsetE = $true) & (emptyI = $true) & (setextAx = $true) & (binintersectSubset1 = $true) & (powerset__Cong = $true) & (contrasubsetT2 = $true) & (cartprodfstpairEq = $true) & (inPowerset = $true) & (inIntersectImpInUnion = $true) & (dsetconstrEL = $true) & (cartprodsndpairEq = $true) & (woz1_1 = $true) & (woz13rule4 = $true) & (emptyinPowerset = $true) & (secondinupair = $true) & (demorgan1b = $true) & (setOfPairsIsBReln1 = $true) & (upairset2E = $true) & (emptyE1 = $true) & (kpairp = $true) & (ap2apEq1 = $true) & (setadjoinSub = $true) & (singletonsuniq = $true) & (kfstsingleton = $true) & (quantDeMorgan3 = $true) & (subsetemptysetimpeq = $true) & (breln1all1 = $true) & (noeltsimpempty = $true) & (contrasubsetT = $true) & (iffalseProp1 = $true) & (eqimpsubset1 = $true) & (binintersectTERcontra = $true) & (setukpairinjR12 = $true) & (cartprodpairmemEL = $true) & (notequalI1 = $true) & (notinemptyset = $true) & (singletonprop = $true) & (complementImpComplementIntersect = $true) & (symdiffI1 = $true) & (iffalse = $true) & (quantDeMorgan2 = $true) & (subset2powerset = $true) & (woz1_4 = $true) & (notsubsetI = $true) & (eqbreln = $true)), 11.17/2.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f885])). 11.17/2.39 thf(f1044,plain,( 11.17/2.39 (dpsetconstrI = $true)), 11.17/2.39 inference(cnf_transformation,[],[f886])). 11.17/2.39 thf(f1137,plain,( 11.17/2.39 (((in @ sK2 @ sK1)) = $true)), 11.17/2.39 inference(cnf_transformation,[],[f886])). 11.17/2.39 thf(f1138,plain,( 11.17/2.39 ($true != ((in @ (kpair @ sK3 @ sK2) @ (breln1invset @ sK1 @ sK0))))), 11.17/2.39 inference(cnf_transformation,[],[f886])). 11.17/2.39 thf(f1139,plain,( 11.17/2.39 (((in @ sK3 @ sK1)) = $true)), 11.17/2.39 inference(cnf_transformation,[],[f886])). 11.17/2.39 thf(f1140,plain,( 11.17/2.39 (((in @ (kpair @ sK2 @ sK3) @ sK0)) = $true)), 11.17/2.39 inference(cnf_transformation,[],[f886])). 11.17/2.39 thf(f1366,plain,( 11.17/2.39 (dpsetconstrI = ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y3) => ((Y1 @ Y2 @ Y4) => (in @ (kpair @ Y2 @ Y4) @ (dpsetconstr @ Y0 @ Y3 @ (^[Y5 : $i]: ((^[Y6 : $i]: (Y1 @ Y5 @ Y6)))))))))))))))))))))), 11.17/2.39 inference(cnf_transformation,[],[f524])). 11.17/2.39 thf(f1371,plain,( 11.17/2.39 (breln1invset = (^[Y0 : $i]: ((^[Y1 : $i]: (dpsetconstr @ Y0 @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (in @ (kpair @ Y3 @ Y2) @ Y1)))))))))), 11.17/2.39 inference(cnf_transformation,[],[f416])). 11.17/2.39 thf(f1498,plain,( 11.17/2.39 (((in @ (kpair @ sK3 @ sK2) @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dpsetconstr @ Y0 @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (in @ (kpair @ Y3 @ Y2) @ Y1)))))))) @ sK1 @ sK0))) != $true)), 11.17/2.39 inference(definition_unfolding,[],[f1138,f1371])). 11.17/2.39 thf(f1666,plain,( 11.17/2.39 (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y3) => ((Y1 @ Y2 @ Y4) => (in @ (kpair @ Y2 @ Y4) @ (dpsetconstr @ Y0 @ Y3 @ (^[Y5 : $i]: ((^[Y6 : $i]: (Y1 @ Y5 @ Y6)))))))))))))))))))) = $true)), 11.17/2.39 inference(definition_unfolding,[],[f1366,f1044])). 11.17/2.39 thf(f4736,plain,( 11.17/2.39 (((in @ (kpair @ sK3 @ sK2) @ (dpsetconstr @ sK1 @ sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (in @ (kpair @ Y1 @ Y0) @ sK0))))))) != $true)), 11.17/2.39 inference(beta-eta_normalization,[],[f1498])). 11.17/2.39 thf(f5013,plain,( 11.17/2.39 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y3) => ((Y1 @ Y2 @ Y4) => (in @ (kpair @ Y2 @ Y4) @ (dpsetconstr @ Y0 @ Y3 @ (^[Y5 : $i]: ((^[Y6 : $i]: (Y1 @ Y5 @ Y6)))))))))))))))))) @ X1)) = $true)) )), 11.17/2.39 inference(pi_proxy_clausification,[],[f1666])). 11.17/2.39 thf(f5014,plain,( 11.17/2.39 ( ! [X1 : $i] : ((((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ X1) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) => ((Y0 @ Y1 @ Y3) => (in @ (kpair @ Y1 @ Y3) @ (dpsetconstr @ X1 @ Y2 @ Y0)))))))))))))) = $true)) )), 11.17/2.39 inference(beta-eta_normalization,[],[f5013])). 11.17/2.39 thf(f5015,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X1 : $i] : (($true = (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ X1) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) => ((Y0 @ Y1 @ Y3) => (in @ (kpair @ Y1 @ Y3) @ (dpsetconstr @ X1 @ Y2 @ Y0)))))))))))) @ X2)))) )), 11.17/2.39 inference(pi_proxy_clausification,[],[f5014])). 11.17/2.39 thf(f5016,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((X2 @ Y0 @ Y2) => (in @ (kpair @ Y0 @ Y2) @ (dpsetconstr @ X1 @ Y1 @ X2)))))))))))) = $true)) )), 11.17/2.39 inference(beta-eta_normalization,[],[f5015])). 11.17/2.39 thf(f5017,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X3 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((X2 @ Y0 @ Y2) => (in @ (kpair @ Y0 @ Y2) @ (dpsetconstr @ X1 @ Y1 @ X2)))))))))) @ X3)))) )), 11.17/2.39 inference(pi_proxy_clausification,[],[f5016])). 11.17/2.39 thf(f5018,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X3 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((X2 @ X3 @ Y1) => (in @ (kpair @ X3 @ Y1) @ (dpsetconstr @ X1 @ Y0 @ X2)))))))))))) )), 11.17/2.39 inference(beta-eta_normalization,[],[f5017])). 11.17/2.39 thf(f5019,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X3 : $i,X1 : $i,X4 : $i] : (($true = (((^[Y0 : $i]: ((in @ X3 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((X2 @ X3 @ Y1) => (in @ (kpair @ X3 @ Y1) @ (dpsetconstr @ X1 @ Y0 @ X2)))))))) @ X4)))) )), 11.17/2.39 inference(pi_proxy_clausification,[],[f5018])). 11.17/2.39 thf(f5020,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X3 : $i,X1 : $i,X4 : $i] : (((((in @ X3 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X4) => ((X2 @ X3 @ Y0) => (in @ (kpair @ X3 @ Y0) @ (dpsetconstr @ X1 @ X4 @ X2)))))))) = $true)) )), 11.17/2.39 inference(beta-eta_normalization,[],[f5019])). 11.17/2.39 thf(f5021,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X3 : $i,X1 : $i,X4 : $i] : ((((in @ X3 @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X4) => ((X2 @ X3 @ Y0) => (in @ (kpair @ X3 @ Y0) @ (dpsetconstr @ X1 @ X4 @ X2))))))) = $true)) )), 11.17/2.39 inference(imp_proxy_clausification,[],[f5020])). 11.17/2.39 thf(f5022,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((((^[Y0 : $i]: ((in @ Y0 @ X4) => ((X2 @ X3 @ Y0) => (in @ (kpair @ X3 @ Y0) @ (dpsetconstr @ X1 @ X4 @ X2))))) @ X5)) = $true) | (((in @ X3 @ X1)) = $false)) )), 11.17/2.39 inference(pi_proxy_clausification,[],[f5021])). 11.17/2.39 thf(f5023,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((((in @ X5 @ X4) => ((X2 @ X3 @ X5) => (in @ (kpair @ X3 @ X5) @ (dpsetconstr @ X1 @ X4 @ X2))))) = $true) | (((in @ X3 @ X1)) = $false)) )), 11.17/2.39 inference(beta-eta_normalization,[],[f5022])). 11.17/2.39 thf(f5024,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((((X2 @ X3 @ X5) => (in @ (kpair @ X3 @ X5) @ (dpsetconstr @ X1 @ X4 @ X2)))) = $true) | ($false = ((in @ X5 @ X4))) | (((in @ X3 @ X1)) = $false)) )), 11.17/2.39 inference(imp_proxy_clausification,[],[f5023])). 11.17/2.39 thf(f5025,plain,( 11.17/2.39 ( ! [X2 : ($i > $i > $o),X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = ((in @ (kpair @ X3 @ X5) @ (dpsetconstr @ X1 @ X4 @ X2)))) | (((in @ X3 @ X1)) = $false) | ($false = ((in @ X5 @ X4))) | ($false = ((X2 @ X3 @ X5)))) )), 11.17/2.39 inference(imp_proxy_clausification,[],[f5024])). 11.17/2.39 thf(f9053,plain,( 11.17/2.39 ($true != $true) | (((in @ sK3 @ sK1)) = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (in @ (kpair @ Y1 @ Y0) @ sK0)))) @ sK3 @ sK2)) = $false) | (((in @ sK2 @ sK1)) = $false)), 11.17/2.39 inference(superposition,[],[f4736,f5025])). 11.17/2.39 thf(f9069,plain,( 11.17/2.39 ((((^[Y0 : $i]: ((^[Y1 : $i]: (in @ (kpair @ Y1 @ Y0) @ sK0)))) @ sK3 @ sK2)) = $false) | (((in @ sK2 @ sK1)) = $false) | (((in @ sK3 @ sK1)) = $false)), 11.17/2.39 inference(trivial_inequality_removal,[],[f9053])). 11.17/2.39 thf(f9070,plain,( 11.17/2.39 (((in @ sK2 @ sK1)) = $false) | ($false = ((in @ (kpair @ sK2 @ sK3) @ sK0))) | (((in @ sK3 @ sK1)) = $false)), 11.17/2.39 inference(beta-eta_normalization,[],[f9069])). 11.17/2.39 thf(f9071,plain,( 11.17/2.39 ($false = $true) | ($false = ((in @ (kpair @ sK2 @ sK3) @ sK0))) | (((in @ sK3 @ sK1)) = $false)), 11.17/2.39 inference(forward_demodulation,[],[f9070,f1137])). 11.17/2.39 thf(f9072,plain,( 11.17/2.39 ($false = ((in @ (kpair @ sK2 @ sK3) @ sK0))) | (((in @ sK3 @ sK1)) = $false)), 11.17/2.39 inference(trivial_inequality_removal,[],[f9071])). 11.17/2.39 thf(f9073,plain,( 11.17/2.39 ($false = $true) | (((in @ sK3 @ sK1)) = $false)), 11.17/2.39 inference(forward_demodulation,[],[f9072,f1140])). 11.17/2.39 thf(f9074,plain,( 11.17/2.39 (((in @ sK3 @ sK1)) = $false)), 11.17/2.39 inference(trivial_inequality_removal,[],[f9073])). 11.17/2.39 thf(f9077,plain,( 11.17/2.39 ($false = $true)), 11.17/2.39 inference(superposition,[],[f1139,f9074])). 11.17/2.39 thf(f9079,plain,( 11.17/2.39 $false), 11.17/2.39 inference(trivial_inequality_removal,[],[f9077])). 11.17/2.39 % SZS output end Proof for theBenchmark 11.17/2.39 % (1050364)------------------------------ 11.17/2.39 % (1050364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.17/2.39 % (1050364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.17/2.39 % (1050364)CaDiCaL version: 2.1.3 11.17/2.39 % (1050364)Termination reason: Refutation 11.17/2.39 % (1050364)Time elapsed: 0.673 s 11.17/2.39 % (1050364)Peak memory usage: 17 MB 11.17/2.39 % (1050364)Instructions burned: 737 (million) 11.17/2.39 % (1050244)Success in time 1.69 s 11.17/2.39 % Vampire exiting 11.17/2.40 EOF