0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.38 % Computer : n023.cluster.edu 0.12/0.38 % Model : x86_64 x86_64 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.38 % Memory : 8046.5625MB 0.12/0.38 % OS : Linux 6.8.0-71-generic 0.12/0.38 % CPULimit : 1440 0.12/0.38 % WCLimit : 180 0.12/0.38 % DateTime : Mon Jul 27 15:04:36 UTC 2026 0.12/0.38 % CPUTime : 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.42 Running higher-order theorem proving 0.12/0.45 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.79/0.60 % (1069243)Detected a higher-order problem, will run a greedy HOL sequence. 0.79/0.60 % (1069252)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1963602973:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi) 0.79/0.60 % (1069254)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on 0.79/0.60 % (1069254)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 0.79/0.60 % (1069248)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1853978661:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi) 0.79/0.60 % (1069249)lrs+10_16_si=on:nwc=1.5:random_seed=1323589327:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi) 0.79/0.60 % (1069250)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3358886577:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi) 0.79/0.60 % (1069251)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=2658909446:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1799 on theBenchmark for (1799ds/634Mi) 0.79/0.60 % (1069253)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4258457607:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi) 0.79/0.60 % (1069252)Instruction limit reached! 0.79/0.60 % (1069252)------------------------------ 0.79/0.60 % (1069252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.60 % (1069252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.60 % (1069252)CaDiCaL version: 2.1.3 0.79/0.60 % (1069252)Termination reason: Instruction limit 0.79/0.60 % (1069252)Termination phase: Preprocessing 3 0.79/0.60 % (1069252)Time elapsed: 0.007 s 0.79/0.60 % (1069252)Peak memory usage: 11 MB 0.79/0.60 % (1069252)Instructions burned: 28 (million) 0.79/0.60 % (1069254)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=2138623241:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi) 0.79/0.60 % (1069250)Instruction limit reached! 0.79/0.60 % (1069250)------------------------------ 0.79/0.60 % (1069250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.60 % (1069250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.60 % (1069250)CaDiCaL version: 2.1.3 0.79/0.60 % (1069250)Termination reason: Instruction limit 0.79/0.60 % (1069250)Termination phase: shuffling 0.79/0.60 % (1069250)Time elapsed: 0.003 s 0.79/0.60 % (1069250)Peak memory usage: 10 MB 0.79/0.60 % (1069250)Instructions burned: 5 (million) 0.79/0.60 % (1069249)Instruction limit reached! 0.79/0.60 % (1069249)------------------------------ 0.79/0.60 % (1069249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.60 % (1069249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.60 % (1069249)CaDiCaL version: 2.1.3 0.79/0.60 % (1069249)Termination reason: Instruction limit 0.79/0.60 % (1069249)Termination phase: shuffling 0.79/0.60 % (1069249)Time elapsed: 0.008 s 0.79/0.60 % (1069249)Peak memory usage: 10 MB 0.79/0.60 % (1069249)Instructions burned: 19 (million) 0.79/0.60 % (1069262)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2476173629:i=2:hud=10:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 0.79/0.60 % (1069262)Instruction limit reached! 0.79/0.60 % (1069262)------------------------------ 0.79/0.60 % (1069262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.60 % (1069262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.60 % (1069262)CaDiCaL version: 2.1.3 0.79/0.60 % (1069262)Termination reason: Instruction limit 0.79/0.60 % (1069262)Termination phase: shuffling 0.79/0.60 % (1069262)Time elapsed: 0.002 s 0.79/0.60 % (1069262)Peak memory usage: 10 MB 0.79/0.60 % (1069262)Instructions burned: 10 (million) 0.79/0.60 % (1069263)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3800474322:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1799 on theBenchmark for (1799ds/5Mi) 0.79/0.63 % (1069263)Instruction limit reached! 0.79/0.63 % (1069263)------------------------------ 0.79/0.63 % (1069263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.63 % (1069263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.63 % (1069263)CaDiCaL version: 2.1.3 0.79/0.63 % (1069263)Termination reason: Instruction limit 0.79/0.63 % (1069263)Termination phase: shuffling 0.79/0.63 % (1069263)Time elapsed: 0.003 s 0.79/0.63 % (1069263)Peak memory usage: 10 MB 0.79/0.63 % (1069263)Instructions burned: 6 (million) 0.79/0.63 % (1069266)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2342596943:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_1799 on theBenchmark for (1799ds/12Mi) 0.79/0.63 % (1069264)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 0.79/0.63 % (1069266)Instruction limit reached! 0.79/0.63 % (1069266)------------------------------ 0.79/0.63 % (1069266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.63 % (1069266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.63 % (1069266)CaDiCaL version: 2.1.3 0.79/0.63 % (1069266)Termination reason: Instruction limit 0.79/0.63 % (1069266)Termination phase: shuffling 0.79/0.63 % (1069266)Time elapsed: 0.003 s 0.79/0.63 % (1069266)Peak memory usage: 10 MB 0.79/0.63 % (1069266)Instructions burned: 13 (million) 0.79/0.63 % (1069253)Instruction limit reached! 0.79/0.63 % (1069253)------------------------------ 0.79/0.63 % (1069253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.63 % (1069253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.63 % (1069253)CaDiCaL version: 2.1.3 0.79/0.63 % (1069253)Termination reason: Instruction limit 0.79/0.63 % (1069253)Termination phase: Property scanning 0.79/0.63 % (1069253)Time elapsed: 0.035 s 0.79/0.63 % (1069253)Peak memory usage: 12 MB 0.79/0.63 % (1069253)Instructions burned: 77 (million) 0.79/0.63 % (1069264)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4126288167:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1799 on theBenchmark for (1799ds/7Mi) 0.79/0.63 % (1069248)Instruction limit reached! 0.79/0.63 % (1069248)------------------------------ 0.79/0.63 % (1069248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.63 % (1069248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.63 % (1069248)CaDiCaL version: 2.1.3 0.79/0.63 % (1069248)Termination reason: Instruction limit 0.79/0.63 % (1069248)Termination phase: Function definition elimination 0.79/0.63 % (1069248)Time elapsed: 0.040 s 0.79/0.63 % (1069248)Peak memory usage: 12 MB 0.79/0.63 % (1069248)Instructions burned: 88 (million) 0.79/0.63 % (1069270)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=3366450686:i=86:piset=equals:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/86Mi) 0.79/0.63 % (1069269)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 0.79/0.63 % (1069269)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 0.79/0.63 % (1069269)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1046212856:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1799 on theBenchmark for (1799ds/28Mi) 0.79/0.63 % (1069264)Instruction limit reached! 0.79/0.63 % (1069264)------------------------------ 0.79/0.63 % (1069264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.63 % (1069264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.63 % (1069264)CaDiCaL version: 2.1.3 0.79/0.63 % (1069264)Termination reason: Instruction limit 0.79/0.63 % (1069264)Termination phase: shuffling 0.79/0.63 % (1069264)Time elapsed: 0.011 s 0.79/0.63 % (1069264)Peak memory usage: 10 MB 0.79/0.63 % (1069264)Instructions burned: 9 (million) 0.79/0.63 % (1069273)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on 0.79/0.66 % (1069272)lrs+10_1_si=on:cs=on:random_seed=95385271:i=8:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/8Mi) 0.79/0.66 % (1069273)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=625432554:i=2:add=on:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 0.79/0.66 % (1069269)Instruction limit reached! 0.79/0.66 % (1069269)------------------------------ 0.79/0.66 % (1069269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.66 % (1069269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.66 % (1069269)CaDiCaL version: 2.1.3 0.79/0.66 % (1069269)Termination reason: Instruction limit 0.79/0.66 % (1069269)Termination phase: Property scanning 0.79/0.66 % (1069269)Time elapsed: 0.012 s 0.79/0.66 % (1069269)Peak memory usage: 10 MB 0.79/0.66 % (1069269)Instructions burned: 29 (million) 0.79/0.66 % (1069272)Instruction limit reached! 0.79/0.66 % (1069272)------------------------------ 0.79/0.66 % (1069272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.66 % (1069273)Instruction limit reached! 0.79/0.66 % (1069273)------------------------------ 0.79/0.66 % (1069273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.66 % (1069273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.66 % (1069272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.66 % (1069273)CaDiCaL version: 2.1.3 0.79/0.66 % (1069273)Termination reason: Instruction limit 0.79/0.66 % (1069273)Termination phase: shuffling 0.79/0.66 % (1069272)CaDiCaL version: 2.1.3 0.79/0.66 % (1069273)Time elapsed: 0.001 s 0.79/0.66 % (1069272)Termination reason: Instruction limit 0.79/0.66 % (1069272)Termination phase: shuffling 0.79/0.66 % (1069273)Peak memory usage: 9 MB 0.79/0.66 % (1069272)Time elapsed: 0.005 s 0.79/0.66 % (1069273)Instructions burned: 2 (million) 0.79/0.66 % (1069272)Peak memory usage: 10 MB 0.79/0.66 % (1069272)Instructions burned: 10 (million) 0.79/0.66 % (1069270)Instruction limit reached! 0.79/0.66 % (1069270)------------------------------ 0.79/0.66 % (1069270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.66 % (1069270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.66 % (1069270)CaDiCaL version: 2.1.3 0.79/0.66 % (1069270)Termination reason: Instruction limit 0.79/0.66 % (1069270)Termination phase: Saturation 0.79/0.66 % (1069270)Time elapsed: 0.019 s 0.79/0.66 % (1069270)Peak memory usage: 12 MB 0.79/0.66 % (1069270)Instructions burned: 87 (million) 0.79/0.66 % (1069254)Instruction limit reached! 0.79/0.66 % (1069254)------------------------------ 0.79/0.66 % (1069254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.79/0.66 % (1069254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.79/0.66 % (1069254)CaDiCaL version: 2.1.3 0.79/0.66 % (1069254)Termination reason: Instruction limit 0.79/0.66 % (1069254)Termination phase: Saturation 0.79/0.66 % (1069254)Time elapsed: 0.068 s 0.79/0.66 % (1069254)Peak memory usage: 14 MB 0.79/0.66 % (1069254)Instructions burned: 158 (million) 0.79/0.66 % (1069282)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3877739835:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/327Mi) 0.79/0.66 % (1069279)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3147201781:st=2:i=249:sd=1:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/249Mi) 0.79/0.66 % (1069281)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=252360827:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_1798 on theBenchmark for (1798ds/14Mi) 0.79/0.66 % (1069280)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1308965192:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1798 on theBenchmark for (1798ds/25Mi) 0.79/0.66 % (1069276)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1258337391:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_1799 on theBenchmark for (1799ds/38Mi) 0.79/0.66 % (1069283)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=77602569:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_1798 on theBenchmark for (1798ds/14Mi) 0.79/0.66 % (1069281)Instruction limit reached! 0.79/0.66 % (1069281)------------------------------ 1.23/0.69 % (1069281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.23/0.69 % (1069281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.23/0.69 % (1069281)CaDiCaL version: 2.1.3 1.23/0.69 % (1069281)Termination reason: Instruction limit 1.23/0.69 % (1069281)Termination phase: shuffling 1.23/0.69 % (1069281)Time elapsed: 0.007 s 1.23/0.69 % (1069281)Peak memory usage: 10 MB 1.23/0.69 % (1069281)Instructions burned: 16 (million) 1.23/0.69 % (1069280)Instruction limit reached! 1.23/0.69 % (1069280)------------------------------ 1.23/0.69 % (1069280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.23/0.69 % (1069280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.23/0.69 % (1069280)CaDiCaL version: 2.1.3 1.23/0.69 % (1069280)Termination reason: Instruction limit 1.23/0.69 % (1069280)Termination phase: Preprocessing 1 1.23/0.69 % (1069280)Time elapsed: 0.012 s 1.23/0.69 % (1069280)Peak memory usage: 10 MB 1.23/0.69 % (1069280)Instructions burned: 25 (million) 1.23/0.69 % (1069283)Instruction limit reached! 1.23/0.69 % (1069283)------------------------------ 1.23/0.69 % (1069283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.23/0.69 % (1069283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.23/0.69 % (1069283)CaDiCaL version: 2.1.3 1.23/0.69 % (1069283)Termination reason: Instruction limit 1.23/0.69 % (1069283)Termination phase: shuffling 1.23/0.69 % (1069283)Time elapsed: 0.007 s 1.23/0.69 % (1069283)Peak memory usage: 10 MB 1.23/0.69 % (1069283)Instructions burned: 15 (million) 1.23/0.69 % (1069279)Refutation not found, incomplete strategy 1.23/0.69 % (1069279)------------------------------ 1.23/0.69 % (1069279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.23/0.69 % (1069279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.23/0.69 % (1069279)CaDiCaL version: 2.1.3 1.23/0.69 % (1069279)Termination reason: Refutation not found, incomplete strategy 1.23/0.69 % (1069279)Time elapsed: 0.022 s 1.23/0.69 % (1069279)Peak memory usage: 12 MB 1.23/0.69 % (1069279)Instructions burned: 50 (million) 1.23/0.69 % (1069279)------------------------------ 1.23/0.69 % (1069279)------------------------------ 1.23/0.69 % (1069276)Instruction limit reached! 1.23/0.69 % (1069276)------------------------------ 1.23/0.69 % (1069276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.23/0.69 % (1069276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.23/0.69 % (1069276)CaDiCaL version: 2.1.3 1.23/0.69 % (1069276)Termination reason: Instruction limit 1.23/0.69 % (1069276)Termination phase: Property scanning 1.23/0.69 % (1069276)Time elapsed: 0.018 s 1.23/0.69 % (1069276)Peak memory usage: 11 MB 1.23/0.69 % (1069276)Instructions burned: 39 (million) 1.23/0.69 % (1069290)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=390794024:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_1798 on theBenchmark for (1798ds/2Mi) 1.23/0.69 % (1069290)Instruction limit reached! 1.23/0.69 % (1069290)------------------------------ 1.23/0.69 % (1069290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.23/0.69 % (1069290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.23/0.69 % (1069290)CaDiCaL version: 2.1.3 1.23/0.69 % (1069290)Termination reason: Instruction limit 1.23/0.69 % (1069290)Termination phase: shuffling 1.23/0.69 % (1069290)Time elapsed: 0.002 s 1.23/0.69 % (1069290)Peak memory usage: 10 MB 1.23/0.69 % (1069290)Instructions burned: 3 (million) 1.23/0.69 % (1069291)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2687540337:i=26:ep=R:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/26Mi) 1.23/0.69 % (1069292)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=769772480:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_1798 on theBenchmark for (1798ds/23Mi) 1.23/0.69 % (1069294)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 1.23/0.69 % (1069294)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs 1.23/0.69 % (1069293)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3023289919:cond=on:i=60:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/60Mi) 1.50/0.74 % (1069294)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=3923274856:i=14:add=off:nm=40:rtra=on:rawr=on_1798 on theBenchmark for (1798ds/14Mi) 1.50/0.74 % (1069291)Instruction limit reached! 1.50/0.74 % (1069291)------------------------------ 1.50/0.74 % (1069291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.74 % (1069291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.74 % (1069291)CaDiCaL version: 2.1.3 1.50/0.74 % (1069291)Termination reason: Instruction limit 1.50/0.74 % (1069291)Termination phase: Property scanning 1.50/0.74 % (1069291)Time elapsed: 0.012 s 1.50/0.74 % (1069291)Peak memory usage: 10 MB 1.50/0.74 % (1069291)Instructions burned: 28 (million) 1.50/0.74 % (1069296)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off 1.50/0.74 % (1069292)Instruction limit reached! 1.50/0.74 % (1069292)------------------------------ 1.50/0.74 % (1069292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.74 % (1069292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.74 % (1069292)CaDiCaL version: 2.1.3 1.50/0.74 % (1069292)Termination reason: Instruction limit 1.50/0.74 % (1069292)Termination phase: Property scanning 1.50/0.74 % (1069292)Time elapsed: 0.011 s 1.50/0.74 % (1069292)Peak memory usage: 10 MB 1.50/0.74 % (1069292)Instructions burned: 25 (million) 1.50/0.74 % (1069296)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=3434953295:i=8:nm=2:rtra=on:fe=abstraction:inj=on_1798 on theBenchmark for (1798ds/8Mi) 1.50/0.74 % (1069294)Instruction limit reached! 1.50/0.74 % (1069294)------------------------------ 1.50/0.74 % (1069294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.74 % (1069294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.74 % (1069294)CaDiCaL version: 2.1.3 1.50/0.74 % (1069294)Termination reason: Instruction limit 1.50/0.74 % (1069294)Termination phase: shuffling 1.50/0.74 % (1069294)Time elapsed: 0.007 s 1.50/0.74 % (1069294)Peak memory usage: 10 MB 1.50/0.74 % (1069294)Instructions burned: 15 (million) 1.50/0.74 % (1069296)Instruction limit reached! 1.50/0.74 % (1069296)------------------------------ 1.50/0.74 % (1069296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.74 % (1069296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.74 % (1069296)CaDiCaL version: 2.1.3 1.50/0.74 % (1069296)Termination reason: Instruction limit 1.50/0.74 % (1069296)Termination phase: shuffling 1.50/0.74 % (1069296)Time elapsed: 0.004 s 1.50/0.74 % (1069296)Peak memory usage: 10 MB 1.50/0.74 % (1069296)Instructions burned: 8 (million) 1.50/0.74 % (1069302)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2967899295:i=7:hud=5:bd=preordered:rtra=on:bet=on_1798 on theBenchmark for (1798ds/7Mi) 1.50/0.74 % (1069301)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=3579162557:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_1798 on theBenchmark for (1798ds/31Mi) 1.50/0.74 % (1069302)Instruction limit reached! 1.50/0.74 % (1069302)------------------------------ 1.50/0.74 % (1069302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.74 % (1069302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.74 % (1069302)CaDiCaL version: 2.1.3 1.50/0.74 % (1069302)Termination reason: Instruction limit 1.50/0.74 % (1069302)Termination phase: shuffling 1.50/0.74 % (1069302)Time elapsed: 0.003 s 1.50/0.74 % (1069302)Peak memory usage: 10 MB 1.50/0.74 % (1069302)Instructions burned: 7 (million) 1.50/0.74 % (1069304)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2208677141:i=23:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/23Mi) 1.50/0.74 % (1069293)Instruction limit reached! 1.50/0.74 % (1069293)------------------------------ 1.50/0.74 % (1069293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.80 % (1069293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.80 % (1069293)CaDiCaL version: 2.1.3 1.50/0.80 % (1069293)Termination reason: Instruction limit 1.50/0.80 % (1069293)Termination phase: Property scanning 1.50/0.80 % (1069293)Time elapsed: 0.028 s 1.50/0.80 % (1069293)Peak memory usage: 12 MB 1.50/0.80 % (1069293)Instructions burned: 62 (million) 1.50/0.80 % (1069305)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4172961606:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_1798 on theBenchmark for (1798ds/20Mi) 1.50/0.80 % (1069282)Instruction limit reached! 1.50/0.80 % (1069282)------------------------------ 1.50/0.80 % (1069282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.80 % (1069282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.80 % (1069282)CaDiCaL version: 2.1.3 1.50/0.80 % (1069282)Termination reason: Instruction limit 1.50/0.80 % (1069282)Termination phase: Saturation 1.50/0.80 % (1069282)Time elapsed: 0.080 s 1.50/0.80 % (1069282)Peak memory usage: 15 MB 1.50/0.80 % (1069282)Instructions burned: 329 (million) 1.50/0.80 % (1069301)Instruction limit reached! 1.50/0.80 % (1069301)------------------------------ 1.50/0.80 % (1069301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.80 % (1069301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.80 % (1069301)CaDiCaL version: 2.1.3 1.50/0.80 % (1069301)Termination reason: Instruction limit 1.50/0.80 % (1069301)Termination phase: Property scanning 1.50/0.80 % (1069301)Time elapsed: 0.013 s 1.50/0.80 % (1069301)Peak memory usage: 10 MB 1.50/0.80 % (1069301)Instructions burned: 31 (million) 1.50/0.80 % (1069304)Instruction limit reached! 1.50/0.80 % (1069304)------------------------------ 1.50/0.80 % (1069304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.80 % (1069304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.80 % (1069304)CaDiCaL version: 2.1.3 1.50/0.80 % (1069304)Termination reason: Instruction limit 1.50/0.80 % (1069304)Termination phase: Property scanning 1.50/0.80 % (1069304)Time elapsed: 0.011 s 1.50/0.80 % (1069304)Peak memory usage: 10 MB 1.50/0.80 % (1069304)Instructions burned: 23 (million) 1.50/0.80 % (1069305)Instruction limit reached! 1.50/0.80 % (1069305)------------------------------ 1.50/0.80 % (1069305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.80 % (1069305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.80 % (1069305)CaDiCaL version: 2.1.3 1.50/0.80 % (1069305)Termination reason: Instruction limit 1.50/0.80 % (1069305)Termination phase: Property scanning 1.50/0.80 % (1069305)Time elapsed: 0.009 s 1.50/0.80 % (1069305)Peak memory usage: 10 MB 1.50/0.80 % (1069305)Instructions burned: 21 (million) 1.50/0.80 % (1069312)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1717995007:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/193Mi) 1.50/0.80 % (1069308)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=192550157:i=1240:rtra=on:ixr=off_1798 on theBenchmark for (1798ds/1240Mi) 1.50/0.80 % (1069310)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1329533917:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1798 on theBenchmark for (1798ds/143Mi) 1.50/0.80 % (1069314)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 1.50/0.80 % (1069313)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=660949555:i=42:hud=10:rtra=on_1797 on theBenchmark for (1797ds/42Mi) 1.50/0.80 % (1069312)Refutation not found, incomplete strategy 1.50/0.80 % (1069312)------------------------------ 1.50/0.80 % (1069312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.50/0.80 % (1069312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.80 % (1069312)CaDiCaL version: 2.1.3 1.50/0.80 % (1069312)Termination reason: Refutation not found, incomplete strategy 1.50/0.80 % (1069312)Time elapsed: 0.014 s 1.50/0.80 % (1069312)Peak memory usage: 13 MB 1.50/0.80 % (1069312)Instructions burned: 60 (million) 1.50/0.80 % (1069314)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=901881557:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1797 on theBenchmark for (1797ds/7Mi) 2.06/0.88 % (1069312)------------------------------ 2.06/0.88 % (1069312)------------------------------ 2.06/0.88 % (1069315)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2228961291:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_1797 on theBenchmark for (1797ds/181Mi) 2.06/0.88 % (1069314)Instruction limit reached! 2.06/0.88 % (1069314)------------------------------ 2.06/0.88 % (1069314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.06/0.88 % (1069314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.06/0.88 % (1069314)CaDiCaL version: 2.1.3 2.06/0.88 % (1069314)Termination reason: Instruction limit 2.06/0.88 % (1069314)Termination phase: shuffling 2.06/0.88 % (1069314)Time elapsed: 0.003 s 2.06/0.88 % (1069314)Peak memory usage: 10 MB 2.06/0.88 % (1069314)Instructions burned: 7 (million) 2.06/0.88 % (1069321)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=4268798273:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_1797 on theBenchmark for (1797ds/169Mi) 2.06/0.88 % (1069313)Instruction limit reached! 2.06/0.88 % (1069313)------------------------------ 2.06/0.88 % (1069313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.06/0.88 % (1069313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.06/0.88 % (1069313)CaDiCaL version: 2.1.3 2.06/0.88 % (1069313)Termination reason: Instruction limit 2.06/0.88 % (1069313)Termination phase: Property scanning 2.06/0.88 % (1069313)Time elapsed: 0.018 s 2.06/0.88 % (1069313)Peak memory usage: 10 MB 2.06/0.88 % (1069313)Instructions burned: 44 (million) 2.06/0.88 % (1069323)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on 2.06/0.88 % (1069323)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3128036701:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_1797 on theBenchmark for (1797ds/6Mi) 2.06/0.88 % (1069323)Instruction limit reached! 2.06/0.88 % (1069323)------------------------------ 2.06/0.88 % (1069323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.06/0.88 % (1069323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.06/0.88 % (1069323)CaDiCaL version: 2.1.3 2.06/0.88 % (1069323)Termination reason: Instruction limit 2.06/0.88 % (1069323)Termination phase: shuffling 2.06/0.88 % (1069323)Time elapsed: 0.006 s 2.06/0.88 % (1069323)Peak memory usage: 10 MB 2.06/0.88 % (1069323)Instructions burned: 6 (million) 2.06/0.88 % (1069325)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2103520494:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1797 on theBenchmark for (1797ds/22Mi) 2.06/0.88 % (1069325)Instruction limit reached! 2.06/0.88 % (1069325)------------------------------ 2.06/0.88 % (1069325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.06/0.88 % (1069325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.06/0.88 % (1069325)CaDiCaL version: 2.1.3 2.06/0.88 % (1069325)Termination reason: Instruction limit 2.06/0.88 % (1069325)Termination phase: Property scanning 2.06/0.88 % (1069325)Time elapsed: 0.010 s 2.06/0.88 % (1069325)Peak memory usage: 10 MB 2.06/0.88 % (1069325)Instructions burned: 22 (million) 2.06/0.88 % (1069310)Instruction limit reached! 2.06/0.88 % (1069310)------------------------------ 2.06/0.88 % (1069310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.06/0.88 % (1069310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.06/0.88 % (1069310)CaDiCaL version: 2.1.3 2.06/0.88 % (1069310)Termination reason: Instruction limit 2.06/0.88 % (1069310)Termination phase: Saturation 2.06/0.88 % (1069310)Time elapsed: 0.060 s 2.06/0.88 % (1069310)Peak memory usage: 13 MB 2.06/0.88 % (1069310)Instructions burned: 144 (million) 2.06/0.88 % (1069321)Instruction limit reached! 2.06/0.88 % (1069321)------------------------------ 2.06/0.88 % (1069321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.06/0.88 % (1069321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.06/0.88 % (1069321)CaDiCaL version: 2.1.3 2.06/0.88 % (1069321)Termination reason: Instruction limit 2.06/0.88 % (1069321)Termination phase: Saturation 2.42/0.94 % (1069321)Time elapsed: 0.044 s 2.42/0.94 % (1069321)Peak memory usage: 13 MB 2.42/0.94 % (1069321)Instructions burned: 172 (million) 2.42/0.94 % (1069329)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=1239863188:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_1797 on theBenchmark for (1797ds/316Mi) 2.42/0.94 % (1069331)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=2279224855:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_1797 on theBenchmark for (1797ds/45Mi) 2.42/0.94 % (1069327)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1632459482:i=19:add=on:rtra=on_1797 on theBenchmark for (1797ds/19Mi) 2.42/0.94 % (1069330)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=3921482167:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_1797 on theBenchmark for (1797ds/853Mi) 2.42/0.94 % (1069327)Instruction limit reached! 2.42/0.94 % (1069327)------------------------------ 2.42/0.94 % (1069327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/0.94 % (1069327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/0.94 % (1069327)CaDiCaL version: 2.1.3 2.42/0.94 % (1069327)Termination reason: Instruction limit 2.42/0.94 % (1069327)Termination phase: shuffling 2.42/0.94 % (1069327)Time elapsed: 0.010 s 2.42/0.94 % (1069327)Peak memory usage: 10 MB 2.42/0.94 % (1069327)Instructions burned: 19 (million) 2.42/0.94 % (1069331)Instruction limit reached! 2.42/0.94 % (1069331)------------------------------ 2.42/0.94 % (1069331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/0.94 % (1069331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/0.94 % (1069331)CaDiCaL version: 2.1.3 2.42/0.94 % (1069331)Termination reason: Instruction limit 2.42/0.94 % (1069331)Termination phase: Preprocessing 3 2.42/0.95 % (1069331)Time elapsed: 0.011 s 2.42/0.95 % (1069331)Peak memory usage: 11 MB 2.42/0.95 % (1069331)Instructions burned: 47 (million) 2.42/0.95 % (1069315)Instruction limit reached! 2.42/0.95 % (1069315)------------------------------ 2.42/0.95 % (1069315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/0.95 % (1069315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/0.95 % (1069315)CaDiCaL version: 2.1.3 2.42/0.95 % (1069315)Termination reason: Instruction limit 2.42/0.95 % (1069315)Termination phase: Saturation 2.42/0.95 % (1069315)Time elapsed: 0.087 s 2.42/0.95 % (1069315)Peak memory usage: 14 MB 2.42/0.95 % (1069315)Instructions burned: 181 (million) 2.42/0.95 % (1069337)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1373777657:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_1796 on theBenchmark for (1796ds/21Mi) 2.42/0.95 % (1069337)Instruction limit reached! 2.42/0.95 % (1069337)------------------------------ 2.42/0.95 % (1069337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/0.95 % (1069337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/0.95 % (1069337)CaDiCaL version: 2.1.3 2.42/0.95 % (1069337)Termination reason: Instruction limit 2.42/0.95 % (1069337)Termination phase: Property scanning 2.42/0.95 % (1069337)Time elapsed: 0.006 s 2.42/0.95 % (1069337)Peak memory usage: 10 MB 2.42/0.95 % (1069337)Instructions burned: 25 (million) 2.42/0.95 % (1069336)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1273511410:i=480:rtra=on_1796 on theBenchmark for (1796ds/480Mi) 2.42/0.95 % (1069339)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 2.42/0.95 % (1069340)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2134716741:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_1796 on theBenchmark for (1796ds/13Mi) 2.42/0.95 % (1069339)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3114391185:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_1796 on theBenchmark for (1796ds/200Mi) 2.42/0.95 % (1069340)Instruction limit reached! 2.42/1.03 % (1069340)------------------------------ 2.42/1.03 % (1069340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/1.03 % (1069340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/1.03 % (1069340)CaDiCaL version: 2.1.3 2.42/1.03 % (1069340)Termination reason: Instruction limit 2.42/1.03 % (1069340)Termination phase: shuffling 2.42/1.03 % (1069340)Time elapsed: 0.003 s 2.42/1.03 % (1069340)Peak memory usage: 10 MB 2.42/1.03 % (1069340)Instructions burned: 14 (million) 2.42/1.03 % (1069344)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=1133308276:i=66:s2at=3:nm=2:rtra=on:rawr=on_1796 on theBenchmark for (1796ds/66Mi) 2.42/1.03 % (1069344)Instruction limit reached! 2.42/1.03 % (1069344)------------------------------ 2.42/1.03 % (1069344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/1.03 % (1069344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/1.03 % (1069344)CaDiCaL version: 2.1.3 2.42/1.03 % (1069344)Termination reason: Instruction limit 2.42/1.03 % (1069344)Termination phase: Property scanning 2.42/1.03 % (1069344)Time elapsed: 0.014 s 2.42/1.03 % (1069344)Peak memory usage: 11 MB 2.42/1.03 % (1069344)Instructions burned: 67 (million) 2.42/1.03 % (1069251)Instruction limit reached! 2.42/1.03 % (1069251)------------------------------ 2.42/1.03 % (1069251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/1.03 % (1069251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/1.03 % (1069251)CaDiCaL version: 2.1.3 2.42/1.03 % (1069251)Termination reason: Instruction limit 2.42/1.03 % (1069251)Termination phase: Saturation 2.42/1.03 % (1069251)Time elapsed: 0.322 s 2.42/1.03 % (1069251)Peak memory usage: 18 MB 2.42/1.03 % (1069251)Instructions burned: 635 (million) 2.42/1.03 % (1069346)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3305281148:i=51:fsr=off:rtra=on_1796 on theBenchmark for (1796ds/51Mi) 2.42/1.03 % (1069346)Instruction limit reached! 2.42/1.03 % (1069346)------------------------------ 2.42/1.03 % (1069346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/1.03 % (1069346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/1.03 % (1069346)CaDiCaL version: 2.1.3 2.42/1.03 % (1069346)Termination reason: Instruction limit 2.42/1.03 % (1069346)Termination phase: Property scanning 2.42/1.03 % (1069346)Time elapsed: 0.011 s 2.42/1.03 % (1069346)Peak memory usage: 10 MB 2.42/1.03 % (1069346)Instructions burned: 54 (million) 2.42/1.03 % (1069348)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4026608446:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_1796 on theBenchmark for (1796ds/31Mi) 2.42/1.03 % (1069349)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1695693241:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_1796 on theBenchmark for (1796ds/137Mi) 2.42/1.03 % (1069336)Refutation not found, incomplete strategy 2.42/1.03 % (1069336)------------------------------ 2.42/1.03 % (1069336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/1.03 % (1069336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/1.03 % (1069336)CaDiCaL version: 2.1.3 2.42/1.03 % (1069336)Termination reason: Refutation not found, incomplete strategy 2.42/1.03 % (1069336)Time elapsed: 0.079 s 2.42/1.03 % (1069336)Peak memory usage: 16 MB 2.42/1.03 % (1069336)Instructions burned: 165 (million) 2.42/1.03 % (1069336)------------------------------ 2.42/1.03 % (1069336)------------------------------ 2.42/1.03 % (1069348)Instruction limit reached! 2.42/1.03 % (1069348)------------------------------ 2.42/1.03 % (1069348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.42/1.03 % (1069348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.42/1.03 % (1069348)CaDiCaL version: 2.1.3 2.42/1.03 % (1069348)Termination reason: Instruction limit 2.42/1.03 % (1069348)Termination phase: Property scanning 2.42/1.03 % (1069348)Time elapsed: 0.013 s 2.42/1.03 % (1069348)Peak memory usage: 10 MB 2.42/1.03 % (1069348)Instructions burned: 32 (million) 2.42/1.03 % (1069339)Instruction limit reached! 2.42/1.03 % (1069339)------------------------------ 2.42/1.03 % (1069339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.20 % (1069339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.20 % (1069339)CaDiCaL version: 2.1.3 4.93/1.20 % (1069339)Termination reason: Instruction limit 4.93/1.20 % (1069339)Termination phase: Saturation 4.93/1.20 % (1069339)Time elapsed: 0.086 s 4.93/1.20 % (1069339)Peak memory usage: 14 MB 4.93/1.20 % (1069339)Instructions burned: 201 (million) 4.93/1.20 % (1069352)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=4110614770:cond=on:i=34:hud=10:nm=10:rtra=on_1795 on theBenchmark for (1795ds/34Mi) 4.93/1.20 % (1069353)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1661114112:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_1795 on theBenchmark for (1795ds/67Mi) 4.93/1.20 % (1069349)Instruction limit reached! 4.93/1.20 % (1069349)------------------------------ 4.93/1.20 % (1069349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.20 % (1069349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.20 % (1069349)CaDiCaL version: 2.1.3 4.93/1.20 % (1069349)Termination reason: Instruction limit 4.93/1.20 % (1069349)Termination phase: Saturation 4.93/1.20 % (1069349)Time elapsed: 0.031 s 4.93/1.20 % (1069349)Peak memory usage: 13 MB 4.93/1.20 % (1069349)Instructions burned: 139 (million) 4.93/1.20 % (1069357)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2670693200:st=2:i=246:sd=3:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/246Mi) 4.93/1.20 % (1069354)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off 4.93/1.20 % (1069352)Instruction limit reached! 4.93/1.20 % (1069352)------------------------------ 4.93/1.20 % (1069352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.20 % (1069352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.20 % (1069352)CaDiCaL version: 2.1.3 4.93/1.20 % (1069352)Termination reason: Instruction limit 4.93/1.20 % (1069352)Termination phase: Property scanning 4.93/1.20 % (1069352)Time elapsed: 0.016 s 4.93/1.20 % (1069352)Peak memory usage: 10 MB 4.93/1.20 % (1069352)Instructions burned: 37 (million) 4.93/1.20 % (1069354)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3452611382:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_1795 on theBenchmark for (1795ds/180Mi) 4.93/1.20 % (1069329)Instruction limit reached! 4.93/1.20 % (1069329)------------------------------ 4.93/1.20 % (1069329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.20 % (1069329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.20 % (1069329)CaDiCaL version: 2.1.3 4.93/1.20 % (1069329)Termination reason: Instruction limit 4.93/1.20 % (1069329)Termination phase: Saturation 4.93/1.20 % (1069329)Time elapsed: 0.151 s 4.93/1.20 % (1069329)Peak memory usage: 15 MB 4.93/1.20 % (1069329)Instructions burned: 318 (million) 4.93/1.20 % (1069353)Instruction limit reached! 4.93/1.20 % (1069353)------------------------------ 4.93/1.20 % (1069353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.20 % (1069353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 4.93/1.20 % (1069353)CaDiCaL version: 2.1.3 4.93/1.20 % (1069353)Termination reason: Instruction limit 4.93/1.20 % (1069353)Termination phase: Property scanning 4.93/1.20 % (1069353)Time elapsed: 0.028 s 4.93/1.20 % (1069353)Peak memory usage: 11 MB 4.93/1.20 % (1069353)Instructions burned: 68 (million) 4.93/1.20 % (1069359)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1496851145:cond=on:i=96:bd=all:rtra=on_1795 on theBenchmark for (1795ds/96Mi) 4.93/1.20 % (1069361)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3939049758:i=427:sd=1:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/427Mi) 4.93/1.20 % (1069362)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3361872656:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/874Mi) 4.93/1.20 % (1069361)Refutation not found, incomplete strategy 4.93/1.20 % (1069361)------------------------------ 4.93/1.20 % (1069361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 4.93/1.20 % (1069361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.31 % (1069361)CaDiCaL version: 2.1.3 5.31/1.31 % (1069361)Termination reason: Refutation not found, incomplete strategy 5.31/1.31 % (1069361)Time elapsed: 0.020 s 5.31/1.31 % (1069361)Peak memory usage: 12 MB 5.31/1.31 % (1069361)Instructions burned: 47 (million) 5.31/1.31 % (1069361)------------------------------ 5.31/1.31 % (1069361)------------------------------ 5.31/1.31 % (1069357)Instruction limit reached! 5.31/1.31 % (1069357)------------------------------ 5.31/1.31 % (1069357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.31 % (1069357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.31 % (1069357)CaDiCaL version: 2.1.3 5.31/1.31 % (1069357)Termination reason: Instruction limit 5.31/1.31 % (1069357)Termination phase: Saturation 5.31/1.31 % (1069357)Time elapsed: 0.061 s 5.31/1.31 % (1069357)Peak memory usage: 15 MB 5.31/1.31 % (1069357)Instructions burned: 250 (million) 5.31/1.31 % (1069359)Instruction limit reached! 5.31/1.31 % (1069359)------------------------------ 5.31/1.31 % (1069359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.31 % (1069359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.31 % (1069359)CaDiCaL version: 2.1.3 5.31/1.31 % (1069359)Termination reason: Instruction limit 5.31/1.31 % (1069359)Termination phase: Saturation 5.31/1.31 % (1069359)Time elapsed: 0.040 s 5.31/1.31 % (1069359)Peak memory usage: 12 MB 5.31/1.31 % (1069359)Instructions burned: 97 (million) 5.31/1.31 % (1069366)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3369701328:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/515Mi) 5.31/1.31 % (1069367)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3838075663:st=1.5:i=130:rtra=on:ss=axioms_1795 on theBenchmark for (1795ds/130Mi) 5.31/1.31 % (1069368)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=449293747:i=44:ep=R:rtra=on:ntd=on_1795 on theBenchmark for (1795ds/44Mi) 5.31/1.31 % (1069354)Instruction limit reached! 5.31/1.31 % (1069354)------------------------------ 5.31/1.31 % (1069354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.31 % (1069354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.31 % (1069354)CaDiCaL version: 2.1.3 5.31/1.31 % (1069354)Termination reason: Instruction limit 5.31/1.31 % (1069354)Termination phase: Saturation 5.31/1.31 % (1069354)Time elapsed: 0.080 s 5.31/1.31 % (1069354)Peak memory usage: 13 MB 5.31/1.31 % (1069354)Instructions burned: 181 (million) 5.31/1.31 % (1069368)Instruction limit reached! 5.31/1.31 % (1069368)------------------------------ 5.31/1.31 % (1069368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.31 % (1069368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.31 % (1069368)CaDiCaL version: 2.1.3 5.31/1.31 % (1069368)Termination reason: Instruction limit 5.31/1.31 % (1069368)Termination phase: Property scanning 5.31/1.31 % (1069368)Time elapsed: 0.019 s 5.31/1.31 % (1069368)Peak memory usage: 10 MB 5.31/1.31 % (1069368)Instructions burned: 45 (million) 5.31/1.31 % (1069372)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2708964515:s2a=on:i=571:nm=16:rtra=on_1794 on theBenchmark for (1794ds/571Mi) 5.31/1.32 % (1069367)Instruction limit reached! 5.31/1.32 % (1069367)------------------------------ 5.31/1.32 % (1069367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.32 % (1069367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.32 % (1069367)CaDiCaL version: 2.1.3 5.31/1.32 % (1069367)Termination reason: Instruction limit 5.31/1.32 % (1069367)Termination phase: Saturation 5.31/1.32 % (1069367)Time elapsed: 0.033 s 5.31/1.32 % (1069367)Peak memory usage: 13 MB 5.31/1.32 % (1069367)Instructions burned: 131 (million) 5.31/1.32 % (1069375)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2701901217:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_1794 on theBenchmark for (1794ds/95Mi) 5.31/1.32 % (1069375)Instruction limit reached! 5.31/1.32 % (1069375)------------------------------ 5.31/1.32 % (1069375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.32 % (1069375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.32 % (1069375)CaDiCaL version: 2.1.3 5.31/1.39 % (1069375)Termination reason: Instruction limit 5.31/1.39 % (1069375)Termination phase: Saturation 5.31/1.39 % (1069375)Time elapsed: 0.021 s 5.31/1.39 % (1069375)Peak memory usage: 12 MB 5.31/1.39 % (1069375)Instructions burned: 98 (million) 5.31/1.39 % (1069373)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1950703393:i=450:rtra=on:ixr=off:ntd=on_1794 on theBenchmark for (1794ds/450Mi) 5.31/1.39 % (1069377)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=1075158162:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_1794 on theBenchmark for (1794ds/65Mi) 5.31/1.39 % (1069377)Instruction limit reached! 5.31/1.39 % (1069377)------------------------------ 5.31/1.39 % (1069377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.39 % (1069377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.39 % (1069377)CaDiCaL version: 2.1.3 5.31/1.39 % (1069377)Termination reason: Instruction limit 5.31/1.39 % (1069377)Termination phase: Function definition elimination 5.31/1.39 % (1069377)Time elapsed: 0.014 s 5.31/1.39 % (1069377)Peak memory usage: 11 MB 5.31/1.39 % (1069377)Instructions burned: 68 (million) 5.31/1.39 % (1069380)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=3122834112: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_1794 on theBenchmark for (1794ds/105Mi) 5.31/1.39 % (1069380)Instruction limit reached! 5.31/1.39 % (1069380)------------------------------ 5.31/1.39 % (1069380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.39 % (1069380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.39 % (1069380)CaDiCaL version: 2.1.3 5.31/1.39 % (1069380)Termination reason: Instruction limit 5.31/1.39 % (1069380)Termination phase: Saturation 5.31/1.39 % (1069380)Time elapsed: 0.023 s 5.31/1.39 % (1069380)Peak memory usage: 12 MB 5.31/1.39 % (1069380)Instructions burned: 110 (million) 5.31/1.39 % (1069372)Refutation not found, incomplete strategy 5.31/1.39 % (1069372)------------------------------ 5.31/1.39 % (1069372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.39 % (1069372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.39 % (1069372)CaDiCaL version: 2.1.3 5.31/1.39 % (1069372)Termination reason: Refutation not found, incomplete strategy 5.31/1.39 % (1069372)Time elapsed: 0.096 s 5.31/1.39 % (1069372)Peak memory usage: 15 MB 5.31/1.39 % (1069372)Instructions burned: 193 (million) 5.31/1.39 % (1069372)------------------------------ 5.31/1.39 % (1069372)------------------------------ 5.31/1.39 % (1069382)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=4205130997:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_1793 on theBenchmark for (1793ds/5755Mi) 5.31/1.39 % (1069383)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=287605735:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_1793 on theBenchmark for (1793ds/375Mi) 5.31/1.39 % (1069330)Instruction limit reached! 5.31/1.39 % (1069330)------------------------------ 5.31/1.39 % (1069330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.39 % (1069330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.39 % (1069330)CaDiCaL version: 2.1.3 5.31/1.39 % (1069330)Termination reason: Instruction limit 5.31/1.39 % (1069330)Termination phase: Saturation 5.31/1.39 % (1069330)Time elapsed: 0.415 s 5.31/1.39 % (1069330)Peak memory usage: 19 MB 5.31/1.39 % (1069330)Instructions burned: 853 (million) 5.31/1.39 % (1069386)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2771757772:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1792 on theBenchmark for (1792ds/495Mi) 5.31/1.39 % (1069366)Instruction limit reached! 5.31/1.39 % (1069366)------------------------------ 5.31/1.39 % (1069366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.31/1.39 % (1069366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.31/1.39 % (1069366)CaDiCaL version: 2.1.3 5.83/1.49 % (1069366)Termination reason: Instruction limit 5.83/1.49 % (1069366)Termination phase: Saturation 5.83/1.49 % (1069366)Time elapsed: 0.236 s 5.83/1.49 % (1069366)Peak memory usage: 18 MB 5.83/1.49 % (1069366)Instructions burned: 515 (million) 5.83/1.49 % (1069388)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=4077686879:cond=on:i=34:hud=10:nm=10:rtra=on_1792 on theBenchmark for (1792ds/34Mi) 5.83/1.49 % (1069388)Instruction limit reached! 5.83/1.49 % (1069388)------------------------------ 5.83/1.49 % (1069388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.83/1.49 % (1069388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.83/1.49 % (1069388)CaDiCaL version: 2.1.3 5.83/1.49 % (1069388)Termination reason: Instruction limit 5.83/1.49 % (1069388)Termination phase: Property scanning 5.83/1.49 % (1069388)Time elapsed: 0.015 s 5.83/1.49 % (1069388)Peak memory usage: 10 MB 5.83/1.49 % (1069388)Instructions burned: 35 (million) 5.83/1.49 % (1069390)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3625339500:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_1792 on theBenchmark for (1792ds/91Mi) 5.83/1.49 % (1069373)Instruction limit reached! 5.83/1.49 % (1069373)------------------------------ 5.83/1.49 % (1069373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.83/1.49 % (1069373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.83/1.49 % (1069373)CaDiCaL version: 2.1.3 5.83/1.49 % (1069373)Termination reason: Instruction limit 5.83/1.49 % (1069373)Termination phase: Saturation 5.83/1.49 % (1069373)Time elapsed: 0.224 s 5.83/1.49 % (1069373)Peak memory usage: 18 MB 5.83/1.49 % (1069373)Instructions burned: 451 (million) 5.83/1.49 % (1069308)Instruction limit reached! 5.83/1.49 % (1069308)------------------------------ 5.83/1.49 % (1069308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.83/1.49 % (1069308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.83/1.49 % (1069308)CaDiCaL version: 2.1.3 5.83/1.49 % (1069308)Termination reason: Instruction limit 5.83/1.49 % (1069308)Termination phase: Saturation 5.83/1.49 % (1069308)Time elapsed: 0.601 s 5.83/1.49 % (1069308)Peak memory usage: 20 MB 5.83/1.49 % (1069308)Instructions burned: 1242 (million) 5.83/1.49 % (1069392)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2147138163:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_1792 on theBenchmark for (1792ds/66Mi) 5.83/1.49 % (1069390)Instruction limit reached! 5.83/1.49 % (1069390)------------------------------ 5.83/1.49 % (1069390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.83/1.49 % (1069390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.83/1.49 % (1069390)CaDiCaL version: 2.1.3 5.83/1.49 % (1069390)Termination reason: Instruction limit 5.83/1.49 % (1069390)Termination phase: Property scanning 5.83/1.49 % (1069390)Time elapsed: 0.037 s 5.83/1.49 % (1069390)Peak memory usage: 11 MB 5.83/1.49 % (1069390)Instructions burned: 92 (million) 5.83/1.49 % (1069393)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=53444804:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1791 on theBenchmark for (1791ds/22Mi) 5.83/1.49 % (1069393)Instruction limit reached! 5.83/1.49 % (1069393)------------------------------ 5.83/1.49 % (1069393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.83/1.49 % (1069393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.83/1.49 % (1069393)CaDiCaL version: 2.1.3 5.83/1.49 % (1069393)Termination reason: Instruction limit 5.83/1.49 % (1069393)Termination phase: Property scanning 5.83/1.49 % (1069393)Time elapsed: 0.010 s 5.83/1.49 % (1069393)Peak memory usage: 10 MB 5.83/1.49 % (1069393)Instructions burned: 23 (million) 5.83/1.49 % (1069395)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=3156990082:i=338:bd=all:ins=4:rtra=on_1791 on theBenchmark for (1791ds/338Mi) 5.83/1.49 % (1069383)Instruction limit reached! 5.83/1.49 % (1069383)------------------------------ 5.83/1.49 % (1069383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 5.83/1.49 % (1069383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.59/1.59 % (1069383)CaDiCaL version: 2.1.3 6.59/1.59 % (1069383)Termination reason: Instruction limit 6.59/1.59 % (1069383)Termination phase: Saturation 6.59/1.59 % (1069383)Time elapsed: 0.196 s 6.59/1.59 % (1069383)Peak memory usage: 14 MB 6.59/1.59 % (1069383)Instructions burned: 375 (million) 6.59/1.59 % (1069392)Instruction limit reached! 6.59/1.59 % (1069392)------------------------------ 6.59/1.59 % (1069392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.59/1.59 % (1069392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.59/1.59 % (1069392)CaDiCaL version: 2.1.3 6.59/1.59 % (1069392)Termination reason: Instruction limit 6.59/1.59 % (1069392)Termination phase: Saturation 6.59/1.59 % (1069392)Time elapsed: 0.032 s 6.59/1.59 % (1069392)Peak memory usage: 13 MB 6.59/1.59 % (1069392)Instructions burned: 67 (million) 6.59/1.59 % (1069397)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2033853765:i=28:sd=1:rtra=on:ss=axioms:sgt=64_1791 on theBenchmark for (1791ds/28Mi) 6.59/1.59 % (1069399)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on 6.59/1.59 % (1069399)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=4001367176:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_1791 on theBenchmark for (1791ds/137Mi) 6.59/1.59 % (1069400)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3611121655:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_1791 on theBenchmark for (1791ds/340Mi) 6.59/1.59 % (1069397)Instruction limit reached! 6.59/1.59 % (1069397)------------------------------ 6.59/1.59 % (1069397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.59/1.59 % (1069397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.59/1.59 % (1069397)CaDiCaL version: 2.1.3 6.59/1.59 % (1069397)Termination reason: Instruction limit 6.59/1.59 % (1069397)Termination phase: Property scanning 6.59/1.59 % (1069397)Time elapsed: 0.013 s 6.59/1.59 % (1069397)Peak memory usage: 10 MB 6.59/1.59 % (1069397)Instructions burned: 30 (million) 6.59/1.59 % (1069404)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3695386616:i=227:sd=1:bd=all:rtra=on:ss=axioms_1791 on theBenchmark for (1791ds/227Mi) 6.59/1.59 % (1069362)Instruction limit reached! 6.59/1.59 % (1069362)------------------------------ 6.59/1.59 % (1069362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.59/1.59 % (1069362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.59/1.59 % (1069362)CaDiCaL version: 2.1.3 6.59/1.59 % (1069362)Termination reason: Instruction limit 6.59/1.59 % (1069362)Termination phase: Saturation 6.59/1.59 % (1069362)Time elapsed: 0.436 s 6.59/1.59 % (1069362)Peak memory usage: 18 MB 6.59/1.59 % (1069362)Instructions burned: 876 (million) 6.59/1.59 % (1069404)Refutation not found, incomplete strategy 6.59/1.59 % (1069404)------------------------------ 6.59/1.59 % (1069404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.59/1.59 % (1069404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.59/1.59 % (1069404)CaDiCaL version: 2.1.3 6.59/1.59 % (1069404)Termination reason: Refutation not found, incomplete strategy 6.59/1.59 % (1069404)Time elapsed: 0.021 s 6.59/1.59 % (1069404)Peak memory usage: 12 MB 6.59/1.59 % (1069404)Instructions burned: 47 (million) 6.59/1.59 % (1069404)------------------------------ 6.59/1.59 % (1069404)------------------------------ 6.59/1.59 % (1069406)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on 6.59/1.59 % (1069406)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=777165782:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_1790 on theBenchmark for (1790ds/373Mi) 6.59/1.59 % (1069399)Instruction limit reached! 6.59/1.59 % (1069399)------------------------------ 6.59/1.59 % (1069399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 6.59/1.59 % (1069399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.59/1.59 % (1069399)CaDiCaL version: 2.1.3 6.59/1.59 % (1069399)Termination reason: Instruction limit 6.59/1.59 % (1069399)Termination phase: Saturation 6.59/1.59 % (1069399)Time elapsed: 0.056 s 7.53/1.79 % (1069399)Peak memory usage: 12 MB 7.53/1.79 % (1069399)Instructions burned: 137 (million) 7.53/1.79 % (1069407)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1072509721:i=116:ep=RSTC:rtra=on:ntd=on_1790 on theBenchmark for (1790ds/116Mi) 7.53/1.79 % (1069409)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3346935803:i=575:rtra=on_1790 on theBenchmark for (1790ds/575Mi) 7.53/1.79 % (1069386)Instruction limit reached! 7.53/1.79 % (1069386)------------------------------ 7.53/1.79 % (1069386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.53/1.79 % (1069386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.53/1.79 % (1069386)CaDiCaL version: 2.1.3 7.53/1.79 % (1069386)Termination reason: Instruction limit 7.53/1.79 % (1069386)Termination phase: Saturation 7.53/1.79 % (1069386)Time elapsed: 0.238 s 7.53/1.79 % (1069386)Peak memory usage: 17 MB 7.53/1.79 % (1069386)Instructions burned: 496 (million) 7.53/1.79 % (1069407)Instruction limit reached! 7.53/1.79 % (1069407)------------------------------ 7.53/1.79 % (1069407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.53/1.79 % (1069407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.53/1.79 % (1069407)CaDiCaL version: 2.1.3 7.53/1.79 % (1069407)Termination reason: Instruction limit 7.53/1.79 % (1069407)Termination phase: Property scanning 7.53/1.79 % (1069407)Time elapsed: 0.050 s 7.53/1.79 % (1069407)Peak memory usage: 12 MB 7.53/1.79 % (1069407)Instructions burned: 117 (million) 7.53/1.79 % (1069412)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1219994418:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_1790 on theBenchmark for (1790ds/270Mi) 7.53/1.79 % (1069395)Instruction limit reached! 7.53/1.79 % (1069395)------------------------------ 7.53/1.79 % (1069395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.53/1.79 % (1069395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.53/1.79 % (1069395)CaDiCaL version: 2.1.3 7.53/1.79 % (1069395)Termination reason: Instruction limit 7.53/1.79 % (1069395)Termination phase: Saturation 7.53/1.79 % (1069395)Time elapsed: 0.148 s 7.53/1.79 % (1069395)Peak memory usage: 15 MB 7.53/1.79 % (1069395)Instructions burned: 340 (million) 7.53/1.79 % (1069409)Refutation not found, incomplete strategy 7.53/1.79 % (1069409)------------------------------ 7.53/1.79 % (1069409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.53/1.79 % (1069409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.53/1.79 % (1069409)CaDiCaL version: 2.1.3 7.53/1.79 % (1069409)Termination reason: Refutation not found, incomplete strategy 7.53/1.79 % (1069409)Time elapsed: 0.057 s 7.53/1.79 % (1069409)Peak memory usage: 14 MB 7.53/1.79 % (1069409)Instructions burned: 131 (million) 7.53/1.79 % (1069409)------------------------------ 7.53/1.79 % (1069409)------------------------------ 7.53/1.79 % (1069413)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=215072161:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1790 on theBenchmark for (1790ds/9840Mi) 7.53/1.79 % (1069415)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=316897882:i=421:rtra=on:ss=axioms_1790 on theBenchmark for (1790ds/421Mi) 7.53/1.79 % (1069417)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 7.53/1.79 % (1069417)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=4011564261:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_1789 on theBenchmark for (1789ds/270Mi) 7.53/1.79 % (1069400)Instruction limit reached! 7.53/1.79 % (1069400)------------------------------ 7.53/1.79 % (1069400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.53/1.79 % (1069400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.53/1.79 % (1069400)CaDiCaL version: 2.1.3 7.53/1.79 % (1069400)Termination reason: Instruction limit 7.89/2.02 % (1069400)Termination phase: Saturation 7.89/2.02 % (1069400)Time elapsed: 0.155 s 7.89/2.02 % (1069400)Peak memory usage: 16 MB 7.89/2.02 % (1069400)Instructions burned: 342 (million) 7.89/2.02 % (1069420)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3966692465:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_1789 on theBenchmark for (1789ds/31Mi) 7.89/2.02 % (1069415)Refutation not found, incomplete strategy 7.89/2.02 % (1069415)------------------------------ 7.89/2.02 % (1069415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.89/2.02 % (1069415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.89/2.02 % (1069415)CaDiCaL version: 2.1.3 7.89/2.02 % (1069415)Termination reason: Refutation not found, incomplete strategy 7.89/2.02 % (1069415)Time elapsed: 0.028 s 7.89/2.02 % (1069415)Peak memory usage: 12 MB 7.89/2.02 % (1069415)Instructions burned: 65 (million) 7.89/2.02 % (1069415)------------------------------ 7.89/2.02 % (1069415)------------------------------ 7.89/2.02 % (1069420)Instruction limit reached! 7.89/2.02 % (1069420)------------------------------ 7.89/2.02 % (1069420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.89/2.02 % (1069420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.89/2.02 % (1069420)CaDiCaL version: 2.1.3 7.89/2.02 % (1069420)Termination reason: Instruction limit 7.89/2.02 % (1069420)Termination phase: Property scanning 7.89/2.02 % (1069420)Time elapsed: 0.014 s 7.89/2.02 % (1069420)Peak memory usage: 10 MB 7.89/2.02 % (1069420)Instructions burned: 32 (million) 7.89/2.02 % (1069422)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on 7.89/2.02 % (1069422)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 7.89/2.02 % (1069422)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=4081221671:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_1789 on theBenchmark for (1789ds/1440Mi) 7.89/2.02 % (1069423)dis+10_2_sil=128000:si=on:random_seed=22553966:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_1789 on theBenchmark for (1789ds/339Mi) 7.89/2.02 % (1069406)Instruction limit reached! 7.89/2.02 % (1069406)------------------------------ 7.89/2.02 % (1069406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.89/2.02 % (1069406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.89/2.02 % (1069406)CaDiCaL version: 2.1.3 7.89/2.02 % (1069406)Termination reason: Instruction limit 7.89/2.02 % (1069406)Termination phase: Saturation 7.89/2.02 % (1069406)Time elapsed: 0.166 s 7.89/2.02 % (1069406)Peak memory usage: 14 MB 7.89/2.02 % (1069406)Instructions burned: 375 (million) 7.89/2.02 % (1069412)Instruction limit reached! 7.89/2.02 % (1069412)------------------------------ 7.89/2.02 % (1069412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.89/2.02 % (1069412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.89/2.02 % (1069412)CaDiCaL version: 2.1.3 7.89/2.02 % (1069412)Termination reason: Instruction limit 7.89/2.02 % (1069412)Termination phase: Saturation 7.89/2.02 % (1069412)Time elapsed: 0.106 s 7.89/2.02 % (1069412)Peak memory usage: 13 MB 7.89/2.02 % (1069412)Instructions burned: 270 (million) 7.89/2.02 % (1069426)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3870750559:i=111:add=on:fgj=on:rtra=on:fdi=1024_1789 on theBenchmark for (1789ds/111Mi) 7.89/2.02 % (1069427)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=598794420:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_1789 on theBenchmark for (1789ds/122Mi) 7.89/2.02 % (1069417)Refutation not found, incomplete strategy 7.89/2.02 % (1069417)------------------------------ 7.89/2.02 % (1069417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 7.89/2.02 % (1069417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.89/2.02 % (1069417)CaDiCaL version: 2.1.3 7.89/2.02 % (1069417)Termination reason: Refutation not found, incomplete strategy 7.89/2.02 % (1069417)Time elapsed: 0.104 s 11.93/2.23 % (1069417)Peak memory usage: 13 MB 11.93/2.23 % (1069417)Instructions burned: 217 (million) 11.93/2.23 % (1069417)------------------------------ 11.93/2.23 % (1069417)------------------------------ 11.93/2.23 % (1069430)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=1063032640:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_1788 on theBenchmark for (1788ds/136Mi) 11.93/2.23 % (1069426)Instruction limit reached! 11.93/2.23 % (1069426)------------------------------ 11.93/2.23 % (1069426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.93/2.23 % (1069426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.93/2.23 % (1069426)CaDiCaL version: 2.1.3 11.93/2.23 % (1069426)Termination reason: Instruction limit 11.93/2.23 % (1069426)Termination phase: Saturation 11.93/2.23 % (1069426)Time elapsed: 0.047 s 11.93/2.23 % (1069426)Peak memory usage: 12 MB 11.93/2.23 % (1069426)Instructions burned: 113 (million) 11.93/2.23 % (1069427)Instruction limit reached! 11.93/2.23 % (1069427)------------------------------ 11.93/2.23 % (1069427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.93/2.23 % (1069427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.93/2.23 % (1069427)CaDiCaL version: 2.1.3 11.93/2.23 % (1069427)Termination reason: Instruction limit 11.93/2.23 % (1069427)Termination phase: Saturation 11.93/2.23 % (1069427)Time elapsed: 0.058 s 11.93/2.23 % (1069427)Peak memory usage: 13 MB 11.93/2.23 % (1069427)Instructions burned: 122 (million) 11.93/2.23 % (1069432)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2234174778:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1788 on theBenchmark for (1788ds/232Mi) 11.93/2.23 % (1069433)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=235482206:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_1788 on theBenchmark for (1788ds/1254Mi) 11.93/2.23 % (1069430)Refutation not found, incomplete strategy 11.93/2.23 % (1069430)------------------------------ 11.93/2.23 % (1069430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.93/2.23 % (1069430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.93/2.23 % (1069430)CaDiCaL version: 2.1.3 11.93/2.23 % (1069430)Termination reason: Refutation not found, incomplete strategy 11.93/2.23 % (1069430)Time elapsed: 0.054 s 11.93/2.23 % (1069430)Peak memory usage: 13 MB 11.93/2.23 % (1069430)Instructions burned: 127 (million) 11.93/2.23 % (1069430)------------------------------ 11.93/2.23 % (1069430)------------------------------ 11.93/2.23 % (1069436)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 11.93/2.23 % (1069436)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=1109108074:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_1787 on theBenchmark for (1787ds/281Mi) 11.93/2.23 % (1069423)Instruction limit reached! 11.93/2.23 % (1069423)------------------------------ 11.93/2.23 % (1069423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.93/2.23 % (1069423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.93/2.23 % (1069423)CaDiCaL version: 2.1.3 11.93/2.23 % (1069423)Termination reason: Instruction limit 11.93/2.23 % (1069423)Termination phase: Saturation 11.93/2.23 % (1069423)Time elapsed: 0.151 s 11.93/2.23 % (1069423)Peak memory usage: 14 MB 11.93/2.23 % (1069423)Instructions burned: 340 (million) 11.93/2.23 % (1069438)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2441405663:i=619:add=on:rtra=on_1787 on theBenchmark for (1787ds/619Mi) 11.93/2.23 % (1069432)Instruction limit reached! 11.93/2.23 % (1069432)------------------------------ 11.93/2.23 % (1069432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 11.93/2.23 % (1069432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.93/2.23 % (1069432)CaDiCaL version: 2.1.3 11.93/2.23 % (1069432)Termination reason: Instruction limit 11.93/2.23 % (1069432)Termination phase: Saturation 11.93/2.23 % (1069432)Time elapsed: 0.126 s 11.93/2.23 % (1069432)Peak memory usage: 15 MB 11.93/2.23 % (1069432)Instructions burned: 233 (million) 11.93/2.23 % (1069440)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=1895680068:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_1786 on theBenchmark for (1786ds/865Mi) 12.71/2.39 % (1069436)Instruction limit reached! 12.71/2.39 % (1069436)------------------------------ 12.71/2.39 % (1069436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.71/2.39 % (1069436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.71/2.39 % (1069436)CaDiCaL version: 2.1.3 12.71/2.39 % (1069436)Termination reason: Instruction limit 12.71/2.39 % (1069436)Termination phase: Saturation 12.71/2.39 % (1069436)Time elapsed: 0.145 s 12.71/2.39 % (1069436)Peak memory usage: 14 MB 12.71/2.39 % (1069436)Instructions burned: 283 (million) 12.71/2.39 % (1069442)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2835351198:i=212:sd=1:rtra=on:ss=axioms:sgt=64_1786 on theBenchmark for (1786ds/212Mi) 12.71/2.39 % (1069442)Refutation not found, incomplete strategy 12.71/2.39 % (1069442)------------------------------ 12.71/2.39 % (1069442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.71/2.39 % (1069442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.71/2.39 % (1069442)CaDiCaL version: 2.1.3 12.71/2.39 % (1069442)Termination reason: Refutation not found, incomplete strategy 12.71/2.39 % (1069442)Time elapsed: 0.022 s 12.71/2.39 % (1069442)Peak memory usage: 13 MB 12.71/2.39 % (1069442)Instructions burned: 48 (million) 12.71/2.39 % (1069442)------------------------------ 12.71/2.39 % (1069442)------------------------------ 12.71/2.39 % (1069444)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3704079253:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_1785 on theBenchmark for (1785ds/130Mi) 12.71/2.39 % (1069440)Refutation not found, incomplete strategy 12.71/2.39 % (1069440)------------------------------ 12.71/2.39 % (1069440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.71/2.39 % (1069440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.71/2.39 % (1069440)CaDiCaL version: 2.1.3 12.71/2.39 % (1069440)Termination reason: Refutation not found, incomplete strategy 12.71/2.39 % (1069440)Time elapsed: 0.112 s 12.71/2.39 % (1069440)Peak memory usage: 14 MB 12.71/2.39 % (1069440)Instructions burned: 237 (million) 12.71/2.39 % (1069440)------------------------------ 12.71/2.39 % (1069440)------------------------------ 12.71/2.39 % (1069444)Refutation not found, incomplete strategy 12.71/2.39 % (1069444)------------------------------ 12.71/2.39 % (1069444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.71/2.39 % (1069444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.71/2.39 % (1069444)CaDiCaL version: 2.1.3 12.71/2.39 % (1069444)Termination reason: Refutation not found, incomplete strategy 12.71/2.39 % (1069444)Time elapsed: 0.023 s 12.71/2.39 % (1069444)Peak memory usage: 12 MB 12.71/2.39 % (1069444)Instructions burned: 51 (million) 12.71/2.39 % (1069444)------------------------------ 12.71/2.39 % (1069444)------------------------------ 12.71/2.39 % (1069446)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=211840687:st=1.5:i=346:rtra=on:ss=axioms_1785 on theBenchmark for (1785ds/346Mi) 12.71/2.39 % (1069447)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=479151598:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_1785 on theBenchmark for (1785ds/152Mi) 12.71/2.39 % (1069447)Instruction limit reached! 12.71/2.39 % (1069447)------------------------------ 12.71/2.39 % (1069447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.71/2.39 % (1069447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.71/2.39 % (1069447)CaDiCaL version: 2.1.3 12.71/2.39 % (1069447)Termination reason: Instruction limit 12.71/2.39 % (1069447)Termination phase: Saturation 12.71/2.39 % (1069447)Time elapsed: 0.075 s 12.71/2.39 % (1069447)Peak memory usage: 13 MB 12.71/2.39 % (1069447)Instructions burned: 154 (million) 12.71/2.39 % (1069438)Instruction limit reached! 12.71/2.39 % (1069438)------------------------------ 12.71/2.39 % (1069438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 12.71/2.39 % (1069438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.71/2.39 % (1069438)CaDiCaL version: 2.1.3 12.71/2.39 % (1069438)Termination reason: Instruction limit 12.71/2.39 % (1069438)Termination phase: Saturation 12.71/2.39 % (1069438)Time elapsed: 0.309 s 13.73/2.61 % (1069438)Peak memory usage: 15 MB 13.73/2.61 % (1069438)Instructions burned: 620 (million) 13.73/2.61 % (1069451)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1567217824:st=2.5:i=387:sd=2:rtra=on:ss=axioms_1784 on theBenchmark for (1784ds/387Mi) 13.73/2.61 % (1069450)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=642238649:i=75:ep=R:rtra=on:ntd=on_1784 on theBenchmark for (1784ds/75Mi) 13.73/2.61 % (1069450)Instruction limit reached! 13.73/2.61 % (1069450)------------------------------ 13.73/2.61 % (1069450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.73/2.61 % (1069450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.73/2.61 % (1069450)CaDiCaL version: 2.1.3 13.73/2.61 % (1069450)Termination reason: Instruction limit 13.73/2.61 % (1069450)Termination phase: Property scanning 13.73/2.61 % (1069450)Time elapsed: 0.031 s 13.73/2.61 % (1069450)Peak memory usage: 11 MB 13.73/2.61 % (1069450)Instructions burned: 78 (million) 13.73/2.61 % (1069454)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=1349556330:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_1783 on theBenchmark for (1783ds/148Mi) 13.73/2.61 % (1069446)Instruction limit reached! 13.73/2.61 % (1069446)------------------------------ 13.73/2.61 % (1069446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.73/2.61 % (1069446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.73/2.61 % (1069446)CaDiCaL version: 2.1.3 13.73/2.61 % (1069446)Termination reason: Instruction limit 13.73/2.61 % (1069446)Termination phase: Saturation 13.73/2.61 % (1069446)Time elapsed: 0.186 s 13.73/2.61 % (1069446)Peak memory usage: 15 MB 13.73/2.61 % (1069446)Instructions burned: 348 (million) 13.73/2.61 % (1069456)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3806588519:i=161:piset=and:rtra=on:ntd=on_1783 on theBenchmark for (1783ds/161Mi) 13.73/2.61 % (1069454)Instruction limit reached! 13.73/2.61 % (1069454)------------------------------ 13.73/2.61 % (1069454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.73/2.61 % (1069454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.73/2.61 % (1069454)CaDiCaL version: 2.1.3 13.73/2.61 % (1069454)Termination reason: Instruction limit 13.73/2.61 % (1069454)Termination phase: Saturation 13.73/2.61 % (1069454)Time elapsed: 0.070 s 13.73/2.61 % (1069454)Peak memory usage: 13 MB 13.73/2.61 % (1069454)Instructions burned: 148 (million) 13.73/2.61 % (1069458)lrs+10_1_sil=128000:si=on:random_seed=2877377939:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_1782 on theBenchmark for (1782ds/888Mi) 13.73/2.61 % (1069456)Instruction limit reached! 13.73/2.61 % (1069456)------------------------------ 13.73/2.61 % (1069456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.73/2.61 % (1069456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.73/2.61 % (1069456)CaDiCaL version: 2.1.3 13.73/2.61 % (1069456)Termination reason: Instruction limit 13.73/2.61 % (1069456)Termination phase: Saturation 13.73/2.61 % (1069456)Time elapsed: 0.070 s 13.73/2.61 % (1069456)Peak memory usage: 13 MB 13.73/2.61 % (1069456)Instructions burned: 161 (million) 13.73/2.61 % (1069433)Instruction limit reached! 13.73/2.61 % (1069433)------------------------------ 13.73/2.61 % (1069433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.73/2.61 % (1069433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.73/2.61 % (1069433)CaDiCaL version: 2.1.3 13.73/2.61 % (1069433)Termination reason: Instruction limit 13.73/2.61 % (1069433)Termination phase: Saturation 13.73/2.61 % (1069433)Time elapsed: 0.552 s 13.73/2.61 % (1069433)Peak memory usage: 19 MB 13.73/2.61 % (1069433)Instructions burned: 1256 (million) 13.73/2.61 % (1069460)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=3133011992:i=136:add=on:ins=4:rtra=on:sup=off_1782 on theBenchmark for (1782ds/136Mi) 13.73/2.61 % (1069422)Instruction limit reached! 13.73/2.61 % (1069422)------------------------------ 13.73/2.61 % (1069422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 13.73/2.61 % (1069422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.88/2.74 % (1069422)CaDiCaL version: 2.1.3 14.88/2.74 % (1069422)Termination reason: Instruction limit 14.88/2.74 % (1069422)Termination phase: Saturation 14.88/2.74 % (1069461)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=2894451761:i=88:s2at=3:nm=2:rtra=on:rawr=on_1782 on theBenchmark for (1782ds/88Mi) 14.88/2.74 % (1069422)Time elapsed: 0.698 s 14.88/2.74 % (1069422)Peak memory usage: 23 MB 14.88/2.74 % (1069422)Instructions burned: 1440 (million) 14.88/2.74 % (1069451)Instruction limit reached! 14.88/2.74 % (1069451)------------------------------ 14.88/2.74 % (1069451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.88/2.74 % (1069451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.88/2.74 % (1069451)CaDiCaL version: 2.1.3 14.88/2.74 % (1069451)Termination reason: Instruction limit 14.88/2.74 % (1069451)Termination phase: Saturation 14.88/2.74 % (1069451)Time elapsed: 0.193 s 14.88/2.74 % (1069451)Peak memory usage: 15 MB 14.88/2.74 % (1069451)Instructions burned: 388 (million) 14.88/2.74 % (1069464)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=755205440:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_1782 on theBenchmark for (1782ds/93Mi) 14.88/2.74 % (1069465)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1081493586:i=2186:rtra=on:ixr=off_1782 on theBenchmark for (1782ds/2186Mi) 14.88/2.74 % (1069461)Instruction limit reached! 14.88/2.74 % (1069461)------------------------------ 14.88/2.74 % (1069461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.88/2.74 % (1069461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.88/2.74 % (1069461)CaDiCaL version: 2.1.3 14.88/2.74 % (1069461)Termination reason: Instruction limit 14.88/2.74 % (1069461)Termination phase: Property scanning 14.88/2.74 % (1069461)Time elapsed: 0.037 s 14.88/2.74 % (1069461)Peak memory usage: 11 MB 14.88/2.74 % (1069461)Instructions burned: 90 (million) 14.88/2.74 % (1069460)Instruction limit reached! 14.88/2.74 % (1069460)------------------------------ 14.88/2.74 % (1069460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.88/2.74 % (1069460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.88/2.74 % (1069460)CaDiCaL version: 2.1.3 14.88/2.74 % (1069460)Termination reason: Instruction limit 14.88/2.74 % (1069460)Termination phase: Saturation 14.88/2.74 % (1069460)Time elapsed: 0.057 s 14.88/2.74 % (1069460)Peak memory usage: 13 MB 14.88/2.74 % (1069460)Instructions burned: 136 (million) 14.88/2.74 % (1069468)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2234974656:s2a=on:i=240:rtra=on:ntd=on_1781 on theBenchmark for (1781ds/240Mi) 14.88/2.74 % (1069464)Instruction limit reached! 14.88/2.74 % (1069464)------------------------------ 14.88/2.74 % (1069464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.88/2.74 % (1069464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.88/2.74 % (1069464)CaDiCaL version: 2.1.3 14.88/2.74 % (1069464)Termination reason: Instruction limit 14.88/2.74 % (1069464)Termination phase: Saturation 14.88/2.74 % (1069464)Time elapsed: 0.038 s 14.88/2.74 % (1069464)Peak memory usage: 12 MB 14.88/2.74 % (1069464)Instructions burned: 94 (million) 14.88/2.74 % (1069469)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2281796325:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_1781 on theBenchmark for (1781ds/805Mi) 14.88/2.74 % (1069471)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on 14.88/2.74 % (1069471)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=456061207:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_1781 on theBenchmark for (1781ds/391Mi) 14.88/2.74 % (1069468)Instruction limit reached! 14.88/2.74 % (1069468)------------------------------ 14.88/2.74 % (1069468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 14.88/2.74 % (1069468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 14.88/2.74 % (1069468)CaDiCaL version: 2.1.3 14.88/2.74 % (1069468)Termination reason: Instruction limit 15.77/2.91 % (1069468)Termination phase: Saturation 15.77/2.91 % (1069468)Time elapsed: 0.106 s 15.77/2.91 % (1069468)Peak memory usage: 15 MB 15.77/2.91 % (1069468)Instructions burned: 240 (million) 15.77/2.91 % (1069474)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1575692500:i=355:av=off:fsr=off:rtra=on:ixr=off_1780 on theBenchmark for (1780ds/355Mi) 15.77/2.91 % (1069382)Instruction limit reached! 15.77/2.91 % (1069382)------------------------------ 15.77/2.91 % (1069382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.77/2.91 % (1069382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.77/2.91 % (1069382)CaDiCaL version: 2.1.3 15.77/2.91 % (1069382)Termination reason: Instruction limit 15.77/2.91 % (1069382)Termination phase: Saturation 15.77/2.91 % (1069382)Time elapsed: 1.362 s 15.77/2.91 % (1069382)Peak memory usage: 44 MB 15.77/2.91 % (1069382)Instructions burned: 5756 (million) 15.77/2.91 % (1069476)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3324857089:lrd=on:i=314:sd=1:rtra=on:ss=axioms_1779 on theBenchmark for (1779ds/314Mi) 15.77/2.91 % (1069471)Instruction limit reached! 15.77/2.91 % (1069471)------------------------------ 15.77/2.91 % (1069471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.77/2.91 % (1069471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.77/2.91 % (1069471)CaDiCaL version: 2.1.3 15.77/2.91 % (1069471)Termination reason: Instruction limit 15.77/2.91 % (1069471)Termination phase: Saturation 15.77/2.91 % (1069471)Time elapsed: 0.178 s 15.77/2.91 % (1069471)Peak memory usage: 15 MB 15.77/2.91 % (1069471)Instructions burned: 392 (million) 15.77/2.91 % (1069476)Refutation not found, incomplete strategy 15.77/2.91 % (1069476)------------------------------ 15.77/2.91 % (1069476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.77/2.91 % (1069476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.77/2.91 % (1069476)CaDiCaL version: 2.1.3 15.77/2.91 % (1069476)Termination reason: Refutation not found, incomplete strategy 15.77/2.91 % (1069476)Time elapsed: 0.012 s 15.77/2.91 % (1069476)Peak memory usage: 12 MB 15.77/2.91 % (1069476)Instructions burned: 54 (million) 15.77/2.91 % (1069476)------------------------------ 15.77/2.91 % (1069476)------------------------------ 15.77/2.91 % (1069479)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=1103519573:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_1779 on theBenchmark for (1779ds/2470Mi) 15.77/2.91 % (1069478)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=391814313:s2a=on:i=251:fsr=off:rtra=on_1779 on theBenchmark for (1779ds/251Mi) 15.77/2.91 % (1069474)Instruction limit reached! 15.77/2.91 % (1069474)------------------------------ 15.77/2.91 % (1069474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.77/2.91 % (1069474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.77/2.91 % (1069474)CaDiCaL version: 2.1.3 15.77/2.91 % (1069474)Termination reason: Instruction limit 15.77/2.91 % (1069474)Termination phase: Saturation 15.77/2.91 % (1069474)Time elapsed: 0.156 s 15.77/2.91 % (1069474)Peak memory usage: 15 MB 15.77/2.91 % (1069474)Instructions burned: 357 (million) 15.77/2.91 % (1069482)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3934740305:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_1778 on theBenchmark for (1778ds/673Mi) 15.77/2.91 % (1069458)Instruction limit reached! 15.77/2.91 % (1069458)------------------------------ 15.77/2.91 % (1069458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.77/2.91 % (1069458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.77/2.91 % (1069458)CaDiCaL version: 2.1.3 15.77/2.91 % (1069458)Termination reason: Instruction limit 15.77/2.91 % (1069458)Termination phase: Saturation 15.77/2.91 % (1069458)Time elapsed: 0.422 s 15.77/2.91 % (1069458)Peak memory usage: 20 MB 15.77/2.91 % (1069458)Instructions burned: 888 (million) 15.77/2.91 % (1069478)Instruction limit reached! 15.77/2.91 % (1069478)------------------------------ 15.77/2.91 % (1069478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 15.77/2.91 % (1069478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069478)CaDiCaL version: 2.1.3 18.23/3.10 % (1069478)Termination reason: Instruction limit 18.23/3.10 % (1069478)Termination phase: Saturation 18.23/3.10 % (1069478)Time elapsed: 0.108 s 18.23/3.10 % (1069478)Peak memory usage: 14 MB 18.23/3.10 % (1069478)Instructions burned: 251 (million) 18.23/3.10 % (1069484)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1261801345:i=116:ep=RSTC:rtra=on:ntd=on_1778 on theBenchmark for (1778ds/116Mi) 18.23/3.10 % (1069485)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2596158372:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_1778 on theBenchmark for (1778ds/270Mi) 18.23/3.10 % (1069484)Instruction limit reached! 18.23/3.10 % (1069484)------------------------------ 18.23/3.10 % (1069484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069484)CaDiCaL version: 2.1.3 18.23/3.10 % (1069484)Termination reason: Instruction limit 18.23/3.10 % (1069484)Termination phase: Property scanning 18.23/3.10 % (1069484)Time elapsed: 0.050 s 18.23/3.10 % (1069484)Peak memory usage: 12 MB 18.23/3.10 % (1069484)Instructions burned: 117 (million) 18.23/3.10 % (1069469)Instruction limit reached! 18.23/3.10 % (1069469)------------------------------ 18.23/3.10 % (1069469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069469)CaDiCaL version: 2.1.3 18.23/3.10 % (1069469)Termination reason: Instruction limit 18.23/3.10 % (1069469)Termination phase: Saturation 18.23/3.10 % (1069469)Time elapsed: 0.388 s 18.23/3.10 % (1069469)Peak memory usage: 19 MB 18.23/3.10 % (1069469)Instructions burned: 805 (million) 18.23/3.10 % (1069488)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=1480774747:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_1777 on theBenchmark for (1777ds/30Mi) 18.23/3.10 % (1069489)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off 18.23/3.10 % (1069489)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1038442641:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_1777 on theBenchmark for (1777ds/39Mi) 18.23/3.10 % (1069488)Instruction limit reached! 18.23/3.10 % (1069488)------------------------------ 18.23/3.10 % (1069488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069488)CaDiCaL version: 2.1.3 18.23/3.10 % (1069488)Termination reason: Instruction limit 18.23/3.10 % (1069488)Termination phase: SInE selection 18.23/3.10 % (1069488)Time elapsed: 0.014 s 18.23/3.10 % (1069488)Peak memory usage: 10 MB 18.23/3.10 % (1069488)Instructions burned: 31 (million) 18.23/3.10 % (1069492)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2169820892:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1777 on theBenchmark for (1777ds/365Mi) 18.23/3.10 % (1069485)Instruction limit reached! 18.23/3.10 % (1069485)------------------------------ 18.23/3.10 % (1069485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069485)CaDiCaL version: 2.1.3 18.23/3.10 % (1069485)Termination reason: Instruction limit 18.23/3.10 % (1069485)Termination phase: Saturation 18.23/3.10 % (1069485)Time elapsed: 0.106 s 18.23/3.10 % (1069485)Peak memory usage: 13 MB 18.23/3.10 % (1069485)Instructions burned: 271 (million) 18.23/3.10 % (1069489)Instruction limit reached! 18.23/3.10 % (1069489)------------------------------ 18.23/3.10 % (1069489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069489)CaDiCaL version: 2.1.3 18.23/3.10 % (1069489)Termination reason: Instruction limit 18.23/3.10 % (1069489)Termination phase: Property scanning 18.23/3.10 % (1069489)Time elapsed: 0.032 s 18.23/3.10 % (1069489)Peak memory usage: 10 MB 18.23/3.10 % (1069489)Instructions burned: 39 (million) 18.23/3.10 % (1069494)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3775717561:i=158:av=off:rtra=on_1777 on theBenchmark for (1777ds/158Mi) 18.23/3.10 % (1069495)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 18.23/3.10 % (1069495)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1439821808:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_1777 on theBenchmark for (1777ds/252Mi) 18.23/3.10 % (1069494)Instruction limit reached! 18.23/3.10 % (1069494)------------------------------ 18.23/3.10 % (1069494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069494)CaDiCaL version: 2.1.3 18.23/3.10 % (1069494)Termination reason: Instruction limit 18.23/3.10 % (1069494)Termination phase: Saturation 18.23/3.10 % (1069494)Time elapsed: 0.068 s 18.23/3.10 % (1069494)Peak memory usage: 14 MB 18.23/3.10 % (1069494)Instructions burned: 160 (million) 18.23/3.10 % (1069498)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=4133554489:i=213:rtra=on:ss=axioms_1776 on theBenchmark for (1776ds/213Mi) 18.23/3.10 % (1069495)Refutation not found, incomplete strategy 18.23/3.10 % (1069495)------------------------------ 18.23/3.10 % (1069495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069495)CaDiCaL version: 2.1.3 18.23/3.10 % (1069495)Termination reason: Refutation not found, incomplete strategy 18.23/3.10 % (1069495)Time elapsed: 0.103 s 18.23/3.10 % (1069495)Peak memory usage: 13 MB 18.23/3.10 % (1069495)Instructions burned: 216 (million) 18.23/3.10 % (1069495)------------------------------ 18.23/3.10 % (1069495)------------------------------ 18.23/3.10 % (1069498)Refutation not found, incomplete strategy 18.23/3.10 % (1069498)------------------------------ 18.23/3.10 % (1069498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069498)CaDiCaL version: 2.1.3 18.23/3.10 % (1069498)Termination reason: Refutation not found, incomplete strategy 18.23/3.10 % (1069498)Time elapsed: 0.029 s 18.23/3.10 % (1069498)Peak memory usage: 13 MB 18.23/3.10 % (1069498)Instructions burned: 65 (million) 18.23/3.10 % (1069498)------------------------------ 18.23/3.10 % (1069498)------------------------------ 18.23/3.10 % (1069500)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=1904825503:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_1775 on theBenchmark for (1775ds/160Mi) 18.23/3.10 % (1069492)Instruction limit reached! 18.23/3.10 % (1069492)------------------------------ 18.23/3.10 % (1069492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069492)CaDiCaL version: 2.1.3 18.23/3.10 % (1069492)Termination reason: Instruction limit 18.23/3.10 % (1069492)Termination phase: Saturation 18.23/3.10 % (1069492)Time elapsed: 0.159 s 18.23/3.10 % (1069492)Peak memory usage: 17 MB 18.23/3.10 % (1069492)Instructions burned: 367 (million) 18.23/3.10 % (1069501)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3811295322:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_1775 on theBenchmark for (1775ds/763Mi) 18.23/3.10 % (1069482)Instruction limit reached! 18.23/3.10 % (1069482)------------------------------ 18.23/3.10 % (1069482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069482)CaDiCaL version: 2.1.3 18.23/3.10 % (1069482)Termination reason: Instruction limit 18.23/3.10 % (1069482)Termination phase: Saturation 18.23/3.10 % (1069482)Time elapsed: 0.310 s 18.23/3.10 % (1069482)Peak memory usage: 18 MB 18.23/3.10 % (1069482)Instructions burned: 675 (million) 18.23/3.10 % (1069503)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on 18.23/3.10 % (1069503)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2137453609:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_1775 on theBenchmark for (1775ds/237Mi) 18.23/3.10 % (1069505)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3110376750:s2a=on:i=386:rtra=on:ntd=on_1775 on theBenchmark for (1775ds/386Mi) 18.23/3.10 % (1069500)Refutation not found, incomplete strategy 18.23/3.10 % (1069500)------------------------------ 18.23/3.10 % (1069500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069500)CaDiCaL version: 2.1.3 18.23/3.10 % (1069500)Termination reason: Refutation not found, incomplete strategy 18.23/3.10 % (1069500)Time elapsed: 0.060 s 18.23/3.10 % (1069500)Peak memory usage: 14 MB 18.23/3.10 % (1069500)Instructions burned: 129 (million) 18.23/3.10 % (1069500)------------------------------ 18.23/3.10 % (1069500)------------------------------ 18.23/3.10 % (1069508)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2052571547:i=300:piset=and:nm=32:rtra=on_1775 on theBenchmark for (1775ds/300Mi) 18.23/3.10 % (1069503)Instruction limit reached! 18.23/3.10 % (1069503)------------------------------ 18.23/3.10 % (1069503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.10 % (1069503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.10 % (1069503)CaDiCaL version: 2.1.3 18.23/3.10 % (1069503)Termination reason: Instruction limit 18.23/3.10 % (1069503)Termination phase: Saturation 18.23/3.10 % (1069503)Time elapsed: 0.111 s 18.23/3.10 % (1069503)Peak memory usage: 14 MB 18.23/3.10 % (1069503)Instructions burned: 238 (million) 18.23/3.10 % (1069510)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1905807881:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_1774 on theBenchmark for (1774ds/567Mi) 18.23/3.10 % (1069505) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1069243-1069505"... 18.23/3.10 % (1069505)...printing done. 18.23/3.10 % (1069505)Refutation found. Thanks to Tanya! 18.23/3.10 % SZS status Theorem for theBenchmark 18.23/3.10 % SZS output start Proof for theBenchmark 18.23/3.10 thf(type_def_5, type, term: $tType). 18.23/3.10 thf(type_def_6, type, subst: $tType). 18.23/3.10 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType). 18.23/3.10 thf(func_def_0, type, one: term). 18.23/3.10 thf(func_def_1, type, ap: (term > term > term)). 18.23/3.10 thf(func_def_2, type, lam: (term > term)). 18.23/3.10 thf(func_def_3, type, sub: (term > subst > term)). 18.23/3.10 thf(func_def_4, type, id: subst). 18.23/3.10 thf(func_def_5, type, sh: subst). 18.23/3.10 thf(func_def_6, type, push: (term > subst > subst)). 18.23/3.10 thf(func_def_7, type, comp: (subst > subst > subst)). 18.23/3.10 thf(func_def_8, type, var: (term > $o)). 18.23/3.10 thf(func_def_9, type, pushprop_lem1v2: $o). 18.23/3.10 thf(func_def_10, type, pushprop_lem1_gthm: $o). 18.23/3.10 thf(func_def_11, type, axmap: $o). 18.23/3.10 thf(func_def_12, type, pushprop_lem0_gthm: $o). 18.23/3.10 thf(func_def_13, type, shinj: $o). 18.23/3.10 thf(func_def_14, type, hoasinduction_lem1v2: $o). 18.23/3.10 thf(func_def_15, type, hoasinduction_lem1v2_gthm: $o). 18.23/3.10 thf(func_def_16, type, hoasap: (subst > term > subst > term > term)). 18.23/3.10 thf(func_def_17, type, induction2lem: $o). 18.23/3.10 thf(func_def_18, type, hoasinduction_lem3v2_f: $o). 18.23/3.10 thf(func_def_19, type, axvarshift: $o). 18.23/3.10 thf(func_def_20, type, hoasapinj2: $o). 18.23/3.10 thf(func_def_21, type, hoasapnotvar_gthm: $o). 18.23/3.10 thf(func_def_22, type, hoasapinj1: $o). 18.23/3.10 thf(func_def_23, type, ulamvar1: $o). 18.23/3.10 thf(func_def_24, type, induction2lem_lthm: $o). 18.23/3.10 thf(func_def_25, type, hoasinduction_lem3v2_gthm: $o). 18.23/3.10 thf(func_def_26, type, apnotvar: $o). 18.23/3.10 thf(func_def_27, type, pushprop_lthm_orig: $o). 18.23/3.10 thf(func_def_28, type, hoasinduction_lem3v2_f_lthm: $o). 18.23/3.10 thf(func_def_29, type, hoasinduction_lthm: $o). 18.23/3.10 thf(func_def_30, type, hoasinduction_no_psi_cond_lthm: $o). 18.23/3.10 thf(func_def_31, type, hoaslaminj: $o). 18.23/3.10 thf(func_def_32, type, hoasinduction_lem3aaa: $o). 18.23/3.10 thf(func_def_33, type, induction2lem_gthm: $o). 18.23/3.10 thf(func_def_34, type, hoasinduction_lem3aa_lthm: $o). 18.23/3.10 thf(func_def_35, type, hoasinduction_lem3: $o). 18.23/3.10 thf(func_def_36, type, hoasinduction_lem2: $o). 18.23/3.10 thf(func_def_37, type, termmset_lthm: $o). 18.23/3.10 thf(func_def_38, type, hoasinduction_lem1: $o). 18.23/3.10 thf(func_def_39, type, hoaslamnotap_lthm: $o). 18.23/3.10 thf(func_def_40, type, pushprop_lem1v2_lthm: $o). 18.23/3.10 thf(func_def_41, type, hoasapnotvar: $o). 18.23/3.10 thf(func_def_42, type, hoasinduction_lem0: $o). 18.23/3.10 thf(func_def_43, type, hoasinduction: $o). 18.23/3.10 thf(func_def_44, type, hoasinduction_gthm: $o). 18.23/3.10 thf(func_def_45, type, axapp: $o). 18.23/3.10 thf(func_def_46, type, hoaslamnotvar_lthm: $o). 18.23/3.10 thf(func_def_47, type, pushprop_lem3v2_lthm: $o). 18.23/3.10 thf(func_def_48, type, hoasinduction_lem3b_lthm: $o). 18.23/3.10 thf(func_def_49, type, ulamvarind: $o). 18.23/3.10 thf(func_def_50, type, induction: $o). 18.23/3.10 thf(func_def_51, type, hoasinduction_lem3a_lthm: $o). 18.23/3.10 thf(func_def_52, type, termmset_gthm: $o). 18.23/3.10 thf(func_def_53, type, hoasinduction_lem3aa: $o). 18.23/3.10 thf(func_def_54, type, pushprop_lem1v2_gthm: $o). 18.23/3.10 thf(func_def_55, type, hoaslamnotap_gthm: $o). 18.23/3.10 thf(func_def_56, type, hoaslamnotvar_gthm: $o). 18.23/3.10 thf(func_def_57, type, hoasinduction_lem3b_gthm: $o). 18.23/3.10 thf(func_def_58, type, pushprop_lem2v2: $o). 18.23/3.10 thf(func_def_59, type, hoasinduction_lem3a_gthm: $o). 18.23/3.10 thf(func_def_60, type, axclos: $o). 18.23/3.10 thf(func_def_61, type, axassoc: $o). 18.23/3.10 thf(func_def_62, type, hoasinduction_lem2v2: $o). 18.23/3.10 thf(func_def_63, type, pushprop_lthm: $o). 18.23/3.10 thf(func_def_64, type, apinj2: $o). 18.23/3.10 thf(func_def_65, type, apinj1: $o). 18.23/3.10 thf(func_def_66, type, hoasapinj2_lthm: $o). 18.23/3.10 thf(func_def_67, type, hoasinduction_lem3v2a: $o). 18.23/3.10 thf(func_def_68, type, hoasapinj1_lthm: $o). 18.23/3.10 thf(func_def_69, type, hoaslaminj_lthm: $o). 18.23/3.10 thf(func_def_70, type, axvarcons: $o). 18.23/3.10 thf(func_def_71, type, hoaslam: (subst > (subst > term > term) > term)). 18.23/3.10 thf(func_def_72, type, axscons: $o). 18.23/3.10 thf(func_def_73, type, hoasinduction_lem2v2_gthm: $o). 18.23/3.10 thf(func_def_74, type, axidr: $o). 18.23/3.10 thf(func_def_75, type, pushprop_lem1: $o). 18.23/3.10 thf(func_def_76, type, laminj: $o). 18.23/3.10 thf(func_def_77, type, hoasinduction_lem3_lthm: $o). 18.23/3.10 thf(func_def_78, type, pushprop_lem0: $o). 18.23/3.10 thf(func_def_79, type, pushprop_gthm: $o). 18.23/3.10 thf(func_def_80, type, axabs: $o). 18.23/3.10 thf(func_def_81, type, hoasinduction_lem3v2a_lthm: $o). 18.23/3.10 thf(func_def_82, type, hoasinduction_lem2_lthm: $o). 18.23/3.10 thf(func_def_83, type, hoasapinj2_gthm: $o). 18.23/3.10 thf(func_def_84, type, hoasinduction_p_and_p_prime: ((subst > term > subst > $o) > (term > $o) > $o)). 18.23/3.10 thf(func_def_85, type, hoasinduction_lem1_lthm: $o). 18.23/3.10 thf(func_def_86, type, lamnotap: $o). 18.23/3.10 thf(func_def_87, type, hoasapinj1_gthm: $o). 18.23/3.10 thf(func_def_88, type, hoaslamnotvar: $o). 18.23/3.10 thf(func_def_89, type, axidl: $o). 18.23/3.10 thf(func_def_90, type, hoaslaminj_gthm: $o). 18.23/3.10 thf(func_def_91, type, induction2_lthm: $o). 18.23/3.10 thf(func_def_92, type, hoasinduction_lem0_lthm: $o). 18.23/3.10 thf(func_def_93, type, substmonoid_lthm: $o). 18.23/3.10 thf(func_def_94, type, pushprop: $o). 18.23/3.10 thf(func_def_95, type, hoasinduction_lem3_gthm: $o). 18.23/3.10 thf(func_def_96, type, hoasinduction_lem2_gthm: $o). 18.23/3.10 thf(func_def_97, type, hoasinduction_lem3b: $o). 18.23/3.10 thf(func_def_98, type, substmonoid: $o). 18.23/3.10 thf(func_def_99, type, lamnotvar: $o). 18.23/3.10 thf(func_def_100, type, hoasinduction_lem3a: $o). 18.23/3.10 thf(func_def_101, type, hoasinduction_lem1_gthm: $o). 18.23/3.10 thf(func_def_102, type, hoasinduction_no_psi_cond: $o). 18.23/3.10 thf(func_def_103, type, induction2_gthm: $o). 18.23/3.10 thf(func_def_104, type, pushprop_lem2v2_lthm: $o). 18.23/3.10 thf(func_def_105, type, hoasvar: (subst > term > subst > $o)). 18.23/3.10 thf(func_def_106, type, hoaslamnotap: $o). 18.23/3.10 thf(func_def_107, type, substmonoid_gthm: $o). 18.23/3.10 thf(func_def_108, type, ulamvarsh: $o). 18.23/3.10 thf(func_def_109, type, induction2: $o). 18.23/3.10 thf(func_def_110, type, pushprop_lem3v2: $o). 18.23/3.10 thf(func_def_111, type, pushprop_lem2v2_gthm: $o). 18.23/3.10 thf(func_def_112, type, pushprop_lem1_lthm: $o). 18.23/3.10 thf(func_def_113, type, hoasinduction_lem3v2: $o). 18.23/3.10 thf(func_def_114, type, axshiftcons: $o). 18.23/3.10 thf(func_def_115, type, termmset: $o). 18.23/3.10 thf(func_def_116, type, pushprop_lem0_lthm: $o). 18.23/3.10 thf(func_def_117, type, hoasapnotvar_lthm: $o). 18.23/3.10 thf(func_def_118, type, hoasinduction_lem3v2_lthm: $o). 18.23/3.10 thf(func_def_119, type, pushprop_p_and_p_prime: (term > subst > (term > $o) > (term > $o) > $o)). 18.23/3.10 thf(func_def_120, type, axvarid: $o). 18.23/3.10 thf(func_def_121, type, hoasinduction_lthm_3: $o). 18.23/3.10 thf(func_def_123, type, vIMP: ($o > $o > $o)). 18.23/3.10 thf(func_def_124, type, vAND: ($o > $o > $o)). 18.23/3.10 thf(func_def_125, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))). 18.23/3.10 thf(func_def_126, type, db2: !>[X0: $tType]:(X0)). 18.23/3.10 thf(func_def_127, type, db1: !>[X0: $tType]:(X0)). 18.23/3.10 thf(func_def_128, type, db0: !>[X0: $tType]:(X0)). 18.23/3.10 thf(func_def_129, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))). 18.23/3.10 thf(func_def_130, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))). 18.23/3.10 thf(func_def_131, type, db3: !>[X0: $tType]:(X0)). 18.23/3.10 thf(func_def_132, type, db4: !>[X0: $tType]:(X0)). 18.23/3.10 thf(func_def_133, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))). 18.23/3.10 thf(func_def_134, type, vNOT: ($o > $o)). 18.23/3.10 thf(func_def_137, type, vIFF: ($o > $o > $o)). 18.23/3.10 thf(func_def_138, type, db6: !>[X0: $tType]:(X0)). 18.23/3.10 thf(func_def_139, type, db5: !>[X0: $tType]:(X0)). 18.23/3.10 thf(func_def_140, type, sK0: ((subst > term > subst > $o) > term > $o)). 18.23/3.10 thf(func_def_141, type, sK1: ((term > $o) > term)). 18.23/3.10 thf(func_def_142, type, sK2: ((term > $o) > term)). 18.23/3.10 thf(func_def_143, type, sK3: ((term > $o) > term)). 18.23/3.10 thf(func_def_144, type, sK4: ((term > $o) > term)). 18.23/3.10 thf(func_def_145, type, sK5: ((subst > term > subst > $o) > subst > term > term)). 18.23/3.10 thf(func_def_146, type, sK6: ((subst > term > subst > $o) > (term > $o) > term)). 18.23/3.10 thf(func_def_147, type, sK7: (term > (term > $o) > term)). 18.23/3.10 thf(func_def_148, type, sK8: (subst > term > subst > $o)). 18.23/3.10 thf(func_def_149, type, sK9: term). 18.23/3.10 thf(func_def_150, type, sK10: ((subst > term > term) > subst)). 18.23/3.10 thf(func_def_151, type, sK11: ((subst > term > term) > term)). 18.23/3.10 thf(func_def_152, type, sK12: ((subst > term > term) > subst)). 18.23/3.10 thf(func_def_153, type, sK13: ((subst > term > term) > term)). 18.23/3.10 thf(f3,axiom,( 18.23/3.10 (! [X0 : term] : (((sub @ X0 @ id)) = X0) = axvarid)), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',axvarid)). 18.23/3.10 thf(f46,axiom,( 18.23/3.10 (! [X0 : (term > $o)] : (! [X1 : term] : ((var @ X1) => (X0 @ X1)) => (! [X1 : term,X2 : term] : ((X0 @ X1) => ((X0 @ X2) => (X0 @ (ap @ X1 @ X2)))) => (! [X1 : term] : (! [X2 : term] : ((X0 @ X2) => (X0 @ (sub @ X1 @ (push @ X2 @ id)))) => (X0 @ (lam @ X1))) => ! [X1 : term] : (X0 @ X1)))) = induction2)), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',induction2)). 18.23/3.10 thf(f55,axiom,( 18.23/3.10 (hoasap = (^[X0 : subst, X1 : term, X2 : subst, X3 : term] : ((ap @ (sub @ X1 @ X2) @ X3))))), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasap)). 18.23/3.10 thf(f56,axiom,( 18.23/3.10 ((^[X0 : subst, X1 : (subst > term > term)] : ((lam @ (X1 @ sh @ one)))) = hoaslam)), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoaslam)). 18.23/3.10 thf(f57,axiom,( 18.23/3.10 ((^[X0 : subst, X1 : term, X2 : subst] : ((var @ (sub @ X1 @ X2)))) = hoasvar)), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasvar)). 18.23/3.10 thf(f76,axiom,( 18.23/3.10 ((^[X0 : (subst > term > subst > $o), X1 : (term > $o)] : (! [X2 : term] : ((X1 @ X2) <=> (X0 @ id @ X2 @ id)))) = hoasinduction_p_and_p_prime)), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction_p_and_p_prime)). 18.23/3.10 thf(f77,axiom,( 18.23/3.10 (hoasinduction_lem0 = ! [X0 : (subst > term > subst > $o)] : ? [X1 : (term > $o)] : (hoasinduction_p_and_p_prime @ X0 @ X1))), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem0)). 18.23/3.10 thf(f78,axiom,( 18.23/3.10 (hoasinduction_lem0_lthm = hoasinduction_lem0)), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem0_lthm)). 18.23/3.10 thf(f88,axiom,( 18.23/3.10 (hoasinduction_lem3v2a = ! [X1 : (term > $o),X0 : (subst > term > subst > $o)] : (! [X2 : (subst > term > term)] : (! [X4 : term,X5 : subst,X3 : subst] : (((sub @ (X2 @ X3 @ X4) @ X5)) = ((X2 @ (comp @ X3 @ X5) @ (sub @ X4 @ X5)))) => (! [X4 : term] : ((X0 @ id @ X4 @ id) => (X0 @ id @ (X2 @ id @ X4) @ id)) => (X0 @ id @ (hoaslam @ id @ (^[X3 : subst, X4 : term] : ((X2 @ X3 @ X4)))) @ id))) => ((hoasinduction_p_and_p_prime @ X0 @ X1) => ! [X4 : term] : (! [X6 : term] : ((X1 @ X6) => (X1 @ (sub @ X4 @ (push @ X6 @ id)))) => (X1 @ (lam @ X4))))))), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem3v2a)). 18.23/3.10 thf(f108,axiom,( 18.23/3.10 (hoasinduction = ! [X0 : (subst > term > subst > $o)] : (! [X1 : subst,X4 : subst,X2 : term,X3 : subst] : ((X0 @ X1 @ X2 @ (comp @ X4 @ X3)) => (X0 @ (comp @ X1 @ X4) @ (sub @ X2 @ X4) @ X3)) => (! [X3 : subst,X1 : subst,X2 : term,X4 : subst] : ((X0 @ (comp @ X1 @ X4) @ (sub @ X2 @ X4) @ X3) => (X0 @ X1 @ X2 @ (comp @ X4 @ X3))) => (! [X2 : term] : ((hoasvar @ id @ X2 @ id) => (X0 @ id @ X2 @ id)) => (! [X5 : term,X2 : term] : ((X0 @ id @ X2 @ id) => ((X0 @ id @ X5 @ id) => (X0 @ id @ (hoasap @ id @ X2 @ id @ X5) @ id))) => (! [X6 : (subst > term > term)] : (! [X2 : term,X3 : subst,X1 : subst] : (((sub @ (X6 @ X1 @ X2) @ X3)) = ((X6 @ (comp @ X1 @ X3) @ (sub @ X2 @ X3)))) => (! [X2 : term] : ((X0 @ id @ X2 @ id) => (X0 @ id @ (X6 @ id @ X2) @ id)) => (X0 @ id @ (hoaslam @ id @ (^[X1 : subst, X2 : term] : ((X6 @ X1 @ X2)))) @ id))) => ! [X2 : term] : (X0 @ id @ X2 @ id)))))))), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction)). 18.23/3.10 thf(f111,axiom,( 18.23/3.10 (hoasinduction_lthm_3 = hoasinduction_lem0 => (induction2 => (axvarid => (hoasinduction_lem3v2a => hoasinduction))))), 18.23/3.10 file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction_lthm_3)). 18.23/3.10 thf(f114,conjecture,( 18.23/3.10 hoasinduction_lthm_3), 18.23/3.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)). 18.23/3.10 thf(f115,negated_conjecture,( 18.23/3.10 ~hoasinduction_lthm_3), 18.23/3.10 inference(negated_conjecture,[status(cth)],[f114])). 18.23/3.10 thf(f137,plain,( 18.23/3.10 (hoaslam = (^[Y0 : subst]: ((^[Y1 : subst > term > term]: (lam @ (Y1 @ sh @ one))))))), 18.23/3.10 inference(fool_elimination,[],[f56])). 18.23/3.10 thf(f144,plain,( 18.23/3.10 (hoasinduction_lem0 = ! [X0 : (subst > term > subst > $o)] : ? [X1 : (term > $o)] : (hoasinduction_p_and_p_prime @ X0 @ X1))), 18.23/3.10 inference(rectify,[],[f77])). 18.23/3.10 thf(f145,plain,( 18.23/3.10 (hoasinduction_lem0 = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (?? @ (term > $o) @ (^[Y1 : term > $o]: (hoasinduction_p_and_p_prime @ Y0 @ Y1)))))))), 18.23/3.10 inference(fool_elimination,[],[f144])). 18.23/3.10 thf(f161,plain,( 18.23/3.10 (hoasinduction = ! [X0 : (subst > term > subst > $o)] : (! [X1 : subst,X2 : subst,X3 : term,X4 : subst] : ((X0 @ X1 @ X3 @ (comp @ X2 @ X4)) => (X0 @ (comp @ X1 @ X2) @ (sub @ X3 @ X2) @ X4)) => (! [X5 : subst,X6 : subst,X7 : term,X8 : subst] : ((X0 @ (comp @ X6 @ X8) @ (sub @ X7 @ X8) @ X5) => (X0 @ X6 @ X7 @ (comp @ X8 @ X5))) => (! [X9 : term] : ((hoasvar @ id @ X9 @ id) => (X0 @ id @ X9 @ id)) => (! [X10 : term,X11 : term] : ((X0 @ id @ X11 @ id) => ((X0 @ id @ X10 @ id) => (X0 @ id @ (hoasap @ id @ X11 @ id @ X10) @ id))) => (! [X12 : (subst > term > term)] : (! [X13 : term,X14 : subst,X15 : subst] : (((sub @ (X12 @ X15 @ X13) @ X14)) = ((X12 @ (comp @ X15 @ X14) @ (sub @ X13 @ X14)))) => (! [X16 : term] : ((X0 @ id @ X16 @ id) => (X0 @ id @ (X12 @ id @ X16) @ id)) => (X0 @ id @ (hoaslam @ id @ (^[X17 : subst, X18 : term] : ((X12 @ X17 @ X18)))) @ id))) => ! [X19 : term] : (X0 @ id @ X19 @ id)))))))), 18.23/3.10 inference(rectify,[],[f108])). 18.23/3.10 thf(f162,plain,( 18.23/3.10 (hoasinduction = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ Y4 @ Y2 @ (comp @ Y3 @ Y1)) => (Y0 @ (comp @ Y4 @ Y3) @ (sub @ Y2 @ Y3) @ Y1)))))))))) => ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1) @ Y4) => (Y0 @ Y3 @ Y2 @ (comp @ Y1 @ Y4))))))))))) => ((!! @ term @ (^[Y1 : term]: ((hoasvar @ id @ Y1 @ id) => (Y0 @ id @ Y1 @ id)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y1 @ id) => ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (hoasap @ id @ Y1 @ id @ Y2) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: (!! @ term @ (^[Y4 : term]: ((sub @ (Y1 @ Y2 @ Y4) @ Y3) = (Y1 @ (comp @ Y2 @ Y3) @ (sub @ Y4 @ Y3))))))))) => ((!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (Y1 @ id @ Y2) @ id)))) => (Y0 @ id @ (hoaslam @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y1 @ Y2 @ Y3))))) @ id))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ id @ Y1 @ id))))))))))))), 18.23/3.10 inference(fool_elimination,[],[f161])). 18.23/3.10 thf(f184,plain,( 18.23/3.10 (axvarid = ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0)))))), 18.23/3.10 inference(fool_elimination,[],[f3])). 18.23/3.10 thf(f213,plain,( 18.23/3.10 (hoasap = (^[Y0 : subst]: ((^[Y1 : term]: ((^[Y2 : subst]: ((^[Y3 : term]: (ap @ (sub @ Y1 @ Y2) @ Y3)))))))))), 18.23/3.10 inference(fool_elimination,[],[f55])). 18.23/3.10 thf(f220,plain,( 18.23/3.10 ~hoasinduction_lthm_3), 18.23/3.10 inference(rectify,[],[f115])). 18.23/3.10 thf(f221,plain,( 18.23/3.10 ($true = ((~ hoasinduction_lthm_3)))), 18.23/3.10 inference(fool_elimination,[],[f220])). 18.23/3.10 thf(f227,plain,( 18.23/3.10 (hoasvar = (^[Y0 : subst]: ((^[Y1 : term]: ((^[Y2 : subst]: (var @ (sub @ Y1 @ Y2))))))))), 18.23/3.10 inference(fool_elimination,[],[f57])). 18.23/3.10 thf(f232,plain,( 18.23/3.10 ((^[X0 : (subst > term > subst > $o), X1 : (term > $o)] : (! [X2 : term] : ((X1 @ X2) <=> (X0 @ id @ X2 @ id)))) = hoasinduction_p_and_p_prime)), 18.23/3.10 inference(rectify,[],[f76])). 18.23/3.10 thf(f233,plain,( 18.23/3.10 (hoasinduction_p_and_p_prime = (^[Y0 : subst > term > subst > $o]: ((^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: ((Y1 @ Y2) = (Y0 @ id @ Y2 @ id))))))))), 18.23/3.11 inference(fool_elimination,[],[f232])). 18.23/3.11 thf(f234,plain,( 18.23/3.11 (hoasinduction_lem3v2a = ! [X0 : (term > $o),X1 : (subst > term > subst > $o)] : (! [X2 : (subst > term > term)] : (! [X3 : term,X4 : subst,X5 : subst] : (((sub @ (X2 @ X5 @ X3) @ X4)) = ((X2 @ (comp @ X5 @ X4) @ (sub @ X3 @ X4)))) => (! [X6 : term] : ((X1 @ id @ X6 @ id) => (X1 @ id @ (X2 @ id @ X6) @ id)) => (X1 @ id @ (hoaslam @ id @ (^[X7 : subst, X8 : term] : ((X2 @ X7 @ X8)))) @ id))) => ((hoasinduction_p_and_p_prime @ X1 @ X0) => ! [X9 : term] : (! [X10 : term] : ((X0 @ X10) => (X0 @ (sub @ X9 @ (push @ X10 @ id)))) => (X0 @ (lam @ X9))))))), 18.23/3.11 inference(rectify,[],[f88])). 18.23/3.11 thf(f235,plain,( 18.23/3.11 (hoasinduction_lem3v2a = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (!! @ (term > $o) @ (^[Y1 : term > $o]: ((!! @ (subst > term > term) @ (^[Y2 : subst > term > term]: ((!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: (!! @ term @ (^[Y5 : term]: ((sub @ (Y2 @ Y3 @ Y5) @ Y4) = (Y2 @ (comp @ Y3 @ Y4) @ (sub @ Y5 @ Y4))))))))) => ((!! @ term @ (^[Y3 : term]: ((Y0 @ id @ Y3 @ id) => (Y0 @ id @ (Y2 @ id @ Y3) @ id)))) => (Y0 @ id @ (hoaslam @ id @ (^[Y3 : subst]: ((^[Y4 : term]: (Y2 @ Y3 @ Y4))))) @ id))))) => ((hoasinduction_p_and_p_prime @ Y0 @ Y1) => (!! @ term @ (^[Y2 : term]: ((!! @ term @ (^[Y3 : term]: ((Y1 @ Y3) => (Y1 @ (sub @ Y2 @ (push @ Y3 @ id)))))) => (Y1 @ (lam @ Y2)))))))))))))), 18.23/3.11 inference(fool_elimination,[],[f234])). 18.23/3.11 thf(f241,plain,( 18.23/3.11 (hoasinduction_lem0 = hoasinduction_lem0_lthm)), 18.23/3.11 inference(fool_elimination,[],[f78])). 18.23/3.11 thf(f254,plain,( 18.23/3.11 (hoasinduction_lthm_3 = hoasinduction_lem0 => (induction2 => (axvarid => (hoasinduction_lem3v2a => hoasinduction))))), 18.23/3.11 inference(rectify,[],[f111])). 18.23/3.11 thf(f255,plain,( 18.23/3.11 (hoasinduction_lthm_3 = ((hoasinduction_lem0 => (induction2 => (axvarid => (hoasinduction_lem3v2a => hoasinduction))))))), 18.23/3.11 inference(fool_elimination,[],[f254])). 18.23/3.11 thf(f320,plain,( 18.23/3.11 (! [X0 : (term > $o)] : (! [X1 : term] : ((var @ X1) => (X0 @ X1)) => (! [X2 : term,X3 : term] : ((X0 @ X2) => ((X0 @ X3) => (X0 @ (ap @ X2 @ X3)))) => (! [X4 : term] : (! [X5 : term] : ((X0 @ X5) => (X0 @ (sub @ X4 @ (push @ X5 @ id)))) => (X0 @ (lam @ X4))) => ! [X6 : term] : (X0 @ X6)))) = induction2)), 18.23/3.11 inference(rectify,[],[f46])). 18.23/3.11 thf(f321,plain,( 18.23/3.11 (induction2 = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1))))))))))), 18.23/3.11 inference(fool_elimination,[],[f320])). 18.23/3.11 thf(f335,plain,( 18.23/3.11 (hoasinduction_p_and_p_prime = (^[Y0 : subst > term > subst > $o]: ((^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: ((Y1 @ Y2) = (Y0 @ id @ Y2 @ id))))))))), 18.23/3.11 inference(cnf_transformation,[],[f233])). 18.23/3.11 thf(f337,plain,( 18.23/3.11 (hoasinduction = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ Y4 @ Y2 @ (comp @ Y3 @ Y1)) => (Y0 @ (comp @ Y4 @ Y3) @ (sub @ Y2 @ Y3) @ Y1)))))))))) => ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1) @ Y4) => (Y0 @ Y3 @ Y2 @ (comp @ Y1 @ Y4))))))))))) => ((!! @ term @ (^[Y1 : term]: ((hoasvar @ id @ Y1 @ id) => (Y0 @ id @ Y1 @ id)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y1 @ id) => ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (hoasap @ id @ Y1 @ id @ Y2) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: (!! @ term @ (^[Y4 : term]: ((sub @ (Y1 @ Y2 @ Y4) @ Y3) = (Y1 @ (comp @ Y2 @ Y3) @ (sub @ Y4 @ Y3))))))))) => ((!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (Y1 @ id @ Y2) @ id)))) => (Y0 @ id @ (hoaslam @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y1 @ Y2 @ Y3))))) @ id))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ id @ Y1 @ id))))))))))))), 18.23/3.11 inference(cnf_transformation,[],[f162])). 18.23/3.11 thf(f347,plain,( 18.23/3.11 (hoasinduction_lem0 = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (?? @ (term > $o) @ (^[Y1 : term > $o]: (hoasinduction_p_and_p_prime @ Y0 @ Y1)))))))), 18.23/3.11 inference(cnf_transformation,[],[f145])). 18.23/3.11 thf(f361,plain,( 18.23/3.11 (hoasinduction_lem3v2a = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (!! @ (term > $o) @ (^[Y1 : term > $o]: ((!! @ (subst > term > term) @ (^[Y2 : subst > term > term]: ((!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: (!! @ term @ (^[Y5 : term]: ((sub @ (Y2 @ Y3 @ Y5) @ Y4) = (Y2 @ (comp @ Y3 @ Y4) @ (sub @ Y5 @ Y4))))))))) => ((!! @ term @ (^[Y3 : term]: ((Y0 @ id @ Y3 @ id) => (Y0 @ id @ (Y2 @ id @ Y3) @ id)))) => (Y0 @ id @ (hoaslam @ id @ (^[Y3 : subst]: ((^[Y4 : term]: (Y2 @ Y3 @ Y4))))) @ id))))) => ((hoasinduction_p_and_p_prime @ Y0 @ Y1) => (!! @ term @ (^[Y2 : term]: ((!! @ term @ (^[Y3 : term]: ((Y1 @ Y3) => (Y1 @ (sub @ Y2 @ (push @ Y3 @ id)))))) => (Y1 @ (lam @ Y2)))))))))))))), 18.23/3.11 inference(cnf_transformation,[],[f235])). 18.23/3.11 thf(f363,plain,( 18.23/3.11 (hoasinduction_lthm_3 = ((hoasinduction_lem0 => (induction2 => (axvarid => (hoasinduction_lem3v2a => hoasinduction))))))), 18.23/3.11 inference(cnf_transformation,[],[f255])). 18.23/3.11 thf(f376,plain,( 18.23/3.11 (induction2 = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ Y1))))))))))), 18.23/3.11 inference(cnf_transformation,[],[f321])). 18.23/3.11 thf(f389,plain,( 18.23/3.11 (hoasinduction_lem0 = hoasinduction_lem0_lthm)), 18.23/3.11 inference(cnf_transformation,[],[f241])). 18.23/3.11 thf(f391,plain,( 18.23/3.11 ($true = ((~ hoasinduction_lthm_3)))), 18.23/3.11 inference(cnf_transformation,[],[f221])). 18.23/3.11 thf(f402,plain,( 18.23/3.11 (hoasvar = (^[Y0 : subst]: ((^[Y1 : term]: ((^[Y2 : subst]: (var @ (sub @ Y1 @ Y2))))))))), 18.23/3.11 inference(cnf_transformation,[],[f227])). 18.23/3.11 thf(f410,plain,( 18.23/3.11 (axvarid = ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0)))))), 18.23/3.11 inference(cnf_transformation,[],[f184])). 18.23/3.11 thf(f416,plain,( 18.23/3.11 (hoasap = (^[Y0 : subst]: ((^[Y1 : term]: ((^[Y2 : subst]: ((^[Y3 : term]: (ap @ (sub @ Y1 @ Y2) @ Y3)))))))))), 18.23/3.11 inference(cnf_transformation,[],[f213])). 18.23/3.11 thf(f429,plain,( 18.23/3.11 (hoaslam = (^[Y0 : subst]: ((^[Y1 : subst > term > term]: (lam @ (Y1 @ sh @ one))))))), 18.23/3.11 inference(cnf_transformation,[],[f137])). 18.23/3.11 thf(f444,plain,( 18.23/3.11 (hoasinduction = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ Y4 @ Y2 @ (comp @ Y3 @ Y1)) => (Y0 @ (comp @ Y4 @ Y3) @ (sub @ Y2 @ Y3) @ Y1)))))))))) => ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1) @ Y4) => (Y0 @ Y3 @ Y2 @ (comp @ Y1 @ Y4))))))))))) => ((!! @ term @ (^[Y1 : term]: (((^[Y2 : subst]: ((^[Y3 : term]: ((^[Y4 : subst]: (var @ (sub @ Y3 @ Y4))))))) @ id @ Y1 @ id) => (Y0 @ id @ Y1 @ id)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y1 @ id) => ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ ((^[Y3 : subst]: ((^[Y4 : term]: ((^[Y5 : subst]: ((^[Y6 : term]: (ap @ (sub @ Y4 @ Y5) @ Y6)))))))) @ id @ Y1 @ id @ Y2) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: (!! @ term @ (^[Y4 : term]: ((sub @ (Y1 @ Y2 @ Y4) @ Y3) = (Y1 @ (comp @ Y2 @ Y3) @ (sub @ Y4 @ Y3))))))))) => ((!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (Y1 @ id @ Y2) @ id)))) => (Y0 @ id @ ((^[Y2 : subst]: ((^[Y3 : subst > term > term]: (lam @ (Y3 @ sh @ one))))) @ id @ (^[Y2 : subst]: ((^[Y3 : term]: (Y1 @ Y2 @ Y3))))) @ id))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ id @ Y1 @ id))))))))))))), 18.23/3.11 inference(definition_unfolding,[],[f337,f402,f416,f429])). 18.23/3.11 thf(f447,plain,( 18.23/3.11 (hoasinduction_lem0_lthm = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (?? @ (term > $o) @ (^[Y1 : term > $o]: ((^[Y2 : subst > term > subst > $o]: ((^[Y3 : term > $o]: (!! @ term @ (^[Y4 : term]: ((Y3 @ Y4) = (Y2 @ id @ Y4 @ id))))))) @ Y0 @ Y1)))))))), 18.23/3.11 inference(definition_unfolding,[],[f347,f389,f335])). 18.23/3.11 thf(f452,plain,( 18.23/3.11 (hoasinduction_lem3v2a = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (!! @ (term > $o) @ (^[Y1 : term > $o]: ((!! @ (subst > term > term) @ (^[Y2 : subst > term > term]: ((!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: (!! @ term @ (^[Y5 : term]: ((sub @ (Y2 @ Y3 @ Y5) @ Y4) = (Y2 @ (comp @ Y3 @ Y4) @ (sub @ Y5 @ Y4))))))))) => ((!! @ term @ (^[Y3 : term]: ((Y0 @ id @ Y3 @ id) => (Y0 @ id @ (Y2 @ id @ Y3) @ id)))) => (Y0 @ id @ ((^[Y3 : subst]: ((^[Y4 : subst > term > term]: (lam @ (Y4 @ sh @ one))))) @ id @ (^[Y3 : subst]: ((^[Y4 : term]: (Y2 @ Y3 @ Y4))))) @ id))))) => (((^[Y2 : subst > term > subst > $o]: ((^[Y3 : term > $o]: (!! @ term @ (^[Y4 : term]: ((Y3 @ Y4) = (Y2 @ id @ Y4 @ id))))))) @ Y0 @ Y1) => (!! @ term @ (^[Y2 : term]: ((!! @ term @ (^[Y3 : term]: ((Y1 @ Y3) => (Y1 @ (sub @ Y2 @ (push @ Y3 @ id)))))) => (Y1 @ (lam @ Y2)))))))))))))), 18.23/3.11 inference(definition_unfolding,[],[f361,f429,f335])). 18.23/3.11 thf(f453,plain,( 18.23/3.11 (hoasinduction_lthm_3 = ((hoasinduction_lem0_lthm => (induction2 => (axvarid => (hoasinduction_lem3v2a => hoasinduction))))))), 18.23/3.11 inference(definition_unfolding,[],[f363,f389])). 18.23/3.11 thf(f476,plain,( 18.23/3.11 (induction2 = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))), 18.23/3.11 inference(beta-eta_normalization,[],[f376])). 18.23/3.11 thf(f480,plain,( 18.23/3.11 (hoasinduction_lem3v2a = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (!! @ (term > $o) @ (^[Y1 : term > $o]: ((!! @ (subst > term > term) @ (^[Y2 : subst > term > term]: ((!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: (!! @ term @ (^[Y5 : term]: ((sub @ (Y2 @ Y3 @ Y5) @ Y4) = (Y2 @ (comp @ Y3 @ Y4) @ (sub @ Y5 @ Y4))))))))) => ((!! @ term @ (^[Y3 : term]: ((Y0 @ id @ Y3 @ id) => (Y0 @ id @ (Y2 @ id @ Y3) @ id)))) => (Y0 @ id @ (lam @ (Y2 @ sh @ one)) @ id))))) => ((!! @ term @ (^[Y2 : term]: ((Y1 @ Y2) = (Y0 @ id @ Y2 @ id)))) => (!! @ term @ (^[Y2 : term]: ((!! @ term @ (^[Y3 : term]: ((Y1 @ Y3) => (Y1 @ (sub @ Y2 @ (push @ Y3 @ id)))))) => (Y1 @ (lam @ Y2)))))))))))))), 18.23/3.11 inference(beta-eta_normalization,[],[f452])). 18.23/3.11 thf(f482,plain,( 18.23/3.11 (hoasinduction = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ Y4 @ Y2 @ (comp @ Y3 @ Y1)) => (Y0 @ (comp @ Y4 @ Y3) @ (sub @ Y2 @ Y3) @ Y1)))))))))) => ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1) @ Y4) => (Y0 @ Y3 @ Y2 @ (comp @ Y1 @ Y4))))))))))) => ((!! @ term @ (^[Y1 : term]: ((var @ (sub @ Y1 @ id)) => (Y0 @ id @ Y1 @ id)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y1 @ id) => ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (ap @ (sub @ Y1 @ id) @ Y2) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: (!! @ term @ (^[Y4 : term]: ((sub @ (Y1 @ Y2 @ Y4) @ Y3) = (Y1 @ (comp @ Y2 @ Y3) @ (sub @ Y4 @ Y3))))))))) => ((!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (Y1 @ id @ Y2) @ id)))) => (Y0 @ id @ (lam @ (Y1 @ sh @ one)) @ id))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ id @ Y1 @ id))))))))))))), 18.23/3.11 inference(beta-eta_normalization,[],[f444])). 18.23/3.11 thf(f491,plain,( 18.23/3.11 (hoasinduction_lem0_lthm = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (?? @ (term > $o) @ (^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: ((Y1 @ Y2) = (Y0 @ id @ Y2 @ id))))))))))), 18.23/3.11 inference(beta-eta_normalization,[],[f447])). 18.23/3.11 thf(f497,plain,( 18.23/3.11 (hoasinduction_lthm_3 = $false)), 18.23/3.11 inference(not_proxy_clausification,[],[f391])). 18.23/3.11 thf(f500,plain,( 18.23/3.11 (((hoasinduction_lem0_lthm => (induction2 => (axvarid => (hoasinduction_lem3v2a => hoasinduction))))) = $false)), 18.23/3.11 inference(forward_demodulation,[],[f453,f497])). 18.23/3.11 thf(f501,plain,( 18.23/3.11 ($false = ((induction2 => (axvarid => (hoasinduction_lem3v2a => hoasinduction)))))), 18.23/3.11 inference(imp_proxy_clausification,[],[f500])). 18.23/3.11 thf(f502,plain,( 18.23/3.11 (hoasinduction_lem0_lthm = $true)), 18.23/3.11 inference(imp_proxy_clausification,[],[f500])). 18.23/3.11 thf(f503,plain,( 18.23/3.11 (((axvarid => (hoasinduction_lem3v2a => hoasinduction))) = $false)), 18.23/3.11 inference(imp_proxy_clausification,[],[f501])). 18.23/3.11 thf(f504,plain,( 18.23/3.11 (induction2 = $true)), 18.23/3.11 inference(imp_proxy_clausification,[],[f501])). 18.23/3.11 thf(f505,plain,( 18.23/3.11 ($false = ((hoasinduction_lem3v2a => hoasinduction)))), 18.23/3.11 inference(imp_proxy_clausification,[],[f503])). 18.23/3.11 thf(f506,plain,( 18.23/3.11 (axvarid = $true)), 18.23/3.11 inference(imp_proxy_clausification,[],[f503])). 18.23/3.11 thf(f507,plain,( 18.23/3.11 (hoasinduction = $false)), 18.23/3.11 inference(imp_proxy_clausification,[],[f505])). 18.23/3.11 thf(f508,plain,( 18.23/3.11 (hoasinduction_lem3v2a = $true)), 18.23/3.11 inference(imp_proxy_clausification,[],[f505])). 18.23/3.11 thf(f509,plain,( 18.23/3.11 ($true = ((!! @ term @ (^[Y0 : term]: ((sub @ Y0 @ id) = Y0)))))), 18.23/3.11 inference(forward_demodulation,[],[f410,f506])). 18.23/3.11 thf(f510,plain,( 18.23/3.11 ( ! [X1 : term] : (((((^[Y0 : term]: ((sub @ Y0 @ id) = Y0)) @ X1)) = $true)) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f509])). 18.23/3.11 thf(f511,plain,( 18.23/3.11 ( ! [X1 : term] : (((((sub @ X1 @ id) = X1)) = $true)) )), 18.23/3.11 inference(beta-eta_normalization,[],[f510])). 18.23/3.11 thf(f512,plain,( 18.23/3.11 ( ! [X1 : term] : ((((sub @ X1 @ id)) = X1)) )), 18.23/3.11 inference(equality_proxy_clausification,[],[f511])). 18.23/3.11 thf(f519,plain,( 18.23/3.11 ($true = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (?? @ (term > $o) @ (^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: ((Y1 @ Y2) = (Y0 @ id @ Y2 @ id))))))))))), 18.23/3.11 inference(forward_demodulation,[],[f491,f502])). 18.23/3.11 thf(f520,plain,( 18.23/3.11 ( ! [X1 : (subst > term > subst > $o)] : (($true = (((^[Y0 : subst > term > subst > $o]: (?? @ (term > $o) @ (^[Y1 : term > $o]: (!! @ term @ (^[Y2 : term]: ((Y1 @ Y2) = (Y0 @ id @ Y2 @ id))))))) @ X1)))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f519])). 18.23/3.11 thf(f521,plain,( 18.23/3.11 ( ! [X1 : (subst > term > subst > $o)] : (($true = ((?? @ (term > $o) @ (^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) = (X1 @ id @ Y1 @ id))))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f520])). 18.23/3.11 thf(f522,plain,( 18.23/3.11 ( ! [X1 : (subst > term > subst > $o)] : (($true = (((^[Y0 : term > $o]: (!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) = (X1 @ id @ Y1 @ id))))) @ (sK0 @ X1))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f521])). 18.23/3.11 thf(f523,plain,( 18.23/3.11 ( ! [X1 : (subst > term > subst > $o)] : (($true = ((!! @ term @ (^[Y0 : term]: ((sK0 @ X1 @ Y0) = (X1 @ id @ Y0 @ id))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f522])). 18.23/3.11 thf(f524,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (subst > term > subst > $o)] : (($true = (((^[Y0 : term]: ((sK0 @ X1 @ Y0) = (X1 @ id @ Y0 @ id))) @ X2)))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f523])). 18.23/3.11 thf(f525,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (subst > term > subst > $o)] : (($true = (((sK0 @ X1 @ X2) = (X1 @ id @ X2 @ id))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f524])). 18.23/3.11 thf(f526,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (subst > term > subst > $o)] : ((((sK0 @ X1 @ X2)) = ((X1 @ id @ X2 @ id)))) )), 18.23/3.11 inference(iff_proxy_clausification,[],[f525])). 18.23/3.11 thf(f533,plain,( 18.23/3.11 ($true = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))))))), 18.23/3.11 inference(forward_demodulation,[],[f476,f504])). 18.23/3.11 thf(f534,plain,( 18.23/3.11 ( ! [X1 : (term > $o)] : (($true = (((^[Y0 : term > $o]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => ((Y0 @ Y1) => (Y0 @ (ap @ Y2 @ Y1)))))))) => ((!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1))))) => (!! @ term @ Y0))))) @ X1)))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f533])). 18.23/3.11 thf(f535,plain,( 18.23/3.11 ( ! [X1 : (term > $o)] : (($true = (((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => ((X1 @ Y0) => (X1 @ (ap @ Y1 @ Y0)))))))) => ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => (X1 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X1 @ (lam @ Y0))))) => (!! @ term @ X1))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f534])). 18.23/3.11 thf(f536,plain,( 18.23/3.11 ( ! [X1 : (term > $o)] : (($true = (((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => ((X1 @ Y0) => (X1 @ (ap @ Y1 @ Y0)))))))) => ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => (X1 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X1 @ (lam @ Y0))))) => (!! @ term @ X1))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f535])). 18.23/3.11 thf(f537,plain,( 18.23/3.11 ( ! [X1 : (term > $o)] : (((((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => (X1 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X1 @ (lam @ Y0))))) => (!! @ term @ X1))) = $true) | (((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => ((X1 @ Y0) => (X1 @ (ap @ Y1 @ Y0))))))))) = $false) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f536])). 18.23/3.11 thf(f538,plain,( 18.23/3.11 ( ! [X1 : (term > $o)] : (($false = ((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => (X1 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X1 @ (lam @ Y0))))))) | (((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => ((X1 @ Y0) => (X1 @ (ap @ Y1 @ Y0))))))))) = $false) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | ($true = ((!! @ term @ X1)))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f537])). 18.23/3.11 thf(f539,plain,( 18.23/3.11 ( ! [X1 : (term > $o)] : (($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | ($true = ((!! @ term @ X1))) | ((((^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => (X1 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X1 @ (lam @ Y0)))) @ (sK1 @ X1))) = $false) | (((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => ((X1 @ Y0) => (X1 @ (ap @ Y1 @ Y0))))))))) = $false)) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f538])). 18.23/3.11 thf(f540,plain,( 18.23/3.11 ( ! [X1 : (term > $o)] : (($true = ((!! @ term @ X1))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | (((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => ((X1 @ Y0) => (X1 @ (ap @ Y1 @ Y0))))))))) = $false) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))) => (X1 @ (lam @ (sK1 @ X1))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f539])). 18.23/3.11 thf(f541,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => ((X1 @ Y0) => (X1 @ (ap @ Y1 @ Y0))))))))) = $false) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))) => (X1 @ (lam @ (sK1 @ X1)))))) | (((X1 @ X2)) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f540])). 18.23/3.11 thf(f542,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = (((^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((X1 @ Y1) => ((X1 @ Y0) => (X1 @ (ap @ Y1 @ Y0))))))) @ (sK2 @ X1)))) | (((X1 @ X2)) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))) => (X1 @ (lam @ (sK1 @ X1))))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f541])). 18.23/3.11 thf(f543,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => ((X1 @ (sK2 @ X1)) => (X1 @ (ap @ Y0 @ (sK2 @ X1))))))))) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))) => (X1 @ (lam @ (sK1 @ X1)))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | (((X1 @ X2)) = $true)) )), 18.23/3.11 inference(beta-eta_normalization,[],[f542])). 18.23/3.11 thf(f544,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = (((^[Y0 : term]: ((X1 @ Y0) => ((X1 @ (sK2 @ X1)) => (X1 @ (ap @ Y0 @ (sK2 @ X1)))))) @ (sK3 @ X1)))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | (((X1 @ X2)) = $true) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))) => (X1 @ (lam @ (sK1 @ X1))))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f543])). 18.23/3.11 thf(f545,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))) => (X1 @ (lam @ (sK1 @ X1)))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | (((X1 @ X2)) = $true) | ((((X1 @ (sK3 @ X1)) => ((X1 @ (sK2 @ X1)) => (X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))))) = $false)) )), 18.23/3.11 inference(beta-eta_normalization,[],[f544])). 18.23/3.11 thf(f546,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | ((((X1 @ (sK3 @ X1)) => ((X1 @ (sK2 @ X1)) => (X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))))) = $false) | ($false = ((X1 @ (lam @ (sK1 @ X1))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f545])). 18.23/3.11 thf(f547,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (((((X1 @ (sK3 @ X1)) => ((X1 @ (sK2 @ X1)) => (X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))))) = $false) | (((X1 @ X2)) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | ($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id))))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f545])). 18.23/3.11 thf(f548,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | (((X1 @ X2)) = $true) | ($false = ((X1 @ (lam @ (sK1 @ X1))))) | ($false = (((X1 @ (sK2 @ X1)) => (X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f546])). 18.23/3.11 thf(f549,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | ($true = ((X1 @ (sK3 @ X1)))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | ($false = ((X1 @ (lam @ (sK1 @ X1)))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f546])). 18.23/3.11 thf(f550,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | ($false = (((X1 @ (sK2 @ X1)) => (X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))))) | ($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f547])). 18.23/3.11 thf(f551,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | ($true = ((X1 @ (sK3 @ X1)))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | ($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id))))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f547])). 18.23/3.11 thf(f552,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | ($false = (((^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))) @ (sK4 @ X1)))) | ($true = ((X1 @ (sK3 @ X1)))) | ($false = ((X1 @ (lam @ (sK1 @ X1)))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f549])). 18.23/3.11 thf(f553,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((X1 @ (lam @ (sK1 @ X1))))) | ($false = (((var @ (sK4 @ X1)) => (X1 @ (sK4 @ X1))))) | (((X1 @ X2)) = $true) | ($true = ((X1 @ (sK3 @ X1))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f552])). 18.23/3.11 thf(f554,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((X1 @ (lam @ (sK1 @ X1))))) | ($false = (((^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))) @ (sK4 @ X1)))) | (((X1 @ X2)) = $true) | ($false = (((X1 @ (sK2 @ X1)) => (X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1))))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f548])). 18.23/3.11 thf(f555,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | ($false = (((X1 @ (sK2 @ X1)) => (X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))))) | ($false = (((var @ (sK4 @ X1)) => (X1 @ (sK4 @ X1))))) | ($false = ((X1 @ (lam @ (sK1 @ X1)))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f554])). 18.23/3.11 thf(f556,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | (((X1 @ X2)) = $true) | (((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f550])). 18.23/3.11 thf(f557,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))))) | (((X1 @ (sK2 @ X1))) = $true) | (((X1 @ X2)) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f550])). 18.23/3.11 thf(f558,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = (((^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))) @ (sK4 @ X1)))) | (((X1 @ X2)) = $true) | ($true = ((X1 @ (sK3 @ X1)))) | ($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id))))))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f551])). 18.23/3.11 thf(f559,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = (((var @ (sK4 @ X1)) => (X1 @ (sK4 @ X1))))) | ($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))))) | ($true = ((X1 @ (sK3 @ X1)))) | (((X1 @ X2)) = $true)) )), 18.23/3.11 inference(beta-eta_normalization,[],[f558])). 18.23/3.11 thf(f560,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((X1 @ (lam @ (sK1 @ X1))))) | ($true = ((X1 @ (sK3 @ X1)))) | (((X1 @ X2)) = $true) | ($false = ((X1 @ (sK4 @ X1))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f553])). 18.23/3.11 thf(f561,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((X1 @ (lam @ (sK1 @ X1))))) | (((X1 @ X2)) = $true) | ($true = ((X1 @ (sK3 @ X1)))) | (((var @ (sK4 @ X1))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f553])). 18.23/3.11 thf(f562,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((X1 @ (lam @ (sK1 @ X1))))) | ($false = (((var @ (sK4 @ X1)) => (X1 @ (sK4 @ X1))))) | (((X1 @ X2)) = $true) | (((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f555])). 18.23/3.11 thf(f563,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | (((X1 @ (sK2 @ X1))) = $true) | ($false = (((var @ (sK4 @ X1)) => (X1 @ (sK4 @ X1))))) | ($false = ((X1 @ (lam @ (sK1 @ X1)))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f555])). 18.23/3.11 thf(f564,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | (((X1 @ (sK2 @ X1))) = $true) | ($true = (((^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id))))) @ X3))) | (((X1 @ X2)) = $true)) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f557])). 18.23/3.11 thf(f565,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = (((X1 @ X3) => (X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id)))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | (((X1 @ (sK2 @ X1))) = $true) | (((X1 @ X2)) = $true)) )), 18.23/3.11 inference(beta-eta_normalization,[],[f564])). 18.23/3.11 thf(f566,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : ((((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | ($true = (((^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id))))) @ X3))) | (((X1 @ X2)) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f556])). 18.23/3.11 thf(f567,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | (((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | ($true = (((X1 @ X3) => (X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f566])). 18.23/3.11 thf(f568,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((X1 @ (sK4 @ X1)))) | ($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))))) | (((X1 @ X2)) = $true) | ($true = ((X1 @ (sK3 @ X1))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f559])). 18.23/3.11 thf(f569,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id)))))))) | ($true = ((X1 @ (sK3 @ X1)))) | (((X1 @ X2)) = $true) | (((var @ (sK4 @ X1))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f559])). 18.23/3.11 thf(f570,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | ($false = ((X1 @ (sK4 @ X1)))) | (((X1 @ X2)) = $true) | ($false = ((X1 @ (lam @ (sK1 @ X1)))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f562])). 18.23/3.11 thf(f571,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | (((X1 @ X2)) = $true) | ($false = ((X1 @ (lam @ (sK1 @ X1))))) | (((var @ (sK4 @ X1))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f562])). 18.23/3.11 thf(f572,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((X1 @ (lam @ (sK1 @ X1))))) | (((X1 @ (sK2 @ X1))) = $true) | (((X1 @ X2)) = $true) | ($false = ((X1 @ (sK4 @ X1))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f563])). 18.23/3.11 thf(f573,plain,( 18.23/3.11 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((X1 @ (lam @ (sK1 @ X1))))) | (((X1 @ X2)) = $true) | (((X1 @ (sK2 @ X1))) = $true) | (((var @ (sK4 @ X1))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f563])). 18.23/3.11 thf(f574,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) | ($true = ((X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id))))) | (((X1 @ X3)) = $false) | (((X1 @ X2)) = $true) | (((X1 @ (sK2 @ X1))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f565])). 18.23/3.11 thf(f575,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = (((X1 @ X3) => (X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id)))))) | (((X1 @ X2)) = $true) | (((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | ($false = (((^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))) @ (sK4 @ X1))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f567])). 18.23/3.11 thf(f576,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | ($false = (((var @ (sK4 @ X1)) => (X1 @ (sK4 @ X1))))) | (((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | ($true = (((X1 @ X3) => (X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f575])). 18.23/3.11 thf(f577,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = ((X1 @ (sK3 @ X1)))) | ($true = (((^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id))))) @ X3))) | (((var @ (sK4 @ X1))) = $true) | (((X1 @ X2)) = $true)) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f569])). 18.23/3.11 thf(f578,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = ((X1 @ (sK3 @ X1)))) | (((var @ (sK4 @ X1))) = $true) | ($true = (((X1 @ X3) => (X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id)))))) | (((X1 @ X2)) = $true)) )), 18.23/3.11 inference(beta-eta_normalization,[],[f577])). 18.23/3.11 thf(f579,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = (((^[Y0 : term]: ((X1 @ Y0) => (X1 @ (sub @ (sK1 @ X1) @ (push @ Y0 @ id))))) @ X3))) | ($true = ((X1 @ (sK3 @ X1)))) | ($false = ((X1 @ (sK4 @ X1)))) | (((X1 @ X2)) = $true)) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f568])). 18.23/3.11 thf(f580,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($false = ((X1 @ (sK4 @ X1)))) | ($true = (((X1 @ X3) => (X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id)))))) | (((X1 @ X2)) = $true) | ($true = ((X1 @ (sK3 @ X1))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f579])). 18.23/3.11 thf(f581,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($false = (((^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))) @ (sK4 @ X1)))) | (((X1 @ X3)) = $false) | (((X1 @ (sK2 @ X1))) = $true) | (((X1 @ X2)) = $true) | ($true = ((X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id)))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f574])). 18.23/3.11 thf(f582,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | ($false = (((var @ (sK4 @ X1)) => (X1 @ (sK4 @ X1))))) | (((X1 @ X3)) = $false) | (((X1 @ (sK2 @ X1))) = $true) | ($true = ((X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id)))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f581])). 18.23/3.11 thf(f583,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = (((X1 @ X3) => (X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id)))))) | (((X1 @ X2)) = $true) | ($false = ((X1 @ (sK4 @ X1)))) | (((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f576])). 18.23/3.11 thf(f584,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = (((X1 @ X3) => (X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id)))))) | (((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | (((X1 @ X2)) = $true) | (((var @ (sK4 @ X1))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f576])). 18.23/3.11 thf(f585,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = ((X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id))))) | (((var @ (sK4 @ X1))) = $true) | (((X1 @ X2)) = $true) | (((X1 @ X3)) = $false) | ($true = ((X1 @ (sK3 @ X1))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f578])). 18.23/3.11 thf(f586,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = ((X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id))))) | (((X1 @ X3)) = $false) | ($true = ((X1 @ (sK3 @ X1)))) | (((X1 @ X2)) = $true) | ($false = ((X1 @ (sK4 @ X1))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f580])). 18.23/3.11 thf(f587,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = ((X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id))))) | (((X1 @ X2)) = $true) | (((X1 @ (sK2 @ X1))) = $true) | (((X1 @ X3)) = $false) | ($false = ((X1 @ (sK4 @ X1))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f582])). 18.23/3.11 thf(f588,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = ((X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id))))) | (((X1 @ (sK2 @ X1))) = $true) | (((var @ (sK4 @ X1))) = $true) | (((X1 @ X3)) = $false) | (((X1 @ X2)) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f582])). 18.23/3.11 thf(f589,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = ((X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id))))) | (((X1 @ X2)) = $true) | (((X1 @ X3)) = $false) | (((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | ($false = ((X1 @ (sK4 @ X1))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f583])). 18.23/3.11 thf(f590,plain,( 18.23/3.11 ( ! [X2 : term,X3 : term,X1 : (term > $o)] : (($true = ((X1 @ (sub @ (sK1 @ X1) @ (push @ X3 @ id))))) | (((X1 @ X3)) = $false) | (((X1 @ X2)) = $true) | (((X1 @ (ap @ (sK3 @ X1) @ (sK2 @ X1)))) = $false) | (((var @ (sK4 @ X1))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f584])). 18.23/3.11 thf(f594,plain,( 18.23/3.11 ($true = ((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: (!! @ (term > $o) @ (^[Y1 : term > $o]: ((!! @ (subst > term > term) @ (^[Y2 : subst > term > term]: ((!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: (!! @ term @ (^[Y5 : term]: ((sub @ (Y2 @ Y3 @ Y5) @ Y4) = (Y2 @ (comp @ Y3 @ Y4) @ (sub @ Y5 @ Y4))))))))) => ((!! @ term @ (^[Y3 : term]: ((Y0 @ id @ Y3 @ id) => (Y0 @ id @ (Y2 @ id @ Y3) @ id)))) => (Y0 @ id @ (lam @ (Y2 @ sh @ one)) @ id))))) => ((!! @ term @ (^[Y2 : term]: ((Y1 @ Y2) = (Y0 @ id @ Y2 @ id)))) => (!! @ term @ (^[Y2 : term]: ((!! @ term @ (^[Y3 : term]: ((Y1 @ Y3) => (Y1 @ (sub @ Y2 @ (push @ Y3 @ id)))))) => (Y1 @ (lam @ Y2)))))))))))))), 18.23/3.11 inference(forward_demodulation,[],[f480,f508])). 18.23/3.11 thf(f595,plain,( 18.23/3.11 ( ! [X1 : (subst > term > subst > $o)] : (($true = (((^[Y0 : subst > term > subst > $o]: (!! @ (term > $o) @ (^[Y1 : term > $o]: ((!! @ (subst > term > term) @ (^[Y2 : subst > term > term]: ((!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: (!! @ term @ (^[Y5 : term]: ((sub @ (Y2 @ Y3 @ Y5) @ Y4) = (Y2 @ (comp @ Y3 @ Y4) @ (sub @ Y5 @ Y4))))))))) => ((!! @ term @ (^[Y3 : term]: ((Y0 @ id @ Y3 @ id) => (Y0 @ id @ (Y2 @ id @ Y3) @ id)))) => (Y0 @ id @ (lam @ (Y2 @ sh @ one)) @ id))))) => ((!! @ term @ (^[Y2 : term]: ((Y1 @ Y2) = (Y0 @ id @ Y2 @ id)))) => (!! @ term @ (^[Y2 : term]: ((!! @ term @ (^[Y3 : term]: ((Y1 @ Y3) => (Y1 @ (sub @ Y2 @ (push @ Y3 @ id)))))) => (Y1 @ (lam @ Y2)))))))))) @ X1)))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f594])). 18.23/3.11 thf(f596,plain,( 18.23/3.11 ( ! [X1 : (subst > term > subst > $o)] : (($true = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: (!! @ term @ (^[Y4 : term]: ((sub @ (Y1 @ Y2 @ Y4) @ Y3) = (Y1 @ (comp @ Y2 @ Y3) @ (sub @ Y4 @ Y3))))))))) => ((!! @ term @ (^[Y2 : term]: ((X1 @ id @ Y2 @ id) => (X1 @ id @ (Y1 @ id @ Y2) @ id)))) => (X1 @ id @ (lam @ (Y1 @ sh @ one)) @ id))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) = (X1 @ id @ Y1 @ id)))) => (!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1)))))))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f595])). 18.23/3.11 thf(f597,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X1 : (subst > term > subst > $o)] : (((((^[Y0 : term > $o]: ((!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: (!! @ term @ (^[Y4 : term]: ((sub @ (Y1 @ Y2 @ Y4) @ Y3) = (Y1 @ (comp @ Y2 @ Y3) @ (sub @ Y4 @ Y3))))))))) => ((!! @ term @ (^[Y2 : term]: ((X1 @ id @ Y2 @ id) => (X1 @ id @ (Y1 @ id @ Y2) @ id)))) => (X1 @ id @ (lam @ (Y1 @ sh @ one)) @ id))))) => ((!! @ term @ (^[Y1 : term]: ((Y0 @ Y1) = (X1 @ id @ Y1 @ id)))) => (!! @ term @ (^[Y1 : term]: ((!! @ term @ (^[Y2 : term]: ((Y0 @ Y2) => (Y0 @ (sub @ Y1 @ (push @ Y2 @ id)))))) => (Y0 @ (lam @ Y1)))))))) @ X2)) = $true)) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f596])). 18.23/3.11 thf(f598,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X1 : (subst > term > subst > $o)] : (($true = (((!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((X1 @ id @ Y1 @ id) => (X1 @ id @ (Y0 @ id @ Y1) @ id)))) => (X1 @ id @ (lam @ (Y0 @ sh @ one)) @ id))))) => ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))) => (!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f597])). 18.23/3.11 thf(f599,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X1 : (subst > term > subst > $o)] : (($false = ((!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((X1 @ id @ Y1 @ id) => (X1 @ id @ (Y0 @ id @ Y1) @ id)))) => (X1 @ id @ (lam @ (Y0 @ sh @ one)) @ id))))))) | ((((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))) => (!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0))))))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f598])). 18.23/3.11 thf(f600,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X1 : (subst > term > subst > $o)] : (((((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))) => (!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0))))))) = $true) | ($false = (((^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((X1 @ id @ Y1 @ id) => (X1 @ id @ (Y0 @ id @ Y1) @ id)))) => (X1 @ id @ (lam @ (Y0 @ sh @ one)) @ id)))) @ (sK5 @ X1))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f599])). 18.23/3.11 thf(f601,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X1 : (subst > term > subst > $o)] : (($false = (((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sK5 @ X1 @ Y0 @ Y2) @ Y1) = (sK5 @ X1 @ (comp @ Y0 @ Y1) @ (sub @ Y2 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))) => (X1 @ id @ (lam @ (sK5 @ X1 @ sh @ one)) @ id))))) | ((((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))) => (!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0))))))) = $true)) )), 18.23/3.11 inference(beta-eta_normalization,[],[f600])). 18.23/3.11 thf(f602,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X1 : (subst > term > subst > $o)] : (((((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))) => (!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0))))))) = $true) | ($false = (((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sK5 @ X1 @ Y0 @ Y2) @ Y1) = (sK5 @ X1 @ (comp @ Y0 @ Y1) @ (sub @ Y2 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))) => (sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))))))) )), 18.23/3.11 inference(forward_demodulation,[],[f601,f526])). 18.23/3.11 thf(f603,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X1 : (subst > term > subst > $o)] : (($false = (((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sK5 @ X1 @ Y0 @ Y2) @ Y1) = (sK5 @ X1 @ (comp @ Y0 @ Y1) @ (sub @ Y2 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))) => (sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one))))))) | (((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f602])). 18.23/3.11 thf(f604,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X1 : (subst > term > subst > $o)] : ((((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))) => (sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f603])). 18.23/3.11 thf(f605,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X1 : (subst > term > subst > $o)] : ((((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sK5 @ X1 @ Y0 @ Y2) @ Y1) = (sK5 @ X1 @ (comp @ Y0 @ Y1) @ (sub @ Y2 @ Y1)))))))))) = $true) | (((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f603])). 18.23/3.11 thf(f606,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : (($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))))) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))) => (sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))))) | ($true = (((^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))) @ X3)))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f604])). 18.23/3.11 thf(f607,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : (($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))))) | ($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3))))) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))) => (sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f606])). 18.23/3.11 thf(f608,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o)] : ((((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true) | ((((^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (sK5 @ X1 @ Y0 @ Y2) @ Y1) = (sK5 @ X1 @ (comp @ Y0 @ Y1) @ (sub @ Y2 @ Y1)))))))) @ X3)) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))))))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f605])). 18.23/3.11 thf(f609,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o)] : (($true = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (sK5 @ X1 @ X3 @ Y1) @ Y0) = (sK5 @ X1 @ (comp @ X3 @ Y0) @ (sub @ Y1 @ Y0))))))))) | (((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f608])). 18.23/3.11 thf(f610,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : (($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3))))) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))) => (sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))))) | ($false = (((^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))) @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f607])). 18.23/3.11 thf(f611,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : (($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3))))) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))) => (sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))))) | ($false = (((X2 @ (sK6 @ X1 @ X2)) = (X1 @ id @ (sK6 @ X1 @ X2) @ id))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f610])). 18.23/3.11 thf(f612,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : ((((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | ($false = (((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))) => (sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))))) | ($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3)))))) )), 18.23/3.11 inference(iff_proxy_clausification,[],[f611])). 18.23/3.11 thf(f613,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X4 : subst] : (((((^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (sK5 @ X1 @ X3 @ Y1) @ Y0) = (sK5 @ X1 @ (comp @ X3 @ Y0) @ (sub @ Y1 @ Y0)))))) @ X4)) = $true) | (((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))))))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f609])). 18.23/3.11 thf(f614,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X4 : subst] : ((((!! @ term @ (^[Y0 : term]: ((sub @ (sK5 @ X1 @ X3 @ Y0) @ X4) = (sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ Y0 @ X4)))))) = $true) | (((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f613])). 18.23/3.11 thf(f615,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : (($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3))))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | (((sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))) = $false)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f612])). 18.23/3.11 thf(f616,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : (($true = ((!! @ term @ (^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id)))))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | ($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3)))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f612])). 18.23/3.11 thf(f617,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X4 : subst,X5 : term] : (((((^[Y0 : term]: ((sub @ (sK5 @ X1 @ X3 @ Y0) @ X4) = (sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ Y0 @ X4)))) @ X5)) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))))) | (((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true)) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f614])). 18.23/3.11 thf(f618,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X4 : subst,X5 : term] : (($true = (((sub @ (sK5 @ X1 @ X3 @ X5) @ X4) = (sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))))) | (((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true)) )), 18.23/3.11 inference(beta-eta_normalization,[],[f617])). 18.23/3.11 thf(f619,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : (($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3))))) | ($true = (((^[Y0 : term]: ((X1 @ id @ Y0 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ Y0) @ id))) @ X4))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f616])). 18.23/3.11 thf(f620,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : (($true = (((X1 @ id @ X4 @ id) => (X1 @ id @ (sK5 @ X1 @ id @ X4) @ id)))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | ($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3)))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f619])). 18.23/3.11 thf(f621,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : ((((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id))))))) = $false) | (((X2 @ (lam @ X3))) = $true) | (((sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))) = $false)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f615])). 18.23/3.11 thf(f622,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X4 : subst,X5 : term] : ((((!! @ term @ (^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))))) = $true) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))))) | (((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4)))) )), 18.23/3.11 inference(equality_proxy_clausification,[],[f618])). 18.23/3.11 thf(f623,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : (($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3))))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | ($true = (((sK0 @ X1 @ X4) => (X1 @ id @ (sK5 @ X1 @ id @ X4) @ id))))) )), 18.23/3.11 inference(forward_demodulation,[],[f620,f526])). 18.23/3.11 thf(f624,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : ((((sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))) = $false) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | ($false = (((^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id))))) @ (sK7 @ X3 @ X2)))) | (((X2 @ (lam @ X3))) = $true)) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f621])). 18.23/3.11 thf(f625,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : (((((X2 @ (sK7 @ X3 @ X2)) => (X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) = $false) | (((sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))) = $false) | (((X2 @ (lam @ X3))) = $true) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f624])). 18.23/3.11 thf(f626,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : (($true = (((^[Y0 : term]: ((!! @ term @ (^[Y1 : term]: ((X2 @ Y1) => (X2 @ (sub @ Y0 @ (push @ Y1 @ id)))))) => (X2 @ (lam @ Y0)))) @ X6))) | (((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4))) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))))))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f622])). 18.23/3.11 thf(f627,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : ((((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4))) | ($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id)))))) | ($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X6 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X6)))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f626])). 18.23/3.11 thf(f628,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : (($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X3))))) | ($true = (((sK0 @ X1 @ X4) => (sK0 @ X1 @ (sK5 @ X1 @ id @ X4))))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(forward_demodulation,[],[f623,f526])). 18.23/3.11 thf(f629,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : ((((sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))) = $false) | ($false = ((X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) | (((X2 @ (lam @ X3))) = $true) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f625])). 18.23/3.11 thf(f630,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o)] : ((((sK0 @ X1 @ (lam @ (sK5 @ X1 @ sh @ one)))) = $false) | (((X2 @ (lam @ X3))) = $true) | ($true = ((X2 @ (sK7 @ X3 @ X2)))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f625])). 18.23/3.11 thf(f631,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : ((((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4))) | ($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X6 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X6))))) | ($false = (((^[Y0 : term]: ((X2 @ Y0) = (X1 @ id @ Y0 @ id))) @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f627])). 18.23/3.11 thf(f632,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : (($false = (((X2 @ (sK6 @ X1 @ X2)) = (X1 @ id @ (sK6 @ X1 @ X2) @ id)))) | ($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X6 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X6))))) | (((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4)))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f631])). 18.23/3.11 thf(f633,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : (($true = (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X6 @ (push @ Y0 @ id)))))) => (X2 @ (lam @ X6))))) | (((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(iff_proxy_clausification,[],[f632])). 18.23/3.11 thf(f634,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : (($true = (((sK0 @ X1 @ X4) => (sK0 @ X1 @ (sK5 @ X1 @ id @ X4))))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id))))))) = $false) | (((X2 @ (lam @ X3))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f628])). 18.23/3.11 thf(f635,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : (($false = ((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X6 @ (push @ Y0 @ id)))))))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | (((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4))) | (((X2 @ (lam @ X6))) = $true)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f633])). 18.23/3.11 thf(f636,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : ((((sK0 @ X1 @ X4)) = $false) | (((X2 @ (lam @ X3))) = $true) | (((!! @ term @ (^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id))))))) = $false) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | ($true = ((sK0 @ X1 @ (sK5 @ X1 @ id @ X4))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f634])). 18.23/3.11 thf(f637,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : ((((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | (((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4))) | ($false = (((^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X6 @ (push @ Y0 @ id))))) @ (sK7 @ X6 @ X2)))) | (((X2 @ (lam @ X6))) = $true)) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f635])). 18.23/3.11 thf(f638,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : ((((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4))) | ((((X2 @ (sK7 @ X6 @ X2)) => (X2 @ (sub @ X6 @ (push @ (sK7 @ X6 @ X2) @ id))))) = $false) | (((X2 @ (lam @ X6))) = $true) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f637])). 18.23/3.11 thf(f639,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : ((((sK0 @ X1 @ X4)) = $false) | ($true = ((sK0 @ X1 @ (sK5 @ X1 @ id @ X4)))) | (((X2 @ (lam @ X3))) = $true) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2)))) | ($false = (((^[Y0 : term]: ((X2 @ Y0) => (X2 @ (sub @ X3 @ (push @ Y0 @ id))))) @ (sK7 @ X3 @ X2))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f636])). 18.23/3.11 thf(f640,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : (($true = ((sK0 @ X1 @ (sK5 @ X1 @ id @ X4)))) | (((sK0 @ X1 @ X4)) = $false) | (((X2 @ (lam @ X3))) = $true) | ((((X2 @ (sK7 @ X3 @ X2)) => (X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) = $false) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f639])). 18.23/3.11 thf(f641,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : ((((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4))) | (((X2 @ (sub @ X6 @ (push @ (sK7 @ X6 @ X2) @ id)))) = $false) | (((X2 @ (lam @ X6))) = $true) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f638])). 18.23/3.11 thf(f642,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : subst,X1 : (subst > term > subst > $o),X6 : term,X4 : subst,X5 : term] : ((((sK5 @ X1 @ (comp @ X3 @ X4) @ (sub @ X5 @ X4))) = ((sub @ (sK5 @ X1 @ X3 @ X5) @ X4))) | (((X2 @ (sK7 @ X6 @ X2))) = $true) | (((X2 @ (lam @ X6))) = $true) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f638])). 18.23/3.11 thf(f643,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : (($true = ((sK0 @ X1 @ (sK5 @ X1 @ id @ X4)))) | (((sK0 @ X1 @ X4)) = $false) | ($false = ((X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) | (((X2 @ (lam @ X3))) = $true) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f640])). 18.23/3.11 thf(f644,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X1 : (subst > term > subst > $o),X4 : term] : (($true = ((sK0 @ X1 @ (sK5 @ X1 @ id @ X4)))) | (((X2 @ (lam @ X3))) = $true) | (((sK0 @ X1 @ X4)) = $false) | ($true = ((X2 @ (sK7 @ X3 @ X2)))) | (((X1 @ id @ (sK6 @ X1 @ X2) @ id)) != ((X2 @ (sK6 @ X1 @ X2))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f640])). 18.23/3.11 thf(f650,plain,( 18.23/3.11 (((!! @ (subst > term > subst > $o) @ (^[Y0 : subst > term > subst > $o]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ Y4 @ Y2 @ (comp @ Y3 @ Y1)) => (Y0 @ (comp @ Y4 @ Y3) @ (sub @ Y2 @ Y3) @ Y1)))))))))) => ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1) @ Y4) => (Y0 @ Y3 @ Y2 @ (comp @ Y1 @ Y4))))))))))) => ((!! @ term @ (^[Y1 : term]: ((var @ (sub @ Y1 @ id)) => (Y0 @ id @ Y1 @ id)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y1 @ id) => ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (ap @ (sub @ Y1 @ id) @ Y2) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: (!! @ term @ (^[Y4 : term]: ((sub @ (Y1 @ Y2 @ Y4) @ Y3) = (Y1 @ (comp @ Y2 @ Y3) @ (sub @ Y4 @ Y3))))))))) => ((!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (Y1 @ id @ Y2) @ id)))) => (Y0 @ id @ (lam @ (Y1 @ sh @ one)) @ id))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ id @ Y1 @ id))))))))))) = $false)), 18.23/3.11 inference(forward_demodulation,[],[f482,f507])). 18.23/3.11 thf(f651,plain,( 18.23/3.11 ($false = (((^[Y0 : subst > term > subst > $o]: ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ Y4 @ Y2 @ (comp @ Y3 @ Y1)) => (Y0 @ (comp @ Y4 @ Y3) @ (sub @ Y2 @ Y3) @ Y1)))))))))) => ((!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: (!! @ subst @ (^[Y3 : subst]: (!! @ subst @ (^[Y4 : subst]: ((Y0 @ (comp @ Y3 @ Y1) @ (sub @ Y2 @ Y1) @ Y4) => (Y0 @ Y3 @ Y2 @ (comp @ Y1 @ Y4))))))))))) => ((!! @ term @ (^[Y1 : term]: ((var @ (sub @ Y1 @ id)) => (Y0 @ id @ Y1 @ id)))) => ((!! @ term @ (^[Y1 : term]: (!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y1 @ id) => ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (ap @ (sub @ Y1 @ id) @ Y2) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: (!! @ term @ (^[Y4 : term]: ((sub @ (Y1 @ Y2 @ Y4) @ Y3) = (Y1 @ (comp @ Y2 @ Y3) @ (sub @ Y4 @ Y3))))))))) => ((!! @ term @ (^[Y2 : term]: ((Y0 @ id @ Y2 @ id) => (Y0 @ id @ (Y1 @ id @ Y2) @ id)))) => (Y0 @ id @ (lam @ (Y1 @ sh @ one)) @ id))))) => (!! @ term @ (^[Y1 : term]: (Y0 @ id @ Y1 @ id))))))))) @ sK8)))), 18.23/3.11 inference(sigma_proxy_clausification,[],[f650])). 18.23/3.11 thf(f652,plain,( 18.23/3.11 ($false = (((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: ((sK8 @ Y3 @ Y1 @ (comp @ Y2 @ Y0)) => (sK8 @ (comp @ Y3 @ Y2) @ (sub @ Y1 @ Y2) @ Y0)))))))))) => ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: ((sK8 @ (comp @ Y2 @ Y0) @ (sub @ Y1 @ Y0) @ Y3) => (sK8 @ Y2 @ Y1 @ (comp @ Y0 @ Y3))))))))))) => ((!! @ term @ (^[Y0 : term]: ((var @ (sub @ Y0 @ id)) => (sK8 @ id @ Y0 @ id)))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y0 @ id) => ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (ap @ (sub @ Y0 @ id) @ Y1) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (Y0 @ id @ Y1) @ id)))) => (sK8 @ id @ (lam @ (Y0 @ sh @ one)) @ id))))) => (!! @ term @ (^[Y0 : term]: (sK8 @ id @ Y0 @ id))))))))))), 18.23/3.11 inference(beta-eta_normalization,[],[f651])). 18.23/3.11 thf(f653,plain,( 18.23/3.11 ($false = (((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: (!! @ subst @ (^[Y2 : subst]: (!! @ subst @ (^[Y3 : subst]: ((sK8 @ (comp @ Y2 @ Y0) @ (sub @ Y1 @ Y0) @ Y3) => (sK8 @ Y2 @ Y1 @ (comp @ Y0 @ Y3))))))))))) => ((!! @ term @ (^[Y0 : term]: ((var @ (sub @ Y0 @ id)) => (sK8 @ id @ Y0 @ id)))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y0 @ id) => ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (ap @ (sub @ Y0 @ id) @ Y1) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (Y0 @ id @ Y1) @ id)))) => (sK8 @ id @ (lam @ (Y0 @ sh @ one)) @ id))))) => (!! @ term @ (^[Y0 : term]: (sK8 @ id @ Y0 @ id)))))))))), 18.23/3.11 inference(imp_proxy_clausification,[],[f652])). 18.23/3.11 thf(f657,plain,( 18.23/3.11 ((((!! @ term @ (^[Y0 : term]: ((var @ (sub @ Y0 @ id)) => (sK8 @ id @ Y0 @ id)))) => ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y0 @ id) => ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (ap @ (sub @ Y0 @ id) @ Y1) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (Y0 @ id @ Y1) @ id)))) => (sK8 @ id @ (lam @ (Y0 @ sh @ one)) @ id))))) => (!! @ term @ (^[Y0 : term]: (sK8 @ id @ Y0 @ id))))))) = $false)), 18.23/3.11 inference(imp_proxy_clausification,[],[f653])). 18.23/3.11 thf(f661,plain,( 18.23/3.11 ($false = (((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y0 @ id) => ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (ap @ (sub @ Y0 @ id) @ Y1) @ id))))))) => ((!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (Y0 @ id @ Y1) @ id)))) => (sK8 @ id @ (lam @ (Y0 @ sh @ one)) @ id))))) => (!! @ term @ (^[Y0 : term]: (sK8 @ id @ Y0 @ id)))))))), 18.23/3.11 inference(imp_proxy_clausification,[],[f657])). 18.23/3.11 thf(f662,plain,( 18.23/3.11 ($true = ((!! @ term @ (^[Y0 : term]: ((var @ (sub @ Y0 @ id)) => (sK8 @ id @ Y0 @ id))))))), 18.23/3.11 inference(imp_proxy_clausification,[],[f657])). 18.23/3.11 thf(f667,plain,( 18.23/3.11 ($false = (((!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (Y0 @ id @ Y1) @ id)))) => (sK8 @ id @ (lam @ (Y0 @ sh @ one)) @ id))))) => (!! @ term @ (^[Y0 : term]: (sK8 @ id @ Y0 @ id))))))), 18.23/3.11 inference(imp_proxy_clausification,[],[f661])). 18.23/3.11 thf(f668,plain,( 18.23/3.11 ($true = ((!! @ term @ (^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y0 @ id) => ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (ap @ (sub @ Y0 @ id) @ Y1) @ id)))))))))), 18.23/3.11 inference(imp_proxy_clausification,[],[f661])). 18.23/3.11 thf(f669,plain,( 18.23/3.11 ( ! [X1 : term] : (($true = (((^[Y0 : term]: ((var @ (sub @ Y0 @ id)) => (sK8 @ id @ Y0 @ id))) @ X1)))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f662])). 18.23/3.11 thf(f670,plain,( 18.23/3.11 ( ! [X1 : term] : (($true = (((var @ (sub @ X1 @ id)) => (sK8 @ id @ X1 @ id))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f669])). 18.23/3.11 thf(f675,plain,( 18.23/3.11 ( ! [X1 : term] : (((((^[Y0 : term]: (!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y0 @ id) => ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (ap @ (sub @ Y0 @ id) @ Y1) @ id)))))) @ X1)) = $true)) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f668])). 18.23/3.11 thf(f676,plain,( 18.23/3.11 ( ! [X1 : term] : (($true = ((!! @ term @ (^[Y0 : term]: ((sK8 @ id @ X1 @ id) => ((sK8 @ id @ Y0 @ id) => (sK8 @ id @ (ap @ (sub @ X1 @ id) @ Y0) @ id)))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f675])). 18.23/3.11 thf(f677,plain,( 18.23/3.11 ($false = ((!! @ term @ (^[Y0 : term]: (sK8 @ id @ Y0 @ id)))))), 18.23/3.11 inference(imp_proxy_clausification,[],[f667])). 18.23/3.11 thf(f678,plain,( 18.23/3.11 ($true = ((!! @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (Y0 @ id @ Y1) @ id)))) => (sK8 @ id @ (lam @ (Y0 @ sh @ one)) @ id)))))))), 18.23/3.11 inference(imp_proxy_clausification,[],[f667])). 18.23/3.11 thf(f679,plain,( 18.23/3.11 ( ! [X1 : term] : (($true = (((var @ X1) => (sK8 @ id @ X1 @ id))))) )), 18.23/3.11 inference(forward_demodulation,[],[f670,f512])). 18.23/3.11 thf(f683,plain,( 18.23/3.11 ( ! [X2 : term,X1 : term] : (($true = (((^[Y0 : term]: ((sK8 @ id @ X1 @ id) => ((sK8 @ id @ Y0 @ id) => (sK8 @ id @ (ap @ (sub @ X1 @ id) @ Y0) @ id)))) @ X2)))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f676])). 18.23/3.11 thf(f684,plain,( 18.23/3.11 ( ! [X2 : term,X1 : term] : (($true = (((sK8 @ id @ X1 @ id) => ((sK8 @ id @ X2 @ id) => (sK8 @ id @ (ap @ (sub @ X1 @ id) @ X2) @ id)))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f683])). 18.23/3.11 thf(f685,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($true = (((^[Y0 : subst > term > term]: ((!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: (!! @ term @ (^[Y3 : term]: ((sub @ (Y0 @ Y1 @ Y3) @ Y2) = (Y0 @ (comp @ Y1 @ Y2) @ (sub @ Y3 @ Y2))))))))) => ((!! @ term @ (^[Y1 : term]: ((sK8 @ id @ Y1 @ id) => (sK8 @ id @ (Y0 @ id @ Y1) @ id)))) => (sK8 @ id @ (lam @ (Y0 @ sh @ one)) @ id)))) @ X1)))) )), 18.23/3.11 inference(pi_proxy_clausification,[],[f678])). 18.23/3.11 thf(f686,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (((((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (X1 @ Y0 @ Y2) @ Y1) = (X1 @ (comp @ Y0 @ Y1) @ (sub @ Y2 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: ((sK8 @ id @ Y0 @ id) => (sK8 @ id @ (X1 @ id @ Y0) @ id)))) => (sK8 @ id @ (lam @ (X1 @ sh @ one)) @ id)))) = $true)) )), 18.23/3.11 inference(beta-eta_normalization,[],[f685])). 18.23/3.11 thf(f687,plain,( 18.23/3.11 ($false = (((^[Y0 : term]: (sK8 @ id @ Y0 @ id)) @ sK9)))), 18.23/3.11 inference(sigma_proxy_clausification,[],[f677])). 18.23/3.11 thf(f688,plain,( 18.23/3.11 ($false = ((sK8 @ id @ sK9 @ id)))), 18.23/3.11 inference(beta-eta_normalization,[],[f687])). 18.23/3.11 thf(f689,plain,( 18.23/3.11 ( ! [X1 : term] : (($true = (((var @ X1) => (sK0 @ sK8 @ X1))))) )), 18.23/3.11 inference(forward_demodulation,[],[f679,f526])). 18.23/3.11 thf(f692,plain,( 18.23/3.11 ( ! [X2 : term,X1 : term] : (($true = (((sK0 @ sK8 @ X1) => ((sK8 @ id @ X2 @ id) => (sK8 @ id @ (ap @ (sub @ X1 @ id) @ X2) @ id)))))) )), 18.23/3.11 inference(forward_demodulation,[],[f684,f526])). 18.23/3.11 thf(f693,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($true = (((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (X1 @ Y0 @ Y2) @ Y1) = (X1 @ (comp @ Y0 @ Y1) @ (sub @ Y2 @ Y1))))))))) => ((!! @ term @ (^[Y0 : term]: ((sK8 @ id @ Y0 @ id) => (sK8 @ id @ (X1 @ id @ Y0) @ id)))) => (sK0 @ sK8 @ (lam @ (X1 @ sh @ one)))))))) )), 18.23/3.11 inference(forward_demodulation,[],[f686,f526])). 18.23/3.11 thf(f694,plain,( 18.23/3.11 ( ! [X1 : term] : (($true = ((sK0 @ sK8 @ X1))) | (((var @ X1)) = $false)) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f689])). 18.23/3.11 thf(f696,plain,( 18.23/3.11 ( ! [X2 : term,X1 : term] : (($true = (((sK0 @ sK8 @ X1) => ((sK0 @ sK8 @ X2) => (sK8 @ id @ (ap @ (sub @ X1 @ id) @ X2) @ id)))))) )), 18.23/3.11 inference(forward_demodulation,[],[f692,f526])). 18.23/3.11 thf(f697,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (X1 @ Y0 @ Y2) @ Y1) = (X1 @ (comp @ Y0 @ Y1) @ (sub @ Y2 @ Y1))))))))))) | ($true = (((!! @ term @ (^[Y0 : term]: ((sK8 @ id @ Y0 @ id) => (sK8 @ id @ (X1 @ id @ Y0) @ id)))) => (sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f693])). 18.23/3.11 thf(f698,plain,( 18.23/3.11 ( ! [X2 : term,X1 : term] : (($true = (((sK0 @ sK8 @ X1) => ((sK0 @ sK8 @ X2) => (sK0 @ sK8 @ (ap @ (sub @ X1 @ id) @ X2))))))) )), 18.23/3.11 inference(forward_demodulation,[],[f696,f526])). 18.23/3.11 thf(f699,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($false = (((^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: (!! @ term @ (^[Y2 : term]: ((sub @ (X1 @ Y0 @ Y2) @ Y1) = (X1 @ (comp @ Y0 @ Y1) @ (sub @ Y2 @ Y1)))))))) @ (sK10 @ X1)))) | ($true = (((!! @ term @ (^[Y0 : term]: ((sK8 @ id @ Y0 @ id) => (sK8 @ id @ (X1 @ id @ Y0) @ id)))) => (sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f697])). 18.23/3.11 thf(f700,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($true = (((!! @ term @ (^[Y0 : term]: ((sK8 @ id @ Y0 @ id) => (sK8 @ id @ (X1 @ id @ Y0) @ id)))) => (sK0 @ sK8 @ (lam @ (X1 @ sh @ one)))))) | ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0)))))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f699])). 18.23/3.11 thf(f701,plain,( 18.23/3.11 ( ! [X2 : term,X1 : term] : (($true = (((sK0 @ sK8 @ X1) => ((sK0 @ sK8 @ X2) => (sK0 @ sK8 @ (ap @ X1 @ X2))))))) )), 18.23/3.11 inference(forward_demodulation,[],[f698,f512])). 18.23/3.11 thf(f702,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($false = ((!! @ term @ (^[Y0 : term]: ((sK8 @ id @ Y0 @ id) => (sK8 @ id @ (X1 @ id @ Y0) @ id)))))) | ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0)))))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f700])). 18.23/3.11 thf(f703,plain,( 18.23/3.11 ( ! [X2 : term,X1 : term] : (($false = ((sK0 @ sK8 @ X1))) | ($true = (((sK0 @ sK8 @ X2) => (sK0 @ sK8 @ (ap @ X1 @ X2)))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f701])). 18.23/3.11 thf(f704,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0))))))))) | ((((^[Y0 : term]: ((sK8 @ id @ Y0 @ id) => (sK8 @ id @ (X1 @ id @ Y0) @ id))) @ (sK11 @ X1))) = $false) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one)))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f702])). 18.23/3.11 thf(f705,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ((((sK8 @ id @ (sK11 @ X1) @ id) => (sK8 @ id @ (X1 @ id @ (sK11 @ X1)) @ id))) = $false) | ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0)))))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f704])). 18.23/3.11 thf(f706,plain,( 18.23/3.11 ( ! [X2 : term,X1 : term] : (($true = ((sK0 @ sK8 @ (ap @ X1 @ X2)))) | ($false = ((sK0 @ sK8 @ X2))) | ($false = ((sK0 @ sK8 @ X1)))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f703])). 18.23/3.11 thf(f707,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0))))))))) | ($false = (((sK0 @ sK8 @ (sK11 @ X1)) => (sK8 @ id @ (X1 @ id @ (sK11 @ X1)) @ id))))) )), 18.23/3.11 inference(forward_demodulation,[],[f705,f526])). 18.23/3.11 thf(f708,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($false = (((sK0 @ sK8 @ (sK11 @ X1)) => (sK0 @ sK8 @ (X1 @ id @ (sK11 @ X1)))))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0)))))))))) )), 18.23/3.11 inference(forward_demodulation,[],[f707,f526])). 18.23/3.11 thf(f709,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($false = ((sK0 @ sK8 @ (X1 @ id @ (sK11 @ X1))))) | ($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0)))))))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f708])). 18.23/3.11 thf(f710,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($false = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0))))))))) | ($true = ((sK0 @ sK8 @ (sK11 @ X1)))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one)))))) )), 18.23/3.11 inference(imp_proxy_clausification,[],[f708])). 18.23/3.11 thf(f711,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($false = ((sK0 @ sK8 @ (X1 @ id @ (sK11 @ X1))))) | ($false = (((^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0)))))) @ (sK12 @ X1))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f709])). 18.23/3.11 thf(f712,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : ((((!! @ term @ (^[Y0 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y0) @ (sK12 @ X1)) = (X1 @ (comp @ (sK10 @ X1) @ (sK12 @ X1)) @ (sub @ Y0 @ (sK12 @ X1))))))) = $false) | ($false = ((sK0 @ sK8 @ (X1 @ id @ (sK11 @ X1))))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one)))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f711])). 18.23/3.11 thf(f713,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($false = (((^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y1) @ Y0) = (X1 @ (comp @ (sK10 @ X1) @ Y0) @ (sub @ Y1 @ Y0)))))) @ (sK12 @ X1)))) | ($true = ((sK0 @ sK8 @ (sK11 @ X1)))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one)))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f710])). 18.23/3.11 thf(f714,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : ((((!! @ term @ (^[Y0 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y0) @ (sK12 @ X1)) = (X1 @ (comp @ (sK10 @ X1) @ (sK12 @ X1)) @ (sub @ Y0 @ (sK12 @ X1))))))) = $false) | ($true = ((sK0 @ sK8 @ (sK11 @ X1)))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one)))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f713])). 18.23/3.11 thf(f715,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($false = (((^[Y0 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y0) @ (sK12 @ X1)) = (X1 @ (comp @ (sK10 @ X1) @ (sK12 @ X1)) @ (sub @ Y0 @ (sK12 @ X1))))) @ (sK13 @ X1)))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($false = ((sK0 @ sK8 @ (X1 @ id @ (sK11 @ X1)))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f712])). 18.23/3.11 thf(f716,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($false = ((sK0 @ sK8 @ (X1 @ id @ (sK11 @ X1))))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($false = (((sub @ (X1 @ (sK10 @ X1) @ (sK13 @ X1)) @ (sK12 @ X1)) = (X1 @ (comp @ (sK10 @ X1) @ (sK12 @ X1)) @ (sub @ (sK13 @ X1) @ (sK12 @ X1))))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f715])). 18.23/3.11 thf(f717,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($true = ((sK0 @ sK8 @ (sK11 @ X1)))) | ($false = (((^[Y0 : term]: ((sub @ (X1 @ (sK10 @ X1) @ Y0) @ (sK12 @ X1)) = (X1 @ (comp @ (sK10 @ X1) @ (sK12 @ X1)) @ (sub @ Y0 @ (sK12 @ X1))))) @ (sK13 @ X1))))) )), 18.23/3.11 inference(sigma_proxy_clausification,[],[f714])). 18.23/3.11 thf(f718,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : (($false = (((sub @ (X1 @ (sK10 @ X1) @ (sK13 @ X1)) @ (sK12 @ X1)) = (X1 @ (comp @ (sK10 @ X1) @ (sK12 @ X1)) @ (sub @ (sK13 @ X1) @ (sK12 @ X1)))))) | ($true = ((sK0 @ sK8 @ (sK11 @ X1)))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one)))))) )), 18.23/3.11 inference(beta-eta_normalization,[],[f717])). 18.23/3.11 thf(f719,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : ((((X1 @ (comp @ (sK10 @ X1) @ (sK12 @ X1)) @ (sub @ (sK13 @ X1) @ (sK12 @ X1)))) != ((sub @ (X1 @ (sK10 @ X1) @ (sK13 @ X1)) @ (sK12 @ X1)))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($false = ((sK0 @ sK8 @ (X1 @ id @ (sK11 @ X1)))))) )), 18.23/3.11 inference(equality_proxy_clausification,[],[f716])). 18.23/3.11 thf(f720,plain,( 18.23/3.11 ( ! [X1 : (subst > term > term)] : ((((X1 @ (comp @ (sK10 @ X1) @ (sK12 @ X1)) @ (sub @ (sK13 @ X1) @ (sK12 @ X1)))) != ((sub @ (X1 @ (sK10 @ X1) @ (sK13 @ X1)) @ (sK12 @ X1)))) | ($true = ((sK0 @ sK8 @ (lam @ (X1 @ sh @ one))))) | ($true = ((sK0 @ sK8 @ (sK11 @ X1))))) )), 18.23/3.11 inference(equality_proxy_clausification,[],[f718])). 18.23/3.11 thf(f721,plain,( 18.23/3.11 ($false = ((sK0 @ sK8 @ sK9)))), 18.23/3.11 inference(superposition,[],[f688,f526])). 18.23/3.11 thf(f753,definition,( 18.23/3.11 spl14_1 <=> (((var @ (sK4 @ (sK0 @ sK8)))) = $true)), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition])). 18.23/3.11 thf(f755,plain,( 18.23/3.11 (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ~spl14_1), 18.23/3.11 inference(avatar_component_clause,[],[f753])). 18.23/3.11 thf(f761,definition,( 18.23/3.11 spl14_3 <=> ($false = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8))))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition])). 18.23/3.11 thf(f762,plain,( 18.23/3.11 ($false != ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | spl14_3), 18.23/3.11 inference(avatar_component_clause,[],[f761])). 18.23/3.11 thf(f763,plain,( 18.23/3.11 ($false = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ~spl14_3), 18.23/3.11 inference(avatar_component_clause,[],[f761])). 18.23/3.11 thf(f765,definition,( 18.23/3.11 spl14_4 <=> ! [X0 : term] : ($true = ((sK0 @ sK8 @ X0)))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition])). 18.23/3.11 thf(f766,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ X0)))) ) | ~spl14_4), 18.23/3.11 inference(avatar_component_clause,[],[f765])). 18.23/3.11 thf(f769,definition,( 18.23/3.11 spl14_5 <=> ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8)))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition])). 18.23/3.11 thf(f771,plain,( 18.23/3.11 ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ~spl14_5), 18.23/3.11 inference(avatar_component_clause,[],[f769])). 18.23/3.11 thf(f777,definition,( 18.23/3.11 spl14_7 <=> ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8)))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition])). 18.23/3.11 thf(f779,plain,( 18.23/3.11 ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ~spl14_7), 18.23/3.11 inference(avatar_component_clause,[],[f777])). 18.23/3.11 thf(f782,definition,( 18.23/3.11 spl14_8 <=> ($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8)))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_8])],[avatar_definition])). 18.23/3.11 thf(f784,plain,( 18.23/3.11 ($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ~spl14_8), 18.23/3.11 inference(avatar_component_clause,[],[f782])). 18.23/3.11 thf(f795,plain,( 18.23/3.11 ($true = $false) | ~spl14_4), 18.23/3.11 inference(superposition,[],[f766,f721])). 18.23/3.11 thf(f823,plain,( 18.23/3.11 $false | ~spl14_4), 18.23/3.11 inference(trivial_inequality_removal,[],[f795])). 18.23/3.11 thf(f824,plain,( 18.23/3.11 ~spl14_4), 18.23/3.11 inference(avatar_contradiction_clause,[],[f823])). 18.23/3.11 thf(f854,definition,( 18.23/3.11 spl14_9 <=> ! [X0 : (term > $o),X1 : term] : ((((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | (((X0 @ (lam @ X1))) = $true) | (((X0 @ (sK7 @ X1 @ X0))) = $true))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition])). 18.23/3.11 thf(f855,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : ((((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | (((X0 @ (sK7 @ X1 @ X0))) = $true) | (((X0 @ (lam @ X1))) = $true)) ) | ~spl14_9), 18.23/3.11 inference(avatar_component_clause,[],[f854])). 18.23/3.11 thf(f870,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | ($true = $false) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($false = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ($false = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8)))))) )), 18.23/3.11 inference(superposition,[],[f706,f571])). 18.23/3.11 thf(f873,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = $false) | ($false = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0)))) )), 18.23/3.11 inference(superposition,[],[f570,f706])). 18.23/3.11 thf(f876,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | ($false = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8)))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f873])). 18.23/3.11 thf(f877,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ($true = ((sK0 @ sK8 @ X0))) | ($false = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8)))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f870])). 18.23/3.11 thf(f886,definition,( 18.23/3.11 spl14_11 <=> ! [X0 : (term > $o),X1 : term] : ((((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | (((X0 @ (lam @ X1))) = $true) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_11])],[avatar_definition])). 18.23/3.11 thf(f887,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : ((((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | (((X0 @ (lam @ X1))) = $true) | (((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false)) ) | ~spl14_11), 18.23/3.11 inference(avatar_component_clause,[],[f886])). 18.23/3.11 thf(f898,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : (($true = ((var @ (sK4 @ X0)))) | (((X0 @ X1)) = $false) | ($true = ((X0 @ (sK2 @ X0)))) | ($true != $true) | ($true = ((X0 @ (sub @ (sK1 @ X0) @ (push @ X1 @ id)))))) )), 18.23/3.11 inference(equality_factoring,[],[f588])). 18.23/3.11 thf(f899,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : (($true = ((X0 @ (sub @ (sK1 @ X0) @ (push @ X1 @ id))))) | ($true = ((X0 @ (sK2 @ X0)))) | ($true = ((var @ (sK4 @ X0)))) | (((X0 @ X1)) = $false)) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f898])). 18.23/3.11 thf(f900,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : (($true = ((X0 @ (sub @ (sK1 @ X0) @ (push @ X1 @ id))))) | ($true != $true) | (((X0 @ X1)) = $false) | ($false = ((X0 @ (sK4 @ X0)))) | ($false = ((X0 @ (ap @ (sK3 @ X0) @ (sK2 @ X0)))))) )), 18.23/3.11 inference(equality_factoring,[],[f589])). 18.23/3.11 thf(f901,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : (($true = ((X0 @ (sub @ (sK1 @ X0) @ (push @ X1 @ id))))) | (((X0 @ X1)) = $false) | ($false = ((X0 @ (ap @ (sK3 @ X0) @ (sK2 @ X0))))) | ($false = ((X0 @ (sK4 @ X0))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f900])). 18.23/3.11 thf(f902,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : ((((X0 @ X1)) = $false) | ($false = ((X0 @ (ap @ (sK3 @ X0) @ (sK2 @ X0))))) | ($true != $true) | ($true = ((var @ (sK4 @ X0)))) | ($true = ((X0 @ (sub @ (sK1 @ X0) @ (push @ X1 @ id)))))) )), 18.23/3.11 inference(equality_factoring,[],[f590])). 18.23/3.11 thf(f903,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : (($true = ((X0 @ (sub @ (sK1 @ X0) @ (push @ X1 @ id))))) | ($false = ((X0 @ (ap @ (sK3 @ X0) @ (sK2 @ X0))))) | (((X0 @ X1)) = $false) | ($true = ((var @ (sK4 @ X0))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f902])). 18.23/3.11 thf(f932,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : ((((X0 @ (sK6 @ sK8 @ X0))) != ((sK0 @ sK8 @ (sK6 @ sK8 @ X0)))) | (((X0 @ (lam @ X1))) = $true) | (((X0 @ (sK7 @ X1 @ X0))) = $true)) ) | ~spl14_9), 18.23/3.11 inference(superposition,[],[f855,f526])). 18.23/3.11 thf(f938,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (lam @ X0)))) | (((sK0 @ sK8 @ (sK7 @ X0 @ (sK0 @ sK8)))) = $true)) ) | ~spl14_9), 18.23/3.11 inference(equality_resolution,[],[f932])). 18.23/3.11 thf(f942,definition,( 18.23/3.11 spl14_12 <=> ! [X0 : term] : (($true = ((sK0 @ sK8 @ (lam @ X0)))) | (((sK0 @ sK8 @ (sK7 @ X0 @ (sK0 @ sK8)))) = $true))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition])). 18.23/3.11 thf(f943,plain,( 18.23/3.11 ( ! [X0 : term] : ((((sK0 @ sK8 @ (sK7 @ X0 @ (sK0 @ sK8)))) = $true) | ($true = ((sK0 @ sK8 @ (lam @ X0))))) ) | ~spl14_12), 18.23/3.11 inference(avatar_component_clause,[],[f942])). 18.23/3.11 thf(f1015,plain,( 18.23/3.11 ( ! [X2 : term,X0 : (subst > term > subst > $o),X1 : (term > $o)] : ((((X0 @ id @ (sK6 @ X0 @ X1) @ id)) != ((X1 @ (sK6 @ X0 @ X1)))) | (((X1 @ (lam @ X2))) = $true) | ($false = ((X1 @ (sub @ X2 @ (push @ (sK7 @ X2 @ X1) @ id))))) | ($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ X0))))) | ($true = ((sK0 @ sK8 @ (lam @ (sK5 @ X0 @ sh @ one))))) | (((sub @ (sK5 @ X0 @ (sK10 @ (sK5 @ X0)) @ (sK13 @ (sK5 @ X0))) @ (sK12 @ (sK5 @ X0)))) != ((sub @ (sK5 @ X0 @ (sK10 @ (sK5 @ X0)) @ (sK13 @ (sK5 @ X0))) @ (sK12 @ (sK5 @ X0)))))) )), 18.23/3.11 inference(superposition,[],[f720,f641])). 18.23/3.11 thf(f1016,plain,( 18.23/3.11 ( ! [X2 : term,X0 : (subst > term > subst > $o),X1 : (term > $o)] : (($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ X0))))) | ($true = ((sK0 @ sK8 @ (lam @ (sK5 @ X0 @ sh @ one))))) | (((X0 @ id @ (sK6 @ X0 @ X1) @ id)) != ((X1 @ (sK6 @ X0 @ X1)))) | (((sub @ (sK5 @ X0 @ (sK10 @ (sK5 @ X0)) @ (sK13 @ (sK5 @ X0))) @ (sK12 @ (sK5 @ X0)))) != ((sub @ (sK5 @ X0 @ (sK10 @ (sK5 @ X0)) @ (sK13 @ (sK5 @ X0))) @ (sK12 @ (sK5 @ X0))))) | ($true = ((X1 @ (sK7 @ X2 @ X1)))) | (((X1 @ (lam @ X2))) = $true)) )), 18.23/3.11 inference(superposition,[],[f720,f642])). 18.23/3.11 thf(f1018,plain,( 18.23/3.11 ( ! [X2 : term,X0 : (subst > term > subst > $o),X1 : (term > $o)] : (($true = ((sK0 @ sK8 @ (lam @ (sK5 @ X0 @ sh @ one))))) | ($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ X0))))) | ($true = ((X1 @ (sK7 @ X2 @ X1)))) | (((X1 @ (lam @ X2))) = $true) | (((X0 @ id @ (sK6 @ X0 @ X1) @ id)) != ((X1 @ (sK6 @ X0 @ X1))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f1016])). 18.23/3.11 thf(f1021,plain,( 18.23/3.11 ( ! [X2 : term,X0 : (subst > term > subst > $o),X1 : (term > $o)] : (($true = ((sK0 @ sK8 @ (lam @ (sK5 @ X0 @ sh @ one))))) | ($false = ((X1 @ (sub @ X2 @ (push @ (sK7 @ X2 @ X1) @ id))))) | ($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ X0))))) | (((X1 @ (lam @ X2))) = $true) | (((X0 @ id @ (sK6 @ X0 @ X1) @ id)) != ((X1 @ (sK6 @ X0 @ X1))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f1015])). 18.23/3.11 thf(f1033,plain,( 18.23/3.11 ( ! [X2 : term,X0 : (subst > term > subst > $o),X1 : (term > $o)] : ((((sK0 @ sK8 @ (sK5 @ X0 @ id @ (sK11 @ (sK5 @ X0))))) = $false) | (((X1 @ (lam @ X2))) = $true) | (((X0 @ id @ (sK6 @ X0 @ X1) @ id)) != ((X1 @ (sK6 @ X0 @ X1)))) | ($true = ((sK0 @ sK8 @ (lam @ (sK5 @ X0 @ sh @ one))))) | (((sub @ (sK5 @ X0 @ (sK10 @ (sK5 @ X0)) @ (sK13 @ (sK5 @ X0))) @ (sK12 @ (sK5 @ X0)))) != ((sub @ (sK5 @ X0 @ (sK10 @ (sK5 @ X0)) @ (sK13 @ (sK5 @ X0))) @ (sK12 @ (sK5 @ X0))))) | ($false = ((X1 @ (sub @ X2 @ (push @ (sK7 @ X2 @ X1) @ id)))))) )), 18.23/3.11 inference(superposition,[],[f719,f641])). 18.23/3.11 thf(f1034,plain,( 18.23/3.11 ( ! [X2 : term,X0 : (subst > term > subst > $o),X1 : (term > $o)] : ((((X0 @ id @ (sK6 @ X0 @ X1) @ id)) != ((X1 @ (sK6 @ X0 @ X1)))) | (((sub @ (sK5 @ X0 @ (sK10 @ (sK5 @ X0)) @ (sK13 @ (sK5 @ X0))) @ (sK12 @ (sK5 @ X0)))) != ((sub @ (sK5 @ X0 @ (sK10 @ (sK5 @ X0)) @ (sK13 @ (sK5 @ X0))) @ (sK12 @ (sK5 @ X0))))) | ($true = ((sK0 @ sK8 @ (lam @ (sK5 @ X0 @ sh @ one))))) | (((sK0 @ sK8 @ (sK5 @ X0 @ id @ (sK11 @ (sK5 @ X0))))) = $false) | (((X1 @ (lam @ X2))) = $true) | ($true = ((X1 @ (sK7 @ X2 @ X1))))) )), 18.23/3.11 inference(superposition,[],[f719,f642])). 18.23/3.11 thf(f1035,plain,( 18.23/3.11 ( ! [X2 : term,X0 : (subst > term > subst > $o),X1 : (term > $o)] : ((((sK0 @ sK8 @ (sK5 @ X0 @ id @ (sK11 @ (sK5 @ X0))))) = $false) | ($true = ((sK0 @ sK8 @ (lam @ (sK5 @ X0 @ sh @ one))))) | (((X1 @ (lam @ X2))) = $true) | ($true = ((X1 @ (sK7 @ X2 @ X1)))) | (((X0 @ id @ (sK6 @ X0 @ X1) @ id)) != ((X1 @ (sK6 @ X0 @ X1))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f1034])). 18.23/3.11 thf(f1039,plain,( 18.23/3.11 ( ! [X2 : term,X0 : (subst > term > subst > $o),X1 : (term > $o)] : ((((sK0 @ sK8 @ (sK5 @ X0 @ id @ (sK11 @ (sK5 @ X0))))) = $false) | ($true = ((sK0 @ sK8 @ (lam @ (sK5 @ X0 @ sh @ one))))) | ($false = ((X1 @ (sub @ X2 @ (push @ (sK7 @ X2 @ X1) @ id))))) | (((X1 @ (lam @ X2))) = $true) | (((X0 @ id @ (sK6 @ X0 @ X1) @ id)) != ((X1 @ (sK6 @ X0 @ X1))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f1033])). 18.23/3.11 thf(f1144,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : (($true = ((X2 @ (sK7 @ X3 @ X2)))) | (((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | ($true = $false) | ($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8))))) | (((X0 @ (sK7 @ X1 @ X0))) = $true) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | (((X0 @ (lam @ X1))) = $true) | (((X2 @ (lam @ X3))) = $true)) )), 18.23/3.11 inference(superposition,[],[f1018,f630])). 18.23/3.11 thf(f1148,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : ((((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | ($true = ((X2 @ (sK7 @ X3 @ X2)))) | ($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8))))) | (((X0 @ (lam @ X1))) = $true) | (((X2 @ (lam @ X3))) = $true) | (((X0 @ (sK7 @ X1 @ X0))) = $true)) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f1144])). 18.23/3.11 thf(f1154,definition,( 18.23/3.11 spl14_17 <=> ($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8)))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_17])],[avatar_definition])). 18.23/3.11 thf(f1156,plain,( 18.23/3.11 ($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8))))) | ~spl14_17), 18.23/3.11 inference(avatar_component_clause,[],[f1154])). 18.23/3.11 thf(f1157,plain,( 18.23/3.11 spl14_9 | spl14_9 | spl14_17), 18.23/3.11 inference(avatar_split_clause,[],[f1148,f1154,f854,f854])). 18.23/3.11 thf(f1161,plain,( 18.23/3.11 spl14_12 | ~spl14_9), 18.23/3.11 inference(avatar_split_clause,[],[f938,f854,f942])). 18.23/3.11 thf(f1241,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : (($true = $false) | (((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | ($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8))))) | (((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | (((X0 @ (lam @ X1))) = $true) | ($false = ((X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | (((X2 @ (lam @ X3))) = $true)) )), 18.23/3.11 inference(superposition,[],[f1021,f629])). 18.23/3.11 thf(f1248,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : (($true = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8))))) | (((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | (((X0 @ (lam @ X1))) = $true) | ($false = ((X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) | (((X2 @ (lam @ X3))) = $true) | (((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f1241])). 18.23/3.11 thf(f1252,plain,( 18.23/3.11 spl14_17 | spl14_11 | spl14_11), 18.23/3.11 inference(avatar_split_clause,[],[f1248,f886,f886,f1154])). 18.23/3.11 thf(f1255,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : ((((X0 @ (sK6 @ sK8 @ X0))) != ((sK0 @ sK8 @ (sK6 @ sK8 @ X0)))) | (((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | (((X0 @ (lam @ X1))) = $true)) ) | ~spl14_11), 18.23/3.11 inference(superposition,[],[f887,f526])). 18.23/3.11 thf(f1261,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (lam @ X0)))) | (((sK0 @ sK8 @ (sub @ X0 @ (push @ (sK7 @ X0 @ (sK0 @ sK8)) @ id)))) = $false)) ) | ~spl14_11), 18.23/3.11 inference(equality_resolution,[],[f1255])). 18.23/3.11 thf(f1265,definition,( 18.23/3.11 spl14_18 <=> ! [X0 : term] : ((((sK0 @ sK8 @ (sub @ X0 @ (push @ (sK7 @ X0 @ (sK0 @ sK8)) @ id)))) = $false) | ($true = ((sK0 @ sK8 @ (lam @ X0)))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_18])],[avatar_definition])). 18.23/3.11 thf(f1266,plain,( 18.23/3.11 ( ! [X0 : term] : ((((sK0 @ sK8 @ (sub @ X0 @ (push @ (sK7 @ X0 @ (sK0 @ sK8)) @ id)))) = $false) | ($true = ((sK0 @ sK8 @ (lam @ X0))))) ) | ~spl14_18), 18.23/3.11 inference(avatar_component_clause,[],[f1265])). 18.23/3.11 thf(f1268,plain,( 18.23/3.11 spl14_18 | ~spl14_11), 18.23/3.11 inference(avatar_split_clause,[],[f1261,f886,f1265])). 18.23/3.11 thf(f1274,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : (($false = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8))))) | (((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true) | (((X0 @ (lam @ X1))) = $true) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | ($true = $false) | ($true = ((X2 @ (sK7 @ X3 @ X2)))) | (((X0 @ (sK7 @ X1 @ X0))) = $true) | (((X2 @ (lam @ X3))) = $true) | (((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id)))) )), 18.23/3.11 inference(superposition,[],[f644,f1035])). 18.23/3.11 thf(f1275,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : ((((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true) | (((X2 @ (lam @ X3))) = $true) | (((X0 @ (lam @ X1))) = $true) | (((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | ($true = ((X2 @ (sK7 @ X3 @ X2)))) | (((X0 @ (sK7 @ X1 @ X0))) = $true) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | ($false = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8)))))) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f1274])). 18.23/3.11 thf(f1285,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : ((((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | (((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | ($false = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8))))) | (((X0 @ (lam @ X1))) = $true) | ($true = $false) | ($false = ((X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) | (((X2 @ (lam @ X3))) = $true) | (((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true) | (((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id)))) )), 18.23/3.11 inference(superposition,[],[f643,f1039])). 18.23/3.11 thf(f1292,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : ((((X2 @ (lam @ X3))) = $true) | ($false = ((X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) | (((X0 @ (lam @ X1))) = $true) | (((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | (((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | ($false = ((sK0 @ sK8 @ (sK11 @ (sK5 @ sK8))))) | (((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true)) )), 18.23/3.11 inference(trivial_inequality_removal,[],[f1285])). 18.23/3.11 thf(f1295,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : ((((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | ($false = ((X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) | (((X2 @ (lam @ X3))) = $true) | ($true = $false) | (((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | (((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true) | (((X0 @ (lam @ X1))) = $true) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0))))) ) | ~spl14_17), 18.23/3.11 inference(forward_demodulation,[],[f1292,f1156])). 18.23/3.11 thf(f1296,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : ((((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | ($false = ((X2 @ (sub @ X3 @ (push @ (sK7 @ X3 @ X2) @ id))))) | (((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | (((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true) | (((X0 @ (lam @ X1))) = $true) | (((X2 @ (lam @ X3))) = $true) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0))))) ) | ~spl14_17), 18.23/3.11 inference(trivial_inequality_removal,[],[f1295])). 18.23/3.11 thf(f1298,definition,( 18.23/3.11 spl14_19 <=> (((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true)), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_19])],[avatar_definition])). 18.23/3.11 thf(f1300,plain,( 18.23/3.11 (((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true) | ~spl14_19), 18.23/3.11 inference(avatar_component_clause,[],[f1298])). 18.23/3.11 thf(f1302,plain,( 18.23/3.11 spl14_11 | spl14_19 | spl14_11 | ~spl14_17), 18.23/3.11 inference(avatar_split_clause,[],[f1296,f1154,f886,f1298,f886])). 18.23/3.11 thf(f1304,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | ($true = $false) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8))))))) ) | ~spl14_18), 18.23/3.11 inference(superposition,[],[f1266,f585])). 18.23/3.11 thf(f1305,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = $false) | ($true = ((sK0 @ sK8 @ X0))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8))))))) ) | ~spl14_18), 18.23/3.11 inference(superposition,[],[f1266,f586])). 18.23/3.11 thf(f1313,plain,( 18.23/3.11 ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = $false) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ~spl14_18), 18.23/3.11 inference(superposition,[],[f1266,f899])). 18.23/3.11 thf(f1314,plain,( 18.23/3.11 ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ($true = $false) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (ap @ (sK3 @ (sK0 @ sK8)) @ (sK2 @ (sK0 @ sK8)))))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ~spl14_18), 18.23/3.11 inference(superposition,[],[f1266,f901])). 18.23/3.11 thf(f1319,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = $false)) ) | ~spl14_18), 18.23/3.11 inference(superposition,[],[f587,f1266])). 18.23/3.11 thf(f1328,plain,( 18.23/3.11 (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($true = $false) | ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ($false = ((sK0 @ sK8 @ (ap @ (sK3 @ (sK0 @ sK8)) @ (sK2 @ (sK0 @ sK8)))))) | ~spl14_18), 18.23/3.11 inference(superposition,[],[f903,f1266])). 18.23/3.11 thf(f1337,plain,( 18.23/3.11 ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($false = ((sK0 @ sK8 @ (ap @ (sK3 @ (sK0 @ sK8)) @ (sK2 @ (sK0 @ sK8)))))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ~spl14_18), 18.23/3.11 inference(trivial_inequality_removal,[],[f1328])). 18.23/3.11 thf(f1342,plain,( 18.23/3.11 (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (ap @ (sK3 @ (sK0 @ sK8)) @ (sK2 @ (sK0 @ sK8)))))) | ~spl14_18), 18.23/3.11 inference(trivial_inequality_removal,[],[f1314])). 18.23/3.11 thf(f1346,plain,( 18.23/3.11 ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ~spl14_18), 18.23/3.11 inference(trivial_inequality_removal,[],[f1313])). 18.23/3.11 thf(f1347,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = ((sK0 @ sK8 @ X0))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true)) ) | ~spl14_18), 18.23/3.11 inference(trivial_inequality_removal,[],[f1304])). 18.23/3.11 thf(f1353,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false)) ) | ~spl14_18), 18.23/3.11 inference(trivial_inequality_removal,[],[f1305])). 18.23/3.11 thf(f1354,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ X0))) | ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8)))))) ) | ~spl14_18), 18.23/3.11 inference(trivial_inequality_removal,[],[f1319])). 18.23/3.11 thf(f1387,plain,( 18.23/3.11 ($true = $false) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | (~spl14_3 | ~spl14_18)), 18.23/3.11 inference(forward_demodulation,[],[f1346,f763])). 18.23/3.11 thf(f1388,plain,( 18.23/3.11 (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | (~spl14_3 | ~spl14_18)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1387])). 18.23/3.11 thf(f1389,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($true = $false) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = ((sK0 @ sK8 @ X0)))) ) | (~spl14_3 | ~spl14_18)), 18.23/3.11 inference(forward_demodulation,[],[f1347,f763])). 18.23/3.11 thf(f1390,plain,( 18.23/3.11 ( ! [X0 : term] : ((((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($true = ((sK0 @ sK8 @ X0)))) ) | (~spl14_3 | ~spl14_18)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1389])). 18.23/3.11 thf(f1399,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($true = $false) | ($true = ((sK0 @ sK8 @ X0))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false)) ) | (~spl14_3 | ~spl14_18)), 18.23/3.11 inference(forward_demodulation,[],[f1353,f763])). 18.23/3.11 thf(f1400,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false)) ) | (~spl14_3 | ~spl14_18)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1399])). 18.23/3.11 thf(f1401,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = $false) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8)))))) ) | (~spl14_3 | ~spl14_18)), 18.23/3.11 inference(forward_demodulation,[],[f1354,f763])). 18.23/3.11 thf(f1402,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8)))))) ) | (~spl14_3 | ~spl14_18)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1401])). 18.23/3.11 thf(f1404,definition,( 18.23/3.11 spl14_20 <=> (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false)), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_20])],[avatar_definition])). 18.23/3.11 thf(f1406,plain,( 18.23/3.11 (((sK0 @ sK8 @ (sK7 @ (sK1 @ (sK0 @ sK8)) @ (sK0 @ sK8)))) = $false) | ~spl14_20), 18.23/3.11 inference(avatar_component_clause,[],[f1404])). 18.23/3.11 thf(f1409,definition,( 18.23/3.11 spl14_21 <=> ($false = ((sK0 @ sK8 @ (ap @ (sK3 @ (sK0 @ sK8)) @ (sK2 @ (sK0 @ sK8))))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_21])],[avatar_definition])). 18.23/3.11 thf(f1411,plain,( 18.23/3.11 ($false = ((sK0 @ sK8 @ (ap @ (sK3 @ (sK0 @ sK8)) @ (sK2 @ (sK0 @ sK8)))))) | ~spl14_21), 18.23/3.11 inference(avatar_component_clause,[],[f1409])). 18.23/3.11 thf(f1427,plain,( 18.23/3.11 spl14_1 | spl14_20 | spl14_7 | ~spl14_3 | ~spl14_18), 18.23/3.11 inference(avatar_split_clause,[],[f1388,f1265,f761,f777,f1404,f753])). 18.23/3.11 thf(f1428,plain,( 18.23/3.11 spl14_20 | spl14_8 | spl14_1 | spl14_4 | ~spl14_3 | ~spl14_18), 18.23/3.11 inference(avatar_split_clause,[],[f1390,f1265,f761,f765,f753,f782,f1404])). 18.23/3.11 thf(f1433,plain,( 18.23/3.11 spl14_4 | spl14_5 | spl14_8 | spl14_20 | ~spl14_3 | ~spl14_18), 18.23/3.11 inference(avatar_split_clause,[],[f1400,f1265,f761,f1404,f782,f769,f765])). 18.23/3.11 thf(f1434,plain,( 18.23/3.11 spl14_20 | spl14_4 | spl14_7 | spl14_5 | ~spl14_3 | ~spl14_18), 18.23/3.11 inference(avatar_split_clause,[],[f1402,f1265,f761,f769,f777,f765,f1404])). 18.23/3.11 thf(f1441,plain,( 18.23/3.11 ($true = $false) | ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | (~spl14_12 | ~spl14_20)), 18.23/3.11 inference(superposition,[],[f943,f1406])). 18.23/3.11 thf(f1446,plain,( 18.23/3.11 ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | (~spl14_12 | ~spl14_20)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1441])). 18.23/3.11 thf(f1450,plain,( 18.23/3.11 ($true = $false) | (~spl14_3 | ~spl14_12 | ~spl14_20)), 18.23/3.11 inference(forward_demodulation,[],[f1446,f763])). 18.23/3.11 thf(f1451,plain,( 18.23/3.11 $false | (~spl14_3 | ~spl14_12 | ~spl14_20)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1450])). 18.23/3.11 thf(f1452,plain,( 18.23/3.11 ~spl14_3 | ~spl14_12 | ~spl14_20), 18.23/3.11 inference(avatar_contradiction_clause,[],[f1451])). 18.23/3.11 thf(f1461,plain,( 18.23/3.11 ($true = $false) | ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ~spl14_21), 18.23/3.11 inference(superposition,[],[f1411,f706])). 18.23/3.11 thf(f1466,plain,( 18.23/3.11 ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ~spl14_21), 18.23/3.11 inference(trivial_inequality_removal,[],[f1461])). 18.23/3.11 thf(f1470,plain,( 18.23/3.11 ($true = $false) | ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | (~spl14_7 | ~spl14_21)), 18.23/3.11 inference(forward_demodulation,[],[f1466,f779])). 18.23/3.11 thf(f1471,plain,( 18.23/3.11 ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | (~spl14_7 | ~spl14_21)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1470])). 18.23/3.11 thf(f1474,plain,( 18.23/3.11 ($true = $false) | (~spl14_7 | ~spl14_8 | ~spl14_21)), 18.23/3.11 inference(superposition,[],[f1471,f784])). 18.23/3.11 thf(f1482,plain,( 18.23/3.11 $false | (~spl14_7 | ~spl14_8 | ~spl14_21)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1474])). 18.23/3.11 thf(f1483,plain,( 18.23/3.11 ~spl14_7 | ~spl14_8 | ~spl14_21), 18.23/3.11 inference(avatar_contradiction_clause,[],[f1482])). 18.23/3.11 thf(f1489,definition,( 18.23/3.11 spl14_22 <=> ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8)))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_22])],[avatar_definition])). 18.23/3.11 thf(f1491,plain,( 18.23/3.11 ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ~spl14_22), 18.23/3.11 inference(avatar_component_clause,[],[f1489])). 18.23/3.11 thf(f1498,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : ((((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | (((X0 @ (sK7 @ X1 @ X0))) = $true) | ($true = $false) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | (((X2 @ (lam @ X3))) = $true) | ($true = ((X2 @ (sK7 @ X3 @ X2)))) | (((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true) | (((X0 @ (lam @ X1))) = $true)) ) | ~spl14_17), 18.23/3.11 inference(forward_demodulation,[],[f1275,f1156])). 18.23/3.11 thf(f1499,plain,( 18.23/3.11 ( ! [X2 : (term > $o),X3 : term,X0 : (term > $o),X1 : term] : ((((X0 @ (lam @ X1))) = $true) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | ($true = ((X2 @ (sK7 @ X3 @ X2)))) | (((X2 @ (sK6 @ sK8 @ X2))) != ((sK8 @ id @ (sK6 @ sK8 @ X2) @ id))) | (((X0 @ (sK7 @ X1 @ X0))) = $true) | (((X2 @ (lam @ X3))) = $true) | (((sK0 @ sK8 @ (lam @ (sK5 @ sK8 @ sh @ one)))) = $true)) ) | ~spl14_17), 18.23/3.11 inference(trivial_inequality_removal,[],[f1498])). 18.23/3.11 thf(f1501,plain,( 18.23/3.11 spl14_9 | spl14_9 | spl14_19 | ~spl14_17), 18.23/3.11 inference(avatar_split_clause,[],[f1499,f1154,f1298,f854,f854])). 18.23/3.11 thf(f1506,plain,( 18.23/3.11 ($true = $false) | (((var @ (sK4 @ (sK0 @ sK8)))) = $false) | ~spl14_5), 18.23/3.11 inference(superposition,[],[f771,f694])). 18.23/3.11 thf(f1508,plain,( 18.23/3.11 (((var @ (sK4 @ (sK0 @ sK8)))) = $false) | ~spl14_5), 18.23/3.11 inference(trivial_inequality_removal,[],[f1506])). 18.23/3.11 thf(f1510,plain,( 18.23/3.11 ($true = $false) | (~spl14_1 | ~spl14_5)), 18.23/3.11 inference(superposition,[],[f1508,f755])). 18.23/3.11 thf(f1514,plain,( 18.23/3.11 $false | (~spl14_1 | ~spl14_5)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1510])). 18.23/3.11 thf(f1515,plain,( 18.23/3.11 ~spl14_1 | ~spl14_5), 18.23/3.11 inference(avatar_contradiction_clause,[],[f1514])). 18.23/3.11 thf(f1538,definition,( 18.23/3.11 spl14_24 <=> ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8))))))), 18.23/3.11 introduced(definition,[new_symbols(definition,[spl14_24])],[avatar_definition])). 18.23/3.11 thf(f1540,plain,( 18.23/3.11 ($true = ((sK0 @ sK8 @ (lam @ (sK1 @ (sK0 @ sK8)))))) | ~spl14_24), 18.23/3.11 inference(avatar_component_clause,[],[f1538])). 18.23/3.11 thf(f1554,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ X0))) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($false != $false)) ) | spl14_3), 18.23/3.11 inference(superposition,[],[f762,f573])). 18.23/3.11 thf(f1555,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ($false != $false) | ($true = ((sK0 @ sK8 @ X0))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8)))))) ) | spl14_3), 18.23/3.11 inference(superposition,[],[f762,f572])). 18.23/3.11 thf(f1556,plain,( 18.23/3.11 ( ! [X0 : term] : (($false != $false) | ($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($true = ((sK0 @ sK8 @ X0)))) ) | spl14_3), 18.23/3.11 inference(superposition,[],[f762,f561])). 18.23/3.11 thf(f1557,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ X0))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($false != $false)) ) | spl14_3), 18.23/3.11 inference(superposition,[],[f762,f560])). 18.23/3.11 thf(f1558,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0)))) ) | spl14_3), 18.23/3.11 inference(trivial_inequality_removal,[],[f1555])). 18.23/3.11 thf(f1559,plain,( 18.23/3.11 ( ! [X0 : term] : ((((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0)))) ) | spl14_3), 18.23/3.11 inference(trivial_inequality_removal,[],[f1556])). 18.23/3.11 thf(f1560,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0)))) ) | spl14_3), 18.23/3.11 inference(trivial_inequality_removal,[],[f1557])). 18.23/3.11 thf(f1561,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true)) ) | spl14_3), 18.23/3.11 inference(trivial_inequality_removal,[],[f1554])). 18.23/3.11 thf(f1593,plain,( 18.23/3.11 ($true = $false) | (~spl14_8 | ~spl14_22)), 18.23/3.11 inference(superposition,[],[f784,f1491])). 18.23/3.11 thf(f1595,plain,( 18.23/3.11 $false | (~spl14_8 | ~spl14_22)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1593])). 18.23/3.11 thf(f1596,plain,( 18.23/3.11 ~spl14_8 | ~spl14_22), 18.23/3.11 inference(avatar_contradiction_clause,[],[f1595])). 18.23/3.11 thf(f1622,plain,( 18.23/3.11 spl14_24 | spl14_20 | spl14_21 | spl14_5 | ~spl14_18), 18.23/3.11 inference(avatar_split_clause,[],[f1342,f1265,f769,f1409,f1404,f1538])). 18.23/3.11 thf(f1624,plain,( 18.23/3.11 spl14_21 | spl14_20 | spl14_1 | spl14_24 | ~spl14_18), 18.23/3.11 inference(avatar_split_clause,[],[f1337,f1265,f1538,f753,f1404,f1409])). 18.23/3.11 thf(f1643,plain,( 18.23/3.11 spl14_8 | spl14_4 | spl14_1 | spl14_3), 18.23/3.11 inference(avatar_split_clause,[],[f1559,f761,f753,f765,f782])). 18.23/3.11 thf(f1647,plain,( 18.23/3.11 spl14_8 | spl14_4 | spl14_5 | spl14_3), 18.23/3.11 inference(avatar_split_clause,[],[f1560,f761,f769,f765,f782])). 18.23/3.11 thf(f1649,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8)))))) ) | spl14_3), 18.23/3.11 inference(forward_subsumption_resolution,[],[f876,f762])). 18.23/3.11 thf(f1652,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK2 @ (sK0 @ sK8))))) | (((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($true = ((sK0 @ sK8 @ X0))) | ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8)))))) ) | spl14_3), 18.23/3.11 inference(forward_subsumption_resolution,[],[f877,f762])). 18.23/3.11 thf(f1659,plain,( 18.23/3.11 ( ! [X0 : term] : (($true = ((sK0 @ sK8 @ X0))) | ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($true = $false) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8)))))) ) | (spl14_3 | ~spl14_7)), 18.23/3.11 inference(forward_demodulation,[],[f1649,f779])). 18.23/3.11 thf(f1660,plain,( 18.23/3.11 ( ! [X0 : term] : (($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($false = ((sK0 @ sK8 @ (sK4 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0)))) ) | (spl14_3 | ~spl14_7)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1659])). 18.23/3.11 thf(f1662,plain,( 18.23/3.11 ( ! [X0 : term] : ((((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($true = $false) | ($true = ((sK0 @ sK8 @ X0)))) ) | (spl14_3 | ~spl14_7)), 18.23/3.11 inference(forward_demodulation,[],[f1652,f779])). 18.23/3.11 thf(f1663,plain,( 18.23/3.11 ( ! [X0 : term] : ((((var @ (sK4 @ (sK0 @ sK8)))) = $true) | ($false = ((sK0 @ sK8 @ (sK3 @ (sK0 @ sK8))))) | ($true = ((sK0 @ sK8 @ X0)))) ) | (spl14_3 | ~spl14_7)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1662])). 18.23/3.11 thf(f1665,plain,( 18.23/3.11 spl14_22 | spl14_5 | spl14_4 | spl14_3 | ~spl14_7), 18.23/3.11 inference(avatar_split_clause,[],[f1660,f777,f761,f765,f769,f1489])). 18.23/3.11 thf(f1666,plain,( 18.23/3.11 spl14_22 | spl14_1 | spl14_4 | spl14_3 | ~spl14_7), 18.23/3.11 inference(avatar_split_clause,[],[f1663,f777,f761,f765,f753,f1489])). 18.23/3.11 thf(f1669,plain,( 18.23/3.11 spl14_1 | spl14_4 | spl14_7 | spl14_3), 18.23/3.11 inference(avatar_split_clause,[],[f1561,f761,f777,f765,f753])). 18.23/3.11 thf(f1681,plain,( 18.23/3.11 spl14_4 | spl14_7 | spl14_5 | spl14_3), 18.23/3.11 inference(avatar_split_clause,[],[f1558,f761,f769,f777,f765])). 18.23/3.11 thf(f1705,plain,( 18.23/3.11 ($true = $false) | (~spl14_3 | ~spl14_24)), 18.23/3.11 inference(forward_demodulation,[],[f1540,f763])). 18.23/3.11 thf(f1706,plain,( 18.23/3.11 $false | (~spl14_3 | ~spl14_24)), 18.23/3.11 inference(trivial_inequality_removal,[],[f1705])). 18.23/3.11 thf(f1707,plain,( 18.23/3.11 ~spl14_3 | ~spl14_24), 18.23/3.11 inference(avatar_contradiction_clause,[],[f1706])). 18.23/3.11 thf(f1712,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : (($true = $false) | (((X0 @ (sK7 @ X1 @ X0))) = $true) | (((X0 @ (lam @ X1))) = $true) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0))))) ) | ~spl14_19), 18.23/3.11 inference(superposition,[],[f1300,f630])). 18.23/3.11 thf(f1713,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : (($true = $false) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | (((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | (((X0 @ (lam @ X1))) = $true)) ) | ~spl14_19), 18.23/3.11 inference(superposition,[],[f629,f1300])). 18.23/3.11 thf(f1715,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : ((((X0 @ (sub @ X1 @ (push @ (sK7 @ X1 @ X0) @ id)))) = $false) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0)))) | (((X0 @ (lam @ X1))) = $true)) ) | ~spl14_19), 18.23/3.11 inference(trivial_inequality_removal,[],[f1713])). 18.23/3.11 thf(f1717,plain,( 18.23/3.11 ( ! [X0 : (term > $o),X1 : term] : ((((X0 @ (sK7 @ X1 @ X0))) = $true) | (((X0 @ (lam @ X1))) = $true) | (((sK8 @ id @ (sK6 @ sK8 @ X0) @ id)) != ((X0 @ (sK6 @ sK8 @ X0))))) ) | ~spl14_19), 18.23/3.11 inference(trivial_inequality_removal,[],[f1712])). 18.23/3.11 thf(f1719,plain,( 18.23/3.11 spl14_11 | ~spl14_19), 18.23/3.11 inference(avatar_split_clause,[],[f1715,f1298,f886])). 18.23/3.11 thf(f1724,plain,( 18.23/3.11 spl14_9 | ~spl14_19), 18.23/3.11 inference(avatar_split_clause,[],[f1717,f1298,f854])). 18.23/3.11 cnf(s14, plain, ~spl14_4, inference(sat_conversion,[],[f824])). 18.23/3.11 cnf(s22, plain, spl14_9 | spl14_9 | spl14_17, inference(sat_conversion,[],[f1157])). 18.23/3.11 cnf(s23, plain, spl14_9 | spl14_17, inference(rat,[],[s22])). 18.23/3.11 cnf(s28, plain, ~spl14_9 | spl14_12, inference(sat_conversion,[],[f1161])). 18.23/3.11 cnf(s29, plain, spl14_11 | spl14_11 | spl14_17, inference(sat_conversion,[],[f1252])). 18.23/3.11 cnf(s30, plain, spl14_11 | spl14_17, inference(rat,[],[s29])). 18.23/3.11 cnf(s34, plain, ~spl14_11 | spl14_18, inference(sat_conversion,[],[f1268])). 18.23/3.11 cnf(s37, plain, spl14_11 | spl14_11 | ~spl14_17 | spl14_19, inference(sat_conversion,[],[f1302])). 18.23/3.11 cnf(s38, plain, spl14_11 | ~spl14_17 | spl14_19, inference(rat,[],[s37])). 18.23/3.11 cnf(s56, plain, spl14_1 | ~spl14_3 | spl14_7 | ~spl14_18 | spl14_20, inference(sat_conversion,[],[f1427])). 18.23/3.11 cnf(s57, plain, spl14_1 | ~spl14_3 | spl14_4 | spl14_8 | ~spl14_18 | spl14_20, inference(sat_conversion,[],[f1428])). 18.23/3.11 cnf(s62, plain, ~spl14_3 | spl14_4 | spl14_5 | spl14_8 | ~spl14_18 | spl14_20, inference(sat_conversion,[],[f1433])). 18.23/3.11 cnf(s63, plain, ~spl14_3 | spl14_4 | spl14_5 | spl14_7 | ~spl14_18 | spl14_20, inference(sat_conversion,[],[f1434])). 18.23/3.11 cnf(s65, plain, ~spl14_3 | ~spl14_12 | ~spl14_20, inference(sat_conversion,[],[f1452])). 18.23/3.11 cnf(s69, plain, ~spl14_7 | ~spl14_8 | ~spl14_21, inference(sat_conversion,[],[f1483])). 18.23/3.11 cnf(s74, plain, spl14_9 | spl14_9 | ~spl14_17 | spl14_19, inference(sat_conversion,[],[f1501])). 18.23/3.11 cnf(s75, plain, spl14_9 | ~spl14_17 | spl14_19, inference(rat,[],[s74])). 18.23/3.11 cnf(s79, plain, ~spl14_1 | ~spl14_5, inference(sat_conversion,[],[f1515])). 18.23/3.11 cnf(s99, plain, ~spl14_8 | ~spl14_22, inference(sat_conversion,[],[f1596])). 18.23/3.11 cnf(s108, plain, spl14_5 | ~spl14_18 | spl14_20 | spl14_21 | spl14_24, inference(sat_conversion,[],[f1622])). 18.23/3.11 cnf(s109, plain, spl14_1 | ~spl14_18 | spl14_20 | spl14_21 | spl14_24, inference(sat_conversion,[],[f1624])). 18.23/3.11 cnf(s116, plain, spl14_1 | spl14_3 | spl14_4 | spl14_8, inference(sat_conversion,[],[f1643])). 18.23/3.11 cnf(s119, plain, spl14_3 | spl14_4 | spl14_5 | spl14_8, inference(sat_conversion,[],[f1647])). 18.23/3.11 cnf(s127, plain, spl14_3 | spl14_4 | spl14_5 | ~spl14_7 | spl14_22, inference(sat_conversion,[],[f1665])). 18.23/3.11 cnf(s128, plain, spl14_1 | spl14_3 | spl14_4 | ~spl14_7 | spl14_22, inference(sat_conversion,[],[f1666])). 18.23/3.11 cnf(s129, plain, spl14_1 | spl14_3 | spl14_4 | spl14_7, inference(sat_conversion,[],[f1669])). 18.23/3.11 cnf(s141, plain, spl14_3 | spl14_4 | spl14_5 | spl14_7, inference(sat_conversion,[],[f1681])). 18.23/3.11 cnf(s147, plain, ~spl14_3 | ~spl14_24, inference(sat_conversion,[],[f1707])). 18.23/3.11 cnf(s148, plain, spl14_11 | ~spl14_19, inference(sat_conversion,[],[f1719])). 18.23/3.11 cnf(s150, plain, spl14_9 | ~spl14_19, inference(sat_conversion,[],[f1724])). 18.23/3.11 cnf(s166, plain, spl14_9 | spl14_19, inference(rat,[],[s23,s75])). 18.23/3.11 cnf(s167, plain, spl14_9, inference(rat,[],[s166,s150])). 18.23/3.11 cnf(s168, plain, spl14_12, inference(rat,[],[s28,s167])). 18.23/3.11 cnf(s169, plain, spl14_11 | spl14_19, inference(rat,[],[s30,s38])). 18.23/3.11 cnf(s170, plain, spl14_11, inference(rat,[],[s169,s148])). 18.23/3.11 cnf(s171, plain, spl14_18, inference(rat,[],[s34,s170])). 18.23/3.11 cnf(s173, plain, ~spl14_3 | spl14_1, inference(rat,[],[s69,s109,s56,s57,s65,s147,s171,s14,s168])). 18.23/3.11 cnf(s174, plain, spl14_3 | spl14_1, inference(rat,[],[s99,s128,s116,s129,s14])). 18.23/3.11 cnf(s175, plain, spl14_1, inference(rat,[],[s174,s173])). 18.23/3.11 cnf(s176, plain, ~spl14_5, inference(rat,[],[s79,s175])). 18.23/3.11 cnf(s177, plain, ~spl14_3, inference(rat,[],[s69,s108,s62,s63,s65,s147,s171,s176,s14,s168])). 18.23/3.11 cnf(s179, plain, spl14_7, inference(rat,[],[s141,s176,s14,s177])). 18.23/3.11 cnf(s180, plain, spl14_8, inference(rat,[],[s119,s176,s14,s177])). 18.23/3.11 cnf(s182, plain, spl14_22, inference(rat,[],[s127,s176,s177,s14,s179])). 18.23/3.11 cnf(s183, plain, $false, inference(rat,[],[s99,s182,s180])). 18.23/3.11 thf(f1725,plain,( 18.23/3.11 $false), 18.23/3.11 inference(avatar_sat_refutation,[],[s183])). 18.23/3.11 % SZS output end Proof for theBenchmark 18.23/3.11 % (1069505)------------------------------ 18.23/3.11 % (1069505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 18.23/3.11 % (1069505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 18.23/3.11 % (1069505)CaDiCaL version: 2.1.3 18.23/3.11 % (1069505)Termination reason: Refutation 18.23/3.11 % (1069505)Time elapsed: 0.175 s 18.23/3.11 % (1069505)Peak memory usage: 15 MB 18.23/3.11 % (1069505)Instructions burned: 373 (million) 18.23/3.11 % (1069243)Success in time 2.64 s 18.23/3.11 % Vampire exiting 18.23/3.11 EOF