0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.39 % Computer : n015.cluster.edu 0.11/0.39 % Model : x86_64 x86_64 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.39 % Memory : 8046.5625MB 0.11/0.39 % OS : Linux 6.8.0-71-generic 0.11/0.39 % CPULimit : 1440 0.11/0.39 % WCLimit : 180 0.11/0.39 % DateTime : Mon Jul 27 12:22:51 UTC 2026 0.11/0.39 % CPUTime : 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.42 Running higher-order theorem proving 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/0.56 % (997043)Detected a higher-order problem, will run a greedy HOL sequence. 0.19/0.56 % (997050)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1096974616:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi) 0.19/0.56 % (997050)Instruction limit reached! 0.19/0.56 % (997050)------------------------------ 0.19/0.56 % (997050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.19/0.56 % (997050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.56 % (997050)CaDiCaL version: 2.1.3 0.19/0.56 % (997050)Termination reason: Instruction limit 0.19/0.56 % (997050)Termination phase: Saturation 0.19/0.56 % (997050)Time elapsed: 0.002 s 0.19/0.56 % (997050)Peak memory usage: 12 MB 0.19/0.56 % (997050)Instructions burned: 4 (million) 0.19/0.56 % (997052)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2840234771:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi) 0.19/0.56 % (997048)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1347769951:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi) 0.19/0.56 % (997049)lrs+10_16_si=on:nwc=1.5:random_seed=3848860447:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi) 0.19/0.56 % (997051)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=505191118: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) 0.19/0.56 % (997054)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on 0.19/0.56 % (997054)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 0.19/0.56 % (997053)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2253547172:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi) 0.19/0.56 % (997054)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=3104287630:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi) 0.19/0.56 % (997052)Instruction limit reached! 0.19/0.56 % (997052)------------------------------ 0.19/0.56 % (997052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.19/0.56 % (997052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.56 % (997052)CaDiCaL version: 2.1.3 0.19/0.56 % (997052)Termination reason: Instruction limit 0.19/0.56 % (997052)Termination phase: Saturation 0.19/0.56 % (997052)Time elapsed: 0.008 s 0.19/0.56 % (997052)Peak memory usage: 11 MB 0.19/0.56 % (997052)Instructions burned: 28 (million) 0.19/0.56 % (997049)Instruction limit reached! 0.19/0.56 % (997049)------------------------------ 0.19/0.56 % (997049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.19/0.56 % (997049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.56 % (997049)CaDiCaL version: 2.1.3 0.19/0.56 % (997049)Termination reason: Instruction limit 0.19/0.56 % (997049)Termination phase: Saturation 0.19/0.56 % (997049)Time elapsed: 0.010 s 0.19/0.56 % (997049)Peak memory usage: 12 MB 0.19/0.56 % (997049)Instructions burned: 18 (million) 0.19/0.56 % (997056)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2900712645:i=2:hud=10:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 0.19/0.56 % (997056)Instruction limit reached! 0.19/0.56 % (997056)------------------------------ 0.19/0.56 % (997056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.19/0.56 % (997056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.19/0.56 % (997056)CaDiCaL version: 2.1.3 0.19/0.56 % (997056)Termination reason: Instruction limit 0.19/0.56 % (997056)Termination phase: Saturation 0.19/0.56 % (997056)Time elapsed: 0.001 s 0.19/0.56 % (997056)Peak memory usage: 12 MB 0.19/0.56 % (997056)Instructions burned: 2 (million) 0.19/0.56 % (997066)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1597474596:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_1799 on theBenchmark for (1799ds/12Mi) 0.19/0.56 % (997064)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 0.93/0.60 % (997063)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2294468797:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1799 on theBenchmark for (1799ds/5Mi) 0.93/0.60 % (997066)Instruction limit reached! 0.93/0.60 % (997066)------------------------------ 0.93/0.60 % (997066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.60 % (997066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.60 % (997066)CaDiCaL version: 2.1.3 0.93/0.60 % (997066)Termination reason: Instruction limit 0.93/0.60 % (997066)Termination phase: Saturation 0.93/0.60 % (997066)Time elapsed: 0.004 s 0.93/0.60 % (997066)Peak memory usage: 12 MB 0.93/0.60 % (997066)Instructions burned: 12 (million) 0.93/0.60 % (997064)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2348205709:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1799 on theBenchmark for (1799ds/7Mi) 0.93/0.60 % (997063)Instruction limit reached! 0.93/0.60 % (997063)------------------------------ 0.93/0.60 % (997063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.60 % (997063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.60 % (997063)CaDiCaL version: 2.1.3 0.93/0.60 % (997063)Termination reason: Instruction limit 0.93/0.60 % (997063)Termination phase: Saturation 0.93/0.60 % (997063)Time elapsed: 0.004 s 0.93/0.60 % (997063)Peak memory usage: 12 MB 0.93/0.60 % (997063)Instructions burned: 6 (million) 0.93/0.60 % (997064)Instruction limit reached! 0.93/0.60 % (997064)------------------------------ 0.93/0.60 % (997064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.60 % (997064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.60 % (997064)CaDiCaL version: 2.1.3 0.93/0.60 % (997064)Termination reason: Instruction limit 0.93/0.60 % (997064)Termination phase: Saturation 0.93/0.60 % (997064)Time elapsed: 0.005 s 0.93/0.60 % (997064)Peak memory usage: 12 MB 0.93/0.60 % (997064)Instructions burned: 9 (million) 0.93/0.60 % (997069)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 0.93/0.60 % (997069)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 0.93/0.60 % (997069)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1624895958:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1799 on theBenchmark for (1799ds/28Mi) 0.93/0.60 % (997053)Instruction limit reached! 0.93/0.60 % (997053)------------------------------ 0.93/0.60 % (997053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.60 % (997053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.60 % (997053)CaDiCaL version: 2.1.3 0.93/0.60 % (997053)Termination reason: Instruction limit 0.93/0.60 % (997053)Termination phase: Saturation 0.93/0.60 % (997053)Time elapsed: 0.039 s 0.93/0.60 % (997053)Peak memory usage: 13 MB 0.93/0.60 % (997053)Instructions burned: 75 (million) 0.93/0.60 % (997069)Instruction limit reached! 0.93/0.60 % (997069)------------------------------ 0.93/0.60 % (997069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.60 % (997069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.60 % (997069)CaDiCaL version: 2.1.3 0.93/0.60 % (997069)Termination reason: Instruction limit 0.93/0.60 % (997069)Termination phase: Saturation 0.93/0.60 % (997069)Time elapsed: 0.007 s 0.93/0.60 % (997069)Peak memory usage: 12 MB 0.93/0.60 % (997069)Instructions burned: 29 (million) 0.93/0.60 % (997048)Instruction limit reached! 0.93/0.60 % (997048)------------------------------ 0.93/0.60 % (997048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.60 % (997048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.60 % (997048)CaDiCaL version: 2.1.3 0.93/0.60 % (997048)Termination reason: Instruction limit 0.93/0.60 % (997048)Termination phase: Saturation 0.93/0.60 % (997048)Time elapsed: 0.049 s 0.93/0.60 % (997048)Peak memory usage: 12 MB 0.93/0.60 % (997048)Instructions burned: 89 (million) 0.93/0.64 % (997071)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=3335786918:i=86:piset=equals:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/86Mi) 0.93/0.64 % (997072)lrs+10_1_si=on:cs=on:random_seed=2744328119:i=8:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/8Mi) 0.93/0.64 % (997075)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4062606223:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_1799 on theBenchmark for (1799ds/38Mi) 0.93/0.64 % (997072)Instruction limit reached! 0.93/0.64 % (997072)------------------------------ 0.93/0.64 % (997072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.64 % (997072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.64 % (997072)CaDiCaL version: 2.1.3 0.93/0.64 % (997072)Termination reason: Instruction limit 0.93/0.64 % (997072)Termination phase: Saturation 0.93/0.64 % (997072)Time elapsed: 0.004 s 0.93/0.64 % (997072)Peak memory usage: 12 MB 0.93/0.64 % (997072)Instructions burned: 8 (million) 0.93/0.64 % (997074)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on 0.93/0.64 % (997076)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3983659038:st=2:i=249:sd=1:rtra=on:ss=axioms_1799 on theBenchmark for (1799ds/249Mi) 0.93/0.64 % (997074)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=1140863961:i=2:add=on:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 0.93/0.64 % (997074)Instruction limit reached! 0.93/0.64 % (997074)------------------------------ 0.93/0.64 % (997074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.64 % (997074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.64 % (997074)CaDiCaL version: 2.1.3 0.93/0.64 % (997074)Termination reason: Instruction limit 0.93/0.64 % (997074)Termination phase: Saturation 0.93/0.64 % (997074)Time elapsed: 0.001 s 0.93/0.64 % (997074)Peak memory usage: 11 MB 0.93/0.64 % (997074)Instructions burned: 2 (million) 0.93/0.64 % (997075)Instruction limit reached! 0.93/0.64 % (997075)------------------------------ 0.93/0.64 % (997075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.64 % (997075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.64 % (997075)CaDiCaL version: 2.1.3 0.93/0.64 % (997075)Termination reason: Instruction limit 0.93/0.64 % (997075)Termination phase: Saturation 0.93/0.64 % (997075)Time elapsed: 0.012 s 0.93/0.64 % (997075)Peak memory usage: 13 MB 0.93/0.64 % (997075)Instructions burned: 41 (million) 0.93/0.64 % (997080)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4156489709:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1799 on theBenchmark for (1799ds/25Mi) 0.93/0.64 % (997054)Refutation not found, incomplete strategy 0.93/0.64 % (997054)------------------------------ 0.93/0.64 % (997054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.64 % (997054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.64 % (997054)CaDiCaL version: 2.1.3 0.93/0.64 % (997054)Termination reason: Refutation not found, incomplete strategy 0.93/0.64 % (997054)Time elapsed: 0.075 s 0.93/0.64 % (997054)Peak memory usage: 13 MB 0.93/0.64 % (997054)Instructions burned: 139 (million) 0.93/0.64 % (997054)------------------------------ 0.93/0.64 % (997054)------------------------------ 0.93/0.64 % (997083)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1664703946:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_1798 on theBenchmark for (1798ds/14Mi) 0.93/0.64 % (997080)Refutation not found, incomplete strategy 0.93/0.64 % (997080)------------------------------ 0.93/0.64 % (997080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 0.93/0.64 % (997080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.93/0.64 % (997080)CaDiCaL version: 2.1.3 0.93/0.64 % (997080)Termination reason: Refutation not found, incomplete strategy 0.93/0.64 % (997080)Time elapsed: 0.004 s 0.93/0.64 % (997080)Peak memory usage: 12 MB 0.93/0.64 % (997080)Instructions burned: 5 (million) 1.32/0.69 % (997080)------------------------------ 1.32/0.69 % (997080)------------------------------ 1.32/0.69 % (997083)Instruction limit reached! 1.32/0.69 % (997083)------------------------------ 1.32/0.69 % (997083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.32/0.69 % (997083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.32/0.69 % (997083)CaDiCaL version: 2.1.3 1.32/0.69 % (997083)Termination reason: Instruction limit 1.32/0.69 % (997083)Termination phase: Saturation 1.32/0.69 % (997083)Time elapsed: 0.005 s 1.32/0.69 % (997083)Peak memory usage: 12 MB 1.32/0.69 % (997083)Instructions burned: 15 (million) 1.32/0.69 % (997071)Instruction limit reached! 1.32/0.69 % (997071)------------------------------ 1.32/0.69 % (997071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.32/0.69 % (997071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.32/0.69 % (997071)CaDiCaL version: 2.1.3 1.32/0.69 % (997071)Termination reason: Instruction limit 1.32/0.69 % (997071)Termination phase: Saturation 1.32/0.69 % (997071)Time elapsed: 0.046 s 1.32/0.69 % (997071)Peak memory usage: 12 MB 1.32/0.69 % (997071)Instructions burned: 87 (million) 1.32/0.69 % (997089)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3682677047:i=26:ep=R:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/26Mi) 1.32/0.69 % (997084)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1578845891:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/327Mi) 1.32/0.69 % (997088)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=18298961: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) 1.32/0.69 % (997088)Instruction limit reached! 1.32/0.69 % (997088)------------------------------ 1.32/0.69 % (997088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.32/0.69 % (997088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.32/0.69 % (997088)CaDiCaL version: 2.1.3 1.32/0.69 % (997088)Termination reason: Instruction limit 1.32/0.69 % (997088)Termination phase: Saturation 1.32/0.69 % (997088)Time elapsed: 0.002 s 1.32/0.69 % (997088)Peak memory usage: 12 MB 1.32/0.69 % (997088)Instructions burned: 2 (million) 1.32/0.69 % (997089)Instruction limit reached! 1.32/0.69 % (997089)------------------------------ 1.32/0.69 % (997089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.32/0.69 % (997089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.32/0.69 % (997089)CaDiCaL version: 2.1.3 1.32/0.69 % (997089)Termination reason: Instruction limit 1.32/0.69 % (997089)Termination phase: Saturation 1.32/0.69 % (997089)Time elapsed: 0.008 s 1.32/0.69 % (997089)Peak memory usage: 12 MB 1.32/0.69 % (997089)Instructions burned: 30 (million) 1.32/0.69 % (997087)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=436728484:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_1798 on theBenchmark for (1798ds/14Mi) 1.32/0.69 % (997091)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1393829858:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_1798 on theBenchmark for (1798ds/23Mi) 1.32/0.69 % (997094)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3639537619:cond=on:i=60:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/60Mi) 1.32/0.69 % (997095)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 1.32/0.69 % (997095)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs 1.32/0.69 % (997087)Instruction limit reached! 1.32/0.69 % (997087)------------------------------ 1.32/0.69 % (997087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.32/0.69 % (997087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.32/0.69 % (997087)CaDiCaL version: 2.1.3 1.32/0.69 % (997087)Termination reason: Instruction limit 1.32/0.69 % (997087)Termination phase: Saturation 1.32/0.69 % (997087)Time elapsed: 0.009 s 1.32/0.69 % (997087)Peak memory usage: 12 MB 1.32/0.69 % (997087)Instructions burned: 14 (million) 1.32/0.69 % (997095)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=2318709782:i=14:add=off:nm=40:rtra=on:rawr=on_1798 on theBenchmark for (1798ds/14Mi) 1.54/0.75 % (997091)Instruction limit reached! 1.54/0.75 % (997091)------------------------------ 1.54/0.75 % (997091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.54/0.75 % (997091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.54/0.75 % (997091)CaDiCaL version: 2.1.3 1.54/0.75 % (997091)Termination reason: Instruction limit 1.54/0.75 % (997091)Termination phase: Saturation 1.54/0.75 % (997091)Time elapsed: 0.013 s 1.54/0.75 % (997091)Peak memory usage: 11 MB 1.54/0.75 % (997091)Instructions burned: 23 (million) 1.54/0.75 % (997094)Instruction limit reached! 1.54/0.75 % (997094)------------------------------ 1.54/0.75 % (997094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.54/0.75 % (997094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.54/0.75 % (997094)CaDiCaL version: 2.1.3 1.54/0.75 % (997094)Termination reason: Instruction limit 1.54/0.75 % (997094)Termination phase: Saturation 1.54/0.75 % (997094)Time elapsed: 0.015 s 1.54/0.75 % (997094)Peak memory usage: 12 MB 1.54/0.75 % (997094)Instructions burned: 62 (million) 1.54/0.75 % (997095)Instruction limit reached! 1.54/0.75 % (997095)------------------------------ 1.54/0.75 % (997095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.54/0.75 % (997095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.54/0.75 % (997095)CaDiCaL version: 2.1.3 1.54/0.75 % (997095)Termination reason: Instruction limit 1.54/0.75 % (997095)Termination phase: Saturation 1.54/0.75 % (997095)Time elapsed: 0.008 s 1.54/0.75 % (997095)Peak memory usage: 12 MB 1.54/0.75 % (997095)Instructions burned: 15 (million) 1.54/0.75 % (997102)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3783850705:i=7:hud=5:bd=preordered:rtra=on:bet=on_1798 on theBenchmark for (1798ds/7Mi) 1.54/0.75 % (997102)Instruction limit reached! 1.54/0.75 % (997102)------------------------------ 1.54/0.75 % (997102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.54/0.75 % (997102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.54/0.75 % (997102)CaDiCaL version: 2.1.3 1.54/0.75 % (997102)Termination reason: Instruction limit 1.54/0.75 % (997102)Termination phase: Saturation 1.54/0.75 % (997102)Time elapsed: 0.003 s 1.54/0.75 % (997102)Peak memory usage: 12 MB 1.54/0.75 % (997102)Instructions burned: 9 (million) 1.54/0.75 % (997099)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off 1.54/0.75 % (997101)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=1025070188:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_1798 on theBenchmark for (1798ds/31Mi) 1.54/0.75 % (997099)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=2813843515:i=8:nm=2:rtra=on:fe=abstraction:inj=on_1798 on theBenchmark for (1798ds/8Mi) 1.54/0.75 % (997103)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3338794091:i=23:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/23Mi) 1.54/0.75 % (997099)Instruction limit reached! 1.54/0.75 % (997099)------------------------------ 1.54/0.75 % (997099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.54/0.75 % (997099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.54/0.75 % (997101)Instruction limit reached! 1.54/0.75 % (997101)------------------------------ 1.54/0.75 % (997101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.54/0.75 % (997101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.54/0.75 % (997101)CaDiCaL version: 2.1.3 1.54/0.75 % (997099)CaDiCaL version: 2.1.3 1.54/0.75 % (997101)Termination reason: Instruction limit 1.54/0.75 % (997101)Termination phase: Saturation 1.54/0.75 % (997101)Time elapsed: 0.015 s 1.54/0.75 % (997099)Termination reason: Instruction limit 1.54/0.75 % (997099)Termination phase: Saturation 1.54/0.75 % (997101)Peak memory usage: 12 MB 1.54/0.75 % (997099)Time elapsed: 0.010 s 1.54/0.75 % (997101)Instructions burned: 32 (million) 1.54/0.75 % (997099)Peak memory usage: 12 MB 2.19/0.83 % (997099)Instructions burned: 9 (million) 2.19/0.83 % (997110)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1957122292:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1798 on theBenchmark for (1798ds/143Mi) 2.19/0.83 % (997105)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=159874099:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_1798 on theBenchmark for (1798ds/20Mi) 2.19/0.83 % (997109)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=558762280:i=1240:rtra=on:ixr=off_1798 on theBenchmark for (1798ds/1240Mi) 2.19/0.83 % (997103)Instruction limit reached! 2.19/0.83 % (997103)------------------------------ 2.19/0.83 % (997103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.83 % (997103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.83 % (997103)CaDiCaL version: 2.1.3 2.19/0.83 % (997103)Termination reason: Instruction limit 2.19/0.83 % (997103)Termination phase: Saturation 2.19/0.83 % (997103)Time elapsed: 0.022 s 2.19/0.83 % (997103)Peak memory usage: 11 MB 2.19/0.83 % (997103)Instructions burned: 29 (million) 2.19/0.83 % (997105)Instruction limit reached! 2.19/0.83 % (997105)------------------------------ 2.19/0.83 % (997105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.83 % (997105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.83 % (997105)CaDiCaL version: 2.1.3 2.19/0.83 % (997105)Termination reason: Instruction limit 2.19/0.83 % (997105)Termination phase: Saturation 2.19/0.83 % (997105)Time elapsed: 0.012 s 2.19/0.83 % (997105)Peak memory usage: 12 MB 2.19/0.83 % (997105)Instructions burned: 21 (million) 2.19/0.83 % (997076)Instruction limit reached! 2.19/0.83 % (997076)------------------------------ 2.19/0.83 % (997076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.83 % (997076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.83 % (997076)CaDiCaL version: 2.1.3 2.19/0.83 % (997076)Termination reason: Instruction limit 2.19/0.83 % (997076)Termination phase: Saturation 2.19/0.83 % (997076)Time elapsed: 0.127 s 2.19/0.83 % (997076)Peak memory usage: 13 MB 2.19/0.83 % (997076)Instructions burned: 250 (million) 2.19/0.83 % (997114)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1049121896:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_1797 on theBenchmark for (1797ds/193Mi) 2.19/0.83 % (997116)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 2.19/0.83 % (997115)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3519951255:i=42:hud=10:rtra=on_1797 on theBenchmark for (1797ds/42Mi) 2.19/0.83 % (997116)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3154667457:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1797 on theBenchmark for (1797ds/7Mi) 2.19/0.83 % (997110)Instruction limit reached! 2.19/0.83 % (997110)------------------------------ 2.19/0.83 % (997110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.83 % (997110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.83 % (997110)CaDiCaL version: 2.1.3 2.19/0.83 % (997110)Termination reason: Instruction limit 2.19/0.83 % (997110)Termination phase: Saturation 2.19/0.83 % (997110)Time elapsed: 0.040 s 2.19/0.83 % (997110)Peak memory usage: 13 MB 2.19/0.83 % (997110)Instructions burned: 145 (million) 2.19/0.83 % (997116)Instruction limit reached! 2.19/0.83 % (997116)------------------------------ 2.19/0.83 % (997116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.83 % (997116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.83 % (997116)CaDiCaL version: 2.1.3 2.19/0.83 % (997116)Termination reason: Instruction limit 2.19/0.83 % (997116)Termination phase: Saturation 2.19/0.83 % (997116)Time elapsed: 0.004 s 2.19/0.83 % (997116)Peak memory usage: 12 MB 2.19/0.83 % (997116)Instructions burned: 9 (million) 2.19/0.83 % (997051)Instruction limit reached! 2.19/0.83 % (997051)------------------------------ 2.19/0.83 % (997051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.83 % (997051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.83 % (997051)CaDiCaL version: 2.1.3 2.19/0.87 % (997051)Termination reason: Instruction limit 2.19/0.87 % (997051)Termination phase: Saturation 2.19/0.87 % (997051)Time elapsed: 0.220 s 2.19/0.87 % (997051)Peak memory usage: 13 MB 2.19/0.87 % (997051)Instructions burned: 637 (million) 2.19/0.87 % (997120)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3942155539:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_1797 on theBenchmark for (1797ds/181Mi) 2.19/0.87 % (997122)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on 2.19/0.87 % (997115)Instruction limit reached! 2.19/0.87 % (997115)------------------------------ 2.19/0.87 % (997115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.87 % (997115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.87 % (997115)CaDiCaL version: 2.1.3 2.19/0.87 % (997115)Termination reason: Instruction limit 2.19/0.87 % (997115)Termination phase: Saturation 2.19/0.87 % (997115)Time elapsed: 0.023 s 2.19/0.87 % (997115)Peak memory usage: 12 MB 2.19/0.87 % (997115)Instructions burned: 43 (million) 2.19/0.87 % (997121)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=4073551294: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) 2.19/0.87 % (997122)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2698444228:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_1797 on theBenchmark for (1797ds/6Mi) 2.19/0.87 % (997122)Instruction limit reached! 2.19/0.87 % (997122)------------------------------ 2.19/0.87 % (997122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.87 % (997122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.87 % (997122)CaDiCaL version: 2.1.3 2.19/0.87 % (997122)Termination reason: Instruction limit 2.19/0.87 % (997122)Termination phase: Saturation 2.19/0.87 % (997122)Time elapsed: 0.003 s 2.19/0.87 % (997122)Peak memory usage: 12 MB 2.19/0.87 % (997122)Instructions burned: 6 (million) 2.19/0.87 % (997124)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1772491274:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1797 on theBenchmark for (1797ds/22Mi) 2.19/0.87 % (997127)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3927266246:i=19:add=on:rtra=on_1797 on theBenchmark for (1797ds/19Mi) 2.19/0.87 % (997084)Instruction limit reached! 2.19/0.87 % (997084)------------------------------ 2.19/0.87 % (997084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.87 % (997084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.87 % (997084)CaDiCaL version: 2.1.3 2.19/0.87 % (997084)Termination reason: Instruction limit 2.19/0.87 % (997084)Termination phase: Saturation 2.19/0.87 % (997084)Time elapsed: 0.166 s 2.19/0.87 % (997084)Peak memory usage: 13 MB 2.19/0.87 % (997084)Instructions burned: 329 (million) 2.19/0.87 % (997124)Instruction limit reached! 2.19/0.87 % (997124)------------------------------ 2.19/0.87 % (997124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.87 % (997124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.87 % (997124)CaDiCaL version: 2.1.3 2.19/0.87 % (997124)Termination reason: Instruction limit 2.19/0.87 % (997124)Termination phase: Saturation 2.19/0.87 % (997124)Time elapsed: 0.011 s 2.19/0.87 % (997124)Peak memory usage: 12 MB 2.19/0.87 % (997124)Instructions burned: 22 (million) 2.19/0.87 % (997127)Instruction limit reached! 2.19/0.87 % (997127)------------------------------ 2.19/0.87 % (997127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.87 % (997127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.87 % (997127)CaDiCaL version: 2.1.3 2.19/0.87 % (997127)Termination reason: Instruction limit 2.19/0.87 % (997127)Termination phase: Saturation 2.19/0.87 % (997127)Time elapsed: 0.011 s 2.19/0.87 % (997127)Peak memory usage: 13 MB 2.19/0.87 % (997127)Instructions burned: 19 (million) 2.19/0.87 % (997120)Instruction limit reached! 2.19/0.87 % (997120)------------------------------ 2.19/0.87 % (997120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.87 % (997120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.87 % (997120)CaDiCaL version: 2.1.3 2.19/0.87 % (997120)Termination reason: Instruction limit 2.19/0.87 % (997120)Termination phase: Saturation 2.19/0.87 % (997120)Time elapsed: 0.048 s 2.19/0.87 % (997120)Peak memory usage: 13 MB 2.19/0.87 % (997120)Instructions burned: 181 (million) 2.19/0.87 % (997133)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3611823552:i=480:rtra=on_1796 on theBenchmark for (1796ds/480Mi) 2.19/0.87 % (997130)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=4010141752:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_1797 on theBenchmark for (1797ds/316Mi) 2.19/0.87 % (997131)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=2282496342: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) 2.19/0.87 % (997132)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=1962491769:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_1796 on theBenchmark for (1796ds/45Mi) 2.19/0.87 % (997114)Instruction limit reached! 2.19/0.87 % (997114)------------------------------ 2.19/0.87 % (997114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.87 % (997114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.87 % (997114)CaDiCaL version: 2.1.3 2.19/0.87 % (997114)Termination reason: Instruction limit 2.19/0.87 % (997114)Termination phase: Saturation 2.19/0.87 % (997114)Time elapsed: 0.101 s 2.19/0.87 % (997114)Peak memory usage: 13 MB 2.19/0.87 % (997114)Instructions burned: 193 (million) 2.19/0.87 % (997132)Instruction limit reached! 2.19/0.87 % (997132)------------------------------ 2.19/0.87 % (997132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.87 % (997132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.87 % (997132)CaDiCaL version: 2.1.3 2.19/0.87 % (997132)Termination reason: Instruction limit 2.19/0.87 % (997132)Termination phase: Saturation 2.19/0.87 % (997132)Time elapsed: 0.023 s 2.19/0.87 % (997132)Peak memory usage: 12 MB 2.19/0.87 % (997132)Instructions burned: 45 (million) 2.19/0.87 % (997138)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2122145698: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) 2.19/0.87 % (997121)Instruction limit reached! 2.19/0.87 % (997121)------------------------------ 2.19/0.87 % (997121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.87 % (997121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.87 % (997121)CaDiCaL version: 2.1.3 2.19/0.87 % (997121)Termination reason: Instruction limit 2.19/0.87 % (997121)Termination phase: Saturation 2.19/0.87 % (997121)Time elapsed: 0.086 s 2.19/0.87 % (997121)Peak memory usage: 13 MB 2.19/0.87 % (997121)Instructions burned: 170 (million) 2.19/0.87 % (997139)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on 2.19/0.88 % (997139)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3879211501:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_1796 on theBenchmark for (1796ds/200Mi) 2.19/0.88 % (997138)Instruction limit reached! 2.19/0.88 % (997138)------------------------------ 2.19/0.88 % (997138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.88 % (997138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.88 % (997138)CaDiCaL version: 2.1.3 2.19/0.88 % (997138)Termination reason: Instruction limit 2.19/0.88 % (997138)Termination phase: Saturation 2.19/0.88 % (997138)Time elapsed: 0.014 s 2.19/0.88 % (997138)Peak memory usage: 12 MB 2.19/0.88 % (997138)Instructions burned: 22 (million) 2.19/0.88 % (997141)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3450635181:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_1796 on theBenchmark for (1796ds/13Mi) 2.19/0.88 % (997141)Instruction limit reached! 2.19/0.88 % (997141)------------------------------ 2.19/0.88 % (997141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.88 % (997141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.88 % (997141)CaDiCaL version: 2.1.3 2.19/0.88 % (997141)Termination reason: Instruction limit 2.19/0.88 % (997141)Termination phase: Saturation 2.19/0.88 % (997141)Time elapsed: 0.008 s 2.19/0.88 % (997141)Peak memory usage: 12 MB 2.19/0.88 % (997141)Instructions burned: 13 (million) 2.19/0.88 % (997143)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=2487694939:i=66:s2at=3:nm=2:rtra=on:rawr=on_1796 on theBenchmark for (1796ds/66Mi) 2.19/0.88 % (997145)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=892190519:i=51:fsr=off:rtra=on_1796 on theBenchmark for (1796ds/51Mi) 2.19/0.88 % (997139) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-997043-997139"... 2.19/0.88 % (997143)Instruction limit reached! 2.19/0.88 % (997143)------------------------------ 2.19/0.88 % (997143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.88 % (997143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.88 % (997143)CaDiCaL version: 2.1.3 2.19/0.88 % (997143)Termination reason: Instruction limit 2.19/0.88 % (997143)Termination phase: Saturation 2.19/0.88 % (997143)Time elapsed: 0.037 s 2.19/0.88 % (997143)Peak memory usage: 13 MB 2.19/0.88 % (997143)Instructions burned: 68 (million) 2.19/0.88 % (997139)...printing done. 2.19/0.88 % (997139)Refutation found. Thanks to Tanya! 2.19/0.88 % SZS status Theorem for theBenchmark 2.19/0.88 % SZS output start Proof for theBenchmark 2.19/0.88 thf(type_def_5, type, iS: $tType). 2.19/0.88 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType). 2.19/0.88 thf(func_def_0, type, x: iS). 2.19/0.88 thf(func_def_1, type, cP: (iS > iS > iS)). 2.19/0.88 thf(func_def_2, type, c0: iS). 2.19/0.88 thf(func_def_6, type, sK0: ((iS > $o) > iS)). 2.19/0.88 thf(func_def_7, type, sK1: ((iS > $o) > iS)). 2.19/0.88 thf(func_def_8, type, sK2: (iS > iS > iS > $o)). 2.19/0.88 thf(func_def_9, type, db0: !>[X0: $tType]:(X0)). 2.19/0.88 thf(func_def_10, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))). 2.19/0.88 thf(func_def_11, type, sK3: ((iS > iS) > (iS > iS) > (iS > iS) > iS)). 2.19/0.88 thf(func_def_12, type, sK4: ((iS > iS) > (iS > iS) > (iS > iS) > iS)). 2.19/0.88 thf(func_def_13, type, db1: !>[X0: $tType]:(X0)). 2.19/0.88 thf(func_def_14, type, sK5: ((iS > iS) > iS)). 2.19/0.88 thf(func_def_15, type, sK6: ((iS > iS) > iS)). 2.19/0.88 thf(f1,conjecture,( 2.19/0.88 (! [X12 : (iS > $o)] : (((X12 @ c0) & ! [X11 : iS,X10 : iS] : (((X12 @ X10) & (X12 @ X11)) => (X12 @ (cP @ X10 @ X11)))) => ! [X10 : iS] : (X12 @ X10)) & ! [X10 : iS,X11 : iS] : (((cP @ X10 @ X11)) != c0) & ! [X13 : iS,X14 : iS,X11 : iS,X10 : iS] : ((((cP @ X10 @ X13)) = ((cP @ X11 @ X14))) => ((X13 = X14) & (X10 = X11)))) => ! [X0 : (iS > iS > iS > $o)] : ((! [X2 : iS,X3 : iS,X1 : iS] : ((((X1 = c0) & (X2 = X3)) | ((X1 = X3) & (X2 = c0)) | ? [X5 : iS,X4 : iS,X9 : iS,X7 : iS,X6 : iS,X8 : iS] : ((X0 @ X4 @ X6 @ X8) & (X0 @ X5 @ X7 @ X9) & (X3 = ((cP @ X8 @ X9))) & (X2 = ((cP @ X6 @ X7))) & (X1 = ((cP @ X4 @ X5))))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ x @ x @ x))), 2.19/0.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_INCL_LEM3_pme)). 2.19/0.88 thf(f2,negated_conjecture,( 2.19/0.88 ~((! [X12 : (iS > $o)] : (((X12 @ c0) & ! [X11 : iS,X10 : iS] : (((X12 @ X10) & (X12 @ X11)) => (X12 @ (cP @ X10 @ X11)))) => ! [X10 : iS] : (X12 @ X10)) & ! [X10 : iS,X11 : iS] : (((cP @ X10 @ X11)) != c0) & ! [X13 : iS,X14 : iS,X11 : iS,X10 : iS] : ((((cP @ X10 @ X13)) = ((cP @ X11 @ X14))) => ((X13 = X14) & (X10 = X11)))) => ! [X0 : (iS > iS > iS > $o)] : ((! [X2 : iS,X3 : iS,X1 : iS] : ((((X1 = c0) & (X2 = X3)) | ((X1 = X3) & (X2 = c0)) | ? [X5 : iS,X4 : iS,X9 : iS,X7 : iS,X6 : iS,X8 : iS] : ((X0 @ X4 @ X6 @ X8) & (X0 @ X5 @ X7 @ X9) & (X3 = ((cP @ X8 @ X9))) & (X2 = ((cP @ X6 @ X7))) & (X1 = ((cP @ X4 @ X5))))) => (X0 @ X1 @ X2 @ X3)) & $true) => (X0 @ x @ x @ x)))), 2.19/0.88 inference(negated_conjecture,[status(cth)],[f1])). 2.19/0.88 thf(f3,plain,( 2.19/0.88 ~((! [X0 : (iS > $o)] : (((X0 @ c0) & ! [X1 : iS,X2 : iS] : (((X0 @ X2) & (X0 @ X1)) => (X0 @ (cP @ X2 @ X1)))) => ! [X3 : iS] : (X0 @ X3)) & ! [X4 : iS,X5 : iS] : (((cP @ X4 @ X5)) != c0) & ! [X6 : iS,X7 : iS,X8 : iS,X9 : iS] : ((((cP @ X9 @ X6)) = ((cP @ X8 @ X7))) => ((X6 = X7) & (X8 = X9)))) => ! [X10 : (iS > iS > iS > $o)] : ((! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 = X13) & (X11 = X12)) | ((X12 = X13) & (c0 = X11)) | ? [X14 : iS,X15 : iS,X16 : iS,X17 : iS,X18 : iS,X19 : iS] : ((X10 @ X15 @ X18 @ X19) & (X10 @ X14 @ X17 @ X16) & (((cP @ X19 @ X16)) = X12) & (((cP @ X18 @ X17)) = X11) & (((cP @ X15 @ X14)) = X13))) => (X10 @ X13 @ X11 @ X12)) & $true) => (X10 @ x @ x @ x)))), 2.19/0.88 inference(rectify,[],[f2])). 2.19/0.88 thf(f4,plain,( 2.19/0.88 ~((! [X9 : iS,X8 : iS,X7 : iS,X6 : iS] : ((((cP @ X9 @ X6)) = ((cP @ X8 @ X7))) => ((X8 = X9) & (X6 = X7))) & ! [X0 : (iS > $o)] : ((! [X1 : iS,X2 : iS] : (((((X0 @ X1)) = $true) & (((X0 @ X2)) = $true)) => (((X0 @ (cP @ X2 @ X1))) = $true)) & (((X0 @ c0)) = $true)) => ! [X3 : iS] : (((X0 @ X3)) = $true)) & ! [X4 : iS,X5 : iS] : (((cP @ X4 @ X5)) != c0)) => ! [X10 : (iS > iS > iS > $o)] : ((! [X12 : iS,X11 : iS,X13 : iS] : ((((X12 = X13) & (c0 = X11)) | ((c0 = X13) & (X11 = X12)) | ? [X14 : iS,X18 : iS,X15 : iS,X16 : iS,X17 : iS,X19 : iS] : ((((X10 @ X14 @ X17 @ X16)) = $true) & (((cP @ X18 @ X17)) = X11) & (((cP @ X19 @ X16)) = X12) & (((cP @ X15 @ X14)) = X13) & (((X10 @ X15 @ X18 @ X19)) = $true))) => (((X10 @ X13 @ X11 @ X12)) = $true)) & $true) => (((X10 @ x @ x @ x)) = $true)))), 2.19/0.88 inference(fool_elimination,[],[f3])). 2.19/0.88 thf(f5,plain,( 2.19/0.88 ~((! [X9 : iS,X8 : iS,X7 : iS,X6 : iS] : ((((cP @ X9 @ X6)) = ((cP @ X8 @ X7))) => ((X8 = X9) & (X6 = X7))) & ! [X0 : (iS > $o)] : ((! [X1 : iS,X2 : iS] : (((((X0 @ X1)) = $true) & (((X0 @ X2)) = $true)) => (((X0 @ (cP @ X2 @ X1))) = $true)) & (((X0 @ c0)) = $true)) => ! [X3 : iS] : (((X0 @ X3)) = $true)) & ! [X4 : iS,X5 : iS] : (((cP @ X4 @ X5)) != c0)) => ! [X10 : (iS > iS > iS > $o)] : (! [X12 : iS,X11 : iS,X13 : iS] : ((((X12 = X13) & (c0 = X11)) | ((c0 = X13) & (X11 = X12)) | ? [X14 : iS,X18 : iS,X15 : iS,X16 : iS,X17 : iS,X19 : iS] : ((((X10 @ X14 @ X17 @ X16)) = $true) & (((cP @ X18 @ X17)) = X11) & (((cP @ X19 @ X16)) = X12) & (((cP @ X15 @ X14)) = X13) & (((X10 @ X15 @ X18 @ X19)) = $true))) => (((X10 @ X13 @ X11 @ X12)) = $true)) => (((X10 @ x @ x @ x)) = $true)))), 2.19/0.88 inference(true_and_false_elimination,[],[f4])). 2.19/0.88 thf(f6,plain,( 2.19/0.88 ? [X10 : (iS > iS > iS > $o)] : (! [X13 : iS,X11 : iS,X12 : iS] : ((! [X14 : iS,X15 : iS,X18 : iS,X19 : iS,X16 : iS,X17 : iS] : ((((X10 @ X15 @ X18 @ X19)) != $true) | (((cP @ X18 @ X17)) != X11) | (((cP @ X19 @ X16)) != X12) | (((X10 @ X14 @ X17 @ X16)) != $true) | (((cP @ X15 @ X14)) != X13)) & ((c0 != X11) | (X12 != X13)) & ((c0 != X13) | (X11 != X12))) | (((X10 @ X13 @ X11 @ X12)) = $true)) & (((X10 @ x @ x @ x)) != $true)) & (! [X9 : iS,X6 : iS,X8 : iS,X7 : iS] : (((X8 = X9) & (X6 = X7)) | (((cP @ X9 @ X6)) != ((cP @ X8 @ X7)))) & ! [X0 : (iS > $o)] : (! [X3 : iS] : (((X0 @ X3)) = $true) | (? [X1 : iS,X2 : iS] : ((((X0 @ (cP @ X2 @ X1))) != $true) & ((((X0 @ X1)) = $true) & (((X0 @ X2)) = $true))) | (((X0 @ c0)) != $true))) & ! [X4 : iS,X5 : iS] : (((cP @ X4 @ X5)) != c0))), 2.19/0.88 inference(ennf_transformation,[],[f5])). 2.19/0.88 thf(f7,plain,( 2.19/0.88 ! [X9 : iS,X6 : iS,X8 : iS,X7 : iS] : (((X8 = X9) & (X6 = X7)) | (((cP @ X9 @ X6)) != ((cP @ X8 @ X7)))) & ! [X4 : iS,X5 : iS] : (((cP @ X4 @ X5)) != c0) & ! [X0 : (iS > $o)] : ((((X0 @ c0)) != $true) | ? [X2 : iS,X1 : iS] : ((((X0 @ X1)) = $true) & (((X0 @ X2)) = $true) & (((X0 @ (cP @ X2 @ X1))) != $true)) | ! [X3 : iS] : (((X0 @ X3)) = $true)) & ? [X10 : (iS > iS > iS > $o)] : (! [X13 : iS,X11 : iS,X12 : iS] : ((! [X14 : iS,X15 : iS,X18 : iS,X19 : iS,X16 : iS,X17 : iS] : ((((X10 @ X15 @ X18 @ X19)) != $true) | (((cP @ X18 @ X17)) != X11) | (((cP @ X19 @ X16)) != X12) | (((X10 @ X14 @ X17 @ X16)) != $true) | (((cP @ X15 @ X14)) != X13)) & ((c0 != X11) | (X12 != X13)) & ((c0 != X13) | (X11 != X12))) | (((X10 @ X13 @ X11 @ X12)) = $true)) & (((X10 @ x @ x @ x)) != $true))), 2.19/0.88 inference(flattening,[],[f6])). 2.19/0.88 thf(f8,plain,( 2.19/0.88 ! [X0 : iS,X1 : iS,X2 : iS,X3 : iS] : (((X0 = X2) & (X1 = X3)) | (((cP @ X2 @ X3)) != ((cP @ X0 @ X1)))) & ! [X4 : iS,X5 : iS] : (((cP @ X4 @ X5)) != c0) & ! [X6 : (iS > $o)] : ((((X6 @ c0)) != $true) | ? [X7 : iS,X8 : iS] : ((((X6 @ X8)) = $true) & (((X6 @ X7)) = $true) & (((X6 @ (cP @ X7 @ X8))) != $true)) | ! [X9 : iS] : (((X6 @ X9)) = $true)) & ? [X10 : (iS > iS > iS > $o)] : (! [X11 : iS,X12 : iS,X13 : iS] : ((! [X14 : iS,X15 : iS,X16 : iS,X17 : iS,X18 : iS,X19 : iS] : ((((X10 @ X15 @ X16 @ X17)) != $true) | (((cP @ X16 @ X19)) != X12) | (((cP @ X17 @ X18)) != X13) | (((X10 @ X14 @ X19 @ X18)) != $true) | (((cP @ X15 @ X14)) != X11)) & ((c0 != X12) | (X11 != X13)) & ((c0 != X11) | (X12 != X13))) | (((X10 @ X11 @ X12 @ X13)) = $true)) & (((X10 @ x @ x @ x)) != $true))), 2.19/0.88 inference(rectify,[],[f7])). 2.19/0.88 thf(f9,plain,( 2.19/0.88 ! [X0 : iS,X1 : iS,X2 : iS,X3 : iS] : (((X0 = X2) & (X1 = X3)) | (((cP @ X2 @ X3)) != ((cP @ X0 @ X1)))) & ! [X4 : iS,X5 : iS] : (((cP @ X4 @ X5)) != c0) & ! [X6 : (iS > $o)] : ((((X6 @ c0)) != $true) | ((((X6 @ (sK1 @ X6))) = $true) & (((X6 @ (sK0 @ X6))) = $true) & (((X6 @ (cP @ (sK0 @ X6) @ (sK1 @ X6)))) != $true)) | ! [X9 : iS] : (((X6 @ X9)) = $true)) & (! [X11 : iS,X12 : iS,X13 : iS] : ((! [X14 : iS,X15 : iS,X16 : iS,X17 : iS,X18 : iS,X19 : iS] : ((((sK2 @ X15 @ X16 @ X17)) != $true) | (((cP @ X16 @ X19)) != X12) | (((cP @ X17 @ X18)) != X13) | ($true != ((sK2 @ X14 @ X19 @ X18))) | (((cP @ X15 @ X14)) != X11)) & ((c0 != X12) | (X11 != X13)) & ((c0 != X11) | (X12 != X13))) | (((sK2 @ X11 @ X12 @ X13)) = $true)) & (((sK2 @ x @ x @ x)) != $true))), 2.19/0.88 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,sK2]),skolemize(X8,sK1 @ X6),skolemize(X8,sK1 @ X6),skolemize(X10,sK2)],[f8])). 2.19/0.88 thf(f10,plain,( 2.19/0.88 (((sK2 @ x @ x @ x)) != $true)), 2.19/0.88 inference(cnf_transformation,[],[f9])). 2.19/0.88 thf(f12,plain,( 2.19/0.88 ( ! [X11 : iS,X12 : iS,X13 : iS] : ((c0 != X12) | (X11 != X13) | (((sK2 @ X11 @ X12 @ X13)) = $true)) )), 2.19/0.88 inference(cnf_transformation,[],[f9])). 2.19/0.88 thf(f13,plain,( 2.19/0.88 ( ! [X11 : iS,X18 : iS,X19 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS,X12 : iS,X13 : iS] : ((((sK2 @ X15 @ X16 @ X17)) != $true) | (((cP @ X16 @ X19)) != X12) | (((cP @ X17 @ X18)) != X13) | ($true != ((sK2 @ X14 @ X19 @ X18))) | (((cP @ X15 @ X14)) != X11) | (((sK2 @ X11 @ X12 @ X13)) = $true)) )), 2.19/0.88 inference(cnf_transformation,[],[f9])). 2.19/0.88 thf(f14,plain,( 2.19/0.88 ( ! [X6 : (iS > $o),X9 : iS] : ((((X6 @ (cP @ (sK0 @ X6) @ (sK1 @ X6)))) != $true) | (((X6 @ X9)) = $true) | (((X6 @ c0)) != $true)) )), 2.19/0.88 inference(cnf_transformation,[],[f9])). 2.19/0.88 thf(f15,plain,( 2.19/0.88 ( ! [X6 : (iS > $o),X9 : iS] : ((((X6 @ (sK0 @ X6))) = $true) | (((X6 @ X9)) = $true) | (((X6 @ c0)) != $true)) )), 2.19/0.88 inference(cnf_transformation,[],[f9])). 2.19/0.88 thf(f16,plain,( 2.19/0.88 ( ! [X6 : (iS > $o),X9 : iS] : ((((X6 @ (sK1 @ X6))) = $true) | (((X6 @ X9)) = $true) | (((X6 @ c0)) != $true)) )), 2.19/0.88 inference(cnf_transformation,[],[f9])). 2.19/0.88 thf(f22,plain,( 2.19/0.88 ( ! [X11 : iS,X18 : iS,X19 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS,X13 : iS] : ((((sK2 @ X15 @ X16 @ X17)) != $true) | (((cP @ X17 @ X18)) != X13) | ($true != ((sK2 @ X14 @ X19 @ X18))) | (((cP @ X15 @ X14)) != X11) | (((sK2 @ X11 @ (cP @ X16 @ X19) @ X13)) = $true)) )), 2.19/0.88 inference(equality_resolution,[],[f13])). 2.19/0.88 thf(f23,plain,( 2.19/0.88 ( ! [X11 : iS,X18 : iS,X19 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS] : ((((sK2 @ X15 @ X16 @ X17)) != $true) | ($true != ((sK2 @ X14 @ X19 @ X18))) | (((cP @ X15 @ X14)) != X11) | (((sK2 @ X11 @ (cP @ X16 @ X19) @ (cP @ X17 @ X18))) = $true)) )), 2.19/0.88 inference(equality_resolution,[],[f22])). 2.19/0.88 thf(f24,plain,( 2.19/0.88 ( ! [X18 : iS,X19 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS] : ((((sK2 @ (cP @ X15 @ X14) @ (cP @ X16 @ X19) @ (cP @ X17 @ X18))) = $true) | ($true != ((sK2 @ X14 @ X19 @ X18))) | (((sK2 @ X15 @ X16 @ X17)) != $true)) )), 2.19/0.88 inference(equality_resolution,[],[f23])). 2.19/0.88 thf(f25,plain,( 2.19/0.88 ( ! [X11 : iS,X13 : iS] : ((X11 != X13) | (((sK2 @ X11 @ c0 @ X13)) = $true)) )), 2.19/0.88 inference(equality_resolution,[],[f12])). 2.19/0.88 thf(f26,plain,( 2.19/0.88 ( ! [X13 : iS] : (($true = ((sK2 @ X13 @ c0 @ X13)))) )), 2.19/0.88 inference(equality_resolution,[],[f25])). 2.19/0.88 thf(f67,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((sK2 @ X3 @ X5 @ X7)) != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X7) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X6) | (((sK2 @ X2 @ X4 @ X6)) != $true) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ($true != $true) | (((cP @ X4 @ X5)) != ((X1 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | (((cP @ X2 @ X3)) != ((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))))) )), 2.19/0.88 inference(constrained_superposition,[],[f14,f24])). 2.19/0.88 thf(f71,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((sK2 @ X3 @ X5 @ X7)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X6) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X7) | (((cP @ X4 @ X5)) != ((X1 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | (((cP @ X2 @ X3)) != ((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | (((sK2 @ X2 @ X4 @ X6)) != $true)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f67])). 2.19/0.88 thf(f72,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((cP @ X4 @ X5)) != ((X1 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | (((sK2 @ X3 @ X5 @ X7)) != $true) | (((sK2 @ (X0 @ c0) @ (X1 @ c0) @ c0)) != $true) | (((cP @ X2 @ X3)) != ((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X7) | (((sK2 @ X2 @ X4 @ X6)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X6) | (((sK2 @ (X0 @ X8) @ (X1 @ X8) @ X8)) = $true)) )), 2.19/0.88 inference(beta-eta_normalization,[],[f71])). 2.19/0.88 thf(f239,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : (iS > $o),X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ Y0)))) != X5) | (((sK2 @ (X3 @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)) != $true) | (((sK2 @ X4 @ X5 @ X6)) != $true) | ((^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ Y0)) != X1) | (((sK2 @ X0 @ (sK1 @ X1) @ X2)) != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0)))) != X2) | (((X3 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0)))))) != ((cP @ X4 @ X0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0)))) != X6) | (((sK2 @ (X3 @ X7) @ ((^[Y0 : iS]: (Y0)) @ X7) @ X7)) = $true)) )), 2.19/0.88 inference(equality_resolution,[],[f72])). 2.19/0.88 thf(f241,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : (iS > $o),X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((X3 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ Y0)))))) != ((cP @ X4 @ X0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ Y0)))) != X5) | (((sK2 @ (X3 @ X7) @ X7 @ X7)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ Y0)))) != X6) | (((sK2 @ (X3 @ c0) @ c0 @ c0)) != $true) | ((^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ Y0)) != X1) | (((sK2 @ X0 @ (sK1 @ X1) @ X2)) != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ Y0)))) != X2) | (((sK2 @ X4 @ X5 @ X6)) != $true)) )), 2.19/0.88 inference(beta-eta_normalization,[],[f239])). 2.19/0.88 thf(f243,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > $o),X0 : iS,X1 : iS,X6 : iS,X4 : (iS > $o),X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((sK1 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)))) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)))) != X2) | (((sK2 @ X6 @ X0 @ X2)) != $true) | (((sK2 @ (sK1 @ X4) @ (sK1 @ X3) @ X5)) != $true) | ((^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)))) != X0) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ c0)) != $true) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X1) @ X1 @ X1)) = $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4)) )), 2.19/0.88 inference(equality_resolution,[],[f241])). 2.19/0.88 thf(f245,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > $o),X0 : iS,X1 : iS,X6 : iS,X4 : (iS > $o),X5 : iS] : ((((sK2 @ X6 @ X0 @ X2)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4) | (((sK2 @ X1 @ X1 @ X1)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ (sK1 @ X4) @ (sK1 @ X3) @ X5)) != $true) | (((sK2 @ c0 @ c0 @ c0)) != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5)) )), 2.19/0.88 inference(beta-eta_normalization,[],[f243])). 2.19/0.88 thf(f247,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > $o),X0 : iS,X1 : iS,X6 : iS,X4 : (iS > $o),X5 : iS] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((sK2 @ X6 @ X0 @ X2)) != $true) | ($true != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X1 @ X1 @ X1)) = $true) | (((sK2 @ (sK1 @ X4) @ (sK1 @ X3) @ X5)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4)) )), 2.19/0.88 inference(forward_demodulation,[],[f245,f26])). 2.19/0.88 thf(f248,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > $o),X0 : iS,X1 : iS,X6 : iS,X4 : (iS > $o),X5 : iS] : ((((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X1 @ X1 @ X1)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X3) | (((sK2 @ (sK1 @ X4) @ (sK1 @ X3) @ X5)) != $true) | (((sK2 @ X6 @ X0 @ X2)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f247])). 2.19/0.88 thf(f249,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X4 : (iS > $o),X5 : (iS > $o)] : ((((sK2 @ (sK1 @ X5) @ (sK1 @ X4) @ (sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))))) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X5) | (((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X2 @ X1 @ X3)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3)) )), 2.19/0.88 inference(equality_resolution,[],[f248])). 2.19/0.88 thf(f255,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : (iS > $o),X1 : (iS > $o),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (($true = ((sK2 @ X5 @ X5 @ X5))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X7) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ($true != $true) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ((^[Y0 : iS]: (Y0)) != X3) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | (((sK1 @ X1)) != ((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0)))))) | (((X2 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != ((sK1 @ X0))) | (((sK2 @ X6 @ X4 @ X7)) != $true)) )), 2.19/0.88 inference(constrained_superposition,[],[f249,f16])). 2.19/0.88 thf(f261,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : (iS > $o),X1 : (iS > $o),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK2 @ X6 @ X4 @ X7)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK1 @ X1)) != ((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0)))))) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X7) | (((X2 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != ((sK1 @ X0))) | ($true = ((sK2 @ X5 @ X5 @ X5)))) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f255])). 2.19/0.88 thf(f262,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : (iS > $o),X1 : (iS > $o),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((sK1 @ X1)) != ((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0)))))) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((X2 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != ((sK1 @ X0))) | (((sK2 @ (X2 @ X8) @ (X3 @ X8) @ X8)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((sK2 @ (X2 @ c0) @ (X3 @ c0) @ c0)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | ($true = ((sK2 @ X5 @ X5 @ X5))) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK2 @ X6 @ X4 @ X7)) != $true) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X7)) )), 2.19/0.88 inference(beta-eta_normalization,[],[f261])). 2.19/0.88 thf(f265,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : (iS > $o),X1 : (iS > iS),X8 : iS,X6 : (iS > iS),X9 : iS,X7 : iS,X4 : (iS > iS),X5 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK2 @ X3 @ X8 @ X9)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X8) | ((^[Y0 : iS]: (Y0)) != X6) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X4 @ Y0) @ (X5 @ Y0) @ (X6 @ Y0)))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X9) | (((sK2 @ (X1 @ X2) @ ((^[Y0 : iS]: (Y0)) @ X2) @ X2)) = $true) | (((sK2 @ (X1 @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)) != $true) | (X1 != X4) | ((^[Y0 : iS]: (Y0)) != X5) | (((X1 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))) != ((sK1 @ X0))) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((sK2 @ X7 @ X7 @ X7)) = $true)) )), 2.19/0.88 inference(equality_resolution,[],[f262])). 2.19/0.88 thf(f268,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : (iS > $o),X1 : (iS > iS),X8 : iS,X6 : (iS > iS),X9 : iS,X7 : iS,X4 : (iS > iS),X5 : (iS > iS)] : ((X1 != X4) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X4 @ Y0) @ (X5 @ Y0) @ (X6 @ Y0)))) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((sK2 @ X7 @ X7 @ X7)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X8) | (((sK2 @ (X1 @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)) != $true) | (((X1 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))) != ((sK1 @ X0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK2 @ X3 @ X8 @ X9)) != $true) | ((^[Y0 : iS]: (Y0)) != X6) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X9) | (((sK2 @ (X1 @ X2) @ ((^[Y0 : iS]: (Y0)) @ X2) @ X2)) = $true) | ((^[Y0 : iS]: (Y0)) != X5)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f265])). 2.19/0.88 thf(f269,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : (iS > $o),X1 : (iS > iS),X8 : iS,X6 : (iS > iS),X9 : iS,X7 : iS,X4 : (iS > iS),X5 : (iS > iS)] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X4 @ Y0) @ (X5 @ Y0) @ (X6 @ Y0)))) | (((X1 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X1 @ Y0) @ Y0 @ Y0))))) != ((sK1 @ X0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X9) | (((sK2 @ (X1 @ c0) @ c0 @ c0)) != $true) | (((sK2 @ X7 @ X7 @ X7)) = $true) | (((sK2 @ (X1 @ X2) @ X2 @ X2)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | ((^[Y0 : iS]: (Y0)) != X5) | ((^[Y0 : iS]: (Y0)) != X1) | ((^[Y0 : iS]: (Y0)) != X6) | (((sK2 @ X3 @ X8 @ X9)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X8) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (X1 != X4)) )), 2.19/0.88 inference(beta-eta_normalization,[],[f268])). 2.19/0.88 thf(f271,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > $o),X6 : (iS > iS),X7 : iS,X4 : iS,X5 : iS] : (((^[Y0 : iS]: (Y0)) != X0) | (((sK2 @ (X0 @ c0) @ c0 @ c0)) != $true) | (((sK1 @ X1)) != ((X0 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))))) | (((sK2 @ X3 @ X3 @ X3)) = $true) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((^[Y0 : iS]: (Y0)) != X6) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ (X0 @ X4) @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X6) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X7) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (Y0)) != X0) | (((sK2 @ X5 @ X7 @ X2)) != $true)) )), 2.19/0.88 inference(equality_resolution,[],[f269])). 2.19/0.88 thf(f276,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > $o),X6 : (iS > iS),X7 : iS,X4 : iS,X5 : iS] : ((((sK2 @ X3 @ X3 @ X3)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK1 @ X1)) != ((X0 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))))) | ((^[Y0 : iS]: (Y0)) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ (X0 @ c0) @ c0 @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X7) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK2 @ (X0 @ X4) @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X6) | (((sK2 @ X5 @ X7 @ X2)) != $true)) )), 2.19/0.88 inference(duplicate_literal_removal,[],[f271])). 2.19/0.88 thf(f277,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > $o),X6 : (iS > iS),X7 : iS,X4 : iS,X5 : iS] : ((((sK1 @ X1)) != ((X0 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X3 @ X3 @ X3)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X7) | ((^[Y0 : iS]: (Y0)) != X0) | ((^[Y0 : iS]: (Y0)) != X6) | (((sK2 @ (X0 @ X4) @ X4 @ X4)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X5 @ X7 @ X2)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK2 @ (X0 @ c0) @ c0 @ c0)) != $true)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f276])). 2.19/0.88 thf(f293,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : (iS > iS),X6 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ c0)) != $true) | ((^[Y0 : iS]: (Y0)) != X7) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (Y0)) != X8) | ((^[Y0 : iS]: (Y0)) != X6) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X1 @ X1 @ X1)) = $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X6 @ Y0) @ (X7 @ Y0) @ (X8 @ Y0)))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X0 @ X2 @ X5)) != $true) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X4) @ X4 @ X4)) = $true)) )), 2.19/0.88 inference(equality_resolution,[],[f277])). 2.19/0.88 thf(f296,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : (iS > iS),X6 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : iS] : ((((sK2 @ X0 @ X2 @ X5)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X6 @ Y0) @ (X7 @ Y0) @ (X8 @ Y0)))) | ((^[Y0 : iS]: (Y0)) != X8) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (Y0)) != X6) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X4) @ X4 @ X4)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (Y0)) != X7) | (((sK2 @ X1 @ X1 @ X1)) = $true) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ c0)) != $true)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f293])). 2.19/0.88 thf(f297,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : (iS > iS),X6 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X1 @ X1 @ X1)) = $true) | ((^[Y0 : iS]: (Y0)) != X7) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ c0 @ c0 @ c0)) != $true) | (((sK2 @ X0 @ X2 @ X5)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X6) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X6 @ Y0) @ (X7 @ Y0) @ (X8 @ Y0)))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X8)) )), 2.19/0.88 inference(beta-eta_normalization,[],[f296])). 2.19/0.88 thf(f298,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : (iS > iS),X6 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ($true != $true) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (Y0)) != X8) | ((^[Y0 : iS]: (Y0)) != X7) | (((sK2 @ X1 @ X1 @ X1)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ X0 @ X2 @ X5)) != $true) | ((^[Y0 : iS]: (Y0)) != X6) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X6 @ Y0) @ (X7 @ Y0) @ (X8 @ Y0)))) | (((sK2 @ X4 @ X4 @ X4)) = $true)) )), 2.19/0.88 inference(forward_demodulation,[],[f297,f26])). 2.19/0.88 thf(f299,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : (iS > iS),X6 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : iS] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X6 @ Y0) @ (X7 @ Y0) @ (X8 @ Y0)))) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X8) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X1 @ X1 @ X1)) = $true) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (Y0)) != X7) | (((sK2 @ X0 @ X2 @ X5)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X6)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f298])). 2.19/0.88 thf(f301,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X6 : iS,X4 : (iS > iS),X5 : iS] : ((((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK2 @ X5 @ X1 @ X6)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((sK2 @ X2 @ X2 @ X2)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X4) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5)) )), 2.19/0.88 inference(equality_resolution,[],[f299])). 2.19/0.88 thf(f302,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X6 : iS,X4 : (iS > iS),X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X2 @ X2 @ X2)) = $true) | (((sK2 @ X5 @ X1 @ X6)) != $true) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK2 @ X0 @ X0 @ X0)) = $true)) )), 2.19/0.88 inference(duplicate_literal_removal,[],[f301])). 2.19/0.88 thf(f303,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X6 : iS,X4 : (iS > iS),X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X0 @ X0 @ X0)) = $true) | (((sK2 @ X2 @ X2 @ X2)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK2 @ X5 @ X1 @ X6)) != $true) | ((^[Y0 : iS]: (Y0)) != X4) | ((^[Y0 : iS]: (Y0)) != X3)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f302])). 2.19/0.88 thf(f308,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : iS,X4 : (iS > iS),X5 : (iS > iS)] : ((((sK2 @ X0 @ X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))))) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ X1 @ X1 @ X1)) = $true) | (((sK2 @ X2 @ X2 @ X2)) = $true) | ((^[Y0 : iS]: (Y0)) != X5) | ((^[Y0 : iS]: (Y0)) != X4)) )), 2.19/0.88 inference(equality_resolution,[],[f303])). 2.19/0.88 thf(f334,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : iS] : (((^[Y0 : iS]: (Y0)) != X7) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((X2 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X0) | ((^[Y0 : iS]: (Y0)) != X6) | (((X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X1) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X3) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ($true != $true) | ($true = ((sK2 @ X5 @ X5 @ X5))) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0)) )), 2.19/0.88 inference(constrained_superposition,[],[f308,f15])). 2.19/0.88 thf(f345,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : iS] : ((((X2 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X0) | ((^[Y0 : iS]: (Y0)) != X6) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X7) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ((^[Y0 : iS]: (Y0)) != X2) | (((X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X3) | ($true = ((sK2 @ X5 @ X5 @ X5))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f334])). 2.19/0.88 thf(f346,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : (iS > iS),X7 : (iS > iS),X4 : iS,X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK2 @ (X2 @ c0) @ (X3 @ c0) @ c0)) != $true) | ((^[Y0 : iS]: (Y0)) != X7) | (((sK2 @ X4 @ X4 @ X4)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X2) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (Y0)) != X6) | ($true = ((sK2 @ X5 @ X5 @ X5))) | (((sK2 @ (X2 @ X8) @ (X3 @ X8) @ X8)) = $true) | (((X2 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X0) | (((X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != X1)) )), 2.19/0.88 inference(beta-eta_normalization,[],[f345])). 2.19/0.88 thf(f363,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X6 : iS,X7 : iS,X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != ((X1 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK2 @ (X0 @ X7) @ (X1 @ X7) @ X7)) = $true) | ((^[Y0 : iS]: (Y0)) != X0) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK2 @ X3 @ X3 @ X3)) = $true) | (((sK2 @ X6 @ X6 @ X6)) = $true) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK2 @ (X0 @ c0) @ (X1 @ c0) @ c0)) != $true) | (((X0 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))) != X4)) )), 2.19/0.88 inference(equality_resolution,[],[f346])). 2.19/0.88 thf(f368,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : (iS > iS),X5 : iS] : (((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)) != $true) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X0) @ ((^[Y0 : iS]: (Y0)) @ X0) @ X0)) = $true) | (((sK2 @ X2 @ X2 @ X2)) = $true) | (((sK2 @ X3 @ X3 @ X3)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((((^[Y0 : iS]: (Y0)) @ (sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))) != X5) | ((^[Y0 : iS]: (Y0)) != X4) | ((^[Y0 : iS]: (Y0)) != X1)) )), 2.19/0.88 inference(equality_resolution,[],[f363])). 2.19/0.88 thf(f370,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : (iS > iS),X5 : iS] : (((^[Y0 : iS]: (Y0)) != X4) | (((sK2 @ X3 @ X3 @ X3)) = $true) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X0) @ ((^[Y0 : iS]: (Y0)) @ X0) @ X0)) = $true) | (((sK2 @ X2 @ X2 @ X2)) = $true) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((((^[Y0 : iS]: (Y0)) @ (sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))) != X5)) )), 2.19/0.88 inference(duplicate_literal_removal,[],[f368])). 2.19/0.88 thf(f371,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : (iS > iS),X5 : iS] : ((((sK2 @ X2 @ X2 @ X2)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X3 @ X3 @ X3)) = $true) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X0) @ ((^[Y0 : iS]: (Y0)) @ X0) @ X0)) = $true) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)) != $true) | ((((^[Y0 : iS]: (Y0)) @ (sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))) != X5) | ((^[Y0 : iS]: (Y0)) != X1)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f370])). 2.19/0.88 thf(f372,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : (iS > iS),X5 : iS] : ((((sK2 @ X0 @ X0 @ X0)) = $true) | (((sK2 @ X3 @ X3 @ X3)) = $true) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK2 @ c0 @ c0 @ c0)) != $true) | (((sK2 @ X2 @ X2 @ X2)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5)) )), 2.19/0.88 inference(beta-eta_normalization,[],[f371])). 2.19/0.88 thf(f373,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : (iS > iS),X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X0 @ X0 @ X0)) = $true) | (((sK2 @ X3 @ X3 @ X3)) = $true) | (((sK2 @ c0 @ c0 @ c0)) != $true) | ((^[Y0 : iS]: (Y0)) != X4) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK2 @ X2 @ X2 @ X2)) = $true)) )), 2.19/0.88 inference(duplicate_literal_removal,[],[f372])). 2.19/0.88 thf(f375,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : (iS > iS),X5 : iS] : ((((sK2 @ X3 @ X3 @ X3)) = $true) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X0 @ X0 @ X0)) = $true) | ($true != $true) | (((sK2 @ X2 @ X2 @ X2)) = $true) | ((^[Y0 : iS]: (Y0)) != X1)) )), 2.19/0.88 inference(forward_demodulation,[],[f373,f26])). 2.19/0.88 thf(f376,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : (iS > iS),X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X2 @ X2 @ X2)) = $true) | (((sK2 @ X0 @ X0 @ X0)) = $true) | (((sK2 @ X3 @ X3 @ X3)) = $true) | ((^[Y0 : iS]: (Y0)) != X4) | ((^[Y0 : iS]: (Y0)) != X1)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f375])). 2.19/0.88 thf(f377,plain,( 2.19/0.88 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X4 : (iS > iS)] : ((((sK2 @ X2 @ X2 @ X2)) = $true) | (((sK2 @ X0 @ X0 @ X0)) = $true) | (((sK2 @ X1 @ X1 @ X1)) = $true) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (Y0)) != X4)) )), 2.19/0.88 inference(equality_resolution,[],[f376])). 2.19/0.88 thf(f386,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS] : (((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X1 @ X1 @ X1)) = $true) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK2 @ X0 @ X0 @ X0)) = $true) | ($true != $true)) )), 2.19/0.88 inference(equality_factoring,[],[f377])). 2.19/0.88 thf(f392,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS] : ((((sK2 @ X1 @ X1 @ X1)) = $true) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (Y0)) != X2)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f386])). 2.19/0.88 thf(f417,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X0 : iS,X1 : (iS > iS)] : ((((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (Y0)) != X2) | ((^[Y0 : iS]: (Y0)) != X1) | ($true != $true)) )), 2.19/0.88 inference(equality_factoring,[],[f392])). 2.19/0.88 thf(f424,plain,( 2.19/0.88 ( ! [X2 : (iS > iS),X0 : iS,X1 : (iS > iS)] : ((((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (Y0)) != X1) | ((^[Y0 : iS]: (Y0)) != X2)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f417])). 2.19/0.88 thf(f437,plain,( 2.19/0.88 ( ! [X0 : (iS > iS),X1 : (iS > iS)] : (($true != $true) | ((^[Y0 : iS]: (Y0)) != X1) | ((^[Y0 : iS]: (Y0)) != X0)) )), 2.19/0.88 inference(constrained_superposition,[],[f10,f424])). 2.19/0.88 thf(f446,plain,( 2.19/0.88 ( ! [X0 : (iS > iS),X1 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X1) | ((^[Y0 : iS]: (Y0)) != X0)) )), 2.19/0.88 inference(trivial_inequality_removal,[],[f437])). 2.19/0.88 thf(f458,plain,( 2.19/0.88 ( ! [X0 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X0)) )), 2.19/0.88 inference(equality_resolution,[],[f446])). 2.19/0.88 thf(f465,plain,( 2.19/0.88 $false), 2.19/0.88 inference(equality_resolution,[],[f458])). 2.19/0.88 % SZS output end Proof for theBenchmark 2.19/0.88 % (997139)------------------------------ 2.19/0.88 % (997139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.19/0.88 % (997139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.19/0.88 % (997139)CaDiCaL version: 2.1.3 2.19/0.88 % (997139)Termination reason: Refutation 2.19/0.88 % (997139)Time elapsed: 0.060 s 2.19/0.88 % (997139)Peak memory usage: 12 MB 2.19/0.88 % (997139)Instructions burned: 126 (million) 2.19/0.88 % (997043)Success in time 0.433 s 2.19/0.88 % Vampire exiting 2.19/0.88 EOF