0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.15/0.41 % Computer : n031.cluster.edu 0.15/0.41 % Model : x86_64 x86_64 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.41 % Memory : 8046.5625MB 0.15/0.41 % OS : Linux 6.8.0-71-generic 0.15/0.41 % CPULimit : 1440 0.15/0.41 % WCLimit : 180 0.15/0.41 % DateTime : Mon Jul 27 13:23:56 UTC 2026 0.15/0.41 % CPUTime : 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.15/0.46 Running higher-order theorem proving 0.23/0.52 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 1.21/0.70 % (63694)Detected a higher-order problem, will run a greedy HOL sequence. 1.21/0.70 % (63705)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on 1.21/0.70 % (63705)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 1.21/0.70 % (63705)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=418070554:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_1799 on theBenchmark for (1799ds/157Mi) 1.21/0.70 % (63700)lrs+10_16_si=on:nwc=1.5:random_seed=3496252807:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_1799 on theBenchmark for (1799ds/18Mi) 1.21/0.70 % (63701)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2168738177:i=3:rtra=on:inj=on:ntd=on_1799 on theBenchmark for (1799ds/3Mi) 1.21/0.70 % (63703)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4177624901:i=24:av=off:rtra=on_1799 on theBenchmark for (1799ds/24Mi) 1.21/0.70 % (63702)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=2142104385: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) 1.21/0.70 % (63699)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=79357498:s2a=on:i=87:rtra=on:ntd=on_1799 on theBenchmark for (1799ds/87Mi) 1.21/0.70 % (63704)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1798473441:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_1799 on theBenchmark for (1799ds/75Mi) 1.21/0.70 % (63701)Instruction limit reached! 1.21/0.70 % (63701)------------------------------ 1.21/0.70 % (63701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.70 % (63701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.70 % (63701)CaDiCaL version: 2.1.3 1.21/0.70 % (63701)Termination reason: Instruction limit 1.21/0.70 % (63701)Termination phase: shuffling 1.21/0.70 % (63701)Time elapsed: 0.004 s 1.21/0.70 % (63701)Peak memory usage: 10 MB 1.21/0.70 % (63701)Instructions burned: 4 (million) 1.21/0.70 % (63700)Instruction limit reached! 1.21/0.70 % (63700)------------------------------ 1.21/0.70 % (63700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.70 % (63700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.70 % (63700)CaDiCaL version: 2.1.3 1.21/0.70 % (63700)Termination reason: Instruction limit 1.21/0.70 % (63700)Termination phase: shuffling 1.21/0.70 % (63700)Time elapsed: 0.013 s 1.21/0.70 % (63700)Peak memory usage: 10 MB 1.21/0.70 % (63700)Instructions burned: 18 (million) 1.21/0.70 % (63703)Instruction limit reached! 1.21/0.70 % (63703)------------------------------ 1.21/0.70 % (63703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.70 % (63703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.70 % (63703)CaDiCaL version: 2.1.3 1.21/0.70 % (63703)Termination reason: Instruction limit 1.21/0.70 % (63703)Termination phase: Naming 1.21/0.70 % (63703)Time elapsed: 0.018 s 1.21/0.70 % (63703)Peak memory usage: 11 MB 1.21/0.70 % (63703)Instructions burned: 24 (million) 1.21/0.70 % (63713)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1129010773:i=2:hud=10:rtra=on_1799 on theBenchmark for (1799ds/2Mi) 1.21/0.70 % (63705)Instruction limit reached! 1.21/0.70 % (63705)------------------------------ 1.21/0.70 % (63705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.70 % (63705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.70 % (63705)CaDiCaL version: 2.1.3 1.21/0.70 % (63705)Termination reason: Instruction limit 1.21/0.70 % (63705)Termination phase: Saturation 1.21/0.70 % (63705)Time elapsed: 0.055 s 1.21/0.70 % (63705)Peak memory usage: 14 MB 1.21/0.70 % (63705)Instructions burned: 159 (million) 1.21/0.70 % (63713)Instruction limit reached! 1.21/0.70 % (63713)------------------------------ 1.21/0.70 % (63713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.70 % (63713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.75 % (63713)CaDiCaL version: 2.1.3 1.21/0.75 % (63713)Termination reason: Instruction limit 1.21/0.75 % (63713)Termination phase: shuffling 1.21/0.75 % (63713)Time elapsed: 0.005 s 1.21/0.75 % (63713)Peak memory usage: 10 MB 1.21/0.75 % (63713)Instructions burned: 5 (million) 1.21/0.75 % (63714)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=640232082:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_1799 on theBenchmark for (1799ds/5Mi) 1.21/0.75 % (63715)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 1.21/0.75 % (63714)Instruction limit reached! 1.21/0.75 % (63714)------------------------------ 1.21/0.75 % (63714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.75 % (63714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.75 % (63714)CaDiCaL version: 2.1.3 1.21/0.75 % (63714)Termination reason: Instruction limit 1.21/0.75 % (63714)Termination phase: shuffling 1.21/0.75 % (63714)Time elapsed: 0.005 s 1.21/0.75 % (63714)Peak memory usage: 10 MB 1.21/0.75 % (63714)Instructions burned: 6 (million) 1.21/0.75 % (63715)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=159605629:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1799 on theBenchmark for (1799ds/7Mi) 1.21/0.75 % (63704)Instruction limit reached! 1.21/0.75 % (63704)------------------------------ 1.21/0.75 % (63704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.75 % (63704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.75 % (63704)CaDiCaL version: 2.1.3 1.21/0.75 % (63704)Termination reason: Instruction limit 1.21/0.75 % (63704)Termination phase: Property scanning 1.21/0.75 % (63704)Time elapsed: 0.056 s 1.21/0.75 % (63704)Peak memory usage: 12 MB 1.21/0.75 % (63704)Instructions burned: 78 (million) 1.21/0.75 % (63715)Instruction limit reached! 1.21/0.75 % (63715)------------------------------ 1.21/0.75 % (63715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.75 % (63715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.75 % (63715)CaDiCaL version: 2.1.3 1.21/0.75 % (63715)Termination reason: Instruction limit 1.21/0.75 % (63715)Termination phase: shuffling 1.21/0.75 % (63715)Time elapsed: 0.006 s 1.21/0.75 % (63715)Peak memory usage: 10 MB 1.21/0.75 % (63715)Instructions burned: 8 (million) 1.21/0.75 % (63699)Instruction limit reached! 1.21/0.75 % (63699)------------------------------ 1.21/0.75 % (63699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.75 % (63699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.75 % (63699)CaDiCaL version: 2.1.3 1.21/0.75 % (63699)Termination reason: Instruction limit 1.21/0.75 % (63699)Termination phase: Function definition elimination 1.21/0.75 % (63699)Time elapsed: 0.062 s 1.21/0.75 % (63699)Peak memory usage: 12 MB 1.21/0.75 % (63699)Instructions burned: 87 (million) 1.21/0.75 % (63720)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=1410588565:i=86:piset=equals:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/86Mi) 1.21/0.75 % (63719)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on 1.21/0.75 % (63719)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on 1.21/0.75 % (63717)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=689435546:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_1799 on theBenchmark for (1799ds/12Mi) 1.21/0.75 % (63719)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3568548421:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_1798 on theBenchmark for (1798ds/28Mi) 1.21/0.75 % (63717)Instruction limit reached! 1.21/0.75 % (63717)------------------------------ 1.21/0.75 % (63717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.21/0.75 % (63717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.21/0.75 % (63717)CaDiCaL version: 2.1.3 1.21/0.75 % (63717)Termination reason: Instruction limit 1.76/0.80 % (63717)Termination phase: shuffling 1.76/0.80 % (63717)Time elapsed: 0.009 s 1.76/0.80 % (63717)Peak memory usage: 10 MB 1.76/0.80 % (63717)Instructions burned: 13 (million) 1.76/0.80 % (63723)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on 1.76/0.80 % (63722)lrs+10_1_si=on:cs=on:random_seed=1116210493:i=8:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/8Mi) 1.76/0.80 % (63723)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=3765583707:i=2:add=on:rtra=on_1798 on theBenchmark for (1798ds/2Mi) 1.76/0.80 % (63724)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2399325463:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_1798 on theBenchmark for (1798ds/38Mi) 1.76/0.80 % (63723)Instruction limit reached! 1.76/0.80 % (63723)------------------------------ 1.76/0.80 % (63723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.76/0.80 % (63723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.76/0.80 % (63723)CaDiCaL version: 2.1.3 1.76/0.80 % (63723)Termination reason: Instruction limit 1.76/0.80 % (63723)Termination phase: shuffling 1.76/0.80 % (63723)Time elapsed: 0.002 s 1.76/0.80 % (63723)Peak memory usage: 10 MB 1.76/0.80 % (63723)Instructions burned: 2 (million) 1.76/0.80 % (63722)Instruction limit reached! 1.76/0.80 % (63722)------------------------------ 1.76/0.80 % (63722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.76/0.80 % (63722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.76/0.80 % (63722)CaDiCaL version: 2.1.3 1.76/0.80 % (63722)Termination reason: Instruction limit 1.76/0.80 % (63722)Termination phase: shuffling 1.76/0.80 % (63722)Time elapsed: 0.006 s 1.76/0.80 % (63722)Peak memory usage: 10 MB 1.76/0.80 % (63722)Instructions burned: 8 (million) 1.76/0.80 % (63719)Instruction limit reached! 1.76/0.80 % (63719)------------------------------ 1.76/0.80 % (63719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.76/0.80 % (63719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.76/0.80 % (63719)CaDiCaL version: 2.1.3 1.76/0.80 % (63719)Termination reason: Instruction limit 1.76/0.80 % (63719)Termination phase: Property scanning 1.76/0.80 % (63719)Time elapsed: 0.019 s 1.76/0.80 % (63719)Peak memory usage: 10 MB 1.76/0.80 % (63719)Instructions burned: 28 (million) 1.76/0.80 % (63720)Instruction limit reached! 1.76/0.80 % (63720)------------------------------ 1.76/0.80 % (63720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.76/0.80 % (63720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.76/0.80 % (63720)CaDiCaL version: 2.1.3 1.76/0.80 % (63720)Termination reason: Instruction limit 1.76/0.80 % (63720)Termination phase: Saturation 1.76/0.80 % (63720)Time elapsed: 0.030 s 1.76/0.80 % (63720)Peak memory usage: 12 MB 1.76/0.80 % (63720)Instructions burned: 89 (million) 1.76/0.80 % (63724)Refutation not found, incomplete strategy 1.76/0.80 % (63724)------------------------------ 1.76/0.80 % (63724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.76/0.80 % (63724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.76/0.80 % (63724)CaDiCaL version: 2.1.3 1.76/0.80 % (63724)Termination reason: Refutation not found, incomplete strategy 1.76/0.80 % (63724)Time elapsed: 0.019 s 1.76/0.80 % (63724)Peak memory usage: 12 MB 1.76/0.80 % (63724)Instructions burned: 25 (million) 1.76/0.80 % (63724)------------------------------ 1.76/0.80 % (63724)------------------------------ 1.76/0.80 % (63728)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2390311059:st=2:i=249:sd=1:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/249Mi) 1.76/0.80 % (63735)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=785290880:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_1798 on theBenchmark for (1798ds/14Mi) 1.76/0.80 % (63735)Instruction limit reached! 1.76/0.80 % (63735)------------------------------ 1.76/0.80 % (63735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 1.76/0.80 % (63735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.76/0.80 % (63735)CaDiCaL version: 2.1.3 1.76/0.80 % (63735)Termination reason: Instruction limit 1.76/0.80 % (63735)Termination phase: shuffling 2.13/0.92 % (63735)Time elapsed: 0.006 s 2.13/0.92 % (63735)Peak memory usage: 10 MB 2.13/0.92 % (63735)Instructions burned: 17 (million) 2.13/0.92 % (63733)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1984226335:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_1798 on theBenchmark for (1798ds/14Mi) 2.13/0.92 % (63732)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3693743404:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_1798 on theBenchmark for (1798ds/25Mi) 2.13/0.92 % (63734)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1730669666:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_1798 on theBenchmark for (1798ds/327Mi) 2.13/0.92 % (63733)Instruction limit reached! 2.13/0.92 % (63733)------------------------------ 2.13/0.92 % (63733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.92 % (63733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.92 % (63733)CaDiCaL version: 2.1.3 2.13/0.92 % (63733)Termination reason: Instruction limit 2.13/0.92 % (63733)Termination phase: shuffling 2.13/0.92 % (63733)Time elapsed: 0.011 s 2.13/0.92 % (63733)Peak memory usage: 10 MB 2.13/0.92 % (63733)Instructions burned: 14 (million) 2.13/0.92 % (63739)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1978492486:i=26:ep=R:rtra=on:ntd=on_1798 on theBenchmark for (1798ds/26Mi) 2.13/0.92 % (63732)Instruction limit reached! 2.13/0.92 % (63732)------------------------------ 2.13/0.92 % (63732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.92 % (63732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.92 % (63732)CaDiCaL version: 2.1.3 2.13/0.92 % (63732)Termination reason: Instruction limit 2.13/0.92 % (63732)Termination phase: Preprocessing 1 2.13/0.92 % (63732)Time elapsed: 0.018 s 2.13/0.92 % (63732)Peak memory usage: 10 MB 2.13/0.92 % (63732)Instructions burned: 25 (million) 2.13/0.92 % (63737)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3436837734: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) 2.13/0.92 % (63737)Instruction limit reached! 2.13/0.92 % (63737)------------------------------ 2.13/0.92 % (63737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.92 % (63737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.92 % (63737)CaDiCaL version: 2.1.3 2.13/0.92 % (63737)Termination reason: Instruction limit 2.13/0.92 % (63737)Termination phase: shuffling 2.13/0.92 % (63737)Time elapsed: 0.002 s 2.13/0.92 % (63737)Peak memory usage: 9 MB 2.13/0.92 % (63737)Instructions burned: 2 (million) 2.13/0.92 % (63728)Refutation not found, incomplete strategy 2.13/0.92 % (63728)------------------------------ 2.13/0.92 % (63728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.92 % (63728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.92 % (63728)CaDiCaL version: 2.1.3 2.13/0.92 % (63728)Termination reason: Refutation not found, incomplete strategy 2.13/0.92 % (63728)Time elapsed: 0.034 s 2.13/0.92 % (63728)Peak memory usage: 12 MB 2.13/0.92 % (63728)Instructions burned: 50 (million) 2.13/0.92 % (63728)------------------------------ 2.13/0.92 % (63728)------------------------------ 2.13/0.92 % (63739)Instruction limit reached! 2.13/0.92 % (63739)------------------------------ 2.13/0.92 % (63739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.92 % (63739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.92 % (63739)CaDiCaL version: 2.1.3 2.13/0.92 % (63739)Termination reason: Instruction limit 2.13/0.92 % (63739)Termination phase: Property scanning 2.13/0.92 % (63739)Time elapsed: 0.010 s 2.13/0.92 % (63739)Peak memory usage: 10 MB 2.13/0.92 % (63739)Instructions burned: 27 (million) 2.13/0.92 % (63748)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off 2.13/0.92 % (63743)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2567579255:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_1798 on theBenchmark for (1798ds/23Mi) 2.13/0.92 % (63748)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=1650525856:i=8:nm=2:rtra=on:fe=abstraction:inj=on_1797 on theBenchmark for (1797ds/8Mi) 2.13/0.99 % (63748)Instruction limit reached! 2.13/0.99 % (63748)------------------------------ 2.13/0.99 % (63748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63748)CaDiCaL version: 2.1.3 2.13/0.99 % (63748)Termination reason: Instruction limit 2.13/0.99 % (63748)Termination phase: shuffling 2.13/0.99 % (63748)Time elapsed: 0.004 s 2.13/0.99 % (63748)Peak memory usage: 10 MB 2.13/0.99 % (63748)Instructions burned: 9 (million) 2.13/0.99 % (63747)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 2.13/0.99 % (63747)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs 2.13/0.99 % (63745)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1148659864:cond=on:i=60:rtra=on:ntd=on_1797 on theBenchmark for (1797ds/60Mi) 2.13/0.99 % (63747)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=1813268991:i=14:add=off:nm=40:rtra=on:rawr=on_1797 on theBenchmark for (1797ds/14Mi) 2.13/0.99 % (63749)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=3631506342:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_1797 on theBenchmark for (1797ds/31Mi) 2.13/0.99 % (63743)Instruction limit reached! 2.13/0.99 % (63743)------------------------------ 2.13/0.99 % (63743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63743)CaDiCaL version: 2.1.3 2.13/0.99 % (63743)Termination reason: Instruction limit 2.13/0.99 % (63743)Termination phase: Property scanning 2.13/0.99 % (63743)Time elapsed: 0.017 s 2.13/0.99 % (63743)Peak memory usage: 10 MB 2.13/0.99 % (63743)Instructions burned: 24 (million) 2.13/0.99 % (63747)Instruction limit reached! 2.13/0.99 % (63747)------------------------------ 2.13/0.99 % (63747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63747)CaDiCaL version: 2.1.3 2.13/0.99 % (63747)Termination reason: Instruction limit 2.13/0.99 % (63747)Termination phase: shuffling 2.13/0.99 % (63747)Time elapsed: 0.011 s 2.13/0.99 % (63747)Peak memory usage: 10 MB 2.13/0.99 % (63747)Instructions burned: 15 (million) 2.13/0.99 % (63752)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1229061665:i=7:hud=5:bd=preordered:rtra=on:bet=on_1797 on theBenchmark for (1797ds/7Mi) 2.13/0.99 % (63752)Instruction limit reached! 2.13/0.99 % (63752)------------------------------ 2.13/0.99 % (63752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63752)CaDiCaL version: 2.1.3 2.13/0.99 % (63752)Termination reason: Instruction limit 2.13/0.99 % (63752)Termination phase: shuffling 2.13/0.99 % (63752)Time elapsed: 0.003 s 2.13/0.99 % (63752)Peak memory usage: 10 MB 2.13/0.99 % (63752)Instructions burned: 8 (million) 2.13/0.99 % (63749)Instruction limit reached! 2.13/0.99 % (63749)------------------------------ 2.13/0.99 % (63749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63749)CaDiCaL version: 2.1.3 2.13/0.99 % (63749)Termination reason: Instruction limit 2.13/0.99 % (63749)Termination phase: Property scanning 2.13/0.99 % (63749)Time elapsed: 0.021 s 2.13/0.99 % (63749)Peak memory usage: 10 MB 2.13/0.99 % (63749)Instructions burned: 32 (million) 2.13/0.99 % (63759)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3545997242:i=1240:rtra=on:ixr=off_1797 on theBenchmark for (1797ds/1240Mi) 2.13/0.99 % (63756)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1115509867:i=23:rtra=on:ntd=on_1797 on theBenchmark for (1797ds/23Mi) 2.13/0.99 % (63757)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1559200371:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_1797 on theBenchmark for (1797ds/20Mi) 2.13/0.99 % (63745)Instruction limit reached! 2.13/0.99 % (63745)------------------------------ 2.13/0.99 % (63745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63745)CaDiCaL version: 2.1.3 2.13/0.99 % (63745)Termination reason: Instruction limit 2.13/0.99 % (63745)Termination phase: Property scanning 2.13/0.99 % (63745)Time elapsed: 0.046 s 2.13/0.99 % (63745)Peak memory usage: 12 MB 2.13/0.99 % (63745)Instructions burned: 63 (million) 2.13/0.99 % (63756)Instruction limit reached! 2.13/0.99 % (63756)------------------------------ 2.13/0.99 % (63756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63756)CaDiCaL version: 2.1.3 2.13/0.99 % (63756)Termination reason: Instruction limit 2.13/0.99 % (63756)Termination phase: Property scanning 2.13/0.99 % (63756)Time elapsed: 0.016 s 2.13/0.99 % (63756)Peak memory usage: 10 MB 2.13/0.99 % (63756)Instructions burned: 23 (million) 2.13/0.99 % (63757)Instruction limit reached! 2.13/0.99 % (63757)------------------------------ 2.13/0.99 % (63757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63757)CaDiCaL version: 2.1.3 2.13/0.99 % (63757)Termination reason: Instruction limit 2.13/0.99 % (63757)Termination phase: shuffling 2.13/0.99 % (63757)Time elapsed: 0.015 s 2.13/0.99 % (63757)Peak memory usage: 10 MB 2.13/0.99 % (63757)Instructions burned: 20 (million) 2.13/0.99 % (63760)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3806492692:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_1797 on theBenchmark for (1797ds/143Mi) 2.13/0.99 % (63764)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=616789818:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_1797 on theBenchmark for (1797ds/193Mi) 2.13/0.99 % (63766)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on 2.13/0.99 % (63765)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1524322820:i=42:hud=10:rtra=on_1797 on theBenchmark for (1797ds/42Mi) 2.13/0.99 % (63766)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1576313880:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_1797 on theBenchmark for (1797ds/7Mi) 2.13/0.99 % (63766)Instruction limit reached! 2.13/0.99 % (63766)------------------------------ 2.13/0.99 % (63766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63766)CaDiCaL version: 2.1.3 2.13/0.99 % (63766)Termination reason: Instruction limit 2.13/0.99 % (63766)Termination phase: shuffling 2.13/0.99 % (63766)Time elapsed: 0.005 s 2.13/0.99 % (63766)Peak memory usage: 10 MB 2.13/0.99 % (63766)Instructions burned: 7 (million) 2.13/0.99 % (63765)Instruction limit reached! 2.13/0.99 % (63765)------------------------------ 2.13/0.99 % (63765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63765)CaDiCaL version: 2.1.3 2.13/0.99 % (63765)Termination reason: Instruction limit 2.13/0.99 % (63765)Termination phase: Property scanning 2.13/0.99 % (63765)Time elapsed: 0.028 s 2.13/0.99 % (63765)Peak memory usage: 10 MB 2.13/0.99 % (63765)Instructions burned: 42 (million) 2.13/0.99 % (63771)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3917599130:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_1796 on theBenchmark for (1796ds/181Mi) 2.13/0.99 % (63772)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=1195431372:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_1796 on theBenchmark for (1796ds/169Mi) 2.13/0.99 % (63760)Instruction limit reached! 2.13/0.99 % (63760)------------------------------ 2.13/0.99 % (63760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63760)CaDiCaL version: 2.1.3 2.13/0.99 % (63760)Termination reason: Instruction limit 2.13/0.99 % (63760)Termination phase: Saturation 2.13/0.99 % (63760)Time elapsed: 0.094 s 2.13/0.99 % (63760)Peak memory usage: 13 MB 2.13/0.99 % (63760)Instructions burned: 143 (million) 2.13/0.99 % (63771)Refutation not found, incomplete strategy 2.13/0.99 % (63771)------------------------------ 2.13/0.99 % (63771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63771)CaDiCaL version: 2.1.3 2.13/0.99 % (63771)Termination reason: Refutation not found, incomplete strategy 2.13/0.99 % (63771)Time elapsed: 0.035 s 2.13/0.99 % (63771)Peak memory usage: 13 MB 2.13/0.99 % (63771)Instructions burned: 49 (million) 2.13/0.99 % (63771)------------------------------ 2.13/0.99 % (63771)------------------------------ 2.13/0.99 % (63775)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on 2.13/0.99 % (63775)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3705818721:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_1796 on theBenchmark for (1796ds/6Mi) 2.13/0.99 % (63734)Instruction limit reached! 2.13/0.99 % (63734)------------------------------ 2.13/0.99 % (63734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63734)CaDiCaL version: 2.1.3 2.13/0.99 % (63734)Termination reason: Instruction limit 2.13/0.99 % (63734)Termination phase: Saturation 2.13/0.99 % (63734)Time elapsed: 0.252 s 2.13/0.99 % (63734)Peak memory usage: 15 MB 2.13/0.99 % (63734)Instructions burned: 327 (million) 2.13/0.99 % (63775)Instruction limit reached! 2.13/0.99 % (63775)------------------------------ 2.13/0.99 % (63775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63775)CaDiCaL version: 2.1.3 2.13/0.99 % (63775)Termination reason: Instruction limit 2.13/0.99 % (63775)Termination phase: shuffling 2.13/0.99 % (63775)Time elapsed: 0.006 s 2.13/0.99 % (63775)Peak memory usage: 10 MB 2.13/0.99 % (63775)Instructions burned: 7 (million) 2.13/0.99 % (63776)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=390346980:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_1795 on theBenchmark for (1795ds/22Mi) 2.13/0.99 % (63764)Instruction limit reached! 2.13/0.99 % (63764)------------------------------ 2.13/0.99 % (63764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63764)CaDiCaL version: 2.1.3 2.13/0.99 % (63764)Termination reason: Instruction limit 2.13/0.99 % (63764)Termination phase: Saturation 2.13/0.99 % (63764)Time elapsed: 0.138 s 2.13/0.99 % (63764)Peak memory usage: 13 MB 2.13/0.99 % (63764)Instructions burned: 194 (million) 2.13/0.99 % (63776)Instruction limit reached! 2.13/0.99 % (63776)------------------------------ 2.13/0.99 % (63776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/0.99 % (63776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/0.99 % (63776)CaDiCaL version: 2.1.3 2.13/0.99 % (63776)Termination reason: Instruction limit 2.13/0.99 % (63776)Termination phase: Property scanning 2.13/0.99 % (63776)Time elapsed: 0.016 s 2.13/0.99 % (63776)Peak memory usage: 10 MB 2.13/0.99 % (63776)Instructions burned: 22 (million) 2.13/0.99 % (63772) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-63694-63772"... 2.13/0.99 % (63772)...printing done. 2.13/0.99 % (63778)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=263308923:i=19:add=on:rtra=on_1795 on theBenchmark for (1795ds/19Mi) 2.13/0.99 % (63772)Refutation found. Thanks to Tanya! 2.13/0.99 % SZS status Theorem for theBenchmark 2.13/0.99 % SZS output start Proof for theBenchmark 2.13/0.99 thf(type_def_5, type, term: $tType). 2.13/0.99 thf(type_def_6, type, subst: $tType). 2.13/0.99 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType). 2.13/0.99 thf(func_def_0, type, one: term). 2.13/0.99 thf(func_def_1, type, ap: (term > term > term)). 2.13/0.99 thf(func_def_2, type, lam: (term > term)). 2.13/0.99 thf(func_def_3, type, sub: (term > subst > term)). 2.13/0.99 thf(func_def_4, type, id: subst). 2.13/0.99 thf(func_def_5, type, sh: subst). 2.13/0.99 thf(func_def_6, type, push: (term > subst > subst)). 2.13/0.99 thf(func_def_7, type, comp: (subst > subst > subst)). 2.13/0.99 thf(func_def_8, type, var: (term > $o)). 2.13/0.99 thf(func_def_9, type, pushprop_lem1v2: $o). 2.13/0.99 thf(func_def_10, type, pushprop_lem1_gthm: $o). 2.13/0.99 thf(func_def_11, type, axmap: $o). 2.13/0.99 thf(func_def_12, type, pushprop_lem0_gthm: $o). 2.13/0.99 thf(func_def_13, type, shinj: $o). 2.13/0.99 thf(func_def_14, type, hoasinduction_lem1v2: $o). 2.13/0.99 thf(func_def_15, type, hoasinduction_lem1v2_gthm: $o). 2.13/0.99 thf(func_def_16, type, hoasap: (subst > term > subst > term > term)). 2.13/0.99 thf(func_def_17, type, induction2lem: $o). 2.13/0.99 thf(func_def_18, type, hoasinduction_lem3v2_f: $o). 2.13/0.99 thf(func_def_19, type, axvarshift: $o). 2.13/0.99 thf(func_def_20, type, hoasapinj2: $o). 2.13/0.99 thf(func_def_21, type, hoasapnotvar_gthm: $o). 2.13/0.99 thf(func_def_22, type, hoasapinj1: $o). 2.13/0.99 thf(func_def_23, type, ulamvar1: $o). 2.13/0.99 thf(func_def_24, type, induction2lem_lthm: $o). 2.13/0.99 thf(func_def_25, type, hoasinduction_lem3v2_gthm: $o). 2.13/0.99 thf(func_def_26, type, apnotvar: $o). 2.13/0.99 thf(func_def_27, type, pushprop_lthm_orig: $o). 2.13/0.99 thf(func_def_28, type, hoasinduction_lem3v2_f_lthm: $o). 2.13/0.99 thf(func_def_29, type, hoasinduction_lthm: $o). 2.13/0.99 thf(func_def_30, type, hoasinduction_no_psi_cond_lthm: $o). 2.13/0.99 thf(func_def_31, type, hoaslaminj: $o). 2.13/0.99 thf(func_def_32, type, hoasinduction_lem3aaa: $o). 2.13/0.99 thf(func_def_33, type, induction2lem_gthm: $o). 2.13/0.99 thf(func_def_34, type, hoasinduction_lem3aa_lthm: $o). 2.13/0.99 thf(func_def_35, type, hoasinduction_lem3: $o). 2.13/0.99 thf(func_def_36, type, hoasinduction_lem2: $o). 2.13/0.99 thf(func_def_37, type, termmset_lthm: $o). 2.13/0.99 thf(func_def_38, type, hoasinduction_lem1: $o). 2.13/0.99 thf(func_def_39, type, hoaslamnotap_lthm: $o). 2.13/0.99 thf(func_def_40, type, pushprop_lem1v2_lthm: $o). 2.13/0.99 thf(func_def_41, type, hoasapnotvar: $o). 2.13/0.99 thf(func_def_42, type, hoasinduction_lem0: $o). 2.13/0.99 thf(func_def_43, type, hoasinduction: $o). 2.13/0.99 thf(func_def_44, type, hoasinduction_gthm: $o). 2.13/0.99 thf(func_def_45, type, axapp: $o). 2.13/0.99 thf(func_def_46, type, hoaslamnotvar_lthm: $o). 2.13/0.99 thf(func_def_47, type, pushprop_lem3v2_lthm: $o). 2.13/0.99 thf(func_def_48, type, hoasinduction_lem3b_lthm: $o). 2.13/0.99 thf(func_def_49, type, ulamvarind: $o). 2.13/0.99 thf(func_def_50, type, induction: $o). 2.13/0.99 thf(func_def_51, type, hoasinduction_lem3a_lthm: $o). 2.13/0.99 thf(func_def_52, type, termmset_gthm: $o). 2.13/0.99 thf(func_def_53, type, hoasinduction_lem3aa: $o). 2.13/0.99 thf(func_def_54, type, pushprop_lem1v2_gthm: $o). 2.13/0.99 thf(func_def_55, type, hoaslamnotap_gthm: $o). 2.13/0.99 thf(func_def_56, type, hoaslamnotvar_gthm: $o). 2.13/0.99 thf(func_def_57, type, hoasinduction_lem3b_gthm: $o). 2.13/0.99 thf(func_def_58, type, pushprop_lem2v2: $o). 2.13/0.99 thf(func_def_59, type, hoasinduction_lem3a_gthm: $o). 2.13/0.99 thf(func_def_60, type, axclos: $o). 2.13/0.99 thf(func_def_61, type, axassoc: $o). 2.13/0.99 thf(func_def_62, type, hoasinduction_lem2v2: $o). 2.13/0.99 thf(func_def_63, type, pushprop_lthm: $o). 2.13/0.99 thf(func_def_64, type, apinj2: $o). 2.13/0.99 thf(func_def_65, type, apinj1: $o). 2.13/0.99 thf(func_def_66, type, hoasapinj2_lthm: $o). 2.13/0.99 thf(func_def_67, type, hoasinduction_lem3v2a: $o). 2.13/0.99 thf(func_def_68, type, hoasapinj1_lthm: $o). 2.13/0.99 thf(func_def_69, type, hoaslaminj_lthm: $o). 2.13/0.99 thf(func_def_70, type, axvarcons: $o). 2.13/0.99 thf(func_def_71, type, hoaslam: (subst > (subst > term > term) > term)). 2.13/0.99 thf(func_def_72, type, axscons: $o). 2.13/0.99 thf(func_def_73, type, hoasinduction_lem2v2_gthm: $o). 2.13/0.99 thf(func_def_74, type, axidr: $o). 2.13/0.99 thf(func_def_75, type, pushprop_lem1: $o). 2.13/0.99 thf(func_def_76, type, laminj: $o). 2.13/0.99 thf(func_def_77, type, hoasinduction_lem3_lthm: $o). 2.13/0.99 thf(func_def_78, type, pushprop_lem0: $o). 2.13/0.99 thf(func_def_79, type, pushprop_gthm: $o). 2.13/0.99 thf(func_def_80, type, axabs: $o). 2.13/0.99 thf(func_def_81, type, hoasinduction_lem3v2a_lthm: $o). 2.13/0.99 thf(func_def_82, type, hoasinduction_lem2_lthm: $o). 2.13/0.99 thf(func_def_83, type, hoasapinj2_gthm: $o). 2.13/0.99 thf(func_def_84, type, hoasinduction_p_and_p_prime: ((subst > term > subst > $o) > (term > $o) > $o)). 2.13/0.99 thf(func_def_85, type, hoasinduction_lem1_lthm: $o). 2.13/0.99 thf(func_def_86, type, lamnotap: $o). 2.13/0.99 thf(func_def_87, type, hoasapinj1_gthm: $o). 2.13/0.99 thf(func_def_88, type, hoaslamnotvar: $o). 2.13/0.99 thf(func_def_89, type, axidl: $o). 2.13/0.99 thf(func_def_90, type, hoaslaminj_gthm: $o). 2.13/0.99 thf(func_def_91, type, induction2_lthm: $o). 2.13/0.99 thf(func_def_92, type, hoasinduction_lem0_lthm: $o). 2.13/0.99 thf(func_def_93, type, substmonoid_lthm: $o). 2.13/0.99 thf(func_def_94, type, pushprop: $o). 2.13/0.99 thf(func_def_95, type, hoasinduction_lem3_gthm: $o). 2.13/0.99 thf(func_def_96, type, hoasinduction_lem2_gthm: $o). 2.13/0.99 thf(func_def_97, type, hoasinduction_lem3b: $o). 2.13/0.99 thf(func_def_98, type, substmonoid: $o). 2.13/0.99 thf(func_def_99, type, lamnotvar: $o). 2.13/0.99 thf(func_def_100, type, hoasinduction_lem3a: $o). 2.13/0.99 thf(func_def_101, type, hoasinduction_lem1_gthm: $o). 2.13/0.99 thf(func_def_102, type, hoasinduction_no_psi_cond: $o). 2.13/0.99 thf(func_def_103, type, induction2_gthm: $o). 2.13/0.99 thf(func_def_104, type, pushprop_lem2v2_lthm: $o). 2.13/0.99 thf(func_def_105, type, hoasvar: (subst > term > subst > $o)). 2.13/0.99 thf(func_def_106, type, hoaslamnotap: $o). 2.13/0.99 thf(func_def_107, type, substmonoid_gthm: $o). 2.13/0.99 thf(func_def_108, type, ulamvarsh: $o). 2.13/0.99 thf(func_def_109, type, induction2: $o). 2.13/0.99 thf(func_def_110, type, pushprop_lem3v2: $o). 2.13/0.99 thf(func_def_111, type, pushprop_lem2v2_gthm: $o). 2.13/0.99 thf(func_def_112, type, pushprop_lem1_lthm: $o). 2.13/0.99 thf(func_def_113, type, hoasinduction_lem3v2: $o). 2.13/0.99 thf(func_def_114, type, axshiftcons: $o). 2.13/0.99 thf(func_def_115, type, termmset: $o). 2.13/0.99 thf(func_def_116, type, pushprop_lem0_lthm: $o). 2.13/0.99 thf(func_def_117, type, hoasapnotvar_lthm: $o). 2.13/0.99 thf(func_def_118, type, hoasinduction_lem3v2_lthm: $o). 2.13/0.99 thf(func_def_119, type, pushprop_p_and_p_prime: (term > subst > (term > $o) > (term > $o) > $o)). 2.13/0.99 thf(func_def_120, type, axvarid: $o). 2.13/0.99 thf(func_def_121, type, hoasinduction_lthm_3: $o). 2.13/0.99 thf(func_def_123, type, vIMP: ($o > $o > $o)). 2.13/0.99 thf(func_def_124, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))). 2.13/0.99 thf(func_def_125, type, db4: !>[X0: $tType]:(X0)). 2.13/0.99 thf(func_def_126, type, db2: !>[X0: $tType]:(X0)). 2.13/0.99 thf(func_def_127, type, db0: !>[X0: $tType]:(X0)). 2.13/0.99 thf(func_def_128, type, db3: !>[X0: $tType]:(X0)). 2.13/0.99 thf(func_def_129, type, db1: !>[X0: $tType]:(X0)). 2.13/0.99 thf(func_def_130, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))). 2.13/0.99 thf(func_def_131, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))). 2.13/0.99 thf(func_def_132, type, vAND: ($o > $o > $o)). 2.13/0.99 thf(func_def_133, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))). 2.13/0.99 thf(func_def_134, type, vNOT: ($o > $o)). 2.13/0.99 thf(func_def_135, type, vIFF: ($o > $o > $o)). 2.13/0.99 thf(func_def_138, type, sK0: (term > subst > (term > $o) > term > $o)). 2.13/0.99 thf(func_def_139, type, sK1: term). 2.13/0.99 thf(func_def_140, type, sK2: (term > $o)). 2.13/0.99 thf(func_def_141, type, sK3: subst). 2.13/0.99 thf(func_def_142, type, sK4: term). 2.13/0.99 thf(func_def_143, type, sK5: ((term > $o) > term)). 2.13/0.99 thf(f2,axiom,( 2.13/0.99 (axvarcons = ! [X0 : term,X1 : subst] : (((sub @ one @ (push @ X0 @ X1))) = X0))), 2.13/0.99 file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axvarcons)). 2.13/0.99 thf(f5,axiom,( 2.13/0.99 (axclos = ! [X2 : subst,X1 : subst,X0 : term] : (((sub @ (sub @ X0 @ X1) @ X2)) = ((sub @ X0 @ (comp @ X1 @ X2)))))), 2.13/0.99 file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axclos)). 2.13/0.99 thf(f7,axiom,( 2.13/0.99 (! [X1 : subst,X0 : term] : (((comp @ sh @ (push @ X0 @ X1))) = X1) = axshiftcons)), 2.13/0.99 file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axshiftcons)). 2.13/0.99 thf(f15,axiom,( 2.13/0.99 (! [X0 : (term > $o)] : ((X0 @ one) => (! [X1 : term] : ((var @ X1) => ((X0 @ X1) => (X0 @ (sub @ X1 @ sh)))) => ! [X1 : term] : ((var @ X1) => (X0 @ X1)))) = ulamvarind)), 2.13/0.99 file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',ulamvarind)). 2.13/0.99 thf(f39,axiom,( 2.13/0.99 (pushprop = ! [X2 : subst,X0 : (term > $o),X1 : term] : (! [X3 : term] : ((var @ X3) => (X0 @ (sub @ X3 @ X2))) => ((X0 @ X1) => ! [X3 : term] : ((var @ X3) => (X0 @ (sub @ X3 @ (push @ X1 @ X2)))))))), 2.13/0.99 file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',pushprop)). 2.13/0.99 thf(f42,axiom,( 2.13/0.99 (pushprop_lem0 => (ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop))))) = pushprop_lthm)), 2.13/0.99 file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',pushprop_lthm)). 2.13/0.99 thf(f114,conjecture,( 2.13/0.99 pushprop_lthm), 2.13/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 2.13/0.99 thf(f115,negated_conjecture,( 2.13/0.99 ~pushprop_lthm), 2.13/0.99 inference(negated_conjecture,[status(cth)],[f114])). 2.13/1.00 thf(f152,plain,( 2.13/1.00 (! [X0 : (term > $o)] : ((X0 @ one) => (! [X1 : term] : ((var @ X1) => ((X0 @ X1) => (X0 @ (sub @ X1 @ sh)))) => ! [X2 : term] : ((var @ X2) => (X0 @ X2)))) = ulamvarind)), 2.13/1.00 inference(rectify,[],[f15])). 2.13/1.00 thf(f153,plain,( 2.13/1.00 (ulamvarind = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1))))))))))), 2.13/1.00 inference(fool_elimination,[],[f152])). 2.13/1.00 thf(f173,plain,( 2.13/1.00 (axclos = ! [X0 : subst,X1 : subst,X2 : term] : (((sub @ X2 @ (comp @ X1 @ X0))) = ((sub @ (sub @ X2 @ X1) @ X0))))), 2.13/1.00 inference(rectify,[],[f5])). 2.13/1.00 thf(f174,plain,( 2.13/1.00 (axclos = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((sub @ Y0 @ (comp @ Y1 @ Y2)) = (sub @ (sub @ Y0 @ Y1) @ Y2))))))))))), 2.13/1.00 inference(fool_elimination,[],[f173])). 2.13/1.00 thf(f213,plain,( 2.13/1.00 (! [X0 : subst,X1 : term] : (((comp @ sh @ (push @ X1 @ X0))) = X0) = axshiftcons)), 2.13/1.00 inference(rectify,[],[f7])). 2.13/1.00 thf(f214,plain,( 2.13/1.00 (axshiftcons = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1)))))))), 2.13/1.00 inference(fool_elimination,[],[f213])). 2.13/1.00 thf(f224,plain,( 2.13/1.00 (axvarcons = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ one @ (push @ Y1 @ Y0)) = Y1)))))))), 2.13/1.00 inference(fool_elimination,[],[f2])). 2.13/1.00 thf(f244,plain,( 2.13/1.00 (pushprop = ! [X0 : subst,X1 : (term > $o),X2 : term] : (! [X3 : term] : ((var @ X3) => (X1 @ (sub @ X3 @ X0))) => ((X1 @ X2) => ! [X4 : term] : ((var @ X4) => (X1 @ (sub @ X4 @ (push @ X2 @ X0)))))))), 2.13/1.00 inference(rectify,[],[f39])). 2.13/1.00 thf(f245,plain,( 2.13/1.00 (pushprop = ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2))))))))))))))))), 2.13/1.00 inference(fool_elimination,[],[f244])). 2.13/1.00 thf(f260,plain,( 2.13/1.00 ~pushprop_lthm), 2.13/1.00 inference(rectify,[],[f115])). 2.13/1.00 thf(f261,plain,( 2.13/1.00 ~ (pushprop_lthm = $true)), 2.13/1.00 inference(fool_elimination,[],[f260])). 2.13/1.00 thf(f266,plain,( 2.13/1.00 (pushprop_lem0 => (ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop))))) = pushprop_lthm)), 2.13/1.00 inference(rectify,[],[f42])). 2.13/1.00 thf(f267,plain,( 2.13/1.00 (pushprop_lthm = ((pushprop_lem0 => (ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop))))))))), 2.13/1.00 inference(fool_elimination,[],[f266])). 2.13/1.00 thf(f319,plain,( 2.13/1.00 (pushprop_lthm != $true)), 2.13/1.00 inference(flattening,[],[f261])). 2.13/1.00 thf(f320,plain,( 2.13/1.00 (axclos = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((sub @ Y0 @ (comp @ Y1 @ Y2)) = (sub @ (sub @ Y0 @ Y1) @ Y2))))))))))), 2.13/1.00 inference(cnf_transformation,[],[f174])). 2.13/1.00 thf(f321,plain,( 2.13/1.00 (ulamvarind = ((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1))))))))))), 2.13/1.00 inference(cnf_transformation,[],[f153])). 2.13/1.00 thf(f322,plain,( 2.13/1.00 (pushprop_lthm != $true)), 2.13/1.00 inference(cnf_transformation,[],[f319])). 2.13/1.00 thf(f323,plain,( 2.13/1.00 (axshiftcons = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1)))))))), 2.13/1.00 inference(cnf_transformation,[],[f214])). 2.13/1.00 thf(f324,plain,( 2.13/1.00 (pushprop = ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2))))))))))))))))), 2.13/1.00 inference(cnf_transformation,[],[f245])). 2.13/1.00 thf(f326,plain,( 2.13/1.00 (pushprop_lthm = ((pushprop_lem0 => (ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop))))))))), 2.13/1.00 inference(cnf_transformation,[],[f267])). 2.13/1.00 thf(f328,plain,( 2.13/1.00 (axvarcons = ((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ one @ (push @ Y1 @ Y0)) = Y1)))))))), 2.13/1.00 inference(cnf_transformation,[],[f224])). 2.13/1.00 thf(f331,plain,( 2.13/1.00 (pushprop_lthm = $false) | ($true != $true)), 2.13/1.00 inference(fool_paramodulation,[],[f322])). 2.13/1.00 thf(f332,plain,( 2.13/1.00 (pushprop_lthm = $false)), 2.13/1.00 inference(trivial_inequality_removal,[],[f331])). 2.13/1.00 thf(f334,plain,( 2.13/1.00 ($false = ((pushprop_lem0 => (ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop))))))))), 2.13/1.00 inference(backward_demodulation,[],[f326,f332])). 2.13/1.00 thf(f335,plain,( 2.13/1.00 (((ulamvar1 => (axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop)))))) = $false)), 2.13/1.00 inference(imp_proxy_clausification,[],[f334])). 2.13/1.00 thf(f337,plain,( 2.13/1.00 ($false = ((axvarcons => (axclos => (axshiftcons => (ulamvarind => pushprop))))))), 2.13/1.00 inference(imp_proxy_clausification,[],[f335])). 2.13/1.00 thf(f339,plain,( 2.13/1.00 ($false = ((axclos => (axshiftcons => (ulamvarind => pushprop)))))), 2.13/1.00 inference(imp_proxy_clausification,[],[f337])). 2.13/1.00 thf(f340,plain,( 2.13/1.00 (axvarcons = $true)), 2.13/1.00 inference(imp_proxy_clausification,[],[f337])). 2.13/1.00 thf(f341,plain,( 2.13/1.00 ($false = ((axshiftcons => (ulamvarind => pushprop))))), 2.13/1.00 inference(imp_proxy_clausification,[],[f339])). 2.13/1.00 thf(f342,plain,( 2.13/1.00 (axclos = $true)), 2.13/1.00 inference(imp_proxy_clausification,[],[f339])). 2.13/1.00 thf(f343,plain,( 2.13/1.00 ($false = ((ulamvarind => pushprop)))), 2.13/1.00 inference(imp_proxy_clausification,[],[f341])). 2.13/1.00 thf(f344,plain,( 2.13/1.00 (axshiftcons = $true)), 2.13/1.00 inference(imp_proxy_clausification,[],[f341])). 2.13/1.00 thf(f345,plain,( 2.13/1.00 (pushprop = $false)), 2.13/1.00 inference(imp_proxy_clausification,[],[f343])). 2.13/1.00 thf(f346,plain,( 2.13/1.00 (ulamvarind = $true)), 2.13/1.00 inference(imp_proxy_clausification,[],[f343])). 2.13/1.00 thf(f358,plain,( 2.13/1.00 (((!! @ subst @ (^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ one @ (push @ Y1 @ Y0)) = Y1)))))) = $true)), 2.13/1.00 inference(backward_demodulation,[],[f328,f340])). 2.13/1.00 thf(f360,plain,( 2.13/1.00 ( ! [X1 : subst] : (((((^[Y0 : subst]: (!! @ term @ (^[Y1 : term]: ((sub @ one @ (push @ Y1 @ Y0)) = Y1)))) @ X1)) = $true)) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f358])). 2.13/1.00 thf(f361,plain,( 2.13/1.00 ( ! [X1 : subst] : ((((!! @ term @ (^[Y0 : term]: ((sub @ one @ (push @ Y0 @ X1)) = Y0)))) = $true)) )), 2.13/1.00 inference(beta-eta_normalization,[],[f360])). 2.13/1.00 thf(f362,plain,( 2.13/1.00 ( ! [X2 : term,X1 : subst] : (((((^[Y0 : term]: ((sub @ one @ (push @ Y0 @ X1)) = Y0)) @ X2)) = $true)) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f361])). 2.13/1.00 thf(f363,plain,( 2.13/1.00 ( ! [X2 : term,X1 : subst] : (($true = (((sub @ one @ (push @ X2 @ X1)) = X2)))) )), 2.13/1.00 inference(beta-eta_normalization,[],[f362])). 2.13/1.00 thf(f364,plain,( 2.13/1.00 ( ! [X2 : term,X1 : subst] : ((((sub @ one @ (push @ X2 @ X1))) = X2)) )), 2.13/1.00 inference(equality_proxy_clausification,[],[f363])). 2.13/1.00 thf(f365,plain,( 2.13/1.00 ($true = ((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((sub @ Y0 @ (comp @ Y1 @ Y2)) = (sub @ (sub @ Y0 @ Y1) @ Y2))))))))))), 2.13/1.00 inference(backward_demodulation,[],[f320,f342])). 2.13/1.00 thf(f367,plain,( 2.13/1.00 ( ! [X1 : term] : (((((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: (!! @ subst @ (^[Y2 : subst]: ((sub @ Y0 @ (comp @ Y1 @ Y2)) = (sub @ (sub @ Y0 @ Y1) @ Y2))))))) @ X1)) = $true)) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f365])). 2.13/1.00 thf(f368,plain,( 2.13/1.00 ( ! [X1 : term] : ((((!! @ subst @ (^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: ((sub @ X1 @ (comp @ Y0 @ Y1)) = (sub @ (sub @ X1 @ Y0) @ Y1))))))) = $true)) )), 2.13/1.00 inference(beta-eta_normalization,[],[f367])). 2.13/1.00 thf(f369,plain,( 2.13/1.00 ( ! [X2 : subst,X1 : term] : (((((^[Y0 : subst]: (!! @ subst @ (^[Y1 : subst]: ((sub @ X1 @ (comp @ Y0 @ Y1)) = (sub @ (sub @ X1 @ Y0) @ Y1))))) @ X2)) = $true)) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f368])). 2.13/1.00 thf(f370,plain,( 2.13/1.00 ( ! [X2 : subst,X1 : term] : (($true = ((!! @ subst @ (^[Y0 : subst]: ((sub @ X1 @ (comp @ X2 @ Y0)) = (sub @ (sub @ X1 @ X2) @ Y0))))))) )), 2.13/1.00 inference(beta-eta_normalization,[],[f369])). 2.13/1.00 thf(f371,plain,( 2.13/1.00 ( ! [X2 : subst,X3 : subst,X1 : term] : (($true = (((^[Y0 : subst]: ((sub @ X1 @ (comp @ X2 @ Y0)) = (sub @ (sub @ X1 @ X2) @ Y0))) @ X3)))) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f370])). 2.13/1.00 thf(f372,plain,( 2.13/1.00 ( ! [X2 : subst,X3 : subst,X1 : term] : (($true = (((sub @ X1 @ (comp @ X2 @ X3)) = (sub @ (sub @ X1 @ X2) @ X3))))) )), 2.13/1.00 inference(beta-eta_normalization,[],[f371])). 2.13/1.00 thf(f373,plain,( 2.13/1.00 ( ! [X2 : subst,X3 : subst,X1 : term] : ((((sub @ (sub @ X1 @ X2) @ X3)) = ((sub @ X1 @ (comp @ X2 @ X3))))) )), 2.13/1.00 inference(equality_proxy_clausification,[],[f372])). 2.13/1.00 thf(f374,plain,( 2.13/1.00 (((!! @ term @ (^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1)))))) = $true)), 2.13/1.00 inference(backward_demodulation,[],[f323,f344])). 2.13/1.00 thf(f376,plain,( 2.13/1.00 ( ! [X1 : term] : (((((^[Y0 : term]: (!! @ subst @ (^[Y1 : subst]: ((comp @ sh @ (push @ Y0 @ Y1)) = Y1)))) @ X1)) = $true)) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f374])). 2.13/1.00 thf(f377,plain,( 2.13/1.00 ( ! [X1 : term] : ((((!! @ subst @ (^[Y0 : subst]: ((comp @ sh @ (push @ X1 @ Y0)) = Y0)))) = $true)) )), 2.13/1.00 inference(beta-eta_normalization,[],[f376])). 2.13/1.00 thf(f378,plain,( 2.13/1.00 ( ! [X2 : subst,X1 : term] : (((((^[Y0 : subst]: ((comp @ sh @ (push @ X1 @ Y0)) = Y0)) @ X2)) = $true)) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f377])). 2.13/1.00 thf(f379,plain,( 2.13/1.00 ( ! [X2 : subst,X1 : term] : (((((comp @ sh @ (push @ X1 @ X2)) = X2)) = $true)) )), 2.13/1.00 inference(beta-eta_normalization,[],[f378])). 2.13/1.00 thf(f380,plain,( 2.13/1.00 ( ! [X2 : subst,X1 : term] : ((((comp @ sh @ (push @ X1 @ X2))) = X2)) )), 2.13/1.00 inference(equality_proxy_clausification,[],[f379])). 2.13/1.00 thf(f381,plain,( 2.13/1.00 ($false = ((!! @ term @ (^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2))))))))))))))))), 2.13/1.00 inference(backward_demodulation,[],[f324,f345])). 2.13/1.00 thf(f382,plain,( 2.13/1.00 ($false = (((^[Y0 : term]: (!! @ (term > $o) @ (^[Y1 : term > $o]: (!! @ subst @ (^[Y2 : subst]: ((!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ Y2))))) => ((Y1 @ Y0) => (!! @ term @ (^[Y3 : term]: ((var @ Y3) => (Y1 @ (sub @ Y3 @ (push @ Y0 @ Y2))))))))))))) @ sK1)))), 2.13/1.00 inference(sigma_proxy_clausification,[],[f381])). 2.13/1.00 thf(f383,plain,( 2.13/1.00 ($false = ((!! @ (term > $o) @ (^[Y0 : term > $o]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (Y0 @ (sub @ Y2 @ Y1))))) => ((Y0 @ sK1) => (!! @ term @ (^[Y2 : term]: ((var @ Y2) => (Y0 @ (sub @ Y2 @ (push @ sK1 @ Y1))))))))))))))), 2.13/1.00 inference(beta-eta_normalization,[],[f382])). 2.13/1.00 thf(f384,plain,( 2.13/1.00 ($false = (((^[Y0 : term > $o]: (!! @ subst @ (^[Y1 : subst]: ((!! @ term @ (^[Y2 : term]: ((var @ Y2) => (Y0 @ (sub @ Y2 @ Y1))))) => ((Y0 @ sK1) => (!! @ term @ (^[Y2 : term]: ((var @ Y2) => (Y0 @ (sub @ Y2 @ (push @ sK1 @ Y1))))))))))) @ sK2)))), 2.13/1.00 inference(sigma_proxy_clausification,[],[f383])). 2.13/1.00 thf(f385,plain,( 2.13/1.00 (((!! @ subst @ (^[Y0 : subst]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK2 @ (sub @ Y1 @ Y0))))) => ((sK2 @ sK1) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK2 @ (sub @ Y1 @ (push @ sK1 @ Y0))))))))))) = $false)), 2.13/1.00 inference(beta-eta_normalization,[],[f384])). 2.13/1.00 thf(f386,plain,( 2.13/1.00 ($false = (((^[Y0 : subst]: ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK2 @ (sub @ Y1 @ Y0))))) => ((sK2 @ sK1) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (sK2 @ (sub @ Y1 @ (push @ sK1 @ Y0))))))))) @ sK3)))), 2.13/1.00 inference(sigma_proxy_clausification,[],[f385])). 2.13/1.00 thf(f387,plain,( 2.13/1.00 ($false = (((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ sK3))))) => ((sK2 @ sK1) => (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ (push @ sK1 @ sK3))))))))))), 2.13/1.00 inference(beta-eta_normalization,[],[f386])). 2.13/1.00 thf(f388,plain,( 2.13/1.00 ($false = (((sK2 @ sK1) => (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ (push @ sK1 @ sK3)))))))))), 2.13/1.00 inference(imp_proxy_clausification,[],[f387])). 2.13/1.00 thf(f389,plain,( 2.13/1.00 (((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ sK3)))))) = $true)), 2.13/1.00 inference(imp_proxy_clausification,[],[f387])). 2.13/1.00 thf(f390,plain,( 2.13/1.00 ( ! [X1 : term] : (((((^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ sK3)))) @ X1)) = $true)) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f389])). 2.13/1.00 thf(f391,plain,( 2.13/1.00 ( ! [X1 : term] : (((((var @ X1) => (sK2 @ (sub @ X1 @ sK3)))) = $true)) )), 2.13/1.00 inference(beta-eta_normalization,[],[f390])). 2.13/1.00 thf(f392,plain,( 2.13/1.00 ( ! [X1 : term] : ((((sK2 @ (sub @ X1 @ sK3))) = $true) | (((var @ X1)) = $false)) )), 2.13/1.00 inference(imp_proxy_clausification,[],[f391])). 2.13/1.00 thf(f393,plain,( 2.13/1.00 ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ (push @ sK1 @ sK3))))))))), 2.13/1.00 inference(imp_proxy_clausification,[],[f388])). 2.13/1.00 thf(f394,plain,( 2.13/1.00 (((sK2 @ sK1)) = $true)), 2.13/1.00 inference(imp_proxy_clausification,[],[f388])). 2.13/1.00 thf(f395,plain,( 2.13/1.00 ($false = (((^[Y0 : term]: ((var @ Y0) => (sK2 @ (sub @ Y0 @ (push @ sK1 @ sK3))))) @ sK4)))), 2.13/1.00 inference(sigma_proxy_clausification,[],[f393])). 2.13/1.00 thf(f396,plain,( 2.13/1.00 ($false = (((var @ sK4) => (sK2 @ (sub @ sK4 @ (push @ sK1 @ sK3))))))), 2.13/1.00 inference(beta-eta_normalization,[],[f395])). 2.13/1.00 thf(f397,plain,( 2.13/1.00 ($false = ((sK2 @ (sub @ sK4 @ (push @ sK1 @ sK3)))))), 2.13/1.00 inference(imp_proxy_clausification,[],[f396])). 2.13/1.00 thf(f398,plain,( 2.13/1.00 (((var @ sK4)) = $true)), 2.13/1.00 inference(imp_proxy_clausification,[],[f396])). 2.13/1.00 thf(f399,plain,( 2.13/1.00 (((!! @ (term > $o) @ (^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1))))))))) = $true)), 2.13/1.00 inference(backward_demodulation,[],[f321,f346])). 2.13/1.00 thf(f401,plain,( 2.13/1.00 ( ! [X1 : (term > $o)] : (((((^[Y0 : term > $o]: ((Y0 @ one) => ((!! @ term @ (^[Y1 : term]: ((var @ Y1) => ((Y0 @ Y1) => (Y0 @ (sub @ Y1 @ sh)))))) => (!! @ term @ (^[Y1 : term]: ((var @ Y1) => (Y0 @ Y1))))))) @ X1)) = $true)) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f399])). 2.13/1.00 thf(f402,plain,( 2.13/1.00 ( ! [X1 : (term > $o)] : (((((X1 @ one) => ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => ((X1 @ Y0) => (X1 @ (sub @ Y0 @ sh)))))) => (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))))) = $true)) )), 2.13/1.00 inference(beta-eta_normalization,[],[f401])). 2.13/1.00 thf(f403,plain,( 2.13/1.00 ( ! [X1 : (term > $o)] : ((((X1 @ one)) = $false) | ((((!! @ term @ (^[Y0 : term]: ((var @ Y0) => ((X1 @ Y0) => (X1 @ (sub @ Y0 @ sh)))))) => (!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0)))))) = $true)) )), 2.13/1.00 inference(imp_proxy_clausification,[],[f402])). 2.13/1.00 thf(f404,plain,( 2.13/1.00 ( ! [X1 : (term > $o)] : ((((X1 @ one)) = $false) | ($false = ((!! @ term @ (^[Y0 : term]: ((var @ Y0) => ((X1 @ Y0) => (X1 @ (sub @ Y0 @ sh)))))))) | (((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))) = $true)) )), 2.13/1.00 inference(imp_proxy_clausification,[],[f403])). 2.13/1.00 thf(f405,plain,( 2.13/1.00 ( ! [X1 : (term > $o)] : ((((X1 @ one)) = $false) | ($false = (((^[Y0 : term]: ((var @ Y0) => ((X1 @ Y0) => (X1 @ (sub @ Y0 @ sh))))) @ (sK5 @ X1)))) | (((!! @ term @ (^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))))) = $true)) )), 2.13/1.00 inference(sigma_proxy_clausification,[],[f404])). 2.13/1.00 thf(f406,plain,( 2.13/1.00 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ one)) = $false) | ($false = (((^[Y0 : term]: ((var @ Y0) => ((X1 @ Y0) => (X1 @ (sub @ Y0 @ sh))))) @ (sK5 @ X1)))) | ((((^[Y0 : term]: ((var @ Y0) => (X1 @ Y0))) @ X2)) = $true)) )), 2.13/1.00 inference(pi_proxy_clausification,[],[f405])). 2.13/1.00 thf(f407,plain,( 2.13/1.00 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ one)) = $false) | ($false = (((var @ (sK5 @ X1)) => ((X1 @ (sK5 @ X1)) => (X1 @ (sub @ (sK5 @ X1) @ sh)))))) | ($true = (((var @ X2) => (X1 @ X2))))) )), 2.13/1.00 inference(beta-eta_normalization,[],[f406])). 2.13/1.00 thf(f408,plain,( 2.13/1.00 ( ! [X2 : term,X1 : (term > $o)] : (($true = (((var @ X2) => (X1 @ X2)))) | ($false = (((X1 @ (sK5 @ X1)) => (X1 @ (sub @ (sK5 @ X1) @ sh))))) | (((X1 @ one)) = $false)) )), 2.13/1.00 inference(imp_proxy_clausification,[],[f407])). 2.13/1.00 thf(f409,plain,( 2.13/1.00 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ one)) = $false) | ($true = (((var @ X2) => (X1 @ X2)))) | (((var @ (sK5 @ X1))) = $true)) )), 2.13/1.00 inference(imp_proxy_clausification,[],[f407])). 2.13/1.00 thf(f410,plain,( 2.13/1.00 ( ! [X2 : term,X1 : (term > $o)] : ((((var @ (sK5 @ X1))) = $true) | (((X1 @ X2)) = $true) | (((var @ X2)) = $false) | (((X1 @ one)) = $false)) )), 2.13/1.00 inference(imp_proxy_clausification,[],[f409])). 2.13/1.00 thf(f411,plain,( 2.13/1.00 ( ! [X2 : term,X1 : (term > $o)] : ((((X1 @ X2)) = $true) | ($false = (((X1 @ (sK5 @ X1)) => (X1 @ (sub @ (sK5 @ X1) @ sh))))) | (((X1 @ one)) = $false) | (((var @ X2)) = $false)) )), 2.13/1.00 inference(imp_proxy_clausification,[],[f408])). 2.13/1.00 thf(f412,plain,( 2.13/1.00 ( ! [X2 : term,X1 : (term > $o)] : (($false = ((X1 @ (sub @ (sK5 @ X1) @ sh)))) | (((var @ X2)) = $false) | (((X1 @ X2)) = $true) | (((X1 @ one)) = $false)) )), 2.13/1.00 inference(imp_proxy_clausification,[],[f411])). 2.13/1.00 thf(f414,plain,( 2.13/1.00 ( ! [X2 : term,X0 : subst,X1 : term] : ((((sub @ X1 @ X0)) = ((sub @ (sub @ X1 @ sh) @ (push @ X2 @ X0))))) )), 2.13/1.00 inference(constrained_superposition,[],[f373,f380])). 2.13/1.00 thf(f423,plain,( 2.13/1.00 ( ! [X0 : (term > $o)] : (($true = ((var @ (sK5 @ X0)))) | ($false = $true) | ($true = ((X0 @ sK4))) | (((X0 @ one)) = $false)) )), 2.13/1.00 inference(constrained_superposition,[],[f410,f398])). 2.13/1.00 thf(f437,plain,( 2.13/1.00 ( ! [X0 : (term > $o)] : (($true = ((var @ (sK5 @ X0)))) | ($true = ((X0 @ sK4))) | (((X0 @ one)) = $false)) )), 2.13/1.00 inference(trivial_inequality_removal,[],[f423])). 2.13/1.00 thf(f480,plain,( 2.13/1.00 (((var @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4)))))) = $true) | (one = sK4)), 2.13/1.00 inference(leibniz_equality_elimination,[],[f437])). 2.13/1.00 thf(f486,definition,( 2.13/1.00 spl6_6 <=> (one = sK4)), 2.13/1.00 introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition])). 2.13/1.00 thf(f487,plain,( 2.13/1.00 (one != sK4) | spl6_6), 2.13/1.00 inference(avatar_component_clause,[],[f486])). 2.13/1.00 thf(f488,plain,( 2.13/1.00 (one = sK4) | ~spl6_6), 2.13/1.00 inference(avatar_component_clause,[],[f486])). 2.13/1.00 thf(f490,definition,( 2.13/1.00 spl6_7 <=> (((var @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4)))))) = $true)), 2.13/1.00 introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition])). 2.13/1.00 thf(f492,plain,( 2.13/1.00 (((var @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4)))))) = $true) | ~spl6_7), 2.13/1.00 inference(avatar_component_clause,[],[f490])). 2.13/1.00 thf(f493,plain,( 2.13/1.00 spl6_6 | spl6_7), 2.13/1.00 inference(avatar_split_clause,[],[f480,f490,f486])). 2.13/1.00 thf(f497,plain,( 2.13/1.00 ( ! [X2 : term,X1 : subst] : ((((sub @ sK4 @ (push @ X2 @ X1))) = X2)) ) | ~spl6_6), 2.13/1.00 inference(backward_demodulation,[],[f364,f488])). 2.13/1.00 thf(f499,plain,( 2.13/1.00 ($false = ((sK2 @ sK1))) | ~spl6_6), 2.13/1.00 inference(backward_demodulation,[],[f397,f497])). 2.13/1.00 thf(f500,plain,( 2.13/1.00 ($false = $true) | ~spl6_6), 2.13/1.00 inference(backward_demodulation,[],[f394,f499])). 2.13/1.00 thf(f501,plain,( 2.13/1.00 $false | ~spl6_6), 2.13/1.00 inference(trivial_inequality_removal,[],[f500])). 2.13/1.00 thf(f502,plain,( 2.13/1.00 ~spl6_6), 2.13/1.00 inference(avatar_contradiction_clause,[],[f501])). 2.13/1.00 thf(f906,plain,( 2.13/1.00 ( ! [X0 : (term > $o)] : (($true = ((X0 @ sK4))) | ($false = $true) | (((X0 @ one)) = $false) | ($false = ((X0 @ (sub @ (sK5 @ X0) @ sh))))) )), 2.13/1.00 inference(constrained_superposition,[],[f398,f412])). 2.13/1.00 thf(f925,plain,( 2.13/1.00 ( ! [X0 : (term > $o)] : (($false = ((X0 @ (sub @ (sK5 @ X0) @ sh)))) | ($true = ((X0 @ sK4))) | (((X0 @ one)) = $false)) )), 2.13/1.00 inference(trivial_inequality_removal,[],[f906])). 2.13/1.00 thf(f991,plain,( 2.13/1.00 ($false = (((^[Y0 : term]: (~ (Y0 = sK4))) @ one))) | (sK4 = ((sub @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4)))) @ sh)))), 2.13/1.00 inference(leibniz_equality_elimination,[],[f925])). 2.13/1.00 thf(f1015,plain,( 2.13/1.00 (sK4 = ((sub @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4)))) @ sh))) | ($false = ((~ (one = sK4))))), 2.13/1.00 inference(beta-eta_normalization,[],[f991])). 2.13/1.00 thf(f1016,plain,( 2.13/1.00 (sK4 = ((sub @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4)))) @ sh))) | (((one = sK4)) = $true)), 2.13/1.00 inference(not_proxy_clausification,[],[f1015])). 2.13/1.00 thf(f1017,plain,( 2.13/1.00 (sK4 = ((sub @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4)))) @ sh))) | (one = sK4)), 2.13/1.00 inference(equality_proxy_clausification,[],[f1016])). 2.13/1.00 thf(f1032,plain,( 2.13/1.00 (sK4 = ((sub @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4)))) @ sh))) | spl6_6), 2.13/1.00 inference(forward_subsumption_resolution,[],[f1017,f487])). 2.13/1.00 thf(f1035,plain,( 2.13/1.00 ( ! [X0 : subst,X1 : term] : ((((sub @ sK4 @ (push @ X1 @ X0))) = ((sub @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4)))) @ X0)))) ) | spl6_6), 2.13/1.00 inference(constrained_superposition,[],[f414,f1032])). 2.13/1.00 thf(f1051,plain,( 2.13/1.00 ( ! [X0 : term] : (($false = ((var @ (sK5 @ (^[Y0 : term]: (~ (Y0 = sK4))))))) | (((sK2 @ (sub @ sK4 @ (push @ X0 @ sK3)))) = $true)) ) | spl6_6), 2.13/1.00 inference(constrained_superposition,[],[f392,f1035])). 2.13/1.00 thf(f1069,plain,( 2.13/1.00 ( ! [X0 : term] : (($false = $true) | (((sK2 @ (sub @ sK4 @ (push @ X0 @ sK3)))) = $true)) ) | (spl6_6 | ~spl6_7)), 2.13/1.00 inference(forward_demodulation,[],[f1051,f492])). 2.13/1.00 thf(f1070,plain,( 2.13/1.00 ( ! [X0 : term] : ((((sK2 @ (sub @ sK4 @ (push @ X0 @ sK3)))) = $true)) ) | (spl6_6 | ~spl6_7)), 2.13/1.00 inference(trivial_inequality_removal,[],[f1069])). 2.13/1.00 thf(f1081,plain,( 2.13/1.00 ($false = $true) | (spl6_6 | ~spl6_7)), 2.13/1.00 inference(backward_demodulation,[],[f397,f1070])). 2.13/1.00 thf(f1083,plain,( 2.13/1.00 $false | (spl6_6 | ~spl6_7)), 2.13/1.00 inference(trivial_inequality_removal,[],[f1081])). 2.13/1.00 thf(f1084,plain,( 2.13/1.00 spl6_6 | ~spl6_7), 2.13/1.00 inference(avatar_contradiction_clause,[],[f1083])). 2.13/1.00 cnf(s4, plain, spl6_6 | spl6_7, inference(sat_conversion,[],[f493])). 2.13/1.00 cnf(s5, plain, ~spl6_6, inference(sat_conversion,[],[f502])). 2.13/1.00 cnf(s20, plain, spl6_6 | ~spl6_7, inference(sat_conversion,[],[f1084])). 2.13/1.00 cnf(s21, plain, ~spl6_7, inference(rat,[],[s20,s5])). 2.13/1.00 cnf(s26, plain, $false, inference(rat,[],[s4,s21,s5])). 2.13/1.00 thf(f1085,plain,( 2.13/1.00 $false), 2.13/1.00 inference(avatar_sat_refutation,[],[s26])). 2.13/1.00 % SZS output end Proof for theBenchmark 2.13/1.00 % (63772)------------------------------ 2.13/1.00 % (63772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200) 2.13/1.00 % (63772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.13/1.00 % (63772)CaDiCaL version: 2.1.3 2.13/1.00 % (63772)Termination reason: Refutation 2.13/1.00 % (63772)Time elapsed: 0.078 s 2.13/1.00 % (63772)Peak memory usage: 14 MB 2.13/1.00 % (63772)Instructions burned: 100 (million) 2.13/1.00 % (63694)Success in time 0.472 s 2.13/1.00 % Vampire exiting 2.13/1.00 EOF