%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP027^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:01 AM UTC 2026
% Result : Theorem 1.05s 0.56s
% Output : Refutation 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP027^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:40:43 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.44 % (1082018)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.44 % (1082027)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1173630589:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.44 % (1082029)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.44 % (1082029)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
% 0.32/0.44 % (1082023)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=352510187:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.44 % (1082027)Instruction limit reached!
% 0.32/0.44 % (1082027)------------------------------
% 0.32/0.44 % (1082027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1082027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1082027)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1082024)lrs+10_16_si=on:nwc=1.5:random_seed=1273302909:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.44 % (1082027)Termination reason: Instruction limit
% 0.32/0.44 % (1082027)Termination phase: shuffling
% 0.32/0.44 % (1082027)Time elapsed: 0.007 s
% 0.32/0.44 % (1082027)Peak memory usage: 10 MB
% 0.32/0.44 % (1082027)Instructions burned: 27 (million)
% 0.32/0.44 % (1082025)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2532187778:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.44 % (1082026)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=2347597193: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_2999 on theBenchmark for (2999ds/634Mi)
% 0.32/0.44 % (1082029)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=1348101903:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.44 % (1082028)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4189690161:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.44 % (1082025)Instruction limit reached!
% 0.32/0.44 % (1082025)------------------------------
% 0.32/0.44 % (1082025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1082025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1082025)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1082025)Termination reason: Instruction limit
% 0.32/0.44 % (1082025)Termination phase: shuffling
% 0.32/0.44 % (1082025)Time elapsed: 0.002 s
% 0.32/0.44 % (1082025)Peak memory usage: 10 MB
% 0.32/0.44 % (1082025)Instructions burned: 3 (million)
% 0.32/0.44 % (1082024)Instruction limit reached!
% 0.32/0.44 % (1082024)------------------------------
% 0.32/0.44 % (1082024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1082024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1082024)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1082024)Termination reason: Instruction limit
% 0.32/0.44 % (1082024)Termination phase: shuffling
% 0.32/0.44 % (1082024)Time elapsed: 0.009 s
% 0.32/0.44 % (1082024)Peak memory usage: 10 MB
% 0.32/0.44 % (1082024)Instructions burned: 20 (million)
% 0.32/0.44 % (1082035)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2982567839:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.44 % (1082035)Instruction limit reached!
% 0.32/0.44 % (1082035)------------------------------
% 0.32/0.44 % (1082035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (1082035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (1082035)CaDiCaL version: 2.1.3
% 0.32/0.44 % (1082035)Termination reason: Instruction limit
% 0.32/0.44 % (1082035)Termination phase: shuffling
% 0.32/0.44 % (1082035)Time elapsed: 0.001 s
% 0.32/0.44 % (1082035)Peak memory usage: 10 MB
% 0.32/0.44 % (1082035)Instructions burned: 3 (million)
% 0.32/0.44 % (1082038)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3024865126:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.05/0.48 % (1082041)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1812275952:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.05/0.48 % (1082038)Instruction limit reached!
% 1.05/0.48 % (1082038)------------------------------
% 1.05/0.48 % (1082038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.48 % (1082038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.48 % (1082038)CaDiCaL version: 2.1.3
% 1.05/0.48 % (1082038)Termination reason: Instruction limit
% 1.05/0.48 % (1082038)Termination phase: shuffling
% 1.05/0.48 % (1082038)Time elapsed: 0.003 s
% 1.05/0.48 % (1082038)Peak memory usage: 10 MB
% 1.05/0.48 % (1082038)Instructions burned: 6 (million)
% 1.05/0.48 % (1082039)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.05/0.48 % (1082041)Instruction limit reached!
% 1.05/0.48 % (1082041)------------------------------
% 1.05/0.48 % (1082041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.48 % (1082041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.48 % (1082041)CaDiCaL version: 2.1.3
% 1.05/0.48 % (1082041)Termination reason: Instruction limit
% 1.05/0.48 % (1082041)Termination phase: shuffling
% 1.05/0.48 % (1082041)Time elapsed: 0.004 s
% 1.05/0.48 % (1082041)Peak memory usage: 10 MB
% 1.05/0.48 % (1082041)Instructions burned: 17 (million)
% 1.05/0.48 % (1082039)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2809271352:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.05/0.48 % (1082039)Instruction limit reached!
% 1.05/0.48 % (1082039)------------------------------
% 1.05/0.48 % (1082039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.48 % (1082039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.48 % (1082039)CaDiCaL version: 2.1.3
% 1.05/0.48 % (1082039)Termination reason: Instruction limit
% 1.05/0.48 % (1082039)Termination phase: shuffling
% 1.05/0.48 % (1082039)Time elapsed: 0.004 s
% 1.05/0.48 % (1082039)Peak memory usage: 10 MB
% 1.05/0.48 % (1082039)Instructions burned: 8 (million)
% 1.05/0.48 % (1082028)Instruction limit reached!
% 1.05/0.48 % (1082028)------------------------------
% 1.05/0.48 % (1082028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.48 % (1082028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.48 % (1082028)CaDiCaL version: 2.1.3
% 1.05/0.48 % (1082028)Termination reason: Instruction limit
% 1.05/0.48 % (1082028)Termination phase: Property scanning
% 1.05/0.48 % (1082028)Time elapsed: 0.034 s
% 1.05/0.48 % (1082028)Peak memory usage: 11 MB
% 1.05/0.48 % (1082028)Instructions burned: 76 (million)
% 1.05/0.48 % (1082050)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=3100388559:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.05/0.48 % (1082023)Instruction limit reached!
% 1.05/0.48 % (1082023)------------------------------
% 1.05/0.48 % (1082023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.48 % (1082023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.48 % (1082023)CaDiCaL version: 2.1.3
% 1.05/0.48 % (1082023)Termination reason: Instruction limit
% 1.05/0.48 % (1082023)Termination phase: SInE selection
% 1.05/0.48 % (1082023)Time elapsed: 0.040 s
% 1.05/0.48 % (1082023)Peak memory usage: 11 MB
% 1.05/0.48 % (1082023)Instructions burned: 89 (million)
% 1.05/0.48 % (1082049)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
% 1.05/0.48 % (1082049)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.05/0.48 % (1082049)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1994761279:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.05/0.48 % (1082053)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.05/0.51 % (1082052)lrs+10_1_si=on:cs=on:random_seed=546756124:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.05/0.51 % (1082053)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=3202861865:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.05/0.51 % (1082053)Instruction limit reached!
% 1.05/0.51 % (1082053)------------------------------
% 1.05/0.51 % (1082053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (1082053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (1082053)CaDiCaL version: 2.1.3
% 1.05/0.51 % (1082053)Termination reason: Instruction limit
% 1.05/0.51 % (1082053)Termination phase: shuffling
% 1.05/0.51 % (1082053)Time elapsed: 0.002 s
% 1.05/0.51 % (1082053)Peak memory usage: 10 MB
% 1.05/0.51 % (1082053)Instructions burned: 3 (million)
% 1.05/0.51 % (1082052)Instruction limit reached!
% 1.05/0.51 % (1082052)------------------------------
% 1.05/0.51 % (1082052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (1082052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (1082052)CaDiCaL version: 2.1.3
% 1.05/0.51 % (1082052)Termination reason: Instruction limit
% 1.05/0.51 % (1082052)Termination phase: shuffling
% 1.05/0.51 % (1082052)Time elapsed: 0.004 s
% 1.05/0.51 % (1082052)Peak memory usage: 10 MB
% 1.05/0.51 % (1082052)Instructions burned: 8 (million)
% 1.05/0.51 % (1082058)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1617181153:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.05/0.51 % (1082050)Instruction limit reached!
% 1.05/0.51 % (1082050)------------------------------
% 1.05/0.51 % (1082050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (1082050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (1082050)CaDiCaL version: 2.1.3
% 1.05/0.51 % (1082050)Termination reason: Instruction limit
% 1.05/0.51 % (1082050)Termination phase: Property scanning
% 1.05/0.51 % (1082050)Time elapsed: 0.021 s
% 1.05/0.51 % (1082050)Peak memory usage: 11 MB
% 1.05/0.51 % (1082050)Instructions burned: 88 (million)
% 1.05/0.51 % (1082049)Instruction limit reached!
% 1.05/0.51 % (1082049)------------------------------
% 1.05/0.51 % (1082049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (1082049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (1082049)CaDiCaL version: 2.1.3
% 1.05/0.51 % (1082049)Termination reason: Instruction limit
% 1.05/0.51 % (1082049)Termination phase: shuffling
% 1.05/0.51 % (1082049)Time elapsed: 0.016 s
% 1.05/0.51 % (1082049)Peak memory usage: 10 MB
% 1.05/0.51 % (1082049)Instructions burned: 29 (million)
% 1.05/0.51 % (1082073)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=698599095:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.05/0.51 % (1082029)Instruction limit reached!
% 1.05/0.51 % (1082029)------------------------------
% 1.05/0.51 % (1082029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (1082029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (1082029)CaDiCaL version: 2.1.3
% 1.05/0.51 % (1082029)Termination reason: Instruction limit
% 1.05/0.51 % (1082029)Termination phase: Property scanning
% 1.05/0.51 % (1082029)Time elapsed: 0.072 s
% 1.05/0.51 % (1082029)Peak memory usage: 13 MB
% 1.05/0.51 % (1082029)Instructions burned: 159 (million)
% 1.05/0.51 % (1082073)Instruction limit reached!
% 1.05/0.51 % (1082073)------------------------------
% 1.05/0.51 % (1082073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (1082073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (1082073)CaDiCaL version: 2.1.3
% 1.05/0.51 % (1082073)Termination reason: Instruction limit
% 1.05/0.51 % (1082073)Termination phase: shuffling
% 1.05/0.51 % (1082073)Time elapsed: 0.004 s
% 1.05/0.51 % (1082073)Peak memory usage: 10 MB
% 1.05/0.51 % (1082073)Instructions burned: 17 (million)
% 1.05/0.51 % (1082069)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=737484802:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.05/0.51 % (1082068)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3887288134:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.05/0.56 % (1082058)Instruction limit reached!
% 1.05/0.56 % (1082058)------------------------------
% 1.05/0.56 % (1082058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082058)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082058)Termination reason: Instruction limit
% 1.05/0.56 % (1082058)Termination phase: shuffling
% 1.05/0.56 % (1082058)Time elapsed: 0.019 s
% 1.05/0.56 % (1082058)Peak memory usage: 10 MB
% 1.05/0.56 % (1082058)Instructions burned: 42 (million)
% 1.05/0.56 % (1082074)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1555295940:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.05/0.56 % (1082087)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=996692325:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.05/0.56 % (1082069)Instruction limit reached!
% 1.05/0.56 % (1082069)------------------------------
% 1.05/0.56 % (1082069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082069)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082069)Termination reason: Instruction limit
% 1.05/0.56 % (1082069)Termination phase: shuffling
% 1.05/0.56 % (1082069)Time elapsed: 0.012 s
% 1.05/0.56 % (1082069)Peak memory usage: 10 MB
% 1.05/0.56 % (1082069)Instructions burned: 25 (million)
% 1.05/0.56 % (1082087)Instruction limit reached!
% 1.05/0.56 % (1082087)------------------------------
% 1.05/0.56 % (1082087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082087)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082087)Termination reason: Instruction limit
% 1.05/0.56 % (1082087)Termination phase: shuffling
% 1.05/0.56 % (1082087)Time elapsed: 0.003 s
% 1.05/0.56 % (1082087)Peak memory usage: 10 MB
% 1.05/0.56 % (1082087)Instructions burned: 12 (million)
% 1.05/0.56 % (1082084)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1190010874:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.05/0.56 % (1082092)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1563382673:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.05/0.56 % (1082084)Instruction limit reached!
% 1.05/0.56 % (1082084)------------------------------
% 1.05/0.56 % (1082084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082084)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082084)Termination reason: Instruction limit
% 1.05/0.56 % (1082084)Termination phase: shuffling
% 1.05/0.56 % (1082084)Time elapsed: 0.007 s
% 1.05/0.56 % (1082084)Peak memory usage: 10 MB
% 1.05/0.56 % (1082084)Instructions burned: 15 (million)
% 1.05/0.56 % (1082102)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1077093957:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.05/0.56 % (1082102)Instruction limit reached!
% 1.05/0.56 % (1082102)------------------------------
% 1.05/0.56 % (1082102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082102)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082102)Termination reason: Instruction limit
% 1.05/0.56 % (1082102)Termination phase: shuffling
% 1.05/0.56 % (1082102)Time elapsed: 0.006 s
% 1.05/0.56 % (1082102)Peak memory usage: 11 MB
% 1.05/0.56 % (1082102)Instructions burned: 25 (million)
% 1.05/0.56 % (1082104)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3463427553:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.05/0.56 % (1082092)Instruction limit reached!
% 1.05/0.56 % (1082092)------------------------------
% 1.05/0.56 % (1082092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082092)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082092)Termination reason: Instruction limit
% 1.05/0.56 % (1082092)Termination phase: shuffling
% 1.05/0.56 % (1082092)Time elapsed: 0.013 s
% 1.05/0.56 % (1082092)Peak memory usage: 11 MB
% 1.05/0.56 % (1082092)Instructions burned: 27 (million)
% 1.05/0.56 % (1082113)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
% 1.05/0.56 % (1082113)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.05/0.56 % (1082116)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.05/0.56 % (1082116)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=3751797931:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.05/0.56 % (1082113)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=1556416121:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.05/0.56 % (1082116)Instruction limit reached!
% 1.05/0.56 % (1082116)------------------------------
% 1.05/0.56 % (1082116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082116)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082116)Termination reason: Instruction limit
% 1.05/0.56 % (1082116)Termination phase: shuffling
% 1.05/0.56 % (1082116)Time elapsed: 0.003 s
% 1.05/0.56 % (1082116)Peak memory usage: 10 MB
% 1.05/0.56 % (1082116)Instructions burned: 11 (million)
% 1.05/0.56 % (1082113)Instruction limit reached!
% 1.05/0.56 % (1082113)------------------------------
% 1.05/0.56 % (1082113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082113)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082113)Termination reason: Instruction limit
% 1.05/0.56 % (1082113)Termination phase: shuffling
% 1.05/0.56 % (1082113)Time elapsed: 0.007 s
% 1.05/0.56 % (1082113)Peak memory usage: 10 MB
% 1.05/0.56 % (1082113)Instructions burned: 15 (million)
% 1.05/0.56 % (1082118)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=1690604987:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.05/0.56 % (1082124)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=773617604:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.05/0.56 % (1082124)Instruction limit reached!
% 1.05/0.56 % (1082124)------------------------------
% 1.05/0.56 % (1082124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082124)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082124)Termination reason: Instruction limit
% 1.05/0.56 % (1082124)Termination phase: shuffling
% 1.05/0.56 % (1082124)Time elapsed: 0.002 s
% 1.05/0.56 % (1082124)Peak memory usage: 10 MB
% 1.05/0.56 % (1082124)Instructions burned: 8 (million)
% 1.05/0.56 % (1082104)Instruction limit reached!
% 1.05/0.56 % (1082104)------------------------------
% 1.05/0.56 % (1082104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082104)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082104)Termination reason: Instruction limit
% 1.05/0.56 % (1082104)Termination phase: Property scanning
% 1.05/0.56 % (1082104)Time elapsed: 0.027 s
% 1.05/0.56 % (1082104)Peak memory usage: 11 MB
% 1.05/0.56 % (1082104)Instructions burned: 60 (million)
% 1.05/0.56 % (1082129)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3002094811:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.05/0.56 % (1082126)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=616880714:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.05/0.56 % (1082118)Instruction limit reached!
% 1.05/0.56 % (1082118)------------------------------
% 1.05/0.56 % (1082118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082118)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082118)Termination reason: Instruction limit
% 1.05/0.56 % (1082118)Termination phase: shuffling
% 1.05/0.56 % (1082118)Time elapsed: 0.015 s
% 1.05/0.56 % (1082118)Peak memory usage: 10 MB
% 1.05/0.56 % (1082118)Instructions burned: 32 (million)
% 1.05/0.56 % (1082129)Instruction limit reached!
% 1.05/0.56 % (1082129)------------------------------
% 1.05/0.56 % (1082129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082129)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082129)Termination reason: Instruction limit
% 1.05/0.56 % (1082129)Termination phase: shuffling
% 1.05/0.56 % (1082129)Time elapsed: 0.005 s
% 1.05/0.56 % (1082129)Peak memory usage: 10 MB
% 1.05/0.56 % (1082129)Instructions burned: 21 (million)
% 1.05/0.56 % (1082130)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4151837859:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.05/0.56 % (1082126)Instruction limit reached!
% 1.05/0.56 % (1082126)------------------------------
% 1.05/0.56 % (1082126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082126)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082126)Termination reason: Instruction limit
% 1.05/0.56 % (1082126)Termination phase: shuffling
% 1.05/0.56 % (1082126)Time elapsed: 0.011 s
% 1.05/0.56 % (1082126)Peak memory usage: 10 MB
% 1.05/0.56 % (1082126)Instructions burned: 25 (million)
% 1.05/0.56 % (1082133)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2549017950:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.05/0.56 % (1082134)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1231928156:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.05/0.56 % (1082136)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2479617722:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.05/0.56 % (1082074) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1082018-1082074"...
% 1.05/0.56 % (1082074)...printing done.
% 1.05/0.56 % (1082074)Refutation found. Thanks to Tanya!
% 1.05/0.56 % SZS status Theorem for theBenchmark
% 1.05/0.56 % SZS output start Proof for theBenchmark
% 1.05/0.56 thf(type_def_5, type, carrier_ext: ($tType * $tType) > $tType).
% 1.05/0.56 thf(type_def_6, type, module_ext: ($tType * $tType * $tType) > $tType).
% 1.05/0.56 thf(type_def_7, type, aGroup_ext: ($tType * $tType) > $tType).
% 1.05/0.56 thf(type_def_8, type, ring_ext: ($tType * $tType) > $tType).
% 1.05/0.56 thf(type_def_9, type, product_unit: $tType).
% 1.05/0.56 thf(type_def_10, type, set: $tType > $tType).
% 1.05/0.56 thf(type_def_11, type, nat: $tType).
% 1.05/0.56 thf(type_def_12, type, e: $tType).
% 1.05/0.56 thf(type_def_13, type, d: $tType).
% 1.05/0.56 thf(type_def_14, type, c: $tType).
% 1.05/0.56 thf(type_def_15, type, b: $tType).
% 1.05/0.56 thf(type_def_16, type, a: $tType).
% 1.05/0.56 thf(type_def_17, type, sTfun: ($tType * $tType) > $tType).
% 1.05/0.56 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_1, type, plus: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_3, type, group_add: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_4, type, semigroup_add: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_5, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_6, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_7, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_8, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_9, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 1.05/0.56 thf(func_def_10, type, carrier: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ X1 > set @ X0))).
% 1.05/0.56 thf(func_def_11, type, j_rad: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0))).
% 1.05/0.56 thf(func_def_12, type, ring: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > $o))).
% 1.05/0.56 thf(func_def_13, type, tp: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > X0 > X0))).
% 1.05/0.56 thf(func_def_14, type, un: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0))).
% 1.05/0.56 thf(func_def_15, type, sr: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1))).
% 1.05/0.56 thf(func_def_16, type, subring: !>[X0: $tType, X1: $tType, X2: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X2 > $o))).
% 1.05/0.56 thf(func_def_17, type, unit: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > $o))).
% 1.05/0.56 thf(func_def_18, type, aGroup: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ X1 > $o))).
% 1.05/0.56 thf(func_def_19, type, mop: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ X1 > X0 > X0))).
% 1.05/0.56 thf(func_def_20, type, pop: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ X1 > X0 > X0 > X0))).
% 1.05/0.56 thf(func_def_21, type, aset_sum: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ X1 > set @ X0 > set @ X0 > set @ X0))).
% 1.05/0.56 thf(func_def_22, type, carr_dsumag: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > set @ (X0 > X1)))).
% 1.05/0.56 thf(func_def_23, type, carr_prodag: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > set @ (X0 > X1)))).
% 1.05/0.56 thf(func_def_24, type, local_ring: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > $o))).
% 1.05/0.56 thf(func_def_25, type, maximal_ideal: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o))).
% 1.05/0.56 thf(func_def_26, type, mul_closed_set: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o))).
% 1.05/0.56 thf(func_def_27, type, nscal: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > nat > X0))).
% 1.05/0.56 thf(func_def_28, type, primary_ideal: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o))).
% 1.05/0.56 thf(func_def_29, type, prod_mOp: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > (X0 > X1) > X0 > X1))).
% 1.05/0.56 thf(func_def_30, type, prod_pOp: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > (X0 > X1) > (X0 > X1) > X0 > X1))).
% 1.05/0.56 thf(func_def_31, type, prod_zero: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > X0 > X1))).
% 1.05/0.56 thf(func_def_32, type, rInvim: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ ring_ext @ X2 @ X3 > (X0 > X2) > set @ X2 > set @ X0))).
% 1.05/0.56 thf(func_def_33, type, sr2: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o))).
% 1.05/0.56 thf(func_def_34, type, zeroring: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > $o))).
% 1.05/0.56 thf(func_def_35, type, sum_mult: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > set @ X0 > set @ X0))).
% 1.05/0.56 thf(func_def_36, type, module: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ module_ext @ X0 @ X1 @ X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X3 > $o))).
% 1.05/0.56 thf(func_def_37, type, sprod: !>[X0: $tType, X1: $tType, X2: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ module_ext @ X0 @ X1 @ X2 > X1 > X0 > X0))).
% 1.05/0.56 thf(func_def_38, type, mHom: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > carrier_ext @ X4 @ aGroup_ext @ X4 @ module_ext @ X4 @ X0 @ X5 > set @ (X2 > X4)))).
% 1.05/0.56 thf(func_def_39, type, algebr1000837334_prodM: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X2 > (X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X4) > carrier_ext @ (X2 > X3) @ aGroup_ext @ (X2 > X3) @ module_ext @ (X2 > X3) @ X0 @ product_unit))).
% 1.05/0.56 thf(func_def_40, type, algebr142713364_sprod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X2 > (X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X4) > X0 > (X2 > X3) > X2 > X3))).
% 1.05/0.56 thf(func_def_41, type, pi: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ (X0 > X1)))).
% 1.05/0.56 thf(func_def_42, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.05/0.56 thf(func_def_43, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.05/0.56 thf(func_def_44, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.05/0.56 thf(func_def_45, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.05/0.56 thf(func_def_46, type, i: set @ c).
% 1.05/0.56 thf(func_def_47, type, m: (c > carrier_ext @ d @ aGroup_ext @ d @ module_ext @ d @ a @ e)).
% 1.05/0.56 thf(func_def_48, type, r: carrier_ext @ a @ aGroup_ext @ a @ ring_ext @ a @ b).
% 1.05/0.56 thf(func_def_52, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.05/0.56 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.05/0.56 thf(func_def_54, type, vAND: ($o > $o > $o)).
% 1.05/0.56 thf(func_def_55, type, db0: !>[X0: $tType]:(X0)).
% 1.05/0.56 thf(func_def_56, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.05/0.56 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 1.05/0.56 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 1.05/0.56 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 1.05/0.56 thf(func_def_60, type, db3: !>[X0: $tType]:(X0)).
% 1.05/0.56 thf(func_def_61, type, db4: !>[X0: $tType]:(X0)).
% 1.05/0.56 thf(func_def_62, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.05/0.56 thf(func_def_63, type, sK0: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.05/0.56 thf(func_def_64, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X2 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X1) > X2))).
% 1.05/0.56 thf(func_def_65, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X2 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X1) > (X2 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X1) > X2))).
% 1.05/0.56 thf(func_def_66, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X2) > set @ X1 > X1))).
% 1.05/0.56 thf(func_def_67, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > X0))).
% 1.05/0.56 thf(func_def_68, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((X0 > carrier_ext @ X4 @ aGroup_ext @ X4 @ module_ext @ X4 @ X2 @ X1) > carrier_ext @ X2 @ aGroup_ext @ X2 @ ring_ext @ X2 @ X3 > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_69, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > carrier_ext @ X2 @ aGroup_ext @ X2 @ X1) > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_70, type, sK7: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > set @ X0))).
% 1.05/0.56 thf(func_def_71, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > X0))).
% 1.05/0.56 thf(func_def_72, type, sK9: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0))).
% 1.05/0.56 thf(func_def_73, type, sK10: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0) > X1))).
% 1.05/0.56 thf(func_def_74, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > carrier_ext @ X0 @ aGroup_ext @ X0 @ module_ext @ X0 @ a @ X2) > set @ X1 > X1))).
% 1.05/0.56 thf(func_def_75, type, sK12: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > set @ X1) > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_76, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2))).
% 1.05/0.56 thf(func_def_77, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ module_ext @ X1 @ a @ X2) > X0))).
% 1.05/0.56 thf(func_def_78, type, sK15: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_79, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2))).
% 1.05/0.56 thf(func_def_80, type, sK17: (c > d)).
% 1.05/0.56 thf(func_def_81, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X1) > set @ X2 > X2))).
% 1.05/0.56 thf(func_def_82, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X1) > (X2 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X1) > set @ X2 > X2))).
% 1.05/0.56 thf(func_def_83, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2))).
% 1.05/0.56 thf(func_def_84, type, sK21: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_85, type, sK22: set @ a).
% 1.05/0.56 thf(func_def_86, type, sK23: (nat > nat > nat)).
% 1.05/0.56 thf(func_def_87, type, sK24: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_88, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > (X1 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X2) > X1))).
% 1.05/0.56 thf(func_def_89, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X1) > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X2 @ X0 > (X3 > X1) > X3))).
% 1.05/0.56 thf(func_def_90, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X2) > set @ X1 > X1))).
% 1.05/0.56 thf(func_def_91, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_92, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > carrier_ext @ X2 @ aGroup_ext @ X2 @ X1) > set @ X0 > (X0 > carrier_ext @ X2 @ aGroup_ext @ X2 @ X1) > X0))).
% 1.05/0.56 thf(func_def_93, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > carrier_ext @ X2 @ aGroup_ext @ X2 @ X1) > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_94, type, sK31: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > set @ X0) > X1))).
% 1.05/0.56 thf(func_def_95, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > (X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ X0) > X1))).
% 1.05/0.56 thf(func_def_96, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X1) > set @ X2 > X2))).
% 1.05/0.56 thf(func_def_97, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X2 > (X3 > carrier_ext @ X4 @ aGroup_ext @ X4 @ module_ext @ X4 @ X1 @ X0) > set @ X3 > X3))).
% 1.05/0.56 thf(func_def_98, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X2) > set @ X1 > X1))).
% 1.05/0.56 thf(func_def_99, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 1.05/0.56 thf(func_def_100, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > (X1 > set @ X0) > X1))).
% 1.05/0.56 thf(func_def_101, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X2 @ aGroup_ext @ X2 @ X1) > (X0 > carrier_ext @ X2 @ aGroup_ext @ X2 @ X1) > X0))).
% 1.05/0.56 thf(func_def_102, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X2 @ aGroup_ext @ X2 @ X1) > X0))).
% 1.05/0.56 thf(func_def_103, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > X0))).
% 1.05/0.56 thf(func_def_104, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X2 > carrier_ext @ X0 @ aGroup_ext @ X0 @ X1) > X2))).
% 1.05/0.56 thf(func_def_105, type, sK42: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_106, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.05/0.56 thf(func_def_107, type, sK44: (a > set @ a)).
% 1.05/0.56 thf(func_def_108, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X2 > (X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > X2))).
% 1.05/0.56 thf(func_def_109, type, vNOT: ($o > $o)).
% 1.05/0.56 thf(func_def_110, type, sK46: (set @ a > a)).
% 1.05/0.56 thf(func_def_111, type, sK47: (set @ a > a)).
% 1.05/0.56 thf(func_def_112, type, sK48: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_113, type, sK49: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_114, type, sK50: !>[X0: $tType, X1: $tType]:((set @ X0 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0))).
% 1.05/0.56 thf(func_def_115, type, sK51: !>[X0: $tType, X1: $tType]:((set @ X0 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0))).
% 1.05/0.56 thf(func_def_116, type, sK52: (set @ a > a)).
% 1.05/0.56 thf(func_def_117, type, sK53: (set @ a > a)).
% 1.05/0.56 thf(func_def_118, type, sK54: !>[X0: $tType, X1: $tType]:((carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > set @ X1 > X1))).
% 1.05/0.56 thf(func_def_119, type, sK55: !>[X0: $tType, X1: $tType]:((carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > set @ X1 > X1))).
% 1.05/0.56 thf(func_def_120, type, sK56: (set @ a > a)).
% 1.05/0.56 thf(func_def_121, type, sK57: (set @ a > a)).
% 1.05/0.56 thf(func_def_122, type, sK58: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_123, type, sK59: !>[X0: $tType, X1: $tType]:((carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > X0))).
% 1.05/0.56 thf(func_def_124, type, sK60: (set @ a > a)).
% 1.05/0.56 thf(func_def_125, type, sK61: (set @ a > a)).
% 1.05/0.56 thf(func_def_127, type, sK63: c).
% 1.05/0.56 thf(f270,axiom,(
% 1.05/0.56 ! [X2 : (c > d)] : ((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X2)) = X2)) & (member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) & ! [X2 : (c > d)] : ((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X2) @ X2)) = ((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)))) & (member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X0 : (c > d)] : ((pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X1 : (c > d)] : ((carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))))))) & ! [X2 : (c > d)] : ((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X3 : (c > d)] : ((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X4 : (c > d)] : ((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X2 @ X3) @ X4)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X2 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X3 @ X4))))))) & (member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X0 : (c > d)] : ((carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))) & ! [X2 : (c > d)] : ((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X3 : (c > d)] : ((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X2 @ X3)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X3 @ X2)))))),
% 1.05/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 1.05/0.56 thf(f271,conjecture,(
% 1.05/0.56 ! [X0 : (c > d)] : ((((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = X0) | ~(member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))),
% 1.05/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)).
% 1.05/0.56 thf(f272,negated_conjecture,(
% 1.05/0.56 ~ ! [X0 : (c > d)] : ((((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = X0) | ~(member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))),
% 1.05/0.56 inference(negated_conjecture,[status(cth)],[f271])).
% 1.05/0.56 thf(f441,plain,(
% 1.05/0.56 ~ ! [X0 : (c > d)] : ((((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = X0) | ~(member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))),
% 1.05/0.56 inference(rectify,[],[f272])).
% 1.05/0.56 thf(f442,plain,(
% 1.05/0.56 ~ ! [X0 : (c > d)] : ((((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = X0) | ~ (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true))),
% 1.05/0.56 inference(fool_elimination,[],[f441])).
% 1.05/0.56 thf(f659,plain,(
% 1.05/0.56 ! [X0 : (c > d)] : ((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X0)) = X0)) & (member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) & ! [X1 : (c > d)] : ((member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => (((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1) @ X1)))) & (member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X2 : (c > d)] : ((pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X3 : (c > d)] : ((carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))))))) & ! [X4 : (c > d)] : ((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X5 : (c > d)] : ((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X6 : (c > d)] : ((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X4 @ X5) @ X6)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X4 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X6))))))) & (member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X7 : (c > d)] : ((carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))) & ! [X8 : (c > d)] : ((member @ (c > d) @ X8 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X9 : (c > d)] : ((member @ (c > d) @ X9 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X9 @ X8)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X8 @ X9)))))),
% 1.05/0.56 inference(rectify,[],[f270])).
% 1.05/0.56 thf(f660,plain,(
% 1.05/0.56 ! [X0 : (c > d)] : ((((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X0)) = X0)) & (((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) & ! [X1 : (c > d)] : ((((member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => (((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1) @ X1)))) & (((member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y1 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))))) = $true) & ! [X4 : (c > d)] : ((((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => ! [X5 : (c > d)] : ((((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => ! [X6 : (c > d)] : ((((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X4 @ X5) @ X6)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X4 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X6))))))) & (((member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))) = $true) & ! [X8 : (c > d)] : ((((member @ (c > d) @ X8 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => ! [X9 : (c > d)] : ((((member @ (c > d) @ X9 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X9 @ X8)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X8 @ X9)))))),
% 1.05/0.56 inference(fool_elimination,[],[f659])).
% 1.05/0.56 thf(f807,plain,(
% 1.05/0.56 ~ ! [X0 : (c > d)] : ((((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = X0))),
% 1.05/0.56 inference(flattening,[],[f442])).
% 1.05/0.56 thf(f808,plain,(
% 1.05/0.56 (((member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y1 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))))) = $true) & ! [X0 : (c > d)] : ((((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X0)) = X0)) & ! [X5 : (c > d)] : ((((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => ! [X6 : (c > d)] : ((((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X6)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X6 @ X5))))) & ! [X2 : (c > d)] : ((((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => ! [X3 : (c > d)] : ((((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => ! [X4 : (c > d)] : ((((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X2 @ X3) @ X4)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X2 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X3 @ X4))))))) & ! [X1 : (c > d)] : ((((member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) => (((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1) @ X1)))) & (((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) & (((member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))) = $true)),
% 1.05/0.56 inference(rectify,[],[f660])).
% 1.05/0.56 thf(f833,plain,(
% 1.05/0.56 ! [X5 : (c > d)] : ((((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | ! [X6 : (c > d)] : ((((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X6)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X6 @ X5))) | (((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true))) & (((member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))) = $true) & (((member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y1 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))))) = $true) & ! [X0 : (c > d)] : ((((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X0)) = X0)) & ! [X2 : (c > d)] : (! [X3 : (c > d)] : ((((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | ! [X4 : (c > d)] : ((((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X2 @ X3) @ X4)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X2 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X3 @ X4)))) | (((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true))) | (((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true)) & (((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) & ! [X1 : (c > d)] : ((((member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | (((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1) @ X1))))),
% 1.05/0.56 inference(ennf_transformation,[],[f808])).
% 1.05/0.56 thf(f861,plain,(
% 1.05/0.56 ? [X0 : (c > d)] : ((((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) & (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != X0))),
% 1.05/0.56 inference(ennf_transformation,[],[f807])).
% 1.05/0.56 thf(f1198,plain,(
% 1.05/0.56 ! [X0 : (c > d)] : ((((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | ! [X1 : (c > d)] : ((((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1 @ X0)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ X1))) | (((member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true))) & (((member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))) = $true) & (((member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y1 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))))) = $true) & ! [X2 : (c > d)] : ((((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X2)) = X2)) & ! [X3 : (c > d)] : (! [X4 : (c > d)] : ((((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | ! [X5 : (c > d)] : ((((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X3 @ X4) @ X5)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X3 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X4 @ X5)))) | (((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true))) | (((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true)) & (((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) & ! [X6 : (c > d)] : ((((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | (((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X6) @ X6))))),
% 1.05/0.56 inference(rectify,[],[f833])).
% 1.05/0.56 thf(f1265,plain,(
% 1.05/0.56 (((member @ (c > d) @ sK17 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true) & (sK17 != ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK17 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))))),
% 1.05/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f861])).
% 1.05/0.56 thf(f1405,plain,(
% 1.05/0.56 (((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true)),
% 1.05/0.56 inference(cnf_transformation,[],[f1198])).
% 1.05/0.56 thf(f1407,plain,(
% 1.05/0.56 ( ! [X2 : (c > d)] : ((((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X2)) = X2)) )),
% 1.05/0.56 inference(cnf_transformation,[],[f1198])).
% 1.05/0.56 thf(f1410,plain,(
% 1.05/0.56 ( ! [X0 : (c > d),X1 : (c > d)] : ((((member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1 @ X0)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ X1))) | (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true)) )),
% 1.05/0.56 inference(cnf_transformation,[],[f1198])).
% 1.05/0.56 thf(f1505,plain,(
% 1.05/0.56 (sK17 != ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK17 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))))),
% 1.05/0.56 inference(cnf_transformation,[],[f1265])).
% 1.05/0.56 thf(f1506,plain,(
% 1.05/0.56 (((member @ (c > d) @ sK17 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = $true)),
% 1.05/0.56 inference(cnf_transformation,[],[f1265])).
% 1.05/0.56 thf(f1801,plain,(
% 1.05/0.56 (sK17 = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK17))) | ($true != $true)),
% 1.05/0.56 inference(superposition,[],[f1407,f1506])).
% 1.05/0.56 thf(f1803,plain,(
% 1.05/0.56 (sK17 = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK17)))),
% 1.05/0.56 inference(trivial_inequality_removal,[],[f1801])).
% 1.05/0.56 thf(f1832,plain,(
% 1.05/0.56 ( ! [X0 : (c > d)] : ((((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK17 @ X0)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ sK17))) | ($true != $true)) )),
% 1.05/0.56 inference(superposition,[],[f1410,f1506])).
% 1.05/0.56 thf(f1837,plain,(
% 1.05/0.56 ( ! [X0 : (c > d)] : ((((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) != $true) | (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK17 @ X0)) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ sK17)))) )),
% 1.05/0.56 inference(trivial_inequality_removal,[],[f1832])).
% 1.05/0.56 thf(f1860,plain,(
% 1.05/0.56 ($true != $true) | (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK17 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK17)))),
% 1.05/0.56 inference(superposition,[],[f1837,f1405])).
% 1.05/0.56 thf(f1862,plain,(
% 1.05/0.56 (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK17 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))) = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK17)))),
% 1.05/0.56 inference(trivial_inequality_removal,[],[f1860])).
% 1.05/0.56 thf(f1864,plain,(
% 1.05/0.56 (sK17 = ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK17 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m))))),
% 1.05/0.56 inference(forward_demodulation,[],[f1862,f1803])).
% 1.05/0.56 thf(f1865,plain,(
% 1.05/0.56 $false),
% 1.05/0.56 inference(forward_subsumption_resolution,[],[f1864,f1505])).
% 1.05/0.56 % SZS output end Proof for theBenchmark
% 1.05/0.56 % (1082074)------------------------------
% 1.05/0.56 % (1082074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.56 % (1082074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.56 % (1082074)CaDiCaL version: 2.1.3
% 1.05/0.56 % (1082074)Termination reason: Refutation
% 1.05/0.56 % (1082074)Time elapsed: 0.107 s
% 1.05/0.56 % (1082074)Peak memory usage: 14 MB
% 1.05/0.56 % (1082074)Instructions burned: 232 (million)
% 1.05/0.56 % (1082018)Success in time 0.244 s
% 1.05/0.56 % Vampire exiting
%------------------------------------------------------------------------------