%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP162^2 : 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 : n015.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 08:08:37 AM UTC 2026
% Result : Theorem 1.92s 0.59s
% Output : Refutation 1.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP162^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:07:34 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.21/0.28 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
% 0.63/0.43 % (4050627)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.43 % (4050637)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2830620679:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.43 % (4050635)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=405494657: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)
% 0.63/0.43 % (4050634)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2707847394:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.43 % (4050632)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3321014765:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.43 % (4050636)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1274545807:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.43 % (4050633)lrs+10_16_si=on:nwc=1.5:random_seed=2993529811:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.43 % (4050634)Instruction limit reached!
% 0.63/0.43 % (4050634)------------------------------
% 0.63/0.43 % (4050634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (4050634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (4050634)CaDiCaL version: 2.1.3
% 0.63/0.43 % (4050634)Termination reason: Instruction limit
% 0.63/0.43 % (4050634)Termination phase: shuffling
% 0.63/0.43 % (4050634)Time elapsed: 0.002 s
% 0.63/0.43 % (4050634)Peak memory usage: 10 MB
% 0.63/0.43 % (4050634)Instructions burned: 4 (million)
% 0.63/0.43 % (4050638)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.43 % (4050638)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
% 0.63/0.43 % (4050636)Instruction limit reached!
% 0.63/0.43 % (4050636)------------------------------
% 0.63/0.43 % (4050636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (4050636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (4050636)CaDiCaL version: 2.1.3
% 0.63/0.43 % (4050636)Termination reason: Instruction limit
% 0.63/0.43 % (4050636)Termination phase: Property scanning
% 0.63/0.43 % (4050636)Time elapsed: 0.012 s
% 0.63/0.43 % (4050636)Peak memory usage: 10 MB
% 0.63/0.43 % (4050636)Instructions burned: 24 (million)
% 0.63/0.43 % (4050637)Instruction limit reached!
% 0.63/0.43 % (4050637)------------------------------
% 0.63/0.43 % (4050637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (4050637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (4050637)CaDiCaL version: 2.1.3
% 0.63/0.43 % (4050637)Termination reason: Instruction limit
% 0.63/0.43 % (4050637)Termination phase: Property scanning
% 0.63/0.43 % (4050637)Time elapsed: 0.021 s
% 0.63/0.43 % (4050637)Peak memory usage: 12 MB
% 0.63/0.43 % (4050637)Instructions burned: 79 (million)
% 0.63/0.43 % (4050638)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=2071872714:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.43 % (4050633)Instruction limit reached!
% 0.63/0.43 % (4050633)------------------------------
% 0.63/0.43 % (4050633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (4050633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (4050633)CaDiCaL version: 2.1.3
% 0.63/0.43 % (4050633)Termination reason: Instruction limit
% 0.63/0.43 % (4050633)Termination phase: Property scanning
% 0.63/0.43 % (4050633)Time elapsed: 0.017 s
% 0.63/0.43 % (4050633)Peak memory usage: 10 MB
% 0.63/0.43 % (4050633)Instructions burned: 19 (million)
% 0.63/0.43 % (4050647)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.43 % (4050647)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1358461002:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.48 % (4050647)Instruction limit reached!
% 0.63/0.48 % (4050647)------------------------------
% 0.63/0.48 % (4050647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (4050647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (4050647)CaDiCaL version: 2.1.3
% 0.63/0.48 % (4050647)Termination reason: Instruction limit
% 0.63/0.48 % (4050647)Termination phase: shuffling
% 0.63/0.48 % (4050647)Time elapsed: 0.003 s
% 0.63/0.48 % (4050647)Peak memory usage: 10 MB
% 0.63/0.48 % (4050647)Instructions burned: 12 (million)
% 0.63/0.48 % (4050651)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
% 0.63/0.48 % (4050651)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.48 % (4050651)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=940976885:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.48 % (4050632)Instruction limit reached!
% 0.63/0.48 % (4050632)------------------------------
% 0.63/0.48 % (4050632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (4050632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (4050632)CaDiCaL version: 2.1.3
% 0.63/0.48 % (4050632)Termination reason: Instruction limit
% 0.63/0.48 % (4050632)Termination phase: Property scanning
% 0.63/0.48 % (4050632)Time elapsed: 0.041 s
% 0.63/0.48 % (4050632)Peak memory usage: 12 MB
% 0.63/0.48 % (4050632)Instructions burned: 87 (million)
% 0.63/0.48 % (4050645)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3143354133:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.48 % (4050651)Instruction limit reached!
% 0.63/0.48 % (4050651)------------------------------
% 0.63/0.48 % (4050651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (4050651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (4050651)CaDiCaL version: 2.1.3
% 0.63/0.48 % (4050651)Termination reason: Instruction limit
% 0.63/0.48 % (4050651)Termination phase: shuffling
% 0.63/0.48 % (4050651)Time elapsed: 0.007 s
% 0.63/0.48 % (4050651)Peak memory usage: 10 MB
% 0.63/0.48 % (4050651)Instructions burned: 29 (million)
% 0.63/0.48 % (4050645)Instruction limit reached!
% 0.63/0.48 % (4050645)------------------------------
% 0.63/0.48 % (4050645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (4050645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (4050645)CaDiCaL version: 2.1.3
% 0.63/0.48 % (4050645)Termination reason: Instruction limit
% 0.63/0.48 % (4050645)Termination phase: shuffling
% 0.63/0.48 % (4050645)Time elapsed: 0.001 s
% 0.63/0.48 % (4050645)Peak memory usage: 10 MB
% 0.63/0.48 % (4050645)Instructions burned: 2 (million)
% 0.63/0.48 % (4050646)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2156644927:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.48 % (4050646)Instruction limit reached!
% 0.63/0.48 % (4050646)------------------------------
% 0.63/0.48 % (4050646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (4050646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (4050646)CaDiCaL version: 2.1.3
% 0.63/0.48 % (4050646)Termination reason: Instruction limit
% 0.63/0.48 % (4050646)Termination phase: shuffling
% 0.63/0.48 % (4050646)Time elapsed: 0.007 s
% 0.63/0.48 % (4050646)Peak memory usage: 10 MB
% 0.63/0.48 % (4050646)Instructions burned: 6 (million)
% 0.63/0.48 % (4050649)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3013112523:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.48 % (4050655)lrs+10_1_si=on:cs=on:random_seed=194540975:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.48 % (4050653)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=1754896301:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.48 % (4050655)Instruction limit reached!
% 1.24/0.50 % (4050655)------------------------------
% 1.24/0.50 % (4050655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.50 % (4050655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.50 % (4050655)CaDiCaL version: 2.1.3
% 1.24/0.50 % (4050655)Termination reason: Instruction limit
% 1.24/0.50 % (4050655)Termination phase: shuffling
% 1.24/0.50 % (4050655)Time elapsed: 0.003 s
% 1.24/0.50 % (4050655)Peak memory usage: 10 MB
% 1.24/0.50 % (4050655)Instructions burned: 11 (million)
% 1.24/0.50 % (4050657)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.24/0.50 % (4050649)Instruction limit reached!
% 1.24/0.50 % (4050649)------------------------------
% 1.24/0.50 % (4050649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.50 % (4050649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.50 % (4050649)CaDiCaL version: 2.1.3
% 1.24/0.50 % (4050649)Termination reason: Instruction limit
% 1.24/0.50 % (4050649)Termination phase: shuffling
% 1.24/0.50 % (4050649)Time elapsed: 0.007 s
% 1.24/0.50 % (4050649)Peak memory usage: 10 MB
% 1.24/0.50 % (4050649)Instructions burned: 14 (million)
% 1.24/0.50 % (4050657)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=1580853992:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.24/0.50 % (4050662)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=115755884:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.24/0.50 % (4050657)Instruction limit reached!
% 1.24/0.50 % (4050657)------------------------------
% 1.24/0.50 % (4050657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.50 % (4050657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.50 % (4050657)CaDiCaL version: 2.1.3
% 1.24/0.50 % (4050657)Termination reason: Instruction limit
% 1.24/0.50 % (4050657)Termination phase: shuffling
% 1.24/0.50 % (4050657)Time elapsed: 0.002 s
% 1.24/0.50 % (4050657)Peak memory usage: 10 MB
% 1.24/0.50 % (4050657)Instructions burned: 2 (million)
% 1.24/0.50 % (4050658)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=291127159:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.24/0.50 % (4050663)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3339361263:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.24/0.50 % (4050658)Instruction limit reached!
% 1.24/0.50 % (4050658)------------------------------
% 1.24/0.50 % (4050658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.50 % (4050658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.50 % (4050658)CaDiCaL version: 2.1.3
% 1.24/0.50 % (4050658)Termination reason: Instruction limit
% 1.24/0.50 % (4050658)Termination phase: Clausification
% 1.24/0.50 % (4050658)Time elapsed: 0.020 s
% 1.24/0.50 % (4050658)Peak memory usage: 11 MB
% 1.24/0.50 % (4050658)Instructions burned: 40 (million)
% 1.24/0.50 % (4050663)Instruction limit reached!
% 1.24/0.50 % (4050663)------------------------------
% 1.24/0.50 % (4050663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.50 % (4050663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.50 % (4050663)CaDiCaL version: 2.1.3
% 1.24/0.50 % (4050663)Termination reason: Instruction limit
% 1.24/0.50 % (4050663)Termination phase: Property scanning
% 1.24/0.50 % (4050663)Time elapsed: 0.012 s
% 1.24/0.50 % (4050663)Peak memory usage: 10 MB
% 1.24/0.50 % (4050663)Instructions burned: 26 (million)
% 1.24/0.50 % (4050653)Instruction limit reached!
% 1.24/0.50 % (4050653)------------------------------
% 1.24/0.50 % (4050653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.50 % (4050653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.50 % (4050653)CaDiCaL version: 2.1.3
% 1.24/0.50 % (4050653)Termination reason: Instruction limit
% 1.24/0.50 % (4050653)Termination phase: Property scanning
% 1.24/0.50 % (4050653)Time elapsed: 0.038 s
% 1.24/0.50 % (4050653)Peak memory usage: 11 MB
% 1.24/0.50 % (4050653)Instructions burned: 88 (million)
% 1.24/0.50 % (4050666)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3169174333:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.24/0.56 % (4050666)Instruction limit reached!
% 1.24/0.56 % (4050666)------------------------------
% 1.24/0.56 % (4050666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.56 % (4050666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.56 % (4050666)CaDiCaL version: 2.1.3
% 1.24/0.56 % (4050666)Termination reason: Instruction limit
% 1.24/0.56 % (4050666)Termination phase: shuffling
% 1.24/0.56 % (4050666)Time elapsed: 0.008 s
% 1.24/0.56 % (4050666)Peak memory usage: 10 MB
% 1.24/0.56 % (4050666)Instructions burned: 15 (million)
% 1.24/0.56 % (4050669)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=619066849:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.24/0.56 % (4050670)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=535710549:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.24/0.56 % (4050671)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=79144878: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)
% 1.24/0.56 % (4050671)Instruction limit reached!
% 1.24/0.56 % (4050671)------------------------------
% 1.24/0.56 % (4050671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.56 % (4050671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.56 % (4050671)CaDiCaL version: 2.1.3
% 1.24/0.56 % (4050671)Termination reason: Instruction limit
% 1.24/0.56 % (4050671)Termination phase: shuffling
% 1.24/0.56 % (4050671)Time elapsed: 0.003 s
% 1.24/0.56 % (4050671)Peak memory usage: 10 MB
% 1.24/0.56 % (4050671)Instructions burned: 4 (million)
% 1.24/0.56 % (4050670)Instruction limit reached!
% 1.24/0.56 % (4050670)------------------------------
% 1.24/0.56 % (4050670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.56 % (4050670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.56 % (4050670)CaDiCaL version: 2.1.3
% 1.24/0.56 % (4050670)Termination reason: Instruction limit
% 1.24/0.56 % (4050670)Termination phase: shuffling
% 1.24/0.56 % (4050670)Time elapsed: 0.007 s
% 1.24/0.56 % (4050670)Peak memory usage: 10 MB
% 1.24/0.56 % (4050670)Instructions burned: 15 (million)
% 1.24/0.56 % (4050674)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3637707014:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.24/0.56 % (4050662)Instruction limit reached!
% 1.24/0.56 % (4050662)------------------------------
% 1.24/0.56 % (4050662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.56 % (4050662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.56 % (4050662)CaDiCaL version: 2.1.3
% 1.24/0.56 % (4050662)Termination reason: Instruction limit
% 1.24/0.56 % (4050662)Termination phase: Saturation
% 1.24/0.56 % (4050662)Time elapsed: 0.067 s
% 1.24/0.56 % (4050662)Peak memory usage: 14 MB
% 1.24/0.56 % (4050662)Instructions burned: 250 (million)
% 1.24/0.56 % (4050677)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1088832751:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.24/0.56 % (4050678)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=77858747:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.24/0.56 % (4050674)Instruction limit reached!
% 1.24/0.56 % (4050674)------------------------------
% 1.24/0.56 % (4050674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.56 % (4050674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.56 % (4050674)CaDiCaL version: 2.1.3
% 1.24/0.56 % (4050674)Termination reason: Instruction limit
% 1.24/0.56 % (4050674)Termination phase: shuffling
% 1.24/0.56 % (4050674)Time elapsed: 0.012 s
% 1.24/0.56 % (4050674)Peak memory usage: 10 MB
% 1.24/0.56 % (4050674)Instructions burned: 26 (million)
% 1.24/0.56 % (4050681)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
% 1.24/0.56 % (4050681)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.92/0.59 % (4050681)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=3187898252:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.92/0.59 % (4050677)Instruction limit reached!
% 1.92/0.59 % (4050677)------------------------------
% 1.92/0.59 % (4050677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050677)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050677)Termination reason: Instruction limit
% 1.92/0.59 % (4050677)Termination phase: Property scanning
% 1.92/0.59 % (4050677)Time elapsed: 0.011 s
% 1.92/0.59 % (4050677)Peak memory usage: 10 MB
% 1.92/0.59 % (4050677)Instructions burned: 23 (million)
% 1.92/0.59 % (4050681)Instruction limit reached!
% 1.92/0.59 % (4050681)------------------------------
% 1.92/0.59 % (4050681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050681)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050681)Termination reason: Instruction limit
% 1.92/0.59 % (4050681)Termination phase: shuffling
% 1.92/0.59 % (4050681)Time elapsed: 0.005 s
% 1.92/0.59 % (4050681)Peak memory usage: 10 MB
% 1.92/0.59 % (4050681)Instructions burned: 22 (million)
% 1.92/0.59 % (4050638)Instruction limit reached!
% 1.92/0.59 % (4050638)------------------------------
% 1.92/0.59 % (4050638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050638)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050638)Termination reason: Instruction limit
% 1.92/0.59 % (4050638)Termination phase: Saturation
% 1.92/0.59 % (4050638)Time elapsed: 0.145 s
% 1.92/0.59 % (4050638)Peak memory usage: 13 MB
% 1.92/0.59 % (4050638)Instructions burned: 157 (million)
% 1.92/0.59 % (4050683)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.92/0.59 % (4050683)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=2625571816:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.92/0.59 % (4050686)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2562822668:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.92/0.59 % (4050686)Instruction limit reached!
% 1.92/0.59 % (4050686)------------------------------
% 1.92/0.59 % (4050686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050686)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050686)Termination reason: Instruction limit
% 1.92/0.59 % (4050686)Termination phase: shuffling
% 1.92/0.59 % (4050686)Time elapsed: 0.003 s
% 1.92/0.59 % (4050686)Peak memory usage: 10 MB
% 1.92/0.59 % (4050686)Instructions burned: 10 (million)
% 1.92/0.59 % (4050685)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=3442171999:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.92/0.59 % (4050683)Instruction limit reached!
% 1.92/0.59 % (4050683)------------------------------
% 1.92/0.59 % (4050683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050683)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050683)Termination reason: Instruction limit
% 1.92/0.59 % (4050683)Termination phase: shuffling
% 1.92/0.59 % (4050683)Time elapsed: 0.005 s
% 1.92/0.59 % (4050683)Peak memory usage: 10 MB
% 1.92/0.59 % (4050683)Instructions burned: 9 (million)
% 1.92/0.59 % (4050678)Instruction limit reached!
% 1.92/0.59 % (4050678)------------------------------
% 1.92/0.59 % (4050678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050678)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050678)Termination reason: Instruction limit
% 1.92/0.59 % (4050678)Termination phase: Property scanning
% 1.92/0.59 % (4050678)Time elapsed: 0.029 s
% 1.92/0.59 % (4050678)Peak memory usage: 11 MB
% 1.92/0.59 % (4050678)Instructions burned: 61 (million)
% 1.92/0.59 % (4050687)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=764903429:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.92/0.59 % (4050691)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3593434139:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.92/0.59 % (4050685)Instruction limit reached!
% 1.92/0.59 % (4050685)------------------------------
% 1.92/0.59 % (4050685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050685)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050685)Termination reason: Instruction limit
% 1.92/0.59 % (4050685)Termination phase: Property scanning
% 1.92/0.59 % (4050685)Time elapsed: 0.015 s
% 1.92/0.59 % (4050685)Peak memory usage: 10 MB
% 1.92/0.59 % (4050685)Instructions burned: 33 (million)
% 1.92/0.59 % (4050691)Instruction limit reached!
% 1.92/0.59 % (4050691)------------------------------
% 1.92/0.59 % (4050691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050691)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050691)Termination reason: Instruction limit
% 1.92/0.59 % (4050691)Termination phase: Property scanning
% 1.92/0.59 % (4050691)Time elapsed: 0.006 s
% 1.92/0.59 % (4050691)Peak memory usage: 10 MB
% 1.92/0.59 % (4050691)Instructions burned: 23 (million)
% 1.92/0.59 % (4050687)Instruction limit reached!
% 1.92/0.59 % (4050687)------------------------------
% 1.92/0.59 % (4050687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050687)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050687)Termination reason: Instruction limit
% 1.92/0.59 % (4050687)Termination phase: shuffling
% 1.92/0.59 % (4050687)Time elapsed: 0.011 s
% 1.92/0.59 % (4050687)Peak memory usage: 10 MB
% 1.92/0.59 % (4050687)Instructions burned: 23 (million)
% 1.92/0.59 % (4050692)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2297850567:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.92/0.59 % (4050693)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2781479219:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.92/0.59 % (4050697)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3956911844:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.92/0.59 % (4050696)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=179651833:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.92/0.59 % (4050697)Instruction limit reached!
% 1.92/0.59 % (4050697)------------------------------
% 1.92/0.59 % (4050697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050698)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.92/0.59 % (4050697)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050697)Termination reason: Instruction limit
% 1.92/0.59 % (4050697)Termination phase: Preprocessing 3
% 1.92/0.59 % (4050697)Time elapsed: 0.011 s
% 1.92/0.59 % (4050697)Peak memory usage: 11 MB
% 1.92/0.59 % (4050697)Instructions burned: 44 (million)
% 1.92/0.59 % (4050698)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3306489331:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.92/0.59 % (4050698)Instruction limit reached!
% 1.92/0.59 % (4050698)------------------------------
% 1.92/0.59 % (4050698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050698)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050698)Termination reason: Instruction limit
% 1.92/0.59 % (4050698)Termination phase: shuffling
% 1.92/0.59 % (4050698)Time elapsed: 0.008 s
% 1.92/0.59 % (4050698)Peak memory usage: 10 MB
% 1.92/0.59 % (4050698)Instructions burned: 8 (million)
% 1.92/0.59 % (4050705)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=1811238194:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.92/0.59 % (4050703)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=642939176:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.92/0.59 % (4050696) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4050627-4050696"...
% 1.92/0.59 % (4050696)...printing done.
% 1.92/0.59 % (4050696)Refutation found. Thanks to Tanya!
% 1.92/0.59 % SZS status Theorem for theBenchmark
% 1.92/0.59 % SZS output start Proof for theBenchmark
% 1.92/0.59 thf(type_def_5, type, refine1665802226e_nres: $tType > $tType).
% 1.92/0.59 thf(type_def_6, type, product_unit: $tType).
% 1.92/0.59 thf(type_def_7, type, set: $tType > $tType).
% 1.92/0.59 thf(type_def_8, type, a: $tType).
% 1.92/0.59 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 1.92/0.59 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_4, type, top: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_6, type, lattice: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_9, type, order_bot: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_10, type, semilattice_inf: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_11, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_12, type, bounde1561333602nf_top: !>[X0: $tType]:($o)).
% 1.92/0.59 thf(func_def_13, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.92/0.59 thf(func_def_14, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.92/0.59 thf(func_def_15, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.92/0.59 thf(func_def_16, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.92/0.59 thf(func_def_17, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.92/0.59 thf(func_def_18, type, top_top: !>[X0: $tType]:(X0)).
% 1.92/0.59 thf(func_def_19, type, refine1687780735RETURN: !>[X0: $tType]:((X0 > refine1665802226e_nres @ X0))).
% 1.92/0.59 thf(func_def_20, type, refine463715084e_bind: !>[X0: $tType, X1: $tType]:((refine1665802226e_nres @ X0 > (X0 > refine1665802226e_nres @ X1) > refine1665802226e_nres @ X1))).
% 1.92/0.59 thf(func_def_21, type, refine1315500908_inres: !>[X0: $tType]:((refine1665802226e_nres @ X0 > X0 > $o))).
% 1.92/0.59 thf(func_def_22, type, refine406925620_inres: !>[X0: $tType]:((refine1665802226e_nres @ X0 > X0 > $o))).
% 1.92/0.59 thf(func_def_23, type, refine1102455758nofail: !>[X0: $tType]:((refine1665802226e_nres @ X0 > $o))).
% 1.92/0.59 thf(func_def_24, type, refine1767639642_FAILi: !>[X0: $tType]:(refine1665802226e_nres @ X0)).
% 1.92/0.59 thf(func_def_25, type, refine605929679le_RES: !>[X0: $tType]:((set @ X0 > refine1665802226e_nres @ X0))).
% 1.92/0.59 thf(func_def_26, type, refine1442219249c_nres: !>[X0: $tType, X1: $tType]:((X0 > (set @ X1 > X0) > refine1665802226e_nres @ X1 > X0))).
% 1.92/0.59 thf(func_def_27, type, refine1672542526he_RES: !>[X0: $tType]:((refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_28, type, powp: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 1.92/0.59 thf(func_def_29, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_30, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.92/0.59 thf(func_def_31, type, a2: refine1665802226e_nres @ a).
% 1.92/0.59 thf(func_def_32, type, p: (a > $o)).
% 1.92/0.59 thf(func_def_33, type, q: (a > $o)).
% 1.92/0.59 thf(func_def_37, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.92/0.59 thf(func_def_38, type, db0: !>[X0: $tType]:(X0)).
% 1.92/0.59 thf(func_def_39, type, db1: !>[X0: $tType]:(X0)).
% 1.92/0.59 thf(func_def_40, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.92/0.59 thf(func_def_41, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.92/0.59 thf(func_def_42, type, vAND: ($o > $o > $o)).
% 1.92/0.59 thf(func_def_43, type, vOR: ($o > $o > $o)).
% 1.92/0.59 thf(func_def_44, type, db2: !>[X0: $tType]:(X0)).
% 1.92/0.59 thf(func_def_45, type, vIMP: ($o > $o > $o)).
% 1.92/0.59 thf(func_def_46, type, vNOT: ($o > $o)).
% 1.92/0.59 thf(func_def_47, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.92/0.59 thf(func_def_48, type, sP0: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o))).
% 1.92/0.59 thf(func_def_49, type, sK1: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.92/0.59 thf(func_def_50, type, sK2: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_51, type, sK3: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_52, type, sK4: !>[X0: $tType]:((refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_53, type, sK5: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_54, type, sK6: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_55, type, sK7: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_56, type, sK8: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > refine1665802226e_nres @ X0))).
% 1.92/0.59 thf(func_def_57, type, sK9: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_58, type, sK10: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_59, type, sK11: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_60, type, sK12: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.92/0.59 thf(func_def_61, type, sK13: !>[X0: $tType]:(((X0 > $o) > refine1665802226e_nres @ X0 > X0))).
% 1.92/0.59 thf(func_def_62, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > refine1665802226e_nres @ X0) > (X1 > refine1665802226e_nres @ X0) > refine1665802226e_nres @ X1 > X1))).
% 1.92/0.59 thf(func_def_63, type, sK15: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 1.92/0.59 thf(func_def_64, type, sK16: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 1.92/0.59 thf(func_def_65, type, sK17: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > refine1665802226e_nres @ X0))).
% 1.92/0.59 thf(func_def_66, type, sK18: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_67, type, sK19: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_68, type, sK20: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_69, type, sK21: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.92/0.59 thf(func_def_70, type, sK22: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.92/0.59 thf(func_def_71, type, sK23: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.92/0.59 thf(func_def_72, type, sK24: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.92/0.59 thf(func_def_73, type, sK25: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.92/0.59 thf(func_def_74, type, sK26: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.92/0.59 thf(func_def_75, type, sK27: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.92/0.59 thf(func_def_76, type, sK28: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.92/0.59 thf(func_def_77, type, sK29: !>[X0: $tType]:((set @ X0 > refine1665802226e_nres @ X0 > X0))).
% 1.92/0.59 thf(func_def_78, type, sK30: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.92/0.59 thf(func_def_79, type, sK31: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.92/0.59 thf(func_def_80, type, sK32: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.92/0.59 thf(func_def_81, type, sK33: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > $o) > X0))).
% 1.92/0.59 thf(func_def_82, type, sK34: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_83, type, sK35: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_84, type, sK36: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > refine1665802226e_nres @ X0))).
% 1.92/0.59 thf(func_def_85, type, sK37: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_86, type, sK38: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_87, type, sK39: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_88, type, sK40: !>[X0: $tType, X1: $tType]:(((X0 > refine1665802226e_nres @ X1) > (X0 > refine1665802226e_nres @ X1) > refine1665802226e_nres @ X0 > X0))).
% 1.92/0.59 thf(func_def_89, type, sK41: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 1.92/0.59 thf(func_def_90, type, sK42: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.92/0.59 thf(func_def_91, type, sK43: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.92/0.59 thf(func_def_92, type, sK44: !>[X0: $tType, X1: $tType]:((refine1665802226e_nres @ X1 > (X0 > $o) > (X0 > refine1665802226e_nres @ X1) > X0))).
% 1.92/0.59 thf(func_def_93, type, sK45: !>[X0: $tType]:((refine1665802226e_nres @ X0 > set @ X0))).
% 1.92/0.59 thf(func_def_94, type, sK46: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.92/0.59 thf(f5,axiom,(
% 1.92/0.59 (ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (inf_inf @ refine1665802226e_nres @ a @ (refine605929679le_RES @ a @ (collect @ a @ p)) @ (refine605929679le_RES @ a @ (collect @ a @ q))))),
% 1.92/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062A_A_092_060le_062_Ainf_A_ISPEC_AP_J_A_ISPEC_AQ_J_092_060close_062)).
% 1.92/0.59 thf(f66,axiom,(
% 1.92/0.59 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : (((inf_inf @ refine1665802226e_nres @ X0 @ (refine605929679le_RES @ X0 @ X1) @ (refine605929679le_RES @ X0 @ X2))) = ((refine605929679le_RES @ X0 @ (inf_inf @ set @ X0 @ X1 @ X2))))),
% 1.92/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_inf__nres_Osimps_I3_J)).
% 1.92/0.59 thf(f127,axiom,(
% 1.92/0.59 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (((collect @ X0 @ (^[X3 : X0] : ((X1 @ X3) & (X2 @ X3))))) = ((inf_inf @ set @ X0 @ (collect @ X0 @ X1) @ (collect @ X0 @ X2))))),
% 1.92/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_Collect__conj__eq)).
% 1.92/0.59 thf(f312,conjecture,(
% 1.92/0.59 (ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (collect @ a @ (^[X0 : a] : ((p @ X0) & (q @ X0))))))),
% 1.92/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.92/0.59 thf(f313,negated_conjecture,(
% 1.92/0.59 ~(ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (collect @ a @ (^[X0 : a] : ((p @ X0) & (q @ X0))))))),
% 1.92/0.59 inference(negated_conjecture,[status(cth)],[f312])).
% 1.92/0.59 thf(f630,plain,(
% 1.92/0.59 ~(ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (collect @ a @ (^[X0 : a] : ((p @ X0) & (q @ X0))))))),
% 1.92/0.59 inference(rectify,[],[f313])).
% 1.92/0.59 thf(f631,plain,(
% 1.92/0.59 ~ (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (collect @ a @ (^[Y0 : a]: ((q @ Y0) & (p @ Y0))))))) = $true)),
% 1.92/0.59 inference(fool_elimination,[],[f630])).
% 1.92/0.59 thf(f711,plain,(
% 1.92/0.59 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : (((collect @ X0 @ (^[X3 : X0] : ((X2 @ X3) & (X1 @ X3))))) = ((inf_inf @ set @ X0 @ (collect @ X0 @ X2) @ (collect @ X0 @ X1))))),
% 1.92/0.59 inference(rectify,[],[f127])).
% 1.92/0.59 thf(f712,plain,(
% 1.92/0.59 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (((collect @ X0 @ (^[Y0 : X0]: ((X1 @ Y0) & (X2 @ Y0))))) = ((inf_inf @ set @ X0 @ (collect @ X0 @ X2) @ (collect @ X0 @ X1))))),
% 1.92/0.59 inference(fool_elimination,[],[f711])).
% 1.92/0.59 thf(f802,plain,(
% 1.92/0.59 (ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (inf_inf @ refine1665802226e_nres @ a @ (refine605929679le_RES @ a @ (collect @ a @ p)) @ (refine605929679le_RES @ a @ (collect @ a @ q))))),
% 1.92/0.59 inference(rectify,[],[f5])).
% 1.92/0.59 thf(f803,plain,(
% 1.92/0.59 (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (inf_inf @ refine1665802226e_nres @ a @ (refine605929679le_RES @ a @ (collect @ a @ p)) @ (refine605929679le_RES @ a @ (collect @ a @ q))))) = $true)),
% 1.92/0.59 inference(fool_elimination,[],[f802])).
% 1.92/0.59 thf(f874,plain,(
% 1.92/0.59 (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (collect @ a @ (^[Y0 : a]: ((q @ Y0) & (p @ Y0))))))) != $true)),
% 1.92/0.59 inference(flattening,[],[f631])).
% 1.92/0.59 thf(f886,plain,(
% 1.92/0.59 ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : (((inf_inf @ refine1665802226e_nres @ X0 @ (refine605929679le_RES @ X0 @ X2) @ (refine605929679le_RES @ X0 @ X1))) = ((refine605929679le_RES @ X0 @ (inf_inf @ set @ X0 @ X2 @ X1))))),
% 1.92/0.59 inference(rectify,[],[f66])).
% 1.92/0.59 thf(f1046,plain,(
% 1.92/0.59 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : (((inf_inf @ set @ X0 @ (collect @ X0 @ X1) @ (collect @ X0 @ X2))) = ((collect @ X0 @ (^[Y0 : X0]: ((X2 @ Y0) & (X1 @ Y0))))))),
% 1.92/0.59 inference(rectify,[],[f712])).
% 1.92/0.59 thf(f1084,plain,(
% 1.92/0.59 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0] : (((inf_inf @ refine1665802226e_nres @ X0 @ (refine605929679le_RES @ X0 @ X1) @ (refine605929679le_RES @ X0 @ X2))) = ((refine605929679le_RES @ X0 @ (inf_inf @ set @ X0 @ X1 @ X2))))),
% 1.92/0.59 inference(rectify,[],[f886])).
% 1.92/0.59 thf(f1171,plain,(
% 1.92/0.59 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : ((((inf_inf @ set @ X0 @ (collect @ X0 @ X1) @ (collect @ X0 @ X2))) = ((collect @ X0 @ (^[Y0 : X0]: ((X2 @ Y0) & (X1 @ Y0))))))) )),
% 1.92/0.59 inference(cnf_transformation,[],[f1046])).
% 1.92/0.59 thf(f1187,plain,(
% 1.92/0.59 (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (inf_inf @ refine1665802226e_nres @ a @ (refine605929679le_RES @ a @ (collect @ a @ p)) @ (refine605929679le_RES @ a @ (collect @ a @ q))))) = $true)),
% 1.92/0.59 inference(cnf_transformation,[],[f803])).
% 1.92/0.59 thf(f1247,plain,(
% 1.92/0.59 ( ! [X0 : $tType,X2 : set @ X0,X1 : set @ X0] : ((((inf_inf @ refine1665802226e_nres @ X0 @ (refine605929679le_RES @ X0 @ X1) @ (refine605929679le_RES @ X0 @ X2))) = ((refine605929679le_RES @ X0 @ (inf_inf @ set @ X0 @ X1 @ X2))))) )),
% 1.92/0.59 inference(cnf_transformation,[],[f1084])).
% 1.92/0.59 thf(f1320,plain,(
% 1.92/0.59 (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (collect @ a @ (^[Y0 : a]: ((q @ Y0) & (p @ Y0))))))) != $true)),
% 1.92/0.59 inference(cnf_transformation,[],[f874])).
% 1.92/0.59 thf(f1559,definition,(
% 1.92/0.59 spl47_1 <=> (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (collect @ a @ (^[Y0 : a]: ((q @ Y0) & (p @ Y0))))))) = $true)),
% 1.92/0.59 introduced(definition,[new_symbols(definition,[spl47_1])],[avatar_definition])).
% 1.92/0.59 thf(f1561,plain,(
% 1.92/0.59 (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (collect @ a @ (^[Y0 : a]: ((q @ Y0) & (p @ Y0))))))) != $true) | spl47_1),
% 1.92/0.59 inference(avatar_component_clause,[],[f1559])).
% 1.92/0.59 thf(f1562,plain,(
% 1.92/0.59 ~spl47_1),
% 1.92/0.59 inference(avatar_split_clause,[],[f1320,f1559])).
% 1.92/0.59 thf(f1579,definition,(
% 1.92/0.59 spl47_5 <=> (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (inf_inf @ refine1665802226e_nres @ a @ (refine605929679le_RES @ a @ (collect @ a @ p)) @ (refine605929679le_RES @ a @ (collect @ a @ q))))) = $true)),
% 1.92/0.59 introduced(definition,[new_symbols(definition,[spl47_5])],[avatar_definition])).
% 1.92/0.59 thf(f1581,plain,(
% 1.92/0.59 (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (inf_inf @ refine1665802226e_nres @ a @ (refine605929679le_RES @ a @ (collect @ a @ p)) @ (refine605929679le_RES @ a @ (collect @ a @ q))))) = $true) | ~spl47_5),
% 1.92/0.59 inference(avatar_component_clause,[],[f1579])).
% 1.92/0.59 thf(f1582,plain,(
% 1.92/0.59 spl47_5),
% 1.92/0.59 inference(avatar_split_clause,[],[f1187,f1579])).
% 1.92/0.59 thf(f1589,plain,(
% 1.92/0.59 ($true = ((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (inf_inf @ set @ a @ (collect @ a @ p) @ (collect @ a @ q)))))) | ~spl47_5),
% 1.92/0.59 inference(forward_demodulation,[],[f1581,f1247])).
% 1.92/0.59 thf(f1590,plain,(
% 1.92/0.59 (((ord_less_eq @ refine1665802226e_nres @ a @ a2 @ (refine605929679le_RES @ a @ (collect @ a @ (^[Y0 : a]: ((q @ Y0) & (p @ Y0))))))) = $true) | ~spl47_5),
% 1.92/0.59 inference(forward_demodulation,[],[f1589,f1171])).
% 1.92/0.59 thf(f1591,plain,(
% 1.92/0.59 $false | (spl47_1 | ~spl47_5)),
% 1.92/0.59 inference(forward_subsumption_resolution,[],[f1590,f1561])).
% 1.92/0.59 thf(f1592,plain,(
% 1.92/0.59 spl47_1 | ~spl47_5),
% 1.92/0.59 inference(avatar_contradiction_clause,[],[f1591])).
% 1.92/0.59 cnf(s1, plain, ~spl47_1, inference(sat_conversion,[],[f1562])).
% 1.92/0.59 cnf(s5, plain, spl47_5, inference(sat_conversion,[],[f1582])).
% 1.92/0.59 cnf(s7, plain, spl47_1 | ~spl47_5, inference(sat_conversion,[],[f1592])).
% 1.92/0.59 cnf(s8, plain, spl47_1, inference(rat,[],[s7,s5])).
% 1.92/0.59 cnf(s9, plain, $false, inference(rat,[],[s1,s8])).
% 1.92/0.59 thf(f1593,plain,(
% 1.92/0.59 $false),
% 1.92/0.59 inference(avatar_sat_refutation,[],[s9])).
% 1.92/0.59 % SZS output end Proof for theBenchmark
% 1.92/0.59 % (4050696)------------------------------
% 1.92/0.59 % (4050696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.59 % (4050696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.59 % (4050696)CaDiCaL version: 2.1.3
% 1.92/0.59 % (4050696)Termination reason: Refutation
% 1.92/0.59 % (4050696)Time elapsed: 0.050 s
% 1.92/0.59 % (4050696)Peak memory usage: 14 MB
% 1.92/0.59 % (4050696)Instructions burned: 98 (million)
% 1.92/0.59 % (4050627)Success in time 0.301 s
% 1.92/0.59 % Vampire exiting
%------------------------------------------------------------------------------