%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV174^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:37:58 AM UTC 2026
% Result : Theorem 2.57s 0.66s
% Output : Refutation 2.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV174^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n017.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 15:13:52 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
% 0.09/0.23 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
% 0.82/0.38 % (449881)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.82/0.38 % (449888)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2854089463:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.82/0.38 % (449888)Instruction limit reached!
% 0.82/0.38 % (449888)------------------------------
% 0.82/0.38 % (449888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (449888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (449888)CaDiCaL version: 2.1.3
% 0.82/0.38 % (449888)Termination reason: Instruction limit
% 0.82/0.38 % (449888)Termination phase: Saturation
% 0.82/0.38 % (449888)Time elapsed: 0.002 s
% 0.82/0.38 % (449888)Peak memory usage: 12 MB
% 0.82/0.38 % (449888)Instructions burned: 3 (million)
% 0.82/0.38 % (449890)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1086634807:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.82/0.38 % (449886)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1581678930:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.82/0.38 % (449887)lrs+10_16_si=on:nwc=1.5:random_seed=2293273332:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.82/0.38 % (449892)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.82/0.38 % (449892)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
% 0.82/0.38 % (449889)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=2279876181: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)
% 0.82/0.38 % (449891)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=488523976:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.82/0.38 % (449892)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=433958010:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.82/0.38 % (449890)Instruction limit reached!
% 0.82/0.38 % (449890)------------------------------
% 0.82/0.38 % (449890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (449890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (449890)CaDiCaL version: 2.1.3
% 0.82/0.38 % (449890)Termination reason: Instruction limit
% 0.82/0.38 % (449890)Termination phase: Saturation
% 0.82/0.38 % (449890)Time elapsed: 0.008 s
% 0.82/0.38 % (449890)Peak memory usage: 11 MB
% 0.82/0.38 % (449890)Instructions burned: 25 (million)
% 0.82/0.38 % (449887)Instruction limit reached!
% 0.82/0.38 % (449887)------------------------------
% 0.82/0.38 % (449887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (449887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (449887)CaDiCaL version: 2.1.3
% 0.82/0.38 % (449887)Termination reason: Instruction limit
% 0.82/0.38 % (449887)Termination phase: Saturation
% 0.82/0.38 % (449887)Time elapsed: 0.012 s
% 0.82/0.38 % (449887)Peak memory usage: 12 MB
% 0.82/0.38 % (449887)Instructions burned: 19 (million)
% 0.82/0.38 % (449894)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3586090192:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.38 % (449894)Instruction limit reached!
% 0.82/0.38 % (449894)------------------------------
% 0.82/0.38 % (449894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (449894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (449894)CaDiCaL version: 2.1.3
% 0.82/0.38 % (449894)Termination reason: Instruction limit
% 0.82/0.38 % (449894)Termination phase: Saturation
% 0.82/0.38 % (449894)Time elapsed: 0.002 s
% 0.82/0.38 % (449894)Peak memory usage: 12 MB
% 0.82/0.38 % (449894)Instructions burned: 2 (million)
% 0.82/0.38 % (449901)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3293027689:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.38 % (449901)Instruction limit reached!
% 0.82/0.43 % (449901)------------------------------
% 0.82/0.43 % (449901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43 % (449901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43 % (449901)CaDiCaL version: 2.1.3
% 0.82/0.43 % (449901)Termination reason: Instruction limit
% 0.82/0.43 % (449901)Termination phase: Saturation
% 0.82/0.43 % (449901)Time elapsed: 0.002 s
% 0.82/0.43 % (449901)Peak memory usage: 12 MB
% 0.82/0.43 % (449901)Instructions burned: 6 (million)
% 0.82/0.43 % (449902)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.43 % (449906)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
% 0.82/0.43 % (449906)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.43 % (449906)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1102501844:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.43 % (449902)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3065308733:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.43 % (449904)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=520985761:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.82/0.43 % (449902)Instruction limit reached!
% 0.82/0.43 % (449902)------------------------------
% 0.82/0.43 % (449902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43 % (449902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43 % (449902)CaDiCaL version: 2.1.3
% 0.82/0.43 % (449902)Termination reason: Instruction limit
% 0.82/0.43 % (449902)Termination phase: Saturation
% 0.82/0.43 % (449902)Time elapsed: 0.004 s
% 0.82/0.43 % (449902)Peak memory usage: 12 MB
% 0.82/0.43 % (449902)Instructions burned: 7 (million)
% 0.82/0.43 % (449906)Instruction limit reached!
% 0.82/0.43 % (449906)------------------------------
% 0.82/0.43 % (449906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43 % (449906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43 % (449906)CaDiCaL version: 2.1.3
% 0.82/0.43 % (449906)Termination reason: Instruction limit
% 0.82/0.43 % (449906)Termination phase: Saturation
% 0.82/0.43 % (449906)Time elapsed: 0.008 s
% 0.82/0.43 % (449906)Peak memory usage: 12 MB
% 0.82/0.43 % (449906)Instructions burned: 31 (million)
% 0.82/0.43 % (449904)Instruction limit reached!
% 0.82/0.43 % (449904)------------------------------
% 0.82/0.43 % (449904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43 % (449904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43 % (449904)CaDiCaL version: 2.1.3
% 0.82/0.43 % (449904)Termination reason: Instruction limit
% 0.82/0.43 % (449904)Termination phase: Saturation
% 0.82/0.43 % (449904)Time elapsed: 0.008 s
% 0.82/0.43 % (449904)Peak memory usage: 12 MB
% 0.82/0.43 % (449904)Instructions burned: 12 (million)
% 0.82/0.43 % (449891)Instruction limit reached!
% 0.82/0.43 % (449891)------------------------------
% 0.82/0.43 % (449891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43 % (449891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43 % (449891)CaDiCaL version: 2.1.3
% 0.82/0.43 % (449891)Termination reason: Instruction limit
% 0.82/0.43 % (449891)Termination phase: Saturation
% 0.82/0.43 % (449891)Time elapsed: 0.043 s
% 0.82/0.43 % (449891)Peak memory usage: 13 MB
% 0.82/0.43 % (449891)Instructions burned: 76 (million)
% 0.82/0.43 % (449911)lrs+10_1_si=on:cs=on:random_seed=759443439:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.82/0.43 % (449886)Instruction limit reached!
% 0.82/0.43 % (449886)------------------------------
% 0.82/0.43 % (449886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43 % (449886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43 % (449886)CaDiCaL version: 2.1.3
% 0.82/0.43 % (449886)Termination reason: Instruction limit
% 0.82/0.43 % (449886)Termination phase: Saturation
% 0.82/0.46 % (449886)Time elapsed: 0.052 s
% 0.82/0.46 % (449886)Peak memory usage: 13 MB
% 0.82/0.46 % (449886)Instructions burned: 88 (million)
% 0.82/0.46 % (449911)Instruction limit reached!
% 0.82/0.46 % (449911)------------------------------
% 0.82/0.46 % (449911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (449911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (449911)CaDiCaL version: 2.1.3
% 0.82/0.46 % (449911)Termination reason: Instruction limit
% 0.82/0.46 % (449911)Termination phase: Saturation
% 0.82/0.46 % (449911)Time elapsed: 0.004 s
% 0.82/0.46 % (449911)Peak memory usage: 12 MB
% 0.82/0.46 % (449910)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=2253928094:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.46 % (449911)Instructions burned: 12 (million)
% 0.82/0.46 % (449912)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.46 % (449912)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=1810075054:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.46 % (449912)Instruction limit reached!
% 0.82/0.46 % (449912)------------------------------
% 0.82/0.46 % (449912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (449912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (449912)CaDiCaL version: 2.1.3
% 0.82/0.46 % (449912)Termination reason: Instruction limit
% 0.82/0.46 % (449912)Termination phase: Saturation
% 0.82/0.46 % (449912)Time elapsed: 0.002 s
% 0.82/0.46 % (449912)Peak memory usage: 11 MB
% 0.82/0.46 % (449912)Instructions burned: 3 (million)
% 0.82/0.46 % (449917)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=681914494:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.82/0.46 % (449913)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2164406523:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.82/0.46 % (449917)Instruction limit reached!
% 0.82/0.46 % (449917)------------------------------
% 0.82/0.46 % (449917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (449917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (449917)CaDiCaL version: 2.1.3
% 0.82/0.46 % (449917)Termination reason: Instruction limit
% 0.82/0.46 % (449917)Termination phase: Saturation
% 0.82/0.46 % (449917)Time elapsed: 0.015 s
% 0.82/0.46 % (449917)Peak memory usage: 12 MB
% 0.82/0.46 % (449917)Instructions burned: 25 (million)
% 0.82/0.46 % (449915)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2630805:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.82/0.46 % (449892)Instruction limit reached!
% 0.82/0.46 % (449892)------------------------------
% 0.82/0.46 % (449892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (449892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (449892)CaDiCaL version: 2.1.3
% 0.82/0.46 % (449892)Termination reason: Instruction limit
% 0.82/0.46 % (449892)Termination phase: Saturation
% 0.82/0.46 % (449892)Time elapsed: 0.085 s
% 0.82/0.46 % (449892)Peak memory usage: 13 MB
% 0.82/0.46 % (449892)Instructions burned: 159 (million)
% 0.82/0.46 % (449922)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1448662412:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.82/0.46 % (449919)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=226934977:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.82/0.46 % (449913)Refutation not found, incomplete strategy
% 0.82/0.46 % (449913)------------------------------
% 0.82/0.46 % (449913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (449913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (449913)CaDiCaL version: 2.1.3
% 0.82/0.46 % (449913)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.46 % (449913)Time elapsed: 0.023 s
% 0.82/0.46 % (449913)Peak memory usage: 12 MB
% 1.52/0.52 % (449913)Instructions burned: 12 (million)
% 1.52/0.52 % (449913)------------------------------
% 1.52/0.52 % (449913)------------------------------
% 1.52/0.52 % (449910)Instruction limit reached!
% 1.52/0.52 % (449910)------------------------------
% 1.52/0.52 % (449910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (449910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (449910)CaDiCaL version: 2.1.3
% 1.52/0.52 % (449910)Termination reason: Instruction limit
% 1.52/0.52 % (449910)Termination phase: Saturation
% 1.52/0.52 % (449910)Time elapsed: 0.049 s
% 1.52/0.52 % (449910)Peak memory usage: 12 MB
% 1.52/0.52 % (449910)Instructions burned: 86 (million)
% 1.52/0.52 % (449924)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2118407275:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.52/0.52 % (449924)Instruction limit reached!
% 1.52/0.52 % (449924)------------------------------
% 1.52/0.52 % (449924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (449924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (449924)CaDiCaL version: 2.1.3
% 1.52/0.52 % (449924)Termination reason: Instruction limit
% 1.52/0.52 % (449924)Termination phase: Saturation
% 1.52/0.52 % (449924)Time elapsed: 0.009 s
% 1.52/0.52 % (449924)Peak memory usage: 12 MB
% 1.52/0.52 % (449924)Instructions burned: 15 (million)
% 1.52/0.52 % (449919)Instruction limit reached!
% 1.52/0.52 % (449919)------------------------------
% 1.52/0.52 % (449919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (449919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (449919)CaDiCaL version: 2.1.3
% 1.52/0.52 % (449919)Termination reason: Instruction limit
% 1.52/0.52 % (449919)Termination phase: Saturation
% 1.52/0.52 % (449919)Time elapsed: 0.020 s
% 1.52/0.52 % (449919)Peak memory usage: 12 MB
% 1.52/0.52 % (449919)Instructions burned: 14 (million)
% 1.52/0.52 % (449928)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=693867017:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.52/0.52 % (449927)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=703113229: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)
% 1.52/0.52 % (449928)Refutation not found, incomplete strategy
% 1.52/0.52 % (449928)------------------------------
% 1.52/0.52 % (449928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (449928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (449928)CaDiCaL version: 2.1.3
% 1.52/0.52 % (449928)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.52 % (449928)Time elapsed: 0.013 s
% 1.52/0.52 % (449928)Peak memory usage: 12 MB
% 1.52/0.52 % (449928)Instructions burned: 21 (million)
% 1.52/0.52 % (449930)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3131954204:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.52/0.52 % (449928)------------------------------
% 1.52/0.52 % (449928)------------------------------
% 1.52/0.52 % (449927)Instruction limit reached!
% 1.52/0.52 % (449927)------------------------------
% 1.52/0.52 % (449927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (449927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (449927)CaDiCaL version: 2.1.3
% 1.52/0.52 % (449927)Termination reason: Instruction limit
% 1.52/0.52 % (449927)Termination phase: Saturation
% 1.52/0.52 % (449927)Time elapsed: 0.003 s
% 1.52/0.52 % (449927)Peak memory usage: 11 MB
% 1.52/0.52 % (449927)Instructions burned: 2 (million)
% 1.52/0.52 % (449931)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2166357557:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.52/0.52 % (449930)Instruction limit reached!
% 1.52/0.52 % (449930)------------------------------
% 1.52/0.52 % (449930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (449930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (449930)CaDiCaL version: 2.1.3
% 1.52/0.52 % (449930)Termination reason: Instruction limit
% 1.52/0.52 % (449930)Termination phase: Saturation
% 1.52/0.52 % (449930)Time elapsed: 0.013 s
% 1.52/0.57 % (449930)Peak memory usage: 11 MB
% 1.52/0.57 % (449930)Instructions burned: 24 (million)
% 1.52/0.57 % (449935)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
% 1.52/0.57 % (449935)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.52/0.57 % (449937)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.52/0.57 % (449935)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=3098881317:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.52/0.57 % (449937)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=1154126456:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.52/0.57 % (449935)Instruction limit reached!
% 1.52/0.57 % (449935)------------------------------
% 1.52/0.57 % (449935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.57 % (449935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.57 % (449935)CaDiCaL version: 2.1.3
% 1.52/0.57 % (449935)Termination reason: Instruction limit
% 1.52/0.57 % (449935)Termination phase: Saturation
% 1.52/0.57 % (449935)Time elapsed: 0.009 s
% 1.52/0.57 % (449935)Peak memory usage: 12 MB
% 1.52/0.57 % (449935)Instructions burned: 14 (million)
% 1.52/0.57 % (449937)Instruction limit reached!
% 1.52/0.57 % (449937)------------------------------
% 1.52/0.57 % (449937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.57 % (449937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.57 % (449937)CaDiCaL version: 2.1.3
% 1.52/0.57 % (449937)Termination reason: Instruction limit
% 1.52/0.57 % (449937)Termination phase: Saturation
% 1.52/0.57 % (449937)Time elapsed: 0.010 s
% 1.52/0.57 % (449937)Peak memory usage: 12 MB
% 1.52/0.57 % (449937)Instructions burned: 9 (million)
% 1.52/0.57 % (449938)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=2875457648:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.52/0.57 % (449931)Instruction limit reached!
% 1.52/0.57 % (449931)------------------------------
% 1.52/0.57 % (449931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.57 % (449931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.57 % (449931)CaDiCaL version: 2.1.3
% 1.52/0.57 % (449931)Termination reason: Instruction limit
% 1.52/0.57 % (449931)Termination phase: Saturation
% 1.52/0.57 % (449931)Time elapsed: 0.033 s
% 1.52/0.57 % (449931)Peak memory usage: 12 MB
% 1.52/0.57 % (449931)Instructions burned: 62 (million)
% 1.52/0.57 % (449922)Instruction limit reached!
% 1.52/0.57 % (449922)------------------------------
% 1.52/0.57 % (449922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.57 % (449922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.57 % (449922)CaDiCaL version: 2.1.3
% 1.52/0.57 % (449922)Termination reason: Instruction limit
% 1.52/0.57 % (449922)Termination phase: Saturation
% 1.52/0.57 % (449922)Time elapsed: 0.091 s
% 1.52/0.57 % (449922)Peak memory usage: 13 MB
% 1.52/0.57 % (449922)Instructions burned: 327 (million)
% 1.52/0.57 % (449938)Instruction limit reached!
% 1.52/0.57 % (449938)------------------------------
% 1.52/0.57 % (449938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.57 % (449938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.57 % (449938)CaDiCaL version: 2.1.3
% 1.52/0.57 % (449938)Termination reason: Instruction limit
% 1.52/0.57 % (449938)Termination phase: Saturation
% 1.52/0.57 % (449938)Time elapsed: 0.017 s
% 1.52/0.57 % (449938)Peak memory usage: 12 MB
% 1.52/0.57 % (449938)Instructions burned: 32 (million)
% 1.52/0.57 % (449941)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=547027291:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.52/0.57 % (449944)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=829068819:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.29/0.62 % (449941)Instruction limit reached!
% 2.29/0.62 % (449941)------------------------------
% 2.29/0.62 % (449941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.62 % (449941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.62 % (449941)CaDiCaL version: 2.1.3
% 2.29/0.62 % (449941)Termination reason: Instruction limit
% 2.29/0.62 % (449941)Termination phase: Saturation
% 2.29/0.62 % (449941)Time elapsed: 0.004 s
% 2.29/0.62 % (449941)Peak memory usage: 12 MB
% 2.29/0.62 % (449941)Instructions burned: 13 (million)
% 2.29/0.62 % (449943)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4198700457:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.29/0.62 % (449949)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4000820336:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.29/0.62 % (449944)Instruction limit reached!
% 2.29/0.62 % (449944)------------------------------
% 2.29/0.62 % (449944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.62 % (449944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.62 % (449944)CaDiCaL version: 2.1.3
% 2.29/0.62 % (449944)Termination reason: Instruction limit
% 2.29/0.62 % (449944)Termination phase: Saturation
% 2.29/0.62 % (449944)Time elapsed: 0.012 s
% 2.29/0.62 % (449944)Peak memory usage: 12 MB
% 2.29/0.62 % (449944)Instructions burned: 20 (million)
% 2.29/0.62 % (449943)Instruction limit reached!
% 2.29/0.62 % (449943)------------------------------
% 2.29/0.62 % (449943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.62 % (449943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.62 % (449943)CaDiCaL version: 2.1.3
% 2.29/0.62 % (449943)Termination reason: Instruction limit
% 2.29/0.62 % (449943)Termination phase: Saturation
% 2.29/0.62 % (449943)Time elapsed: 0.009 s
% 2.29/0.62 % (449943)Peak memory usage: 11 MB
% 2.29/0.62 % (449943)Instructions burned: 23 (million)
% 2.29/0.62 % (449947)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1770148796:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.29/0.62 % (449945)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=258784685:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.29/0.62 % (449953)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.29/0.62 % (449952)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1911844734:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.29/0.62 % (449953)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=549988040:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.29/0.62 % (449953)Instruction limit reached!
% 2.29/0.62 % (449953)------------------------------
% 2.29/0.62 % (449953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.62 % (449953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.62 % (449953)CaDiCaL version: 2.1.3
% 2.29/0.62 % (449953)Termination reason: Instruction limit
% 2.29/0.62 % (449953)Termination phase: Saturation
% 2.29/0.62 % (449953)Time elapsed: 0.005 s
% 2.29/0.62 % (449953)Peak memory usage: 12 MB
% 2.29/0.62 % (449953)Instructions burned: 9 (million)
% 2.29/0.62 % (449915)Instruction limit reached!
% 2.29/0.62 % (449915)------------------------------
% 2.29/0.62 % (449915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.62 % (449915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.62 % (449915)CaDiCaL version: 2.1.3
% 2.29/0.62 % (449915)Termination reason: Instruction limit
% 2.29/0.62 % (449915)Termination phase: Saturation
% 2.29/0.62 % (449915)Time elapsed: 0.151 s
% 2.29/0.62 % (449915)Peak memory usage: 13 MB
% 2.29/0.62 % (449915)Instructions burned: 251 (million)
% 2.29/0.62 % (449952)Instruction limit reached!
% 2.29/0.62 % (449952)------------------------------
% 2.29/0.62 % (449952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.62 % (449952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.62 % (449952)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449952)Termination reason: Instruction limit
% 2.57/0.66 % (449952)Termination phase: Saturation
% 2.57/0.66 % (449952)Time elapsed: 0.021 s
% 2.57/0.66 % (449952)Peak memory usage: 12 MB
% 2.57/0.66 % (449952)Instructions burned: 42 (million)
% 2.57/0.66 % (449958)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=957294537:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.57/0.66 % (449949)Instruction limit reached!
% 2.57/0.66 % (449949)------------------------------
% 2.57/0.66 % (449949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449949)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449949)Termination reason: Instruction limit
% 2.57/0.66 % (449949)Termination phase: Saturation
% 2.57/0.66 % (449949)Time elapsed: 0.054 s
% 2.57/0.66 % (449949)Peak memory usage: 12 MB
% 2.57/0.66 % (449949)Instructions burned: 197 (million)
% 2.57/0.66 % (449959)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=2671881198: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)
% 2.57/0.66 % (449960)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.57/0.66 % (449960)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2176112990:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.57/0.66 % (449963)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3223234375:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.57/0.66 % (449960)Instruction limit reached!
% 2.57/0.66 % (449960)------------------------------
% 2.57/0.66 % (449960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449960)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449960)Termination reason: Instruction limit
% 2.57/0.66 % (449960)Termination phase: Saturation
% 2.57/0.66 % (449960)Time elapsed: 0.004 s
% 2.57/0.66 % (449960)Peak memory usage: 12 MB
% 2.57/0.66 % (449960)Instructions burned: 8 (million)
% 2.57/0.66 % (449963)Instruction limit reached!
% 2.57/0.66 % (449963)------------------------------
% 2.57/0.66 % (449963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449963)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449963)Termination reason: Instruction limit
% 2.57/0.66 % (449963)Termination phase: Saturation
% 2.57/0.66 % (449963)Time elapsed: 0.008 s
% 2.57/0.66 % (449963)Peak memory usage: 12 MB
% 2.57/0.66 % (449963)Instructions burned: 33 (million)
% 2.57/0.66 % (449967)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1314400204:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.57/0.66 % (449966)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2483587121:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.57/0.66 % (449947)Instruction limit reached!
% 2.57/0.66 % (449947)------------------------------
% 2.57/0.66 % (449947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449947)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449947)Termination reason: Instruction limit
% 2.57/0.66 % (449947)Termination phase: Saturation
% 2.57/0.66 % (449947)Time elapsed: 0.082 s
% 2.57/0.66 % (449947)Peak memory usage: 13 MB
% 2.57/0.66 % (449947)Instructions burned: 143 (million)
% 2.57/0.66 % (449966)Instruction limit reached!
% 2.57/0.66 % (449966)------------------------------
% 2.57/0.66 % (449966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449966)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449966)Termination reason: Instruction limit
% 2.57/0.66 % (449966)Termination phase: Saturation
% 2.57/0.66 % (449966)Time elapsed: 0.012 s
% 2.57/0.66 % (449966)Peak memory usage: 12 MB
% 2.57/0.66 % (449966)Instructions burned: 21 (million)
% 2.57/0.66 % (449971)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2426312376:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.57/0.66 % (449970)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3687996878:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.57/0.66 % (449889)Instruction limit reached!
% 2.57/0.66 % (449889)------------------------------
% 2.57/0.66 % (449889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449889)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449889)Termination reason: Instruction limit
% 2.57/0.66 % (449889)Termination phase: Saturation
% 2.57/0.66 % (449889)Time elapsed: 0.320 s
% 2.57/0.66 % (449889)Peak memory usage: 14 MB
% 2.57/0.66 % (449889)Instructions burned: 635 (million)
% 2.57/0.66 % (449971)Instruction limit reached!
% 2.57/0.66 % (449971)------------------------------
% 2.57/0.66 % (449971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449971)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449971)Termination reason: Instruction limit
% 2.57/0.66 % (449971)Termination phase: Saturation
% 2.57/0.66 % (449971)Time elapsed: 0.016 s
% 2.57/0.66 % (449971)Peak memory usage: 12 MB
% 2.57/0.66 % (449971)Instructions burned: 46 (million)
% 2.57/0.66 % (449970)Refutation not found, incomplete strategy
% 2.57/0.66 % (449970)------------------------------
% 2.57/0.66 % (449970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449970)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449970)Termination reason: Refutation not found, incomplete strategy
% 2.57/0.66 % (449970)Time elapsed: 0.021 s
% 2.57/0.66 % (449970)Peak memory usage: 12 MB
% 2.57/0.66 % (449970)Instructions burned: 31 (million)
% 2.57/0.66 % (449970)------------------------------
% 2.57/0.66 % (449970)------------------------------
% 2.57/0.66 % (449975)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3894557123:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.57/0.66 % (449959)Instruction limit reached!
% 2.57/0.66 % (449959)------------------------------
% 2.57/0.66 % (449959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449959)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449959)Termination reason: Instruction limit
% 2.57/0.66 % (449959)Termination phase: Saturation
% 2.57/0.66 % (449959)Time elapsed: 0.080 s
% 2.57/0.66 % (449959)Peak memory usage: 13 MB
% 2.57/0.66 % (449959)Instructions burned: 169 (million)
% 2.57/0.66 % (449974)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3187853845:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.57/0.66 % (449958)Instruction limit reached!
% 2.57/0.66 % (449958)------------------------------
% 2.57/0.66 % (449958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449958)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449958)Termination reason: Instruction limit
% 2.57/0.66 % (449958)Termination phase: Saturation
% 2.57/0.66 % (449958)Time elapsed: 0.096 s
% 2.57/0.66 % (449958)Peak memory usage: 13 MB
% 2.57/0.66 % (449958)Instructions burned: 181 (million)
% 2.57/0.66 % (449975)Instruction limit reached!
% 2.57/0.66 % (449975)------------------------------
% 2.57/0.66 % (449975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449975)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449975)Termination reason: Instruction limit
% 2.57/0.66 % (449975)Termination phase: Saturation
% 2.57/0.66 % (449975)Time elapsed: 0.007 s
% 2.57/0.66 % (449975)Peak memory usage: 12 MB
% 2.57/0.66 % (449975)Instructions burned: 25 (million)
% 2.57/0.66 % (449976)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.57/0.66 % (449976)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2178676504:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.57/0.66 % (449981)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4120452327:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.57/0.66 % (449978)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2762093587:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.57/0.66 % (449980)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2092927467:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.57/0.66 % (449978)Instruction limit reached!
% 2.57/0.66 % (449978)------------------------------
% 2.57/0.66 % (449978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449978)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449978)Termination reason: Instruction limit
% 2.57/0.66 % (449978)Termination phase: Saturation
% 2.57/0.66 % (449978)Time elapsed: 0.009 s
% 2.57/0.66 % (449978)Peak memory usage: 12 MB
% 2.57/0.66 % (449978)Instructions burned: 13 (million)
% 2.57/0.66 % (449981)Instruction limit reached!
% 2.57/0.66 % (449981)------------------------------
% 2.57/0.66 % (449981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449981)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449981)Termination reason: Instruction limit
% 2.57/0.66 % (449981)Termination phase: Saturation
% 2.57/0.66 % (449981)Time elapsed: 0.015 s
% 2.57/0.66 % (449981)Peak memory usage: 12 MB
% 2.57/0.66 % (449981)Instructions burned: 52 (million)
% 2.57/0.66 % (449980) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-449881-449980"...
% 2.57/0.66 % (449987)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=317021150:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.57/0.66 % (449980)...printing done.
% 2.57/0.66 % (449980)Refutation found. Thanks to Tanya!
% 2.57/0.66 % SZS status Theorem for theBenchmark
% 2.57/0.66 % SZS output start Proof for theBenchmark
% 2.57/0.66 thf(type_def_5, type, a: $tType).
% 2.57/0.66 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 2.57/0.66 thf(func_def_0, type, cP: ((a > $o) > $o)).
% 2.57/0.66 thf(func_def_4, type, sP0: (a > $o)).
% 2.57/0.66 thf(func_def_5, type, sP1: ((a > $o) > (a > $o) > $o)).
% 2.57/0.66 thf(func_def_6, type, sP2: ((a > $o) > $o)).
% 2.57/0.66 thf(func_def_7, type, sP3: $o).
% 2.57/0.66 thf(func_def_8, type, sK4: (a > $o)).
% 2.57/0.66 thf(func_def_9, type, sK5: (a > $o)).
% 2.57/0.66 thf(func_def_10, type, sK6: ((a > $o) > a)).
% 2.57/0.66 thf(func_def_11, type, sK7: ((a > $o) > (a > $o) > a)).
% 2.57/0.66 thf(func_def_12, type, sK8: (a > a > $o)).
% 2.57/0.66 thf(func_def_13, type, sK9: (a > $o)).
% 2.57/0.66 thf(func_def_14, type, sK10: ((a > $o) > a)).
% 2.57/0.66 thf(func_def_15, type, vNOT: ($o > $o)).
% 2.57/0.66 thf(func_def_17, type, db0: !>[X0: $tType]:(X0)).
% 2.57/0.66 thf(func_def_18, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.57/0.66 thf(func_def_19, type, sK12: a).
% 2.57/0.66 thf(f1,conjecture,(
% 2.57/0.66 (! [X0 : (a > $o),X3 : (a > $o),X2 : a] : (((cP @ X3) & (X3 @ X2) & (cP @ X0) & (X0 @ X2)) => (X0 = X3)) & ! [X0 : (a > $o)] : ((cP @ X0) => ? [X1 : a] : (X0 @ X1))) => ? [X4 : (a > $o)] : (! [X2 : a] : ((X4 @ X2) <=> ? [X6 : (a > $o)] : ((X6 @ X2) & (cP @ X6))) & ! [X5 : (a > $o)] : ((cP @ X5) => ? [X2 : a] : (X5 @ X2)) & ! [X7 : (a > $o),X8 : (a > $o)] : ((? [X2 : a] : ((X7 @ X2) & (X8 @ X2)) & (cP @ X7) & (cP @ X8)) => (X7 = X8)))),
% 2.57/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM555_pme)).
% 2.57/0.66 thf(f2,negated_conjecture,(
% 2.57/0.66 ~((! [X0 : (a > $o),X3 : (a > $o),X2 : a] : (((cP @ X3) & (X3 @ X2) & (cP @ X0) & (X0 @ X2)) => (X0 = X3)) & ! [X0 : (a > $o)] : ((cP @ X0) => ? [X1 : a] : (X0 @ X1))) => ? [X4 : (a > $o)] : (! [X2 : a] : ((X4 @ X2) <=> ? [X6 : (a > $o)] : ((X6 @ X2) & (cP @ X6))) & ! [X5 : (a > $o)] : ((cP @ X5) => ? [X2 : a] : (X5 @ X2)) & ! [X7 : (a > $o),X8 : (a > $o)] : ((? [X2 : a] : ((X7 @ X2) & (X8 @ X2)) & (cP @ X7) & (cP @ X8)) => (X7 = X8))))),
% 2.57/0.66 inference(negated_conjecture,[status(cth)],[f1])).
% 2.57/0.66 thf(f3,plain,(
% 2.57/0.66 ~((! [X0 : (a > $o),X1 : (a > $o),X2 : a] : (((cP @ X1) & (X1 @ X2) & (cP @ X0) & (X0 @ X2)) => (X0 = X1)) & ! [X3 : (a > $o)] : ((cP @ X3) => ? [X4 : a] : (X3 @ X4))) => ? [X5 : (a > $o)] : (! [X6 : a] : ((X5 @ X6) <=> ? [X7 : (a > $o)] : ((X7 @ X6) & (cP @ X7))) & ! [X8 : (a > $o)] : ((cP @ X8) => ? [X9 : a] : (X8 @ X9)) & ! [X10 : (a > $o),X11 : (a > $o)] : ((? [X12 : a] : ((X10 @ X12) & (X11 @ X12)) & (cP @ X10) & (cP @ X11)) => (X10 = X11))))),
% 2.57/0.66 inference(rectify,[],[f2])).
% 2.57/0.66 thf(f4,plain,(
% 2.57/0.66 ~((! [X2 : a,X0 : (a > $o),X1 : (a > $o)] : (((((X0 @ X2)) = $true) & ($true = ((cP @ X1))) & (((cP @ X0)) = $true) & ($true = ((X1 @ X2)))) => (X0 = X1)) & ! [X3 : (a > $o)] : ((((cP @ X3)) = $true) => ? [X4 : a] : ($true = ((X3 @ X4))))) => ? [X5 : (a > $o)] : (! [X10 : (a > $o),X11 : (a > $o)] : (((((cP @ X10)) = $true) & ? [X12 : a] : (($true = ((X11 @ X12))) & ($true = ((X10 @ X12)))) & ($true = ((cP @ X11)))) => (X10 = X11)) & ! [X8 : (a > $o)] : ((((cP @ X8)) = $true) => ? [X9 : a] : ($true = ((X8 @ X9)))) & ! [X6 : a] : (($true = ((X5 @ X6))) <=> ? [X7 : (a > $o)] : (($true = ((X7 @ X6))) & (((cP @ X7)) = $true)))))),
% 2.57/0.66 inference(fool_elimination,[],[f3])).
% 2.57/0.66 thf(f5,plain,(
% 2.57/0.66 ! [X5 : (a > $o)] : (? [X10 : (a > $o),X11 : (a > $o)] : ((X10 != X11) & ((((cP @ X10)) = $true) & ? [X12 : a] : (($true = ((X11 @ X12))) & ($true = ((X10 @ X12)))) & ($true = ((cP @ X11))))) | ? [X8 : (a > $o)] : ((((cP @ X8)) = $true) & ! [X9 : a] : ($true != ((X8 @ X9)))) | ? [X6 : a] : (($true = ((X5 @ X6))) <~> ? [X7 : (a > $o)] : (($true = ((X7 @ X6))) & (((cP @ X7)) = $true)))) & (! [X2 : a,X0 : (a > $o),X1 : (a > $o)] : ((X0 = X1) | ((((X0 @ X2)) != $true) | ($true != ((cP @ X1))) | (((cP @ X0)) != $true) | ($true != ((X1 @ X2))))) & ! [X3 : (a > $o)] : ((((cP @ X3)) != $true) | ? [X4 : a] : ($true = ((X3 @ X4)))))),
% 2.57/0.66 inference(ennf_transformation,[],[f4])).
% 2.57/0.66 thf(f6,plain,(
% 2.57/0.66 ! [X2 : a,X0 : (a > $o),X1 : (a > $o)] : ((((cP @ X0)) != $true) | ($true != ((X1 @ X2))) | ($true != ((cP @ X1))) | (X0 = X1) | (((X0 @ X2)) != $true)) & ! [X5 : (a > $o)] : (? [X11 : (a > $o),X10 : (a > $o)] : (($true = ((cP @ X11))) & (X10 != X11) & ? [X12 : a] : (($true = ((X11 @ X12))) & ($true = ((X10 @ X12)))) & (((cP @ X10)) = $true)) | ? [X8 : (a > $o)] : ((((cP @ X8)) = $true) & ! [X9 : a] : ($true != ((X8 @ X9)))) | ? [X6 : a] : (($true = ((X5 @ X6))) <~> ? [X7 : (a > $o)] : (($true = ((X7 @ X6))) & (((cP @ X7)) = $true)))) & ! [X3 : (a > $o)] : ((((cP @ X3)) != $true) | ? [X4 : a] : ($true = ((X3 @ X4))))),
% 2.57/0.66 inference(flattening,[],[f5])).
% 2.57/0.66 thf(f7,definition,(
% 2.57/0.66 ! [X6 : a] : (($true = ((sP0 @ X6))) <=> ? [X7 : (a > $o)] : (($true = ((X7 @ X6))) & (((cP @ X7)) = $true)))),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 2.57/0.66 thf(f8,definition,(
% 2.57/0.66 ! [X11 : (a > $o),X10 : (a > $o)] : (? [X12 : a] : (($true = ((X11 @ X12))) & ($true = ((X10 @ X12)))) | ~ ($true = ((sP1 @ X10 @ X11))))),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 2.57/0.66 thf(f9,definition,(
% 2.57/0.66 ! [X5 : (a > $o)] : (? [X6 : a] : (($true = ((X5 @ X6))) <~> ($true = ((sP0 @ X6)))) | ~ ($true = ((sP2 @ X5))))),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 2.57/0.66 thf(f10,definition,(
% 2.57/0.66 ? [X11 : (a > $o),X10 : (a > $o)] : (($true = ((cP @ X11))) & (X10 != X11) & ($true = ((sP1 @ X10 @ X11))) & (((cP @ X10)) = $true)) | ~ ($true = sP3)),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 2.57/0.66 thf(f11,plain,(
% 2.57/0.66 ! [X2 : a,X0 : (a > $o),X1 : (a > $o)] : ((((cP @ X0)) != $true) | ($true != ((X1 @ X2))) | ($true != ((cP @ X1))) | (X0 = X1) | (((X0 @ X2)) != $true)) & ! [X5 : (a > $o)] : (($true = sP3) | ? [X8 : (a > $o)] : ((((cP @ X8)) = $true) & ! [X9 : a] : ($true != ((X8 @ X9)))) | ($true = ((sP2 @ X5)))) & ! [X3 : (a > $o)] : ((((cP @ X3)) != $true) | ? [X4 : a] : ($true = ((X3 @ X4))))),
% 2.57/0.66 inference(definition_folding,[],[f6,f10,f9,f8,f7])).
% 2.57/0.66 thf(f12,plain,(
% 2.57/0.66 ? [X11 : (a > $o),X10 : (a > $o)] : (($true = ((cP @ X11))) & (X10 != X11) & ($true = ((sP1 @ X10 @ X11))) & (((cP @ X10)) = $true)) | ($true != sP3)),
% 2.57/0.66 inference(nnf_transformation,[],[f10])).
% 2.57/0.66 thf(f13,plain,(
% 2.57/0.66 ? [X0 : (a > $o),X1 : (a > $o)] : ((((cP @ X0)) = $true) & (X0 != X1) & ($true = ((sP1 @ X1 @ X0))) & ($true = ((cP @ X1)))) | ($true != sP3)),
% 2.57/0.66 inference(rectify,[],[f12])).
% 2.57/0.66 thf(f14,plain,(
% 2.57/0.66 (($true = ((cP @ sK4))) & (sK5 != sK4) & ($true = ((sP1 @ sK5 @ sK4))) & ($true = ((cP @ sK5)))) | ($true != sP3)),
% 2.57/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f13])).
% 2.57/0.66 thf(f15,plain,(
% 2.57/0.66 ! [X5 : (a > $o)] : (? [X6 : a] : ((($true != ((sP0 @ X6))) | ($true != ((X5 @ X6)))) & (($true = ((sP0 @ X6))) | ($true = ((X5 @ X6))))) | ($true != ((sP2 @ X5))))),
% 2.57/0.66 inference(nnf_transformation,[],[f9])).
% 2.57/0.66 thf(f16,plain,(
% 2.57/0.66 ! [X0 : (a > $o)] : (? [X1 : a] : ((($true != ((sP0 @ X1))) | (((X0 @ X1)) != $true)) & (($true = ((sP0 @ X1))) | (((X0 @ X1)) = $true))) | ($true != ((sP2 @ X0))))),
% 2.57/0.66 inference(rectify,[],[f15])).
% 2.57/0.66 thf(f17,plain,(
% 2.57/0.66 ! [X0 : (a > $o)] : (((($true != ((sP0 @ (sK6 @ X0)))) | ($true != ((X0 @ (sK6 @ X0))))) & (($true = ((sP0 @ (sK6 @ X0)))) | ($true = ((X0 @ (sK6 @ X0)))))) | ($true != ((sP2 @ X0))))),
% 2.57/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK6 @ X0)],[f16])).
% 2.57/0.66 thf(f18,plain,(
% 2.57/0.66 ! [X11 : (a > $o),X10 : (a > $o)] : (? [X12 : a] : (($true = ((X11 @ X12))) & ($true = ((X10 @ X12)))) | ($true != ((sP1 @ X10 @ X11))))),
% 2.57/0.66 inference(nnf_transformation,[],[f8])).
% 2.57/0.66 thf(f19,plain,(
% 2.57/0.66 ! [X0 : (a > $o),X1 : (a > $o)] : (? [X2 : a] : ((((X0 @ X2)) = $true) & ($true = ((X1 @ X2)))) | ($true != ((sP1 @ X1 @ X0))))),
% 2.57/0.66 inference(rectify,[],[f18])).
% 2.57/0.66 thf(f20,plain,(
% 2.57/0.66 ! [X0 : (a > $o),X1 : (a > $o)] : ((($true = ((X0 @ (sK7 @ X1 @ X0)))) & ($true = ((X1 @ (sK7 @ X1 @ X0))))) | ($true != ((sP1 @ X1 @ X0))))),
% 2.57/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK6 @ X0)],[f19])).
% 2.57/0.66 thf(f24,plain,(
% 2.57/0.66 ! [X0 : a,X1 : (a > $o),X2 : (a > $o)] : (($true != ((cP @ X1))) | ($true != ((X2 @ X0))) | ($true != ((cP @ X2))) | (X1 = X2) | ($true != ((X1 @ X0)))) & ! [X3 : (a > $o)] : (($true = sP3) | ? [X4 : (a > $o)] : (($true = ((cP @ X4))) & ! [X5 : a] : ($true != ((X4 @ X5)))) | ($true = ((sP2 @ X3)))) & ! [X6 : (a > $o)] : ((((cP @ X6)) != $true) | ? [X7 : a] : ($true = ((X6 @ X7))))),
% 2.57/0.66 inference(rectify,[],[f11])).
% 2.57/0.66 thf(f25,plain,(
% 2.57/0.66 ! [X0 : a,X1 : (a > $o),X2 : (a > $o)] : (($true != ((cP @ X1))) | ($true != ((X2 @ X0))) | ($true != ((cP @ X2))) | (X1 = X2) | ($true != ((X1 @ X0)))) & ! [X3 : (a > $o)] : (($true = sP3) | (($true = ((cP @ sK9))) & ! [X5 : a] : ($true != ((sK9 @ X5)))) | ($true = ((sP2 @ X3)))) & ! [X6 : (a > $o)] : ((((cP @ X6)) != $true) | ($true = ((X6 @ (sK10 @ X6)))))),
% 2.57/0.66 inference(skolemize,[status(esa),new_symbols(skolem,[sK9,vAPP]),skolemize(X4,sK9),skolemize(X1,sK6 @ X0)],[f24])).
% 2.57/0.66 thf(f26,plain,(
% 2.57/0.66 ($true = ((cP @ sK5))) | ($true != sP3)),
% 2.57/0.66 inference(cnf_transformation,[],[f14])).
% 2.57/0.66 thf(f27,plain,(
% 2.57/0.66 ($true = ((sP1 @ sK5 @ sK4))) | ($true != sP3)),
% 2.57/0.66 inference(cnf_transformation,[],[f14])).
% 2.57/0.66 thf(f28,plain,(
% 2.57/0.66 (sK5 != sK4) | ($true != sP3)),
% 2.57/0.66 inference(cnf_transformation,[],[f14])).
% 2.57/0.66 thf(f29,plain,(
% 2.57/0.66 ($true != sP3) | ($true = ((cP @ sK4)))),
% 2.57/0.66 inference(cnf_transformation,[],[f14])).
% 2.57/0.66 thf(f30,plain,(
% 2.57/0.66 ( ! [X0 : (a > $o)] : (($true != ((sP2 @ X0))) | ($true = ((sP0 @ (sK6 @ X0)))) | ($true = ((X0 @ (sK6 @ X0))))) )),
% 2.57/0.66 inference(cnf_transformation,[],[f17])).
% 2.57/0.66 thf(f31,plain,(
% 2.57/0.66 ( ! [X0 : (a > $o)] : (($true != ((sP0 @ (sK6 @ X0)))) | ($true != ((sP2 @ X0))) | ($true != ((X0 @ (sK6 @ X0))))) )),
% 2.57/0.66 inference(cnf_transformation,[],[f17])).
% 2.57/0.66 thf(f32,plain,(
% 2.57/0.66 ( ! [X0 : (a > $o),X1 : (a > $o)] : (($true != ((sP1 @ X1 @ X0))) | ($true = ((X1 @ (sK7 @ X1 @ X0))))) )),
% 2.57/0.66 inference(cnf_transformation,[],[f20])).
% 2.57/0.66 thf(f33,plain,(
% 2.57/0.66 ( ! [X0 : (a > $o),X1 : (a > $o)] : (($true != ((sP1 @ X1 @ X0))) | ($true = ((X0 @ (sK7 @ X1 @ X0))))) )),
% 2.57/0.66 inference(cnf_transformation,[],[f20])).
% 2.57/0.66 thf(f37,plain,(
% 2.57/0.66 ( ! [X6 : (a > $o)] : ((((cP @ X6)) != $true) | ($true = ((X6 @ (sK10 @ X6))))) )),
% 2.57/0.66 inference(cnf_transformation,[],[f25])).
% 2.57/0.66 thf(f38,plain,(
% 2.57/0.66 ( ! [X3 : (a > $o),X5 : a] : (($true != ((sK9 @ X5))) | ($true = ((sP2 @ X3))) | ($true = sP3)) )),
% 2.57/0.66 inference(cnf_transformation,[],[f25])).
% 2.57/0.66 thf(f39,plain,(
% 2.57/0.66 ( ! [X3 : (a > $o)] : (($true = ((cP @ sK9))) | ($true = ((sP2 @ X3))) | ($true = sP3)) )),
% 2.57/0.66 inference(cnf_transformation,[],[f25])).
% 2.57/0.66 thf(f40,plain,(
% 2.57/0.66 ( ! [X2 : (a > $o),X0 : a,X1 : (a > $o)] : (($true != ((cP @ X2))) | ($true != ((X1 @ X0))) | (X1 = X2) | ($true != ((cP @ X1))) | ($true != ((X2 @ X0)))) )),
% 2.57/0.66 inference(cnf_transformation,[],[f25])).
% 2.57/0.66 thf(f44,definition,(
% 2.57/0.66 spl11_1 <=> (sK5 = sK4)),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition])).
% 2.57/0.66 thf(f46,plain,(
% 2.57/0.66 (sK5 != sK4) | spl11_1),
% 2.57/0.66 inference(avatar_component_clause,[],[f44])).
% 2.57/0.66 thf(f48,definition,(
% 2.57/0.66 spl11_2 <=> ($true = sP3)),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition])).
% 2.57/0.66 thf(f51,plain,(
% 2.57/0.66 ~spl11_1 | ~spl11_2),
% 2.57/0.66 inference(avatar_split_clause,[],[f28,f48,f44])).
% 2.57/0.66 thf(f53,definition,(
% 2.57/0.66 spl11_3 <=> ! [X3 : (a > $o)] : ($true = ((sP2 @ X3)))),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition])).
% 2.57/0.66 thf(f54,plain,(
% 2.57/0.66 ( ! [X3 : (a > $o)] : (($true = ((sP2 @ X3)))) ) | ~spl11_3),
% 2.57/0.66 inference(avatar_component_clause,[],[f53])).
% 2.57/0.66 thf(f56,definition,(
% 2.57/0.66 spl11_4 <=> ! [X5 : a] : ($true != ((sK9 @ X5)))),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition])).
% 2.57/0.66 thf(f57,plain,(
% 2.57/0.66 ( ! [X5 : a] : (($true != ((sK9 @ X5)))) ) | ~spl11_4),
% 2.57/0.66 inference(avatar_component_clause,[],[f56])).
% 2.57/0.66 thf(f58,plain,(
% 2.57/0.66 spl11_3 | spl11_2 | spl11_4),
% 2.57/0.66 inference(avatar_split_clause,[],[f38,f56,f48,f53])).
% 2.57/0.66 thf(f60,definition,(
% 2.57/0.66 spl11_5 <=> ($true = ((cP @ sK9)))),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition])).
% 2.57/0.66 thf(f62,plain,(
% 2.57/0.66 ($true = ((cP @ sK9))) | ~spl11_5),
% 2.57/0.66 inference(avatar_component_clause,[],[f60])).
% 2.57/0.66 thf(f63,plain,(
% 2.57/0.66 spl11_5 | spl11_3 | spl11_2),
% 2.57/0.66 inference(avatar_split_clause,[],[f39,f48,f53,f60])).
% 2.57/0.66 thf(f65,definition,(
% 2.57/0.66 spl11_6 <=> ($true = ((sP1 @ sK5 @ sK4)))),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition])).
% 2.57/0.66 thf(f67,plain,(
% 2.57/0.66 ($true = ((sP1 @ sK5 @ sK4))) | ~spl11_6),
% 2.57/0.66 inference(avatar_component_clause,[],[f65])).
% 2.57/0.66 thf(f68,plain,(
% 2.57/0.66 ~spl11_2 | spl11_6),
% 2.57/0.66 inference(avatar_split_clause,[],[f27,f65,f48])).
% 2.57/0.66 thf(f70,definition,(
% 2.57/0.66 spl11_7 <=> ($true = ((cP @ sK5)))),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition])).
% 2.57/0.66 thf(f72,plain,(
% 2.57/0.66 ($true = ((cP @ sK5))) | ~spl11_7),
% 2.57/0.66 inference(avatar_component_clause,[],[f70])).
% 2.57/0.66 thf(f73,plain,(
% 2.57/0.66 spl11_7 | ~spl11_2),
% 2.57/0.66 inference(avatar_split_clause,[],[f26,f48,f70])).
% 2.57/0.66 thf(f75,definition,(
% 2.57/0.66 spl11_8 <=> ($true = ((cP @ sK4)))),
% 2.57/0.66 introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition])).
% 2.57/0.66 thf(f77,plain,(
% 2.57/0.66 ($true = ((cP @ sK4))) | ~spl11_8),
% 2.57/0.66 inference(avatar_component_clause,[],[f75])).
% 2.57/0.66 thf(f78,plain,(
% 2.57/0.66 spl11_8 | ~spl11_2),
% 2.57/0.66 inference(avatar_split_clause,[],[f29,f48,f75])).
% 2.57/0.66 thf(f181,plain,(
% 2.57/0.66 ( ! [X0 : (a > $o)] : (($true = ((sP0 @ (sK6 @ X0)))) | ($true = ((X0 @ (sK6 @ X0)))) | ($true != $true)) ) | ~spl11_3),
% 2.57/0.66 inference(constrained_superposition,[],[f30,f54])).
% 2.57/0.66 thf(f183,plain,(
% 2.57/0.66 ( ! [X0 : (a > $o)] : (($true = ((sP0 @ (sK6 @ X0)))) | ($true = ((X0 @ (sK6 @ X0))))) ) | ~spl11_3),
% 2.57/0.66 inference(trivial_inequality_removal,[],[f181])).
% 2.57/0.66 thf(f208,plain,(
% 2.57/0.66 ($true != $true) | ($true = ((sP0 @ (sK6 @ sP0)))) | ~spl11_3),
% 2.57/0.66 inference(equality_factoring,[],[f183])).
% 2.57/0.66 thf(f212,plain,(
% 2.57/0.66 ($true = ((sP0 @ (sK6 @ sP0)))) | ~spl11_3),
% 2.57/0.66 inference(trivial_inequality_removal,[],[f208])).
% 2.57/0.66 thf(f236,plain,(
% 2.57/0.66 ($true != $true) | ($true != $true) | ($true != ((sP2 @ sP0))) | ~spl11_3),
% 2.57/0.66 inference(constrained_superposition,[],[f31,f212])).
% 2.57/0.66 thf(f243,plain,(
% 2.57/0.66 ($true != $true) | ($true != ((sP2 @ sP0))) | ~spl11_3),
% 2.57/0.66 inference(duplicate_literal_removal,[],[f236])).
% 2.57/0.66 thf(f244,plain,(
% 2.57/0.66 ($true != ((sP2 @ sP0))) | ~spl11_3),
% 2.57/0.66 inference(trivial_inequality_removal,[],[f243])).
% 2.57/0.66 thf(f245,plain,(
% 2.57/0.66 $false | ~spl11_3),
% 2.57/0.66 inference(forward_subsumption_resolution,[],[f244,f54])).
% 2.57/0.66 thf(f246,plain,(
% 2.57/0.66 ~spl11_3),
% 2.57/0.66 inference(avatar_contradiction_clause,[],[f245])).
% 2.57/0.66 thf(f267,plain,(
% 2.57/0.66 ($true = ((sK9 @ (sK10 @ sK9)))) | ($true != $true) | ~spl11_5),
% 2.57/0.66 inference(constrained_superposition,[],[f37,f62])).
% 2.57/0.66 thf(f274,plain,(
% 2.57/0.66 ($true = ((sK9 @ (sK10 @ sK9)))) | ~spl11_5),
% 2.57/0.66 inference(trivial_inequality_removal,[],[f267])).
% 2.57/0.66 thf(f276,plain,(
% 2.57/0.66 $false | (~spl11_4 | ~spl11_5)),
% 2.57/0.66 inference(forward_subsumption_resolution,[],[f274,f57])).
% 2.57/0.66 thf(f277,plain,(
% 2.57/0.66 ~spl11_4 | ~spl11_5),
% 2.57/0.66 inference(avatar_contradiction_clause,[],[f276])).
% 2.57/0.66 thf(f327,plain,(
% 2.57/0.66 ( ! [X0 : (a > $o),X1 : a] : (($true != ((sK5 @ X1))) | (((X0 @ X1)) != $true) | ($true != $true) | (sK5 = X0) | (((cP @ X0)) != $true)) ) | ~spl11_7),
% 2.57/0.66 inference(constrained_superposition,[],[f40,f72])).
% 2.57/0.66 thf(f334,plain,(
% 2.57/0.66 ( ! [X0 : (a > $o),X1 : a] : ((((cP @ X0)) != $true) | (sK5 = X0) | ($true != ((sK5 @ X1))) | (((X0 @ X1)) != $true)) ) | ~spl11_7),
% 2.57/0.66 inference(trivial_inequality_removal,[],[f327])).
% 2.57/0.66 thf(f435,plain,(
% 2.57/0.66 ( ! [X0 : a] : (($true != ((sK5 @ X0))) | (sK5 = sK4) | ($true != $true) | ($true != ((sK4 @ X0)))) ) | (~spl11_7 | ~spl11_8)),
% 2.57/0.66 inference(constrained_superposition,[],[f334,f77])).
% 2.57/0.66 thf(f439,plain,(
% 2.57/0.66 ( ! [X0 : a] : ((sK5 = sK4) | ($true != ((sK5 @ X0))) | ($true != ((sK4 @ X0)))) ) | (~spl11_7 | ~spl11_8)),
% 2.57/0.66 inference(trivial_inequality_removal,[],[f435])).
% 2.57/0.66 thf(f445,plain,(
% 2.57/0.66 ( ! [X0 : a] : (($true != ((sK5 @ X0))) | ($true != ((sK4 @ X0)))) ) | (spl11_1 | ~spl11_7 | ~spl11_8)),
% 2.57/0.66 inference(forward_subsumption_resolution,[],[f439,f46])).
% 2.57/0.66 thf(f446,plain,(
% 2.57/0.66 ($true != $true) | ($true = ((sK4 @ (sK7 @ sK5 @ sK4)))) | ~spl11_6),
% 2.57/0.66 inference(constrained_superposition,[],[f33,f67])).
% 2.57/0.66 thf(f447,plain,(
% 2.57/0.66 ($true != $true) | ($true = ((sK5 @ (sK7 @ sK5 @ sK4)))) | ~spl11_6),
% 2.57/0.66 inference(constrained_superposition,[],[f32,f67])).
% 2.57/0.66 thf(f448,plain,(
% 2.57/0.66 ($true = ((sK4 @ (sK7 @ sK5 @ sK4)))) | ~spl11_6),
% 2.57/0.66 inference(trivial_inequality_removal,[],[f446])).
% 2.57/0.66 thf(f449,plain,(
% 2.57/0.66 ($true = ((sK5 @ (sK7 @ sK5 @ sK4)))) | ~spl11_6),
% 2.57/0.66 inference(trivial_inequality_removal,[],[f447])).
% 2.57/0.66 thf(f565,plain,(
% 2.57/0.66 ($true != ((sK4 @ (sK7 @ sK5 @ sK4)))) | ($true != $true) | (spl11_1 | ~spl11_6 | ~spl11_7 | ~spl11_8)),
% 2.57/0.66 inference(constrained_superposition,[],[f445,f449])).
% 2.57/0.66 thf(f572,plain,(
% 2.57/0.66 ($true != ((sK4 @ (sK7 @ sK5 @ sK4)))) | (spl11_1 | ~spl11_6 | ~spl11_7 | ~spl11_8)),
% 2.57/0.66 inference(trivial_inequality_removal,[],[f565])).
% 2.57/0.66 thf(f575,plain,(
% 2.57/0.66 $false | (spl11_1 | ~spl11_6 | ~spl11_7 | ~spl11_8)),
% 2.57/0.66 inference(forward_subsumption_resolution,[],[f572,f448])).
% 2.57/0.66 thf(f576,plain,(
% 2.57/0.66 spl11_1 | ~spl11_6 | ~spl11_7 | ~spl11_8),
% 2.57/0.66 inference(avatar_contradiction_clause,[],[f575])).
% 2.57/0.66 cnf(s1, plain, ~spl11_1 | ~spl11_2, inference(sat_conversion,[],[f51])).
% 2.57/0.66 cnf(s2, plain, spl11_2 | spl11_3 | spl11_4, inference(sat_conversion,[],[f58])).
% 2.57/0.66 cnf(s3, plain, spl11_2 | spl11_3 | spl11_5, inference(sat_conversion,[],[f63])).
% 2.57/0.66 cnf(s4, plain, ~spl11_2 | spl11_6, inference(sat_conversion,[],[f68])).
% 2.57/0.66 cnf(s5, plain, ~spl11_2 | spl11_7, inference(sat_conversion,[],[f73])).
% 2.57/0.66 cnf(s6, plain, ~spl11_2 | spl11_8, inference(sat_conversion,[],[f78])).
% 2.57/0.66 cnf(s11, plain, ~spl11_3, inference(sat_conversion,[],[f246])).
% 2.57/0.66 cnf(s12, plain, ~spl11_4 | ~spl11_5, inference(sat_conversion,[],[f277])).
% 2.57/0.66 cnf(s18, plain, spl11_1 | ~spl11_6 | ~spl11_7 | ~spl11_8, inference(sat_conversion,[],[f576])).
% 2.57/0.66 cnf(s19, plain, spl11_2 | spl11_5, inference(rat,[],[s3,s11])).
% 2.57/0.66 cnf(s20, plain, spl11_2 | spl11_4, inference(rat,[],[s2,s11])).
% 2.57/0.66 cnf(s21, plain, spl11_2, inference(rat,[],[s12,s20,s19])).
% 2.57/0.66 cnf(s22, plain, spl11_8, inference(rat,[],[s6,s21])).
% 2.57/0.66 cnf(s23, plain, spl11_7, inference(rat,[],[s5,s21])).
% 2.57/0.66 cnf(s24, plain, spl11_6, inference(rat,[],[s4,s21])).
% 2.57/0.66 cnf(s25, plain, spl11_1, inference(rat,[],[s18,s22,s24,s23])).
% 2.57/0.66 cnf(s26, plain, $false, inference(rat,[],[s1,s21,s25])).
% 2.57/0.66 thf(f577,plain,(
% 2.57/0.66 $false),
% 2.57/0.66 inference(avatar_sat_refutation,[],[s26])).
% 2.57/0.66 % SZS output end Proof for theBenchmark
% 2.57/0.66 % (449980)------------------------------
% 2.57/0.66 % (449980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.66 % (449980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.66 % (449980)CaDiCaL version: 2.1.3
% 2.57/0.66 % (449980)Termination reason: Refutation
% 2.57/0.66 % (449980)Time elapsed: 0.019 s
% 2.57/0.66 % (449980)Peak memory usage: 13 MB
% 2.57/0.66 % (449980)Instructions burned: 29 (million)
% 2.57/0.66 % (449881)Success in time 0.423 s
% 2.57/0.66 % Vampire exiting
%------------------------------------------------------------------------------