%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN025^1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 08:19:53 AM UTC 2026
% Result : Theorem 0.86s 0.45s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN025^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n014.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 13:05:45 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.32 % (2618854)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.32 % (2618864)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=476306372:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.32 % (2618865)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.32 % (2618865)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
% 0.22/0.32 % (2618859)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3469029831:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.32 % (2618860)lrs+10_16_si=on:nwc=1.5:random_seed=937839330:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.32 % (2618861)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=468188820:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.32 % (2618862)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=2810572159: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)
% 0.22/0.32 % (2618863)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2940944538:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.32 % (2618865)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=929394189:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.32 % (2618861)Refutation not found, incomplete strategy
% 0.22/0.32 % (2618861)------------------------------
% 0.22/0.32 % (2618861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (2618859)Refutation not found, incomplete strategy
% 0.22/0.32 % (2618859)------------------------------
% 0.22/0.32 % (2618859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (2618861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (2618859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (2618859)CaDiCaL version: 2.1.3
% 0.22/0.32 % (2618861)CaDiCaL version: 2.1.3
% 0.22/0.32 % (2618859)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.32 % (2618859)Time elapsed: 0.002 s
% 0.22/0.32 % (2618861)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.32 % (2618861)Time elapsed: 0.002 s
% 0.22/0.32 % (2618861)Peak memory usage: 12 MB
% 0.22/0.32 % (2618859)Peak memory usage: 12 MB
% 0.22/0.32 % (2618861)Instructions burned: 2 (million)
% 0.22/0.32 % (2618859)Instructions burned: 2 (million)
% 0.22/0.32 % (2618863)Refutation not found, incomplete strategy
% 0.22/0.32 % (2618863)------------------------------
% 0.22/0.32 % (2618863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (2618863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (2618863)CaDiCaL version: 2.1.3
% 0.22/0.32 % (2618863)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.32 % (2618863)Time elapsed: 0.002 s
% 0.22/0.32 % (2618863)Peak memory usage: 12 MB
% 0.22/0.32 % (2618863)Instructions burned: 3 (million)
% 0.22/0.32 % (2618862)Refutation not found, incomplete strategy
% 0.22/0.32 % (2618862)------------------------------
% 0.22/0.32 % (2618862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (2618862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (2618862)CaDiCaL version: 2.1.3
% 0.22/0.32 % (2618862)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.32 % (2618862)Time elapsed: 0.003 s
% 0.22/0.32 % (2618862)Peak memory usage: 12 MB
% 0.22/0.32 % (2618862)Instructions burned: 3 (million)
% 0.22/0.32 % (2618861)------------------------------
% 0.22/0.32 % (2618861)------------------------------
% 0.22/0.32 % (2618859)------------------------------
% 0.22/0.32 % (2618859)------------------------------
% 0.22/0.32 % (2618863)------------------------------
% 0.22/0.32 % (2618863)------------------------------
% 0.22/0.32 % (2618862)------------------------------
% 0.22/0.32 % (2618862)------------------------------
% 0.22/0.34 % (2618865)Refutation not found, incomplete strategy
% 0.22/0.34 % (2618865)------------------------------
% 0.22/0.34 % (2618865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (2618865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (2618865)CaDiCaL version: 2.1.3
% 0.22/0.34 % (2618865)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.34 % (2618865)Time elapsed: 0.005 s
% 0.22/0.34 % (2618865)Peak memory usage: 12 MB
% 0.22/0.34 % (2618865)Instructions burned: 7 (million)
% 0.22/0.34 % (2618865)------------------------------
% 0.22/0.34 % (2618865)------------------------------
% 0.22/0.34 % (2618860)Refutation not found, incomplete strategy
% 0.22/0.34 % (2618860)------------------------------
% 0.22/0.34 % (2618860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (2618860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (2618860)CaDiCaL version: 2.1.3
% 0.22/0.34 % (2618860)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.34 % (2618860)Time elapsed: 0.010 s
% 0.22/0.34 % (2618860)Peak memory usage: 12 MB
% 0.22/0.34 % (2618860)Instructions burned: 16 (million)
% 0.22/0.34 % (2618860)------------------------------
% 0.22/0.34 % (2618860)------------------------------
% 0.22/0.34 % (2618864)Instruction limit reached!
% 0.22/0.34 % (2618864)------------------------------
% 0.22/0.34 % (2618864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (2618864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (2618864)CaDiCaL version: 2.1.3
% 0.22/0.34 % (2618864)Termination reason: Instruction limit
% 0.22/0.34 % (2618864)Termination phase: Saturation
% 0.22/0.34 % (2618864)Time elapsed: 0.022 s
% 0.22/0.34 % (2618864)Peak memory usage: 12 MB
% 0.22/0.34 % (2618864)Instructions burned: 78 (million)
% 0.22/0.34 % (2618875)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.34 % (2618877)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
% 0.22/0.34 % (2618877)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.34 % (2618873)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=371660341:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.34 % (2618874)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4291171836:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.34 % (2618875)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=456192474:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.34 % (2618876)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3798136729:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/0.34 % (2618873)Instruction limit reached!
% 0.22/0.34 % (2618873)------------------------------
% 0.22/0.34 % (2618873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (2618873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (2618873)CaDiCaL version: 2.1.3
% 0.22/0.34 % (2618873)Termination reason: Instruction limit
% 0.22/0.34 % (2618873)Termination phase: Saturation
% 0.22/0.34 % (2618873)Time elapsed: 0.002 s
% 0.22/0.34 % (2618873)Peak memory usage: 12 MB
% 0.22/0.34 % (2618873)Instructions burned: 2 (million)
% 0.22/0.34 % (2618879)lrs+10_1_si=on:cs=on:random_seed=336129677:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.22/0.34 % (2618877)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3884423566:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.22/0.34 % (2618874)Instruction limit reached!
% 0.22/0.34 % (2618874)------------------------------
% 0.22/0.34 % (2618874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (2618874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (2618874)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2618874)Termination reason: Instruction limit
% 0.22/0.36 % (2618874)Termination phase: Saturation
% 0.22/0.36 % (2618874)Time elapsed: 0.004 s
% 0.22/0.36 % (2618874)Peak memory usage: 11 MB
% 0.22/0.36 % (2618874)Instructions burned: 6 (million)
% 0.22/0.36 % (2618875)Instruction limit reached!
% 0.22/0.36 % (2618875)------------------------------
% 0.22/0.36 % (2618875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2618875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2618875)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2618875)Termination reason: Instruction limit
% 0.22/0.36 % (2618875)Termination phase: Saturation
% 0.22/0.36 % (2618875)Time elapsed: 0.004 s
% 0.22/0.36 % (2618875)Peak memory usage: 12 MB
% 0.22/0.36 % (2618875)Instructions burned: 7 (million)
% 0.22/0.36 % (2618879)Instruction limit reached!
% 0.22/0.36 % (2618879)------------------------------
% 0.22/0.36 % (2618879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2618879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2618879)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2618879)Termination reason: Instruction limit
% 0.22/0.36 % (2618879)Termination phase: Saturation
% 0.22/0.36 % (2618879)Time elapsed: 0.003 s
% 0.22/0.36 % (2618879)Peak memory usage: 12 MB
% 0.22/0.36 % (2618879)Instructions burned: 10 (million)
% 0.22/0.36 % (2618878)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=2498567047:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.22/0.36 % (2618876)Instruction limit reached!
% 0.22/0.36 % (2618876)------------------------------
% 0.22/0.36 % (2618876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2618876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2618876)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2618876)Termination reason: Instruction limit
% 0.22/0.36 % (2618876)Termination phase: Saturation
% 0.22/0.36 % (2618876)Time elapsed: 0.008 s
% 0.22/0.36 % (2618876)Peak memory usage: 12 MB
% 0.22/0.36 % (2618876)Instructions burned: 13 (million)
% 0.22/0.36 % (2618889)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1768670615:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.22/0.36 % (2618886)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.22/0.36 % (2618877)Instruction limit reached!
% 0.22/0.36 % (2618877)------------------------------
% 0.22/0.36 % (2618877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2618877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2618877)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2618877)Termination reason: Instruction limit
% 0.22/0.36 % (2618877)Termination phase: Saturation
% 0.22/0.36 % (2618877)Time elapsed: 0.014 s
% 0.22/0.36 % (2618877)Peak memory usage: 12 MB
% 0.22/0.36 % (2618877)Instructions burned: 28 (million)
% 0.22/0.36 % (2618889)Refutation not found, incomplete strategy
% 0.22/0.36 % (2618889)------------------------------
% 0.22/0.36 % (2618889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2618889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2618889)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2618889)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.36 % (2618889)Time elapsed: 0.001 s
% 0.22/0.36 % (2618889)Peak memory usage: 12 MB
% 0.22/0.36 % (2618889)Instructions burned: 2 (million)
% 0.22/0.36 % (2618889)------------------------------
% 0.22/0.36 % (2618889)------------------------------
% 0.22/0.36 % (2618886)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=2079406485:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.36 % (2618886)Instruction limit reached!
% 0.22/0.36 % (2618886)------------------------------
% 0.22/0.36 % (2618886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2618886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2618886)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2618886)Termination reason: Instruction limit
% 0.22/0.36 % (2618886)Termination phase: Saturation
% 0.22/0.36 % (2618886)Time elapsed: 0.002 s
% 0.86/0.38 % (2618886)Peak memory usage: 12 MB
% 0.86/0.38 % (2618886)Instructions burned: 3 (million)
% 0.86/0.38 % (2618887)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=806317441:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.86/0.38 % (2618888)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2951744235:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.86/0.38 % (2618887)Refutation not found, incomplete strategy
% 0.86/0.38 % (2618887)------------------------------
% 0.86/0.38 % (2618887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (2618887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (2618887)CaDiCaL version: 2.1.3
% 0.86/0.38 % (2618887)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (2618887)Time elapsed: 0.002 s
% 0.86/0.38 % (2618887)Peak memory usage: 12 MB
% 0.86/0.38 % (2618887)Instructions burned: 2 (million)
% 0.86/0.38 % (2618887)------------------------------
% 0.86/0.38 % (2618887)------------------------------
% 0.86/0.38 % (2618888)Refutation not found, incomplete strategy
% 0.86/0.38 % (2618888)------------------------------
% 0.86/0.38 % (2618888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (2618888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (2618888)CaDiCaL version: 2.1.3
% 0.86/0.38 % (2618888)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (2618888)Time elapsed: 0.003 s
% 0.86/0.38 % (2618888)Peak memory usage: 12 MB
% 0.86/0.38 % (2618888)Instructions burned: 4 (million)
% 0.86/0.38 % (2618894)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3870980612:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.38 % (2618891)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3505972782:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.38 % (2618888)------------------------------
% 0.86/0.38 % (2618888)------------------------------
% 0.86/0.38 % (2618891)Refutation not found, incomplete strategy
% 0.86/0.38 % (2618891)------------------------------
% 0.86/0.38 % (2618891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (2618891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (2618891)CaDiCaL version: 2.1.3
% 0.86/0.38 % (2618891)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (2618891)Time elapsed: 0.003 s
% 0.86/0.38 % (2618891)Peak memory usage: 12 MB
% 0.86/0.38 % (2618891)Instructions burned: 3 (million)
% 0.86/0.38 % (2618891)------------------------------
% 0.86/0.38 % (2618891)------------------------------
% 0.86/0.38 % (2618894)Instruction limit reached!
% 0.86/0.38 % (2618894)------------------------------
% 0.86/0.38 % (2618894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (2618894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (2618894)CaDiCaL version: 2.1.3
% 0.86/0.38 % (2618894)Termination reason: Instruction limit
% 0.86/0.38 % (2618894)Termination phase: Saturation
% 0.86/0.38 % (2618894)Time elapsed: 0.005 s
% 0.86/0.38 % (2618894)Peak memory usage: 12 MB
% 0.86/0.38 % (2618894)Instructions burned: 17 (million)
% 0.86/0.38 % (2618893)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=748109570:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.86/0.38 % (2618893)Refutation not found, incomplete strategy
% 0.86/0.38 % (2618893)------------------------------
% 0.86/0.38 % (2618893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (2618893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (2618893)CaDiCaL version: 2.1.3
% 0.86/0.38 % (2618893)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (2618893)Time elapsed: 0.004 s
% 0.86/0.38 % (2618893)Peak memory usage: 12 MB
% 0.86/0.38 % (2618893)Instructions burned: 5 (million)
% 0.86/0.38 % (2618893)------------------------------
% 0.86/0.38 % (2618893)------------------------------
% 0.86/0.38 % (2618897)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=550033911:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.40 % (2618903)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2166350094:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.86/0.40 % (2618897)Refutation not found, incomplete strategy
% 0.86/0.40 % (2618897)------------------------------
% 0.86/0.40 % (2618897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.40 % (2618897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.40 % (2618897)CaDiCaL version: 2.1.3
% 0.86/0.40 % (2618897)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.40 % (2618897)Time elapsed: 0.002 s
% 0.86/0.40 % (2618897)Peak memory usage: 12 MB
% 0.86/0.40 % (2618897)Instructions burned: 2 (million)
% 0.86/0.40 % (2618899)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=384488738:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.86/0.40 % (2618903)Refutation not found, incomplete strategy
% 0.86/0.40 % (2618903)------------------------------
% 0.86/0.40 % (2618903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.40 % (2618903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.40 % (2618903)CaDiCaL version: 2.1.3
% 0.86/0.40 % (2618903)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.40 % (2618903)Time elapsed: 0.001 s
% 0.86/0.40 % (2618903)Peak memory usage: 12 MB
% 0.86/0.40 % (2618903)Instructions burned: 2 (million)
% 0.86/0.40 % (2618897)------------------------------
% 0.86/0.40 % (2618897)------------------------------
% 0.86/0.40 % (2618903)------------------------------
% 0.86/0.40 % (2618903)------------------------------
% 0.86/0.40 % (2618902)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3420439068:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.86/0.40 % (2618904)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
% 0.86/0.40 % (2618899)Refutation not found, incomplete strategy
% 0.86/0.40 % (2618899)------------------------------
% 0.86/0.40 % (2618899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.40 % (2618899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.40 % (2618899)CaDiCaL version: 2.1.3
% 0.86/0.40 % (2618904)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.86/0.40 % (2618899)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.40 % (2618899)Time elapsed: 0.004 s
% 0.86/0.40 % (2618899)Peak memory usage: 12 MB
% 0.86/0.40 % (2618899)Instructions burned: 6 (million)
% 0.86/0.40 % (2618899)------------------------------
% 0.86/0.40 % (2618899)------------------------------
% 0.86/0.40 % (2618904)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=3309475627:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.40 % (2618878)Instruction limit reached!
% 0.86/0.40 % (2618878)------------------------------
% 0.86/0.40 % (2618878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.40 % (2618878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.40 % (2618878)CaDiCaL version: 2.1.3
% 0.86/0.40 % (2618878)Termination reason: Instruction limit
% 0.86/0.40 % (2618878)Termination phase: Saturation
% 0.86/0.40 % (2618878)Time elapsed: 0.047 s
% 0.86/0.40 % (2618878)Peak memory usage: 12 MB
% 0.86/0.40 % (2618878)Instructions burned: 86 (million)
% 0.86/0.40 % (2618906)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.86/0.40 % (2618910)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=3639095300:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.86/0.40 % (2618906)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=1108797036:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.86/0.40 % (2618902)Instruction limit reached!
% 0.86/0.43 % (2618902)------------------------------
% 0.86/0.43 % (2618902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.43 % (2618902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.43 % (2618902)CaDiCaL version: 2.1.3
% 0.86/0.43 % (2618902)Termination reason: Instruction limit
% 0.86/0.43 % (2618902)Termination phase: Saturation
% 0.86/0.43 % (2618902)Time elapsed: 0.013 s
% 0.86/0.43 % (2618902)Peak memory usage: 11 MB
% 0.86/0.43 % (2618902)Instructions burned: 24 (million)
% 0.86/0.43 % (2618904)Instruction limit reached!
% 0.86/0.43 % (2618904)------------------------------
% 0.86/0.43 % (2618904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.43 % (2618904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.43 % (2618904)CaDiCaL version: 2.1.3
% 0.86/0.43 % (2618904)Termination reason: Instruction limit
% 0.86/0.43 % (2618904)Termination phase: Saturation
% 0.86/0.43 % (2618904)Time elapsed: 0.010 s
% 0.86/0.43 % (2618904)Peak memory usage: 12 MB
% 0.86/0.43 % (2618904)Instructions burned: 14 (million)
% 0.86/0.43 % (2618906)Refutation not found, incomplete strategy
% 0.86/0.43 % (2618906)------------------------------
% 0.86/0.43 % (2618906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.43 % (2618906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.43 % (2618906)CaDiCaL version: 2.1.3
% 0.86/0.43 % (2618906)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.43 % (2618906)Time elapsed: 0.004 s
% 0.86/0.43 % (2618906)Peak memory usage: 12 MB
% 0.86/0.43 % (2618906)Instructions burned: 5 (million)
% 0.86/0.43 % (2618911)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2221590089:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.86/0.43 % (2618906)------------------------------
% 0.86/0.43 % (2618906)------------------------------
% 0.86/0.43 % (2618910)Instruction limit reached!
% 0.86/0.43 % (2618910)------------------------------
% 0.86/0.43 % (2618910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.43 % (2618910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.43 % (2618910)CaDiCaL version: 2.1.3
% 0.86/0.43 % (2618910)Termination reason: Instruction limit
% 0.86/0.43 % (2618910)Termination phase: Saturation
% 0.86/0.43 % (2618910)Time elapsed: 0.009 s
% 0.86/0.43 % (2618910)Peak memory usage: 12 MB
% 0.86/0.43 % (2618910)Instructions burned: 32 (million)
% 0.86/0.43 % (2618913)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1374761362:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.86/0.43 % (2618911)Instruction limit reached!
% 0.86/0.43 % (2618911)------------------------------
% 0.86/0.43 % (2618911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.43 % (2618911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.43 % (2618911)CaDiCaL version: 2.1.3
% 0.86/0.43 % (2618911)Termination reason: Instruction limit
% 0.86/0.43 % (2618911)Termination phase: Saturation
% 0.86/0.43 % (2618911)Time elapsed: 0.005 s
% 0.86/0.43 % (2618911)Peak memory usage: 12 MB
% 0.86/0.43 % (2618911)Instructions burned: 9 (million)
% 0.86/0.43 % (2618915)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3746092664:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 0.86/0.43 % (2618922)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=940582645:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 0.86/0.43 % (2618913)Instruction limit reached!
% 0.86/0.43 % (2618913)------------------------------
% 0.86/0.43 % (2618913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.43 % (2618913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.43 % (2618913)CaDiCaL version: 2.1.3
% 0.86/0.43 % (2618913)Termination reason: Instruction limit
% 0.86/0.43 % (2618913)Termination phase: Saturation
% 0.86/0.43 % (2618913)Time elapsed: 0.009 s
% 0.86/0.43 % (2618913)Peak memory usage: 11 MB
% 0.86/0.43 % (2618913)Instructions burned: 23 (million)
% 0.86/0.43 % (2618918)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2171178022:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 0.86/0.43 % (2618921)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3537394050:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 0.86/0.45 % (2618920)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2396486544:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 0.86/0.45 % (2618915)Instruction limit reached!
% 0.86/0.45 % (2618915)------------------------------
% 0.86/0.45 % (2618915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618915)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618915)Termination reason: Instruction limit
% 0.86/0.45 % (2618915)Termination phase: Saturation
% 0.86/0.45 % (2618915)Time elapsed: 0.013 s
% 0.86/0.45 % (2618915)Peak memory usage: 12 MB
% 0.86/0.45 % (2618915)Instructions burned: 22 (million)
% 0.86/0.45 % (2618924)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.45 % (2618918)Refutation not found, incomplete strategy
% 0.86/0.45 % (2618918)------------------------------
% 0.86/0.45 % (2618918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618918)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618918)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (2618918)Time elapsed: 0.006 s
% 0.86/0.45 % (2618918)Peak memory usage: 12 MB
% 0.86/0.45 % (2618918)Instructions burned: 9 (million)
% 0.86/0.45 % (2618921)Refutation not found, incomplete strategy
% 0.86/0.45 % (2618921)------------------------------
% 0.86/0.45 % (2618921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618921)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618921)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (2618921)Time elapsed: 0.003 s
% 0.86/0.45 % (2618921)Peak memory usage: 12 MB
% 0.86/0.45 % (2618921)Instructions burned: 5 (million)
% 0.86/0.45 % (2618918)------------------------------
% 0.86/0.45 % (2618918)------------------------------
% 0.86/0.45 % (2618922)Instruction limit reached!
% 0.86/0.45 % (2618922)------------------------------
% 0.86/0.45 % (2618922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618921)------------------------------
% 0.86/0.45 % (2618921)------------------------------
% 0.86/0.45 % (2618922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618922)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618922)Termination reason: Instruction limit
% 0.86/0.45 % (2618922)Termination phase: Saturation
% 0.86/0.45 % (2618922)Time elapsed: 0.012 s
% 0.86/0.45 % (2618922)Peak memory usage: 12 MB
% 0.86/0.45 % (2618922)Instructions burned: 43 (million)
% 0.86/0.45 % (2618924)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2376814294:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 0.86/0.45 % (2618924)Instruction limit reached!
% 0.86/0.45 % (2618924)------------------------------
% 0.86/0.45 % (2618924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618924)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618924)Termination reason: Instruction limit
% 0.86/0.45 % (2618924)Termination phase: Saturation
% 0.86/0.45 % (2618924)Time elapsed: 0.004 s
% 0.86/0.45 % (2618924)Peak memory usage: 12 MB
% 0.86/0.45 % (2618924)Instructions burned: 7 (million)
% 0.86/0.45 % (2618927)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=146379305:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 0.86/0.45 % (2618933)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1151938774:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 0.86/0.45 % (2618932)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 0.86/0.45 % (2618931)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=1187778447:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 0.86/0.45 % (2618933)Instruction limit reached!
% 0.86/0.45 % (2618933)------------------------------
% 0.86/0.45 % (2618933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618933)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618933)Termination reason: Instruction limit
% 0.86/0.45 % (2618933)Termination phase: Saturation
% 0.86/0.45 % (2618933)Time elapsed: 0.007 s
% 0.86/0.45 % (2618933)Peak memory usage: 12 MB
% 0.86/0.45 % (2618931)Refutation not found, incomplete strategy
% 0.86/0.45 % (2618931)------------------------------
% 0.86/0.45 % (2618931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618933)Instructions burned: 26 (million)
% 0.86/0.45 % (2618931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618931)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618931)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (2618931)Time elapsed: 0.002 s
% 0.86/0.45 % (2618931)Peak memory usage: 12 MB
% 0.86/0.45 % (2618931)Instructions burned: 3 (million)
% 0.86/0.45 % (2618932)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3658467637:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 0.86/0.45 % (2618935)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1720815278:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 0.86/0.45 % (2618931)------------------------------
% 0.86/0.45 % (2618931)------------------------------
% 0.86/0.45 % (2618932)Instruction limit reached!
% 0.86/0.45 % (2618932)------------------------------
% 0.86/0.45 % (2618932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618932)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618932)Termination reason: Instruction limit
% 0.86/0.45 % (2618932)Termination phase: Saturation
% 0.86/0.45 % (2618932)Time elapsed: 0.004 s
% 0.86/0.45 % (2618932)Peak memory usage: 12 MB
% 0.86/0.45 % (2618932)Instructions burned: 7 (million)
% 0.86/0.45 % (2618936)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=2240917896:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 0.86/0.45 % (2618935)Refutation not found, incomplete strategy
% 0.86/0.45 % (2618935)------------------------------
% 0.86/0.45 % (2618935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618935)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618935)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (2618935)Time elapsed: 0.006 s
% 0.86/0.45 % (2618935)Peak memory usage: 12 MB
% 0.86/0.45 % (2618935)Instructions burned: 9 (million)
% 0.86/0.45 % (2618935)------------------------------
% 0.86/0.45 % (2618935)------------------------------
% 0.86/0.45 % (2618940)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=3232228803:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 0.86/0.45 % (2618940)Refutation not found, incomplete strategy
% 0.86/0.45 % (2618940)------------------------------
% 0.86/0.45 % (2618940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618940)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618940)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (2618940)Time elapsed: 0.003 s
% 0.86/0.45 % (2618940)Peak memory usage: 12 MB
% 0.86/0.45 % (2618940)Instructions burned: 7 (million)
% 0.86/0.45 % (2618940)------------------------------
% 0.86/0.45 % (2618940)------------------------------
% 0.86/0.45 % (2618943)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=2411484660:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 0.86/0.45 % (2618945)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2694485036:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 0.86/0.45 % (2618943)Refutation not found, incomplete strategy
% 0.86/0.45 % (2618943)------------------------------
% 0.86/0.45 % (2618943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618943)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618943)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (2618943)Time elapsed: 0.005 s
% 0.86/0.45 % (2618943)Peak memory usage: 12 MB
% 0.86/0.45 % (2618943)Instructions burned: 7 (million)
% 0.86/0.45 % (2618943)------------------------------
% 0.86/0.45 % (2618943)------------------------------
% 0.86/0.45 % (2618946)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3742170819:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/21Mi)
% 0.86/0.45 % (2618945)Refutation not found, incomplete strategy
% 0.86/0.45 % (2618945)------------------------------
% 0.86/0.45 % (2618945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618945)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618945)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.45 % (2618945)Time elapsed: 0.003 s
% 0.86/0.45 % (2618945)Peak memory usage: 12 MB
% 0.86/0.45 % (2618945)Instructions burned: 4 (million)
% 0.86/0.45 % (2618948)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 0.86/0.45 % (2618945)------------------------------
% 0.86/0.45 % (2618945)------------------------------
% 0.86/0.45 % (2618948)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=30356572:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/200Mi)
% 0.86/0.45 % (2618920) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2618854-2618920"...
% 0.86/0.45 % (2618946)Instruction limit reached!
% 0.86/0.45 % (2618946)------------------------------
% 0.86/0.45 % (2618946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618946)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618946)Termination reason: Instruction limit
% 0.86/0.45 % (2618946)Termination phase: Saturation
% 0.86/0.45 % (2618946)Time elapsed: 0.013 s
% 0.86/0.45 % (2618946)Peak memory usage: 12 MB
% 0.86/0.45 % (2618946)Instructions burned: 23 (million)
% 0.86/0.45 % (2618920)...printing done.
% 0.86/0.45 % (2618920)Refutation found. Thanks to Tanya!
% 0.86/0.45 % SZS status Theorem for theBenchmark
% 0.86/0.45 % SZS output start Proof for theBenchmark
% 0.86/0.45 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.86/0.45 thf(func_def_1, type, s: ($i > $i)).
% 0.86/0.45 thf(func_def_2, type, ite: ($o > $i > $i > $i)).
% 0.86/0.45 thf(func_def_8, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.86/0.45 thf(func_def_9, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.86/0.45 thf(func_def_11, type, db0: !>[X0: $tType]:(X0)).
% 0.86/0.45 thf(func_def_12, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.86/0.45 thf(func_def_13, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.86/0.45 thf(func_def_14, type, vNOT: ($o > $o)).
% 0.86/0.45 thf(func_def_15, type, sK3: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.86/0.45 thf(func_def_16, type, sK4: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.86/0.45 thf(func_def_17, type, sK5: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.86/0.45 thf(func_def_18, type, sK6: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.86/0.45 thf(func_def_19, type, sK7: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.86/0.45 thf(func_def_20, type, sK8: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.86/0.45 thf(func_def_21, type, sK9: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.86/0.45 thf(func_def_22, type, sK10: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.86/0.45 thf(func_def_23, type, sK11: !>[X0: $tType]:((($i > X0 > $o) > X0))).
% 0.86/0.45 thf(f1,conjecture,(
% 0.86/0.45 (! [X3 : $i] : (((s @ X3)) != X3) & ! [X0 : $o,X1 : $i,X2 : $i] : (~X0 => (((ite @ X0 @ X1 @ X2)) = X2)) & ! [X0 : $o,X2 : $i,X1 : $i] : (X0 => (((ite @ X0 @ X1 @ X2)) = X1))) => ? [X4 : ($i > $i)] : ((((X4 @ zero)) = ((s @ zero))) & (((X4 @ (s @ (s @ zero)))) = ((s @ zero))) & (((X4 @ (s @ zero))) = zero))),
% 0.86/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',n9)).
% 0.86/0.45 thf(f2,negated_conjecture,(
% 0.86/0.45 ~((! [X3 : $i] : (((s @ X3)) != X3) & ! [X0 : $o,X1 : $i,X2 : $i] : (~X0 => (((ite @ X0 @ X1 @ X2)) = X2)) & ! [X0 : $o,X2 : $i,X1 : $i] : (X0 => (((ite @ X0 @ X1 @ X2)) = X1))) => ? [X4 : ($i > $i)] : ((((X4 @ zero)) = ((s @ zero))) & (((X4 @ (s @ (s @ zero)))) = ((s @ zero))) & (((X4 @ (s @ zero))) = zero)))),
% 0.86/0.45 inference(negated_conjecture,[status(cth)],[f1])).
% 0.86/0.45 thf(f3,plain,(
% 0.86/0.45 ~((! [X0 : $i] : (((s @ X0)) != X0) & ! [X1 : $o,X2 : $i,X3 : $i] : (~X1 => (((ite @ X1 @ X2 @ X3)) = X3)) & ! [X4 : $o,X5 : $i,X6 : $i] : (X4 => (((ite @ X4 @ X6 @ X5)) = X6))) => ? [X7 : ($i > $i)] : ((((s @ zero)) = ((X7 @ zero))) & (((s @ zero)) = ((X7 @ (s @ (s @ zero))))) & (zero = ((X7 @ (s @ zero))))))),
% 0.86/0.45 inference(rectify,[],[f2])).
% 0.86/0.45 thf(f4,plain,(
% 0.86/0.45 ~((! [X0 : $i] : (((s @ X0)) != X0) & ! [X1 : $o,X2 : $i,X3 : $i] : (~ ($true = X1) => (((ite @ X1 @ X2 @ X3)) = X3)) & ! [X5 : $i,X6 : $i,X4 : $o] : (($true = X4) => (((ite @ X4 @ X6 @ X5)) = X6))) => ? [X7 : ($i > $i)] : ((((s @ zero)) = ((X7 @ zero))) & (((s @ zero)) = ((X7 @ (s @ (s @ zero))))) & (zero = ((X7 @ (s @ zero))))))),
% 0.86/0.45 inference(fool_elimination,[],[f3])).
% 0.86/0.45 thf(f5,plain,(
% 0.86/0.45 ~((! [X5 : $i,X6 : $i,X4 : $o] : (($true = X4) => (((ite @ X4 @ X6 @ X5)) = X6)) & ! [X0 : $i] : (((s @ X0)) != X0) & ! [X3 : $i,X1 : $o,X2 : $i] : (($true != X1) => (((ite @ X1 @ X2 @ X3)) = X3))) => ? [X7 : ($i > $i)] : ((((s @ zero)) = ((X7 @ zero))) & (((s @ zero)) = ((X7 @ (s @ (s @ zero))))) & (zero = ((X7 @ (s @ zero))))))),
% 0.86/0.45 inference(flattening,[],[f4])).
% 0.86/0.45 thf(f6,plain,(
% 0.86/0.45 ! [X7 : ($i > $i)] : ((((s @ zero)) != ((X7 @ (s @ (s @ zero))))) | (zero != ((X7 @ (s @ zero)))) | (((s @ zero)) != ((X7 @ zero)))) & (! [X6 : $i,X4 : $o,X5 : $i] : (($true != X4) | (((ite @ X4 @ X6 @ X5)) = X6)) & ! [X0 : $i] : (((s @ X0)) != X0) & ! [X2 : $i,X3 : $i,X1 : $o] : (($true = X1) | (((ite @ X1 @ X2 @ X3)) = X3)))),
% 0.86/0.45 inference(ennf_transformation,[],[f5])).
% 0.86/0.45 thf(f7,plain,(
% 0.86/0.45 ! [X2 : $i,X3 : $i,X1 : $o] : (($true = X1) | (((ite @ X1 @ X2 @ X3)) = X3)) & ! [X6 : $i,X4 : $o,X5 : $i] : (($true != X4) | (((ite @ X4 @ X6 @ X5)) = X6)) & ! [X7 : ($i > $i)] : ((((s @ zero)) != ((X7 @ (s @ (s @ zero))))) | (zero != ((X7 @ (s @ zero)))) | (((s @ zero)) != ((X7 @ zero)))) & ! [X0 : $i] : (((s @ X0)) != X0)),
% 0.86/0.45 inference(flattening,[],[f6])).
% 0.86/0.45 thf(f8,plain,(
% 0.86/0.45 ! [X0 : $i,X1 : $i,X2 : $o] : (($true = X2) | (((ite @ X2 @ X0 @ X1)) = X1)) & ! [X3 : $i,X4 : $o,X5 : $i] : (($true != X4) | (((ite @ X4 @ X3 @ X5)) = X3)) & ! [X6 : ($i > $i)] : ((((s @ zero)) != ((X6 @ (s @ (s @ zero))))) | (zero != ((X6 @ (s @ zero)))) | (((s @ zero)) != ((X6 @ zero)))) & ! [X7 : $i] : (((s @ X7)) != X7)),
% 0.86/0.45 inference(rectify,[],[f7])).
% 0.86/0.45 thf(f9,plain,(
% 0.86/0.45 ( ! [X7 : $i] : ((((s @ X7)) != X7)) )),
% 0.86/0.45 inference(cnf_transformation,[],[f8])).
% 0.86/0.45 thf(f10,plain,(
% 0.86/0.45 ( ! [X6 : ($i > $i)] : ((((s @ zero)) != ((X6 @ (s @ (s @ zero))))) | (zero != ((X6 @ (s @ zero)))) | (((s @ zero)) != ((X6 @ zero)))) )),
% 0.86/0.45 inference(cnf_transformation,[],[f8])).
% 0.86/0.45 thf(f11,plain,(
% 0.86/0.45 ( ! [X3 : $i,X4 : $o,X5 : $i] : (($true != X4) | (((ite @ X4 @ X3 @ X5)) = X3)) )),
% 0.86/0.45 inference(cnf_transformation,[],[f8])).
% 0.86/0.45 thf(f12,plain,(
% 0.86/0.45 ( ! [X2 : $o,X0 : $i,X1 : $i] : ((((ite @ X2 @ X0 @ X1)) = X1) | ($true = X2)) )),
% 0.86/0.45 inference(cnf_transformation,[],[f8])).
% 0.86/0.45 thf(f13,definition,(
% 0.86/0.45 ($true != $false)),
% 0.86/0.45 introduced(theory,[fool_distinctness_axiom])).
% 0.86/0.45 thf(f14,definition,(
% 0.86/0.45 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.86/0.45 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.86/0.45 thf(f15,plain,(
% 0.86/0.45 ( ! [X3 : $i,X5 : $i] : ((((ite @ $true @ X3 @ X5)) = X3)) )),
% 0.86/0.45 inference(equality_resolution,[],[f11])).
% 0.86/0.45 thf(f16,definition,(
% 0.86/0.45 (sF0 = ((s @ zero)))),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 0.86/0.45 thf(f17,plain,(
% 0.86/0.45 (((s @ zero)) = sF0)),
% 0.86/0.45 inference(reorient_equations,[],[f16])).
% 0.86/0.45 thf(f18,definition,(
% 0.86/0.45 (sF1 = ((s @ sF0)))),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 0.86/0.45 thf(f19,plain,(
% 0.86/0.45 (((s @ sF0)) = sF1)),
% 0.86/0.45 inference(reorient_equations,[],[f18])).
% 0.86/0.45 thf(f20,plain,(
% 0.86/0.45 ( ! [X6 : ($i > $i)] : ((((X6 @ sF1)) != sF0) | (zero != ((X6 @ sF0))) | (((X6 @ zero)) != sF0)) )),
% 0.86/0.45 inference(definition_folding,[],[f10,f17,f17,f19,f17,f17])).
% 0.86/0.45 thf(f22,definition,(
% 0.86/0.45 spl2_1 <=> (((s @ zero)) = sF0)),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition])).
% 0.86/0.45 thf(f24,plain,(
% 0.86/0.45 (((s @ zero)) = sF0) | ~spl2_1),
% 0.86/0.45 inference(avatar_component_clause,[],[f22])).
% 0.86/0.45 thf(f25,plain,(
% 0.86/0.45 spl2_1),
% 0.86/0.45 inference(avatar_split_clause,[],[f17,f22])).
% 0.86/0.45 thf(f27,definition,(
% 0.86/0.45 spl2_2 <=> (((s @ sF0)) = sF1)),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition])).
% 0.86/0.45 thf(f29,plain,(
% 0.86/0.45 (((s @ sF0)) = sF1) | ~spl2_2),
% 0.86/0.45 inference(avatar_component_clause,[],[f27])).
% 0.86/0.45 thf(f30,plain,(
% 0.86/0.45 spl2_2),
% 0.86/0.45 inference(avatar_split_clause,[],[f19,f27])).
% 0.86/0.45 thf(f32,definition,(
% 0.86/0.45 spl2_3 <=> ($true = $false)),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition])).
% 0.86/0.45 thf(f34,plain,(
% 0.86/0.45 ($true != $false) | spl2_3),
% 0.86/0.45 inference(avatar_component_clause,[],[f32])).
% 0.86/0.45 thf(f35,plain,(
% 0.86/0.45 ~spl2_3),
% 0.86/0.45 inference(avatar_split_clause,[],[f13,f32])).
% 0.86/0.45 thf(f43,plain,(
% 0.86/0.45 (zero != sF0) | ~spl2_1),
% 0.86/0.45 inference(constrained_superposition,[],[f9,f24])).
% 0.86/0.45 thf(f44,plain,(
% 0.86/0.45 (sF1 != sF0) | ~spl2_2),
% 0.86/0.45 inference(constrained_superposition,[],[f9,f29])).
% 0.86/0.45 thf(f46,definition,(
% 0.86/0.45 spl2_4 <=> (sF1 = sF0)),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition])).
% 0.86/0.45 thf(f48,plain,(
% 0.86/0.45 (sF1 != sF0) | spl2_4),
% 0.86/0.45 inference(avatar_component_clause,[],[f46])).
% 0.86/0.45 thf(f49,plain,(
% 0.86/0.45 ~spl2_4 | ~spl2_2),
% 0.86/0.45 inference(avatar_split_clause,[],[f44,f27,f46])).
% 0.86/0.45 thf(f51,definition,(
% 0.86/0.45 spl2_5 <=> (zero = sF0)),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition])).
% 0.86/0.45 thf(f53,plain,(
% 0.86/0.45 (zero != sF0) | spl2_5),
% 0.86/0.45 inference(avatar_component_clause,[],[f51])).
% 0.86/0.45 thf(f54,plain,(
% 0.86/0.45 ~spl2_5 | ~spl2_1),
% 0.86/0.45 inference(avatar_split_clause,[],[f43,f22,f51])).
% 0.86/0.45 thf(f77,plain,(
% 0.86/0.45 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X4 : $o,X5 : $i] : ((sF0 != X0) | (zero != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ sF0))) | (((X2 @ sF1)) != X5) | (((X1 @ sF1)) != X4) | (((X3 @ sF1)) != X0) | (sF0 != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ zero))) | ($true = X4)) )),
% 0.86/0.45 inference(constrained_superposition,[],[f20,f12])).
% 0.86/0.45 thf(f78,plain,(
% 0.86/0.45 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X4 : $o,X5 : $i] : ((((X3 @ sF1)) != X0) | (((X2 @ sF1)) != X5) | ($true = ((X1 @ sF1))) | (sF0 != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ zero))) | (sF0 != X0) | ($true = X4) | ($true = X4) | (zero != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ sF0)))) )),
% 0.86/0.45 inference(xor_proxy_clausification,[],[f77])).
% 0.86/0.45 thf(f81,plain,(
% 0.86/0.45 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X4 : $o,X5 : $i] : ((zero != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ sF0))) | (((X2 @ sF1)) != X5) | ($true = X4) | (sF0 != X0) | (sF0 != (((^[Y0 : $i]: (ite @ (X1 @ Y0) @ (X2 @ Y0) @ (X3 @ Y0))) @ zero))) | (((X3 @ sF1)) != X0) | ($true = ((X1 @ sF1)))) )),
% 0.86/0.45 inference(duplicate_literal_removal,[],[f78])).
% 0.86/0.45 thf(f82,plain,(
% 0.86/0.45 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X4 : $o,X5 : $i] : ((((X2 @ sF1)) != X5) | (((X3 @ sF1)) != X0) | (sF0 != X0) | (((ite @ (X1 @ zero) @ (X2 @ zero) @ (X3 @ zero))) != sF0) | (zero != ((ite @ (X1 @ sF0) @ (X2 @ sF0) @ (X3 @ sF0)))) | ($true = X4) | ($true = ((X1 @ sF1)))) )),
% 0.86/0.45 inference(beta-eta_normalization,[],[f81])).
% 0.86/0.45 thf(f84,definition,(
% 0.86/0.45 spl2_8 <=> ! [X3 : ($i > $i),X0 : $i,X5 : $i,X2 : ($i > $i),X1 : ($i > $o)] : ((((X2 @ sF1)) != X5) | ($true = ((X1 @ sF1))) | (zero != ((ite @ (X1 @ sF0) @ (X2 @ sF0) @ (X3 @ sF0)))) | (((ite @ (X1 @ zero) @ (X2 @ zero) @ (X3 @ zero))) != sF0) | (((X3 @ sF1)) != X0) | (sF0 != X0))),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition])).
% 0.86/0.45 thf(f85,plain,(
% 0.86/0.45 ( ! [X2 : ($i > $i),X3 : ($i > $i),X0 : $i,X1 : ($i > $o),X5 : $i] : ((((ite @ (X1 @ zero) @ (X2 @ zero) @ (X3 @ zero))) != sF0) | (zero != ((ite @ (X1 @ sF0) @ (X2 @ sF0) @ (X3 @ sF0)))) | ($true = ((X1 @ sF1))) | (sF0 != X0) | (((X2 @ sF1)) != X5) | (((X3 @ sF1)) != X0)) ) | ~spl2_8),
% 0.86/0.45 inference(avatar_component_clause,[],[f84])).
% 0.86/0.45 thf(f87,definition,(
% 0.86/0.45 spl2_9 <=> ! [X4 : $o] : ($true = X4)),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition])).
% 0.86/0.45 thf(f88,plain,(
% 0.86/0.45 ( ! [X4 : $o] : (($true = X4)) ) | ~spl2_9),
% 0.86/0.45 inference(avatar_component_clause,[],[f87])).
% 0.86/0.45 thf(f89,plain,(
% 0.86/0.45 spl2_8 | spl2_9),
% 0.86/0.45 inference(avatar_split_clause,[],[f82,f87,f84])).
% 0.86/0.45 thf(f94,plain,(
% 0.86/0.45 ( ! [X0 : $o] : (($false != X0)) ) | (spl2_3 | ~spl2_9)),
% 0.86/0.45 inference(constrained_superposition,[],[f34,f88])).
% 0.86/0.45 thf(f103,plain,(
% 0.86/0.45 $false | (spl2_3 | ~spl2_9)),
% 0.86/0.45 inference(equality_resolution,[],[f94])).
% 0.86/0.45 thf(f104,plain,(
% 0.86/0.45 spl2_3 | ~spl2_9),
% 0.86/0.45 inference(avatar_contradiction_clause,[],[f103])).
% 0.86/0.45 thf(f282,plain,(
% 0.86/0.45 ( ! [X2 : ($i > $i),X3 : $i,X0 : ($i > $i),X1 : ($i > $o),X4 : $i] : ((zero != ((ite @ (X1 @ sF0) @ (X2 @ sF0) @ (X0 @ sF0)))) | ($true = ((X1 @ zero))) | ($true = ((X1 @ sF1))) | (((X0 @ zero)) != sF0) | (sF0 != X3) | (((X0 @ sF1)) != X3) | (((X2 @ sF1)) != X4)) ) | ~spl2_8),
% 0.86/0.45 inference(constrained_superposition,[],[f85,f12])).
% 0.86/0.45 thf(f360,definition,(
% 0.86/0.45 spl2_33 <=> ! [X3 : $i] : (sF0 != X3)),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition])).
% 0.86/0.45 thf(f361,plain,(
% 0.86/0.45 ( ! [X3 : $i] : ((sF0 != X3)) ) | ~spl2_33),
% 0.86/0.45 inference(avatar_component_clause,[],[f360])).
% 0.86/0.45 thf(f389,plain,(
% 0.86/0.45 $false | ~spl2_33),
% 0.86/0.45 inference(equality_resolution,[],[f361])).
% 0.86/0.45 thf(f390,plain,(
% 0.86/0.45 ~spl2_33),
% 0.86/0.45 inference(avatar_contradiction_clause,[],[f389])).
% 0.86/0.45 thf(f1515,plain,(
% 0.86/0.45 ( ! [X2 : ($i > $i),X3 : $i,X0 : ($i > $o),X1 : ($i > $i),X4 : $i] : ((((X1 @ sF1)) != X4) | (((X2 @ sF1)) != X3) | ($true = ((X0 @ zero))) | ($true = ((X0 @ sF1))) | (sF0 != X3) | ($false = ((X0 @ sF0))) | (((X2 @ zero)) != sF0) | (zero != ((ite @ $true @ (X1 @ sF0) @ (X2 @ sF0))))) ) | ~spl2_8),
% 0.86/0.45 inference(constrained_superposition,[],[f282,f14])).
% 0.86/0.45 thf(f1556,plain,(
% 0.86/0.45 ( ! [X2 : ($i > $i),X3 : $i,X0 : ($i > $o),X1 : ($i > $i),X4 : $i] : ((((X2 @ zero)) != sF0) | (sF0 != X3) | ($true = ((X0 @ zero))) | ($false = ((X0 @ sF0))) | ($true = ((X0 @ sF1))) | (((X2 @ sF1)) != X3) | (zero != ((X1 @ sF0))) | (((X1 @ sF1)) != X4)) ) | ~spl2_8),
% 0.86/0.45 inference(forward_demodulation,[],[f1515,f15])).
% 0.86/0.45 thf(f1568,definition,(
% 0.86/0.45 spl2_105 <=> ! [X2 : ($i > $i),X3 : $i] : ((((X2 @ zero)) != sF0) | (((X2 @ sF1)) != X3) | (sF0 != X3))),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition])).
% 0.86/0.45 thf(f1569,plain,(
% 0.86/0.45 ( ! [X2 : ($i > $i),X3 : $i] : ((((X2 @ zero)) != sF0) | (sF0 != X3) | (((X2 @ sF1)) != X3)) ) | ~spl2_105),
% 0.86/0.45 inference(avatar_component_clause,[],[f1568])).
% 0.86/0.45 thf(f1571,definition,(
% 0.86/0.45 spl2_106 <=> ! [X1 : ($i > $o)] : (($false = ((X1 @ sF0))) | ($true = ((X1 @ zero))) | ($true = ((X1 @ sF1))))),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition])).
% 0.86/0.45 thf(f1572,plain,(
% 0.86/0.45 ( ! [X1 : ($i > $o)] : (($true = ((X1 @ sF1))) | ($true = ((X1 @ zero))) | ($false = ((X1 @ sF0)))) ) | ~spl2_106),
% 0.86/0.45 inference(avatar_component_clause,[],[f1571])).
% 0.86/0.45 thf(f1574,definition,(
% 0.86/0.45 spl2_107 <=> ! [X4 : $i,X0 : ($i > $i)] : ((zero != ((X0 @ sF0))) | (((X0 @ sF1)) != X4))),
% 0.86/0.45 introduced(definition,[new_symbols(definition,[spl2_107])],[avatar_definition])).
% 0.86/0.45 thf(f1575,plain,(
% 0.86/0.45 ( ! [X0 : ($i > $i),X4 : $i] : ((zero != ((X0 @ sF0))) | (((X0 @ sF1)) != X4)) ) | ~spl2_107),
% 0.86/0.45 inference(avatar_component_clause,[],[f1574])).
% 0.86/0.45 thf(f1589,plain,(
% 0.86/0.45 spl2_105 | spl2_106 | spl2_107 | ~spl2_8),
% 0.86/0.45 inference(avatar_split_clause,[],[f1556,f84,f1574,f1571,f1568])).
% 0.86/0.45 thf(f1614,plain,(
% 0.86/0.45 ( ! [X0 : $i] : (((((^[Y0 : $i]: (zero)) @ sF1)) != X0)) ) | ~spl2_107),
% 0.86/0.45 inference(equality_resolution,[],[f1575])).
% 0.86/0.45 thf(f1629,plain,(
% 0.86/0.45 ( ! [X0 : $i] : ((zero != X0)) ) | ~spl2_107),
% 0.86/0.45 inference(beta-eta_normalization,[],[f1614])).
% 0.86/0.45 thf(f1645,plain,(
% 0.86/0.45 ( ! [X0 : $i] : ((sF0 != X0) | ((((^[Y0 : $i]: (sF0)) @ sF1)) != X0)) ) | ~spl2_105),
% 0.86/0.45 inference(equality_resolution,[],[f1569])).
% 0.86/0.45 thf(f1654,plain,(
% 0.86/0.45 ( ! [X0 : $i] : ((sF0 != X0) | (sF0 != X0)) ) | ~spl2_105),
% 0.86/0.45 inference(beta-eta_normalization,[],[f1645])).
% 0.86/0.45 thf(f1655,plain,(
% 0.86/0.45 ( ! [X0 : $i] : ((sF0 != X0)) ) | ~spl2_105),
% 0.86/0.45 inference(duplicate_literal_removal,[],[f1654])).
% 0.86/0.45 thf(f1669,plain,(
% 0.86/0.45 spl2_33 | ~spl2_105),
% 0.86/0.45 inference(avatar_split_clause,[],[f1655,f1568,f360])).
% 0.86/0.45 thf(f1681,plain,(
% 0.86/0.45 ($true = ((sF0 = zero))) | (sF1 = sF0) | ~spl2_106),
% 0.86/0.45 inference(leibniz_equality_elimination,[],[f1572])).
% 0.86/0.45 thf(f1756,plain,(
% 0.86/0.45 (sF1 = sF0) | (zero = sF0) | ~spl2_106),
% 0.86/0.45 inference(equality_proxy_clausification,[],[f1681])).
% 0.86/0.45 thf(f1883,plain,(
% 0.86/0.45 (zero = sF0) | (spl2_4 | ~spl2_106)),
% 0.86/0.45 inference(forward_subsumption_resolution,[],[f1756,f48])).
% 0.86/0.45 thf(f1924,plain,(
% 0.86/0.45 $false | (spl2_4 | spl2_5 | ~spl2_106)),
% 0.86/0.45 inference(forward_subsumption_resolution,[],[f1883,f53])).
% 0.86/0.45 thf(f1925,plain,(
% 0.86/0.45 spl2_4 | spl2_5 | ~spl2_106),
% 0.86/0.45 inference(avatar_contradiction_clause,[],[f1924])).
% 0.86/0.45 thf(f1928,plain,(
% 0.86/0.45 $false | ~spl2_107),
% 0.86/0.45 inference(equality_resolution,[],[f1629])).
% 0.86/0.45 thf(f1929,plain,(
% 0.86/0.45 ~spl2_107),
% 0.86/0.45 inference(avatar_contradiction_clause,[],[f1928])).
% 0.86/0.45 cnf(s1, plain, spl2_1, inference(sat_conversion,[],[f25])).
% 0.86/0.45 cnf(s2, plain, spl2_2, inference(sat_conversion,[],[f30])).
% 0.86/0.45 cnf(s3, plain, ~spl2_3, inference(sat_conversion,[],[f35])).
% 0.86/0.45 cnf(s4, plain, ~spl2_2 | ~spl2_4, inference(sat_conversion,[],[f49])).
% 0.86/0.45 cnf(s5, plain, ~spl2_1 | ~spl2_5, inference(sat_conversion,[],[f54])).
% 0.86/0.45 cnf(s8, plain, spl2_8 | spl2_9, inference(sat_conversion,[],[f89])).
% 0.86/0.45 cnf(s9, plain, spl2_3 | ~spl2_9, inference(sat_conversion,[],[f104])).
% 0.86/0.45 cnf(s37, plain, ~spl2_33, inference(sat_conversion,[],[f390])).
% 0.86/0.45 cnf(s117, plain, ~spl2_8 | spl2_105 | spl2_106 | spl2_107, inference(sat_conversion,[],[f1589])).
% 0.86/0.45 cnf(s126, plain, spl2_33 | ~spl2_105, inference(sat_conversion,[],[f1669])).
% 0.86/0.45 cnf(s142, plain, spl2_4 | spl2_5 | ~spl2_106, inference(sat_conversion,[],[f1925])).
% 0.86/0.45 cnf(s143, plain, ~spl2_107, inference(sat_conversion,[],[f1929])).
% 0.86/0.45 cnf(s144, plain, ~spl2_8 | spl2_105 | spl2_106, inference(rat,[],[s117,s143])).
% 0.86/0.45 cnf(s149, plain, ~spl2_105, inference(rat,[],[s126,s37])).
% 0.86/0.45 cnf(s162, plain, ~spl2_9, inference(rat,[],[s9,s3])).
% 0.86/0.45 cnf(s170, plain, spl2_8, inference(rat,[],[s8,s162])).
% 0.86/0.45 cnf(s173, plain, spl2_106, inference(rat,[],[s144,s149,s170])).
% 0.86/0.45 cnf(s192, plain, ~spl2_4, inference(rat,[],[s4,s2])).
% 0.86/0.45 cnf(s193, plain, spl2_5, inference(rat,[],[s142,s173,s192])).
% 0.86/0.45 cnf(s194, plain, ~spl2_1, inference(rat,[],[s5,s193])).
% 0.86/0.45 cnf(s195, plain, $false, inference(rat,[],[s1,s194])).
% 0.86/0.45 thf(f1930,plain,(
% 0.86/0.45 $false),
% 0.86/0.45 inference(avatar_sat_refutation,[],[s195])).
% 0.86/0.45 % SZS output end Proof for theBenchmark
% 0.86/0.45 % (2618920)------------------------------
% 0.86/0.45 % (2618920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.45 % (2618920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.45 % (2618920)CaDiCaL version: 2.1.3
% 0.86/0.45 % (2618920)Termination reason: Refutation
% 0.86/0.45 % (2618920)Time elapsed: 0.063 s
% 0.86/0.45 % (2618920)Peak memory usage: 13 MB
% 0.86/0.45 % (2618920)Instructions burned: 141 (million)
% 0.86/0.45 % (2618854)Success in time 0.211 s
% 0.86/0.45 % Vampire exiting
%------------------------------------------------------------------------------