%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT239^1 : TPTP v9.3.1. Released v7.0.0.
% 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 07:48:36 AM UTC 2026
% Result : Theorem 0.69s 0.43s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT239^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n014.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 18:13:30 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.24/0.27 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
% 0.69/0.41 % (3023695)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.69/0.41 % (3023706)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.69/0.41 % (3023706)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
% 0.69/0.41 % (3023706)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=4291860674:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.69/0.41 % (3023701)lrs+10_16_si=on:nwc=1.5:random_seed=3477226908:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.69/0.41 % (3023702)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=101008424:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.69/0.41 % (3023700)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4255523541:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.69/0.41 % (3023705)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3679644684:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.69/0.41 % (3023702)Instruction limit reached!
% 0.69/0.41 % (3023702)------------------------------
% 0.69/0.41 % (3023702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (3023702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (3023702)CaDiCaL version: 2.1.3
% 0.69/0.41 % (3023702)Termination reason: Instruction limit
% 0.69/0.41 % (3023702)Termination phase: shuffling
% 0.69/0.41 % (3023702)Time elapsed: 0.003 s
% 0.69/0.41 % (3023702)Peak memory usage: 10 MB
% 0.69/0.41 % (3023702)Instructions burned: 6 (million)
% 0.69/0.41 % (3023703)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=3494493580: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)
% 0.69/0.41 % (3023704)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2594867611:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.69/0.41 % (3023701)Instruction limit reached!
% 0.69/0.41 % (3023701)------------------------------
% 0.69/0.41 % (3023701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (3023701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (3023701)CaDiCaL version: 2.1.3
% 0.69/0.41 % (3023701)Termination reason: Instruction limit
% 0.69/0.41 % (3023701)Termination phase: Property scanning
% 0.69/0.41 % (3023701)Time elapsed: 0.009 s
% 0.69/0.41 % (3023701)Peak memory usage: 10 MB
% 0.69/0.41 % (3023701)Instructions burned: 19 (million)
% 0.69/0.41 % (3023704)Instruction limit reached!
% 0.69/0.41 % (3023704)------------------------------
% 0.69/0.41 % (3023704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (3023704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (3023704)CaDiCaL version: 2.1.3
% 0.69/0.41 % (3023704)Termination reason: Instruction limit
% 0.69/0.41 % (3023704)Termination phase: Preprocessing 1
% 0.69/0.41 % (3023704)Time elapsed: 0.014 s
% 0.69/0.41 % (3023704)Peak memory usage: 10 MB
% 0.69/0.41 % (3023704)Instructions burned: 25 (million)
% 0.69/0.41 % (3023713)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2798035738:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.69/0.41 % (3023713)Instruction limit reached!
% 0.69/0.41 % (3023713)------------------------------
% 0.69/0.41 % (3023713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (3023713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (3023713)CaDiCaL version: 2.1.3
% 0.69/0.41 % (3023713)Termination reason: Instruction limit
% 0.69/0.41 % (3023713)Termination phase: shuffling
% 0.69/0.41 % (3023713)Time elapsed: 0.003 s
% 0.69/0.41 % (3023713)Peak memory usage: 10 MB
% 0.69/0.41 % (3023713)Instructions burned: 6 (million)
% 0.69/0.41 % (3023715)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=958797796:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.69/0.43 % (3023715)Instruction limit reached!
% 0.69/0.43 % (3023715)------------------------------
% 0.69/0.43 % (3023715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023715)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023715)Termination reason: Instruction limit
% 0.69/0.43 % (3023715)Termination phase: shuffling
% 0.69/0.43 % (3023715)Time elapsed: 0.003 s
% 0.69/0.43 % (3023715)Peak memory usage: 10 MB
% 0.69/0.43 % (3023715)Instructions burned: 6 (million)
% 0.69/0.43 % (3023706)Instruction limit reached!
% 0.69/0.43 % (3023706)------------------------------
% 0.69/0.43 % (3023706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023706)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023706)Termination reason: Instruction limit
% 0.69/0.43 % (3023706)Termination phase: Saturation
% 0.69/0.43 % (3023706)Time elapsed: 0.040 s
% 0.69/0.43 % (3023706)Peak memory usage: 13 MB
% 0.69/0.43 % (3023706)Instructions burned: 159 (million)
% 0.69/0.43 % (3023705)Instruction limit reached!
% 0.69/0.43 % (3023705)------------------------------
% 0.69/0.43 % (3023705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023705)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023705)Termination reason: Instruction limit
% 0.69/0.43 % (3023705)Termination phase: Saturation
% 0.69/0.43 % (3023705)Time elapsed: 0.035 s
% 0.69/0.43 % (3023705)Peak memory usage: 13 MB
% 0.69/0.43 % (3023705)Instructions burned: 77 (million)
% 0.69/0.43 % (3023716)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.43 % (3023700)Instruction limit reached!
% 0.69/0.43 % (3023700)------------------------------
% 0.69/0.43 % (3023700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023700)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023700)Termination reason: Instruction limit
% 0.69/0.43 % (3023700)Termination phase: Saturation
% 0.69/0.43 % (3023700)Time elapsed: 0.040 s
% 0.69/0.43 % (3023700)Peak memory usage: 13 MB
% 0.69/0.43 % (3023700)Instructions burned: 89 (million)
% 0.69/0.43 % (3023716)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2457989780:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.69/0.43 % (3023716)Instruction limit reached!
% 0.69/0.43 % (3023716)------------------------------
% 0.69/0.43 % (3023716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023716)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023716)Termination reason: Instruction limit
% 0.69/0.43 % (3023716)Termination phase: shuffling
% 0.69/0.43 % (3023716)Time elapsed: 0.004 s
% 0.69/0.43 % (3023716)Peak memory usage: 10 MB
% 0.69/0.43 % (3023716)Instructions burned: 7 (million)
% 0.69/0.43 % (3023721)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=675099310:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.69/0.43 % (3023718)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1568356374:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.69/0.43 % (3023720)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
% 0.69/0.43 % (3023720)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.43 % (3023720)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2491211135:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.69/0.43 % (3023718)Instruction limit reached!
% 0.69/0.43 % (3023718)------------------------------
% 0.69/0.43 % (3023718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023718)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023718)Termination reason: Instruction limit
% 0.69/0.43 % (3023718)Termination phase: shuffling
% 0.69/0.43 % (3023718)Time elapsed: 0.006 s
% 0.69/0.43 % (3023718)Peak memory usage: 10 MB
% 0.69/0.43 % (3023718)Instructions burned: 12 (million)
% 0.69/0.43 % (3023722)lrs+10_1_si=on:cs=on:random_seed=3761412245:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.69/0.43 % (3023724)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.69/0.43 % (3023722)Instruction limit reached!
% 0.69/0.43 % (3023722)------------------------------
% 0.69/0.43 % (3023722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023722)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023722)Termination reason: Instruction limit
% 0.69/0.43 % (3023722)Termination phase: shuffling
% 0.69/0.43 % (3023722)Time elapsed: 0.004 s
% 0.69/0.43 % (3023722)Peak memory usage: 10 MB
% 0.69/0.43 % (3023722)Instructions burned: 8 (million)
% 0.69/0.43 % (3023724)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=2387500324:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.69/0.43 % (3023724)Instruction limit reached!
% 0.69/0.43 % (3023724)------------------------------
% 0.69/0.43 % (3023724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023724)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023724)Termination reason: Instruction limit
% 0.69/0.43 % (3023724)Termination phase: shuffling
% 0.69/0.43 % (3023724)Time elapsed: 0.002 s
% 0.69/0.43 % (3023724)Peak memory usage: 10 MB
% 0.69/0.43 % (3023724)Instructions burned: 4 (million)
% 0.69/0.43 % (3023727)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=230420682:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.69/0.43 % (3023720)Instruction limit reached!
% 0.69/0.43 % (3023720)------------------------------
% 0.69/0.43 % (3023720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023720)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023720)Termination reason: Instruction limit
% 0.69/0.43 % (3023720)Termination phase: Property scanning
% 0.69/0.43 % (3023720)Time elapsed: 0.013 s
% 0.69/0.43 % (3023720)Peak memory usage: 10 MB
% 0.69/0.43 % (3023720)Instructions burned: 30 (million)
% 0.69/0.43 % (3023721)Instruction limit reached!
% 0.69/0.43 % (3023721)------------------------------
% 0.69/0.43 % (3023721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023721)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023721)Termination reason: Instruction limit
% 0.69/0.43 % (3023721)Termination phase: Saturation
% 0.69/0.43 % (3023721)Time elapsed: 0.019 s
% 0.69/0.43 % (3023721)Peak memory usage: 12 MB
% 0.69/0.43 % (3023721)Instructions burned: 87 (million)
% 0.69/0.43 % (3023729)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3857238983:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.69/0.43 % (3023736)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3525998645:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.69/0.43 % (3023731)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2975171610:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.69/0.43 % (3023736)Instruction limit reached!
% 0.69/0.43 % (3023736)------------------------------
% 0.69/0.43 % (3023736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023736)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023736)Termination reason: Instruction limit
% 0.69/0.43 % (3023736)Termination phase: shuffling
% 0.69/0.43 % (3023736)Time elapsed: 0.005 s
% 0.69/0.43 % (3023736)Peak memory usage: 10 MB
% 0.69/0.43 % (3023736)Instructions burned: 15 (million)
% 0.69/0.43 % (3023733)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2597588553:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.69/0.43 % (3023735)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4099235753:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.69/0.43 % (3023727)Instruction limit reached!
% 0.69/0.43 % (3023727)------------------------------
% 0.69/0.43 % (3023727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023727)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023727)Termination reason: Instruction limit
% 0.69/0.43 % (3023727)Termination phase: Property scanning
% 0.69/0.43 % (3023727)Time elapsed: 0.021 s
% 0.69/0.43 % (3023727)Peak memory usage: 11 MB
% 0.69/0.43 % (3023727)Instructions burned: 40 (million)
% 0.69/0.43 % (3023733)Instruction limit reached!
% 0.69/0.43 % (3023733)------------------------------
% 0.69/0.43 % (3023733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023733)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023733)Termination reason: Instruction limit
% 0.69/0.43 % (3023733)Termination phase: shuffling
% 0.69/0.43 % (3023733)Time elapsed: 0.007 s
% 0.69/0.43 % (3023733)Peak memory usage: 10 MB
% 0.69/0.43 % (3023733)Instructions burned: 14 (million)
% 0.69/0.43 % (3023731)Instruction limit reached!
% 0.69/0.43 % (3023731)------------------------------
% 0.69/0.43 % (3023731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023731)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023731)Termination reason: Instruction limit
% 0.69/0.43 % (3023731)Termination phase: SInE selection
% 0.69/0.43 % (3023731)Time elapsed: 0.011 s
% 0.69/0.43 % (3023731)Peak memory usage: 11 MB
% 0.69/0.43 % (3023731)Instructions burned: 25 (million)
% 0.69/0.43 % (3023741)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2000571285: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)
% 0.69/0.43 % (3023741)Instruction limit reached!
% 0.69/0.43 % (3023741)------------------------------
% 0.69/0.43 % (3023741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023741)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023741)Termination reason: Instruction limit
% 0.69/0.43 % (3023741)Termination phase: shuffling
% 0.69/0.43 % (3023741)Time elapsed: 0.001 s
% 0.69/0.43 % (3023741)Peak memory usage: 10 MB
% 0.69/0.43 % (3023741)Instructions burned: 2 (million)
% 0.69/0.43 % (3023729) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3023695-3023729"...
% 0.69/0.43 % (3023729)...printing done.
% 0.69/0.43 % (3023729)Refutation found. Thanks to Tanya!
% 0.69/0.43 % SZS status Theorem for theBenchmark
% 0.69/0.43 % SZS output start Proof for theBenchmark
% 0.69/0.43 thf(type_def_5, type, num: $tType).
% 0.69/0.43 thf(type_def_6, type, nat: $tType).
% 0.69/0.43 thf(type_def_7, type, int: $tType).
% 0.69/0.43 thf(type_def_8, type, itself: $tType > $tType).
% 0.69/0.43 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.69/0.43 thf(func_def_0, type, one: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_1, type, zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_2, type, numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_3, type, field: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_4, type, neg_numeral: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_5, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_6, type, monoid_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_7, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_8, type, zero_neq_one: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_9, type, semiring_char_0: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_10, type, zero_less_one: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_11, type, semiring_div: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_12, type, division_ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_13, type, semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_14, type, semidom_divide: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_15, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_16, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_17, type, ab_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_18, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_19, type, semiring_div_parity: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_20, type, cancel_semigroup_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_21, type, semiring_numeral_div: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_22, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_23, type, linord219039673up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_24, type, ordere779506340up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_25, type, linord1659791738miring: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_26, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_27, type, ordere236663937imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_28, type, ordere516151231imp_le: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.69/0.43 thf(func_def_29, type, one_one: !>[X0: $tType]:(X0)).
% 0.69/0.43 thf(func_def_30, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.69/0.43 thf(func_def_31, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.69/0.43 thf(func_def_32, type, neg_numeral_dbl: !>[X0: $tType]:((X0 > X0))).
% 0.69/0.43 thf(func_def_33, type, bit0: (num > num)).
% 0.69/0.43 thf(func_def_34, type, one2: num).
% 0.69/0.43 thf(func_def_35, type, numeral_numeral: !>[X0: $tType]:((num > X0))).
% 0.69/0.43 thf(func_def_36, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.69/0.43 thf(func_def_37, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.69/0.43 thf(func_def_38, type, type: !>[X0: $tType]:(itself @ X0)).
% 0.69/0.43 thf(func_def_39, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.69/0.43 thf(func_def_40, type, na: nat).
% 0.69/0.43 thf(func_def_44, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.69/0.43 thf(func_def_45, type, vNOT: ($o > $o)).
% 0.69/0.43 thf(func_def_46, type, vAND: ($o > $o > $o)).
% 0.69/0.43 thf(func_def_47, type, vIMP: ($o > $o > $o)).
% 0.69/0.43 thf(func_def_48, type, db0: !>[X0: $tType]:(X0)).
% 0.69/0.43 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.69/0.43 thf(func_def_50, type, vOR: ($o > $o > $o)).
% 0.69/0.43 thf(func_def_51, type, db1: !>[X0: $tType]:(X0)).
% 0.69/0.43 thf(func_def_52, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.69/0.43 thf(func_def_53, type, db2: !>[X0: $tType]:(X0)).
% 0.69/0.43 thf(func_def_54, type, sK0: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.69/0.43 thf(func_def_55, type, sK1: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.69/0.43 thf(func_def_56, type, sK2: ((nat > $o) > nat)).
% 0.69/0.43 thf(func_def_57, type, sK3: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.69/0.43 thf(func_def_58, type, sK4: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.69/0.43 thf(func_def_59, type, sK5: ((nat > $o) > nat > nat)).
% 0.69/0.43 thf(func_def_60, type, sK6: ((nat > $o) > nat)).
% 0.69/0.43 thf(func_def_61, type, sK7: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.69/0.43 thf(func_def_62, type, sK8: ((nat > $o) > nat)).
% 0.69/0.43 thf(func_def_63, type, sK9: ((nat > nat) > nat)).
% 0.69/0.43 thf(func_def_64, type, sK10: ((nat > nat) > nat)).
% 0.69/0.43 thf(f1,axiom,(
% 0.69/0.43 ~((na = one_one @ nat) | (na = zero_zero @ nat))),
% 0.69/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_ns)).
% 0.69/0.43 thf(f33,axiom,(
% 0.69/0.43 ! [X0 : nat] : ((X0 = zero_zero @ nat) = ((ord_less @ nat @ X0 @ one_one @ nat)))),
% 0.69/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_less__one)).
% 0.69/0.43 thf(f104,axiom,(
% 0.69/0.43 ! [X0 : nat,X1 : nat] : ((X0 != X1) => (~(ord_less @ nat @ X0 @ X1) => (ord_less @ nat @ X1 @ X0)))),
% 0.69/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_linorder__neqE__nat)).
% 0.69/0.43 thf(f149,axiom,(
% 0.69/0.43 ! [X0 : nat] : ((ord_less @ nat @ one_one @ nat @ X0) => (ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X0 @ (numeral_numeral @ nat @ (bit0 @ one2)))))),
% 0.69/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_div__2__gt__zero)).
% 0.69/0.43 thf(f301,conjecture,(
% 0.69/0.43 (ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2))))),
% 0.69/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.69/0.43 thf(f302,negated_conjecture,(
% 0.69/0.43 ~(ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2))))),
% 0.69/0.43 inference(negated_conjecture,[status(cth)],[f301])).
% 0.69/0.43 thf(f459,plain,(
% 0.69/0.43 ! [X0 : nat,X1 : nat] : ((X0 != X1) => (~(ord_less @ nat @ X0 @ X1) => (ord_less @ nat @ X1 @ X0)))),
% 0.69/0.43 inference(rectify,[],[f104])).
% 0.69/0.43 thf(f460,plain,(
% 0.69/0.43 ! [X0 : nat,X1 : nat] : ((X0 != X1) => (~ (((ord_less @ nat @ X0 @ X1)) = $true) => (((ord_less @ nat @ X1 @ X0)) = $true)))),
% 0.69/0.43 inference(fool_elimination,[],[f459])).
% 0.69/0.43 thf(f518,plain,(
% 0.69/0.43 ! [X0 : nat] : ((ord_less @ nat @ one_one @ nat @ X0) => (ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X0 @ (numeral_numeral @ nat @ (bit0 @ one2)))))),
% 0.69/0.43 inference(rectify,[],[f149])).
% 0.69/0.43 thf(f519,plain,(
% 0.69/0.43 ! [X0 : nat] : ((((ord_less @ nat @ one_one @ nat @ X0)) = $true) => (((ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X0 @ (numeral_numeral @ nat @ (bit0 @ one2))))) = $true))),
% 0.69/0.43 inference(fool_elimination,[],[f518])).
% 0.69/0.43 thf(f618,plain,(
% 0.69/0.43 ! [X0 : nat] : (((ord_less @ nat @ X0 @ one_one @ nat)) = ((zero_zero @ nat = X0)))),
% 0.69/0.43 inference(fool_elimination,[],[f33])).
% 0.69/0.43 thf(f794,plain,(
% 0.69/0.43 ~(ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2))))),
% 0.69/0.43 inference(rectify,[],[f302])).
% 0.69/0.43 thf(f795,plain,(
% 0.69/0.43 ~ (((ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2))))) = $true)),
% 0.69/0.43 inference(fool_elimination,[],[f794])).
% 0.69/0.43 thf(f876,plain,(
% 0.69/0.43 (((ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2))))) != $true)),
% 0.69/0.43 inference(flattening,[],[f795])).
% 0.69/0.43 thf(f887,plain,(
% 0.69/0.43 ! [X0 : nat,X1 : nat] : ((X0 != X1) => ((((ord_less @ nat @ X0 @ X1)) != $true) => (((ord_less @ nat @ X1 @ X0)) = $true)))),
% 0.69/0.43 inference(flattening,[],[f460])).
% 0.69/0.43 thf(f898,plain,(
% 0.69/0.43 ! [X0 : nat] : ((((ord_less @ nat @ one_one @ nat @ X0)) != $true) | (((ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X0 @ (numeral_numeral @ nat @ (bit0 @ one2))))) = $true))),
% 0.69/0.43 inference(ennf_transformation,[],[f519])).
% 0.69/0.43 thf(f910,plain,(
% 0.69/0.43 ! [X0 : nat,X1 : nat] : (((((ord_less @ nat @ X1 @ X0)) = $true) | (((ord_less @ nat @ X0 @ X1)) = $true)) | (X0 = X1))),
% 0.69/0.43 inference(ennf_transformation,[],[f887])).
% 0.69/0.43 thf(f911,plain,(
% 0.69/0.43 ! [X1 : nat,X0 : nat] : ((X0 = X1) | (((ord_less @ nat @ X0 @ X1)) = $true) | (((ord_less @ nat @ X1 @ X0)) = $true))),
% 0.69/0.43 inference(flattening,[],[f910])).
% 0.69/0.43 thf(f939,plain,(
% 0.69/0.43 (na != one_one @ nat) & (na != zero_zero @ nat)),
% 0.69/0.43 inference(ennf_transformation,[],[f1])).
% 0.69/0.43 thf(f957,plain,(
% 0.69/0.43 ! [X0 : nat,X1 : nat] : ((X0 = X1) | (((ord_less @ nat @ X1 @ X0)) = $true) | (((ord_less @ nat @ X0 @ X1)) = $true))),
% 0.69/0.43 inference(rectify,[],[f911])).
% 0.69/0.43 thf(f984,plain,(
% 0.69/0.43 ( ! [X0 : nat] : ((((ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ X0 @ (numeral_numeral @ nat @ (bit0 @ one2))))) = $true) | (((ord_less @ nat @ one_one @ nat @ X0)) != $true)) )),
% 0.69/0.43 inference(cnf_transformation,[],[f898])).
% 0.69/0.43 thf(f991,plain,(
% 0.69/0.43 ( ! [X0 : nat,X1 : nat] : ((((ord_less @ nat @ X1 @ X0)) = $true) | (((ord_less @ nat @ X0 @ X1)) = $true) | (X0 = X1)) )),
% 0.69/0.43 inference(cnf_transformation,[],[f957])).
% 0.69/0.43 thf(f1004,plain,(
% 0.69/0.43 (((ord_less @ nat @ zero_zero @ nat @ (divide_divide @ nat @ na @ (numeral_numeral @ nat @ (bit0 @ one2))))) != $true)),
% 0.69/0.43 inference(cnf_transformation,[],[f876])).
% 0.69/0.43 thf(f1012,plain,(
% 0.69/0.43 ( ! [X0 : nat] : ((((ord_less @ nat @ X0 @ one_one @ nat)) = ((zero_zero @ nat = X0)))) )),
% 0.69/0.43 inference(cnf_transformation,[],[f618])).
% 0.69/0.43 thf(f1033,plain,(
% 0.69/0.43 (na != zero_zero @ nat)),
% 0.69/0.43 inference(cnf_transformation,[],[f939])).
% 0.69/0.43 thf(f1034,plain,(
% 0.69/0.43 (na != one_one @ nat)),
% 0.69/0.43 inference(cnf_transformation,[],[f939])).
% 0.69/0.43 thf(f1080,plain,(
% 0.69/0.43 ($true != $true) | (((ord_less @ nat @ one_one @ nat @ na)) != $true)),
% 0.69/0.43 inference(superposition,[],[f1004,f984])).
% 0.69/0.43 thf(f1094,plain,(
% 0.69/0.43 (((ord_less @ nat @ one_one @ nat @ na)) != $true)),
% 0.69/0.43 inference(trivial_inequality_removal,[],[f1080])).
% 0.69/0.43 thf(f1121,plain,(
% 0.69/0.43 (na = one_one @ nat) | ($true = ((ord_less @ nat @ na @ one_one @ nat))) | ($true != $true)),
% 0.69/0.43 inference(superposition,[],[f1094,f991])).
% 0.69/0.43 thf(f1124,plain,(
% 0.69/0.43 ($true = ((ord_less @ nat @ na @ one_one @ nat))) | (na = one_one @ nat)),
% 0.69/0.43 inference(trivial_inequality_removal,[],[f1121])).
% 0.69/0.43 thf(f1127,plain,(
% 0.69/0.43 ($true = ((ord_less @ nat @ na @ one_one @ nat)))),
% 0.69/0.43 inference(forward_subsumption_resolution,[],[f1124,f1034])).
% 0.69/0.43 thf(f1129,plain,(
% 0.69/0.43 (((zero_zero @ nat = na)) = $true)),
% 0.69/0.43 inference(forward_demodulation,[],[f1127,f1012])).
% 0.69/0.43 thf(f1130,plain,(
% 0.69/0.43 (na = zero_zero @ nat)),
% 0.69/0.43 inference(equality_proxy_clausification,[],[f1129])).
% 0.69/0.43 thf(f1131,plain,(
% 0.69/0.43 $false),
% 0.69/0.43 inference(forward_subsumption_resolution,[],[f1130,f1033])).
% 0.69/0.43 % SZS output end Proof for theBenchmark
% 0.69/0.43 % (3023729)------------------------------
% 0.69/0.43 % (3023729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.43 % (3023729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.43 % (3023729)CaDiCaL version: 2.1.3
% 0.69/0.43 % (3023729)Termination reason: Refutation
% 0.69/0.43 % (3023729)Time elapsed: 0.025 s
% 0.69/0.43 % (3023729)Peak memory usage: 13 MB
% 0.69/0.43 % (3023729)Instructions burned: 49 (million)
% 0.69/0.43 % (3023695)Success in time 0.146 s
% 0.69/0.43 % Vampire exiting
%------------------------------------------------------------------------------