%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP401-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 : Tue Sep 29 10:17:42 AM UTC 2026
% Result : Unsatisfiable 33.91s 11.54s
% Output : Refutation 33.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 23 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 15 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP008-0.ax',associativity_of_multiply) ).
fof(f2,axiom,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X2,X1)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP008-1.ax',right_cancellation) ).
fof(f3,axiom,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X0,X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP008-1.ax',left_cancellation) ).
fof(f4,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(X0,commutator(X0,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutator) ).
fof(f5,axiom,
! [X2,X0,X1] : commutator(multiply(X0,X1),X2) = multiply(commutator(X0,X2),commutator(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutator_distributes_over_product) ).
fof(f6,negated_conjecture,
multiply(commutator(a,b),c) != multiply(c,commutator(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_nilpotency) ).
fof(f54,plain,
! [X0] : multiply(X0,multiply(commutator(a,b),c)) != multiply(X0,multiply(c,commutator(a,b))),
inference(unit_resulting_resolution,[],[f3,f6]) ).
fof(f102,plain,
! [X0,X1] : multiply(multiply(X0,multiply(commutator(a,b),c)),X1) != multiply(multiply(X0,multiply(c,commutator(a,b))),X1),
inference(unit_resulting_resolution,[],[f2,f54]) ).
fof(f113,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(commutator(a,b),c)),X2)) != multiply(X0,multiply(multiply(X1,multiply(c,commutator(a,b))),X2)),
inference(unit_resulting_resolution,[],[f3,f102]) ).
fof(f8364,plain,
! [X0,X1] : multiply(multiply(X0,multiply(c,commutator(a,b))),X1) != multiply(X1,multiply(multiply(X0,multiply(commutator(a,b),c)),commutator(multiply(X0,multiply(c,commutator(a,b))),X1))),
inference(superposition,[],[f113,f4]) ).
fof(f8365,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(multiply(X0,commutator(X0,X1)),X2)),
inference(superposition,[],[f1,f4]) ).
fof(f8903,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,multiply(commutator(X0,X1),X2))),
inference(forward_demodulation,[],[f8365,f1]) ).
fof(f8904,plain,
! [X0,X1] : multiply(multiply(X0,multiply(c,commutator(a,b))),X1) != multiply(X1,multiply(X0,multiply(multiply(commutator(a,b),c),commutator(multiply(X0,multiply(c,commutator(a,b))),X1)))),
inference(forward_demodulation,[],[f8364,f1]) ).
fof(f9169,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,multiply(commutator(X0,X1),X2))),
inference(forward_demodulation,[],[f8903,f1]) ).
fof(f9170,plain,
! [X0,X1] : multiply(multiply(X0,multiply(c,commutator(a,b))),X1) != multiply(X1,multiply(X0,multiply(commutator(a,b),multiply(c,commutator(multiply(X0,multiply(c,commutator(a,b))),X1))))),
inference(forward_demodulation,[],[f8904,f1]) ).
fof(f9432,plain,
! [X0,X1] : multiply(X0,multiply(multiply(c,commutator(a,b)),X1)) != multiply(X1,multiply(X0,multiply(commutator(a,b),multiply(c,commutator(multiply(X0,multiply(c,commutator(a,b))),X1))))),
inference(forward_demodulation,[],[f9170,f1]) ).
fof(f9689,plain,
! [X0,X1] : multiply(X0,multiply(c,multiply(commutator(a,b),X1))) != multiply(X1,multiply(X0,multiply(commutator(a,b),multiply(c,commutator(multiply(X0,multiply(c,commutator(a,b))),X1))))),
inference(forward_demodulation,[],[f9432,f1]) ).
fof(f18633,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X1) = multiply(X1,multiply(multiply(X0,X2),multiply(commutator(X0,X1),commutator(X2,X1)))),
inference(superposition,[],[f4,f5]) ).
fof(f18660,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X1) = multiply(X1,multiply(X0,multiply(X2,multiply(commutator(X0,X1),commutator(X2,X1))))),
inference(forward_demodulation,[],[f18633,f1]) ).
fof(f18679,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,multiply(X2,multiply(commutator(X0,X1),commutator(X2,X1))))) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[],[f18660,f1]) ).
fof(f50720,plain,
multiply(a,multiply(b,multiply(c,commutator(multiply(a,multiply(c,commutator(a,b))),b)))) != multiply(a,multiply(c,multiply(commutator(a,b),b))),
inference(superposition,[],[f9689,f9169]) ).
fof(f51868,plain,
multiply(a,multiply(c,multiply(commutator(a,b),b))) != multiply(a,multiply(b,multiply(c,multiply(commutator(a,b),commutator(multiply(c,commutator(a,b)),b))))),
inference(forward_demodulation,[],[f50720,f5]) ).
fof(f52193,plain,
multiply(a,multiply(c,multiply(commutator(a,b),b))) != multiply(a,multiply(b,multiply(c,multiply(commutator(a,b),multiply(commutator(c,b),commutator(commutator(a,b),b)))))),
inference(forward_demodulation,[],[f51868,f5]) ).
fof(f78625,plain,
multiply(a,multiply(c,multiply(commutator(a,b),b))) != multiply(a,multiply(c,multiply(commutator(a,b),b))),
inference(superposition,[],[f52193,f18679]) ).
fof(f78716,plain,
$false,
inference(trivial_inequality_removal,[],[f78625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP401-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:06:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.99/2.44 % (2389756)Will run a generic schedule for satisfiability detection.
% 13.99/2.44 % (2389765)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3567818600:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.99/2.44 % (2389762)% WARNING: option uhcvi not known.
% 13.99/2.44 % (2389761)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2098412651_2999 on theBenchmark for (2999ds/0Mi)
% 13.99/2.44 % (2389762)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3650178009:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.99/2.44 % (2389763)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3151358166:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.99/2.44 % (2389764)dis+10_1_sil=32000:sp=arity:random_seed=422334199:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.99/2.44 % (2389767)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2749940858:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.99/2.44 % (2389766)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2829366378:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.99/2.44 % TRYING [1]
% 13.99/2.44 % TRYING [2]
% 13.99/2.44 % TRYING [3]
% 13.99/2.44 % TRYING [4]
% 13.99/2.44 % TRYING [5]
% 13.99/2.44 % (2389765)Instruction limit reached!
% 13.99/2.44 % (2389765)------------------------------
% 13.99/2.44 % (2389765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.44 % (2389765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.44 % (2389765)CaDiCaL version: 2.1.3
% 13.99/2.44 % (2389765)Termination reason: Instruction limit
% 13.99/2.44 % (2389765)Termination phase: Saturation
% 13.99/2.44 % (2389765)Time elapsed: 0.038 s
% 13.99/2.44 % (2389765)Peak memory usage: 12 MB
% 13.99/2.44 % (2389765)Instructions burned: 116 (million)
% 13.99/2.44 % (2389775)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2609485021:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.99/2.44 % TRYING [1]
% 13.99/2.44 % TRYING [2]
% 13.99/2.44 % TRYING [3]
% 13.99/2.44 % TRYING [4]
% 13.99/2.44 % TRYING [5]
% 13.99/2.44 % (2389764)Instruction limit reached!
% 13.99/2.44 % (2389764)------------------------------
% 13.99/2.44 % (2389764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.44 % (2389764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.44 % (2389764)CaDiCaL version: 2.1.3
% 13.99/2.44 % (2389764)Termination reason: Instruction limit
% 13.99/2.44 % (2389764)Termination phase: Saturation
% 13.99/2.44 % (2389764)Time elapsed: 0.058 s
% 13.99/2.44 % (2389764)Peak memory usage: 11 MB
% 13.99/2.44 % (2389764)Instructions burned: 104 (million)
% 13.99/2.44 % TRYING [6]
% 13.99/2.44 % (2389777)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=293346354:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.99/2.44 % (2389766)Instruction limit reached!
% 13.99/2.44 % (2389766)------------------------------
% 13.99/2.44 % (2389766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.44 % (2389766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.44 % (2389766)CaDiCaL version: 2.1.3
% 13.99/2.44 % (2389766)Termination reason: Instruction limit
% 13.99/2.44 % (2389766)Termination phase: Saturation
% 13.99/2.44 % (2389766)Time elapsed: 0.082 s
% 13.99/2.44 % (2389766)Peak memory usage: 12 MB
% 13.99/2.44 % (2389766)Instructions burned: 132 (million)
% 13.99/2.44 % TRYING [6]
% 13.99/2.44 % (2389767)Instruction limit reached!
% 13.99/2.44 % (2389767)------------------------------
% 13.99/2.44 % (2389767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.44 % (2389767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.44 % (2389767)CaDiCaL version: 2.1.3
% 13.99/2.44 % (2389767)Termination reason: Instruction limit
% 13.99/2.44 % (2389767)Termination phase: Saturation
% 13.99/2.44 % (2389767)Time elapsed: 0.099 s
% 13.99/2.44 % (2389767)Peak memory usage: 13 MB
% 13.99/2.44 % (2389767)Instructions burned: 159 (million)
% 13.99/2.44 % (2389779)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=637011513:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.99/2.44 % (2389780)ott-21_1_sil=16000:fs=off:random_seed=755061548:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.99/2.44 % (2389777)Instruction limit reached!
% 13.99/2.44 % (2389777)------------------------------
% 13.99/2.44 % (2389777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.72/7.35 % (2389777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.72/7.35 % (2389777)CaDiCaL version: 2.1.3
% 48.72/7.35 % (2389777)Termination reason: Instruction limit
% 48.72/7.35 % (2389777)Termination phase: Saturation
% 48.72/7.35 % (2389777)Time elapsed: 0.088 s
% 48.72/7.35 % (2389777)Peak memory usage: 12 MB
% 48.72/7.35 % (2389777)Instructions burned: 131 (million)
% 48.72/7.35 % (2389783)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4211775678:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 48.72/7.35 % (2389780)Instruction limit reached!
% 48.72/7.35 % (2389780)------------------------------
% 48.72/7.35 % (2389780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.72/7.35 % (2389780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.72/7.35 % (2389780)CaDiCaL version: 2.1.3
% 48.72/7.35 % (2389780)Termination reason: Instruction limit
% 48.72/7.35 % (2389780)Termination phase: Saturation
% 48.72/7.35 % (2389780)Time elapsed: 0.091 s
% 48.72/7.35 % (2389780)Peak memory usage: 11 MB
% 48.72/7.35 % (2389780)Instructions burned: 182 (million)
% 48.72/7.35 % (2389785)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=220886093:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 48.72/7.35 % TRYING [1]
% 48.72/7.35 % TRYING [2]
% 48.72/7.35 % TRYING [3]
% 48.72/7.35 % TRYING [4]
% 48.72/7.35 % (2389775)Instruction limit reached!
% 48.72/7.35 % (2389775)------------------------------
% 48.72/7.35 % (2389775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.72/7.35 % (2389775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.72/7.35 % (2389775)CaDiCaL version: 2.1.3
% 48.72/7.35 % (2389775)Termination reason: Instruction limit
% 48.72/7.35 % (2389775)Termination phase: Finite model building SAT solving
% 48.72/7.35 % (2389775)Time elapsed: 0.207 s
% 48.72/7.35 % (2389775)Peak memory usage: 24 MB
% 48.72/7.35 % (2389775)Instructions burned: 717 (million)
% 48.72/7.35 % (2389787)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=458347090:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 48.72/7.35 % TRYING [5]
% 48.72/7.35 % TRYING [7]
% 48.72/7.35 % TRYING [6]
% 48.72/7.35 % (2389783)Instruction limit reached!
% 48.72/7.35 % (2389783)------------------------------
% 48.72/7.35 % (2389783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.72/7.35 % (2389783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.72/7.35 % (2389783)CaDiCaL version: 2.1.3
% 48.72/7.35 % (2389783)Termination reason: Instruction limit
% 48.72/7.35 % (2389783)Termination phase: Saturation
% 48.72/7.35 % (2389783)Time elapsed: 0.259 s
% 48.72/7.35 % (2389783)Peak memory usage: 14 MB
% 48.72/7.35 % (2389783)Instructions burned: 477 (million)
% 48.72/7.35 % (2389779)Instruction limit reached!
% 48.72/7.35 % (2389779)------------------------------
% 48.72/7.35 % (2389779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.72/7.35 % (2389779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.72/7.35 % (2389779)CaDiCaL version: 2.1.3
% 48.72/7.35 % (2389779)Termination reason: Instruction limit
% 48.72/7.35 % (2389779)Termination phase: Saturation
% 48.72/7.35 % (2389779)Time elapsed: 0.355 s
% 48.72/7.35 % (2389779)Peak memory usage: 15 MB
% 48.72/7.35 % (2389779)Instructions burned: 684 (million)
% 48.72/7.35 % (2389789)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2202515727:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 48.72/7.35 % (2389790)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3239082166:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 48.72/7.35 % TRYING [14]
% 48.72/7.35 % (2389785)Instruction limit reached!
% 48.72/7.35 % (2389785)------------------------------
% 48.72/7.35 % (2389785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.72/7.35 % (2389785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.72/7.35 % (2389785)CaDiCaL version: 2.1.3
% 48.72/7.35 % (2389785)Termination reason: Instruction limit
% 48.72/7.35 % (2389785)Termination phase: Finite model building SAT solving
% 48.72/7.35 % (2389785)Time elapsed: 0.335 s
% 48.72/7.35 % (2389785)Peak memory usage: 19 MB
% 48.72/7.35 % (2389785)Instructions burned: 865 (million)
% 48.72/7.35 % (2389793)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1914093983:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 33.91/11.53 % (2389787)Instruction limit reached!
% 33.91/11.53 % (2389787)------------------------------
% 33.91/11.53 % (2389787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389787)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389787)Termination reason: Instruction limit
% 33.91/11.53 % (2389787)Termination phase: Saturation
% 33.91/11.53 % (2389787)Time elapsed: 0.407 s
% 33.91/11.53 % (2389787)Peak memory usage: 21 MB
% 33.91/11.53 % (2389787)Instructions burned: 1180 (million)
% 33.91/11.53 % (2389795)fmb+10_1_sil=64000:random_seed=663367790:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 33.91/11.53 % TRYING [1]
% 33.91/11.53 % TRYING [2]
% 33.91/11.53 % TRYING [3]
% 33.91/11.53 % TRYING [4]
% 33.91/11.53 % TRYING [5]
% 33.91/11.53 % TRYING [6]
% 33.91/11.53 % (2389789)Instruction limit reached!
% 33.91/11.53 % (2389789)------------------------------
% 33.91/11.53 % (2389789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389789)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389789)Termination reason: Instruction limit
% 33.91/11.53 % (2389789)Termination phase: Finite model building constraint generation
% 33.91/11.53 % (2389789)Time elapsed: 0.326 s
% 33.91/11.53 % (2389789)Peak memory usage: 77 MB
% 33.91/11.53 % (2389789)Instructions burned: 892 (million)
% 33.91/11.53 % (2389797)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=996176355:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 33.91/11.53 % TRYING [20]
% 33.91/11.53 % (2389790)Instruction limit reached!
% 33.91/11.53 % (2389790)------------------------------
% 33.91/11.53 % (2389790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389790)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389790)Termination reason: Instruction limit
% 33.91/11.53 % (2389790)Termination phase: Saturation
% 33.91/11.53 % (2389790)Time elapsed: 0.400 s
% 33.91/11.53 % (2389790)Peak memory usage: 15 MB
% 33.91/11.53 % (2389790)Instructions burned: 693 (million)
% 33.91/11.53 % (2389799)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2806094541:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 33.91/11.53 % TRYING [8]
% 33.91/11.53 % TRYING [7]
% 33.91/11.53 % (2389793)Instruction limit reached!
% 33.91/11.53 % (2389793)------------------------------
% 33.91/11.53 % (2389793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389793)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389793)Termination reason: Instruction limit
% 33.91/11.53 % (2389793)Termination phase: Saturation
% 33.91/11.53 % (2389793)Time elapsed: 0.481 s
% 33.91/11.53 % (2389793)Peak memory usage: 18 MB
% 33.91/11.53 % (2389793)Instructions burned: 880 (million)
% 33.91/11.53 % (2389801)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2508980732:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 33.91/11.53 % (2389799)Instruction limit reached!
% 33.91/11.53 % (2389799)------------------------------
% 33.91/11.53 % (2389799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389799)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389799)Termination reason: Instruction limit
% 33.91/11.53 % (2389799)Termination phase: Finite model building SAT solving
% 33.91/11.53 % (2389799)Time elapsed: 0.450 s
% 33.91/11.53 % (2389799)Peak memory usage: 53 MB
% 33.91/11.53 % (2389799)Instructions burned: 921 (million)
% 33.91/11.53 % (2389803)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=909440354:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 33.91/11.53 % (2389803)Instruction limit reached!
% 33.91/11.53 % (2389803)------------------------------
% 33.91/11.53 % (2389803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389803)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389803)Termination reason: Instruction limit
% 33.91/11.53 % (2389803)Termination phase: Saturation
% 33.91/11.53 % (2389803)Time elapsed: 0.583 s
% 33.91/11.53 % (2389803)Peak memory usage: 18 MB
% 33.91/11.53 % (2389803)Instructions burned: 1473 (million)
% 33.91/11.53 % (2389805)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2370883181:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 33.91/11.53 % TRYING [77]
% 33.91/11.53 % TRYING [8]
% 33.91/11.53 % TRYING [8]
% 33.91/11.53 % (2389801)Instruction limit reached!
% 33.91/11.53 % (2389801)------------------------------
% 33.91/11.53 % (2389801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389801)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389801)Termination reason: Instruction limit
% 33.91/11.53 % (2389801)Termination phase: Saturation
% 33.91/11.53 % (2389801)Time elapsed: 2.853 s
% 33.91/11.53 % (2389801)Peak memory usage: 46 MB
% 33.91/11.53 % (2389801)Instructions burned: 5133 (million)
% 33.91/11.53 % (2389807)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=58363451:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 33.91/11.53 % TRYING [16]
% 33.91/11.53 % (2389797)Instruction limit reached!
% 33.91/11.53 % (2389797)------------------------------
% 33.91/11.53 % (2389797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389797)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389797)Termination reason: Instruction limit
% 33.91/11.53 % (2389797)Termination phase: Finite model building constraint generation
% 33.91/11.53 % (2389797)Time elapsed: 3.439 s
% 33.91/11.53 % (2389797)Peak memory usage: 666 MB
% 33.91/11.53 % (2389797)Instructions burned: 9515 (million)
% 33.91/11.53 % (2389805)Instruction limit reached!
% 33.91/11.53 % (2389805)------------------------------
% 33.91/11.53 % (2389805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389805)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389805)Termination reason: Instruction limit
% 33.91/11.53 % (2389805)Termination phase: Finite model building constraint generation
% 33.91/11.53 % (2389805)Time elapsed: 2.310 s
% 33.91/11.53 % (2389805)Peak memory usage: 422 MB
% 33.91/11.53 % (2389805)Instructions burned: 6324 (million)
% 33.91/11.53 % (2389809)ott-2_1_sil=16000:newcnf=on:random_seed=3737300792:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 33.91/11.53 % (2389810)ott+10_1_sil=32000:tgt=ground:random_seed=3856634392:i=5114:av=off_2956 on theBenchmark for (2956ds/5114Mi)
% 33.91/11.53 % (2389807)Instruction limit reached!
% 33.91/11.53 % (2389807)------------------------------
% 33.91/11.53 % (2389807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389807)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389807)Termination reason: Instruction limit
% 33.91/11.53 % (2389807)Termination phase: Finite model building constraint generation
% 33.91/11.53 % (2389807)Time elapsed: 0.727 s
% 33.91/11.53 % (2389807)Peak memory usage: 132 MB
% 33.91/11.53 % (2389807)Instructions burned: 2174 (million)
% 33.91/11.53 % (2389813)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=579393400:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 33.91/11.53 % TRYING [1]
% 33.91/11.53 % TRYING [2]
% 33.91/11.53 % TRYING [3]
% 33.91/11.53 % TRYING [4]
% 33.91/11.53 % TRYING [5]
% 33.91/11.53 % TRYING [6]
% 33.91/11.53 % (2389809)Instruction limit reached!
% 33.91/11.53 % (2389809)------------------------------
% 33.91/11.53 % (2389809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389809)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389809)Termination reason: Instruction limit
% 33.91/11.53 % (2389809)Termination phase: Saturation
% 33.91/11.53 % (2389809)Time elapsed: 0.545 s
% 33.91/11.53 % (2389809)Peak memory usage: 17 MB
% 33.91/11.53 % (2389809)Instructions burned: 870 (million)
% 33.91/11.53 % (2389815)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3102026515:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 33.91/11.53 % TRYING [7]
% 33.91/11.53 % TRYING [9]
% 33.91/11.53 % (2389815)Instruction limit reached!
% 33.91/11.53 % (2389815)------------------------------
% 33.91/11.53 % (2389815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.53 % (2389815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.53 % (2389815)CaDiCaL version: 2.1.3
% 33.91/11.53 % (2389815)Termination reason: Instruction limit
% 33.91/11.53 % (2389815)Termination phase: Saturation
% 33.91/11.53 % (2389815)Time elapsed: 1.932 s
% 33.91/11.53 % (2389815)Peak memory usage: 34 MB
% 33.91/11.53 % (2389815)Instructions burned: 3513 (million)
% 33.91/11.53 % (2389817)dis+21_1_sil=32000:sas=cadical:random_seed=4104224089:i=3773:amm=off_2930 on theBenchmark for (2930ds/3773Mi)
% 33.91/11.54 % TRYING [8]
% 33.91/11.54 % (2389795)Instruction limit reached!
% 33.91/11.54 % (2389795)------------------------------
% 33.91/11.54 % (2389795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.54 % (2389795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.54 % (2389795)CaDiCaL version: 2.1.3
% 33.91/11.54 % (2389795)Termination reason: Instruction limit
% 33.91/11.54 % (2389795)Termination phase: Finite model building SAT solving
% 33.91/11.54 % (2389795)Time elapsed: 6.615 s
% 33.91/11.54 % (2389795)Peak memory usage: 72 MB
% 33.91/11.54 % (2389795)Instructions burned: 22062 (million)
% 33.91/11.54 % (2389819)ott+11_1_sil=16000:gs=on:random_seed=2216688010:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2926 on theBenchmark for (2926ds/2251Mi)
% 33.91/11.54 % (2389810)Instruction limit reached!
% 33.91/11.54 % (2389810)------------------------------
% 33.91/11.54 % (2389810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.54 % (2389810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.54 % (2389810)CaDiCaL version: 2.1.3
% 33.91/11.54 % (2389810)Termination reason: Instruction limit
% 33.91/11.54 % (2389810)Termination phase: Saturation
% 33.91/11.54 % (2389810)Time elapsed: 3.498 s
% 33.91/11.54 % (2389810)Peak memory usage: 51 MB
% 33.91/11.54 % (2389810)Instructions burned: 5115 (million)
% 33.91/11.54 % (2389821)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2851643267:fmbsr=1.6:i=67534_2920 on theBenchmark for (2920ds/67534Mi)
% 33.91/11.54 % TRYING [7]
% 33.91/11.54 % (2389819)Instruction limit reached!
% 33.91/11.54 % (2389819)------------------------------
% 33.91/11.54 % (2389819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.54 % (2389819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.54 % (2389819)CaDiCaL version: 2.1.3
% 33.91/11.54 % (2389819)Termination reason: Instruction limit
% 33.91/11.54 % (2389819)Termination phase: Saturation
% 33.91/11.54 % (2389819)Time elapsed: 0.742 s
% 33.91/11.54 % (2389819)Peak memory usage: 26 MB
% 33.91/11.54 % (2389819)Instructions burned: 2251 (million)
% 33.91/11.54 % (2389823)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3011747204:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2919 on theBenchmark for (2919ds/4591Mi)
% 33.91/11.54 % TRYING [9]
% 33.91/11.54 % (2389817)Instruction limit reached!
% 33.91/11.54 % (2389817)------------------------------
% 33.91/11.54 % (2389817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.54 % (2389817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.54 % (2389817)CaDiCaL version: 2.1.3
% 33.91/11.54 % (2389817)Termination reason: Instruction limit
% 33.91/11.54 % (2389817)Termination phase: Saturation
% 33.91/11.54 % (2389817)Time elapsed: 2.090 s
% 33.91/11.54 % (2389817)Peak memory usage: 36 MB
% 33.91/11.54 % (2389817)Instructions burned: 3773 (million)
% 33.91/11.54 % (2389825)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3164550562:i=29340_2909 on theBenchmark for (2909ds/29340Mi)
% 33.91/11.54 % (2389823)Instruction limit reached!
% 33.91/11.54 % (2389823)------------------------------
% 33.91/11.54 % (2389823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.54 % (2389823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.54 % (2389823)CaDiCaL version: 2.1.3
% 33.91/11.54 % (2389823)Termination reason: Instruction limit
% 33.91/11.54 % (2389823)Termination phase: Saturation
% 33.91/11.54 % (2389823)Time elapsed: 1.478 s
% 33.91/11.54 % (2389823)Peak memory usage: 58 MB
% 33.91/11.54 % (2389823)Instructions burned: 4593 (million)
% 33.91/11.54 % (2389827)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2430679431:i=5211_2904 on theBenchmark for (2904ds/5211Mi)
% 33.91/11.54 % TRYING [8]
% 33.91/11.54 % (2389825) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2389756-2389825"...
% 33.91/11.54 % (2389825)...printing done.
% 33.91/11.54 % (2389825)Refutation found. Thanks to Tanya!
% 33.91/11.54 % SZS status Unsatisfiable for theBenchmark
% 33.91/11.54 % SZS output start Proof for theBenchmark
% See solution above
% 33.91/11.54 % (2389825)------------------------------
% 33.91/11.54 % (2389825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.91/11.54 % (2389825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.91/11.54 % (2389825)CaDiCaL version: 2.1.3
% 33.91/11.54 % (2389825)Termination reason: Refutation
% 33.91/11.54 % (2389825)Time elapsed: 2.012 s
% 33.91/11.54 % (2389825)Peak memory usage: 54 MB
% 33.91/11.54 % (2389825)Instructions burned: 4192 (million)
% 33.91/11.54 % (2389756)Success in time 11.114 s
% 33.91/11.54 % Vampire exiting
%------------------------------------------------------------------------------