%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP437-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:49 AM UTC 2026
% Result : Unsatisfiable 19.81s 3.29s
% Output : Refutation 19.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 216 ( 216 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X0,X3))),inverse(X4))),multiply(X4,multiply(X0,X1))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X0,X4))),X3)))) = multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X0)),inverse(X6))),multiply(X6,multiply(X3,X1))))),
inference(superposition,[],[f5,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X0,X3))),inverse(X2))) = multiply(X1,inverse(multiply(multiply(X2,multiply(X0,inverse(X5))),multiply(X5,multiply(X3,X1))))),
inference(superposition,[],[f5,f1]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))),inverse(X2))) = X0,
inference(superposition,[],[f9,f5]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),inverse(multiply(X4,multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0)))))))) = X2,
inference(superposition,[],[f1,f9]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X5,multiply(X4,inverse(X2))) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X0,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X0))),inverse(X5)))))),inverse(X2))),
inference(superposition,[],[f38,f5]) ).
fof(f92,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X0,multiply(X1,multiply(X3,inverse(X2)))))),X0))) = X3,
inference(superposition,[],[f43,f1]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))) = multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X4,X0))),X4))),
inference(superposition,[],[f92,f38]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),inverse(multiply(X2,multiply(X3,multiply(X0,inverse(X4)))))) = multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X0,X1))))),
inference(superposition,[],[f1,f92]) ).
fof(f160,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))),X1))) = X3,
inference(superposition,[],[f92,f118]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X0,multiply(X3,inverse(multiply(X4,multiply(X2,multiply(X0,X3)))))))),inverse(X2))) = X4,
inference(superposition,[],[f38,f160]) ).
fof(f1047,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X6,X3))),X6)) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X5),inverse(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))))),inverse(X0)))),inverse(X5))),
inference(superposition,[],[f38,f111]) ).
fof(f1058,plain,
! [X2,X3,X1,X6] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X6,X3))),X6)),
inference(forward_demodulation,[],[f1047,f38]) ).
fof(f1091,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X0,X2)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X4,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X0,X2))),inverse(X1)))))),X4)),
inference(superposition,[],[f1058,f1]) ).
fof(f1431,plain,
! [X0,X6,X4,X5] : inverse(X0) = inverse(multiply(multiply(inverse(X4),inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),inverse(X0)),inverse(X4)))))),X5)),
inference(superposition,[],[f1091,f1]) ).
fof(f1617,plain,
! [X2,X3,X0,X1] : inverse(X3) = inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1)),
inference(superposition,[],[f1431,f118]) ).
fof(f1785,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X0)),multiply(X3,inverse(multiply(multiply(X1,multiply(X4,X2)),multiply(X5,multiply(multiply(inverse(X5),inverse(X0)),X3)))))))) = X4,
inference(superposition,[],[f160,f1617]) ).
fof(f7598,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X7,multiply(X8,multiply(multiply(inverse(X8),inverse(multiply(X4,X7))),inverse(X0)))))),inverse(X5))) = multiply(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X1))))),X2),multiply(X4,inverse(X5))),
inference(superposition,[],[f63,f1617]) ).
fof(f7851,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(X4,inverse(X5))) = multiply(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X1))))),X2),multiply(X4,inverse(X5))),
inference(forward_demodulation,[],[f7598,f63]) ).
fof(f8180,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X6,inverse(multiply(X7,multiply(X8,multiply(multiply(inverse(X8),inverse(X0)),X6))))),X7) = multiply(inverse(X3),inverse(multiply(multiply(multiply(X1,inverse(X2)),inverse(X4)),multiply(X5,inverse(multiply(multiply(X3,multiply(X0,multiply(X1,inverse(X2)))),multiply(X9,multiply(multiply(inverse(X9),inverse(X4)),X5)))))))),
inference(superposition,[],[f1785,f7851]) ).
fof(f8185,plain,
! [X0,X8,X6,X7] : multiply(multiply(X6,inverse(multiply(X7,multiply(X8,multiply(multiply(inverse(X8),inverse(X0)),X6))))),X7) = X0,
inference(forward_demodulation,[],[f8180,f1785]) ).
fof(f8393,plain,
! [X2,X0,X1,X4] : multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X2) = multiply(multiply(inverse(X1),inverse(multiply(X4,X0))),X4),
inference(superposition,[],[f8185,f38]) ).
fof(f8849,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(multiply(X2,multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),X1))))) = X3,
inference(superposition,[],[f1,f8393]) ).
fof(f9349,plain,
! [X2,X0,X1] : multiply(X1,multiply(inverse(X1),inverse(X2))) = multiply(X0,multiply(inverse(X0),inverse(X2))),
inference(superposition,[],[f63,f8849]) ).
fof(f9518,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(X1),inverse(X0)),X0)) = inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))))),X2)),
inference(superposition,[],[f1058,f8849]) ).
fof(f9534,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X1),inverse(X0)),X0) = multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))))),X2),
inference(superposition,[],[f8393,f8849]) ).
fof(f9535,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),inverse(X0)),X0) = multiply(multiply(inverse(X1),inverse(X2)),X2),
inference(forward_demodulation,[],[f9534,f8849]) ).
fof(f9539,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X1),inverse(X0)),X0)) = inverse(multiply(multiply(inverse(X1),inverse(X2)),X2)),
inference(forward_demodulation,[],[f9518,f8849]) ).
fof(f9687,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(X0)) = multiply(X1,multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X4)))))),
inference(superposition,[],[f9349,f8849]) ).
fof(f9928,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f9687,f8849]) ).
fof(f10359,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X3),inverse(multiply(X3,multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),X1))))) = X2,
inference(superposition,[],[f1,f9535]) ).
fof(f19870,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,X0),X1))),X3)))) = X0,
inference(superposition,[],[f7,f5]) ).
fof(f20561,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X1,inverse(multiply(X0,multiply(X2,multiply(multiply(inverse(X2),X3),X1))))),X0)) = X3,
inference(superposition,[],[f19870,f225]) ).
fof(f20744,plain,
! [X0,X6,X4,X5] : multiply(multiply(X0,inverse(multiply(X4,X5))),X4) = multiply(multiply(X0,inverse(multiply(X6,X5))),X6),
inference(superposition,[],[f8393,f19870]) ).
fof(f24331,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(multiply(X1,X2),inverse(multiply(X3,X2))),X3),
inference(superposition,[],[f20744,f9928]) ).
fof(f29953,plain,
! [X2,X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),X2)),
inference(superposition,[],[f10359,f9928]) ).
fof(f30645,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),inverse(multiply(X2,multiply(X0,inverse(X0))))) = X1,
inference(superposition,[],[f1,f29953]) ).
fof(f30660,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(multiply(X2,multiply(X0,inverse(X0))))),X2) = X1,
inference(superposition,[],[f8185,f29953]) ).
fof(f31427,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X3,inverse(X3))) = multiply(multiply(X1,inverse(multiply(X2,multiply(X0,inverse(X0))))),X2),
inference(superposition,[],[f8185,f30660]) ).
fof(f31668,plain,
! [X3,X1] : multiply(X1,multiply(X3,inverse(X3))) = X1,
inference(forward_demodulation,[],[f31427,f30660]) ).
fof(f31929,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(superposition,[],[f30645,f31668]) ).
fof(f31930,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f30660,f31668]) ).
fof(f32028,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = multiply(multiply(X0,inverse(multiply(X3,multiply(X2,inverse(X2))))),X3),
inference(superposition,[],[f24331,f31668]) ).
fof(f32037,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(forward_demodulation,[],[f32028,f30660]) ).
fof(f32244,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,inverse(X0))))),X2)) = X1,
inference(superposition,[],[f20561,f31929]) ).
fof(f32366,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f32244,f30660]) ).
fof(f33222,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(multiply(inverse(X0),inverse(X2)),X2),inverse(multiply(multiply(inverse(X0),inverse(X1)),X1))),X3) = X3,
inference(superposition,[],[f32037,f9539]) ).
fof(f34025,plain,
! [X2,X3,X0] : multiply(multiply(multiply(multiply(inverse(X0),inverse(X2)),X2),inverse(inverse(X0))),X3) = X3,
inference(forward_demodulation,[],[f33222,f31930]) ).
fof(f34067,plain,
! [X2,X3,X0] : multiply(multiply(multiply(multiply(inverse(X0),inverse(X2)),X2),X0),X3) = X3,
inference(forward_demodulation,[],[f34025,f32366]) ).
fof(f34077,plain,
! [X3,X0] : multiply(multiply(inverse(X0),X0),X3) = X3,
inference(forward_demodulation,[],[f34067,f31930]) ).
fof(f34256,plain,
a2 != a2,
inference(superposition,[],[f3,f34077]) ).
fof(f34618,plain,
$false,
inference(trivial_inequality_removal,[],[f34256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP437-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:08:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.81/3.20 % (1423915)Will run a generic schedule for satisfiability detection.
% 19.81/3.20 % (1423925)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=857382712:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 19.81/3.20 % (1423921)% WARNING: option uhcvi not known.
% 19.81/3.20 % (1423920)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2729166235_2999 on theBenchmark for (2999ds/0Mi)
% 19.81/3.20 % (1423922)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2200886728:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 19.81/3.20 % (1423924)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=323802153:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 19.81/3.20 % (1423923)dis+10_1_sil=32000:sp=arity:random_seed=895240844:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 19.81/3.20 % (1423926)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2312386390:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 19.81/3.20 % TRYING [1]
% 19.81/3.20 % TRYING [2]
% 19.81/3.20 % (1423921)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2909133113:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 19.81/3.20 % TRYING [3]
% 19.81/3.20 % (1423925)Instruction limit reached!
% 19.81/3.20 % (1423925)------------------------------
% 19.81/3.20 % (1423925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.20 % (1423925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.20 % (1423925)CaDiCaL version: 2.1.3
% 19.81/3.20 % (1423925)Termination reason: Instruction limit
% 19.81/3.20 % (1423925)Termination phase: Saturation
% 19.81/3.20 % (1423925)Time elapsed: 0.042 s
% 19.81/3.20 % (1423925)Peak memory usage: 13 MB
% 19.81/3.20 % (1423925)Instructions burned: 134 (million)
% 19.81/3.20 % TRYING [4]
% 19.81/3.20 % (1423934)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3976709653:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 19.81/3.20 % TRYING [1]
% 19.81/3.20 % TRYING [2]
% 19.81/3.20 % TRYING [3]
% 19.81/3.20 % (1423923)Instruction limit reached!
% 19.81/3.20 % (1423923)------------------------------
% 19.81/3.20 % (1423923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.20 % (1423923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.20 % (1423923)CaDiCaL version: 2.1.3
% 19.81/3.20 % (1423923)Termination reason: Instruction limit
% 19.81/3.20 % (1423923)Termination phase: Saturation
% 19.81/3.20 % (1423923)Time elapsed: 0.057 s
% 19.81/3.20 % (1423923)Peak memory usage: 12 MB
% 19.81/3.20 % (1423923)Instructions burned: 104 (million)
% 19.81/3.20 % (1423924)Instruction limit reached!
% 19.81/3.20 % (1423924)------------------------------
% 19.81/3.20 % (1423924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.20 % (1423924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.20 % (1423924)CaDiCaL version: 2.1.3
% 19.81/3.20 % (1423924)Termination reason: Instruction limit
% 19.81/3.20 % (1423924)Termination phase: Saturation
% 19.81/3.20 % (1423924)Time elapsed: 0.069 s
% 19.81/3.20 % (1423924)Peak memory usage: 13 MB
% 19.81/3.20 % (1423924)Instructions burned: 117 (million)
% 19.81/3.20 % TRYING [4]
% 19.81/3.20 % (1423936)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2497451260:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 19.81/3.20 % (1423937)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=4008045228:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 19.81/3.20 % (1423926)Instruction limit reached!
% 19.81/3.20 % (1423926)------------------------------
% 19.81/3.20 % (1423926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.20 % (1423926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.20 % (1423926)CaDiCaL version: 2.1.3
% 19.81/3.20 % (1423926)Termination reason: Instruction limit
% 19.81/3.20 % (1423926)Termination phase: Saturation
% 19.81/3.20 % (1423926)Time elapsed: 0.099 s
% 19.81/3.20 % (1423926)Peak memory usage: 13 MB
% 19.81/3.20 % (1423926)Instructions burned: 159 (million)
% 19.81/3.20 % (1423940)ott-21_1_sil=16000:fs=off:random_seed=1052884403:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 19.81/3.20 % (1423936)Instruction limit reached!
% 19.81/3.20 % (1423936)------------------------------
% 19.81/3.20 % (1423936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.20 % (1423936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423936)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423936)Termination reason: Instruction limit
% 19.81/3.29 % (1423936)Termination phase: Saturation
% 19.81/3.29 % (1423936)Time elapsed: 0.076 s
% 19.81/3.29 % (1423936)Peak memory usage: 13 MB
% 19.81/3.29 % (1423936)Instructions burned: 133 (million)
% 19.81/3.29 % (1423942)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1371136447:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 19.81/3.29 % (1423940)Instruction limit reached!
% 19.81/3.29 % (1423940)------------------------------
% 19.81/3.29 % (1423940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423940)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423940)Termination reason: Instruction limit
% 19.81/3.29 % (1423940)Termination phase: Saturation
% 19.81/3.29 % (1423940)Time elapsed: 0.094 s
% 19.81/3.29 % (1423940)Peak memory usage: 12 MB
% 19.81/3.29 % (1423940)Instructions burned: 182 (million)
% 19.81/3.29 % (1423944)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3624432993:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 19.81/3.29 % TRYING [1]
% 19.81/3.29 % TRYING [2]
% 19.81/3.29 % TRYING [3]
% 19.81/3.29 % TRYING [4]
% 19.81/3.29 % (1423934)Instruction limit reached!
% 19.81/3.29 % (1423934)------------------------------
% 19.81/3.29 % (1423934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423934)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423934)Termination reason: Instruction limit
% 19.81/3.29 % (1423934)Termination phase: Finite model building SAT solving
% 19.81/3.29 % (1423934)Time elapsed: 0.225 s
% 19.81/3.29 % (1423934)Peak memory usage: 13 MB
% 19.81/3.29 % (1423934)Instructions burned: 716 (million)
% 19.81/3.29 % (1423946)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=169753718:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 19.81/3.29 % (1423942)Instruction limit reached!
% 19.81/3.29 % (1423942)------------------------------
% 19.81/3.29 % (1423942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423942)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423942)Termination reason: Instruction limit
% 19.81/3.29 % (1423942)Termination phase: Saturation
% 19.81/3.29 % (1423942)Time elapsed: 0.246 s
% 19.81/3.29 % (1423942)Peak memory usage: 15 MB
% 19.81/3.29 % (1423942)Instructions burned: 478 (million)
% 19.81/3.29 % (1423948)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2925950066:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 19.81/3.29 % (1423937)Instruction limit reached!
% 19.81/3.29 % (1423937)------------------------------
% 19.81/3.29 % (1423937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423937)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423937)Termination reason: Instruction limit
% 19.81/3.29 % (1423937)Termination phase: Saturation
% 19.81/3.29 % (1423937)Time elapsed: 0.353 s
% 19.81/3.29 % (1423937)Peak memory usage: 19 MB
% 19.81/3.29 % (1423937)Instructions burned: 684 (million)
% 19.81/3.29 % (1423950)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=2755553029: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)
% 19.81/3.29 % TRYING [14]
% 19.81/3.29 % (1423946)Instruction limit reached!
% 19.81/3.29 % (1423946)------------------------------
% 19.81/3.29 % (1423946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423946)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423946)Termination reason: Instruction limit
% 19.81/3.29 % (1423946)Termination phase: Saturation
% 19.81/3.29 % (1423946)Time elapsed: 0.341 s
% 19.81/3.29 % (1423946)Peak memory usage: 24 MB
% 19.81/3.29 % (1423946)Instructions burned: 1180 (million)
% 19.81/3.29 % (1423952)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3701745761:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 19.81/3.29 % (1423948)Instruction limit reached!
% 19.81/3.29 % (1423948)------------------------------
% 19.81/3.29 % (1423948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423948)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423948)Termination reason: Instruction limit
% 19.81/3.29 % (1423948)Termination phase: Finite model building constraint generation
% 19.81/3.29 % (1423948)Time elapsed: 0.322 s
% 19.81/3.29 % (1423948)Peak memory usage: 78 MB
% 19.81/3.29 % (1423948)Instructions burned: 890 (million)
% 19.81/3.29 % (1423954)fmb+10_1_sil=64000:random_seed=2729197013:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 19.81/3.29 % TRYING [1]
% 19.81/3.29 % TRYING [2]
% 19.81/3.29 % TRYING [3]
% 19.81/3.29 % (1423944)Instruction limit reached!
% 19.81/3.29 % (1423944)------------------------------
% 19.81/3.29 % (1423944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423944)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423944)Termination reason: Instruction limit
% 19.81/3.29 % (1423944)Termination phase: Finite model building SAT solving
% 19.81/3.29 % (1423944)Time elapsed: 0.565 s
% 19.81/3.29 % (1423944)Peak memory usage: 12 MB
% 19.81/3.29 % (1423944)Instructions burned: 866 (million)
% 19.81/3.29 % TRYING [4]
% 19.81/3.29 % (1423956)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1141565195:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 19.81/3.29 % TRYING [20]
% 19.81/3.29 % (1423952)Instruction limit reached!
% 19.81/3.29 % (1423952)------------------------------
% 19.81/3.29 % (1423952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423952)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423952)Termination reason: Instruction limit
% 19.81/3.29 % (1423952)Termination phase: Saturation
% 19.81/3.29 % (1423952)Time elapsed: 0.237 s
% 19.81/3.29 % (1423952)Peak memory usage: 19 MB
% 19.81/3.29 % (1423952)Instructions burned: 880 (million)
% 19.81/3.29 % (1423958)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2427056037:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 19.81/3.29 % TRYING [8]
% 19.81/3.29 % (1423950)Instruction limit reached!
% 19.81/3.29 % (1423950)------------------------------
% 19.81/3.29 % (1423950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423950)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423950)Termination reason: Instruction limit
% 19.81/3.29 % (1423950)Termination phase: Saturation
% 19.81/3.29 % (1423950)Time elapsed: 0.424 s
% 19.81/3.29 % (1423950)Peak memory usage: 19 MB
% 19.81/3.29 % (1423950)Instructions burned: 693 (million)
% 19.81/3.29 % (1423960)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3846839957:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 19.81/3.29 % (1423958)Instruction limit reached!
% 19.81/3.29 % (1423958)------------------------------
% 19.81/3.29 % (1423958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423958)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423958)Termination reason: Instruction limit
% 19.81/3.29 % (1423958)Termination phase: Finite model building SAT solving
% 19.81/3.29 % (1423958)Time elapsed: 0.256 s
% 19.81/3.29 % (1423958)Peak memory usage: 44 MB
% 19.81/3.29 % (1423958)Instructions burned: 922 (million)
% 19.81/3.29 % (1423962)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1688739767:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 19.81/3.29 % (1423962)Instruction limit reached!
% 19.81/3.29 % (1423962)------------------------------
% 19.81/3.29 % (1423962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423962)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423962)Termination reason: Instruction limit
% 19.81/3.29 % (1423962)Termination phase: Saturation
% 19.81/3.29 % (1423962)Time elapsed: 0.348 s
% 19.81/3.29 % (1423962)Peak memory usage: 25 MB
% 19.81/3.29 % (1423962)Instructions burned: 1473 (million)
% 19.81/3.29 % (1423964)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1873358137:i=6324_2984 on theBenchmark for (2984ds/6324Mi)
% 19.81/3.29 % TRYING [77]
% 19.81/3.29 % TRYING [5]
% 19.81/3.29 % TRYING [5]
% 19.81/3.29 % (1423922) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1423915-1423922"...
% 19.81/3.29 % (1423922)...printing done.
% 19.81/3.29 % (1423922)Refutation found. Thanks to Tanya!
% 19.81/3.29 % SZS status Unsatisfiable for theBenchmark
% 19.81/3.29 % SZS output start Proof for theBenchmark
% See solution above
% 19.81/3.29 % (1423922)------------------------------
% 19.81/3.29 % (1423922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.29 % (1423922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.29 % (1423922)CaDiCaL version: 2.1.3
% 19.81/3.29 % (1423922)Termination reason: Refutation
% 19.81/3.29 % (1423922)Time elapsed: 2.770 s
% 19.81/3.29 % (1423922)Peak memory usage: 48 MB
% 19.81/3.29 % (1423922)Instructions burned: 7201 (million)
% 19.81/3.29 % (1423915)Success in time 2.884 s
% 19.81/3.29 % Vampire exiting
%------------------------------------------------------------------------------