%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP441-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 10:17:50 AM UTC 2026
% Result : Unsatisfiable 14.21s 4.26s
% Output : Refutation 14.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 2
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 15 ( 3 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 : 229 ( 229 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X1,multiply(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X0,multiply(X2,X4)))))),multiply(multiply(X0,X5),inverse(multiply(X6,multiply(X1,X5))))))) = X6,
inference(superposition,[],[f1,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),X3),inverse(multiply(X0,multiply(X4,X3))))),X0)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X3),X4),inverse(multiply(X0,multiply(X5,X4))))),X0)),X5)))) = X3,
inference(superposition,[],[f4,f1]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(X3,multiply(X6,X8)))))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(X3,X4),inverse(multiply(X0,multiply(X5,X4))))),X0)),X5)))),
inference(superposition,[],[f4,f3]) ).
fof(f795,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),multiply(X1,X3)))))) = X0,
inference(superposition,[],[f43,f9]) ).
fof(f796,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))) = multiply(X4,multiply(X5,multiply(multiply(inverse(X5),X6),inverse(multiply(X3,multiply(X4,X6)))))),
inference(superposition,[],[f43,f43]) ).
fof(f801,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5))))) = X2,
inference(superposition,[],[f1,f43]) ).
fof(f936,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X2,multiply(X0,inverse(multiply(inverse(X5),multiply(X1,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X0),multiply(inverse(X2),X4))))))))))) = X5,
inference(superposition,[],[f795,f795]) ).
fof(f956,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(inverse(X3)),X4),inverse(multiply(X5,multiply(X0,X4))))),X5)),X0))) = X3,
inference(superposition,[],[f795,f4]) ).
fof(f1508,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(X0,inverse(multiply(inverse(X2),X0))))) = X2,
inference(superposition,[],[f936,f795]) ).
fof(f1623,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(inverse(X0),X3)))),inverse(X0)))) = X2,
inference(superposition,[],[f1508,f1508]) ).
fof(f1642,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X0),X3)))),inverse(X0)))) = X1,
inference(superposition,[],[f795,f1508]) ).
fof(f1786,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(X0,X3)))),X0))) = X2,
inference(superposition,[],[f1623,f1]) ).
fof(f2178,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X0,multiply(inverse(X0),inverse(multiply(X5,multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X4),X3)))),inverse(X4)))))))))) = X5,
inference(superposition,[],[f1,f1642]) ).
fof(f2195,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X0,multiply(inverse(X0),inverse(multiply(inverse(X5),multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X4),X3)))),inverse(X4))))))))) = X5,
inference(superposition,[],[f795,f1642]) ).
fof(f2239,plain,
! [X0,X1,X5] : multiply(X1,multiply(X0,multiply(inverse(X0),inverse(multiply(inverse(X5),X1))))) = X5,
inference(forward_demodulation,[],[f2195,f1642]) ).
fof(f2256,plain,
! [X0,X1,X5] : inverse(multiply(X1,multiply(X0,multiply(inverse(X0),inverse(multiply(X5,X1)))))) = X5,
inference(forward_demodulation,[],[f2178,f1642]) ).
fof(f2321,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X2)))),multiply(X3,multiply(inverse(X3),inverse(X0)))) = X1,
inference(superposition,[],[f2239,f1508]) ).
fof(f2323,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X1,multiply(multiply(X0,multiply(X2,inverse(multiply(X3,X2)))),X3)),multiply(X4,multiply(inverse(X4),inverse(X0)))) = X1,
inference(superposition,[],[f2239,f1786]) ).
fof(f2472,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X1,multiply(inverse(X1),inverse(multiply(X0,X2)))),multiply(X3,multiply(inverse(X3),X0)))) = X2,
inference(superposition,[],[f2256,f2256]) ).
fof(f3141,plain,
! [X2,X0,X1,X6] : multiply(multiply(X1,multiply(X2,inverse(multiply(X0,X2)))),multiply(X6,multiply(inverse(X6),X0))) = X1,
inference(superposition,[],[f2321,f1]) ).
fof(f3289,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(inverse(X3)),inverse(multiply(inverse(X0),X3))),X2)))),X0) = X1,
inference(superposition,[],[f3141,f2239]) ).
fof(f4870,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))) = inverse(inverse(multiply(X1,multiply(X0,inverse(X0))))),
inference(superposition,[],[f801,f2323]) ).
fof(f4984,plain,
! [X3,X0,X1] : inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))) = inverse(inverse(multiply(X0,multiply(X3,inverse(X3))))),
inference(superposition,[],[f4870,f4870]) ).
fof(f5007,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))) = multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))),
inference(superposition,[],[f4870,f4870]) ).
fof(f5359,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X0,multiply(X4,inverse(X4))) = multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(multiply(inverse(X2),multiply(multiply(inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7))),
inference(superposition,[],[f956,f4984]) ).
fof(f5464,plain,
! [X0,X1,X4] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X4,inverse(X4))),
inference(forward_demodulation,[],[f5359,f956]) ).
fof(f5759,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(X2,multiply(inverse(X2),inverse(multiply(X0,multiply(X1,inverse(X1)))))),multiply(X4,multiply(inverse(X4),X0)))),
inference(superposition,[],[f2472,f5464]) ).
fof(f5836,plain,
! [X3,X1] : multiply(X1,inverse(X1)) = multiply(X3,inverse(X3)),
inference(forward_demodulation,[],[f5759,f2472]) ).
fof(f5932,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),multiply(X2,multiply(inverse(X2),inverse(multiply(X0,inverse(X0))))))) = X1,
inference(superposition,[],[f2256,f5836]) ).
fof(f5965,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X1)),multiply(X2,multiply(inverse(X2),inverse(multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f2239,f5836]) ).
fof(f7893,plain,
! [X0,X1,X7] : multiply(X7,multiply(inverse(X7),X0)) = multiply(X1,multiply(inverse(X1),X0)),
inference(superposition,[],[f5007,f801]) ).
fof(f8179,plain,
! [X2,X3,X0,X1] : multiply(X1,X0) = multiply(X3,multiply(inverse(X3),multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X2)))))),
inference(superposition,[],[f7893,f1508]) ).
fof(f8384,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(X2,X1)))))) = X2,
inference(superposition,[],[f2256,f7893]) ).
fof(f11855,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f8179,f5965]) ).
fof(f12134,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f1508,f11855]) ).
fof(f12144,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),X1)) = multiply(X1,multiply(inverse(X0),X0)),
inference(superposition,[],[f7893,f11855]) ).
fof(f13108,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X3,multiply(multiply(inverse(X4),X4),inverse(multiply(X0,multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X1)))))))),X2) = X3,
inference(superposition,[],[f3289,f12144]) ).
fof(f13138,plain,
! [X2,X3,X4] : multiply(multiply(X3,multiply(multiply(inverse(X4),X4),inverse(X2))),X2) = X3,
inference(forward_demodulation,[],[f13108,f8384]) ).
fof(f13757,plain,
! [X2,X0,X1] : multiply(multiply(X1,multiply(X0,inverse(X0))),multiply(inverse(X2),X2)) = X1,
inference(superposition,[],[f13138,f5836]) ).
fof(f14020,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),multiply(X1,multiply(X2,inverse(X2))))) = X1,
inference(superposition,[],[f13757,f7893]) ).
fof(f14782,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f14020,f12134]) ).
fof(f15021,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f14782,f13757]) ).
fof(f15052,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f2239,f14782]) ).
fof(f15195,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(multiply(X2,multiply(multiply(inverse(X3),X3),inverse(inverse(X0)))),inverse(X0)))) = X2,
inference(superposition,[],[f1623,f14782]) ).
fof(f15257,plain,
! [X2,X1] : multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(forward_demodulation,[],[f15195,f13138]) ).
fof(f16238,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1,
inference(superposition,[],[f14782,f15021]) ).
fof(f16822,plain,
! [X2,X0,X1] : inverse(X1) = multiply(inverse(X2),multiply(X2,multiply(inverse(multiply(X0,X1)),X0))),
inference(superposition,[],[f1786,f15257]) ).
fof(f16981,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(forward_demodulation,[],[f16822,f15257]) ).
fof(f23837,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f16981,f15257]) ).
fof(f52221,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),multiply(X1,X3)))))) = multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(inverse(X4),inverse(multiply(X6,inverse(X6))))),X0))),
inference(superposition,[],[f796,f5932]) ).
fof(f52930,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),multiply(X1,X3)))))) = multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(X4)),X0))),
inference(forward_demodulation,[],[f52221,f16238]) ).
fof(f53469,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),multiply(X1,X3)))))) = multiply(X4,multiply(X5,multiply(inverse(multiply(X4,X5)),X0))),
inference(forward_demodulation,[],[f52930,f23837]) ).
fof(f53846,plain,
! [X0,X4,X5] : multiply(X4,multiply(X5,multiply(inverse(multiply(X4,X5)),X0))) = X0,
inference(forward_demodulation,[],[f53469,f795]) ).
fof(f57409,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X2),multiply(X3,inverse(multiply(inverse(X0),X3)))),
inference(superposition,[],[f53846,f1508]) ).
fof(f57854,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X2),X0),
inference(forward_demodulation,[],[f57409,f15052]) ).
fof(f58457,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f57854]) ).
fof(f58835,plain,
$false,
inference(trivial_inequality_removal,[],[f58457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP441-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n020.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 10:05:50 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 15.07/2.66 % (3149316)Will run a generic schedule for satisfiability detection.
% 15.07/2.66 % (3149334)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2052334223:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.07/2.66 % (3149329)% WARNING: option uhcvi not known.
% 15.07/2.66 % (3149330)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=119440194:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.07/2.66 % (3149328)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3463821765_2999 on theBenchmark for (2999ds/0Mi)
% 15.07/2.66 % (3149329)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1754711187:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.07/2.66 % (3149331)dis+10_1_sil=32000:sp=arity:random_seed=970913422:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.07/2.66 % (3149335)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2591989667:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.07/2.66 % (3149333)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3085038499:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.07/2.66 % TRYING [1]
% 15.07/2.66 % TRYING [2]
% 15.07/2.66 % TRYING [3]
% 15.07/2.66 % (3149334)Instruction limit reached!
% 15.07/2.66 % (3149334)------------------------------
% 15.07/2.66 % (3149334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.66 % (3149334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.66 % (3149334)CaDiCaL version: 2.1.3
% 15.07/2.66 % (3149334)Termination reason: Instruction limit
% 15.07/2.66 % (3149334)Termination phase: Saturation
% 15.07/2.66 % (3149334)Time elapsed: 0.039 s
% 15.07/2.66 % (3149334)Peak memory usage: 12 MB
% 15.07/2.66 % (3149334)Instructions burned: 135 (million)
% 15.07/2.66 % TRYING [4]
% 15.07/2.66 % (3149370)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=746883422:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.07/2.66 % TRYING [1]
% 15.07/2.66 % TRYING [2]
% 15.07/2.66 % TRYING [3]
% 15.07/2.66 % (3149331)Instruction limit reached!
% 15.07/2.66 % (3149331)------------------------------
% 15.07/2.66 % (3149331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.66 % (3149331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.66 % (3149331)CaDiCaL version: 2.1.3
% 15.07/2.66 % (3149331)Termination reason: Instruction limit
% 15.07/2.66 % (3149331)Termination phase: Saturation
% 15.07/2.66 % (3149331)Time elapsed: 0.054 s
% 15.07/2.66 % (3149331)Peak memory usage: 11 MB
% 15.07/2.66 % (3149331)Instructions burned: 104 (million)
% 15.07/2.66 % (3149333)Instruction limit reached!
% 15.07/2.66 % (3149333)------------------------------
% 15.07/2.66 % (3149333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.66 % (3149333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.66 % (3149333)CaDiCaL version: 2.1.3
% 15.07/2.66 % (3149333)Termination reason: Instruction limit
% 15.07/2.66 % (3149333)Termination phase: Saturation
% 15.07/2.66 % (3149333)Time elapsed: 0.062 s
% 15.07/2.66 % (3149333)Peak memory usage: 12 MB
% 15.07/2.66 % (3149333)Instructions burned: 116 (million)
% 15.07/2.66 % TRYING [4]
% 15.07/2.66 % (3149380)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=97017470:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.07/2.66 % (3149383)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=630080442:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.07/2.66 % (3149335)Instruction limit reached!
% 15.07/2.66 % (3149335)------------------------------
% 15.07/2.66 % (3149335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.66 % (3149335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.66 % (3149335)CaDiCaL version: 2.1.3
% 15.07/2.66 % (3149335)Termination reason: Instruction limit
% 15.07/2.66 % (3149335)Termination phase: Saturation
% 15.07/2.66 % (3149335)Time elapsed: 0.090 s
% 15.07/2.66 % (3149335)Peak memory usage: 12 MB
% 15.07/2.66 % (3149335)Instructions burned: 159 (million)
% 15.07/2.66 % (3149388)ott-21_1_sil=16000:fs=off:random_seed=1350188988:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.07/2.66 % (3149380)Instruction limit reached!
% 15.07/2.66 % (3149380)------------------------------
% 15.07/2.66 % (3149380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.66 % (3149380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149380)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149380)Termination reason: Instruction limit
% 14.21/4.26 % (3149380)Termination phase: Saturation
% 14.21/4.26 % (3149380)Time elapsed: 0.073 s
% 14.21/4.26 % (3149380)Peak memory usage: 13 MB
% 14.21/4.26 % (3149380)Instructions burned: 132 (million)
% 14.21/4.26 % (3149390)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3077013685:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 14.21/4.26 % (3149388)Instruction limit reached!
% 14.21/4.26 % (3149388)------------------------------
% 14.21/4.26 % (3149388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149388)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149388)Termination reason: Instruction limit
% 14.21/4.26 % (3149388)Termination phase: Saturation
% 14.21/4.26 % (3149388)Time elapsed: 0.084 s
% 14.21/4.26 % (3149388)Peak memory usage: 11 MB
% 14.21/4.26 % (3149388)Instructions burned: 181 (million)
% 14.21/4.26 % (3149392)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2917695114:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.21/4.26 % TRYING [1]
% 14.21/4.26 % TRYING [2]
% 14.21/4.26 % TRYING [3]
% 14.21/4.26 % TRYING [4]
% 14.21/4.26 % (3149370)Instruction limit reached!
% 14.21/4.26 % (3149370)------------------------------
% 14.21/4.26 % (3149370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149370)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149370)Termination reason: Instruction limit
% 14.21/4.26 % (3149370)Termination phase: Finite model building SAT solving
% 14.21/4.26 % (3149370)Time elapsed: 0.219 s
% 14.21/4.26 % (3149370)Peak memory usage: 13 MB
% 14.21/4.26 % (3149370)Instructions burned: 717 (million)
% 14.21/4.26 % (3149394)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3396692452:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 14.21/4.26 % (3149390)Instruction limit reached!
% 14.21/4.26 % (3149390)------------------------------
% 14.21/4.26 % (3149390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149390)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149390)Termination reason: Instruction limit
% 14.21/4.26 % (3149390)Termination phase: Saturation
% 14.21/4.26 % (3149390)Time elapsed: 0.236 s
% 14.21/4.26 % (3149390)Peak memory usage: 15 MB
% 14.21/4.26 % (3149390)Instructions burned: 477 (million)
% 14.21/4.26 % (3149396)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2945700717:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 14.21/4.26 % (3149383)Instruction limit reached!
% 14.21/4.26 % (3149383)------------------------------
% 14.21/4.26 % (3149383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149383)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149383)Termination reason: Instruction limit
% 14.21/4.26 % (3149383)Termination phase: Saturation
% 14.21/4.26 % (3149383)Time elapsed: 0.344 s
% 14.21/4.26 % (3149383)Peak memory usage: 20 MB
% 14.21/4.26 % (3149383)Instructions burned: 684 (million)
% 14.21/4.26 % (3149398)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=507953679: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)
% 14.21/4.26 % TRYING [14]
% 14.21/4.26 % (3149394)Instruction limit reached!
% 14.21/4.26 % (3149394)------------------------------
% 14.21/4.26 % (3149394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149394)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149394)Termination reason: Instruction limit
% 14.21/4.26 % (3149394)Termination phase: Saturation
% 14.21/4.26 % (3149394)Time elapsed: 0.309 s
% 14.21/4.26 % (3149394)Peak memory usage: 27 MB
% 14.21/4.26 % (3149394)Instructions burned: 1180 (million)
% 14.21/4.26 % (3149400)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4015451681:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 14.21/4.26 % (3149396)Instruction limit reached!
% 14.21/4.26 % (3149396)------------------------------
% 14.21/4.26 % (3149396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149396)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149396)Termination reason: Instruction limit
% 14.21/4.26 % (3149396)Termination phase: Finite model building constraint generation
% 14.21/4.26 % (3149396)Time elapsed: 0.324 s
% 14.21/4.26 % (3149396)Peak memory usage: 79 MB
% 14.21/4.26 % (3149396)Instructions burned: 890 (million)
% 14.21/4.26 % (3149392)Instruction limit reached!
% 14.21/4.26 % (3149392)------------------------------
% 14.21/4.26 % (3149392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149392)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149392)Termination reason: Instruction limit
% 14.21/4.26 % (3149392)Termination phase: Finite model building SAT solving
% 14.21/4.26 % (3149392)Time elapsed: 0.546 s
% 14.21/4.26 % (3149392)Peak memory usage: 12 MB
% 14.21/4.26 % (3149392)Instructions burned: 866 (million)
% 14.21/4.26 % (3149402)fmb+10_1_sil=64000:random_seed=121265156:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 14.21/4.26 % (3149403)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1986183016:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 14.21/4.26 % TRYING [1]
% 14.21/4.26 % TRYING [2]
% 14.21/4.26 % TRYING [20]
% 14.21/4.26 % TRYING [3]
% 14.21/4.26 % TRYING [4]
% 14.21/4.26 % (3149398)Instruction limit reached!
% 14.21/4.26 % (3149398)------------------------------
% 14.21/4.26 % (3149398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149398)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149398)Termination reason: Instruction limit
% 14.21/4.26 % (3149398)Termination phase: Saturation
% 14.21/4.26 % (3149398)Time elapsed: 0.374 s
% 14.21/4.26 % (3149398)Peak memory usage: 15 MB
% 14.21/4.26 % (3149398)Instructions burned: 692 (million)
% 14.21/4.26 % (3149400)Instruction limit reached!
% 14.21/4.26 % (3149400)------------------------------
% 14.21/4.26 % (3149400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149400)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149400)Termination reason: Instruction limit
% 14.21/4.26 % (3149400)Termination phase: Saturation
% 14.21/4.26 % (3149400)Time elapsed: 0.232 s
% 14.21/4.26 % (3149400)Peak memory usage: 18 MB
% 14.21/4.26 % (3149400)Instructions burned: 881 (million)
% 14.21/4.26 % (3149407)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2115803815:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 14.21/4.26 % (3149406)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3232834967:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 14.21/4.26 % TRYING [8]
% 14.21/4.26 % (3149406)Instruction limit reached!
% 14.21/4.26 % (3149406)------------------------------
% 14.21/4.26 % (3149406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149406)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149406)Termination reason: Instruction limit
% 14.21/4.26 % (3149406)Termination phase: Finite model building constraint generation
% 14.21/4.26 % (3149406)Time elapsed: 0.344 s
% 14.21/4.26 % (3149406)Peak memory usage: 62 MB
% 14.21/4.26 % (3149406)Instructions burned: 920 (million)
% 14.21/4.26 % (3149410)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4273788468:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 14.21/4.26 % (3149410)Instruction limit reached!
% 14.21/4.26 % (3149410)------------------------------
% 14.21/4.26 % (3149410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149410)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149410)Termination reason: Instruction limit
% 14.21/4.26 % (3149410)Termination phase: Saturation
% 14.21/4.26 % (3149410)Time elapsed: 0.714 s
% 14.21/4.26 % (3149410)Peak memory usage: 27 MB
% 14.21/4.26 % (3149410)Instructions burned: 1473 (million)
% 14.21/4.26 % (3149412)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3454746245:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 14.21/4.26 % TRYING [77]
% 14.21/4.26 % (3149407)Instruction limit reached!
% 14.21/4.26 % (3149407)------------------------------
% 14.21/4.26 % (3149407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149407)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149407)Termination reason: Instruction limit
% 14.21/4.26 % (3149407)Termination phase: Saturation
% 14.21/4.26 % (3149407)Time elapsed: 1.346 s
% 14.21/4.26 % (3149407)Peak memory usage: 47 MB
% 14.21/4.26 % (3149407)Instructions burned: 5132 (million)
% 14.21/4.26 % (3149414)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2370830178:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 14.21/4.26 % TRYING [16]
% 14.21/4.26 % TRYING [5]
% 14.21/4.26 % TRYING [5]
% 14.21/4.26 % (3149414)Instruction limit reached!
% 14.21/4.26 % (3149414)------------------------------
% 14.21/4.26 % (3149414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149414)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149414)Termination reason: Instruction limit
% 14.21/4.26 % (3149414)Termination phase: Finite model building constraint generation
% 14.21/4.26 % (3149414)Time elapsed: 0.399 s
% 14.21/4.26 % (3149414)Peak memory usage: 133 MB
% 14.21/4.26 % (3149414)Instructions burned: 2180 (million)
% 14.21/4.26 % (3149416)ott-2_1_sil=16000:newcnf=on:random_seed=3512258600:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2973 on theBenchmark for (2973ds/869Mi)
% 14.21/4.26 % (3149416)Instruction limit reached!
% 14.21/4.26 % (3149416)------------------------------
% 14.21/4.26 % (3149416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149416)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149416)Termination reason: Instruction limit
% 14.21/4.26 % (3149416)Termination phase: Saturation
% 14.21/4.26 % (3149416)Time elapsed: 0.248 s
% 14.21/4.26 % (3149416)Peak memory usage: 23 MB
% 14.21/4.26 % (3149416)Instructions burned: 872 (million)
% 14.21/4.26 % (3149418)ott+10_1_sil=32000:tgt=ground:random_seed=2925746933:i=5114:av=off_2970 on theBenchmark for (2970ds/5114Mi)
% 14.21/4.26 % (3149330) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3149316-3149330"...
% 14.21/4.26 % (3149330)...printing done.
% 14.21/4.26 % (3149330)Refutation found. Thanks to Tanya!
% 14.21/4.26 % SZS status Unsatisfiable for theBenchmark
% 14.21/4.26 % SZS output start Proof for theBenchmark
% See solution above
% 14.21/4.26 % (3149330)------------------------------
% 14.21/4.26 % (3149330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.21/4.26 % (3149330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.21/4.26 % (3149330)CaDiCaL version: 2.1.3
% 14.21/4.26 % (3149330)Termination reason: Refutation
% 14.21/4.26 % (3149330)Time elapsed: 3.699 s
% 14.21/4.26 % (3149330)Peak memory usage: 62 MB
% 14.21/4.26 % (3149330)Instructions burned: 9709 (million)
% 14.21/4.26 % (3149316)Success in time 3.822 s
% 14.21/4.26 % Vampire exiting
%------------------------------------------------------------------------------