%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP414-1 : 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 : n012.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 10:17:46 AM UTC 2026
% Result : Unsatisfiable 17.19s 3.13s
% Output : Refutation 17.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 2
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 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 : 197 ( 197 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
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(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),X0))),X3)) = multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X0)),X2))),
inference(superposition,[],[f1,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1))),multiply(inverse(multiply(X2,inverse(X3))),X0)))),X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = X2,
inference(superposition,[],[f1,f4]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X3))),X0))),X3) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X0,X2)))),
inference(superposition,[],[f24,f1]) ).
fof(f54,plain,
! [X0,X1,X5] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X5)))),X1)) = X5,
inference(superposition,[],[f22,f22]) ).
fof(f87,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X0)) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X0)),
inference(superposition,[],[f24,f54]) ).
fof(f115,plain,
! [X0,X1,X6,X5] : multiply(inverse(multiply(X1,X0)),multiply(X1,X5)) = multiply(inverse(multiply(X6,X0)),multiply(X6,X5)),
inference(superposition,[],[f87,f22]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,X1)),multiply(X4,X3)) = multiply(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X0)))),X3)),
inference(superposition,[],[f115,f54]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(X3,X1)))),multiply(X2,inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(X4)),multiply(X3,X1))))) = X4,
inference(superposition,[],[f24,f115]) ).
fof(f11100,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),multiply(multiply(inverse(X2),X2),inverse(X0))))),X1) = X0,
inference(superposition,[],[f38,f24]) ).
fof(f11120,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))))) = X2,
inference(superposition,[],[f1,f38]) ).
fof(f11588,plain,
! [X2,X0,X1,X4] : multiply(multiply(inverse(multiply(X4,X2)),multiply(X4,X2)),inverse(X0)) = multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),inverse(X0)),
inference(superposition,[],[f11120,f209]) ).
fof(f13180,plain,
! [X2,X0,X1,X6] : multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),X0) = multiply(multiply(inverse(multiply(X6,X2)),multiply(X6,X2)),X0),
inference(superposition,[],[f11588,f22]) ).
fof(f15845,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),
inference(superposition,[],[f167,f11100]) ).
fof(f16103,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f15845,f11100]) ).
fof(f16550,plain,
! [X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0))),X1) = X1,
inference(superposition,[],[f11100,f15845]) ).
fof(f17509,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X2),X2))),X1) = X1,
inference(superposition,[],[f16550,f16103]) ).
fof(f17985,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(X2),X0),
inference(superposition,[],[f167,f17509]) ).
fof(f18018,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),inverse(X1))),inverse(multiply(X0,X1))))) = X0,
inference(superposition,[],[f11120,f17509]) ).
fof(f18290,plain,
! [X0,X1] : multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))) = X0,
inference(forward_demodulation,[],[f18018,f17509]) ).
fof(f18345,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)),
inference(superposition,[],[f17985,f16103]) ).
fof(f18421,plain,
! [X2,X0,X1] : multiply(inverse(X2),X1) = multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X0),X0)),
inference(superposition,[],[f17985,f16103]) ).
fof(f19370,plain,
! [X3,X0] : multiply(inverse(multiply(inverse(X3),X3)),X0) = X0,
inference(superposition,[],[f18345,f1]) ).
fof(f21401,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X0),X1)),X4) = multiply(multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),multiply(X2,multiply(inverse(X3),X3))),X4),
inference(superposition,[],[f13180,f18421]) ).
fof(f21406,plain,
! [X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)),X4) = multiply(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X0),X1)),X4),
inference(forward_demodulation,[],[f21401,f17985]) ).
fof(f21715,plain,
! [X3,X1,X4] : multiply(multiply(inverse(X1),X1),X4) = multiply(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)),X4),
inference(forward_demodulation,[],[f21406,f17985]) ).
fof(f21836,plain,
! [X3,X1,X4] : multiply(multiply(inverse(X3),X3),X4) = multiply(multiply(inverse(X1),X1),X4),
inference(forward_demodulation,[],[f21715,f17985]) ).
fof(f33965,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))) = X2,
inference(superposition,[],[f18290,f16103]) ).
fof(f34040,plain,
! [X0,X1] : inverse(X1) = multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X0),X0))))),
inference(superposition,[],[f18290,f16103]) ).
fof(f51054,plain,
! [X0,X4] : multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X0),inverse(multiply(inverse(X4),X4))))) = X0,
inference(superposition,[],[f34040,f22]) ).
fof(f51168,plain,
! [X0,X1] : multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0))) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f34040,f16103]) ).
fof(f51761,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[],[f51054,f21836]) ).
fof(f57905,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X2)) = multiply(X0,inverse(multiply(multiply(X0,inverse(X1)),X1))),
inference(superposition,[],[f1,f51761]) ).
fof(f59017,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),inverse(multiply(inverse(X0),X0))))),X1)) = inverse(multiply(multiply(X2,inverse(X3)),X3)),
inference(superposition,[],[f54,f57905]) ).
fof(f59363,plain,
! [X2,X3,X1] : inverse(multiply(multiply(X2,inverse(X3)),X3)) = inverse(multiply(multiply(X2,inverse(X1)),X1)),
inference(forward_demodulation,[],[f59017,f51761]) ).
fof(f61669,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,inverse(X3)),X3) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(multiply(X0,inverse(X1)),X1)),inverse(multiply(inverse(X4),X4))))),
inference(superposition,[],[f51761,f59363]) ).
fof(f61677,plain,
! [X3,X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = multiply(multiply(X0,inverse(X3)),X3),
inference(forward_demodulation,[],[f61669,f51761]) ).
fof(f62159,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X2),
inference(superposition,[],[f61677,f17509]) ).
fof(f64172,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X3),X3),inverse(X2)) = multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X2)),inverse(multiply(inverse(X0),X0))))),
inference(superposition,[],[f33965,f62159]) ).
fof(f64257,plain,
! [X2,X3] : inverse(X2) = multiply(multiply(inverse(X3),X3),inverse(X2)),
inference(forward_demodulation,[],[f64172,f51761]) ).
fof(f65234,plain,
! [X0,X4] : multiply(multiply(inverse(X4),X4),X0) = X0,
inference(superposition,[],[f64257,f22]) ).
fof(f65506,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(X0))))),
inference(superposition,[],[f33965,f64257]) ).
fof(f65511,plain,
! [X2,X1] : multiply(inverse(X2),X2) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f65506,f51168]) ).
fof(f67600,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(multiply(inverse(X0),X0),multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(X5,multiply(inverse(X0),X0))),multiply(X5,X4)))),X3)),
inference(superposition,[],[f167,f65511]) ).
fof(f67783,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(multiply(inverse(X0),X0),multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(inverse(X0),X0)),X4))),X3)),
inference(forward_demodulation,[],[f67600,f17985]) ).
fof(f68478,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(multiply(inverse(X0),X0),multiply(inverse(X2),X2)),inverse(X4)),X3)),
inference(forward_demodulation,[],[f67783,f19370]) ).
fof(f68819,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(X4)),X3)),
inference(forward_demodulation,[],[f68478,f65234]) ).
fof(f68946,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(X4,multiply(inverse(X4),X3)),
inference(forward_demodulation,[],[f68819,f64257]) ).
fof(f68973,plain,
! [X2,X3,X4] : multiply(inverse(multiply(inverse(X2),X2)),X3) = multiply(X4,multiply(inverse(X4),X3)),
inference(forward_demodulation,[],[f68946,f17985]) ).
fof(f68979,plain,
! [X3,X4] : multiply(X4,multiply(inverse(X4),X3)) = X3,
inference(forward_demodulation,[],[f68973,f19370]) ).
fof(f69010,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X0))) = X1,
inference(superposition,[],[f68979,f65511]) ).
fof(f69013,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f68979,f16103]) ).
fof(f70290,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X1),X1)),X0) = multiply(inverse(inverse(X0)),multiply(inverse(X2),X2)),
inference(superposition,[],[f18421,f69013]) ).
fof(f70482,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(multiply(inverse(X1),X1)),X0),
inference(forward_demodulation,[],[f70290,f69013]) ).
fof(f70921,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f70482,f19370]) ).
fof(f77224,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))) = X2,
inference(superposition,[],[f33965,f69010]) ).
fof(f77545,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(X1,inverse(multiply(X2,X1))))) = X2,
inference(forward_demodulation,[],[f77224,f70921]) ).
fof(f77978,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),inverse(multiply(X1,inverse(multiply(X2,X1))))) = X2,
inference(forward_demodulation,[],[f77545,f70921]) ).
fof(f78308,plain,
! [X2,X1] : inverse(multiply(X1,inverse(multiply(X2,X1)))) = X2,
inference(forward_demodulation,[],[f77978,f64257]) ).
fof(f83913,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(inverse(inverse(multiply(X0,X1))),X2),
inference(superposition,[],[f17985,f78308]) ).
fof(f84243,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f83913,f70921]) ).
fof(f108644,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f84243]) ).
fof(f108879,plain,
$false,
inference(trivial_inequality_removal,[],[f108644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP414-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 10:03:20 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 16.50/2.86 % (2134698)Will run a generic schedule for satisfiability detection.
% 16.50/2.86 % (2134704)% WARNING: option uhcvi not known.
% 16.50/2.86 % (2134703)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4047173874_2999 on theBenchmark for (2999ds/0Mi)
% 16.50/2.86 % (2134705)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1951822804:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.50/2.86 % (2134708)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2552862156:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.50/2.86 % (2134704)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=115246281:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.50/2.86 % (2134707)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1224529886:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.50/2.86 % (2134709)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1407945927:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.50/2.86 % TRYING [1]
% 16.50/2.86 % TRYING [2]
% 16.50/2.86 % (2134706)dis+10_1_sil=32000:sp=arity:random_seed=3749973473:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.50/2.86 % TRYING [3]
% 16.50/2.86 % TRYING [4]
% 16.50/2.86 % (2134706)Instruction limit reached!
% 16.50/2.86 % (2134706)------------------------------
% 16.50/2.86 % (2134706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.86 % (2134706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/2.86 % (2134706)CaDiCaL version: 2.1.3
% 16.50/2.86 % (2134706)Termination reason: Instruction limit
% 16.50/2.86 % (2134706)Termination phase: Saturation
% 16.50/2.86 % (2134706)Time elapsed: 0.029 s
% 16.50/2.86 % (2134706)Peak memory usage: 11 MB
% 16.50/2.86 % (2134706)Instructions burned: 106 (million)
% 16.50/2.86 % (2134707)Instruction limit reached!
% 16.50/2.86 % (2134707)------------------------------
% 16.50/2.86 % (2134707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.86 % (2134707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/2.86 % (2134707)CaDiCaL version: 2.1.3
% 16.50/2.86 % (2134707)Termination reason: Instruction limit
% 16.50/2.86 % (2134707)Termination phase: Saturation
% 16.50/2.86 % (2134707)Time elapsed: 0.034 s
% 16.50/2.86 % (2134707)Peak memory usage: 12 MB
% 16.50/2.86 % (2134707)Instructions burned: 117 (million)
% 16.50/2.86 % (2134708)Instruction limit reached!
% 16.50/2.86 % (2134708)------------------------------
% 16.50/2.86 % (2134708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.86 % (2134708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/2.86 % (2134708)CaDiCaL version: 2.1.3
% 16.50/2.86 % (2134708)Termination reason: Instruction limit
% 16.50/2.86 % (2134708)Termination phase: Saturation
% 16.50/2.86 % (2134708)Time elapsed: 0.038 s
% 16.50/2.86 % (2134708)Peak memory usage: 13 MB
% 16.50/2.86 % (2134708)Instructions burned: 132 (million)
% 16.50/2.86 % (2134717)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2727214650:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.50/2.86 % TRYING [1]
% 16.50/2.86 % TRYING [2]
% 16.50/2.86 % TRYING [3]
% 16.50/2.86 % (2134718)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1297815685:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.50/2.86 % (2134719)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=161313811:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 16.50/2.86 % (2134709)Instruction limit reached!
% 16.50/2.86 % (2134709)------------------------------
% 16.50/2.86 % (2134709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.86 % (2134709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/2.86 % (2134709)CaDiCaL version: 2.1.3
% 16.50/2.86 % (2134709)Termination reason: Instruction limit
% 16.50/2.86 % (2134709)Termination phase: Saturation
% 16.50/2.86 % (2134709)Time elapsed: 0.050 s
% 16.50/2.86 % (2134709)Peak memory usage: 13 MB
% 16.50/2.86 % (2134709)Instructions burned: 161 (million)
% 16.50/2.86 % (2134723)ott-21_1_sil=16000:fs=off:random_seed=3126530873:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 16.50/2.86 % TRYING [4]
% 16.50/2.86 % (2134718)Instruction limit reached!
% 16.50/2.86 % (2134718)------------------------------
% 16.50/2.86 % (2134718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.50/2.86 % (2134718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134718)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134718)Termination reason: Instruction limit
% 17.19/3.13 % (2134718)Termination phase: Saturation
% 17.19/3.13 % (2134718)Time elapsed: 0.039 s
% 17.19/3.13 % (2134718)Peak memory usage: 13 MB
% 17.19/3.13 % (2134718)Instructions burned: 134 (million)
% 17.19/3.13 % (2134725)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2184341405:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.19/3.13 % (2134723)Instruction limit reached!
% 17.19/3.13 % (2134723)------------------------------
% 17.19/3.13 % (2134723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134723)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134723)Termination reason: Instruction limit
% 17.19/3.13 % (2134723)Termination phase: Saturation
% 17.19/3.13 % (2134723)Time elapsed: 0.048 s
% 17.19/3.13 % (2134723)Peak memory usage: 12 MB
% 17.19/3.13 % (2134723)Instructions burned: 181 (million)
% 17.19/3.13 % (2134727)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1699553755:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.19/3.13 % TRYING [1]
% 17.19/3.13 % TRYING [2]
% 17.19/3.13 % TRYING [3]
% 17.19/3.13 % TRYING [4]
% 17.19/3.13 % (2134725)Instruction limit reached!
% 17.19/3.13 % (2134725)------------------------------
% 17.19/3.13 % (2134725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134725)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134725)Termination reason: Instruction limit
% 17.19/3.13 % (2134725)Termination phase: Saturation
% 17.19/3.13 % (2134725)Time elapsed: 0.159 s
% 17.19/3.13 % (2134725)Peak memory usage: 15 MB
% 17.19/3.13 % (2134725)Instructions burned: 478 (million)
% 17.19/3.13 % (2134719)Instruction limit reached!
% 17.19/3.13 % (2134719)------------------------------
% 17.19/3.13 % (2134719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134719)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134719)Termination reason: Instruction limit
% 17.19/3.13 % (2134719)Termination phase: Saturation
% 17.19/3.13 % (2134719)Time elapsed: 0.214 s
% 17.19/3.13 % (2134719)Peak memory usage: 16 MB
% 17.19/3.13 % (2134719)Instructions burned: 685 (million)
% 17.19/3.13 % (2134737)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2997812573:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 17.19/3.13 % (2134738)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2476026767:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 17.19/3.13 % TRYING [14]
% 17.19/3.13 % (2134717)Instruction limit reached!
% 17.19/3.13 % (2134717)------------------------------
% 17.19/3.13 % (2134717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134717)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134717)Termination reason: Instruction limit
% 17.19/3.13 % (2134717)Termination phase: Finite model building SAT solving
% 17.19/3.13 % (2134717)Time elapsed: 0.312 s
% 17.19/3.13 % (2134717)Peak memory usage: 12 MB
% 17.19/3.13 % (2134717)Instructions burned: 715 (million)
% 17.19/3.13 % (2134748)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=3005943161:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 17.19/3.13 % (2134727)Instruction limit reached!
% 17.19/3.13 % (2134727)------------------------------
% 17.19/3.13 % (2134727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134727)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134727)Termination reason: Instruction limit
% 17.19/3.13 % (2134727)Termination phase: Finite model building SAT solving
% 17.19/3.13 % (2134727)Time elapsed: 0.354 s
% 17.19/3.13 % (2134727)Peak memory usage: 11 MB
% 17.19/3.13 % (2134727)Instructions burned: 865 (million)
% 17.19/3.13 % (2134753)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=736425867:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 17.19/3.13 % (2134738)Instruction limit reached!
% 17.19/3.13 % (2134738)------------------------------
% 17.19/3.13 % (2134738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134738)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134738)Termination reason: Instruction limit
% 17.19/3.13 % (2134738)Termination phase: Finite model building constraint generation
% 17.19/3.13 % (2134738)Time elapsed: 0.339 s
% 17.19/3.13 % (2134738)Peak memory usage: 81 MB
% 17.19/3.13 % (2134738)Instructions burned: 891 (million)
% 17.19/3.13 % (2134737)Instruction limit reached!
% 17.19/3.13 % (2134737)------------------------------
% 17.19/3.13 % (2134737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134737)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134737)Termination reason: Instruction limit
% 17.19/3.13 % (2134737)Termination phase: Saturation
% 17.19/3.13 % (2134737)Time elapsed: 0.375 s
% 17.19/3.13 % (2134737)Peak memory usage: 31 MB
% 17.19/3.13 % (2134737)Instructions burned: 1182 (million)
% 17.19/3.13 % (2134758)fmb+10_1_sil=64000:random_seed=3179679363:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 17.19/3.13 % TRYING [1]
% 17.19/3.13 % TRYING [2]
% 17.19/3.13 % TRYING [3]
% 17.19/3.13 % (2134759)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2730415663:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 17.19/3.13 % TRYING [20]
% 17.19/3.13 % TRYING [4]
% 17.19/3.13 % (2134748)Instruction limit reached!
% 17.19/3.13 % (2134748)------------------------------
% 17.19/3.13 % (2134748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134748)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134748)Termination reason: Instruction limit
% 17.19/3.13 % (2134748)Termination phase: Saturation
% 17.19/3.13 % (2134748)Time elapsed: 0.366 s
% 17.19/3.13 % (2134748)Peak memory usage: 17 MB
% 17.19/3.13 % (2134748)Instructions burned: 693 (million)
% 17.19/3.13 % (2134763)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1505444614:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 17.19/3.13 % TRYING [8]
% 17.19/3.13 % (2134753)Instruction limit reached!
% 17.19/3.13 % (2134753)------------------------------
% 17.19/3.13 % (2134753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134753)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134753)Termination reason: Instruction limit
% 17.19/3.13 % (2134753)Termination phase: Saturation
% 17.19/3.13 % (2134753)Time elapsed: 0.373 s
% 17.19/3.13 % (2134753)Peak memory usage: 18 MB
% 17.19/3.13 % (2134753)Instructions burned: 879 (million)
% 17.19/3.13 % (2134767)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3663730455:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 17.19/3.13 % (2134763)Instruction limit reached!
% 17.19/3.13 % (2134763)------------------------------
% 17.19/3.13 % (2134763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134763)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134763)Termination reason: Instruction limit
% 17.19/3.13 % (2134763)Termination phase: Finite model building SAT solving
% 17.19/3.13 % (2134763)Time elapsed: 0.450 s
% 17.19/3.13 % (2134763)Peak memory usage: 38 MB
% 17.19/3.13 % (2134763)Instructions burned: 922 (million)
% 17.19/3.13 % (2134772)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2738310304:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 17.19/3.13 % TRYING [5]
% 17.19/3.13 % (2134772)Instruction limit reached!
% 17.19/3.13 % (2134772)------------------------------
% 17.19/3.13 % (2134772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134772)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134772)Termination reason: Instruction limit
% 17.19/3.13 % (2134772)Termination phase: Saturation
% 17.19/3.13 % (2134772)Time elapsed: 0.503 s
% 17.19/3.13 % (2134772)Peak memory usage: 31 MB
% 17.19/3.13 % (2134772)Instructions burned: 1474 (million)
% 17.19/3.13 % (2134775)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1031261579:i=6324_2982 on theBenchmark for (2982ds/6324Mi)
% 17.19/3.13 % TRYING [77]
% 17.19/3.13 % (2134767)Instruction limit reached!
% 17.19/3.13 % (2134767)------------------------------
% 17.19/3.13 % (2134767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134767)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134767)Termination reason: Instruction limit
% 17.19/3.13 % (2134767)Termination phase: Saturation
% 17.19/3.13 % (2134767)Time elapsed: 1.583 s
% 17.19/3.13 % (2134767)Peak memory usage: 46 MB
% 17.19/3.13 % (2134767)Instructions burned: 5133 (million)
% 17.19/3.13 % (2134929)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2141272323:fmbsr=2.30978:i=2174_2974 on theBenchmark for (2974ds/2174Mi)
% 17.19/3.13 % TRYING [16]
% 17.19/3.13 % (2134705) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2134698-2134705"...
% 17.19/3.13 % (2134705)...printing done.
% 17.19/3.13 % (2134705)Refutation found. Thanks to Tanya!
% 17.19/3.13 % SZS status Unsatisfiable for theBenchmark
% 17.19/3.13 % SZS output start Proof for theBenchmark
% See solution above
% 17.19/3.13 % (2134705)------------------------------
% 17.19/3.13 % (2134705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/3.13 % (2134705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/3.13 % (2134705)CaDiCaL version: 2.1.3
% 17.19/3.13 % (2134705)Termination reason: Refutation
% 17.19/3.13 % (2134705)Time elapsed: 2.702 s
% 17.19/3.13 % (2134705)Peak memory usage: 60 MB
% 17.19/3.13 % (2134705)Instructions burned: 9453 (million)
% 17.19/3.13 % (2134698)Success in time 2.793 s
% 17.19/3.13 % Vampire exiting
%------------------------------------------------------------------------------