%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP058-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 10:12:29 AM UTC 2026
% Result : Unsatisfiable 12.24s 2.67s
% Output : Refutation 13.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 2
% Syntax : Number of formulae : 82 ( 80 unt; 0 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 293 ( 293 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X0)),X1)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X3))),multiply(X4,inverse(X4))),multiply(X0,X1)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X1))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5)))))),inverse(multiply(X5,X0))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X0))),multiply(X5,inverse(X5))) = multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X0,X1)))),
inference(superposition,[],[f1,f5]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X5] : multiply(inverse(multiply(X3,multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))))),inverse(multiply(inverse(X5),X1))) = X5,
inference(superposition,[],[f6,f30]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X4,inverse(X4)),inverse(multiply(X3,multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0))))))) = X1,
inference(superposition,[],[f1,f30]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X0,multiply(X3,inverse(X3))),multiply(X1,X2)))))),inverse(multiply(inverse(multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,inverse(X6)),X4))),X7))),X0))) = X7,
inference(superposition,[],[f4,f84]) ).
fof(f142,plain,
! [X6,X7,X4,X5] : multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,inverse(X6)),X4))),X7)) = X7,
inference(forward_demodulation,[],[f130,f80]) ).
fof(f153,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,X0) = inverse(multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X0,X4))),multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),X1)))))),
inference(superposition,[],[f142,f1]) ).
fof(f161,plain,
! [X3,X0] : multiply(X0,inverse(X0)) = multiply(X3,inverse(X3)),
inference(superposition,[],[f1,f142]) ).
fof(f244,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,inverse(X0))))))),inverse(multiply(inverse(X5),X3))) = X5,
inference(superposition,[],[f6,f161]) ).
fof(f251,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(X1,inverse(multiply(multiply(multiply(X0,inverse(X0)),multiply(X3,inverse(X3))),multiply(X2,X1)))),
inference(superposition,[],[f5,f161]) ).
fof(f254,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(X0,inverse(X0)),X1)))) = X2,
inference(superposition,[],[f1,f161]) ).
fof(f255,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X0,inverse(X0)),X2)) = X2,
inference(superposition,[],[f142,f161]) ).
fof(f273,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(multiply(inverse(X2),multiply(X0,inverse(X0))))) = X2,
inference(superposition,[],[f254,f161]) ).
fof(f329,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = multiply(inverse(multiply(X1,inverse(X1))),multiply(X0,inverse(X0))),
inference(superposition,[],[f255,f161]) ).
fof(f398,plain,
! [X2,X0] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f255,f329]) ).
fof(f503,plain,
! [X2,X0,X1] : multiply(X1,inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f161,f398]) ).
fof(f581,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X2))),multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))))))),inverse(multiply(inverse(X6),X4))) = X6,
inference(superposition,[],[f6,f503]) ).
fof(f662,plain,
! [X1,X6,X4] : multiply(multiply(inverse(multiply(X1,inverse(X1))),X4),inverse(multiply(inverse(X6),X4))) = X6,
inference(forward_demodulation,[],[f581,f153]) ).
fof(f675,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(inverse(X0),multiply(X2,inverse(X2))))))) = X3,
inference(superposition,[],[f662,f273]) ).
fof(f785,plain,
! [X2,X0,X1] : multiply(X1,inverse(X0)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X1)))),
inference(superposition,[],[f675,f1]) ).
fof(f862,plain,
! [X2,X0,X1] : multiply(X2,inverse(multiply(inverse(X0),multiply(multiply(X0,inverse(X1)),X2)))) = X1,
inference(superposition,[],[f1,f785]) ).
fof(f870,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(multiply(inverse(X2),multiply(X0,inverse(X1))))) = X2,
inference(superposition,[],[f1,f785]) ).
fof(f913,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X5,inverse(multiply(multiply(multiply(X3,inverse(X3)),multiply(X6,inverse(X6))),multiply(inverse(multiply(X1,inverse(X0))),X5)))) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X1)))),multiply(X4,inverse(X4))),
inference(superposition,[],[f30,f785]) ).
fof(f915,plain,
! [X3,X0,X1,X6,X4,X5] : multiply(X5,inverse(multiply(multiply(multiply(X3,inverse(X3)),multiply(X6,inverse(X6))),multiply(inverse(multiply(X1,inverse(X0))),X5)))) = multiply(multiply(X1,inverse(X0)),multiply(X4,inverse(X4))),
inference(forward_demodulation,[],[f913,f785]) ).
fof(f932,plain,
! [X0,X1,X4] : multiply(multiply(X1,inverse(X0)),multiply(X4,inverse(X4))) = inverse(inverse(multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f915,f251]) ).
fof(f1061,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(superposition,[],[f1,f862]) ).
fof(f1174,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(X1,inverse(multiply(inverse(X0),multiply(X0,X1)))),
inference(superposition,[],[f862,f1061]) ).
fof(f1347,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,inverse(X0))))))),inverse(multiply(inverse(multiply(inverse(X6),multiply(X6,X5))),X3))) = X5,
inference(superposition,[],[f6,f1174]) ).
fof(f1349,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))) = multiply(inverse(multiply(inverse(X5),multiply(X5,X3))),inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X0,inverse(X0))))),
inference(superposition,[],[f30,f1174]) ).
fof(f1358,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(X2,inverse(X2))) = multiply(X1,inverse(multiply(multiply(multiply(X0,inverse(X0)),multiply(X4,inverse(X4))),multiply(inverse(X3),X1)))),
inference(superposition,[],[f5,f1174]) ).
fof(f1378,plain,
! [X2,X3] : inverse(inverse(X3)) = multiply(X3,multiply(X2,inverse(X2))),
inference(forward_demodulation,[],[f1358,f251]) ).
fof(f1383,plain,
! [X2,X3,X0,X1,X6,X5] : inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))))) = multiply(inverse(multiply(inverse(X5),multiply(X5,X3))),inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X0,inverse(X0))))),
inference(forward_demodulation,[],[f1349,f932]) ).
fof(f1385,plain,
! [X6,X5] : multiply(inverse(X6),multiply(X6,X5)) = X5,
inference(forward_demodulation,[],[f1347,f244]) ).
fof(f1442,plain,
! [X2,X3,X1,X6,X5] : inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))))) = multiply(inverse(multiply(inverse(X5),multiply(X5,X3))),inverse(inverse(inverse(multiply(X2,multiply(X6,inverse(X6))))))),
inference(forward_demodulation,[],[f1383,f1378]) ).
fof(f1471,plain,
! [X2,X3,X1,X5] : inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))))) = multiply(inverse(multiply(inverse(X5),multiply(X5,X3))),inverse(inverse(inverse(inverse(inverse(X2)))))),
inference(forward_demodulation,[],[f1442,f1378]) ).
fof(f1480,plain,
! [X2,X3,X1] : inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))))) = multiply(inverse(X3),inverse(inverse(inverse(inverse(inverse(X2)))))),
inference(forward_demodulation,[],[f1471,f1385]) ).
fof(f1486,plain,
! [X2,X3,X0,X1] : inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X1))) = multiply(inverse(X1),X0),
inference(superposition,[],[f1385,f1]) ).
fof(f1494,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X1))) = multiply(inverse(X0),X0),
inference(superposition,[],[f1385,f1061]) ).
fof(f1497,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),multiply(X2,inverse(X1)))) = multiply(inverse(inverse(multiply(X1,inverse(X2)))),X0),
inference(superposition,[],[f1385,f870]) ).
fof(f1510,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f1385,f1385]) ).
fof(f1547,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X2)),X0) = inverse(multiply(inverse(X0),multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f1497,f1510]) ).
fof(f1586,plain,
! [X2,X0] : multiply(inverse(X0),X0) = multiply(inverse(X2),X2),
inference(superposition,[],[f1494,f1494]) ).
fof(f1606,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f1061,f1494]) ).
fof(f1626,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))) = multiply(X5,inverse(multiply(multiply(X2,multiply(multiply(X6,inverse(X6)),multiply(inverse(X0),X0))),multiply(X3,X5)))),
inference(superposition,[],[f30,f1494]) ).
fof(f1653,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(X2),inverse(multiply(multiply(inverse(X0),X0),multiply(X3,inverse(X3))))))) = X2,
inference(superposition,[],[f675,f1494]) ).
fof(f1692,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(X0,inverse(X0)))) = X1,
inference(superposition,[],[f1385,f1494]) ).
fof(f1695,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f1692,f1061]) ).
fof(f1712,plain,
! [X2,X3,X0] : multiply(multiply(multiply(inverse(X0),X0),multiply(X3,inverse(X3))),inverse(inverse(X2))) = X2,
inference(forward_demodulation,[],[f1653,f785]) ).
fof(f1729,plain,
! [X2,X3,X0,X1,X6,X5] : inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))))) = multiply(X5,inverse(multiply(multiply(X2,multiply(multiply(X6,inverse(X6)),multiply(inverse(X0),X0))),multiply(X3,X5)))),
inference(forward_demodulation,[],[f1626,f1378]) ).
fof(f1764,plain,
! [X2,X3,X0] : multiply(multiply(multiply(inverse(X0),X0),multiply(X3,inverse(X3))),X2) = X2,
inference(forward_demodulation,[],[f1712,f1695]) ).
fof(f1773,plain,
! [X2,X3,X1,X6,X5] : multiply(X5,inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5)))) = inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))))),
inference(forward_demodulation,[],[f1729,f1606]) ).
fof(f1797,plain,
! [X2,X0] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X2) = X2,
inference(forward_demodulation,[],[f1764,f1378]) ).
fof(f1803,plain,
! [X2,X3,X6,X5] : multiply(X5,inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5)))) = multiply(inverse(X3),inverse(inverse(inverse(inverse(inverse(X2)))))),
inference(forward_demodulation,[],[f1773,f1480]) ).
fof(f1818,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),X2) = X2,
inference(forward_demodulation,[],[f1797,f1510]) ).
fof(f1822,plain,
! [X2,X3,X6,X5] : multiply(X5,inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5)))) = multiply(inverse(X3),inverse(inverse(inverse(X2)))),
inference(forward_demodulation,[],[f1803,f1695]) ).
fof(f1833,plain,
! [X2,X3,X6,X5] : multiply(X5,inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5)))) = multiply(inverse(X3),inverse(X2)),
inference(forward_demodulation,[],[f1822,f1695]) ).
fof(f1839,plain,
! [X2,X3,X5] : multiply(X5,inverse(multiply(inverse(inverse(X2)),multiply(X3,X5)))) = multiply(inverse(X3),inverse(X2)),
inference(forward_demodulation,[],[f1833,f1378]) ).
fof(f1844,plain,
! [X2,X3,X5] : multiply(X5,inverse(multiply(X2,multiply(X3,X5)))) = multiply(inverse(X3),inverse(X2)),
inference(forward_demodulation,[],[f1839,f1510]) ).
fof(f1898,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X2),multiply(X1,inverse(X1))))) = X2,
inference(superposition,[],[f662,f1586]) ).
fof(f1946,plain,
! [X2,X1] : inverse(multiply(inverse(X2),multiply(X1,inverse(X1)))) = X2,
inference(forward_demodulation,[],[f1898,f1818]) ).
fof(f1992,plain,
! [X2,X1] : multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(forward_demodulation,[],[f1946,f1547]) ).
fof(f2081,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(X3,X2))),X1)))) = X3,
inference(superposition,[],[f1,f1695]) ).
fof(f2118,plain,
! [X2,X0,X1] : multiply(X1,inverse(X2)) = multiply(multiply(inverse(X0),X0),inverse(multiply(X2,inverse(X1)))),
inference(superposition,[],[f785,f1695]) ).
fof(f2119,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,X0))),
inference(superposition,[],[f785,f1695]) ).
fof(f2138,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(forward_demodulation,[],[f2119,f1992]) ).
fof(f2139,plain,
! [X2,X1] : multiply(X1,inverse(X2)) = inverse(multiply(X2,inverse(X1))),
inference(forward_demodulation,[],[f2118,f1818]) ).
fof(f2171,plain,
! [X2,X3,X0] : multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X3,X2)))),inverse(X2)) = X3,
inference(forward_demodulation,[],[f2081,f1844]) ).
fof(f2197,plain,
! [X2,X3,X0] : inverse(multiply(X2,multiply(multiply(inverse(X0),X0),inverse(multiply(X3,X2))))) = X3,
inference(forward_demodulation,[],[f2171,f2138]) ).
fof(f2211,plain,
! [X2,X3] : inverse(multiply(X2,inverse(multiply(X3,X2)))) = X3,
inference(forward_demodulation,[],[f2197,f1818]) ).
fof(f2224,plain,
! [X2,X3] : multiply(multiply(X3,X2),inverse(X2)) = X3,
inference(forward_demodulation,[],[f2211,f2139]) ).
fof(f2251,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,X5)))))) = multiply(X0,inverse(inverse(multiply(X5,X3)))),
inference(superposition,[],[f2224,f6]) ).
fof(f2345,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,X5)))))) = multiply(X0,multiply(X5,X3)),
inference(forward_demodulation,[],[f2251,f1695]) ).
fof(f2385,plain,
! [X3,X0,X4,X5] : multiply(X0,multiply(X5,X3)) = multiply(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,X5)))),X3),
inference(forward_demodulation,[],[f2345,f1486]) ).
fof(f2415,plain,
! [X3,X0,X4,X5] : multiply(X0,multiply(X5,X3)) = multiply(multiply(multiply(X0,X5),inverse(multiply(X4,inverse(X4)))),X3),
inference(forward_demodulation,[],[f2385,f2139]) ).
fof(f2436,plain,
! [X3,X0,X5] : multiply(X0,multiply(X5,X3)) = multiply(multiply(X0,X5),X3),
inference(forward_demodulation,[],[f2415,f1061]) ).
fof(f2482,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(unit_resulting_resolution,[],[f3,f1586,f2436]) ).
fof(f2772,plain,
$false,
inference(forward_subsumption_resolution,[],[f2482,f1818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:17:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.24/2.67 % (3720229)Input is clausal, will run a generic CNF schedule.
% 12.24/2.67 % (3720340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1728292881:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.24/2.67 % (3720337)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1826568698:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.24/2.67 % (3720336)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1464390376:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.24/2.67 % (3720339)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=390551961:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.24/2.67 % (3720338)lrs+10_1_sil=8000:sp=occurrence:random_seed=3734332672:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.24/2.67 % (3720335)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3146508647:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.24/2.67 % (3720341)dis-21_1_sil=8000:lcm=predicate:random_seed=2317547750:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 12.24/2.67 % (3720341)Refutation not found, incomplete strategy
% 12.24/2.67 % (3720341)------------------------------
% 12.24/2.67 % (3720341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720341)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720341)Termination reason: Refutation not found, incomplete strategy
% 12.24/2.67 % (3720341)Time elapsed: 0.001 s
% 12.24/2.67 % (3720341)Peak memory usage: 88 MB
% 12.24/2.67 % (3720340)Instruction limit reached!
% 12.24/2.67 % (3720340)------------------------------
% 12.24/2.67 % (3720340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720340)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720340)Termination reason: Instruction limit
% 12.24/2.67 % (3720340)Termination phase: Saturation
% 12.24/2.67 % (3720340)Time elapsed: 0.053 s
% 12.24/2.67 % (3720340)Peak memory usage: 90 MB
% 12.24/2.67 % (3720340)Instructions burned: 181 (million)
% 12.24/2.67 % (3720338)Instruction limit reached!
% 12.24/2.67 % (3720338)------------------------------
% 12.24/2.67 % (3720338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720338)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720338)Termination reason: Instruction limit
% 12.24/2.67 % (3720338)Termination phase: Saturation
% 12.24/2.67 % (3720338)Time elapsed: 0.065 s
% 12.24/2.67 % (3720338)Peak memory usage: 89 MB
% 12.24/2.67 % (3720338)Instructions burned: 107 (million)
% 12.24/2.67 % (3720339)Instruction limit reached!
% 12.24/2.67 % (3720339)------------------------------
% 12.24/2.67 % (3720339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720339)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720339)Termination reason: Instruction limit
% 12.24/2.67 % (3720339)Termination phase: Saturation
% 12.24/2.67 % (3720339)Time elapsed: 0.077 s
% 12.24/2.67 % (3720339)Peak memory usage: 89 MB
% 12.24/2.67 % (3720339)Instructions burned: 117 (million)
% 12.24/2.67 % (3720353)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2409439929:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 12.24/2.67 % (3720353)Refutation not found, incomplete strategy
% 12.24/2.67 % (3720353)------------------------------
% 12.24/2.67 % (3720353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720353)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720353)Termination reason: Refutation not found, incomplete strategy
% 12.24/2.67 % (3720353)Time elapsed: 0.001 s
% 12.24/2.67 % (3720353)Peak memory usage: 88 MB
% 12.24/2.67 % (3720363)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1962357499:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 12.24/2.67 % (3720363)Refutation not found, incomplete strategy
% 12.24/2.67 % (3720363)------------------------------
% 12.24/2.67 % (3720363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720363)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720363)Termination reason: Refutation not found, incomplete strategy
% 12.24/2.67 % (3720363)Time elapsed: 0.001 s
% 12.24/2.67 % (3720363)Peak memory usage: 88 MB
% 12.24/2.67 % (3720364)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=250586241:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.24/2.67 % (3720364)Refutation not found, incomplete strategy
% 12.24/2.67 % (3720364)------------------------------
% 12.24/2.67 % (3720364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720364)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720364)Termination reason: Refutation not found, incomplete strategy
% 12.24/2.67 % (3720364)Time elapsed: 0.001 s
% 12.24/2.67 % (3720364)Peak memory usage: 88 MB
% 12.24/2.67 % (3720341)------------------------------
% 12.24/2.67 % (3720341)------------------------------
% 12.24/2.67 % (3720353)------------------------------
% 12.24/2.67 % (3720353)------------------------------
% 12.24/2.67 % (3720369)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1654584986:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.24/2.67 % (3720368)lrs+10_64_to=lpo:sil=8000:random_seed=1540869068:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 12.24/2.67 % (3720363)------------------------------
% 12.24/2.67 % (3720363)------------------------------
% 12.24/2.67 % (3720364)------------------------------
% 12.24/2.67 % (3720364)------------------------------
% 12.24/2.67 % (3720369)Instruction limit reached!
% 12.24/2.67 % (3720369)------------------------------
% 12.24/2.67 % (3720369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720369)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720369)Termination reason: Instruction limit
% 12.24/2.67 % (3720369)Termination phase: Saturation
% 12.24/2.67 % (3720369)Time elapsed: 0.060 s
% 12.24/2.67 % (3720369)Peak memory usage: 90 MB
% 12.24/2.67 % (3720369)Instructions burned: 197 (million)
% 12.24/2.67 % (3720368)Instruction limit reached!
% 12.24/2.67 % (3720368)------------------------------
% 12.24/2.67 % (3720368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720368)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720368)Termination reason: Instruction limit
% 12.24/2.67 % (3720368)Termination phase: Saturation
% 12.24/2.67 % (3720368)Time elapsed: 0.074 s
% 12.24/2.67 % (3720368)Peak memory usage: 88 MB
% 12.24/2.67 % (3720368)Instructions burned: 127 (million)
% 12.24/2.67 % (3720373)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3257463607:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 12.24/2.67 % (3720372)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2407822918:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 12.24/2.67 % (3720374)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3148798456:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 12.24/2.67 % (3720375)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=668368331:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 12.24/2.67 % (3720375)Refutation not found, incomplete strategy
% 12.24/2.67 % (3720375)------------------------------
% 12.24/2.67 % (3720375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720375)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720375)Termination reason: Refutation not found, incomplete strategy
% 12.24/2.67 % (3720375)Time elapsed: 0.002 s
% 12.24/2.67 % (3720375)Peak memory usage: 88 MB
% 12.24/2.67 % (3720374)Instruction limit reached!
% 12.24/2.67 % (3720374)------------------------------
% 12.24/2.67 % (3720374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720374)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720374)Termination reason: Instruction limit
% 12.24/2.67 % (3720374)Termination phase: Saturation
% 12.24/2.67 % (3720374)Time elapsed: 0.098 s
% 12.24/2.67 % (3720374)Peak memory usage: 89 MB
% 12.24/2.67 % (3720374)Instructions burned: 107 (million)
% 12.24/2.67 % (3720372)Instruction limit reached!
% 12.24/2.67 % (3720372)------------------------------
% 12.24/2.67 % (3720372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720372)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720372)Termination reason: Instruction limit
% 12.24/2.67 % (3720372)Termination phase: Saturation
% 12.24/2.67 % (3720372)Time elapsed: 0.137 s
% 12.24/2.67 % (3720372)Peak memory usage: 91 MB
% 12.24/2.67 % (3720372)Instructions burned: 158 (million)
% 12.24/2.67 % (3720391)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4171188405:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 12.24/2.67 % (3720388)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=187523959:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 12.24/2.67 % (3720375)------------------------------
% 12.24/2.67 % (3720375)------------------------------
% 12.24/2.67 % (3720388)Instruction limit reached!
% 12.24/2.67 % (3720388)------------------------------
% 12.24/2.67 % (3720388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720388)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720388)Termination reason: Instruction limit
% 12.24/2.67 % (3720388)Termination phase: Saturation
% 12.24/2.67 % (3720388)Time elapsed: 0.211 s
% 12.24/2.67 % (3720388)Peak memory usage: 92 MB
% 12.24/2.67 % (3720388)Instructions burned: 243 (million)
% 12.24/2.67 % (3720336)First to succeed.
% 12.24/2.67 % (3720336)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3720229"
% 12.24/2.67 % (3720403)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2232314085:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 12.24/2.67 % (3720373)Also succeeded, but the first one will report.
% 12.24/2.67 % (3720335)Also succeeded, but the first one will report.
% 12.24/2.67 % (3720406)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3125888677:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 12.24/2.67 % (3720403)Instruction limit reached!
% 12.24/2.67 % (3720403)------------------------------
% 12.24/2.67 % (3720403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.67 % (3720403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.67 % (3720403)CaDiCaL version: 2.1.3
% 12.24/2.67 % (3720403)Termination reason: Instruction limit
% 12.24/2.67 % (3720403)Termination phase: Saturation
% 12.24/2.67 % (3720403)Time elapsed: 0.128 s
% 12.24/2.67 % (3720403)Peak memory usage: 89 MB
% 12.24/2.67 % (3720403)Instructions burned: 134 (million)
% 12.24/2.67 % (3720337)Also succeeded, but the first one will report.
% 12.24/2.67 % (3720336)Refutation found. Thanks to Tanya!
% 12.24/2.67 % SZS status Unsatisfiable for theBenchmark
% 12.24/2.67 % SZS output start Proof for theBenchmark
% See solution above
% 13.34/2.90 % (3720336)------------------------------
% 13.34/2.90 % (3720336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.90 % (3720336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.90 % (3720336)CaDiCaL version: 2.1.3
% 13.34/2.90 % (3720336)Termination reason: Refutation
% 13.34/2.90 % (3720336)Time elapsed: 1.205 s
% 13.34/2.90 % (3720336)Peak memory usage: 134 MB
% 13.34/2.90 % (3720336)Instructions burned: 1530 (million)
% 13.34/2.90 % (3720336)------------------------------
% 13.34/2.90 % (3720336)------------------------------
% 13.34/2.90 % (3720229)Success in time 1.796 s
% 13.34/2.90 % Vampire exiting
%------------------------------------------------------------------------------