%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP082-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 10:12:32 AM UTC 2026
% Result : Unsatisfiable 8.73s 2.09s
% Output : Refutation 9.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of formulae : 94 ( 85 unt; 0 def)
% Number of atoms : 108 ( 107 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 25 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 337 ( 337 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,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(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X0))),double_divide(X4,double_divide(X3,X4)))) = double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X5,double_divide(inverse(X2),X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : inverse(double_divide(inverse(double_divide(X4,double_divide(X5,double_divide(X6,double_divide(X7,X6))))),double_divide(X8,double_divide(X5,X8)))) = double_divide(inverse(inverse(double_divide(X3,double_divide(X7,X1)))),inverse(double_divide(double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2))))),double_divide(X9,double_divide(inverse(X4),X9))))),
inference(superposition,[],[f6,f6]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X4,X5) = double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X1)))),inverse(double_divide(double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2))))),double_divide(X6,double_divide(X5,X6))))),
inference(superposition,[],[f1,f6]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),double_divide(X3,double_divide(X1,X3)))) = X2,
inference(superposition,[],[f1,f6]) ).
fof(f31,plain,
! [X8,X6,X7,X4,X5] : inverse(double_divide(inverse(double_divide(X4,double_divide(X5,double_divide(X6,double_divide(X7,X6))))),double_divide(X8,double_divide(X5,X8)))) = double_divide(X7,inverse(X4)),
inference(forward_demodulation,[],[f17,f25]) ).
fof(f40,plain,
! [X3,X0,X1] : double_divide(X3,double_divide(X0,X3)) = double_divide(inverse(X1),double_divide(X0,inverse(X1))),
inference(superposition,[],[f1,f31]) ).
fof(f60,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(superposition,[],[f40,f40]) ).
fof(f135,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),double_divide(X3,double_divide(X1,X3))))) = X2,
inference(superposition,[],[f1,f60]) ).
fof(f182,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,X3) = double_divide(inverse(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0))))),inverse(double_divide(X0,double_divide(X4,double_divide(X3,X4))))),
inference(superposition,[],[f1,f27]) ).
fof(f262,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(X0,inverse(double_divide(X1,double_divide(X0,X1))))) = X2,
inference(superposition,[],[f135,f31]) ).
fof(f266,plain,
! [X2,X3,X0,X1] : double_divide(X1,X3) = inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),inverse(double_divide(X2,double_divide(X3,X2))))))),
inference(superposition,[],[f182,f135]) ).
fof(f323,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X2,double_divide(inverse(X1),X2))) = inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(inverse(X0),X3)))),
inference(superposition,[],[f27,f262]) ).
fof(f391,plain,
! [X2,X0,X1] : inverse(double_divide(X0,double_divide(inverse(X1),X0))) = inverse(double_divide(X2,double_divide(inverse(X1),X2))),
inference(superposition,[],[f323,f323]) ).
fof(f628,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f266,f262]) ).
fof(f630,plain,
! [X2,X0,X1,X4,X5] : double_divide(X0,X2) = double_divide(inverse(double_divide(X0,X1)),inverse(double_divide(inverse(double_divide(X4,double_divide(X1,X4))),double_divide(X5,double_divide(X2,X5))))),
inference(superposition,[],[f182,f266]) ).
fof(f694,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))),X0)) = X2,
inference(superposition,[],[f1,f628]) ).
fof(f707,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(double_divide(double_divide(X0,double_divide(inverse(X1),X0)),X1))) = X2,
inference(superposition,[],[f262,f628]) ).
fof(f745,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(double_divide(X0,double_divide(inverse(X1),X0)),X1),X2)) = X2,
inference(forward_demodulation,[],[f707,f628]) ).
fof(f843,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X1,X2) = inverse(double_divide(double_divide(double_divide(inverse(double_divide(X3,double_divide(X4,X0))),double_divide(X5,double_divide(X4,X5))),X3),double_divide(X1,double_divide(X0,inverse(double_divide(X6,double_divide(X2,X6))))))),
inference(superposition,[],[f266,f694]) ).
fof(f847,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,inverse(X1)) = inverse(double_divide(X1,double_divide(double_divide(inverse(double_divide(X2,double_divide(X3,X0))),double_divide(X4,double_divide(X3,X4))),X2))),
inference(superposition,[],[f628,f694]) ).
fof(f848,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X4),X0) = inverse(double_divide(double_divide(double_divide(inverse(double_divide(X1,double_divide(X2,X0))),double_divide(X3,double_divide(X2,X3))),X1),X4)),
inference(superposition,[],[f628,f694]) ).
fof(f851,plain,
! [X2,X0,X1,X6] : double_divide(X1,X2) = double_divide(inverse(double_divide(X1,double_divide(X0,inverse(double_divide(X6,double_divide(X2,X6)))))),X0),
inference(forward_demodulation,[],[f843,f848]) ).
fof(f1167,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(X3,X1))) = double_divide(inverse(double_divide(X2,X3)),inverse(double_divide(X0,double_divide(inverse(X1),X0)))),
inference(superposition,[],[f630,f323]) ).
fof(f1220,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(X3,X1))) = inverse(double_divide(double_divide(X0,double_divide(inverse(X1),X0)),double_divide(X2,X3))),
inference(forward_demodulation,[],[f1167,f628]) ).
fof(f1288,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(double_divide(double_divide(X6,double_divide(X0,X6)),double_divide(X1,X2))) = double_divide(X1,inverse(double_divide(X2,double_divide(double_divide(inverse(double_divide(X3,double_divide(X4,X0))),double_divide(X5,double_divide(X4,X5))),X3)))),
inference(superposition,[],[f1220,f694]) ).
fof(f1347,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X3,double_divide(inverse(X0),X3))) = double_divide(inverse(X0),inverse(double_divide(double_divide(X1,double_divide(inverse(X2),X1)),X2))),
inference(superposition,[],[f391,f1220]) ).
fof(f1377,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X3,double_divide(inverse(X0),X3))) = inverse(double_divide(double_divide(double_divide(X1,double_divide(inverse(X2),X1)),X2),X0)),
inference(forward_demodulation,[],[f1347,f628]) ).
fof(f1403,plain,
! [X2,X0,X1,X6] : inverse(double_divide(double_divide(X6,double_divide(X0,X6)),double_divide(X1,X2))) = double_divide(X1,double_divide(X0,inverse(X2))),
inference(forward_demodulation,[],[f1288,f847]) ).
fof(f1418,plain,
! [X3,X0] : inverse(double_divide(X3,double_divide(inverse(X0),X3))) = X0,
inference(forward_demodulation,[],[f1377,f745]) ).
fof(f1453,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X1,inverse(X2)),double_divide(X0,double_divide(X1,X0)))) = X2,
inference(superposition,[],[f1418,f60]) ).
fof(f1476,plain,
! [X2,X0,X1] : double_divide(X1,inverse(X0)) = double_divide(inverse(double_divide(X1,double_divide(X2,X0))),X2),
inference(superposition,[],[f851,f1418]) ).
fof(f1488,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X1,double_divide(inverse(X0),X1)),double_divide(X2,X3))),double_divide(X4,double_divide(X2,X4))))) = X3,
inference(superposition,[],[f1,f1418]) ).
fof(f1490,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(double_divide(inverse(double_divide(double_divide(X1,double_divide(inverse(X0),X1)),double_divide(X2,X3))),double_divide(X4,double_divide(X2,X4)))) = double_divide(inverse(X5),inverse(double_divide(inverse(double_divide(X5,X3)),double_divide(X6,double_divide(X0,X6))))),
inference(superposition,[],[f6,f1418]) ).
fof(f1491,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(double_divide(X1,double_divide(inverse(X0),X1)),double_divide(X2,double_divide(X0,X3)))),double_divide(X4,double_divide(X2,X4)))) = X3,
inference(superposition,[],[f27,f1418]) ).
fof(f1501,plain,
! [X2,X0,X1] : double_divide(inverse(X2),X0) = inverse(double_divide(double_divide(X1,double_divide(inverse(X0),X1)),X2)),
inference(superposition,[],[f628,f1418]) ).
fof(f1508,plain,
! [X2,X3,X0,X4] : inverse(double_divide(double_divide(X2,double_divide(inverse(X0),inverse(double_divide(X0,X3)))),double_divide(X4,double_divide(X2,X4)))) = X3,
inference(forward_demodulation,[],[f1491,f1403]) ).
fof(f1509,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(double_divide(inverse(double_divide(double_divide(X1,double_divide(inverse(X0),X1)),double_divide(X2,X3))),double_divide(X4,double_divide(X2,X4)))) = inverse(double_divide(double_divide(inverse(double_divide(X5,X3)),double_divide(X6,double_divide(X0,X6))),X5)),
inference(forward_demodulation,[],[f1490,f628]) ).
fof(f1511,plain,
! [X2,X3,X0,X4] : double_divide(X0,inverse(double_divide(double_divide(X2,double_divide(inverse(X0),inverse(X3))),double_divide(X4,double_divide(X2,X4))))) = X3,
inference(forward_demodulation,[],[f1488,f1403]) ).
fof(f1536,plain,
! [X2,X3,X0,X4] : inverse(double_divide(double_divide(X2,inverse(double_divide(double_divide(X0,X3),X0))),double_divide(X4,double_divide(X2,X4)))) = X3,
inference(forward_demodulation,[],[f1508,f628]) ).
fof(f1537,plain,
! [X2,X3,X0,X6,X4,X5] : inverse(double_divide(double_divide(inverse(double_divide(X5,X3)),double_divide(X6,double_divide(X0,X6))),X5)) = inverse(double_divide(double_divide(X2,double_divide(inverse(X0),inverse(X3))),double_divide(X4,double_divide(X2,X4)))),
inference(forward_demodulation,[],[f1509,f1403]) ).
fof(f1539,plain,
! [X2,X3,X0,X4] : double_divide(X0,inverse(double_divide(double_divide(X2,inverse(double_divide(X3,X0))),double_divide(X4,double_divide(X2,X4))))) = X3,
inference(forward_demodulation,[],[f1511,f628]) ).
fof(f1544,plain,
! [X3,X0] : double_divide(double_divide(X0,X3),X0) = X3,
inference(forward_demodulation,[],[f1536,f1453]) ).
fof(f1545,plain,
! [X2,X3,X0,X6,X4,X5] : inverse(double_divide(double_divide(inverse(double_divide(X5,X3)),double_divide(X6,double_divide(X0,X6))),X5)) = inverse(double_divide(double_divide(X2,inverse(double_divide(X3,X0))),double_divide(X4,double_divide(X2,X4)))),
inference(forward_demodulation,[],[f1537,f628]) ).
fof(f1546,plain,
! [X3,X0] : double_divide(X0,double_divide(X3,X0)) = X3,
inference(forward_demodulation,[],[f1539,f1453]) ).
fof(f1547,plain,
! [X3,X0,X6,X5] : double_divide(X3,X0) = inverse(double_divide(double_divide(inverse(double_divide(X5,X3)),double_divide(X6,double_divide(X0,X6))),X5)),
inference(forward_demodulation,[],[f1545,f1453]) ).
fof(f1548,plain,
! [X3,X0,X5] : double_divide(X3,X0) = inverse(double_divide(double_divide(inverse(double_divide(X5,X3)),X0),X5)),
inference(forward_demodulation,[],[f1547,f1546]) ).
fof(f1553,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(double_divide(X4,double_divide(X0,double_divide(inverse(X4),X2))))) = double_divide(inverse(double_divide(X2,double_divide(X3,double_divide(X1,X3)))),double_divide(X0,X1)),
inference(superposition,[],[f1546,f182]) ).
fof(f1572,plain,
! [X2,X0,X1,X4] : double_divide(X0,inverse(X1)) = inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X0))),double_divide(X4,double_divide(X2,X4)))),
inference(superposition,[],[f31,f1546]) ).
fof(f1593,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(X1)) = inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(double_divide(X2,X0),X3)))),
inference(superposition,[],[f31,f1546]) ).
fof(f1600,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X2,X0))) = inverse(double_divide(inverse(X0),double_divide(X1,X2))),
inference(superposition,[],[f1220,f1546]) ).
fof(f1601,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f1418,f1546]) ).
fof(f1604,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X1,double_divide(X2,X1))),X2) = inverse(double_divide(X0,inverse(X0))),
inference(superposition,[],[f266,f1546]) ).
fof(f1607,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(X0,X3)))),double_divide(X4,double_divide(X2,X4)))) = double_divide(inverse(X3),inverse(double_divide(inverse(X0),double_divide(X5,double_divide(inverse(X1),X5))))),
inference(superposition,[],[f6,f1546]) ).
fof(f1608,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(X2,X3)))) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,double_divide(X0,X2))),double_divide(X5,double_divide(inverse(X1),X5))))),
inference(superposition,[],[f6,f1546]) ).
fof(f1632,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(double_divide(X0,X1),X2))) = inverse(double_divide(double_divide(X3,double_divide(inverse(X2),X3)),X0)),
inference(superposition,[],[f1220,f1546]) ).
fof(f1636,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X0))),double_divide(X3,double_divide(X2,X3)))) = double_divide(X0,inverse(X1)),
inference(superposition,[],[f27,f1546]) ).
fof(f1655,plain,
! [X2,X0,X1] : double_divide(X0,inverse(X1)) = inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X0))),X2)),
inference(forward_demodulation,[],[f1636,f1546]) ).
fof(f1657,plain,
! [X2,X0,X1] : double_divide(inverse(X0),X2) = double_divide(X1,inverse(double_divide(double_divide(X0,X1),X2))),
inference(forward_demodulation,[],[f1632,f1501]) ).
fof(f1681,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(X2,X3)))) = inverse(double_divide(double_divide(inverse(double_divide(X4,double_divide(X0,X2))),double_divide(X5,double_divide(inverse(X1),X5))),X4)),
inference(forward_demodulation,[],[f1608,f628]) ).
fof(f1682,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(X0,X3)))),double_divide(X4,double_divide(X2,X4)))) = inverse(double_divide(double_divide(inverse(X0),double_divide(X5,double_divide(inverse(X1),X5))),X3)),
inference(forward_demodulation,[],[f1607,f628]) ).
fof(f1685,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(X0))) = double_divide(X1,inverse(X1)),
inference(forward_demodulation,[],[f1604,f1476]) ).
fof(f1694,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(X1)) = double_divide(X3,inverse(double_divide(double_divide(double_divide(X2,X0),X3),double_divide(X1,X0)))),
inference(forward_demodulation,[],[f1593,f1600]) ).
fof(f1709,plain,
! [X2,X0,X1,X4] : double_divide(X0,inverse(X1)) = double_divide(X4,inverse(double_divide(double_divide(X2,X4),double_divide(X1,double_divide(X2,X0))))),
inference(forward_demodulation,[],[f1572,f1600]) ).
fof(f1722,plain,
! [X2,X0,X1,X4] : inverse(inverse(double_divide(X4,double_divide(X0,double_divide(inverse(X4),X2))))) = double_divide(inverse(double_divide(X2,X1)),double_divide(X0,X1)),
inference(forward_demodulation,[],[f1553,f1546]) ).
fof(f1732,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = inverse(double_divide(X1,inverse(X0))),
inference(forward_demodulation,[],[f1655,f1476]) ).
fof(f1747,plain,
! [X2,X3,X0,X1,X5] : inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(X2,X3)))) = double_divide(double_divide(X0,X2),double_divide(X5,double_divide(inverse(X1),X5))),
inference(forward_demodulation,[],[f1681,f1548]) ).
fof(f1748,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(X0,X3)))),double_divide(X4,double_divide(X2,X4)))) = inverse(double_divide(double_divide(inverse(X0),inverse(X1)),X3)),
inference(forward_demodulation,[],[f1682,f1546]) ).
fof(f1755,plain,
! [X2,X0,X1] : double_divide(X2,inverse(X1)) = double_divide(inverse(double_divide(X2,X0)),double_divide(X1,X0)),
inference(forward_demodulation,[],[f1694,f1657]) ).
fof(f1764,plain,
! [X2,X0,X1] : double_divide(X0,inverse(X1)) = double_divide(inverse(X2),double_divide(X1,double_divide(X2,X0))),
inference(forward_demodulation,[],[f1709,f1657]) ).
fof(f1769,plain,
! [X2,X0,X1,X4] : double_divide(X4,double_divide(X0,double_divide(inverse(X4),X2))) = double_divide(inverse(double_divide(X2,X1)),double_divide(X0,X1)),
inference(forward_demodulation,[],[f1722,f1601]) ).
fof(f1786,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(X2,X3)))) = double_divide(double_divide(X0,X2),inverse(X1)),
inference(forward_demodulation,[],[f1747,f1546]) ).
fof(f1787,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(X0,X3)))),double_divide(X4,double_divide(X2,X4)))) = inverse(double_divide(inverse(double_divide(X1,X0)),X3)),
inference(forward_demodulation,[],[f1748,f628]) ).
fof(f1796,plain,
! [X2,X0,X4] : double_divide(X4,double_divide(X0,double_divide(inverse(X4),X2))) = double_divide(X2,inverse(X0)),
inference(forward_demodulation,[],[f1769,f1755]) ).
fof(f1803,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,X2),inverse(X1)) = double_divide(X3,inverse(double_divide(double_divide(X2,X3),double_divide(X1,X0)))),
inference(forward_demodulation,[],[f1786,f1600]) ).
fof(f1804,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(X1,X0)),X3)) = double_divide(X4,inverse(double_divide(double_divide(X2,X4),double_divide(X1,double_divide(X2,double_divide(X0,X3)))))),
inference(forward_demodulation,[],[f1787,f1600]) ).
fof(f1811,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),inverse(X1)) = double_divide(inverse(X2),double_divide(X1,X0)),
inference(forward_demodulation,[],[f1803,f1657]) ).
fof(f1812,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X0)),X3)) = double_divide(inverse(X2),double_divide(X1,double_divide(X2,double_divide(X0,X3)))),
inference(forward_demodulation,[],[f1804,f1657]) ).
fof(f1815,plain,
! [X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X0)),X3)) = double_divide(double_divide(X0,X3),inverse(X1)),
inference(forward_demodulation,[],[f1812,f1764]) ).
fof(f1817,plain,
! [X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X0)),X3)) = double_divide(inverse(X3),double_divide(X1,X0)),
inference(forward_demodulation,[],[f1815,f1811]) ).
fof(f7291,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(X1)),X2) = double_divide(X1,double_divide(inverse(X2),X0)),
inference(superposition,[],[f1544,f1796]) ).
fof(f10445,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(superposition,[],[f5,f1817]) ).
fof(f10515,plain,
( double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),inverse(c3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(forward_demodulation,[],[f10445,f1732]) ).
fof(f10626,plain,
( a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(forward_subsumption_resolution,[],[f10515,f1811]) ).
fof(f10720,plain,
( a2 != double_divide(double_divide(b2,inverse(b2)),inverse(a2))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(forward_demodulation,[],[f10626,f1732]) ).
fof(f10794,plain,
( a2 != double_divide(b2,double_divide(inverse(inverse(a2)),b2))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(forward_demodulation,[],[f10720,f7291]) ).
fof(f10837,plain,
( a2 != inverse(inverse(a2))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(forward_demodulation,[],[f10794,f1546]) ).
fof(f10868,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(forward_subsumption_resolution,[],[f10837,f1601]) ).
fof(f10890,plain,
inverse(double_divide(a1,inverse(a1))) != double_divide(b1,inverse(b1)),
inference(forward_demodulation,[],[f10868,f1732]) ).
fof(f10909,plain,
$false,
inference(forward_subsumption_resolution,[],[f10890,f1685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP082-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:13:50 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
% 8.73/2.09 % (2277288)Input is clausal, will run a generic CNF schedule.
% 8.73/2.09 % (2277294)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2880121479:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.73/2.09 % (2277298)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2985102092:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.73/2.09 % (2277297)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=386263553:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.73/2.09 % (2277295)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4005029815:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.73/2.09 % (2277293)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=3118366051:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.73/2.09 % (2277296)lrs+10_1_sil=8000:sp=occurrence:random_seed=916463947:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.73/2.09 % (2277299)dis-21_1_sil=8000:lcm=predicate:random_seed=1932010666: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)
% 8.73/2.09 % (2277299)Refutation not found, incomplete strategy
% 8.73/2.09 % (2277299)------------------------------
% 8.73/2.09 % (2277299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277299)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277299)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.09 % (2277299)Time elapsed: 0.001 s
% 8.73/2.09 % (2277299)Peak memory usage: 88 MB
% 8.73/2.09 % (2277296)Instruction limit reached!
% 8.73/2.09 % (2277296)------------------------------
% 8.73/2.09 % (2277296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277296)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277296)Termination reason: Instruction limit
% 8.73/2.09 % (2277296)Termination phase: Saturation
% 8.73/2.09 % (2277296)Time elapsed: 0.065 s
% 8.73/2.09 % (2277296)Peak memory usage: 89 MB
% 8.73/2.09 % (2277296)Instructions burned: 109 (million)
% 8.73/2.09 % (2277297)Instruction limit reached!
% 8.73/2.09 % (2277297)------------------------------
% 8.73/2.09 % (2277297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277297)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277297)Termination reason: Instruction limit
% 8.73/2.09 % (2277297)Termination phase: Saturation
% 8.73/2.09 % (2277297)Time elapsed: 0.071 s
% 8.73/2.09 % (2277297)Peak memory usage: 89 MB
% 8.73/2.09 % (2277297)Instructions burned: 115 (million)
% 8.73/2.09 % (2277298)Instruction limit reached!
% 8.73/2.09 % (2277298)------------------------------
% 8.73/2.09 % (2277298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277298)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277298)Termination reason: Instruction limit
% 8.73/2.09 % (2277298)Termination phase: Saturation
% 8.73/2.09 % (2277298)Time elapsed: 0.106 s
% 8.73/2.09 % (2277298)Peak memory usage: 89 MB
% 8.73/2.09 % (2277298)Instructions burned: 181 (million)
% 8.73/2.09 % (2277307)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=670319756:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.73/2.09 % (2277307)Refutation not found, incomplete strategy
% 8.73/2.09 % (2277307)------------------------------
% 8.73/2.09 % (2277307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277307)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277307)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.09 % (2277307)Time elapsed: 0.001 s
% 8.73/2.09 % (2277307)Peak memory usage: 88 MB
% 8.73/2.09 % (2277308)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2338530272: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)
% 8.73/2.09 % (2277308)Refutation not found, incomplete strategy
% 8.73/2.09 % (2277308)------------------------------
% 8.73/2.09 % (2277308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277308)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277308)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.09 % (2277308)Time elapsed: 0.001 s
% 8.73/2.09 % (2277308)Peak memory usage: 88 MB
% 8.73/2.09 % (2277299)------------------------------
% 8.73/2.09 % (2277299)------------------------------
% 8.73/2.09 % (2277309)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=692781050:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.73/2.09 % (2277309)Refutation not found, incomplete strategy
% 8.73/2.09 % (2277309)------------------------------
% 8.73/2.09 % (2277309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277309)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277309)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.09 % (2277309)Time elapsed: 0.001 s
% 8.73/2.09 % (2277309)Peak memory usage: 88 MB
% 8.73/2.09 % (2277313)lrs+10_64_to=lpo:sil=8000:random_seed=1580207901:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.73/2.09 % (2277313)Instruction limit reached!
% 8.73/2.09 % (2277313)------------------------------
% 8.73/2.09 % (2277313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277313)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277313)Termination reason: Instruction limit
% 8.73/2.09 % (2277313)Termination phase: Saturation
% 8.73/2.09 % (2277313)Time elapsed: 0.041 s
% 8.73/2.09 % (2277313)Peak memory usage: 89 MB
% 8.73/2.09 % (2277313)Instructions burned: 127 (million)
% 8.73/2.09 % (2277307)------------------------------
% 8.73/2.09 % (2277307)------------------------------
% 8.73/2.09 % (2277308)------------------------------
% 8.73/2.09 % (2277308)------------------------------
% 8.73/2.09 % (2277315)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2171277719:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.73/2.09 % (2277309)------------------------------
% 8.73/2.09 % (2277309)------------------------------
% 8.73/2.09 % (2277315)Instruction limit reached!
% 8.73/2.09 % (2277315)------------------------------
% 8.73/2.09 % (2277315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277315)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277315)Termination reason: Instruction limit
% 8.73/2.09 % (2277315)Termination phase: Saturation
% 8.73/2.09 % (2277315)Time elapsed: 0.063 s
% 8.73/2.09 % (2277315)Peak memory usage: 90 MB
% 8.73/2.09 % (2277315)Instructions burned: 196 (million)
% 8.73/2.09 % (2277316)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=495009789:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.73/2.09 % (2277317)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4211490819:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.73/2.09 % (2277319)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=289011601:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.73/2.09 % (2277320)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2756559032:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.73/2.09 % (2277320)Refutation not found, incomplete strategy
% 8.73/2.09 % (2277320)------------------------------
% 8.73/2.09 % (2277320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277320)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277320)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.09 % (2277320)Time elapsed: 0.0000 s
% 8.73/2.09 % (2277320)Peak memory usage: 88 MB
% 8.73/2.09 % (2277316)Instruction limit reached!
% 8.73/2.09 % (2277316)------------------------------
% 8.73/2.09 % (2277316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277316)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277316)Termination reason: Instruction limit
% 8.73/2.09 % (2277316)Termination phase: Saturation
% 8.73/2.09 % (2277316)Time elapsed: 0.087 s
% 8.73/2.09 % (2277316)Peak memory usage: 91 MB
% 8.73/2.09 % (2277316)Instructions burned: 157 (million)
% 8.73/2.09 % (2277319)Instruction limit reached!
% 8.73/2.09 % (2277319)------------------------------
% 8.73/2.09 % (2277319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277319)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277319)Termination reason: Instruction limit
% 8.73/2.09 % (2277319)Termination phase: Saturation
% 8.73/2.09 % (2277319)Time elapsed: 0.067 s
% 8.73/2.09 % (2277319)Peak memory usage: 89 MB
% 8.73/2.09 % (2277319)Instructions burned: 107 (million)
% 8.73/2.09 % (2277325)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2651821643:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.73/2.09 % (2277320)------------------------------
% 8.73/2.09 % (2277320)------------------------------
% 8.73/2.09 % (2277294)First to succeed.
% 8.73/2.09 % (2277294)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2277288"
% 8.73/2.09 % (2277326)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1014822870:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.73/2.09 % (2277328)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=634091113:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 8.73/2.09 % (2277325)Instruction limit reached!
% 8.73/2.09 % (2277325)------------------------------
% 8.73/2.09 % (2277325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277325)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277325)Termination reason: Instruction limit
% 8.73/2.09 % (2277325)Termination phase: Saturation
% 8.73/2.09 % (2277325)Time elapsed: 0.135 s
% 8.73/2.09 % (2277325)Peak memory usage: 91 MB
% 8.73/2.09 % (2277325)Instructions burned: 243 (million)
% 8.73/2.09 % (2277328)Instruction limit reached!
% 8.73/2.09 % (2277328)------------------------------
% 8.73/2.09 % (2277328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.09 % (2277328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.09 % (2277328)CaDiCaL version: 2.1.3
% 8.73/2.09 % (2277328)Termination reason: Instruction limit
% 8.73/2.09 % (2277328)Termination phase: Saturation
% 8.73/2.09 % (2277328)Time elapsed: 0.043 s
% 8.73/2.09 % (2277328)Peak memory usage: 89 MB
% 8.73/2.09 % (2277328)Instructions burned: 135 (million)
% 8.73/2.09 % (2277332)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2411270574:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 8.73/2.09 % (2277331)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1735306360:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.73/2.09 % (2277294)Refutation found. Thanks to Tanya!
% 8.73/2.09 % SZS status Unsatisfiable for theBenchmark
% 8.73/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 9.26/2.29 % (2277294)------------------------------
% 9.26/2.29 % (2277294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.29 % (2277294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.29 % (2277294)CaDiCaL version: 2.1.3
% 9.26/2.29 % (2277294)Termination reason: Refutation
% 9.26/2.29 % (2277294)Time elapsed: 0.859 s
% 9.26/2.29 % (2277294)Peak memory usage: 136 MB
% 9.26/2.29 % (2277294)Instructions burned: 1725 (million)
% 9.26/2.29 % (2277294)------------------------------
% 9.26/2.29 % (2277294)------------------------------
% 9.26/2.29 % (2277288)Success in time 1.235 s
% 9.26/2.29 % Vampire exiting
%------------------------------------------------------------------------------