%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP473-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 10:14:05 AM UTC 2026
% Result : Unsatisfiable 10.24s 2.08s
% Output : Refutation 10.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 7
% Syntax : Number of formulae : 208 ( 208 unt; 4 def)
% Number of atoms : 208 ( 207 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 228 ( 228 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f4,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(definition_unfolding,[],[f4,f2,f2]) ).
fof(f6,definition,
sF0 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
inverse(b2) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = divide(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
divide(sF0,sF0) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = inverse(a2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
inverse(a2) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = divide(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
divide(sF1,sF2) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
a2 != sF3,
inference(definition_folding,[],[f5,f13,f11,f9,f7,f7]) ).
fof(f15,plain,
divide(inverse(b2),inverse(b2)) = sF1,
inference(forward_demodulation,[],[f9,f7]) ).
fof(f16,plain,
sF3 = divide(sF1,inverse(a2)),
inference(forward_demodulation,[],[f13,f11]) ).
fof(f17,plain,
! [X0,X1] : inverse(a2) = divide(divide(inverse(sF3),divide(divide(X0,X1),sF1)),divide(X1,X0)),
inference(superposition,[],[f1,f16]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,X2) = divide(divide(inverse(X3),divide(divide(X5,X4),divide(inverse(divide(X0,X3)),divide(divide(X2,X1),X0)))),divide(X4,X5)),
inference(superposition,[],[f1,f1]) ).
fof(f20,plain,
! [X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(sF3,X0)),divide(inverse(a2),sF1)) = X1,
inference(superposition,[],[f1,f16]) ).
fof(f21,plain,
! [X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(sF1,X0)),sF1) = X1,
inference(superposition,[],[f1,f15]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(X1,X2),X4)),X3),divide(divide(divide(X2,X1),X0),inverse(divide(X0,X3)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f24,plain,
! [X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(divide(inverse(a2),sF1),X0)),sF3) = X1,
inference(superposition,[],[f1,f16]) ).
fof(f26,plain,
inverse(a2) = divide(divide(inverse(sF3),divide(sF1,sF1)),sF1),
inference(superposition,[],[f21,f16]) ).
fof(f27,plain,
inverse(b2) = divide(divide(inverse(sF1),divide(sF1,inverse(b2))),sF1),
inference(superposition,[],[f21,f15]) ).
fof(f30,plain,
! [X0] : divide(divide(inverse(divide(inverse(a2),X0)),sF3),sF1) = X0,
inference(superposition,[],[f21,f16]) ).
fof(f40,plain,
! [X0] : sF1 = divide(divide(inverse(X0),divide(sF1,divide(inverse(divide(inverse(a2),X0)),sF3))),sF1),
inference(superposition,[],[f21,f30]) ).
fof(f44,plain,
! [X0,X1] : divide(divide(inverse(divide(sF1,X1)),X0),divide(sF3,inverse(divide(inverse(a2),X0)))) = X1,
inference(superposition,[],[f1,f30]) ).
fof(f50,plain,
inverse(a2) = divide(divide(inverse(sF3),divide(sF3,sF1)),divide(inverse(a2),sF1)),
inference(superposition,[],[f17,f16]) ).
fof(f59,plain,
inverse(a2) = divide(divide(inverse(sF3),inverse(a2)),divide(divide(sF1,sF1),inverse(sF3))),
inference(superposition,[],[f17,f26]) ).
fof(f61,plain,
! [X0] : inverse(a2) = divide(divide(inverse(sF3),X0),divide(sF3,inverse(divide(inverse(a2),X0)))),
inference(superposition,[],[f17,f30]) ).
fof(f110,plain,
! [X0,X1] : divide(X1,X0) = divide(divide(inverse(inverse(a2)),divide(divide(inverse(a2),sF1),divide(inverse(sF3),divide(divide(X0,X1),sF1)))),sF3),
inference(superposition,[],[f24,f17]) ).
fof(f111,plain,
divide(inverse(a2),sF1) = divide(divide(inverse(inverse(a2)),divide(divide(inverse(a2),sF1),divide(inverse(sF3),divide(sF3,sF1)))),sF3),
inference(superposition,[],[f24,f50]) ).
fof(f112,plain,
! [X0,X1] : divide(inverse(a2),sF1) = divide(divide(inverse(X1),divide(divide(inverse(a2),sF1),divide(inverse(divide(X0,X1)),divide(sF3,X0)))),sF3),
inference(superposition,[],[f24,f20]) ).
fof(f116,plain,
sF1 = divide(divide(inverse(inverse(a2)),divide(divide(inverse(a2),sF1),divide(inverse(sF3),divide(sF1,sF1)))),sF3),
inference(superposition,[],[f24,f26]) ).
fof(f159,plain,
divide(divide(sF1,sF1),inverse(sF3)) = divide(divide(inverse(inverse(a2)),divide(divide(inverse(a2),sF1),divide(inverse(sF3),inverse(a2)))),sF3),
inference(superposition,[],[f24,f59]) ).
fof(f168,plain,
! [X0] : divide(sF3,inverse(divide(inverse(a2),X0))) = divide(divide(inverse(inverse(a2)),divide(divide(inverse(a2),sF1),divide(inverse(sF3),X0))),sF3),
inference(superposition,[],[f24,f61]) ).
fof(f170,plain,
! [X0,X1] : divide(X1,X0) = divide(sF3,inverse(divide(inverse(a2),divide(divide(X0,X1),sF1)))),
inference(backward_demodulation,[],[f110,f168]) ).
fof(f171,plain,
sF1 = divide(sF3,inverse(divide(inverse(a2),divide(sF1,sF1)))),
inference(backward_demodulation,[],[f116,f168]) ).
fof(f172,plain,
divide(inverse(a2),sF1) = divide(sF3,inverse(divide(inverse(a2),divide(sF3,sF1)))),
inference(backward_demodulation,[],[f111,f168]) ).
fof(f173,plain,
divide(divide(sF1,sF1),inverse(sF3)) = divide(sF3,inverse(divide(inverse(a2),inverse(a2)))),
inference(backward_demodulation,[],[f159,f168]) ).
fof(f201,plain,
inverse(divide(inverse(a2),divide(sF1,sF1))) = divide(divide(inverse(sF1),divide(divide(inverse(a2),sF1),sF3)),sF3),
inference(superposition,[],[f24,f171]) ).
fof(f214,plain,
! [X0,X1] : divide(divide(inverse(a2),sF1),divide(inverse(divide(X0,X1)),divide(sF3,X0))) = divide(sF3,inverse(divide(inverse(a2),divide(X1,sF1)))),
inference(superposition,[],[f170,f20]) ).
fof(f221,plain,
! [X0,X1] : divide(inverse(divide(inverse(a2),divide(divide(X0,X1),sF1))),sF3) = divide(sF3,inverse(divide(inverse(a2),divide(divide(X1,X0),sF1)))),
inference(superposition,[],[f170,f170]) ).
fof(f225,plain,
! [X0] : divide(sF1,divide(inverse(divide(inverse(a2),X0)),sF3)) = divide(sF3,inverse(divide(inverse(a2),divide(X0,sF1)))),
inference(superposition,[],[f170,f30]) ).
fof(f229,plain,
! [X0,X1] : divide(divide(sF1,X0),inverse(divide(X0,X1))) = divide(sF3,inverse(divide(inverse(a2),X1))),
inference(superposition,[],[f170,f21]) ).
fof(f231,plain,
divide(divide(sF1,inverse(b2)),inverse(sF1)) = divide(sF3,inverse(divide(inverse(a2),inverse(b2)))),
inference(superposition,[],[f170,f27]) ).
fof(f264,plain,
! [X0] : sF1 = divide(divide(inverse(X0),divide(sF3,inverse(divide(inverse(a2),divide(X0,sF1))))),sF1),
inference(backward_demodulation,[],[f40,f225]) ).
fof(f281,plain,
! [X0,X1] : divide(X0,X1) = divide(inverse(divide(inverse(a2),divide(divide(X0,X1),sF1))),sF3),
inference(forward_demodulation,[],[f221,f170]) ).
fof(f293,plain,
! [X1] : divide(inverse(a2),sF1) = divide(divide(inverse(X1),divide(sF3,inverse(divide(inverse(a2),divide(X1,sF1))))),sF3),
inference(backward_demodulation,[],[f112,f214]) ).
fof(f342,plain,
! [X1] : divide(inverse(divide(inverse(a2),divide(X1,sF1))),sF3) = X1,
inference(superposition,[],[f281,f24]) ).
fof(f369,plain,
! [X0] : sF3 = divide(divide(inverse(X0),divide(sF3,inverse(divide(inverse(a2),divide(X0,sF1))))),divide(inverse(a2),sF1)),
inference(superposition,[],[f20,f342]) ).
fof(f490,plain,
! [X0] : divide(sF3,inverse(divide(inverse(a2),divide(sF3,inverse(divide(inverse(a2),X0)))))) = divide(divide(sF1,divide(inverse(sF3),X0)),inverse(inverse(a2))),
inference(superposition,[],[f229,f61]) ).
fof(f491,plain,
! [X0,X1] : divide(sF3,inverse(divide(inverse(a2),divide(sF3,inverse(divide(inverse(a2),X0)))))) = divide(divide(sF1,divide(inverse(divide(sF1,X1)),X0)),inverse(X1)),
inference(superposition,[],[f229,f44]) ).
fof(f527,plain,
! [X0,X1] : divide(divide(sF1,divide(inverse(sF3),X0)),inverse(inverse(a2))) = divide(divide(sF1,divide(inverse(divide(sF1,X1)),X0)),inverse(X1)),
inference(backward_demodulation,[],[f491,f490]) ).
fof(f541,plain,
! [X0] : divide(divide(inverse(divide(inverse(sF1),X0)),divide(sF3,inverse(divide(inverse(a2),inverse(b2))))),divide(inverse(b2),sF1)) = X0,
inference(superposition,[],[f1,f231]) ).
fof(f554,plain,
sF1 = divide(divide(inverse(sF1),sF1),sF1),
inference(superposition,[],[f264,f171]) ).
fof(f555,plain,
sF1 = divide(divide(inverse(sF3),divide(inverse(a2),sF1)),sF1),
inference(superposition,[],[f264,f172]) ).
fof(f556,plain,
! [X0,X1] : sF1 = divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),sF1),
inference(superposition,[],[f264,f170]) ).
fof(f559,plain,
! [X0] : divide(inverse(X0),divide(sF3,inverse(divide(inverse(a2),divide(X0,sF1))))) = divide(inverse(divide(inverse(a2),sF1)),sF3),
inference(superposition,[],[f342,f264]) ).
fof(f578,plain,
divide(inverse(a2),sF1) = divide(divide(inverse(divide(inverse(a2),sF1)),sF3),sF3),
inference(backward_demodulation,[],[f293,f559]) ).
fof(f579,plain,
sF3 = divide(divide(inverse(divide(inverse(a2),sF1)),sF3),divide(inverse(a2),sF1)),
inference(backward_demodulation,[],[f369,f559]) ).
fof(f604,plain,
divide(sF3,inverse(divide(inverse(a2),sF1))) = divide(sF1,inverse(sF1)),
inference(superposition,[],[f170,f554]) ).
fof(f606,plain,
divide(inverse(sF1),sF1) = divide(inverse(divide(inverse(a2),sF1)),sF3),
inference(superposition,[],[f342,f554]) ).
fof(f614,plain,
sF1 = divide(divide(inverse(sF1),divide(sF3,divide(inverse(sF1),sF1))),divide(inverse(a2),sF1)),
inference(superposition,[],[f20,f554]) ).
fof(f615,plain,
sF1 = divide(divide(inverse(sF1),divide(divide(inverse(a2),sF1),divide(inverse(sF1),sF1))),sF3),
inference(superposition,[],[f24,f554]) ).
fof(f616,plain,
divide(sF3,inverse(divide(inverse(a2),divide(sF1,sF1)))) = divide(sF1,divide(inverse(sF1),sF1)),
inference(superposition,[],[f170,f554]) ).
fof(f618,plain,
! [X0] : divide(divide(inverse(divide(sF1,X0)),sF1),divide(sF1,inverse(sF1))) = X0,
inference(superposition,[],[f1,f554]) ).
fof(f619,plain,
sF1 = divide(sF1,divide(inverse(sF1),sF1)),
inference(forward_demodulation,[],[f616,f171]) ).
fof(f623,plain,
divide(inverse(a2),sF1) = divide(divide(inverse(sF1),sF1),sF3),
inference(backward_demodulation,[],[f578,f606]) ).
fof(f624,plain,
sF3 = divide(divide(inverse(sF1),sF1),divide(inverse(a2),sF1)),
inference(backward_demodulation,[],[f579,f606]) ).
fof(f824,plain,
divide(sF3,inverse(divide(inverse(a2),divide(divide(inverse(a2),sF1),sF1)))) = divide(sF3,divide(inverse(sF1),sF1)),
inference(superposition,[],[f170,f623]) ).
fof(f827,plain,
! [X0] : divide(divide(inverse(divide(sF3,X0)),divide(inverse(a2),sF1)),divide(sF1,inverse(sF1))) = X0,
inference(superposition,[],[f1,f623]) ).
fof(f828,plain,
divide(sF1,inverse(a2)) = divide(sF3,divide(inverse(sF1),sF1)),
inference(forward_demodulation,[],[f824,f170]) ).
fof(f829,plain,
sF3 = divide(sF3,divide(inverse(sF1),sF1)),
inference(forward_demodulation,[],[f828,f16]) ).
fof(f830,plain,
sF1 = divide(divide(inverse(sF1),sF3),divide(inverse(a2),sF1)),
inference(backward_demodulation,[],[f614,f829]) ).
fof(f841,plain,
! [X0] : divide(divide(inverse(divide(divide(inverse(sF1),sF1),X0)),sF3),divide(inverse(a2),sF1)) = X0,
inference(superposition,[],[f20,f829]) ).
fof(f850,plain,
divide(divide(inverse(a2),sF1),inverse(sF3)) = divide(sF3,inverse(divide(inverse(a2),sF1))),
inference(superposition,[],[f170,f555]) ).
fof(f852,plain,
divide(inverse(sF3),divide(inverse(a2),sF1)) = divide(inverse(divide(inverse(a2),sF1)),sF3),
inference(superposition,[],[f342,f555]) ).
fof(f876,plain,
divide(inverse(sF3),divide(inverse(a2),sF1)) = divide(inverse(sF1),sF1),
inference(forward_demodulation,[],[f852,f606]) ).
fof(f877,plain,
divide(divide(inverse(a2),sF1),inverse(sF3)) = divide(sF1,inverse(sF1)),
inference(forward_demodulation,[],[f850,f604]) ).
fof(f913,plain,
divide(sF3,inverse(divide(inverse(a2),divide(sF3,sF1)))) = divide(divide(inverse(a2),sF1),divide(inverse(sF1),sF1)),
inference(superposition,[],[f170,f624]) ).
fof(f917,plain,
divide(inverse(a2),sF1) = divide(divide(inverse(a2),sF1),divide(inverse(sF1),sF1)),
inference(forward_demodulation,[],[f913,f172]) ).
fof(f918,plain,
sF1 = divide(divide(inverse(sF1),divide(inverse(a2),sF1)),sF3),
inference(backward_demodulation,[],[f615,f917]) ).
fof(f977,plain,
divide(sF3,inverse(divide(inverse(a2),divide(sF1,sF1)))) = divide(sF3,divide(inverse(sF1),divide(inverse(a2),sF1))),
inference(superposition,[],[f170,f918]) ).
fof(f982,plain,
sF1 = divide(sF3,divide(inverse(sF1),divide(inverse(a2),sF1))),
inference(forward_demodulation,[],[f977,f171]) ).
fof(f1012,plain,
divide(divide(inverse(sF1),divide(divide(inverse(a2),sF1),sF3)),sF3) = divide(inverse(sF1),divide(inverse(a2),sF1)),
inference(superposition,[],[f24,f982]) ).
fof(f1016,plain,
inverse(divide(inverse(a2),divide(sF1,sF1))) = divide(inverse(sF1),divide(inverse(a2),sF1)),
inference(backward_demodulation,[],[f201,f1012]) ).
fof(f1091,plain,
! [X0,X1] : divide(sF3,inverse(divide(inverse(a2),divide(sF1,sF1)))) = divide(sF1,divide(inverse(divide(X0,X1)),divide(X1,X0))),
inference(superposition,[],[f170,f556]) ).
fof(f1097,plain,
! [X0,X1] : divide(sF3,divide(inverse(sF1),divide(inverse(a2),sF1))) = divide(sF1,divide(inverse(divide(X0,X1)),divide(X1,X0))),
inference(forward_demodulation,[],[f1091,f1016]) ).
fof(f1148,plain,
! [X0,X1] : sF1 = divide(sF1,divide(inverse(divide(X0,X1)),divide(X1,X0))),
inference(forward_demodulation,[],[f1097,f982]) ).
fof(f1273,plain,
! [X0] : divide(divide(inverse(divide(inverse(sF3),X0)),divide(sF1,inverse(sF1))),sF3) = X0,
inference(superposition,[],[f24,f877]) ).
fof(f1274,plain,
! [X0,X1] : inverse(sF3) = divide(divide(inverse(divide(sF1,inverse(sF1))),divide(divide(X1,X0),divide(inverse(a2),sF1))),divide(X0,X1)),
inference(superposition,[],[f1,f877]) ).
fof(f1337,plain,
! [X0] : sF1 = divide(sF1,divide(inverse(divide(sF3,inverse(divide(inverse(a2),divide(X0,sF1))))),X0)),
inference(superposition,[],[f1148,f342]) ).
fof(f1338,plain,
! [X2,X0,X1] : divide(sF3,inverse(divide(inverse(a2),X2))) = divide(sF1,inverse(divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),X2))),
inference(superposition,[],[f229,f1148]) ).
fof(f1427,plain,
divide(inverse(sF1),sF1) = divide(divide(inverse(sF1),sF1),divide(sF1,inverse(sF1))),
inference(superposition,[],[f618,f619]) ).
fof(f1428,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),divide(X1,X0)) = divide(divide(inverse(sF1),sF1),divide(sF1,inverse(sF1))),
inference(superposition,[],[f618,f1148]) ).
fof(f1442,plain,
! [X0] : divide(sF3,inverse(divide(inverse(a2),divide(X0,sF1)))) = divide(divide(sF1,inverse(sF1)),divide(inverse(divide(sF1,X0)),sF1)),
inference(superposition,[],[f170,f618]) ).
fof(f1652,plain,
divide(sF3,inverse(divide(inverse(a2),divide(divide(inverse(sF1),sF1),sF1)))) = divide(divide(sF1,inverse(sF1)),divide(inverse(sF1),sF1)),
inference(superposition,[],[f170,f1427]) ).
fof(f1658,plain,
! [X0,X1] : divide(sF1,inverse(sF1)) = divide(divide(inverse(divide(inverse(sF1),sF1)),X1),divide(divide(divide(sF1,inverse(sF1)),X0),inverse(divide(X0,X1)))),
inference(superposition,[],[f23,f1427]) ).
fof(f1660,plain,
divide(sF1,inverse(sF1)) = divide(divide(sF1,inverse(sF1)),divide(inverse(sF1),sF1)),
inference(forward_demodulation,[],[f1652,f170]) ).
fof(f1674,plain,
! [X0,X1] : divide(inverse(sF1),sF1) = divide(divide(inverse(divide(sF1,inverse(sF1))),divide(divide(X1,X0),divide(sF1,inverse(sF1)))),divide(X0,X1)),
inference(superposition,[],[f1,f1660]) ).
fof(f1743,plain,
! [X0,X1] : inverse(divide(inverse(a2),divide(divide(X0,X1),sF1))) = divide(divide(inverse(divide(X1,X0)),divide(inverse(a2),sF1)),divide(sF1,inverse(sF1))),
inference(superposition,[],[f827,f170]) ).
fof(f1781,plain,
! [X0] : inverse(divide(inverse(a2),divide(divide(X0,sF3),sF1))) = X0,
inference(backward_demodulation,[],[f827,f1743]) ).
fof(f1790,plain,
! [X0] : inverse(divide(inverse(a2),divide(X0,sF1))) = divide(inverse(divide(inverse(sF3),X0)),divide(sF1,inverse(sF1))),
inference(superposition,[],[f1781,f1273]) ).
fof(f1791,plain,
inverse(divide(inverse(a2),divide(divide(inverse(a2),sF1),sF1))) = divide(inverse(sF1),sF1),
inference(superposition,[],[f1781,f623]) ).
fof(f1798,plain,
! [X0] : sF1 = divide(divide(X0,divide(divide(divide(X0,sF3),sF1),inverse(a2))),sF1),
inference(superposition,[],[f556,f1781]) ).
fof(f1832,plain,
! [X0] : divide(sF3,inverse(divide(inverse(a2),sF1))) = divide(divide(divide(divide(X0,sF3),sF1),inverse(a2)),X0),
inference(superposition,[],[f170,f1798]) ).
fof(f1834,plain,
! [X0] : divide(inverse(divide(inverse(a2),sF1)),sF3) = divide(X0,divide(divide(divide(X0,sF3),sF1),inverse(a2))),
inference(superposition,[],[f342,f1798]) ).
fof(f1869,plain,
! [X0] : divide(inverse(sF1),sF1) = divide(X0,divide(divide(divide(X0,sF3),sF1),inverse(a2))),
inference(forward_demodulation,[],[f1834,f606]) ).
fof(f1870,plain,
! [X0] : divide(sF1,inverse(sF1)) = divide(divide(divide(divide(X0,sF3),sF1),inverse(a2)),X0),
inference(forward_demodulation,[],[f1832,f604]) ).
fof(f1962,plain,
! [X2,X3,X0,X1] : divide(X3,X0) = divide(divide(inverse(divide(sF1,inverse(sF1))),divide(divide(X2,X1),divide(inverse(divide(inverse(sF1),sF1)),divide(divide(X0,X3),divide(inverse(sF1),sF1))))),divide(X1,X2)),
inference(superposition,[],[f19,f1427]) ).
fof(f1966,plain,
! [X2,X3,X0,X1] : divide(X3,X0) = divide(divide(inverse(divide(inverse(a2),sF1)),divide(divide(X2,X1),divide(inverse(divide(inverse(sF1),sF1)),divide(divide(X0,X3),inverse(sF3))))),divide(X1,X2)),
inference(superposition,[],[f19,f876]) ).
fof(f2050,plain,
! [X2,X3,X0,X1] : divide(sF1,inverse(divide(sF1,X0))) = divide(divide(inverse(X1),divide(divide(X3,X2),divide(inverse(divide(divide(sF1,inverse(sF1)),X1)),X0))),divide(X2,X3)),
inference(superposition,[],[f19,f618]) ).
fof(f2297,plain,
! [X0] : divide(inverse(sF1),sF1) = divide(inverse(divide(inverse(a2),X0)),divide(X0,inverse(a2))),
inference(superposition,[],[f1869,f30]) ).
fof(f2306,plain,
! [X2,X0,X1] : divide(divide(divide(X0,sF3),sF1),inverse(a2)) = divide(divide(inverse(divide(inverse(sF1),sF1)),divide(divide(X2,X1),X0)),divide(X1,X2)),
inference(superposition,[],[f1,f1869]) ).
fof(f2312,plain,
! [X0] : divide(divide(divide(X0,sF3),sF1),inverse(a2)) = divide(divide(inverse(divide(inverse(sF1),sF1)),divide(sF3,X0)),divide(inverse(a2),sF1)),
inference(superposition,[],[f20,f1869]) ).
fof(f2316,plain,
! [X0] : divide(sF3,inverse(divide(inverse(a2),divide(divide(divide(X0,sF3),sF1),inverse(a2))))) = divide(divide(sF1,X0),inverse(divide(inverse(sF1),sF1))),
inference(superposition,[],[f229,f1869]) ).
fof(f2321,plain,
! [X0] : divide(divide(inverse(sF1),sF1),divide(sF3,inverse(divide(inverse(a2),divide(divide(divide(inverse(divide(sF1,X0)),sF3),sF1),inverse(a2)))))) = X0,
inference(superposition,[],[f44,f1869]) ).
fof(f2323,plain,
! [X2,X3,X0,X1] : divide(divide(divide(divide(X0,X1),sF3),sF1),inverse(a2)) = divide(divide(inverse(divide(inverse(sF1),sF1)),X3),divide(divide(divide(X1,X0),X2),inverse(divide(X2,X3)))),
inference(superposition,[],[f23,f1869]) ).
fof(f2326,plain,
divide(sF1,inverse(sF1)) = divide(divide(divide(divide(inverse(sF1),sF1),sF3),sF1),inverse(a2)),
inference(backward_demodulation,[],[f1658,f2323]) ).
fof(f2331,plain,
! [X0] : divide(divide(inverse(sF1),sF1),divide(divide(sF1,inverse(divide(sF1,X0))),inverse(divide(inverse(sF1),sF1)))) = X0,
inference(backward_demodulation,[],[f2321,f2316]) ).
fof(f2353,plain,
divide(sF1,inverse(sF1)) = divide(divide(divide(inverse(a2),sF1),sF1),inverse(a2)),
inference(forward_demodulation,[],[f2326,f623]) ).
fof(f2394,plain,
! [X0,X1] : inverse(a2) = divide(divide(inverse(divide(sF1,inverse(sF1))),divide(divide(X1,X0),divide(divide(inverse(a2),sF1),sF1))),divide(X0,X1)),
inference(superposition,[],[f1,f2353]) ).
fof(f2405,plain,
divide(inverse(a2),divide(divide(inverse(a2),sF1),sF1)) = divide(sF3,inverse(divide(inverse(a2),divide(divide(sF1,inverse(sF1)),sF1)))),
inference(superposition,[],[f170,f2353]) ).
fof(f2412,plain,
divide(inverse(a2),divide(divide(inverse(a2),sF1),sF1)) = divide(inverse(sF1),sF1),
inference(forward_demodulation,[],[f2405,f170]) ).
fof(f2413,plain,
divide(inverse(sF1),sF1) = inverse(divide(inverse(sF1),sF1)),
inference(backward_demodulation,[],[f1791,f2412]) ).
fof(f2431,plain,
! [X2,X3,X0,X1] : divide(X3,X0) = divide(divide(inverse(divide(sF1,inverse(sF1))),divide(divide(X2,X1),divide(divide(inverse(sF1),sF1),divide(divide(X0,X3),divide(inverse(sF1),sF1))))),divide(X1,X2)),
inference(backward_demodulation,[],[f1962,f2413]) ).
fof(f2432,plain,
! [X2,X3,X0,X1] : divide(X3,X0) = divide(divide(inverse(divide(inverse(a2),sF1)),divide(divide(X2,X1),divide(divide(inverse(sF1),sF1),divide(divide(X0,X3),inverse(sF3))))),divide(X1,X2)),
inference(backward_demodulation,[],[f1966,f2413]) ).
fof(f2439,plain,
! [X2,X0,X1] : divide(divide(divide(X0,sF3),sF1),inverse(a2)) = divide(divide(divide(inverse(sF1),sF1),divide(divide(X2,X1),X0)),divide(X1,X2)),
inference(backward_demodulation,[],[f2306,f2413]) ).
fof(f2440,plain,
! [X0] : divide(divide(divide(X0,sF3),sF1),inverse(a2)) = divide(divide(divide(inverse(sF1),sF1),divide(sF3,X0)),divide(inverse(a2),sF1)),
inference(backward_demodulation,[],[f2312,f2413]) ).
fof(f2444,plain,
! [X0] : divide(divide(inverse(sF1),sF1),divide(divide(sF1,inverse(divide(sF1,X0))),divide(inverse(sF1),sF1))) = X0,
inference(backward_demodulation,[],[f2331,f2413]) ).
fof(f2515,plain,
! [X2,X0,X1] : divide(divide(inverse(divide(sF1,inverse(sF1))),divide(divide(X2,X1),divide(divide(divide(X0,sF3),sF1),inverse(a2)))),divide(X1,X2)) = X0,
inference(superposition,[],[f1,f1870]) ).
fof(f2543,plain,
! [X0,X1] : divide(X0,X1) = divide(divide(inverse(sF1),sF1),divide(X1,X0)),
inference(superposition,[],[f1,f2297]) ).
fof(f2553,plain,
! [X0] : divide(X0,inverse(a2)) = divide(divide(inverse(divide(inverse(sF1),sF1)),divide(sF3,inverse(divide(inverse(a2),X0)))),divide(inverse(a2),sF1)),
inference(superposition,[],[f20,f2297]) ).
fof(f2570,plain,
! [X0] : divide(X0,inverse(a2)) = divide(divide(divide(inverse(sF1),sF1),divide(sF3,inverse(divide(inverse(a2),X0)))),divide(inverse(a2),sF1)),
inference(forward_demodulation,[],[f2553,f2413]) ).
fof(f2581,plain,
! [X2,X3,X0,X1] : divide(X3,X0) = divide(divide(inverse(divide(inverse(a2),sF1)),divide(divide(X2,X1),divide(inverse(sF3),divide(X0,X3)))),divide(X1,X2)),
inference(backward_demodulation,[],[f2432,f2543]) ).
fof(f2582,plain,
! [X0] : divide(divide(inverse(sF1),sF1),divide(sF1,inverse(divide(sF1,X0)))) = X0,
inference(backward_demodulation,[],[f2444,f2543]) ).
fof(f2583,plain,
! [X2,X3,X0,X1] : divide(X3,X0) = divide(divide(inverse(divide(sF1,inverse(sF1))),divide(divide(X2,X1),divide(divide(inverse(sF1),sF1),divide(X0,X3)))),divide(X1,X2)),
inference(backward_demodulation,[],[f2431,f2543]) ).
fof(f2584,plain,
! [X2,X0,X1] : divide(divide(divide(X0,sF3),sF1),inverse(a2)) = divide(divide(X0,divide(X2,X1)),divide(X1,X2)),
inference(backward_demodulation,[],[f2439,f2543]) ).
fof(f2586,plain,
! [X0,X1] : divide(inverse(sF1),sF1) = divide(inverse(divide(X0,X1)),divide(X1,X0)),
inference(backward_demodulation,[],[f1428,f2543]) ).
fof(f2588,plain,
! [X0] : divide(divide(divide(X0,sF3),sF1),inverse(a2)) = divide(divide(X0,sF3),divide(inverse(a2),sF1)),
inference(backward_demodulation,[],[f2440,f2543]) ).
fof(f2592,plain,
! [X0] : divide(X0,inverse(a2)) = divide(divide(inverse(divide(inverse(a2),X0)),sF3),divide(inverse(a2),sF1)),
inference(forward_demodulation,[],[f2570,f2543]) ).
fof(f2598,plain,
! [X2,X0,X1] : divide(divide(inverse(divide(sF1,inverse(sF1))),divide(divide(X2,X1),divide(divide(X0,sF3),divide(inverse(a2),sF1)))),divide(X1,X2)) = X0,
inference(backward_demodulation,[],[f2515,f2588]) ).
fof(f2618,plain,
! [X2,X3,X0,X1] : divide(X3,X0) = divide(divide(inverse(divide(sF1,inverse(sF1))),divide(divide(X2,X1),divide(X3,X0))),divide(X1,X2)),
inference(forward_demodulation,[],[f2583,f2543]) ).
fof(f2619,plain,
! [X0] : divide(inverse(divide(sF1,X0)),sF1) = X0,
inference(forward_demodulation,[],[f2582,f2543]) ).
fof(f2624,plain,
inverse(sF3) = divide(inverse(a2),sF1),
inference(backward_demodulation,[],[f1274,f2618]) ).
fof(f2627,plain,
divide(inverse(sF1),sF1) = divide(sF1,inverse(sF1)),
inference(backward_demodulation,[],[f1674,f2618]) ).
fof(f2628,plain,
inverse(a2) = divide(divide(inverse(a2),sF1),sF1),
inference(backward_demodulation,[],[f2394,f2618]) ).
fof(f2629,plain,
! [X0] : divide(divide(X0,sF3),divide(inverse(a2),sF1)) = X0,
inference(backward_demodulation,[],[f2598,f2618]) ).
fof(f2631,plain,
! [X0] : divide(sF3,inverse(divide(inverse(a2),divide(X0,sF1)))) = divide(divide(sF1,inverse(sF1)),X0),
inference(backward_demodulation,[],[f1442,f2619]) ).
fof(f2633,plain,
! [X0] : divide(X0,divide(sF1,inverse(sF1))) = X0,
inference(backward_demodulation,[],[f618,f2619]) ).
fof(f2634,plain,
! [X0] : divide(divide(divide(X0,sF3),sF1),inverse(a2)) = X0,
inference(backward_demodulation,[],[f2588,f2629]) ).
fof(f2650,plain,
! [X0] : inverse(divide(divide(inverse(sF1),sF1),X0)) = X0,
inference(backward_demodulation,[],[f841,f2629]) ).
fof(f2652,plain,
! [X0] : inverse(divide(inverse(a2),X0)) = divide(X0,inverse(a2)),
inference(backward_demodulation,[],[f2592,f2629]) ).
fof(f2654,plain,
sF1 = inverse(sF1),
inference(backward_demodulation,[],[f830,f2629]) ).
fof(f2720,plain,
divide(sF1,inverse(sF1)) = inverse(divide(sF1,inverse(sF1))),
inference(backward_demodulation,[],[f2413,f2627]) ).
fof(f2821,plain,
inverse(divide(inverse(a2),divide(sF1,sF1))) = divide(inverse(sF1),inverse(sF3)),
inference(backward_demodulation,[],[f1016,f2624]) ).
fof(f2895,plain,
! [X2,X3,X0,X1] : divide(X3,X0) = divide(divide(inverse(inverse(sF3)),divide(divide(X2,X1),divide(inverse(sF3),divide(X0,X3)))),divide(X1,X2)),
inference(backward_demodulation,[],[f2581,f2624]) ).
fof(f2896,plain,
inverse(a2) = divide(inverse(sF3),sF1),
inference(backward_demodulation,[],[f2628,f2624]) ).
fof(f2903,plain,
! [X0] : inverse(divide(inverse(a2),divide(X0,sF1))) = inverse(divide(inverse(sF3),X0)),
inference(backward_demodulation,[],[f1790,f2633]) ).
fof(f2927,plain,
! [X0] : sF1 = divide(sF1,divide(inverse(divide(divide(sF1,inverse(sF1)),X0)),X0)),
inference(backward_demodulation,[],[f1337,f2631]) ).
fof(f2942,plain,
! [X0] : divide(divide(inverse(divide(sF1,X0)),divide(sF3,inverse(divide(inverse(a2),inverse(b2))))),divide(inverse(b2),sF1)) = X0,
inference(backward_demodulation,[],[f541,f2654]) ).
fof(f2986,plain,
! [X2,X3,X0,X1] : divide(sF1,inverse(divide(sF1,X0))) = divide(divide(inverse(X1),divide(divide(X3,X2),divide(inverse(divide(divide(sF1,sF1),X1)),X0))),divide(X2,X3)),
inference(backward_demodulation,[],[f2050,f2654]) ).
fof(f3001,plain,
! [X0,X1] : divide(sF1,sF1) = divide(inverse(divide(X0,X1)),divide(X1,X0)),
inference(backward_demodulation,[],[f2586,f2654]) ).
fof(f3008,plain,
! [X0] : divide(divide(divide(X0,inverse(a2)),sF3),sF1) = X0,
inference(backward_demodulation,[],[f30,f2652]) ).
fof(f3010,plain,
! [X0,X1] : divide(divide(inverse(divide(sF1,X1)),X0),divide(sF3,divide(X0,inverse(a2)))) = X1,
inference(backward_demodulation,[],[f44,f2652]) ).
fof(f3011,plain,
! [X0] : inverse(a2) = divide(divide(inverse(sF3),X0),divide(sF3,divide(X0,inverse(a2)))),
inference(backward_demodulation,[],[f61,f2652]) ).
fof(f3034,plain,
! [X2,X0,X1] : divide(sF1,inverse(divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),X2))) = divide(sF3,divide(X2,inverse(a2))),
inference(backward_demodulation,[],[f1338,f2652]) ).
fof(f3060,plain,
divide(divide(sF1,sF1),inverse(sF3)) = divide(sF3,divide(inverse(a2),inverse(a2))),
inference(backward_demodulation,[],[f173,f2652]) ).
fof(f3071,plain,
! [X0] : inverse(divide(divide(sF1,sF1),X0)) = X0,
inference(forward_demodulation,[],[f2650,f2654]) ).
fof(f3086,plain,
! [X2,X0,X1] : divide(divide(X0,divide(X2,X1)),divide(X1,X2)) = X0,
inference(backward_demodulation,[],[f2584,f2634]) ).
fof(f3106,plain,
divide(sF1,sF1) = inverse(divide(sF1,sF1)),
inference(forward_demodulation,[],[f2720,f2654]) ).
fof(f3212,plain,
inverse(divide(inverse(a2),divide(sF1,sF1))) = divide(sF1,inverse(sF3)),
inference(forward_demodulation,[],[f2821,f2654]) ).
fof(f3293,plain,
! [X0] : inverse(divide(inverse(sF3),X0)) = divide(divide(X0,sF1),inverse(a2)),
inference(forward_demodulation,[],[f2903,f2652]) ).
fof(f3303,plain,
! [X0] : sF1 = divide(sF1,divide(inverse(divide(divide(sF1,sF1),X0)),X0)),
inference(forward_demodulation,[],[f2927,f2654]) ).
fof(f3355,plain,
! [X0] : divide(divide(inverse(divide(sF1,X0)),divide(sF3,divide(inverse(b2),inverse(a2)))),divide(inverse(b2),sF1)) = X0,
inference(forward_demodulation,[],[f2942,f2652]) ).
fof(f3368,plain,
! [X2] : divide(sF3,divide(X2,inverse(a2))) = divide(sF1,inverse(divide(divide(sF1,sF1),X2))),
inference(forward_demodulation,[],[f3034,f3001]) ).
fof(f3376,plain,
! [X2,X3,X0,X1] : divide(sF1,inverse(divide(sF1,X0))) = divide(divide(inverse(X1),divide(divide(X3,X2),divide(X1,X0))),divide(X2,X3)),
inference(backward_demodulation,[],[f2986,f3071]) ).
fof(f3473,plain,
divide(sF1,inverse(sF3)) = divide(divide(sF1,sF1),inverse(a2)),
inference(forward_demodulation,[],[f3212,f2652]) ).
fof(f3527,plain,
! [X0] : sF1 = divide(sF1,divide(X0,X0)),
inference(forward_demodulation,[],[f3303,f3071]) ).
fof(f3569,plain,
! [X2] : divide(sF1,X2) = divide(sF3,divide(X2,inverse(a2))),
inference(forward_demodulation,[],[f3368,f3071]) ).
fof(f3571,plain,
! [X3,X0] : divide(X3,X0) = divide(sF1,inverse(divide(sF1,divide(X0,X3)))),
inference(backward_demodulation,[],[f2895,f3376]) ).
fof(f3637,plain,
divide(sF1,inverse(sF3)) = inverse(divide(inverse(sF3),sF1)),
inference(forward_demodulation,[],[f3473,f3293]) ).
fof(f3683,plain,
! [X0,X1] : divide(divide(inverse(divide(sF1,X1)),X0),divide(sF1,X0)) = X1,
inference(backward_demodulation,[],[f3010,f3569]) ).
fof(f3684,plain,
! [X0] : inverse(a2) = divide(divide(inverse(sF3),X0),divide(sF1,X0)),
inference(backward_demodulation,[],[f3011,f3569]) ).
fof(f3729,plain,
! [X0] : divide(divide(inverse(divide(sF1,X0)),divide(sF1,inverse(b2))),divide(inverse(b2),sF1)) = X0,
inference(backward_demodulation,[],[f3355,f3569]) ).
fof(f3732,plain,
divide(sF1,inverse(a2)) = divide(divide(sF1,sF1),inverse(sF3)),
inference(backward_demodulation,[],[f3060,f3569]) ).
fof(f3779,plain,
inverse(inverse(a2)) = divide(sF1,inverse(sF3)),
inference(forward_demodulation,[],[f3637,f2896]) ).
fof(f3823,plain,
sF3 = divide(divide(sF1,sF1),inverse(sF3)),
inference(forward_demodulation,[],[f3732,f16]) ).
fof(f3824,plain,
! [X0] : inverse(divide(sF1,X0)) = X0,
inference(forward_demodulation,[],[f3729,f3086]) ).
fof(f3888,plain,
! [X0,X1] : divide(divide(sF1,divide(inverse(sF3),X0)),inverse(inverse(a2))) = divide(divide(sF1,divide(X1,X0)),inverse(X1)),
inference(backward_demodulation,[],[f527,f3824]) ).
fof(f3889,plain,
! [X0] : divide(X0,sF1) = X0,
inference(backward_demodulation,[],[f2619,f3824]) ).
fof(f3893,plain,
! [X0,X1] : divide(divide(X1,X0),divide(sF1,X0)) = X1,
inference(backward_demodulation,[],[f3683,f3824]) ).
fof(f3912,plain,
! [X3,X0] : divide(X3,X0) = divide(sF1,divide(X0,X3)),
inference(backward_demodulation,[],[f3571,f3824]) ).
fof(f3914,plain,
sF1 = divide(sF1,sF1),
inference(backward_demodulation,[],[f3106,f3824]) ).
fof(f3979,plain,
sF3 = divide(sF1,inverse(sF3)),
inference(backward_demodulation,[],[f3823,f3914]) ).
fof(f3981,plain,
! [X0] : sF1 = divide(X0,X0),
inference(backward_demodulation,[],[f3527,f3912]) ).
fof(f4034,plain,
inverse(a2) = inverse(sF3),
inference(backward_demodulation,[],[f3684,f3893]) ).
fof(f4064,plain,
! [X0] : divide(divide(X0,inverse(a2)),sF3) = X0,
inference(backward_demodulation,[],[f3008,f3889]) ).
fof(f4097,plain,
! [X0,X1] : divide(divide(sF1,divide(inverse(sF3),X0)),inverse(inverse(a2))) = divide(divide(X0,X1),inverse(X1)),
inference(forward_demodulation,[],[f3888,f3912]) ).
fof(f4199,plain,
sF3 = inverse(inverse(a2)),
inference(backward_demodulation,[],[f3779,f3979]) ).
fof(f4343,plain,
! [X0,X1] : divide(divide(X0,inverse(sF3)),inverse(inverse(a2))) = divide(divide(X0,X1),inverse(X1)),
inference(forward_demodulation,[],[f4097,f3912]) ).
fof(f4511,plain,
! [X0,X1] : divide(divide(X0,inverse(sF3)),sF3) = divide(divide(X0,X1),inverse(X1)),
inference(forward_demodulation,[],[f4343,f4199]) ).
fof(f4603,plain,
! [X0,X1] : divide(divide(X0,inverse(a2)),sF3) = divide(divide(X0,X1),inverse(X1)),
inference(forward_demodulation,[],[f4511,f4034]) ).
fof(f4639,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f4603,f4064]) ).
fof(f4695,plain,
! [X0] : divide(sF1,inverse(X0)) = X0,
inference(superposition,[],[f4639,f3981]) ).
fof(f4740,plain,
a2 = sF3,
inference(backward_demodulation,[],[f16,f4695]) ).
fof(f4746,plain,
$false,
inference(forward_subsumption_resolution,[],[f4740,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP473-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:05:12 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.24/2.08 % (2751699)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.24/2.08 % (2751708)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=456984820:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.24/2.08 % (2751705)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1384649015:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.24/2.08 % (2751710)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3223032068:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.24/2.08 % (2751707)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=685516276:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.24/2.08 % (2751706)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1001050375:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.24/2.08 % (2751704)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2319961464:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.24/2.08 % (2751709)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2406518591:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.24/2.08 % (2751707)Instruction limit reached!
% 10.24/2.08 % (2751707)------------------------------
% 10.24/2.08 % (2751707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.08 % (2751707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.08 % (2751707)CaDiCaL version: 2.1.3
% 10.24/2.08 % (2751707)Termination reason: Instruction limit
% 10.24/2.08 % (2751707)Termination phase: Saturation
% 10.24/2.08 % (2751707)Time elapsed: 0.078 s
% 10.24/2.08 % (2751707)Peak memory usage: 89 MB
% 10.24/2.08 % (2751707)Instructions burned: 137 (million)
% 10.24/2.08 % (2751708)Instruction limit reached!
% 10.24/2.08 % (2751708)------------------------------
% 10.24/2.08 % (2751708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.08 % (2751708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.08 % (2751708)CaDiCaL version: 2.1.3
% 10.24/2.08 % (2751708)Termination reason: Instruction limit
% 10.24/2.08 % (2751708)Termination phase: Saturation
% 10.24/2.08 % (2751708)Time elapsed: 0.090 s
% 10.24/2.08 % (2751708)Peak memory usage: 89 MB
% 10.24/2.08 % (2751708)Instructions burned: 181 (million)
% 10.24/2.08 % (2751709)Instruction limit reached!
% 10.24/2.08 % (2751709)------------------------------
% 10.24/2.08 % (2751709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.08 % (2751709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.08 % (2751709)CaDiCaL version: 2.1.3
% 10.24/2.08 % (2751709)Termination reason: Instruction limit
% 10.24/2.08 % (2751709)Termination phase: Saturation
% 10.24/2.08 % (2751709)Time elapsed: 0.176 s
% 10.24/2.08 % (2751709)Peak memory usage: 91 MB
% 10.24/2.08 % (2751709)Instructions burned: 258 (million)
% 10.24/2.08 % (2751718)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1728289976:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 10.24/2.08 % (2751719)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=941411188:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 10.24/2.08 % (2751720)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=569356939:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 10.24/2.08 % (2751720)Instruction limit reached!
% 10.24/2.08 % (2751720)------------------------------
% 10.24/2.08 % (2751720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.08 % (2751720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.08 % (2751720)CaDiCaL version: 2.1.3
% 10.24/2.08 % (2751720)Termination reason: Instruction limit
% 10.24/2.08 % (2751720)Termination phase: Saturation
% 10.24/2.08 % (2751720)Time elapsed: 0.069 s
% 10.24/2.08 % (2751720)Peak memory usage: 90 MB
% 10.24/2.08 % (2751720)Instructions burned: 216 (million)
% 10.24/2.08 % (2751724)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=4272310889:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 10.24/2.08 % (2751724)Instruction limit reached!
% 10.24/2.08 % (2751724)------------------------------
% 10.24/2.08 % (2751724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.08 % (2751724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.08 % (2751724)CaDiCaL version: 2.1.3
% 10.24/2.08 % (2751724)Termination reason: Instruction limit
% 10.24/2.08 % (2751724)Termination phase: Saturation
% 10.24/2.08 % (2751724)Time elapsed: 0.099 s
% 10.24/2.08 % (2751724)Peak memory usage: 94 MB
% 10.24/2.08 % (2751724)Instructions burned: 319 (million)
% 10.24/2.08 % (2751710)Instruction limit reached!
% 10.24/2.08 % (2751710)------------------------------
% 10.24/2.08 % (2751710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.08 % (2751710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.08 % (2751710)CaDiCaL version: 2.1.3
% 10.24/2.08 % (2751710)Termination reason: Instruction limit
% 10.24/2.08 % (2751710)Termination phase: Saturation
% 10.24/2.08 % (2751710)Time elapsed: 0.615 s
% 10.24/2.08 % (2751710)Peak memory usage: 98 MB
% 10.24/2.08 % (2751710)Instructions burned: 1189 (million)
% 10.24/2.08 % (2751726)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3069551037:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 10.24/2.08 % (2751727)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=849068151:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 10.24/2.08 % (2751727)First to succeed.
% 10.24/2.08 % (2751727)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2751699"
% 10.24/2.08 % (2751727)Refutation found. Thanks to Tanya!
% 10.24/2.08 % SZS status Unsatisfiable for theBenchmark
% 10.24/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 10.72/2.27 % (2751727)------------------------------
% 10.72/2.27 % (2751727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.27 % (2751727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.27 % (2751727)CaDiCaL version: 2.1.3
% 10.72/2.27 % (2751727)Termination reason: Refutation
% 10.72/2.27 % (2751727)Time elapsed: 0.278 s
% 10.72/2.27 % (2751727)Peak memory usage: 93 MB
% 10.72/2.27 % (2751727)Instructions burned: 470 (million)
% 10.72/2.27 % (2751727)------------------------------
% 10.72/2.27 % (2751727)------------------------------
% 10.72/2.27 % (2751699)Success in time 1.462 s
% 10.72/2.27 % Vampire exiting
%------------------------------------------------------------------------------