%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP052-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:12:15 AM UTC 2026
% Result : Unsatisfiable 8.53s 2.48s
% Output : Refutation 9.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 16
% Syntax : Number of formulae : 244 ( 234 unt; 14 def)
% Number of atoms : 259 ( 239 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 12 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 21 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-2 aty)
% Number of variables : 610 ( 0 sgn 610 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(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/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,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,[],[f2]) ).
fof(f4,definition,
sF0 = inverse(a1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
inverse(a1) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = multiply(sF0,a1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
multiply(sF0,a1) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = inverse(b1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
inverse(b1) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = multiply(sF2,b1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
multiply(sF2,b1) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
inverse(b2) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF5 = multiply(sF4,b2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f15,plain,
multiply(sF4,b2) = sF5,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF6 = multiply(sF5,a2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f17,plain,
multiply(sF5,a2) = sF6,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF7 = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f19,plain,
multiply(a3,b3) = sF7,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF8 = multiply(sF7,c3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f21,plain,
multiply(sF7,c3) = sF8,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF9 = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f23,plain,
multiply(b3,c3) = sF9,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF10 = multiply(a3,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f25,plain,
multiply(a3,sF9) = sF10,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
( sF1 != sF3
| a2 != sF6
| sF8 != sF10 ),
inference(definition_folding,[],[f3,f25,f23,f21,f19,f17,f15,f13,f11,f9,f7,f5]) ).
fof(f28,definition,
( spl11_1
<=> sF8 = sF10 ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f30,plain,
( sF8 != sF10
| spl11_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f32,definition,
( spl11_2
<=> a2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f36,definition,
( spl11_3
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f39,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f26,f36,f32,f28]) ).
fof(f40,plain,
multiply(inverse(a1),a1) = sF1,
inference(forward_demodulation,[],[f7,f5]) ).
fof(f41,plain,
multiply(inverse(b1),b1) = sF3,
inference(forward_demodulation,[],[f11,f9]) ).
fof(f42,plain,
multiply(inverse(b2),b2) = sF5,
inference(forward_demodulation,[],[f15,f13]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),X0))),X3)) = multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X0)),X2))),
inference(superposition,[],[f1,f1]) ).
fof(f50,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = inverse(multiply(multiply(sF5,inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(b2))),X2))),b2)),
inference(superposition,[],[f44,f42]) ).
fof(f70,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = X2,
inference(superposition,[],[f1,f44]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0)) = X3,
inference(superposition,[],[f1,f44]) ).
fof(f91,plain,
! [X0,X1,X5] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X5)))),X1)) = X5,
inference(superposition,[],[f73,f73]) ).
fof(f123,plain,
! [X0] : a2 = inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(sF5,inverse(X0))),sF6))),X0)),
inference(superposition,[],[f91,f17]) ).
fof(f147,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X3))),X0))),X3) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X0,X2)))),
inference(superposition,[],[f70,f1]) ).
fof(f151,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X0)) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X0)),
inference(superposition,[],[f70,f91]) ).
fof(f179,plain,
! [X0,X1,X4,X5] : multiply(inverse(multiply(X1,X0)),multiply(X1,X4)) = multiply(inverse(multiply(X5,X0)),multiply(X5,X4)),
inference(superposition,[],[f151,f91]) ).
fof(f183,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(X0,multiply(multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(multiply(inverse(multiply(X4,inverse(inverse(X2)))),multiply(X4,X0)))),X3)),
inference(superposition,[],[f151,f91]) ).
fof(f275,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X0,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X0)))),X3)),
inference(superposition,[],[f179,f91]) ).
fof(f364,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X0)))),X2))),multiply(X1,X4)) = multiply(X5,multiply(multiply(multiply(X0,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X0)))),X2)),inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))),X4)),
inference(superposition,[],[f275,f91]) ).
fof(f715,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(a1))),multiply(X2,inverse(multiply(X1,a1)))) = multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(sF1,inverse(X0))),X1))),X0),
inference(superposition,[],[f147,f40]) ).
fof(f717,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(b2))),multiply(X2,inverse(multiply(X1,b2)))) = multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(sF5,inverse(X0))),X1))),X0),
inference(superposition,[],[f147,f42]) ).
fof(f747,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(multiply(inverse(multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2)),multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2)),inverse(X3))),X5))),X3) = multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2)))),multiply(X6,inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2))))),
inference(superposition,[],[f147,f183]) ).
fof(f748,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(multiply(X5,X3)),multiply(X5,X3)),inverse(X4))),inverse(multiply(X5,X1))))),X4) = multiply(inverse(multiply(X6,inverse(multiply(X5,X3)))),multiply(X6,inverse(multiply(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X0)))),X3))))),
inference(superposition,[],[f147,f275]) ).
fof(f767,plain,
! [X0,X1] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),inverse(X0))),sF5))),X0) = multiply(inverse(multiply(X1,inverse(a2))),multiply(X1,inverse(sF6))),
inference(superposition,[],[f147,f17]) ).
fof(f782,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))))) = X2,
inference(superposition,[],[f1,f147]) ).
fof(f783,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))))) = X2,
inference(superposition,[],[f91,f147]) ).
fof(f811,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))) = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))),inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))))),X2))),inverse(X4))),inverse(X3))),X5))),X3)),
inference(superposition,[],[f44,f147]) ).
fof(f815,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X0))),multiply(multiply(inverse(X1),X1),inverse(X2))))),X0) = X2,
inference(superposition,[],[f70,f147]) ).
fof(f832,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,multiply(X4,inverse(multiply(X2,X1))))),multiply(X3,X5)) = multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X0))),X2))),X0)),multiply(inverse(multiply(X4,inverse(X1))),X5)),
inference(superposition,[],[f179,f147]) ).
fof(f935,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X0),inverse(X1))),X4))),X1)) = multiply(multiply(inverse(X2),X2),inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,X2))))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,X2))))),inverse(X4)),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,X2))))))),
inference(superposition,[],[f44,f782]) ).
fof(f943,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))),inverse(X1))),multiply(inverse(X3),X3)))),X1) = multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))))),multiply(X4,inverse(X0))),
inference(superposition,[],[f147,f782]) ).
fof(f948,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3))))))),multiply(X1,X4)) = multiply(inverse(X0),multiply(multiply(inverse(X3),X3),X4)),
inference(superposition,[],[f179,f782]) ).
fof(f949,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X0,X4))))))) = multiply(inverse(multiply(multiply(inverse(X4),X4),X2)),X0),
inference(superposition,[],[f179,f782]) ).
fof(f960,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X0),inverse(X1))),X4))),X1)) = inverse(multiply(multiply(sF5,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,X2))))))),inverse(b2))),X4))),b2)),
inference(forward_demodulation,[],[f935,f50]) ).
fof(f976,plain,
! [X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X0),inverse(X1))),X4))),X1)) = inverse(multiply(multiply(sF5,inverse(multiply(inverse(multiply(inverse(X0),inverse(b2))),X4))),b2)),
inference(forward_demodulation,[],[f960,f782]) ).
fof(f996,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))) = inverse(multiply(multiply(sF5,inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))),inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))))),X2))),inverse(X4))),inverse(b2))),X5))),b2)),
inference(backward_demodulation,[],[f811,f976]) ).
fof(f1113,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),
inference(superposition,[],[f275,f815]) ).
fof(f1194,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f1113,f1113]) ).
fof(f1270,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0))),X1) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X1)),X2)))),
inference(superposition,[],[f147,f1113]) ).
fof(f1293,plain,
! [X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0))),X1) = X1,
inference(forward_demodulation,[],[f1270,f70]) ).
fof(f1364,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(inverse(X0),X0)))) = multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),inverse(X2)))),X1),
inference(superposition,[],[f147,f1194]) ).
fof(f1369,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X2),X3)),
inference(superposition,[],[f179,f1194]) ).
fof(f1370,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(X0),X0)),
inference(superposition,[],[f179,f1194]) ).
fof(f1380,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X0),X0)),X2))),X1))) = X2,
inference(superposition,[],[f1,f1194]) ).
fof(f1396,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X3)),X2)))) = X3,
inference(superposition,[],[f70,f1194]) ).
fof(f1397,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X1)) = X3,
inference(superposition,[],[f91,f1194]) ).
fof(f1401,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,X1)))))) = X3,
inference(superposition,[],[f782,f1194]) ).
fof(f1411,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X0),X0))),X3)),
inference(superposition,[],[f275,f1194]) ).
fof(f1415,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(inverse(X2)),multiply(multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(multiply(inverse(X0),X0))),X3)),
inference(superposition,[],[f183,f1194]) ).
fof(f1418,plain,
! [X0] : sF1 = multiply(inverse(X0),X0),
inference(superposition,[],[f40,f1194]) ).
fof(f1419,plain,
! [X0] : sF3 = multiply(inverse(X0),X0),
inference(superposition,[],[f41,f1194]) ).
fof(f1420,plain,
! [X0] : sF5 = multiply(inverse(X0),X0),
inference(superposition,[],[f42,f1194]) ).
fof(f1433,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)) = multiply(X3,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,X3)))),X2)),
inference(superposition,[],[f275,f1194]) ).
fof(f1471,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X0)))),X2))),multiply(X1,X4)) = multiply(X5,multiply(multiply(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))),X4)),
inference(backward_demodulation,[],[f364,f1433]) ).
fof(f1492,plain,
! [X3,X1,X6,X4,X5] : multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(multiply(X5,X3)),multiply(X5,X3)),inverse(X4))),inverse(multiply(X5,X1))))),X4) = multiply(inverse(multiply(X6,inverse(multiply(X5,X3)))),multiply(X6,inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X3))))),
inference(backward_demodulation,[],[f748,f1433]) ).
fof(f1513,plain,
! [X2,X0,X1] : inverse(multiply(multiply(sF5,inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(b2))),X2))),b2)) = multiply(X0,inverse(multiply(multiply(sF5,inverse(X2)),X1))),
inference(backward_demodulation,[],[f50,f1420]) ).
fof(f1526,plain,
! [X0] : a2 = inverse(multiply(multiply(sF5,inverse(multiply(inverse(multiply(sF5,inverse(X0))),sF6))),X0)),
inference(backward_demodulation,[],[f123,f1420]) ).
fof(f1587,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(a1))),multiply(X2,inverse(multiply(X1,a1)))) = multiply(multiply(sF5,inverse(multiply(inverse(multiply(sF1,inverse(X0))),X1))),X0),
inference(backward_demodulation,[],[f715,f1420]) ).
fof(f1589,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(b2))),multiply(X2,inverse(multiply(X1,b2)))) = multiply(multiply(sF5,inverse(multiply(inverse(multiply(sF5,inverse(X0))),X1))),X0),
inference(backward_demodulation,[],[f717,f1420]) ).
fof(f1597,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2)))),multiply(X6,inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2))))) = multiply(multiply(sF5,inverse(multiply(inverse(multiply(multiply(inverse(multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2)),multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2)),inverse(X3))),X5))),X3),
inference(backward_demodulation,[],[f747,f1420]) ).
fof(f1609,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(a2))),multiply(X1,inverse(sF6))) = multiply(multiply(sF5,inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),inverse(X0))),sF5))),X0),
inference(backward_demodulation,[],[f767,f1420]) ).
fof(f1614,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(sF5,X2),X1))))) = X2,
inference(backward_demodulation,[],[f783,f1420]) ).
fof(f1632,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,multiply(X4,inverse(multiply(X2,X1))))),multiply(X3,X5)) = multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(sF5,inverse(X0))),X2))),X0)),multiply(inverse(multiply(X4,inverse(X1))),X5)),
inference(backward_demodulation,[],[f832,f1420]) ).
fof(f1653,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))))),multiply(X4,inverse(X0))) = multiply(multiply(sF5,inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))),inverse(X1))),multiply(inverse(X3),X3)))),X1),
inference(backward_demodulation,[],[f943,f1420]) ).
fof(f1654,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3))))))),multiply(X1,X4)) = multiply(inverse(X0),multiply(sF5,X4)),
inference(backward_demodulation,[],[f948,f1420]) ).
fof(f1655,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X0,X4))))))) = multiply(inverse(multiply(sF5,X2)),X0),
inference(backward_demodulation,[],[f949,f1420]) ).
fof(f1673,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))) = inverse(multiply(multiply(sF5,inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))),inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))),inverse(multiply(inverse(multiply(sF5,inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4))))),X2))),inverse(X4))),inverse(b2))),X5))),b2)),
inference(backward_demodulation,[],[f996,f1420]) ).
fof(f1751,plain,
! [X0,X1] : multiply(multiply(sF5,inverse(multiply(inverse(X0),X0))),X1) = X1,
inference(backward_demodulation,[],[f1293,f1420]) ).
fof(f1792,plain,
sF1 = sF5,
inference(backward_demodulation,[],[f40,f1420]) ).
fof(f1803,plain,
sF1 = sF3,
inference(backward_demodulation,[],[f1419,f1418]) ).
fof(f1806,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(inverse(X2)),multiply(multiply(multiply(inverse(inverse(X2)),inverse(X2)),inverse(sF1)),X3)),
inference(forward_demodulation,[],[f1415,f1418]) ).
fof(f1810,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),multiply(multiply(multiply(inverse(X2),X2),inverse(sF1)),X3)),
inference(forward_demodulation,[],[f1411,f1418]) ).
fof(f1820,plain,
! [X2,X3,X1] : multiply(sF1,inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,X1)))))) = X3,
inference(forward_demodulation,[],[f1401,f1418]) ).
fof(f1824,plain,
! [X2,X3,X1] : inverse(multiply(multiply(sF1,inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X1)) = X3,
inference(forward_demodulation,[],[f1397,f1418]) ).
fof(f1825,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(sF1,inverse(X3)),X2)))) = X3,
inference(forward_demodulation,[],[f1396,f1418]) ).
fof(f1841,plain,
! [X2,X1] : multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(sF1),X2))),X1))) = X2,
inference(forward_demodulation,[],[f1380,f1418]) ).
fof(f1851,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),sF1),
inference(forward_demodulation,[],[f1370,f1418]) ).
fof(f1852,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(sF1),multiply(inverse(X2),X3)),
inference(forward_demodulation,[],[f1369,f1418]) ).
fof(f1857,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(sF1))) = multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(sF1,inverse(X1))),inverse(X2)))),X1),
inference(forward_demodulation,[],[f1364,f1418]) ).
fof(f1939,plain,
! [X3,X1,X6,X4,X5] : multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(multiply(inverse(multiply(X5,X3)),multiply(X5,X3)),inverse(X4))),inverse(multiply(X5,X1))))),X4) = multiply(inverse(multiply(X6,inverse(multiply(X5,X3)))),multiply(X6,inverse(multiply(inverse(sF1),multiply(inverse(X1),X3))))),
inference(forward_demodulation,[],[f1492,f1418]) ).
fof(f1955,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X0)))),X2))),multiply(X1,X4)) = multiply(X5,multiply(multiply(sF1,inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))),X4)),
inference(forward_demodulation,[],[f1471,f1418]) ).
fof(f2036,plain,
! [X1] : multiply(multiply(sF5,inverse(sF1)),X1) = X1,
inference(forward_demodulation,[],[f1751,f1418]) ).
fof(f2114,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))) = inverse(multiply(multiply(sF5,inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(sF1,inverse(X5)),X4))),inverse(multiply(multiply(sF1,inverse(X5)),X4))),inverse(multiply(inverse(multiply(sF5,inverse(inverse(multiply(multiply(sF1,inverse(X5)),X4))))),X2))),inverse(X4))),inverse(b2))),X5))),b2)),
inference(forward_demodulation,[],[f1673,f1418]) ).
fof(f2132,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X0,X4))))))) = multiply(inverse(multiply(sF1,X2)),X0),
inference(forward_demodulation,[],[f1655,f1792]) ).
fof(f2133,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3))))))),multiply(X1,X4)) = multiply(inverse(X0),multiply(sF1,X4)),
inference(forward_demodulation,[],[f1654,f1792]) ).
fof(f2134,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))))),multiply(X4,inverse(X0))) = multiply(multiply(sF5,inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))),inverse(X1))),sF1))),X1),
inference(forward_demodulation,[],[f1653,f1418]) ).
fof(f2155,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,multiply(X4,inverse(multiply(X2,X1))))),multiply(X3,X5)) = multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(sF1,inverse(X0))),X2))),X0)),multiply(inverse(multiply(X4,inverse(X1))),X5)),
inference(forward_demodulation,[],[f1632,f1792]) ).
fof(f2173,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(sF1,X2),X1))))) = X2,
inference(forward_demodulation,[],[f1614,f1792]) ).
fof(f2178,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(a2))),multiply(X1,inverse(sF6))) = multiply(multiply(sF1,inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),inverse(X0))),sF1))),X0),
inference(forward_demodulation,[],[f1609,f1792]) ).
fof(f2190,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2)))),multiply(X6,inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2))))) = multiply(multiply(sF5,inverse(multiply(inverse(multiply(sF1,inverse(X3))),X5))),X3),
inference(forward_demodulation,[],[f1597,f1418]) ).
fof(f2198,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(b2))),multiply(X2,inverse(multiply(X1,b2)))) = multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X0))),X1))),X0),
inference(forward_demodulation,[],[f1589,f1792]) ).
fof(f2200,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(a1))),multiply(X2,inverse(multiply(X1,a1)))) = multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X0))),X1))),X0),
inference(forward_demodulation,[],[f1587,f1792]) ).
fof(f2261,plain,
! [X0] : a2 = inverse(multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X0))),sF6))),X0)),
inference(forward_demodulation,[],[f1526,f1792]) ).
fof(f2274,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(sF1,inverse(X2)),X1))) = inverse(multiply(multiply(sF1,inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(b2))),X2))),b2)),
inference(forward_demodulation,[],[f1513,f1792]) ).
fof(f2280,plain,
spl11_3,
inference(avatar_split_clause,[],[f1803,f36]) ).
fof(f2283,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(inverse(X2)),multiply(multiply(sF1,inverse(sF1)),X3)),
inference(forward_demodulation,[],[f1806,f1418]) ).
fof(f2285,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),multiply(multiply(sF1,inverse(sF1)),X3)),
inference(forward_demodulation,[],[f1810,f1418]) ).
fof(f2301,plain,
! [X2,X1] : multiply(inverse(inverse(X1)),inverse(multiply(multiply(sF1,inverse(multiply(inverse(sF1),X2))),X1))) = X2,
inference(forward_demodulation,[],[f1841,f1418]) ).
fof(f2308,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(sF1))) = multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X1))),inverse(X2)))),X1),
inference(forward_demodulation,[],[f1857,f1418]) ).
fof(f2352,plain,
! [X3,X1,X6,X4,X5] : multiply(inverse(multiply(X6,inverse(multiply(X5,X3)))),multiply(X6,inverse(multiply(inverse(sF1),multiply(inverse(X1),X3))))) = multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(sF1,inverse(X4))),inverse(multiply(X5,X1))))),X4),
inference(forward_demodulation,[],[f1939,f1418]) ).
fof(f2363,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X5,multiply(multiply(sF1,inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))),X4)) = multiply(inverse(multiply(X1,multiply(multiply(sF1,inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X0)))),X2))),multiply(X1,X4)),
inference(forward_demodulation,[],[f1955,f1418]) ).
fof(f2382,plain,
! [X1] : multiply(multiply(sF1,inverse(sF1)),X1) = X1,
inference(forward_demodulation,[],[f2036,f1792]) ).
fof(f2433,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))) = inverse(multiply(multiply(sF1,inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(sF1,inverse(X5)),X4))),inverse(multiply(multiply(sF1,inverse(X5)),X4))),inverse(multiply(inverse(multiply(sF1,inverse(inverse(multiply(multiply(sF1,inverse(X5)),X4))))),X2))),inverse(X4))),inverse(b2))),X5))),b2)),
inference(forward_demodulation,[],[f2114,f1792]) ).
fof(f2441,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))))),multiply(X4,inverse(X0))) = multiply(multiply(sF5,inverse(multiply(inverse(multiply(sF1,inverse(X1))),sF1))),X1),
inference(forward_demodulation,[],[f2134,f1418]) ).
fof(f2461,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,multiply(X4,inverse(multiply(X2,X1))))),multiply(X3,X5)) = multiply(inverse(multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X0))),X2))),X0)),multiply(inverse(multiply(X4,inverse(X1))),X5)),
inference(forward_demodulation,[],[f2155,f1418]) ).
fof(f2482,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(a2))),multiply(X1,inverse(sF6))) = multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X0))),sF1))),X0),
inference(forward_demodulation,[],[f2178,f1418]) ).
fof(f2491,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X6,inverse(multiply(multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2)))),multiply(X6,inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2))))) = multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X3))),X5))),X3),
inference(forward_demodulation,[],[f2190,f1792]) ).
fof(f2586,plain,
! [X3,X1,X6,X4,X5] : multiply(inverse(multiply(X6,inverse(multiply(X5,X3)))),multiply(X6,inverse(multiply(inverse(sF1),multiply(inverse(X1),X3))))) = multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X4))),inverse(multiply(X5,X1))))),X4),
inference(forward_demodulation,[],[f2352,f1418]) ).
fof(f2601,plain,
! [X2,X3,X1] : multiply(inverse(X2),X3) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)),
inference(backward_demodulation,[],[f2285,f2382]) ).
fof(f2602,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(inverse(X2)),X3),
inference(backward_demodulation,[],[f2283,f2382]) ).
fof(f2644,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))) = multiply(multiply(multiply(inverse(inverse(multiply(multiply(sF1,inverse(X5)),X4))),inverse(multiply(multiply(sF1,inverse(X5)),X4))),inverse(multiply(inverse(multiply(sF1,inverse(inverse(multiply(multiply(sF1,inverse(X5)),X4))))),X2))),inverse(multiply(multiply(sF1,inverse(X5)),X4))),
inference(forward_demodulation,[],[f2433,f2274]) ).
fof(f2651,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3)))))))),multiply(X4,inverse(X0))) = multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X1))),sF1))),X1),
inference(forward_demodulation,[],[f2441,f1792]) ).
fof(f2670,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X3))),X5))),X3) = multiply(inverse(multiply(X6,inverse(multiply(multiply(sF1,inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2)))),multiply(X6,inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2))))),
inference(forward_demodulation,[],[f2491,f1418]) ).
fof(f2731,plain,
! [X3,X1] : inverse(multiply(multiply(sF1,inverse(multiply(inverse(inverse(X1)),X3))),X1)) = X3,
inference(backward_demodulation,[],[f1824,f2602]) ).
fof(f2746,plain,
! [X2,X0,X1,X6,X4,X5] : multiply(X5,multiply(multiply(sF1,inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))),X4)) = multiply(inverse(multiply(X1,multiply(multiply(sF1,inverse(multiply(inverse(inverse(X2)),X0))),X2))),multiply(X1,X4)),
inference(backward_demodulation,[],[f2363,f2602]) ).
fof(f2757,plain,
! [X3,X1] : multiply(sF1,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X3,X1))))) = X3,
inference(backward_demodulation,[],[f1820,f2602]) ).
fof(f2764,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(sF1,X2)),X0) = multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(inverse(X4)),inverse(multiply(X0,X4)))))),
inference(backward_demodulation,[],[f2132,f2602]) ).
fof(f2765,plain,
! [X3,X0,X1,X4] : multiply(inverse(X0),multiply(sF1,X4)) = multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X3)),inverse(multiply(X0,X3)))))),multiply(X1,X4)),
inference(backward_demodulation,[],[f2133,f2602]) ).
fof(f2780,plain,
! [X2,X3] : multiply(inverse(inverse(X2)),inverse(multiply(multiply(sF1,inverse(X3)),X2))) = X3,
inference(backward_demodulation,[],[f1825,f2602]) ).
fof(f2783,plain,
! [X2,X1] : inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(sF1,X2),X1)))) = X2,
inference(backward_demodulation,[],[f2173,f2602]) ).
fof(f2785,plain,
! [X2,X1] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X1))),inverse(X2)))),X1) = multiply(inverse(inverse(X2)),inverse(sF1)),
inference(backward_demodulation,[],[f2308,f2602]) ).
fof(f2801,plain,
! [X3,X1,X4,X5] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X4))),inverse(multiply(X5,X1))))),X4) = multiply(inverse(inverse(multiply(X5,X3))),inverse(multiply(inverse(sF1),multiply(inverse(X1),X3)))),
inference(backward_demodulation,[],[f2586,f2602]) ).
fof(f2811,plain,
! [X0,X1] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X0))),X1))),X0) = multiply(inverse(inverse(a1)),inverse(multiply(X1,a1))),
inference(backward_demodulation,[],[f2200,f2602]) ).
fof(f2821,plain,
! [X0,X1] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X0))),X1))),X0) = multiply(inverse(inverse(b2)),inverse(multiply(X1,b2))),
inference(backward_demodulation,[],[f2198,f2602]) ).
fof(f2828,plain,
! [X0] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X0))),sF1))),X0) = multiply(inverse(inverse(a2)),inverse(sF6)),
inference(backward_demodulation,[],[f2482,f2602]) ).
fof(f2843,plain,
! [X2,X3] : multiply(inverse(X2),X3) = multiply(inverse(multiply(inverse(X3),X2)),sF1),
inference(backward_demodulation,[],[f1851,f2601]) ).
fof(f2844,plain,
! [X2,X3] : multiply(inverse(X2),X3) = multiply(inverse(sF1),multiply(inverse(X2),X3)),
inference(backward_demodulation,[],[f1852,f2601]) ).
fof(f2876,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X0))),X2))),X0)),multiply(inverse(multiply(X4,inverse(X1))),X5)) = multiply(inverse(multiply(X4,inverse(multiply(X2,X1)))),X5),
inference(backward_demodulation,[],[f2461,f2601]) ).
fof(f2924,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))) = multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(inverse(multiply(multiply(sF1,inverse(X5)),X4))))),X2))),inverse(multiply(multiply(sF1,inverse(X5)),X4))),
inference(forward_demodulation,[],[f2644,f1418]) ).
fof(f2931,plain,
! [X2,X3,X0,X1] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X1))),sF1))),X1) = multiply(inverse(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(X0,X3))))))),inverse(X0)),
inference(forward_demodulation,[],[f2651,f2601]) ).
fof(f2946,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X3))),X5))),X3) = multiply(inverse(inverse(multiply(multiply(sF1,inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2))),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)))),
inference(forward_demodulation,[],[f2670,f2601]) ).
fof(f2989,plain,
multiply(inverse(inverse(a2)),inverse(sF6)) = multiply(inverse(inverse(b2)),inverse(multiply(sF1,b2))),
inference(backward_demodulation,[],[f2828,f2821]) ).
fof(f2990,plain,
a2 = inverse(multiply(inverse(inverse(b2)),inverse(multiply(sF6,b2)))),
inference(backward_demodulation,[],[f2261,f2821]) ).
fof(f2994,plain,
! [X1] : multiply(inverse(inverse(a1)),inverse(multiply(X1,a1))) = multiply(inverse(inverse(b2)),inverse(multiply(X1,b2))),
inference(backward_demodulation,[],[f2821,f2811]) ).
fof(f2999,plain,
! [X3,X1,X5] : multiply(inverse(inverse(multiply(X5,X3))),inverse(multiply(inverse(sF1),multiply(inverse(X1),X3)))) = multiply(inverse(inverse(a1)),inverse(multiply(inverse(multiply(X5,X1)),a1))),
inference(forward_demodulation,[],[f2801,f2811]) ).
fof(f3013,plain,
! [X2] : multiply(inverse(inverse(X2)),inverse(sF1)) = multiply(inverse(inverse(a1)),inverse(multiply(inverse(X2),a1))),
inference(forward_demodulation,[],[f2785,f2811]) ).
fof(f3016,plain,
! [X2] : multiply(inverse(sF1),X2) = X2,
inference(backward_demodulation,[],[f2301,f2780]) ).
fof(f3024,plain,
! [X3,X0,X4] : multiply(inverse(X0),multiply(sF1,X4)) = multiply(inverse(inverse(multiply(inverse(inverse(X3)),inverse(multiply(X0,X3))))),X4),
inference(forward_demodulation,[],[f2765,f2601]) ).
fof(f3025,plain,
! [X2,X0,X4] : multiply(inverse(multiply(sF1,X2)),X0) = multiply(inverse(X2),inverse(multiply(inverse(inverse(X4)),inverse(multiply(X0,X4))))),
inference(forward_demodulation,[],[f2764,f2601]) ).
fof(f3039,plain,
! [X2,X0,X6,X4,X5] : multiply(X5,multiply(multiply(sF1,inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))),X4)) = multiply(inverse(multiply(multiply(sF1,inverse(multiply(inverse(inverse(X2)),X0))),X2)),X4),
inference(forward_demodulation,[],[f2746,f2601]) ).
fof(f3097,plain,
! [X2,X1,X4,X5] : multiply(inverse(multiply(X4,inverse(multiply(X2,X1)))),X5) = multiply(inverse(multiply(inverse(inverse(a1)),inverse(multiply(X2,a1)))),multiply(inverse(multiply(X4,inverse(X1))),X5)),
inference(forward_demodulation,[],[f2876,f2811]) ).
fof(f3152,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))) = multiply(inverse(inverse(a1)),inverse(multiply(X2,a1))),
inference(forward_demodulation,[],[f2924,f2811]) ).
fof(f3158,plain,
! [X3,X0,X1] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X1))),sF1))),X1) = multiply(inverse(inverse(inverse(multiply(inverse(inverse(X3)),inverse(multiply(X0,X3)))))),inverse(X0)),
inference(forward_demodulation,[],[f2931,f2601]) ).
fof(f3168,plain,
! [X2,X3,X1,X4,X5] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X3))),X5))),X3) = multiply(inverse(inverse(multiply(multiply(sF1,inverse(multiply(inverse(multiply(X4,inverse(inverse(X1)))),multiply(X4,X5)))),X2))),inverse(multiply(inverse(inverse(X1)),X2))),
inference(forward_demodulation,[],[f2946,f2601]) ).
fof(f3207,plain,
multiply(inverse(inverse(a2)),inverse(sF6)) = multiply(inverse(inverse(a1)),inverse(multiply(sF1,a1))),
inference(backward_demodulation,[],[f2989,f2994]) ).
fof(f3208,plain,
a2 = inverse(multiply(inverse(inverse(a1)),inverse(multiply(sF6,a1)))),
inference(backward_demodulation,[],[f2990,f2994]) ).
fof(f3213,plain,
! [X3,X1,X5] : multiply(inverse(inverse(a1)),inverse(multiply(inverse(multiply(X5,X1)),a1))) = multiply(inverse(inverse(multiply(X5,X3))),inverse(multiply(inverse(X1),X3))),
inference(forward_demodulation,[],[f2999,f2844]) ).
fof(f3234,plain,
! [X0,X6,X4,X5] : multiply(X0,X4) = multiply(X5,multiply(multiply(sF1,inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))),X4)),
inference(forward_demodulation,[],[f3039,f2731]) ).
fof(f3271,plain,
! [X2,X1] : multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))) = multiply(inverse(inverse(a1)),inverse(multiply(X2,a1))),
inference(forward_demodulation,[],[f3152,f2601]) ).
fof(f3274,plain,
! [X3,X0] : multiply(inverse(inverse(inverse(multiply(inverse(inverse(X3)),inverse(multiply(X0,X3)))))),inverse(X0)) = multiply(inverse(inverse(a1)),inverse(multiply(sF1,a1))),
inference(forward_demodulation,[],[f3158,f2811]) ).
fof(f3281,plain,
! [X2,X3,X1,X5] : multiply(multiply(sF1,inverse(multiply(inverse(multiply(sF1,inverse(X3))),X5))),X3) = multiply(inverse(inverse(multiply(multiply(sF1,inverse(multiply(inverse(inverse(inverse(X1))),X5))),X2))),inverse(multiply(inverse(inverse(X1)),X2))),
inference(forward_demodulation,[],[f3168,f2601]) ).
fof(f3309,plain,
! [X3,X1,X5] : multiply(inverse(inverse(multiply(X5,X3))),inverse(multiply(inverse(X1),X3))) = multiply(inverse(inverse(multiply(X5,X1))),inverse(sF1)),
inference(forward_demodulation,[],[f3213,f3013]) ).
fof(f3323,plain,
! [X0,X4,X5] : multiply(X0,X4) = multiply(X5,multiply(multiply(sF1,inverse(multiply(inverse(X0),X5))),X4)),
inference(forward_demodulation,[],[f3234,f2601]) ).
fof(f3341,plain,
! [X3,X0] : multiply(inverse(inverse(a2)),inverse(sF6)) = multiply(inverse(inverse(inverse(multiply(inverse(inverse(X3)),inverse(multiply(X0,X3)))))),inverse(X0)),
inference(forward_demodulation,[],[f3274,f3207]) ).
fof(f3344,plain,
! [X2,X1,X5] : multiply(inverse(inverse(a1)),inverse(multiply(X5,a1))) = multiply(inverse(inverse(multiply(multiply(sF1,inverse(multiply(inverse(inverse(inverse(X1))),X5))),X2))),inverse(multiply(inverse(inverse(X1)),X2))),
inference(forward_demodulation,[],[f3281,f2811]) ).
fof(f3374,plain,
! [X1,X5] : multiply(inverse(inverse(a1)),inverse(multiply(X5,a1))) = multiply(inverse(inverse(multiply(multiply(sF1,inverse(multiply(inverse(inverse(inverse(X1))),X5))),inverse(X1)))),inverse(sF1)),
inference(forward_demodulation,[],[f3344,f3309]) ).
fof(f3387,plain,
! [X5] : multiply(inverse(inverse(a1)),inverse(multiply(X5,a1))) = multiply(inverse(X5),inverse(sF1)),
inference(forward_demodulation,[],[f3374,f2731]) ).
fof(f3399,plain,
! [X2,X1,X4,X5] : multiply(inverse(multiply(X4,inverse(multiply(X2,X1)))),X5) = multiply(inverse(multiply(inverse(X2),inverse(sF1))),multiply(inverse(multiply(X4,inverse(X1))),X5)),
inference(backward_demodulation,[],[f3097,f3387]) ).
fof(f3404,plain,
! [X2,X1] : multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))) = multiply(inverse(X2),inverse(sF1)),
inference(backward_demodulation,[],[f3271,f3387]) ).
fof(f3411,plain,
multiply(inverse(inverse(a2)),inverse(sF6)) = multiply(inverse(sF1),inverse(sF1)),
inference(backward_demodulation,[],[f3207,f3387]) ).
fof(f3412,plain,
a2 = inverse(multiply(inverse(sF6),inverse(sF1))),
inference(backward_demodulation,[],[f3208,f3387]) ).
fof(f3417,plain,
inverse(sF1) = multiply(inverse(inverse(a2)),inverse(sF6)),
inference(forward_demodulation,[],[f3411,f3016]) ).
fof(f3418,plain,
! [X3] : multiply(sF1,inverse(multiply(inverse(X3),inverse(sF1)))) = X3,
inference(backward_demodulation,[],[f2757,f3404]) ).
fof(f3424,plain,
! [X0,X4] : multiply(inverse(X0),multiply(sF1,X4)) = multiply(inverse(inverse(multiply(inverse(X0),inverse(sF1)))),X4),
inference(backward_demodulation,[],[f3024,f3404]) ).
fof(f3425,plain,
! [X2,X0] : multiply(inverse(multiply(sF1,X2)),X0) = multiply(inverse(X2),inverse(multiply(inverse(X0),inverse(sF1)))),
inference(backward_demodulation,[],[f3025,f3404]) ).
fof(f3428,plain,
! [X0] : multiply(inverse(inverse(a2)),inverse(sF6)) = multiply(inverse(inverse(inverse(multiply(inverse(X0),inverse(sF1))))),inverse(X0)),
inference(backward_demodulation,[],[f3341,f3404]) ).
fof(f3436,plain,
! [X2] : inverse(multiply(inverse(multiply(sF1,X2)),inverse(sF1))) = X2,
inference(backward_demodulation,[],[f2783,f3404]) ).
fof(f3437,plain,
! [X3] : multiply(inverse(multiply(sF1,inverse(X3))),inverse(sF1)) = X3,
inference(backward_demodulation,[],[f2780,f3404]) ).
fof(f3453,plain,
! [X0] : inverse(sF1) = multiply(inverse(inverse(inverse(multiply(inverse(X0),inverse(sF1))))),inverse(X0)),
inference(forward_demodulation,[],[f3428,f3417]) ).
fof(f3602,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(inverse(X1),X0))),inverse(sF1)) = multiply(inverse(inverse(sF1)),inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f3404,f2843]) ).
fof(f3610,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)) = multiply(inverse(multiply(inverse(X0),inverse(sF1))),sF1),
inference(superposition,[],[f2843,f3404]) ).
fof(f3614,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(inverse(multiply(inverse(X0),inverse(sF1))),multiply(inverse(inverse(X1)),X2)),
inference(superposition,[],[f2601,f3404]) ).
fof(f3616,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)) = multiply(inverse(inverse(sF1)),X0),
inference(forward_demodulation,[],[f3610,f2843]) ).
fof(f3625,plain,
! [X0,X1] : multiply(sF1,X1) = multiply(X0,multiply(multiply(sF1,inverse(X0)),X1)),
inference(superposition,[],[f3323,f3016]) ).
fof(f3632,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(multiply(sF1,inverse(multiply(inverse(X0),multiply(sF1,inverse(multiply(inverse(X2),X3)))))),X1)) = multiply(X3,multiply(X0,X1)),
inference(superposition,[],[f3323,f3323]) ).
fof(f3661,plain,
! [X0] : multiply(inverse(X0),inverse(sF1)) = multiply(inverse(multiply(sF1,X0)),inverse(sF1)),
inference(superposition,[],[f3425,f1418]) ).
fof(f3694,plain,
! [X2] : inverse(multiply(inverse(X2),inverse(sF1))) = X2,
inference(backward_demodulation,[],[f3436,f3661]) ).
fof(f3699,plain,
! [X3] : multiply(inverse(inverse(X3)),inverse(sF1)) = X3,
inference(backward_demodulation,[],[f3437,f3661]) ).
fof(f3710,plain,
! [X0,X1] : multiply(inverse(X1),X0) = multiply(inverse(inverse(sF1)),inverse(multiply(inverse(X0),X1))),
inference(backward_demodulation,[],[f3602,f3699]) ).
fof(f3713,plain,
! [X2,X1,X4,X5] : multiply(inverse(multiply(X4,inverse(multiply(X2,X1)))),X5) = multiply(X2,multiply(inverse(multiply(X4,inverse(X1))),X5)),
inference(backward_demodulation,[],[f3399,f3694]) ).
fof(f3714,plain,
! [X3] : multiply(sF1,X3) = X3,
inference(backward_demodulation,[],[f3418,f3694]) ).
fof(f3716,plain,
! [X0,X4] : multiply(inverse(X0),X4) = multiply(inverse(X0),multiply(sF1,X4)),
inference(backward_demodulation,[],[f3424,f3694]) ).
fof(f3719,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(X0)) = inverse(sF1),
inference(backward_demodulation,[],[f3453,f3694]) ).
fof(f3721,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(X0,multiply(inverse(inverse(X1)),X2)),
inference(backward_demodulation,[],[f3614,f3694]) ).
fof(f3725,plain,
a2 = sF6,
inference(backward_demodulation,[],[f3412,f3694]) ).
fof(f3739,plain,
spl11_2,
inference(avatar_split_clause,[],[f3725,f32]) ).
fof(f3743,plain,
! [X0,X1] : multiply(inverse(inverse(sF1)),X0) = multiply(X0,multiply(inverse(inverse(X1)),inverse(X1))),
inference(backward_demodulation,[],[f3616,f3721]) ).
fof(f3747,plain,
sF1 = inverse(sF1),
inference(forward_demodulation,[],[f3719,f1418]) ).
fof(f3760,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X0,X1)) = multiply(X2,multiply(multiply(sF1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X3))))),X1)),
inference(backward_demodulation,[],[f3632,f3716]) ).
fof(f3764,plain,
! [X0,X1] : multiply(X0,multiply(multiply(sF1,inverse(X0)),X1)) = X1,
inference(backward_demodulation,[],[f3625,f3714]) ).
fof(f3817,plain,
! [X0] : multiply(X0,sF1) = multiply(inverse(inverse(sF1)),X0),
inference(forward_demodulation,[],[f3743,f1418]) ).
fof(f3832,plain,
! [X3] : multiply(inverse(inverse(X3)),sF1) = X3,
inference(backward_demodulation,[],[f3699,f3747]) ).
fof(f3833,plain,
! [X0,X1] : multiply(inverse(X1),X0) = multiply(inverse(sF1),inverse(multiply(inverse(X0),X1))),
inference(backward_demodulation,[],[f3710,f3747]) ).
fof(f3842,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X0,X1)) = multiply(X2,multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X3)))),X1)),
inference(forward_demodulation,[],[f3760,f3714]) ).
fof(f3874,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f3764,f3714]) ).
fof(f3886,plain,
! [X0] : multiply(inverse(sF1),X0) = multiply(X0,sF1),
inference(forward_demodulation,[],[f3817,f3747]) ).
fof(f3889,plain,
! [X0,X1] : multiply(inverse(X1),X0) = multiply(sF1,inverse(multiply(inverse(X0),X1))),
inference(forward_demodulation,[],[f3833,f3747]) ).
fof(f3895,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X0,X1)) = multiply(X2,multiply(inverse(X2),multiply(inverse(multiply(inverse(X0),inverse(X3))),X1))),
inference(forward_demodulation,[],[f3842,f3713]) ).
fof(f3953,plain,
! [X0] : multiply(sF1,X0) = multiply(X0,sF1),
inference(forward_demodulation,[],[f3886,f3747]) ).
fof(f3955,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(forward_demodulation,[],[f3889,f3714]) ).
fof(f3961,plain,
! [X3,X0,X1] : multiply(X3,multiply(X0,X1)) = multiply(inverse(multiply(inverse(X0),inverse(X3))),X1),
inference(forward_demodulation,[],[f3895,f3874]) ).
fof(f3986,plain,
! [X0] : multiply(X0,sF1) = X0,
inference(forward_demodulation,[],[f3953,f3714]) ).
fof(f3997,plain,
! [X3,X0,X1] : multiply(X3,multiply(X0,X1)) = multiply(multiply(inverse(inverse(X3)),X0),X1),
inference(forward_demodulation,[],[f3961,f3955]) ).
fof(f4026,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(backward_demodulation,[],[f3832,f3986]) ).
fof(f4060,plain,
! [X3,X0,X1] : multiply(X3,multiply(X0,X1)) = multiply(multiply(X3,X0),X1),
inference(backward_demodulation,[],[f3997,f4026]) ).
fof(f4512,plain,
! [X0] : multiply(sF7,X0) = multiply(a3,multiply(b3,X0)),
inference(superposition,[],[f4060,f19]) ).
fof(f4559,plain,
multiply(sF7,c3) = multiply(a3,sF9),
inference(superposition,[],[f4512,f23]) ).
fof(f4575,plain,
multiply(sF7,c3) = sF10,
inference(forward_demodulation,[],[f4559,f25]) ).
fof(f4579,plain,
sF8 = sF10,
inference(forward_demodulation,[],[f4575,f21]) ).
fof(f4581,plain,
( $false
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f4579,f30]) ).
fof(f4582,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f4581]) ).
cnf(s1,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
spl11_3,
inference(sat_conversion,[],[f2280]) ).
cnf(s8,plain,
spl11_2,
inference(sat_conversion,[],[f3739]) ).
cnf(s10,plain,
spl11_1,
inference(sat_conversion,[],[f4582]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s2,s8,s10]) ).
fof(f4583,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.47 % Computer : n005.cluster.edu
% 0.23/0.47 % Model : x86_64 x86_64
% 0.23/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.47 % Memory : 8046.5625MB
% 0.23/0.47 % OS : Linux 6.8.0-71-generic
% 0.23/0.47 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sun Sep 27 09:16:47 UTC 2026
% 0.23/0.48 % CPUTime :
% 0.23/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.54 Running first-order theorem proving
% 0.27/0.54 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
% 8.53/2.48 % (3719521)Input is clausal, will run a generic CNF schedule.
% 8.53/2.48 % (3719563)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1385583377:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.53/2.48 % (3719566)lrs+10_1_sil=8000:sp=occurrence:random_seed=2011208005:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.53/2.48 % (3719569)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2073310846:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.53/2.48 % (3719570)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4226576152:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.53/2.48 % (3719562)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=796717839:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.53/2.48 % (3719571)dis-21_1_sil=8000:lcm=predicate:random_seed=3795488033: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)
% 8.53/2.48 % (3719565)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2549583491:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.53/2.48 % (3719571)Refutation not found, incomplete strategy
% 8.53/2.48 % (3719571)------------------------------
% 8.53/2.48 % (3719571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719571)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719571)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.48 % (3719571)Time elapsed: 0.001 s
% 8.53/2.48 % (3719571)Peak memory usage: 88 MB
% 8.53/2.48 % (3719566)Instruction limit reached!
% 8.53/2.48 % (3719566)------------------------------
% 8.53/2.48 % (3719566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719566)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719566)Termination reason: Instruction limit
% 8.53/2.48 % (3719566)Termination phase: Saturation
% 8.53/2.48 % (3719566)Time elapsed: 0.064 s
% 8.53/2.48 % (3719566)Peak memory usage: 89 MB
% 8.53/2.48 % (3719566)Instructions burned: 108 (million)
% 8.53/2.48 % (3719569)Instruction limit reached!
% 8.53/2.48 % (3719569)------------------------------
% 8.53/2.48 % (3719569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719569)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719569)Termination reason: Instruction limit
% 8.53/2.48 % (3719569)Termination phase: Saturation
% 8.53/2.48 % (3719569)Time elapsed: 0.072 s
% 8.53/2.48 % (3719569)Peak memory usage: 89 MB
% 8.53/2.48 % (3719569)Instructions burned: 115 (million)
% 8.53/2.48 % (3719570)Instruction limit reached!
% 8.53/2.48 % (3719570)------------------------------
% 8.53/2.48 % (3719570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719570)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719570)Termination reason: Instruction limit
% 8.53/2.48 % (3719570)Termination phase: Saturation
% 8.53/2.48 % (3719570)Time elapsed: 0.097 s
% 8.53/2.48 % (3719570)Peak memory usage: 89 MB
% 8.53/2.48 % (3719570)Instructions burned: 180 (million)
% 8.53/2.48 % (3719653)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2644612601: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)
% 8.53/2.48 % (3719650)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=2774721822:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.53/2.48 % (3719650)Refutation not found, incomplete strategy
% 8.53/2.48 % (3719650)------------------------------
% 8.53/2.48 % (3719650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719653)Refutation not found, incomplete strategy
% 8.53/2.48 % (3719653)------------------------------
% 8.53/2.48 % (3719653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719650)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719653)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719650)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.48 % (3719650)Time elapsed: 0.001 s
% 8.53/2.48 % (3719653)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.48 % (3719653)Time elapsed: 0.001 s
% 8.53/2.48 % (3719653)Peak memory usage: 88 MB
% 8.53/2.48 % (3719650)Peak memory usage: 88 MB
% 8.53/2.48 % (3719571)------------------------------
% 8.53/2.48 % (3719571)------------------------------
% 8.53/2.48 % (3719667)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=201382039:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.53/2.48 % (3719667)Refutation not found, incomplete strategy
% 8.53/2.48 % (3719667)------------------------------
% 8.53/2.48 % (3719667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719667)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719667)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.48 % (3719667)Time elapsed: 0.001 s
% 8.53/2.48 % (3719667)Peak memory usage: 88 MB
% 8.53/2.48 % (3719698)lrs+10_64_to=lpo:sil=8000:random_seed=526211807:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.53/2.48 % (3719653)------------------------------
% 8.53/2.48 % (3719653)------------------------------
% 8.53/2.48 % (3719650)------------------------------
% 8.53/2.48 % (3719650)------------------------------
% 8.53/2.48 % (3719667)------------------------------
% 8.53/2.48 % (3719667)------------------------------
% 8.53/2.48 % (3719698)Instruction limit reached!
% 8.53/2.48 % (3719698)------------------------------
% 8.53/2.48 % (3719698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719698)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719698)Termination reason: Instruction limit
% 8.53/2.48 % (3719698)Termination phase: Saturation
% 8.53/2.48 % (3719698)Time elapsed: 0.074 s
% 8.53/2.48 % (3719698)Peak memory usage: 88 MB
% 8.53/2.48 % (3719698)Instructions burned: 127 (million)
% 8.53/2.48 % (3719700)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=686146367:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 8.53/2.48 % (3719701)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2827215105:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.53/2.48 % (3719702)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=957490052:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.53/2.48 % (3719703)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=3556038391:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.53/2.48 % (3719701)Instruction limit reached!
% 8.53/2.48 % (3719701)------------------------------
% 8.53/2.48 % (3719701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719701)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719701)Termination reason: Instruction limit
% 8.53/2.48 % (3719701)Termination phase: Saturation
% 8.53/2.48 % (3719701)Time elapsed: 0.093 s
% 8.53/2.48 % (3719701)Peak memory usage: 90 MB
% 8.53/2.48 % (3719701)Instructions burned: 158 (million)
% 8.53/2.48 % (3719703)Instruction limit reached!
% 8.53/2.48 % (3719703)------------------------------
% 8.53/2.48 % (3719703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719703)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719703)Termination reason: Instruction limit
% 8.53/2.48 % (3719703)Termination phase: Saturation
% 8.53/2.48 % (3719703)Time elapsed: 0.060 s
% 8.53/2.48 % (3719703)Peak memory usage: 89 MB
% 8.53/2.48 % (3719703)Instructions burned: 106 (million)
% 8.53/2.48 % (3719700)Instruction limit reached!
% 8.53/2.48 % (3719700)------------------------------
% 8.53/2.48 % (3719700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719700)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719700)Termination reason: Instruction limit
% 8.53/2.48 % (3719700)Termination phase: Saturation
% 8.53/2.48 % (3719700)Time elapsed: 0.113 s
% 8.53/2.48 % (3719700)Peak memory usage: 89 MB
% 8.53/2.48 % (3719700)Instructions burned: 196 (million)
% 8.53/2.48 % (3719708)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=175124726:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 8.53/2.48 % (3719709)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1611492442:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.53/2.48 % (3719708)Refutation not found, incomplete strategy
% 8.53/2.48 % (3719708)------------------------------
% 8.53/2.48 % (3719708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719708)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719708)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.48 % (3719708)Time elapsed: 0.001 s
% 8.53/2.48 % (3719708)Peak memory usage: 87 MB
% 8.53/2.48 % (3719710)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3633677674:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 8.53/2.48 % (3719565)First to succeed.
% 8.53/2.48 % (3719565)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3719521"
% 8.53/2.48 % (3719709)Instruction limit reached!
% 8.53/2.48 % (3719709)------------------------------
% 8.53/2.48 % (3719709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.48 % (3719709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.48 % (3719709)CaDiCaL version: 2.1.3
% 8.53/2.48 % (3719709)Termination reason: Instruction limit
% 8.53/2.48 % (3719709)Termination phase: Saturation
% 8.53/2.48 % (3719709)Time elapsed: 0.138 s
% 8.53/2.48 % (3719709)Peak memory usage: 90 MB
% 8.53/2.48 % (3719709)Instructions burned: 243 (million)
% 8.53/2.48 % (3719565)Refutation found. Thanks to Tanya!
% 8.53/2.48 % SZS status Unsatisfiable for theBenchmark
% 8.53/2.48 % SZS output start Proof for theBenchmark
% See solution above
% 9.86/2.68 % (3719565)------------------------------
% 9.86/2.68 % (3719565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.86/2.68 % (3719565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/2.68 % (3719565)CaDiCaL version: 2.1.3
% 9.86/2.68 % (3719565)Termination reason: Refutation
% 9.86/2.68 % (3719565)Time elapsed: 0.938 s
% 9.86/2.68 % (3719565)Peak memory usage: 137 MB
% 9.86/2.68 % (3719565)Instructions burned: 2121 (million)
% 9.86/2.68 % (3719565)------------------------------
% 9.86/2.68 % (3719565)------------------------------
% 9.86/2.68 % (3719521)Success in time 1.274 s
% 9.86/2.68 % Vampire exiting
%------------------------------------------------------------------------------