TSTP Solution File: GRP054-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP054-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:52:54 EDT 2024
% Result : Unsatisfiable 6.23s 1.30s
% Output : Refutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 2
% Syntax : Number of formulae : 128 ( 124 unt; 0 def)
% Number of atoms : 134 ( 133 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 21 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 444 ( 444 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32598,plain,
$false,
inference(subsumption_resolution,[],[f32597,f31941]) ).
fof(f31941,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[],[f31940,f30716]) ).
fof(f30716,plain,
! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
inference(forward_demodulation,[],[f30715,f27371]) ).
fof(f27371,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f27370,f25959]) ).
fof(f25959,plain,
! [X2,X1] : inverse(X2) = inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)),
inference(forward_demodulation,[],[f25958,f25925]) ).
fof(f25925,plain,
! [X0,X4] : inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)) = X4,
inference(forward_demodulation,[],[f25924,f25408]) ).
fof(f25408,plain,
! [X2,X3,X0] : multiply(inverse(multiply(X0,X2)),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),multiply(inverse(X2),X2)))))) = X3,
inference(forward_demodulation,[],[f25407,f7848]) ).
fof(f7848,plain,
! [X2,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))) = X1,
inference(superposition,[],[f754,f7677]) ).
fof(f7677,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f7490,f753]) ).
fof(f753,plain,
! [X3,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,X1)))),inverse(multiply(X1,inverse(multiply(inverse(X1),X1))))) = X3,
inference(superposition,[],[f27,f529]) ).
fof(f529,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))) = inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X1))),
inference(superposition,[],[f1,f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1)) = X3,
inference(superposition,[],[f1,f15]) ).
fof(f15,plain,
! [X3,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)) = inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f27,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1) = X3,
inference(superposition,[],[f15,f15]) ).
fof(f7490,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,X2)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f754,f7313]) ).
fof(f7313,plain,
! [X2,X1] : inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f7126,f753]) ).
fof(f7126,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))),multiply(inverse(X0),X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f754,f6806]) ).
fof(f6806,plain,
! [X2,X3,X1] : multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2))))) = multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X3),X3))))),
inference(superposition,[],[f753,f6660]) ).
fof(f6660,plain,
! [X1,X6,X7,X5] : inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(X6),inverse(multiply(X1,inverse(multiply(inverse(X7),X7)))))))),multiply(X5,X1))) = X6,
inference(forward_demodulation,[],[f6507,f17]) ).
fof(f17,plain,
! [X3,X1,X4] : inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f6507,plain,
! [X3,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(X5,inverse(multiply(inverse(X6),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)))),inverse(multiply(inverse(X7),X7)))))))),multiply(X5,inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))))))) = X6,
inference(superposition,[],[f6203,f14]) ).
fof(f14,plain,
! [X3,X1,X6,X4,X5] : multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6)) = inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)))),
inference(superposition,[],[f3,f3]) ).
fof(f6203,plain,
! [X3,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),inverse(multiply(multiply(X6,X1),inverse(multiply(inverse(X3),X3)))))))),multiply(X4,multiply(X6,X1)))) = X5,
inference(superposition,[],[f978,f27]) ).
fof(f978,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(multiply(X0,X1),inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X1))))))))),multiply(X3,multiply(X0,X1)))) = X4,
inference(superposition,[],[f1,f716]) ).
fof(f716,plain,
! [X3,X1,X4,X5] : inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X1))) = inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,X1))),
inference(superposition,[],[f529,f529]) ).
fof(f754,plain,
! [X3,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X1)))),inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))) = X3,
inference(superposition,[],[f33,f529]) ).
fof(f25407,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),multiply(inverse(X2),X2)))))) = X3,
inference(forward_demodulation,[],[f25118,f25067]) ).
fof(f25067,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))) = multiply(inverse(X0),X1),
inference(superposition,[],[f24858,f1240]) ).
fof(f1240,plain,
! [X3,X1,X4,X5] : multiply(inverse(multiply(X3,X1)),multiply(X3,X4)) = multiply(inverse(multiply(X5,X1)),multiply(X5,X4)),
inference(superposition,[],[f1169,f1]) ).
fof(f1169,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(superposition,[],[f15,f753]) ).
fof(f24858,plain,
! [X2,X3] : inverse(multiply(inverse(X3),multiply(inverse(X2),X2))) = X3,
inference(forward_demodulation,[],[f24742,f15118]) ).
fof(f15118,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(X3,inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0)))))))) = X3,
inference(superposition,[],[f12756,f14029]) ).
fof(f14029,plain,
! [X2,X1] : multiply(inverse(X2),X2) = inverse(inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f13832,f13832]) ).
fof(f13832,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f13660,f15]) ).
fof(f13660,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X2,X3))),
inference(superposition,[],[f1,f13109]) ).
fof(f13109,plain,
! [X2,X1] : inverse(multiply(inverse(X2),X2)) = inverse(inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f12756,f11725]) ).
fof(f11725,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f8187,f11446]) ).
fof(f11446,plain,
! [X1,X5] : inverse(inverse(multiply(inverse(X1),X1))) = inverse(inverse(multiply(inverse(X5),X5))),
inference(forward_demodulation,[],[f11233,f17]) ).
fof(f11233,plain,
! [X3,X1,X4,X5] : inverse(inverse(multiply(inverse(X5),X5))) = inverse(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))))),inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))))))),
inference(superposition,[],[f7851,f14]) ).
fof(f7851,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X2),X2))) = inverse(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X1)))),
inference(superposition,[],[f1749,f7677]) ).
fof(f1749,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)))) = inverse(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
inference(superposition,[],[f17,f754]) ).
fof(f8187,plain,
! [X3,X0] : multiply(inverse(X0),X0) = multiply(inverse(X3),X3),
inference(forward_demodulation,[],[f8186,f1]) ).
fof(f8186,plain,
! [X2,X3,X0,X4] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X3)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4))),X3),
inference(forward_demodulation,[],[f7959,f7848]) ).
fof(f7959,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X3)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(multiply(X2,X4),inverse(multiply(inverse(multiply(X2,X4)),multiply(X2,X4))))))))),X3),
inference(superposition,[],[f27,f7677]) ).
fof(f12756,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))))) = X0,
inference(superposition,[],[f7848,f8187]) ).
fof(f24742,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X1))))))))),multiply(inverse(X2),X2))) = X3,
inference(superposition,[],[f978,f13173]) ).
fof(f13173,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X2),X2)),
inference(superposition,[],[f8223,f12756]) ).
fof(f8223,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0)),
inference(superposition,[],[f8187,f7677]) ).
fof(f25118,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))) = X3,
inference(superposition,[],[f24858,f33]) ).
fof(f25924,plain,
! [X2,X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)) = multiply(inverse(multiply(X2,X3)),inverse(multiply(inverse(X4),inverse(multiply(multiply(X2,X3),multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[],[f25923,f20374]) ).
fof(f20374,plain,
! [X2,X3,X1] : inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))) = X3,
inference(superposition,[],[f7848,f13987]) ).
fof(f13987,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X0),X0))),
inference(superposition,[],[f13832,f13832]) ).
fof(f25923,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X1),X1))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X4),inverse(multiply(multiply(X2,X3),multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[],[f25922,f25067]) ).
fof(f25922,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X4),inverse(multiply(multiply(X2,X3),multiply(inverse(X3),X3)))))),
inference(forward_demodulation,[],[f25726,f25067]) ).
fof(f25726,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X4),inverse(multiply(multiply(X2,X3),inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X3)))))))) = inverse(multiply(inverse(multiply(inverse(inverse(X0)),X4)),X0)),
inference(superposition,[],[f529,f24870]) ).
fof(f24870,plain,
! [X2,X3] : multiply(inverse(inverse(X3)),multiply(inverse(X2),X2)) = X3,
inference(forward_demodulation,[],[f24869,f17]) ).
fof(f24869,plain,
! [X2,X3,X4,X5] : inverse(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)))) = multiply(inverse(inverse(X3)),multiply(inverse(X2),X2)),
inference(forward_demodulation,[],[f24767,f15118]) ).
fof(f24767,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))))))),multiply(inverse(X2),X2)),
inference(superposition,[],[f14,f13173]) ).
fof(f25958,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(inverse(X0)),X2)),X0))) = inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)),
inference(forward_demodulation,[],[f25771,f25067]) ).
fof(f25771,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(inverse(X0)),X2)),X0))) = inverse(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,multiply(inverse(X1),X1))))),
inference(superposition,[],[f1749,f24870]) ).
fof(f27370,plain,
! [X2,X1] : inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2))) = X2,
inference(forward_demodulation,[],[f27135,f25959]) ).
fof(f27135,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(inverse(X1),X1)),X2)))) = X2,
inference(superposition,[],[f25448,f13109]) ).
fof(f25448,plain,
! [X2,X0] : inverse(inverse(multiply(X0,multiply(inverse(X0),X2)))) = X2,
inference(forward_demodulation,[],[f25447,f24858]) ).
fof(f25447,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),multiply(inverse(X1),X1))) = inverse(inverse(multiply(X0,multiply(inverse(X0),X2)))),
inference(forward_demodulation,[],[f25268,f25067]) ).
fof(f25268,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X0),X2)))) = inverse(inverse(multiply(inverse(multiply(X3,multiply(inverse(X1),X1))),multiply(X3,X2)))),
inference(superposition,[],[f1749,f24858]) ).
fof(f30715,plain,
! [X0,X1] : inverse(inverse(multiply(X0,X1))) = inverse(multiply(inverse(X1),inverse(X0))),
inference(forward_demodulation,[],[f30714,f29427]) ).
fof(f29427,plain,
! [X2,X1] : inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(forward_demodulation,[],[f29426,f27821]) ).
fof(f27821,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X3))) = multiply(inverse(X2),X3),
inference(forward_demodulation,[],[f27820,f25067]) ).
fof(f27820,plain,
! [X2,X3,X0,X1,X5] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X3))) = inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,X2))),
inference(forward_demodulation,[],[f27543,f25067]) ).
fof(f27543,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X3))) = inverse(inverse(multiply(inverse(multiply(X4,multiply(X5,X2))),multiply(X4,multiply(X5,X3))))),
inference(superposition,[],[f27371,f3219]) ).
fof(f3219,plain,
! [X2,X3,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X4,multiply(X5,X2))),multiply(X4,multiply(X5,X3)))) = inverse(multiply(inverse(multiply(X6,multiply(X1,X2))),multiply(X6,multiply(X1,X3)))),
inference(superposition,[],[f716,f2799]) ).
fof(f2799,plain,
! [X2,X3,X0,X6,X4,X5] : multiply(inverse(multiply(X5,multiply(X3,X2))),multiply(X5,multiply(X3,X4))) = multiply(inverse(multiply(X6,multiply(X0,X2))),multiply(X6,multiply(X0,X4))),
inference(superposition,[],[f1447,f1425]) ).
fof(f1425,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,X4)) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(multiply(X0,X1)),X4)),
inference(superposition,[],[f1240,f1240]) ).
fof(f1447,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,X2))) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f1240,f1240]) ).
fof(f29426,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(X1),X2)) = multiply(inverse(multiply(X3,multiply(X4,X2))),multiply(X3,multiply(X4,X1))),
inference(forward_demodulation,[],[f28997,f27936]) ).
fof(f27936,plain,
! [X2,X0] : inverse(X0) = multiply(inverse(multiply(X2,X0)),X2),
inference(forward_demodulation,[],[f27935,f27371]) ).
fof(f27935,plain,
! [X2,X0] : inverse(X0) = multiply(inverse(multiply(inverse(inverse(X2)),X0)),X2),
inference(forward_demodulation,[],[f27934,f27890]) ).
fof(f27890,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X3) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(X2))))),inverse(multiply(inverse(X3),inverse(multiply(X1,X2))))),
inference(forward_demodulation,[],[f27889,f25067]) ).
fof(f27889,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X0))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(X2))))),inverse(multiply(inverse(X3),inverse(multiply(X1,X2))))),
inference(forward_demodulation,[],[f27888,f27833]) ).
fof(f27833,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X1))) = X0,
inference(forward_demodulation,[],[f27561,f27188]) ).
fof(f27188,plain,
! [X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(X1),X1))))) = X0,
inference(superposition,[],[f25448,f13832]) ).
fof(f27561,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X1))) = inverse(inverse(multiply(X0,inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f27371,f7373]) ).
fof(f7373,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(X0,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f7313,f7313]) ).
fof(f27888,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X0))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X0),X0)))),inverse(X2))))),inverse(multiply(inverse(X3),inverse(multiply(X1,X2))))),
inference(forward_demodulation,[],[f27887,f27833]) ).
fof(f27887,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X0))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X0),X0)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(X1,X2))))),
inference(forward_demodulation,[],[f27664,f27833]) ).
fof(f27664,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X0))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X0),X0)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X1,X2),inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X2)))))))),
inference(superposition,[],[f529,f27371]) ).
fof(f27934,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(X3))))),inverse(multiply(inverse(X0),inverse(multiply(X1,X3)))))),X2),
inference(forward_demodulation,[],[f27933,f27833]) ).
fof(f27933,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X0),inverse(multiply(X1,X3)))))),X2),
inference(forward_demodulation,[],[f27709,f27833]) ).
fof(f27709,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X0),inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3))))))))),X2),
inference(superposition,[],[f27,f27371]) ).
fof(f28997,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,multiply(X4,X2))),multiply(X3,multiply(X4,X1))) = multiply(inverse(multiply(X0,multiply(inverse(X1),X2))),X0),
inference(superposition,[],[f2799,f27629]) ).
fof(f27629,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f24870,f27371]) ).
fof(f30714,plain,
! [X0,X1] : inverse(inverse(multiply(X0,X1))) = inverse(inverse(multiply(inverse(inverse(X0)),X1))),
inference(forward_demodulation,[],[f29962,f27807]) ).
fof(f27807,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = inverse(multiply(inverse(X2),X1)),
inference(forward_demodulation,[],[f27529,f25067]) ).
fof(f27529,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = inverse(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
inference(superposition,[],[f27371,f716]) ).
fof(f29962,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,X1))) = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0)))),
inference(superposition,[],[f716,f28039]) ).
fof(f28039,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(forward_demodulation,[],[f27804,f27371]) ).
fof(f27804,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f24870,f27371]) ).
fof(f31940,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),inverse(X2))) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[],[f31939,f30716]) ).
fof(f31939,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),inverse(X2))) = multiply(inverse(multiply(inverse(X0),inverse(X2))),X1),
inference(forward_demodulation,[],[f31326,f27807]) ).
fof(f31326,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),inverse(X2))),X1) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(X0,X1))),
inference(superposition,[],[f1169,f28291]) ).
fof(f28291,plain,
! [X3,X1] : multiply(inverse(X1),multiply(X1,X3)) = X3,
inference(forward_demodulation,[],[f28046,f27443]) ).
fof(f27443,plain,
! [X3,X4,X5] : inverse(X3) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)),
inference(forward_demodulation,[],[f27226,f27441]) ).
fof(f27441,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X0),X1))))))))))),multiply(X2,inverse(multiply(X0,multiply(inverse(X0),X1))))) = X3,
inference(forward_demodulation,[],[f27440,f17]) ).
fof(f27440,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)))) = multiply(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X0),X1))))))))))),multiply(X2,inverse(multiply(X0,multiply(inverse(X0),X1))))),
inference(forward_demodulation,[],[f27222,f27371]) ).
fof(f27222,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(inverse(multiply(X4,inverse(multiply(X3,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X3)),inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X0),X1))))))))))),multiply(X2,inverse(multiply(X0,multiply(inverse(X0),X1))))),
inference(superposition,[],[f14,f25448]) ).
fof(f27226,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X0),X1))))))))))),multiply(X2,inverse(multiply(X0,multiply(inverse(X0),X1))))),
inference(superposition,[],[f16,f25448]) ).
fof(f16,plain,
! [X3,X1,X6,X4,X5] : multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)) = multiply(inverse(multiply(X5,inverse(multiply(inverse(X1),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6)),
inference(superposition,[],[f3,f3]) ).
fof(f28046,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)),multiply(X1,X3)) = X3,
inference(superposition,[],[f27611,f1]) ).
fof(f27611,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f27371,f25448]) ).
fof(f32597,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(subsumption_resolution,[],[f32169,f27371]) ).
fof(f32169,plain,
( a2 != inverse(inverse(a2))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(superposition,[],[f8771,f28442]) ).
fof(f28442,plain,
! [X3,X1] : multiply(multiply(X1,inverse(X3)),X3) = X1,
inference(forward_demodulation,[],[f28441,f27371]) ).
fof(f28441,plain,
! [X3,X1] : multiply(multiply(inverse(inverse(X1)),inverse(X3)),X3) = X1,
inference(forward_demodulation,[],[f28440,f27967]) ).
fof(f27967,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(X3))))),inverse(multiply(X0,inverse(multiply(X1,X3))))) = multiply(inverse(X2),inverse(X0)),
inference(forward_demodulation,[],[f27966,f25067]) ).
fof(f27966,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,X2))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(X3))))),inverse(multiply(X0,inverse(multiply(X1,X3))))),
inference(forward_demodulation,[],[f27965,f27833]) ).
fof(f27965,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,X2))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))),inverse(X3))))),inverse(multiply(X0,inverse(multiply(X1,X3))))),
inference(forward_demodulation,[],[f27964,f27371]) ).
fof(f27964,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,X2))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),inverse(X3))))),inverse(multiply(X0,inverse(multiply(X1,X3))))),
inference(forward_demodulation,[],[f27963,f27833]) ).
fof(f27963,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,X2))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(X0,inverse(multiply(X1,X3))))),
inference(forward_demodulation,[],[f27719,f27833]) ).
fof(f27719,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,X2))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(X0,inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3)))))))),
inference(superposition,[],[f529,f27371]) ).
fof(f28440,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(X2))))),inverse(multiply(X3,inverse(multiply(X0,X2))))),X3) = X1,
inference(forward_demodulation,[],[f28439,f27833]) ).
fof(f28439,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(X3,inverse(multiply(X0,X2))))),X3) = X1,
inference(forward_demodulation,[],[f28438,f27371]) ).
fof(f28438,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(X0,X2))))),X3) = X1,
inference(forward_demodulation,[],[f28123,f27833]) ).
fof(f28123,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))),X3) = X1,
inference(superposition,[],[f27611,f27]) ).
fof(f8771,plain,
! [X0] :
( a2 != multiply(multiply(inverse(X0),X0),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f8396,f8187]) ).
fof(f8396,plain,
! [X0] :
( a2 != multiply(multiply(inverse(X0),X0),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(superposition,[],[f2,f8187]) ).
fof(f2,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP054-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:45:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (1642)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (1645)WARNING: value z3 for option sas not known
% 0.15/0.38 % (1644)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (1643)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (1645)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (1647)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (1648)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (1649)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (1646)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.41 TRYING [4]
% 6.23/1.29 % (1649)First to succeed.
% 6.23/1.29 % (1649)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1642"
% 6.23/1.30 % (1649)Refutation found. Thanks to Tanya!
% 6.23/1.30 % SZS status Unsatisfiable for theBenchmark
% 6.23/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 6.23/1.30 % (1649)------------------------------
% 6.23/1.30 % (1649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.23/1.30 % (1649)Termination reason: Refutation
% 6.23/1.30
% 6.23/1.30 % (1649)Memory used [KB]: 15556
% 6.23/1.30 % (1649)Time elapsed: 0.914 s
% 6.23/1.30 % (1649)Instructions burned: 3108 (million)
% 6.23/1.30 % (1642)Success in time 0.913 s
%------------------------------------------------------------------------------