TSTP Solution File: GRP441-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP441-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 : Tue Apr 30 20:20:38 EDT 2024
% Result : Unsatisfiable 50.28s 6.76s
% Output : CNFRefutation 51.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 2
% Syntax : Number of formulae : 75 ( 75 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 296 ( 296 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(multiply(X1,multiply(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X5,multiply(X2,X4)))))),multiply(multiply(X5,X6),inverse(multiply(X0,multiply(X1,X6))))))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : X0 = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),X3),inverse(multiply(X4,multiply(X0,X3))))),X4)))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : X0 = inverse(multiply(X1,multiply(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X5,multiply(X2,X4)))))),multiply(multiply(X5,multiply(multiply(inverse(X1),X6),inverse(multiply(X7,multiply(X0,X6))))),X7)))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))) = inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(inverse(X4),multiply(multiply(X3,X6),inverse(multiply(X7,multiply(X8,X6))))),X7)),X8)))),
inference(paramodulation,[status(thm)],[f3,f12]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : X0 = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(inverse(X3),multiply(multiply(inverse(X4),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7)),X4)),X3)))),
inference(paramodulation,[status(thm)],[f6,f12]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] : X0 = inverse(multiply(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))),multiply(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),X7),inverse(multiply(X8,multiply(X5,X7)))))),multiply(multiply(X8,multiply(multiply(X4,multiply(multiply(inverse(X0),X9),inverse(multiply(X10,multiply(X11,X9))))),X10)),X11)))),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f254,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : X0 = inverse(multiply(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X1,X3)))))),multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(X4,multiply(multiply(inverse(X0),multiply(multiply(inverse(X6),multiply(multiply(inverse(X7),X8),inverse(multiply(X9,multiply(X10,X8))))),X9)),X10)),X7)),X6)))),
inference(paramodulation,[status(thm)],[f3,f25]) ).
fof(f720,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))) = multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X2,multiply(a3,a3)))))),
inference(equality_split,[status(esa)],[f23]) ).
fof(f721,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))) = multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X3,multiply(a3,a3)))))),
inference(equality_split,[status(esa)],[f23]) ).
fof(f722,plain,
! [X0] : multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(inverse(X0),multiply(a3,a3)))))) = X0,
inference(paramodulation,[status(thm)],[f12,f720]) ).
fof(f868,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),X2),inverse(multiply(X3,multiply(X4,X2))))),X3))) = multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X4,multiply(a3,a3)))))),
inference(paramodulation,[status(thm)],[f6,f722]) ).
fof(f1863,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(multiply(X1,multiply(X2,multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X3,multiply(a3,a3)))))),inverse(multiply(X0,multiply(X1,multiply(X4,multiply(multiply(inverse(X4),multiply(multiply(inverse(inverse(X2)),X5),inverse(multiply(X6,multiply(X3,X5))))),X6))))))))),
inference(paramodulation,[status(thm)],[f868,f3]) ).
fof(f11878,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : X0 = inverse(multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X1,multiply(a3,a3)))))),multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(X1,multiply(multiply(inverse(X0),multiply(multiply(inverse(X3),multiply(multiply(inverse(X4),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7)),X4)),X3)))),
inference(forward_demodulation,[status(thm)],[f721,f254]) ).
fof(f15302,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(multiply(X1,multiply(X2,multiply(X3,inverse(multiply(X0,multiply(X1,multiply(X4,multiply(multiply(inverse(X4),multiply(multiply(inverse(inverse(X2)),X5),inverse(multiply(X6,multiply(inverse(X3),X5))))),X6))))))))),
inference(paramodulation,[status(thm)],[f722,f1863]) ).
fof(f15664,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X0,multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(inverse(X2),multiply(a3,a3)))))))))))),
inference(paramodulation,[status(thm)],[f868,f15302]) ).
fof(f16007,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X0,X2)))))),
inference(forward_demodulation,[status(thm)],[f722,f15664]) ).
fof(f16096,plain,
! [X0,X1,X2,X3] : inverse(X0) = inverse(multiply(inverse(X1),multiply(X1,multiply(multiply(X0,multiply(X2,inverse(multiply(X3,X2)))),X3)))),
inference(paramodulation,[status(thm)],[f16007,f16007]) ).
fof(f16183,plain,
! [X0,X1,X2,X3] : multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(inverse(X0),multiply(a3,a3)))))) = multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(X3,X2)))),X3))),
inference(paramodulation,[status(thm)],[f16007,f721]) ).
fof(f16350,plain,
! [X0,X1,X2,X3] : X0 = multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(X3,X2)))),X3))),
inference(forward_demodulation,[status(thm)],[f722,f16183]) ).
fof(f16493,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(X0,multiply(X1,multiply(X3,multiply(multiply(inverse(X3),multiply(X4,inverse(multiply(X5,X4)))),X5))))))))),
inference(paramodulation,[status(thm)],[f16350,f3]) ).
fof(f16754,plain,
! [X0,X1,X2] : X0 = inverse(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f16350,f16493]) ).
fof(f16875,plain,
! [X0,X1,X2,X3] : inverse(X0) = inverse(multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),X2)))),
inference(paramodulation,[status(thm)],[f16007,f16754]) ).
fof(f16972,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X1),inverse(multiply(X3,X0)))),X3)))),
inference(paramodulation,[status(thm)],[f16754,f3]) ).
fof(f16973,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(X2,multiply(inverse(X2),inverse(multiply(X3,X4)))),X3)),X4))),
inference(paramodulation,[status(thm)],[f16754,f16350]) ).
fof(f17323,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),X3))) = inverse(multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X4,multiply(a3,a3)))))),multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(X4,multiply(multiply(inverse(X1),multiply(multiply(inverse(X6),multiply(multiply(inverse(X7),X8),inverse(multiply(X9,multiply(X10,X8))))),X9)),X10)),X7)),X6)))),
inference(paramodulation,[status(thm)],[f16096,f11878]) ).
fof(f17446,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),X3))) = X1,
inference(forward_demodulation,[status(thm)],[f11878,f17323]) ).
fof(f18450,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),X2))) = inverse(multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X4,multiply(a3,a3)))))),multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(X4,multiply(multiply(inverse(X0),multiply(multiply(inverse(X6),multiply(multiply(inverse(X7),X8),inverse(multiply(X9,multiply(X10,X8))))),X9)),X10)),X7)),X6)))),
inference(paramodulation,[status(thm)],[f16875,f11878]) ).
fof(f18569,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),X2))) = X0,
inference(forward_demodulation,[status(thm)],[f11878,f18450]) ).
fof(f21316,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : X0 = multiply(X0,multiply(X1,multiply(inverse(X1),multiply(multiply(X2,multiply(inverse(X2),inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(multiply(X5,multiply(inverse(X5),inverse(multiply(X6,X7)))),X6)),X7)))))),X3)))),
inference(paramodulation,[status(thm)],[f16973,f16973]) ).
fof(f21736,plain,
! [X0,X1,X2,X3] : X0 = multiply(X0,multiply(X1,multiply(inverse(X1),multiply(multiply(X2,multiply(inverse(X2),inverse(X3))),X3)))),
inference(forward_demodulation,[status(thm)],[f16973,f21316]) ).
fof(f21891,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,inverse(multiply(multiply(multiply(X2,multiply(inverse(X2),inverse(X3))),X3),X1)))) = X0,
inference(paramodulation,[status(thm)],[f18569,f21736]) ).
fof(f22447,plain,
! [X0,X4,X5,X6,X7,X8,X9,X10,X11] : X0 = inverse(multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X4,multiply(a3,a3)))))),multiply(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),X7),inverse(multiply(X8,multiply(X5,X7)))))),multiply(multiply(X8,multiply(multiply(X4,multiply(multiply(inverse(X0),X9),inverse(multiply(X10,multiply(X11,X9))))),X10)),X11)))),
inference(forward_demodulation,[status(thm)],[f721,f115]) ).
fof(f22448,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X1,multiply(a3,a3)))))),multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X2,multiply(a3,a3)))))),multiply(multiply(X2,multiply(multiply(X1,multiply(multiply(inverse(X0),X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))),
inference(forward_demodulation,[status(thm)],[f721,f22447]) ).
fof(f23713,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(inverse(X0),inverse(X1))),X1) = inverse(multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f21891,f16754]) ).
fof(f24052,plain,
! [X0,X1] : multiply(multiply(X0,multiply(inverse(X0),inverse(X1))),X1) = inverse(multiply(inverse(a3),a3)),
inference(equality_split,[status(esa)],[f23713]) ).
fof(f24159,plain,
! [X0,X1] : X0 = multiply(X0,multiply(X1,inverse(multiply(inverse(multiply(inverse(a3),a3)),X1)))),
inference(paramodulation,[status(thm)],[f24052,f21891]) ).
fof(f25266,plain,
! [X0] : multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(inverse(multiply(inverse(a3),a3)),multiply(a3,a3)))))) = multiply(inverse(X0),X0),
inference(paramodulation,[status(thm)],[f24159,f721]) ).
fof(f25490,plain,
! [X0] : multiply(inverse(a3),a3) = multiply(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f722,f25266]) ).
fof(f25806,plain,
! [X0,X1] : X0 = inverse(multiply(X1,multiply(inverse(multiply(X0,X1)),multiply(inverse(a3),a3)))),
inference(paramodulation,[status(thm)],[f25490,f16754]) ).
fof(f27132,plain,
inverse(a3) = inverse(multiply(a3,multiply(inverse(a3),a3))),
inference(paramodulation,[status(thm)],[f25490,f25806]) ).
fof(f27548,plain,
! [X0,X1,X2,X3,X4] : multiply(a3,multiply(inverse(a3),a3)) = inverse(multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X0,multiply(a3,a3)))))),multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X1,multiply(a3,a3)))))),multiply(multiply(X1,multiply(multiply(X0,multiply(multiply(inverse(a3),X2),inverse(multiply(X3,multiply(X4,X2))))),X3)),X4)))),
inference(paramodulation,[status(thm)],[f27132,f22448]) ).
fof(f27693,plain,
multiply(a3,multiply(inverse(a3),a3)) = a3,
inference(forward_demodulation,[status(thm)],[f22448,f27548]) ).
fof(f27716,plain,
! [X0] : a3 = multiply(a3,multiply(inverse(X0),X0)),
inference(paramodulation,[status(thm)],[f25490,f27693]) ).
fof(f27942,plain,
! [X0,X1] : X0 = multiply(multiply(X0,multiply(X1,inverse(multiply(a3,X1)))),a3),
inference(paramodulation,[status(thm)],[f27716,f18569]) ).
fof(f29071,plain,
! [X0,X1] : multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(inverse(X0),multiply(a3,a3)))))) = multiply(X0,multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f27942,f868]) ).
fof(f29103,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f27942,f17446]) ).
fof(f29211,plain,
! [X0,X1] : X0 = multiply(X0,multiply(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f722,f29071]) ).
fof(f29734,plain,
! [X0,X1] : X0 = inverse(multiply(X1,inverse(multiply(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f29103,f16007]) ).
fof(f29802,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f29103,f29103]) ).
fof(f31017,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(inverse(X0)) = inverse(multiply(X1,multiply(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X5,multiply(X2,X4)))))),multiply(multiply(X5,X6),inverse(multiply(X0,multiply(X1,X6))))))),
inference(paramodulation,[status(thm)],[f29802,f5]) ).
fof(f31348,plain,
! [X0,X1,X5,X6] : inverse(inverse(X0)) = inverse(multiply(X1,multiply(multiply(a3,multiply(a3,multiply(multiply(inverse(a3),a3),inverse(multiply(X5,multiply(a3,a3)))))),multiply(multiply(X5,X6),inverse(multiply(X0,multiply(X1,X6))))))),
inference(forward_demodulation,[status(thm)],[f721,f31017]) ).
fof(f31349,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f31348]) ).
fof(f31432,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f29734,f31349]) ).
fof(f31464,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f31349,f29103]) ).
fof(f31465,plain,
! [X0,X1] : X0 = multiply(X0,multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f31349,f29211]) ).
fof(f33903,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(X1,multiply(X2,multiply(inverse(X2),multiply(inverse(X1),inverse(multiply(multiply(inverse(X3),X3),X0))))))),
inference(paramodulation,[status(thm)],[f31465,f16972]) ).
fof(f34223,plain,
! [X0,X1,X3] : X0 = inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(multiply(inverse(X3),X3),X0))))),
inference(forward_demodulation,[status(thm)],[f31464,f33903]) ).
fof(f34224,plain,
! [X0,X3] : X0 = inverse(inverse(multiply(multiply(inverse(X3),X3),X0))),
inference(forward_demodulation,[status(thm)],[f31464,f34223]) ).
fof(f34225,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(forward_demodulation,[status(thm)],[f31349,f34224]) ).
fof(f34493,plain,
! [X0,X1,X2] : X0 = inverse(multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(paramodulation,[status(thm)],[f34225,f3]) ).
fof(f36092,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(paramodulation,[status(thm)],[f29103,f31432]) ).
fof(f36104,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f31432,f31464]) ).
fof(f36147,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f31432,f29103]) ).
fof(f36178,plain,
! [X0,X1] : X0 = multiply(multiply(X0,X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f31349,f36092]) ).
fof(f36593,plain,
! [X0,X1] : X0 = multiply(multiply(X0,inverse(X1)),X1),
inference(paramodulation,[status(thm)],[f31349,f36178]) ).
fof(f48818,plain,
! [X0,X1,X2] : X0 = inverse(multiply(multiply(X1,X2),multiply(inverse(X2),inverse(multiply(X0,X1))))),
inference(paramodulation,[status(thm)],[f36178,f34493]) ).
fof(f49041,plain,
! [X0,X1,X2] : X0 = inverse(multiply(multiply(X1,X2),inverse(multiply(multiply(X0,X1),X2)))),
inference(forward_demodulation,[status(thm)],[f36147,f48818]) ).
fof(f49042,plain,
! [X0,X1,X2] : X0 = multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f36104,f49041]) ).
fof(f49318,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f49042,f36593]) ).
fof(f49485,plain,
$false,
inference(resolution,[status(thm)],[f49318,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP441-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:45:25 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 50.28/6.76 % Refutation found
% 50.28/6.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 50.28/6.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 52.04/6.95 % Elapsed time: 6.588256 seconds
% 52.04/6.95 % CPU time: 51.670568 seconds
% 52.04/6.95 % Total memory used: 1.114 GB
% 52.04/6.95 % Net memory used: 1.104 GB
%------------------------------------------------------------------------------