TSTP Solution File: GRP609-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP609-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:21:04 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 3
% Syntax : Number of formulae : 118 ( 118 unt; 0 def)
% Number of atoms : 118 ( 117 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 375 ( 375 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X0,X2)),X1))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,inverse(double_divide(X0,X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),double_divide(multiply(X1,X3),double_divide(X3,X0))) = X2,
inference(paramodulation,[status(thm)],[f10,f10]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(multiply(X0,X3),double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(double_divide(multiply(X0,X1),double_divide(X1,X2)),X3),multiply(X3,X4)) = double_divide(X2,double_divide(X0,X4)),
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f21,plain,
! [X0,X1,X2] : X0 = double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(X3,double_divide(multiply(multiply(X2,X3),X4),double_divide(X4,X0))),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f41,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f11,f21]) ).
fof(f42,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0) = double_divide(X2,multiply(X3,X1)),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(double_divide(multiply(X1,multiply(X2,multiply(X3,X4))),X0),X1),X3)) = double_divide(X4,X2),
inference(paramodulation,[status(thm)],[f21,f11]) ).
fof(f48,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,X2),multiply(X0,X3)),X1)) = double_divide(X2,X3),
inference(forward_demodulation,[status(thm)],[f42,f47]) ).
fof(f53,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f21,f5]) ).
fof(f82,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),X1)),inverse(X3)) = X2,
inference(paramodulation,[status(thm)],[f53,f9]) ).
fof(f83,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(forward_demodulation,[status(thm)],[f42,f82]) ).
fof(f85,plain,
! [X0,X1,X2,X3] : X0 = double_divide(inverse(X1),double_divide(X2,multiply(X0,multiply(double_divide(multiply(X3,X2),X1),X3)))),
inference(paramodulation,[status(thm)],[f53,f41]) ).
fof(f86,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,multiply(double_divide(inverse(X2),X0),multiply(double_divide(multiply(X3,X1),X2),X3))),
inference(paramodulation,[status(thm)],[f53,f21]) ).
fof(f90,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),double_divide(X1,X2)),multiply(double_divide(multiply(X3,X1),X0),X3)) = X2,
inference(paramodulation,[status(thm)],[f53,f10]) ).
fof(f103,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),inverse(double_divide(X2,X3))) = multiply(X3,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f9,f83]) ).
fof(f104,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),multiply(X2,X3)) = multiply(X2,multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f5,f103]) ).
fof(f105,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,multiply(double_divide(X1,X2),X3))),multiply(X2,X1)) = X3,
inference(paramodulation,[status(thm)],[f5,f83]) ).
fof(f106,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f104,f105]) ).
fof(f109,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
inference(paramodulation,[status(thm)],[f83,f21]) ).
fof(f128,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(double_divide(X3,double_divide(X2,X0)),X1),X3),
inference(paramodulation,[status(thm)],[f106,f106]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(inverse(double_divide(X0,double_divide(X1,X2))),X3),X2) = double_divide(X3,double_divide(multiply(X1,X4),double_divide(X4,X0))),
inference(paramodulation,[status(thm)],[f12,f109]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(multiply(double_divide(X0,X1),X2),X3),X1) = double_divide(X3,double_divide(multiply(X0,X4),double_divide(X4,X2))),
inference(forward_demodulation,[status(thm)],[f5,f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(double_divide(X0,X1)),X2),X3) = double_divide(X2,multiply(X1,multiply(X3,X0))),
inference(paramodulation,[status(thm)],[f9,f109]) ).
fof(f154,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(X0,X1),X2),X3) = double_divide(X2,multiply(X0,multiply(X3,X1))),
inference(forward_demodulation,[status(thm)],[f5,f153]) ).
fof(f158,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(X2,multiply(double_divide(X2,X1),inverse(X0))),
inference(paramodulation,[status(thm)],[f109,f21]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(double_divide(X1,X2),multiply(X2,X3))) = double_divide(X0,double_divide(multiply(X1,X4),double_divide(X4,X3))),
inference(backward_demodulation,[status(thm)],[f154,f152]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(X3,double_divide(X4,multiply(X2,multiply(double_divide(X4,X0),X3)))),
inference(backward_demodulation,[status(thm)],[f154,f23]) ).
fof(f188,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(multiply(inverse(X0),X1),X2),
inference(paramodulation,[status(thm)],[f10,f158]) ).
fof(f190,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(multiply(inverse(X1),X3),multiply(double_divide(X3,X2),inverse(X0))),
inference(paramodulation,[status(thm)],[f109,f158]) ).
fof(f191,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X1,double_divide(X3,multiply(double_divide(X3,X2),inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f188,f190]) ).
fof(f192,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f158,f191]) ).
fof(f194,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,X2),X3),X1)) = double_divide(X2,multiply(X3,inverse(X0))),
inference(paramodulation,[status(thm)],[f21,f158]) ).
fof(f195,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X2),inverse(X3))) = double_divide(X1,multiply(multiply(X3,X2),inverse(X0))),
inference(paramodulation,[status(thm)],[f158,f158]) ).
fof(f196,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X2) = double_divide(X3,multiply(double_divide(X3,X2),multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f158]) ).
fof(f214,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,inverse(double_divide(inverse(X1),double_divide(X0,X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f194,f90]) ).
fof(f215,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,multiply(double_divide(X0,X2),inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f214]) ).
fof(f216,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X0,multiply(multiply(X1,X2),inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f195,f215]) ).
fof(f217,plain,
! [X0,X1,X2] : X0 = double_divide(X1,double_divide(X1,multiply(X2,inverse(double_divide(inverse(X2),X0))))),
inference(backward_demodulation,[status(thm)],[f194,f86]) ).
fof(f218,plain,
! [X0,X1,X2] : X0 = double_divide(X1,double_divide(X1,multiply(X2,multiply(X0,inverse(X2))))),
inference(forward_demodulation,[status(thm)],[f5,f217]) ).
fof(f221,plain,
! [X0,X1,X2] : double_divide(X0,multiply(multiply(X1,X2),inverse(X1))) = double_divide(X0,X2),
inference(backward_demodulation,[status(thm)],[f194,f48]) ).
fof(f223,plain,
! [X0,X1,X2] : X0 = double_divide(inverse(X1),double_divide(X2,double_divide(X2,multiply(X1,inverse(X0))))),
inference(backward_demodulation,[status(thm)],[f194,f85]) ).
fof(f237,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f221,f216]) ).
fof(f255,plain,
! [X0,X1] : X0 = double_divide(inverse(X1),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f237,f223]) ).
fof(f256,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X0,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f237,f218]) ).
fof(f280,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f41,f237]) ).
fof(f286,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = inverse(double_divide(multiply(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f237,f53]) ).
fof(f287,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f286]) ).
fof(f300,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f237,f5]) ).
fof(f311,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,multiply(X2,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f280,f188]) ).
fof(f323,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(X2,X3))) = double_divide(X0,multiply(X2,multiply(X1,X3))),
inference(backward_demodulation,[status(thm)],[f280,f154]) ).
fof(f402,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(double_divide(X1,X2),multiply(X2,X3))) = double_divide(X0,double_divide(X4,multiply(double_divide(X4,X3),X1))),
inference(backward_demodulation,[status(thm)],[f280,f175]) ).
fof(f403,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(X1,multiply(double_divide(X2,X1),X3))) = double_divide(X0,double_divide(X4,multiply(double_divide(X4,X3),X2))),
inference(forward_demodulation,[status(thm)],[f323,f402]) ).
fof(f420,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(double_divide(X0,multiply(double_divide(X0,X1),X2)),X3),multiply(X3,X4)) = double_divide(X1,double_divide(X2,X4)),
inference(backward_demodulation,[status(thm)],[f280,f20]) ).
fof(f421,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(double_divide(X1,multiply(double_divide(X1,X2),X3)),X0),X4)) = double_divide(X2,double_divide(X3,X4)),
inference(forward_demodulation,[status(thm)],[f192,f420]) ).
fof(f424,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(X3,multiply(double_divide(X3,X2),X0)),
inference(backward_demodulation,[status(thm)],[f280,f15]) ).
fof(f425,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X3,multiply(double_divide(X3,X2),X1)),
inference(forward_demodulation,[status(thm)],[f192,f424]) ).
fof(f464,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(X3,double_divide(X2,X0)),multiply(X1,X3)),
inference(backward_demodulation,[status(thm)],[f287,f128]) ).
fof(f490,plain,
! [X0,X1] : X0 = multiply(X0,double_divide(inverse(X1),X1)),
inference(backward_demodulation,[status(thm)],[f311,f255]) ).
fof(f501,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f256,f9]) ).
fof(f526,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),X1) = double_divide(X2,double_divide(X3,multiply(double_divide(inverse(X4),X4),multiply(double_divide(X3,X0),X2)))),
inference(paramodulation,[status(thm)],[f490,f186]) ).
fof(f527,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X1) = double_divide(X2,double_divide(X3,multiply(double_divide(X3,X0),X2))),
inference(forward_demodulation,[status(thm)],[f501,f526]) ).
fof(f531,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,X2)) = multiply(X2,multiply(double_divide(X3,X0),X3)),
inference(paramodulation,[status(thm)],[f237,f186]) ).
fof(f532,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = multiply(X2,multiply(double_divide(X3,X1),X3)),
inference(forward_demodulation,[status(thm)],[f192,f531]) ).
fof(f533,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(X1,X0),X2)) = multiply(X2,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f300,f532]) ).
fof(f543,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(inverse(X2),double_divide(X3,double_divide(X3,X0))),
inference(paramodulation,[status(thm)],[f256,f186]) ).
fof(f544,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(inverse(X2),double_divide(X3,double_divide(X3,X1))),
inference(forward_demodulation,[status(thm)],[f192,f543]) ).
fof(f545,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),double_divide(X2,double_divide(X2,X1))),
inference(forward_demodulation,[status(thm)],[f533,f544]) ).
fof(f546,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f237,f545]) ).
fof(f547,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(multiply(X0,multiply(X3,X4)),double_divide(X4,multiply(X2,X3))),
inference(paramodulation,[status(thm)],[f9,f186]) ).
fof(f548,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(multiply(X1,multiply(X3,X4)),double_divide(X4,multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f192,f547]) ).
fof(f549,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(X1)) = double_divide(multiply(X1,multiply(X2,X3)),double_divide(X3,multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f533,f548]) ).
fof(f550,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),X1) = double_divide(multiply(X1,multiply(X2,X3)),double_divide(X3,multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f546,f549]) ).
fof(f551,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),X1) = double_divide(multiply(X2,X3),multiply(double_divide(X3,multiply(X0,X2)),X1)),
inference(forward_demodulation,[status(thm)],[f280,f550]) ).
fof(f552,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),X1) = double_divide(X2,multiply(multiply(double_divide(X2,multiply(X0,X3)),X1),X3)),
inference(forward_demodulation,[status(thm)],[f280,f551]) ).
fof(f553,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),X1) = double_divide(X2,multiply(double_divide(X2,multiply(X0,X3)),multiply(X1,X3))),
inference(forward_demodulation,[status(thm)],[f287,f552]) ).
fof(f554,plain,
! [X0,X1,X2] : double_divide(inverse(X0),X1) = multiply(double_divide(X2,X1),multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f196,f553]) ).
fof(f631,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(double_divide(X1,multiply(double_divide(X1,X2),X3)))) = double_divide(X2,double_divide(X3,X0)),
inference(backward_demodulation,[status(thm)],[f533,f421]) ).
fof(f632,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),double_divide(X1,multiply(double_divide(X1,X2),X3))) = double_divide(X2,double_divide(X3,X0)),
inference(forward_demodulation,[status(thm)],[f546,f631]) ).
fof(f662,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = double_divide(X2,multiply(double_divide(X2,X0),X1)),
inference(backward_demodulation,[status(thm)],[f533,f425]) ).
fof(f663,plain,
! [X0,X1,X2] : double_divide(inverse(X0),X1) = double_divide(X2,multiply(double_divide(X2,X0),X1)),
inference(forward_demodulation,[status(thm)],[f546,f662]) ).
fof(f664,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,inverse(X2))) = double_divide(X0,double_divide(X3,multiply(double_divide(X3,X1),X2))),
inference(backward_demodulation,[status(thm)],[f533,f403]) ).
fof(f665,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,double_divide(X3,multiply(double_divide(X3,X2),X0))),
inference(forward_demodulation,[status(thm)],[f311,f664]) ).
fof(f666,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,double_divide(inverse(X2),X0)),
inference(forward_demodulation,[status(thm)],[f663,f665]) ).
fof(f677,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(inverse(X1),double_divide(X2,X0)),
inference(backward_demodulation,[status(thm)],[f554,f464]) ).
fof(f720,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(inverse(X1),X2)) = double_divide(X1,double_divide(X2,X0)),
inference(backward_demodulation,[status(thm)],[f663,f632]) ).
fof(f721,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X2))) = double_divide(X2,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f677,f720]) ).
fof(f722,plain,
! [X0,X1,X2] : multiply(X0,double_divide(inverse(X1),X2)) = double_divide(X2,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f546,f721]) ).
fof(f725,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = double_divide(X2,double_divide(inverse(X0),X2)),
inference(backward_demodulation,[status(thm)],[f663,f527]) ).
fof(f726,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = multiply(X2,double_divide(X2,X0)),
inference(forward_demodulation,[status(thm)],[f666,f725]) ).
fof(f762,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(backward_demodulation,[status(thm)],[f722,f490]) ).
fof(f876,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f762,f237]) ).
fof(f880,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f762,f5]) ).
fof(f886,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f880,f726]) ).
fof(f929,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f237,f886]) ).
fof(f930,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f929]) ).
fof(f936,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(paramodulation,[status(thm)],[f930,f6]) ).
fof(f937,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(forward_demodulation,[status(thm)],[f930,f936]) ).
fof(f938,plain,
double_divide(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(forward_demodulation,[status(thm)],[f546,f937]) ).
fof(f939,plain,
double_divide(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(forward_demodulation,[status(thm)],[f876,f938]) ).
fof(f940,plain,
double_divide(a1,inverse(a1)) != double_divide(inverse(b1),b1),
inference(forward_demodulation,[status(thm)],[f546,f939]) ).
fof(f941,plain,
double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)),
inference(forward_demodulation,[status(thm)],[f876,f940]) ).
fof(f1139,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,X0)) = double_divide(inverse(X2),X2),
inference(paramodulation,[status(thm)],[f501,f9]) ).
fof(f1140,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f554,f1139]) ).
fof(f1141,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f876,f1140]) ).
fof(f1142,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f876,f1141]) ).
fof(f1143,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f941,f1142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GRP609-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 01:08:28 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.110585 seconds
% 0.14/0.42 % CPU time: 0.663391 seconds
% 0.14/0.42 % Total memory used: 30.010 MB
% 0.14/0.42 % Net memory used: 29.496 MB
%------------------------------------------------------------------------------