TSTP Solution File: GRP575-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP575-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:20:59 EDT 2024
% Result : Unsatisfiable 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 5
% Syntax : Number of formulae : 175 ( 175 unt; 0 def)
% Number of atoms : 175 ( 174 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 340 ( 340 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f12,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f11]) ).
fof(f13,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f14,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f15,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f16,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f22,plain,
! [X0] : identity = double_divide(multiply(identity,X0),multiply(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f15,f9]) ).
fof(f23,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f24,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f31,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
inference(paramodulation,[status(thm)],[f15,f23]) ).
fof(f161,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),inverse(double_divide(X2,double_divide(double_divide(X1,double_divide(X3,X2)),inverse(X3)))))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f162,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f13,f161]) ).
fof(f169,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f170,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f169]) ).
fof(f171,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,inverse(X1)),inverse(X1))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f174,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f13,f12]) ).
fof(f188,plain,
! [X0] : double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f170]) ).
fof(f189,plain,
! [X0] : double_divide(inverse(inverse(inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f188]) ).
fof(f190,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f14,f189]) ).
fof(f213,plain,
! [X0,X1] : double_divide(multiply(identity,multiply(X0,X1)),inverse(identity)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f13,f190]) ).
fof(f309,plain,
! [X0] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f190,f171]) ).
fof(f310,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(double_divide(X0,inverse(X1)),inverse(X1))),
inference(paramodulation,[status(thm)],[f171,f171]) ).
fof(f311,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = double_divide(identity,double_divide(double_divide(X0,inverse(X1)),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f309,f310]) ).
fof(f312,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(inverse(X1),double_divide(inverse(X0),inverse(X1))),
inference(paramodulation,[status(thm)],[f170,f171]) ).
fof(f313,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = double_divide(inverse(X1),double_divide(inverse(X0),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f309,f312]) ).
fof(f314,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),inverse(X2))),
inference(paramodulation,[status(thm)],[f12,f171]) ).
fof(f315,plain,
! [X0,X1,X2] : multiply(identity,inverse(X0)) = double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),inverse(X2))),
inference(forward_demodulation,[status(thm)],[f309,f314]) ).
fof(f316,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f171]) ).
fof(f348,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f9,f316]) ).
fof(f349,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f348]) ).
fof(f399,plain,
multiply(identity,inverse(identity)) = double_divide(inverse(identity),identity),
inference(paramodulation,[status(thm)],[f349,f313]) ).
fof(f400,plain,
multiply(identity,inverse(identity)) = inverse(inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f399]) ).
fof(f401,plain,
multiply(identity,inverse(identity)) = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f14,f400]) ).
fof(f459,plain,
double_divide(multiply(identity,multiply(identity,identity)),inverse(identity)) = double_divide(inverse(identity),identity),
inference(paramodulation,[status(thm)],[f401,f213]) ).
fof(f460,plain,
double_divide(identity,identity) = double_divide(inverse(identity),identity),
inference(forward_demodulation,[status(thm)],[f213,f459]) ).
fof(f461,plain,
inverse(identity) = double_divide(inverse(identity),identity),
inference(forward_demodulation,[status(thm)],[f8,f460]) ).
fof(f462,plain,
inverse(identity) = inverse(inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f461]) ).
fof(f463,plain,
inverse(identity) = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f14,f462]) ).
fof(f502,plain,
double_divide(multiply(identity,inverse(identity)),inverse(identity)) = double_divide(identity,identity),
inference(paramodulation,[status(thm)],[f463,f213]) ).
fof(f503,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f190,f502]) ).
fof(f504,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f503]) ).
fof(f532,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),identity) = X0,
inference(backward_demodulation,[status(thm)],[f504,f316]) ).
fof(f533,plain,
! [X0] : inverse(double_divide(identity,double_divide(identity,inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f532]) ).
fof(f534,plain,
! [X0] : multiply(double_divide(identity,inverse(X0)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f13,f533]) ).
fof(f535,plain,
! [X0,X1] : double_divide(multiply(identity,multiply(X0,X1)),identity) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f504,f213]) ).
fof(f536,plain,
! [X0,X1] : inverse(multiply(identity,multiply(X0,X1))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f8,f535]) ).
fof(f537,plain,
! [X0,X1] : multiply(identity,inverse(multiply(X0,X1))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f15,f536]) ).
fof(f540,plain,
! [X0] : double_divide(multiply(identity,inverse(X0)),identity) = X0,
inference(backward_demodulation,[status(thm)],[f504,f190]) ).
fof(f541,plain,
! [X0] : inverse(multiply(identity,inverse(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f540]) ).
fof(f542,plain,
! [X0] : multiply(identity,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f15,f541]) ).
fof(f543,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f14,f542]) ).
fof(f585,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f504,f174]) ).
fof(f586,plain,
! [X0,X1,X2,X3] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f585]) ).
fof(f587,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,double_divide(double_divide(X1,X2),X3)),multiply(X2,X1)),X3) = X0,
inference(forward_demodulation,[status(thm)],[f13,f586]) ).
fof(f594,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3))),identity) = X0,
inference(backward_demodulation,[status(thm)],[f504,f162]) ).
fof(f595,plain,
! [X0,X1,X2,X3] : inverse(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3)))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f594]) ).
fof(f596,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f13,f595]) ).
fof(f597,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f504,f596]) ).
fof(f608,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),X0),
inference(backward_demodulation,[status(thm)],[f543,f31]) ).
fof(f613,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,identity),multiply(X1,X2)),multiply(X1,X2)) = X0,
inference(paramodulation,[status(thm)],[f24,f587]) ).
fof(f614,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),multiply(X1,X2)),multiply(X1,X2)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f613]) ).
fof(f620,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(identity,X1)),multiply(multiply(identity,inverse(X2)),multiply(identity,X2))),X1) = X0,
inference(paramodulation,[status(thm)],[f22,f587]) ).
fof(f621,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,double_divide(identity,X1)),multiply(multiply(X2,X3),double_divide(X3,X2))),X1) = X0,
inference(paramodulation,[status(thm)],[f24,f587]) ).
fof(f665,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,identity),inverse(X2)),inverse(X2))),identity) = X0,
inference(paramodulation,[status(thm)],[f9,f597]) ).
fof(f666,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,X1),multiply(double_divide(inverse(X1),inverse(X2)),inverse(X2))),identity) = X0,
inference(forward_demodulation,[status(thm)],[f8,f665]) ).
fof(f713,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,double_divide(double_divide(X0,inverse(identity)),identity)),
inference(paramodulation,[status(thm)],[f504,f311]) ).
fof(f714,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,inverse(double_divide(X0,inverse(identity)))),
inference(forward_demodulation,[status(thm)],[f8,f713]) ).
fof(f715,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,multiply(inverse(identity),X0)),
inference(forward_demodulation,[status(thm)],[f13,f714]) ).
fof(f716,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f504,f715]) ).
fof(f736,plain,
identity = double_divide(identity,multiply(identity,identity)),
inference(paramodulation,[status(thm)],[f504,f23]) ).
fof(f737,plain,
identity = multiply(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f716,f736]) ).
fof(f738,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f504,f737]) ).
fof(f758,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,double_divide(double_divide(identity,identity),X1)),identity),X1) = X0,
inference(paramodulation,[status(thm)],[f738,f587]) ).
fof(f759,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,double_divide(double_divide(identity,identity),X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f758]) ).
fof(f760,plain,
! [X0,X1] : multiply(multiply(double_divide(double_divide(identity,identity),X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f13,f759]) ).
fof(f761,plain,
! [X0,X1] : multiply(multiply(double_divide(inverse(identity),X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f8,f760]) ).
fof(f762,plain,
! [X0,X1] : multiply(multiply(double_divide(identity,X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f504,f761]) ).
fof(f783,plain,
! [X0] : multiply(multiply(identity,X0),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f762]) ).
fof(f784,plain,
! [X0] : multiply(multiply(identity,X0),identity) = X0,
inference(forward_demodulation,[status(thm)],[f504,f783]) ).
fof(f790,plain,
! [X0] : multiply(X0,identity) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f543,f784]) ).
fof(f802,plain,
! [X0,X1] : multiply(identity,inverse(inverse(X0))) = double_divide(inverse(X0),double_divide(multiply(identity,inverse(X1)),inverse(inverse(X1)))),
inference(paramodulation,[status(thm)],[f313,f315]) ).
fof(f803,plain,
! [X0,X1] : multiply(identity,multiply(identity,X0)) = double_divide(inverse(X0),double_divide(multiply(identity,inverse(X1)),inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f14,f802]) ).
fof(f804,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),double_divide(multiply(identity,inverse(X1)),inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f543,f803]) ).
fof(f805,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),double_divide(multiply(identity,inverse(X1)),multiply(identity,X1))),
inference(forward_demodulation,[status(thm)],[f14,f804]) ).
fof(f836,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(identity,inverse(X0)),multiply(double_divide(X1,X2),X0)),inverse(X1)) = X2,
inference(paramodulation,[status(thm)],[f315,f587]) ).
fof(f837,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),multiply(double_divide(multiply(identity,inverse(X2)),inverse(double_divide(X2,double_divide(X3,X1)))),inverse(X3))),identity) = X0,
inference(paramodulation,[status(thm)],[f315,f597]) ).
fof(f838,plain,
! [X0,X1,X2,X3] : multiply(identity,double_divide(double_divide(X0,X1),multiply(double_divide(multiply(identity,inverse(X2)),inverse(double_divide(X2,double_divide(X3,X1)))),inverse(X3)))) = X0,
inference(forward_demodulation,[status(thm)],[f790,f837]) ).
fof(f839,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(double_divide(multiply(identity,inverse(X0)),inverse(double_divide(X0,double_divide(X1,X2)))),inverse(X1)),double_divide(X3,X2))) = X3,
inference(forward_demodulation,[status(thm)],[f16,f838]) ).
fof(f840,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(double_divide(multiply(identity,inverse(X0)),multiply(double_divide(X1,X2),X0)),inverse(X1)),double_divide(X3,X2))) = X3,
inference(forward_demodulation,[status(thm)],[f13,f839]) ).
fof(f841,plain,
! [X0,X1] : inverse(multiply(X0,double_divide(X1,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f836,f840]) ).
fof(f852,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2) = inverse(multiply(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f315,f13]) ).
fof(f853,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2) = multiply(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f15,f852]) ).
fof(f854,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2) = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f14,f853]) ).
fof(f855,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f543,f854]) ).
fof(f913,plain,
! [X0,X1] : multiply(identity,multiply(X0,double_divide(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f841,f14]) ).
fof(f927,plain,
! [X0,X1] : multiply(double_divide(identity,X0),identity) = multiply(X1,double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f841,f534]) ).
fof(f928,plain,
! [X0,X1] : multiply(identity,double_divide(identity,X0)) = multiply(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f790,f927]) ).
fof(f929,plain,
! [X0,X1] : inverse(multiply(X0,identity)) = multiply(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f16,f928]) ).
fof(f933,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f534,f762]) ).
fof(f938,plain,
! [X0] : inverse(inverse(multiply(X0,identity))) = X0,
inference(backward_demodulation,[status(thm)],[f929,f841]) ).
fof(f939,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f14,f938]) ).
fof(f940,plain,
! [X0] : multiply(identity,inverse(multiply(X0,identity))) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f929,f913]) ).
fof(f941,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f537,f940]) ).
fof(f947,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f941,f762]) ).
fof(f959,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,inverse(X1)),multiply(multiply(X2,X3),double_divide(X3,X2))),X1) = X0,
inference(backward_demodulation,[status(thm)],[f941,f621]) ).
fof(f960,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,inverse(X1)),multiply(multiply(identity,inverse(X2)),multiply(identity,X2))),X1) = X0,
inference(backward_demodulation,[status(thm)],[f941,f620]) ).
fof(f967,plain,
! [X0] : multiply(inverse(X0),multiply(identity,X0)) = identity,
inference(paramodulation,[status(thm)],[f14,f933]) ).
fof(f968,plain,
! [X0,X1] : multiply(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(paramodulation,[status(thm)],[f13,f933]) ).
fof(f993,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = inverse(double_divide(double_divide(X0,double_divide(X1,identity)),inverse(X1))),
inference(paramodulation,[status(thm)],[f315,f941]) ).
fof(f994,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = multiply(inverse(X1),double_divide(X0,double_divide(X1,identity))),
inference(forward_demodulation,[status(thm)],[f13,f993]) ).
fof(f995,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = multiply(inverse(X1),double_divide(X0,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f8,f994]) ).
fof(f1094,plain,
! [X0] : multiply(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))) = identity,
inference(paramodulation,[status(thm)],[f15,f967]) ).
fof(f1095,plain,
! [X0] : multiply(multiply(identity,inverse(X0)),X0) = identity,
inference(forward_demodulation,[status(thm)],[f543,f1094]) ).
fof(f1129,plain,
! [X0,X1,X2] : multiply(double_divide(identity,multiply(X0,X1)),X2) = multiply(identity,inverse(double_divide(double_divide(X1,X0),X2))),
inference(paramodulation,[status(thm)],[f608,f587]) ).
fof(f1130,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),X2) = multiply(identity,inverse(double_divide(double_divide(X1,X0),X2))),
inference(forward_demodulation,[status(thm)],[f941,f1129]) ).
fof(f1131,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),X2) = multiply(identity,multiply(X2,double_divide(X1,X0))),
inference(forward_demodulation,[status(thm)],[f13,f1130]) ).
fof(f1132,plain,
! [X0,X1] : multiply(identity,inverse(multiply(identity,inverse(double_divide(X0,X1))))) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f608,f315]) ).
fof(f1133,plain,
! [X0,X1] : double_divide(inverse(double_divide(X0,X1)),identity) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f537,f1132]) ).
fof(f1134,plain,
! [X0,X1] : inverse(inverse(double_divide(X0,X1))) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f8,f1133]) ).
fof(f1135,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f14,f1134]) ).
fof(f1136,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X0,double_divide(identity,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f16,f1135]) ).
fof(f1137,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f941,f1136]) ).
fof(f1138,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X0,multiply(identity,X1)),
inference(forward_demodulation,[status(thm)],[f14,f1137]) ).
fof(f1167,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),inverse(multiply(multiply(identity,inverse(X1)),X1))),
inference(backward_demodulation,[status(thm)],[f1138,f805]) ).
fof(f1168,plain,
! [X0] : X0 = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1095,f1167]) ).
fof(f1169,plain,
! [X0] : X0 = double_divide(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f504,f1168]) ).
fof(f1170,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8,f1169]) ).
fof(f1171,plain,
! [X0] : X0 = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f14,f1170]) ).
fof(f1191,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[status(thm)],[f1171,f939]) ).
fof(f1192,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1171,f16]) ).
fof(f1202,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),X2) = multiply(X2,double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1171,f1131]) ).
fof(f1203,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = multiply(X2,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1192,f1202]) ).
fof(f1228,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,inverse(X1)),multiply(inverse(X2),multiply(identity,X2))),X1) = X0,
inference(backward_demodulation,[status(thm)],[f1171,f960]) ).
fof(f1229,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,inverse(X0)),multiply(inverse(X2),multiply(identity,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f1203,f1228]) ).
fof(f1230,plain,
! [X0,X1] : multiply(X0,double_divide(double_divide(X1,inverse(X0)),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f967,f1229]) ).
fof(f1231,plain,
! [X0,X1] : multiply(X0,inverse(double_divide(X1,inverse(X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f1230]) ).
fof(f1232,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f13,f1231]) ).
fof(f1283,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(double_divide(inverse(X1),inverse(X2)),inverse(X2))) = X0,
inference(backward_demodulation,[status(thm)],[f1191,f666]) ).
fof(f1284,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(inverse(X2),double_divide(inverse(X1),inverse(X2)))) = X0,
inference(forward_demodulation,[status(thm)],[f1203,f1283]) ).
fof(f1285,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),multiply(identity,inverse(inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f995,f1284]) ).
fof(f1286,plain,
! [X0,X1] : inverse(multiply(double_divide(X0,X1),inverse(inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f1138,f1285]) ).
fof(f1287,plain,
! [X0,X1] : double_divide(inverse(inverse(X0)),double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1192,f1286]) ).
fof(f1288,plain,
! [X0,X1] : double_divide(multiply(identity,X0),double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f14,f1287]) ).
fof(f1289,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1171,f1288]) ).
fof(f1339,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),identity),multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f933,f614]) ).
fof(f1340,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f1339]) ).
fof(f1341,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f933,f1340]) ).
fof(f1342,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1191,f1341]) ).
fof(f1384,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(double_divide(X0,multiply(X1,X2)),multiply(multiply(X3,X4),double_divide(X4,X3))),double_divide(X2,X1)) = X0,
inference(paramodulation,[status(thm)],[f13,f959]) ).
fof(f1385,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),double_divide(double_divide(X2,multiply(X1,X0)),multiply(multiply(X3,X4),double_divide(X4,X3)))) = X2,
inference(forward_demodulation,[status(thm)],[f1203,f1384]) ).
fof(f1386,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),double_divide(double_divide(X2,multiply(X1,X0)),multiply(double_divide(X3,X4),multiply(X4,X3)))) = X2,
inference(forward_demodulation,[status(thm)],[f1203,f1385]) ).
fof(f1387,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),double_divide(double_divide(X2,multiply(X1,X0)),identity)) = X2,
inference(forward_demodulation,[status(thm)],[f968,f1386]) ).
fof(f1388,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),inverse(double_divide(X2,multiply(X1,X0)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f1387]) ).
fof(f1389,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(multiply(X1,X0),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f13,f1388]) ).
fof(f1608,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f1289,f13]) ).
fof(f1609,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1203,f1608]) ).
fof(f1671,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X1)),X0),
inference(paramodulation,[status(thm)],[f1232,f947]) ).
fof(f1672,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f1342,f1671]) ).
fof(f1747,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f1609,f1232]) ).
fof(f2092,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(double_divide(X2,X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f13,f1747]) ).
fof(f2131,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(double_divide(X0,X1),X2)),X1) = X2,
inference(backward_demodulation,[status(thm)],[f2092,f855]) ).
fof(f2132,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(double_divide(X1,X0),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f1672,f2131]) ).
fof(f3656,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1389,f2132]) ).
fof(f3770,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f3656,f10]) ).
fof(f3771,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f3770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP575-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n019.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 00:30:14 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.14/0.46 % Refutation found
% 0.14/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.48 % Elapsed time: 0.174202 seconds
% 0.14/0.48 % CPU time: 1.309917 seconds
% 0.14/0.48 % Total memory used: 36.790 MB
% 0.14/0.48 % Net memory used: 33.990 MB
%------------------------------------------------------------------------------