TSTP Solution File: GRP582-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP582-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:21:00 EDT 2024
% Result : Unsatisfiable 0.17s 0.39s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of formulae : 118 ( 118 unt; 0 def)
% Number of atoms : 118 ( 117 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 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 : 203 ( 203 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
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(identity,a2) != a2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f14,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X2)),double_divide(identity,identity)),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f16,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,multiply(X2,X1)))),double_divide(identity,identity)),
inference(paramodulation,[status(thm)],[f7,f6]) ).
fof(f37,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X2,double_divide(identity,identity)),double_divide(X1,X0)))) = X2,
inference(paramodulation,[status(thm)],[f6,f14]) ).
fof(f48,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,X2))),X2) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X1)),double_divide(identity,identity)),identity),
inference(paramodulation,[status(thm)],[f14,f7]) ).
fof(f53,plain,
! [X0,X1,X2] : double_divide(multiply(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),X0))),identity) = multiply(identity,double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1))))),
inference(paramodulation,[status(thm)],[f14,f11]) ).
fof(f54,plain,
! [X0,X1,X2] : multiply(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),X0))) = double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))),identity),
inference(paramodulation,[status(thm)],[f14,f7]) ).
fof(f56,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,X2))),X2) = multiply(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),X1))),
inference(forward_demodulation,[status(thm)],[f7,f48]) ).
fof(f57,plain,
! [X0,X1,X2] : double_divide(multiply(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),X0))),identity) = double_divide(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),identity),
inference(forward_demodulation,[status(thm)],[f11,f53]) ).
fof(f58,plain,
! [X0,X1,X2] : multiply(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),X0))) = multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f7,f54]) ).
fof(f60,plain,
! [X0] : identity = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(X0,double_divide(identity,identity)))),X0),
inference(paramodulation,[status(thm)],[f37,f37]) ).
fof(f91,plain,
identity = multiply(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)),
inference(paramodulation,[status(thm)],[f7,f60]) ).
fof(f280,plain,
identity = multiply(double_divide(identity,double_divide(identity,double_divide(identity,identity))),inverse(identity)),
inference(backward_demodulation,[status(thm)],[f8,f91]) ).
fof(f282,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X2,inverse(identity)),double_divide(X1,X0)))) = X2,
inference(backward_demodulation,[status(thm)],[f8,f37]) ).
fof(f284,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,multiply(X2,X1)))),inverse(identity)),
inference(backward_demodulation,[status(thm)],[f8,f16]) ).
fof(f285,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f286,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f287,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f11]) ).
fof(f293,plain,
identity = multiply(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f280]) ).
fof(f296,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f286]) ).
fof(f297,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f286]) ).
fof(f300,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f297,f297]) ).
fof(f362,plain,
! [X0,X1] : X0 = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),double_divide(X0,identity))),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f285]) ).
fof(f370,plain,
! [X0,X1] : X0 = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),inverse(X0))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f362]) ).
fof(f399,plain,
identity = multiply(double_divide(identity,identity),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f9,f293]) ).
fof(f400,plain,
identity = multiply(inverse(identity),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f399]) ).
fof(f457,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(inverse(X0),identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f370]) ).
fof(f459,plain,
! [X0] : X0 = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0))),inverse(identity)),
inference(paramodulation,[status(thm)],[f8,f370]) ).
fof(f471,plain,
! [X0] : double_divide(identity,X0) = double_divide(inverse(inverse(X0)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f457]) ).
fof(f472,plain,
! [X0] : double_divide(identity,X0) = double_divide(multiply(identity,X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f297,f471]) ).
fof(f480,plain,
! [X0] : multiply(inverse(identity),multiply(identity,X0)) = inverse(double_divide(identity,X0)),
inference(paramodulation,[status(thm)],[f472,f286]) ).
fof(f482,plain,
! [X0] : multiply(inverse(identity),multiply(identity,X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f286,f480]) ).
fof(f483,plain,
! [X0,X1] : multiply(double_divide(X0,X1),identity) = multiply(inverse(identity),inverse(multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f287,f482]) ).
fof(f539,plain,
multiply(double_divide(inverse(identity),inverse(identity)),identity) = multiply(inverse(identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f400,f483]) ).
fof(f558,plain,
multiply(double_divide(inverse(identity),inverse(identity)),identity) = identity,
inference(forward_demodulation,[status(thm)],[f400,f539]) ).
fof(f652,plain,
! [X0,X1] : identity = double_divide(X0,double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0)))),
inference(paramodulation,[status(thm)],[f9,f282]) ).
fof(f721,plain,
! [X0] : identity = double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(identity,identity))),
inference(paramodulation,[status(thm)],[f9,f652]) ).
fof(f728,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(double_divide(X0,double_divide(identity,identity)),identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f652,f285]) ).
fof(f751,plain,
! [X0] : identity = double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(identity))),
inference(forward_demodulation,[status(thm)],[f8,f721]) ).
fof(f761,plain,
! [X0] : double_divide(identity,X0) = double_divide(inverse(double_divide(X0,double_divide(identity,identity))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f728]) ).
fof(f762,plain,
! [X0] : double_divide(identity,X0) = double_divide(multiply(double_divide(identity,identity),X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f286,f761]) ).
fof(f763,plain,
! [X0] : double_divide(identity,X0) = double_divide(multiply(inverse(identity),X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f762]) ).
fof(f918,plain,
double_divide(identity,identity) = double_divide(inverse(identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f296,f763]) ).
fof(f929,plain,
inverse(identity) = double_divide(inverse(identity),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f918]) ).
fof(f934,plain,
multiply(inverse(identity),identity) = identity,
inference(backward_demodulation,[status(thm)],[f929,f558]) ).
fof(f947,plain,
inverse(identity) = identity,
inference(forward_demodulation,[status(thm)],[f296,f934]) ).
fof(f969,plain,
! [X0] : double_divide(identity,X0) = double_divide(multiply(inverse(identity),X0),identity),
inference(backward_demodulation,[status(thm)],[f947,f763]) ).
fof(f971,plain,
! [X0] : identity = double_divide(inverse(X0),double_divide(double_divide(identity,X0),identity)),
inference(backward_demodulation,[status(thm)],[f947,f751]) ).
fof(f975,plain,
! [X0] : X0 = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0))),identity),
inference(backward_demodulation,[status(thm)],[f947,f459]) ).
fof(f999,plain,
! [X0] : double_divide(identity,X0) = inverse(multiply(inverse(identity),X0)),
inference(forward_demodulation,[status(thm)],[f8,f969]) ).
fof(f1000,plain,
! [X0] : double_divide(identity,X0) = inverse(multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f947,f999]) ).
fof(f1001,plain,
! [X0] : identity = double_divide(inverse(X0),inverse(double_divide(identity,X0))),
inference(forward_demodulation,[status(thm)],[f8,f971]) ).
fof(f1002,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(X0,identity)),
inference(forward_demodulation,[status(thm)],[f286,f1001]) ).
fof(f1014,plain,
! [X0] : X0 = inverse(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f8,f975]) ).
fof(f1015,plain,
! [X0] : X0 = multiply(double_divide(inverse(identity),inverse(X0)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f286,f1014]) ).
fof(f1016,plain,
! [X0] : X0 = multiply(double_divide(identity,inverse(X0)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f947,f1015]) ).
fof(f1017,plain,
! [X0] : X0 = multiply(double_divide(identity,inverse(X0)),identity),
inference(forward_demodulation,[status(thm)],[f947,f1016]) ).
fof(f1065,plain,
! [X0] : double_divide(identity,X0) = multiply(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f300,f1000]) ).
fof(f1193,plain,
! [X0] : double_divide(identity,inverse(X0)) = inverse(double_divide(identity,X0)),
inference(paramodulation,[status(thm)],[f1065,f1000]) ).
fof(f1201,plain,
! [X0] : double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f286,f1193]) ).
fof(f1253,plain,
! [X0] : X0 = multiply(multiply(X0,identity),identity),
inference(backward_demodulation,[status(thm)],[f1201,f1017]) ).
fof(f1267,plain,
! [X0] : multiply(inverse(X0),identity) = inverse(multiply(X0,identity)),
inference(paramodulation,[status(thm)],[f1201,f286]) ).
fof(f1630,plain,
! [X0] : multiply(multiply(X0,identity),identity) = double_divide(identity,multiply(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f1267,f1201]) ).
fof(f1652,plain,
! [X0] : X0 = double_divide(identity,multiply(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f1253,f1630]) ).
fof(f1853,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,multiply(X2,X1)))),identity),
inference(forward_demodulation,[status(thm)],[f947,f284]) ).
fof(f1854,plain,
! [X0,X1,X2] : X0 = inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,multiply(X2,X1))))),
inference(forward_demodulation,[status(thm)],[f8,f1853]) ).
fof(f1855,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,multiply(X2,X1))),identity),
inference(forward_demodulation,[status(thm)],[f286,f1854]) ).
fof(f1875,plain,
! [X0] : inverse(X0) = multiply(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity),
inference(paramodulation,[status(thm)],[f1002,f1855]) ).
fof(f1970,plain,
! [X0] : inverse(X0) = multiply(inverse(double_divide(identity,double_divide(identity,X0))),identity),
inference(forward_demodulation,[status(thm)],[f8,f1875]) ).
fof(f1971,plain,
! [X0] : inverse(X0) = multiply(multiply(double_divide(identity,X0),identity),identity),
inference(forward_demodulation,[status(thm)],[f286,f1970]) ).
fof(f1972,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f1253,f1971]) ).
fof(f2035,plain,
! [X0] : X0 = inverse(multiply(inverse(X0),identity)),
inference(backward_demodulation,[status(thm)],[f1972,f1652]) ).
fof(f2038,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(backward_demodulation,[status(thm)],[f1972,f1201]) ).
fof(f2049,plain,
! [X0] : inverse(X0) = inverse(multiply(identity,X0)),
inference(backward_demodulation,[status(thm)],[f1972,f1000]) ).
fof(f2058,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(forward_demodulation,[status(thm)],[f1267,f2035]) ).
fof(f2059,plain,
! [X0] : X0 = multiply(multiply(identity,X0),identity),
inference(forward_demodulation,[status(thm)],[f297,f2058]) ).
fof(f2149,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = multiply(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),X1))),
inference(forward_demodulation,[status(thm)],[f1972,f56]) ).
fof(f2150,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = multiply(inverse(identity),double_divide(identity,double_divide(double_divide(identity,identity),X1))),
inference(forward_demodulation,[status(thm)],[f1972,f2149]) ).
fof(f2151,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = multiply(identity,double_divide(identity,double_divide(double_divide(identity,identity),X1))),
inference(forward_demodulation,[status(thm)],[f947,f2150]) ).
fof(f2152,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = inverse(multiply(double_divide(double_divide(identity,identity),X1),identity)),
inference(forward_demodulation,[status(thm)],[f287,f2151]) ).
fof(f2153,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = multiply(inverse(double_divide(double_divide(identity,identity),X1)),identity),
inference(forward_demodulation,[status(thm)],[f1267,f2152]) ).
fof(f2154,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = multiply(multiply(X1,double_divide(identity,identity)),identity),
inference(forward_demodulation,[status(thm)],[f286,f2153]) ).
fof(f2155,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = multiply(multiply(X1,inverse(identity)),identity),
inference(forward_demodulation,[status(thm)],[f1972,f2154]) ).
fof(f2156,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = multiply(multiply(X1,identity),identity),
inference(forward_demodulation,[status(thm)],[f947,f2155]) ).
fof(f2158,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f1253,f2156]) ).
fof(f2282,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),X0)))) = double_divide(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),identity),
inference(forward_demodulation,[status(thm)],[f8,f57]) ).
fof(f2283,plain,
! [X0,X1,X2] : inverse(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(identity,identity),X0)))) = double_divide(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),identity),
inference(forward_demodulation,[status(thm)],[f1972,f2282]) ).
fof(f2284,plain,
! [X0,X1,X2] : inverse(multiply(identity,double_divide(identity,double_divide(double_divide(identity,identity),X0)))) = double_divide(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),identity),
inference(forward_demodulation,[status(thm)],[f947,f2283]) ).
fof(f2285,plain,
! [X0,X1,X2] : inverse(double_divide(identity,double_divide(double_divide(identity,identity),X0))) = double_divide(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),identity),
inference(forward_demodulation,[status(thm)],[f2049,f2284]) ).
fof(f2286,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(identity,identity),X0),identity) = double_divide(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),identity),
inference(forward_demodulation,[status(thm)],[f286,f2285]) ).
fof(f2287,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(identity),X0),identity) = double_divide(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),identity),
inference(forward_demodulation,[status(thm)],[f1972,f2286]) ).
fof(f2288,plain,
! [X0,X1,X2] : multiply(double_divide(identity,X0),identity) = double_divide(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),identity),
inference(forward_demodulation,[status(thm)],[f947,f2287]) ).
fof(f2289,plain,
! [X0,X1,X2] : multiply(inverse(X0),identity) = double_divide(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),identity),
inference(forward_demodulation,[status(thm)],[f1972,f2288]) ).
fof(f2290,plain,
! [X0,X1,X2] : multiply(inverse(X0),identity) = inverse(multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2)),
inference(forward_demodulation,[status(thm)],[f8,f2289]) ).
fof(f2291,plain,
! [X0,X1,X2] : multiply(inverse(X0),identity) = inverse(multiply(double_divide(inverse(X1),double_divide(X0,double_divide(X1,X2))),X2)),
inference(forward_demodulation,[status(thm)],[f1972,f2290]) ).
fof(f2295,plain,
! [X0] : multiply(inverse(X0),identity) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f2158,f2291]) ).
fof(f2319,plain,
! [X0,X1,X2] : multiply(inverse(identity),double_divide(identity,double_divide(double_divide(identity,identity),X0))) = multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f1972,f58]) ).
fof(f2320,plain,
! [X0,X1,X2] : multiply(identity,double_divide(identity,double_divide(double_divide(identity,identity),X0))) = multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f947,f2319]) ).
fof(f2321,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(double_divide(identity,identity),X0),identity)) = multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f287,f2320]) ).
fof(f2322,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(inverse(identity),X0),identity)) = multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f1972,f2321]) ).
fof(f2323,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(identity,X0),identity)) = multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f947,f2322]) ).
fof(f2324,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),identity)) = multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f1972,f2323]) ).
fof(f2325,plain,
! [X0,X1,X2] : inverse(inverse(X0)) = multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f2295,f2324]) ).
fof(f2326,plain,
! [X0,X1,X2] : multiply(X0,identity) = multiply(double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f2038,f2325]) ).
fof(f2327,plain,
! [X0,X1,X2] : multiply(X0,identity) = multiply(double_divide(inverse(X1),double_divide(X0,double_divide(X1,X2))),X2),
inference(forward_demodulation,[status(thm)],[f1972,f2326]) ).
fof(f2328,plain,
! [X0] : multiply(X0,identity) = X0,
inference(paramodulation,[status(thm)],[f2158,f2327]) ).
fof(f2368,plain,
! [X0] : X0 = multiply(identity,X0),
inference(backward_demodulation,[status(thm)],[f2328,f2059]) ).
fof(f2383,plain,
$false,
inference(resolution,[status(thm)],[f2368,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP582-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:39:04 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.17/0.39 % Refutation found
% 0.17/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.41 % Elapsed time: 0.075757 seconds
% 0.17/0.41 % CPU time: 0.526491 seconds
% 0.17/0.41 % Total memory used: 34.292 MB
% 0.17/0.41 % Net memory used: 33.574 MB
%------------------------------------------------------------------------------