TSTP Solution File: GRP102-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP102-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 : Wed May 31 12:10:13 EDT 2023
% Result : Unsatisfiable 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 9
% Syntax : Number of formulae : 228 ( 209 unt; 0 def)
% Number of atoms : 253 ( 224 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 461 (; 461 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = double_divide(double_divide(Y,X),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : inverse(X) = double_divide(X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : identity = double_divide(X,inverse(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),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(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = identity ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(inverse(a1),a1) != identity
| spl0_0 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_1
<=> multiply(identity,a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( multiply(identity,a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f19,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f22,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f10,f11,f14,f17,f20]) ).
fof(f24,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f25,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f24]) ).
fof(f26,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f28,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f26]) ).
fof(f29,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f26,f9]) ).
fof(f31,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f28,f28]) ).
fof(f32,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f35,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(double_divide(X2,double_divide(identity,X0)),X1),inverse(X2)),
inference(paramodulation,[status(thm)],[f25,f25]) ).
fof(f36,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X0)),double_divide(X2,inverse(X1))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f25,f25]) ).
fof(f37,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f9,f25]) ).
fof(f38,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f26,f37]) ).
fof(f41,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(double_divide(X3,X2),X0),inverse(X3)))))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f25,f25]) ).
fof(f42,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(double_divide(X2,X3),X0),inverse(X2)),X3))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f26,f41]) ).
fof(f43,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f25]) ).
fof(f45,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(inverse(X1),X0),X2),multiply(identity,X1))),inverse(identity)) = X2,
inference(paramodulation,[status(thm)],[f28,f25]) ).
fof(f58,plain,
! [X0,X1,X2] : double_divide(double_divide(multiply(X0,X1),double_divide(double_divide(identity,X2),inverse(double_divide(X1,X0)))),inverse(identity)) = X2,
inference(paramodulation,[status(thm)],[f29,f25]) ).
fof(f59,plain,
! [X0,X1,X2] : double_divide(double_divide(multiply(X0,X1),double_divide(double_divide(identity,X2),multiply(X0,X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f26,f58]) ).
fof(f127,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,inverse(X1)),inverse(identity)) = double_divide(double_divide(double_divide(X2,double_divide(identity,X0)),inverse(identity)),inverse(double_divide(X1,double_divide(identity,X2)))),
inference(paramodulation,[status(thm)],[f35,f35]) ).
fof(f128,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,inverse(X1)),inverse(identity)) = double_divide(double_divide(double_divide(X2,double_divide(identity,X0)),inverse(identity)),multiply(double_divide(identity,X2),X1)),
inference(forward_demodulation,[status(thm)],[f26,f127]) ).
fof(f135,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),X0),inverse(identity)) = double_divide(double_divide(double_divide(X1,identity),X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f9,f35]) ).
fof(f136,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),X0),inverse(identity)) = double_divide(double_divide(inverse(X1),X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f135]) ).
fof(f141,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),inverse(identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f35,f25]) ).
fof(f150,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(X0),double_divide(double_divide(double_divide(double_divide(X1,X2),inverse(identity)),X3),inverse(double_divide(double_divide(X0,double_divide(identity,X1)),X2)))),inverse(identity)) = X3,
inference(paramodulation,[status(thm)],[f35,f25]) ).
fof(f151,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(X0),double_divide(double_divide(double_divide(double_divide(X1,X2),inverse(identity)),X3),multiply(X2,double_divide(X0,double_divide(identity,X1))))),inverse(identity)) = X3,
inference(forward_demodulation,[status(thm)],[f26,f150]) ).
fof(f245,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,inverse(X0)),double_divide(multiply(X1,X0),inverse(X1))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f29,f36]) ).
fof(f318,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(double_divide(identity,double_divide(identity,X0)),X1),
inference(paramodulation,[status(thm)],[f35,f38]) ).
fof(f319,plain,
! [X0,X1] : multiply(X0,X1) = multiply(double_divide(identity,double_divide(identity,X0)),X1),
inference(forward_demodulation,[status(thm)],[f38,f318]) ).
fof(f320,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f9,f38]) ).
fof(f321,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f8,f320]) ).
fof(f332,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),inverse(identity)),inverse(identity)) = double_divide(multiply(X1,X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f38,f35]) ).
fof(f333,plain,
! [X0,X1] : double_divide(multiply(X0,identity),inverse(identity)) = double_divide(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f321,f332]) ).
fof(f370,plain,
! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = multiply(double_divide(X1,X0),identity),
inference(paramodulation,[status(thm)],[f26,f321]) ).
fof(f379,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X0,identity),X1),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f321,f25]) ).
fof(f380,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X0,identity),X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f28,f379]) ).
fof(f397,plain,
! [X0,X1] : multiply(double_divide(identity,X0),identity) = double_divide(multiply(X1,X0),inverse(X1)),
inference(backward_demodulation,[status(thm)],[f370,f333]) ).
fof(f404,plain,
! [X0] : double_divide(double_divide(double_divide(identity,inverse(X0)),multiply(double_divide(identity,X0),identity)),inverse(identity)) = inverse(identity),
inference(backward_demodulation,[status(thm)],[f397,f245]) ).
fof(f434,plain,
! [X0,X1] : multiply(identity,multiply(double_divide(X0,X1),identity)) = inverse(multiply(inverse(identity),multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f370,f32]) ).
fof(f437,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(double_divide(X0,X1),identity),X2),inverse(multiply(X1,X0)))),inverse(identity)) = X2,
inference(paramodulation,[status(thm)],[f370,f25]) ).
fof(f438,plain,
! [X0,X1] : multiply(inverse(identity),multiply(X0,X1)) = inverse(multiply(double_divide(X1,X0),identity)),
inference(paramodulation,[status(thm)],[f370,f26]) ).
fof(f473,plain,
! [X0] : multiply(double_divide(identity,X0),identity) = multiply(double_divide(X0,identity),identity),
inference(paramodulation,[status(thm)],[f370,f397]) ).
fof(f474,plain,
! [X0] : multiply(double_divide(identity,X0),identity) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f8,f473]) ).
fof(f490,plain,
! [X0,X1] : multiply(double_divide(identity,X0),identity) = double_divide(multiply(inverse(X1),X0),multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f28,f397]) ).
fof(f491,plain,
! [X0,X1] : multiply(inverse(X0),identity) = double_divide(multiply(inverse(X1),X0),multiply(identity,X1)),
inference(forward_demodulation,[status(thm)],[f474,f490]) ).
fof(f503,plain,
! [X0,X1] : multiply(identity,multiply(double_divide(identity,X0),identity)) = inverse(multiply(inverse(X1),multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f397,f32]) ).
fof(f504,plain,
! [X0,X1] : multiply(identity,multiply(inverse(X0),identity)) = inverse(multiply(inverse(X1),multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f474,f503]) ).
fof(f507,plain,
! [X0,X1] : identity = double_divide(multiply(double_divide(identity,X0),identity),multiply(inverse(X1),multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f397,f29]) ).
fof(f508,plain,
! [X0,X1] : identity = double_divide(multiply(inverse(X0),identity),multiply(inverse(X1),multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f474,f507]) ).
fof(f511,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = inverse(multiply(double_divide(identity,X1),identity)),
inference(paramodulation,[status(thm)],[f397,f26]) ).
fof(f512,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(identity),multiply(X1,identity)),
inference(forward_demodulation,[status(thm)],[f438,f511]) ).
fof(f515,plain,
! [X0] : double_divide(double_divide(double_divide(identity,inverse(X0)),multiply(inverse(X0),identity)),inverse(identity)) = inverse(identity),
inference(backward_demodulation,[status(thm)],[f474,f404]) ).
fof(f516,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f29,f515]) ).
fof(f517,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f516]) ).
fof(f523,plain,
! [X0,X1] : double_divide(multiply(X0,X1),identity) = multiply(double_divide(X1,X0),identity),
inference(backward_demodulation,[status(thm)],[f517,f370]) ).
fof(f524,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(double_divide(X1,X0),identity),
inference(forward_demodulation,[status(thm)],[f8,f523]) ).
fof(f525,plain,
! [X0] : double_divide(inverse(X0),identity) = multiply(X0,identity),
inference(backward_demodulation,[status(thm)],[f517,f321]) ).
fof(f526,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f8,f525]) ).
fof(f527,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f28,f526]) ).
fof(f528,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),identity) = multiply(X0,X1),
inference(backward_demodulation,[status(thm)],[f517,f38]) ).
fof(f529,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(identity,inverse(X1)))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f8,f528]) ).
fof(f530,plain,
! [X0,X1] : multiply(double_divide(identity,inverse(X0)),X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f26,f529]) ).
fof(f541,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f517,f25]) ).
fof(f542,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f541]) ).
fof(f543,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X0)),X1) = X2,
inference(forward_demodulation,[status(thm)],[f26,f542]) ).
fof(f546,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,multiply(X1,identity)),
inference(backward_demodulation,[status(thm)],[f517,f512]) ).
fof(f577,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(double_divide(X0,X1),identity),X2),inverse(multiply(X1,X0)))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f517,f437]) ).
fof(f578,plain,
! [X0,X1,X2] : inverse(double_divide(inverse(identity),double_divide(double_divide(multiply(double_divide(X0,X1),identity),X2),inverse(multiply(X1,X0))))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f577]) ).
fof(f579,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(multiply(double_divide(X0,X1),identity),X2),inverse(multiply(X1,X0))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f26,f578]) ).
fof(f580,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(inverse(multiply(X0,X1)),X2),inverse(multiply(X0,X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f524,f579]) ).
fof(f581,plain,
! [X0] : multiply(double_divide(double_divide(inverse(identity),X0),inverse(identity)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f136,f580]) ).
fof(f582,plain,
! [X0] : multiply(double_divide(double_divide(identity,X0),inverse(identity)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f517,f581]) ).
fof(f583,plain,
! [X0] : multiply(double_divide(double_divide(identity,X0),identity),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f517,f582]) ).
fof(f584,plain,
! [X0] : multiply(inverse(double_divide(identity,X0)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f583]) ).
fof(f585,plain,
! [X0] : multiply(multiply(X0,identity),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f26,f584]) ).
fof(f586,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(forward_demodulation,[status(thm)],[f517,f585]) ).
fof(f587,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f527,f586]) ).
fof(f592,plain,
! [X0,X1] : multiply(identity,multiply(double_divide(X0,X1),identity)) = inverse(multiply(identity,multiply(X1,X0))),
inference(backward_demodulation,[status(thm)],[f517,f434]) ).
fof(f593,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(identity,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f587,f592]) ).
fof(f594,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(identity,inverse(multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f31,f593]) ).
fof(f604,plain,
! [X0,X1] : double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X0,identity),X1),multiply(identity,X0))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f517,f380]) ).
fof(f605,plain,
! [X0,X1] : inverse(double_divide(inverse(identity),double_divide(double_divide(multiply(X0,identity),X1),multiply(identity,X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f604]) ).
fof(f606,plain,
! [X0,X1] : multiply(double_divide(double_divide(multiply(X0,identity),X1),multiply(identity,X0)),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f26,f605]) ).
fof(f607,plain,
! [X0,X1] : multiply(double_divide(double_divide(multiply(X0,identity),X1),multiply(identity,X0)),identity) = X1,
inference(forward_demodulation,[status(thm)],[f517,f606]) ).
fof(f608,plain,
! [X0,X1] : inverse(multiply(multiply(identity,X0),double_divide(multiply(X0,identity),X1))) = X1,
inference(forward_demodulation,[status(thm)],[f524,f607]) ).
fof(f691,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(X0),double_divide(double_divide(double_divide(double_divide(X1,X2),inverse(identity)),X3),multiply(X2,double_divide(X0,double_divide(identity,X1))))),identity) = X3,
inference(backward_demodulation,[status(thm)],[f517,f151]) ).
fof(f692,plain,
! [X0,X1,X2,X3] : inverse(double_divide(inverse(X0),double_divide(double_divide(double_divide(double_divide(X1,X2),inverse(identity)),X3),multiply(X2,double_divide(X0,double_divide(identity,X1)))))) = X3,
inference(forward_demodulation,[status(thm)],[f8,f691]) ).
fof(f693,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(double_divide(double_divide(X0,X1),inverse(identity)),X2),multiply(X1,double_divide(X3,double_divide(identity,X0)))),inverse(X3)) = X2,
inference(forward_demodulation,[status(thm)],[f26,f692]) ).
fof(f694,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(double_divide(double_divide(X0,X1),identity),X2),multiply(X1,double_divide(X3,double_divide(identity,X0)))),inverse(X3)) = X2,
inference(forward_demodulation,[status(thm)],[f517,f693]) ).
fof(f695,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(inverse(double_divide(X0,X1)),X2),multiply(X1,double_divide(X3,double_divide(identity,X0)))),inverse(X3)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f694]) ).
fof(f696,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(multiply(X0,X1),X2),multiply(X0,double_divide(X3,double_divide(identity,X1)))),inverse(X3)) = X2,
inference(forward_demodulation,[status(thm)],[f26,f695]) ).
fof(f703,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),inverse(identity))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f517,f141]) ).
fof(f704,plain,
! [X0,X1] : inverse(double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),inverse(identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f703]) ).
fof(f705,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(identity,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f26,f704]) ).
fof(f706,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),identity),double_divide(identity,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f517,f705]) ).
fof(f707,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),double_divide(identity,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f706]) ).
fof(f708,plain,
! [X0,X1] : multiply(multiply(X0,X1),double_divide(identity,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f26,f707]) ).
fof(f739,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,inverse(X1)),inverse(identity)) = double_divide(double_divide(double_divide(X2,double_divide(identity,X0)),identity),multiply(double_divide(identity,X2),X1)),
inference(backward_demodulation,[status(thm)],[f517,f128]) ).
fof(f740,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,inverse(X1)),identity) = double_divide(double_divide(double_divide(X2,double_divide(identity,X0)),identity),multiply(double_divide(identity,X2),X1)),
inference(forward_demodulation,[status(thm)],[f517,f739]) ).
fof(f741,plain,
! [X0,X1,X2] : inverse(double_divide(X0,inverse(X1))) = double_divide(double_divide(double_divide(X2,double_divide(identity,X0)),identity),multiply(double_divide(identity,X2),X1)),
inference(forward_demodulation,[status(thm)],[f8,f740]) ).
fof(f742,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = double_divide(double_divide(double_divide(X2,double_divide(identity,X1)),identity),multiply(double_divide(identity,X2),X0)),
inference(forward_demodulation,[status(thm)],[f26,f741]) ).
fof(f743,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = double_divide(inverse(double_divide(X2,double_divide(identity,X1))),multiply(double_divide(identity,X2),X0)),
inference(forward_demodulation,[status(thm)],[f8,f742]) ).
fof(f744,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = double_divide(multiply(double_divide(identity,X1),X2),multiply(double_divide(identity,X2),X0)),
inference(forward_demodulation,[status(thm)],[f26,f743]) ).
fof(f752,plain,
! [X0,X1,X2] : double_divide(double_divide(multiply(X0,X1),double_divide(double_divide(identity,X2),multiply(X0,X1))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f517,f59]) ).
fof(f753,plain,
! [X0,X1,X2] : inverse(double_divide(multiply(X0,X1),double_divide(double_divide(identity,X2),multiply(X0,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f752]) ).
fof(f754,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(identity,X0),multiply(X1,X2)),multiply(X1,X2)) = X0,
inference(forward_demodulation,[status(thm)],[f26,f753]) ).
fof(f760,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(inverse(X1),X0),X2),multiply(identity,X1))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f517,f45]) ).
fof(f761,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(double_divide(inverse(X1),X0),X2),multiply(identity,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f760]) ).
fof(f762,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(inverse(X0),X1),X2),multiply(identity,X0)),X1) = X2,
inference(forward_demodulation,[status(thm)],[f26,f761]) ).
fof(f767,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f517,f43]) ).
fof(f768,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f767]) ).
fof(f769,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),inverse(X1)),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f26,f768]) ).
fof(f770,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(double_divide(X2,X3),X0),inverse(X2)),X3))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f517,f42]) ).
fof(f771,plain,
! [X0,X1,X2,X3] : inverse(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(double_divide(X2,X3),X0),inverse(X2)),X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f770]) ).
fof(f772,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(double_divide(X2,X3),X0),inverse(X2)),X3)),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f26,f771]) ).
fof(f773,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),X0),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f543,f772]) ).
fof(f774,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),X0),identity) = X1,
inference(forward_demodulation,[status(thm)],[f517,f773]) ).
fof(f775,plain,
! [X0,X1] : inverse(multiply(X0,double_divide(X0,X1))) = X1,
inference(forward_demodulation,[status(thm)],[f524,f774]) ).
fof(f786,plain,
! [X0] : identity = double_divide(multiply(inverse(X0),identity),multiply(identity,multiply(X0,identity))),
inference(backward_demodulation,[status(thm)],[f546,f508]) ).
fof(f787,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,multiply(X0,identity))),
inference(forward_demodulation,[status(thm)],[f527,f786]) ).
fof(f788,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),X0),
inference(forward_demodulation,[status(thm)],[f587,f787]) ).
fof(f789,plain,
! [X0] : multiply(identity,multiply(inverse(X0),identity)) = inverse(multiply(identity,multiply(X0,identity))),
inference(backward_demodulation,[status(thm)],[f546,f504]) ).
fof(f790,plain,
! [X0] : inverse(X0) = inverse(multiply(identity,multiply(X0,identity))),
inference(forward_demodulation,[status(thm)],[f587,f789]) ).
fof(f791,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(multiply(X0,identity))),
inference(forward_demodulation,[status(thm)],[f31,f790]) ).
fof(f792,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f594,f791]) ).
fof(f795,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(double_divide(identity,X0)),X1),
inference(backward_demodulation,[status(thm)],[f792,f319]) ).
fof(f796,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,identity),X1),
inference(forward_demodulation,[status(thm)],[f26,f795]) ).
fof(f804,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X1,X0),
inference(backward_demodulation,[status(thm)],[f792,f530]) ).
fof(f805,plain,
! [X0,X1] : multiply(multiply(identity,X0),X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f28,f804]) ).
fof(f806,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),inverse(X1)),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f792,f769]) ).
fof(f807,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),multiply(X1,X2)),multiply(X1,X2)) = X0,
inference(backward_demodulation,[status(thm)],[f792,f754]) ).
fof(f808,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = double_divide(multiply(double_divide(identity,X1),X2),multiply(inverse(X2),X0)),
inference(backward_demodulation,[status(thm)],[f792,f744]) ).
fof(f809,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = double_divide(multiply(inverse(X1),X2),multiply(inverse(X2),X0)),
inference(forward_demodulation,[status(thm)],[f792,f808]) ).
fof(f810,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f792,f708]) ).
fof(f812,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(multiply(X0,X1),X2),multiply(X0,double_divide(X3,inverse(X1)))),inverse(X3)) = X2,
inference(backward_demodulation,[status(thm)],[f792,f696]) ).
fof(f816,plain,
! [X0,X1] : inverse(multiply(double_divide(multiply(X0,identity),X1),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f805,f608]) ).
fof(f869,plain,
! [X0] : multiply(multiply(X0,identity),inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f527,f810]) ).
fof(f870,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f796,f869]) ).
fof(f871,plain,
! [X0] : multiply(multiply(identity,X0),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f527,f810]) ).
fof(f872,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(forward_demodulation,[status(thm)],[f805,f871]) ).
fof(f873,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f517,f872]) ).
fof(f891,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f873,f32]) ).
fof(f894,plain,
! [X0] : X0 = multiply(X0,identity),
inference(backward_demodulation,[status(thm)],[f873,f527]) ).
fof(f902,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f873,f788]) ).
fof(f909,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(backward_demodulation,[status(thm)],[f873,f805]) ).
fof(f910,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(inverse(X0),X1),X2),X0),X1) = X2,
inference(backward_demodulation,[status(thm)],[f873,f762]) ).
fof(f911,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(double_divide(inverse(X1),X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f909,f910]) ).
fof(f912,plain,
! [X0,X1] : multiply(inverse(X0),identity) = double_divide(multiply(inverse(X1),X0),X1),
inference(backward_demodulation,[status(thm)],[f873,f491]) ).
fof(f913,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = double_divide(multiply(inverse(X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f527,f912]) ).
fof(f914,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f873,f913]) ).
fof(f920,plain,
! [X0,X1] : double_divide(X0,double_divide(multiply(X0,identity),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f891,f816]) ).
fof(f921,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f894,f920]) ).
fof(f922,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f891,f775]) ).
fof(f937,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f909]) ).
fof(f938,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f937]) ).
fof(f939,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f909,f19]) ).
fof(f950,plain,
! [X0] : multiply(identity,inverse(inverse(X0))) = X0,
inference(paramodulation,[status(thm)],[f870,f810]) ).
fof(f951,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f873,f950]) ).
fof(f974,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f909,f810]) ).
fof(f975,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f909,f974]) ).
fof(f976,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f909,f29]) ).
fof(f1144,plain,
! [X0,X1] : multiply(X0,inverse(inverse(X1))) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f806,f810]) ).
fof(f1145,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f951,f1144]) ).
fof(f1163,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f921,f26]) ).
fof(f1164,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f909,f1163]) ).
fof(f1174,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f922,f922]) ).
fof(f1175,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f921,f922]) ).
fof(f1203,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f1174,f26]) ).
fof(f1204,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f909,f1203]) ).
fof(f1275,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),multiply(X1,X2)),multiply(X2,X1)) = X0,
inference(paramodulation,[status(thm)],[f909,f807]) ).
fof(f1276,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(inverse(X2),multiply(X1,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f909,f1275]) ).
fof(f1307,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,X2))) = double_divide(inverse(X0),multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f807,f810]) ).
fof(f1308,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(inverse(X0),multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f891,f1307]) ).
fof(f1317,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,double_divide(X0,X1))) = X2,
inference(backward_demodulation,[status(thm)],[f1308,f1276]) ).
fof(f1397,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(multiply(X1,X0),X2)) = X2,
inference(paramodulation,[status(thm)],[f891,f975]) ).
fof(f1674,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f1204,f914]) ).
fof(f1675,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f26,f1674]) ).
fof(f1676,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),X1)) = double_divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f1164,f914]) ).
fof(f1677,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f26,f1676]) ).
fof(f1742,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = double_divide(multiply(inverse(X1),X2),double_divide(inverse(X0),X2)),
inference(backward_demodulation,[status(thm)],[f1675,f809]) ).
fof(f1743,plain,
! [X0,X1,X2] : double_divide(inverse(X0),X1) = double_divide(multiply(inverse(X0),X2),double_divide(inverse(X1),X2)),
inference(forward_demodulation,[status(thm)],[f1675,f1742]) ).
fof(f1744,plain,
! [X0,X1,X2] : double_divide(inverse(X0),X1) = double_divide(double_divide(inverse(X2),X0),double_divide(inverse(X1),X2)),
inference(forward_demodulation,[status(thm)],[f1675,f1743]) ).
fof(f1757,plain,
! [X0,X1,X2,X3] : double_divide(inverse(double_divide(double_divide(multiply(X0,X1),X2),multiply(X0,double_divide(X3,inverse(X1))))),X3) = X2,
inference(backward_demodulation,[status(thm)],[f1677,f812]) ).
fof(f1758,plain,
! [X0,X1,X2,X3] : double_divide(X0,inverse(double_divide(double_divide(multiply(X1,X2),X3),multiply(X1,double_divide(X0,inverse(X2)))))) = X3,
inference(forward_demodulation,[status(thm)],[f1175,f1757]) ).
fof(f1759,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(X1,double_divide(X0,inverse(X2))),double_divide(multiply(X1,X2),X3))) = X3,
inference(forward_demodulation,[status(thm)],[f26,f1758]) ).
fof(f1780,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,double_divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f1174,f911]) ).
fof(f1781,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(double_divide(inverse(X2),X0),X1),
inference(paramodulation,[status(thm)],[f921,f911]) ).
fof(f1853,plain,
! [X0,X1,X2] : double_divide(inverse(X0),X1) = multiply(X2,double_divide(double_divide(inverse(X2),X0),X1)),
inference(backward_demodulation,[status(thm)],[f1780,f1744]) ).
fof(f1854,plain,
! [X0,X1,X2] : double_divide(inverse(X0),X1) = multiply(X2,multiply(X0,double_divide(X1,X2))),
inference(forward_demodulation,[status(thm)],[f1781,f1853]) ).
fof(f2178,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(inverse(X0),double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f891,f1145]) ).
fof(f3013,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = multiply(X2,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f1317,f1397]) ).
fof(f4391,plain,
! [X0,X1,X2] : double_divide(X0,inverse(multiply(X1,X2))) = multiply(X1,double_divide(X0,inverse(X2))),
inference(paramodulation,[status(thm)],[f1204,f1759]) ).
fof(f4392,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X1,X2)) = multiply(X2,double_divide(X0,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f891,f4391]) ).
fof(f4899,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X2,double_divide(inverse(X1),inverse(X0))),
inference(paramodulation,[status(thm)],[f1145,f3013]) ).
fof(f4900,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = double_divide(inverse(X1),double_divide(X0,X2)),
inference(forward_demodulation,[status(thm)],[f4392,f4899]) ).
fof(f4901,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f2178,f4900]) ).
fof(f5778,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(X1,X2)) = multiply(multiply(X1,X2),multiply(X0,identity)),
inference(paramodulation,[status(thm)],[f976,f1854]) ).
fof(f5779,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X1),multiply(X0,identity)),
inference(forward_demodulation,[status(thm)],[f2178,f5778]) ).
fof(f5780,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(multiply(X0,identity),X2)),
inference(forward_demodulation,[status(thm)],[f4901,f5779]) ).
fof(f5781,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(identity,multiply(X2,X0))),
inference(forward_demodulation,[status(thm)],[f4901,f5780]) ).
fof(f5782,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f873,f5781]) ).
fof(f5895,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f939,f5782]) ).
fof(f5896,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f5895]) ).
fof(f5899,plain,
( double_divide(inverse(a1),a1) != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1675,f13]) ).
fof(f5900,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f902,f5899]) ).
fof(f5901,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f5900]) ).
fof(f5902,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f5901]) ).
fof(f5907,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f873,f16]) ).
fof(f5908,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f5907]) ).
fof(f5909,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f5908]) ).
fof(f5910,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f938,f5896,f5902,f5909]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP102-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 12:03:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.46 % Refutation found
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.48 % Elapsed time: 0.139743 seconds
% 0.19/0.48 % CPU time: 0.984507 seconds
% 0.19/0.48 % Memory used: 52.679 MB
%------------------------------------------------------------------------------