TSTP Solution File: GRP076-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP076-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:10:08 EDT 2023
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 8
% Syntax : Number of formulae : 135 ( 119 unt; 0 def)
% Number of atoms : 154 ( 131 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 16 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 210 (; 210 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),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)) ),
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_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f10,f11,f14,f17]) ).
fof(f21,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f22,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f21]) ).
fof(f23,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f24,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f23]) ).
fof(f25,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f23]) ).
fof(f26,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f9]) ).
fof(f27,plain,
! [X0,X1] : multiply(multiply(X0,X1),double_divide(X1,X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f28,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f25,f25]) ).
fof(f29,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f31,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f25,f9]) ).
fof(f32,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(X0,identity),X2),X1),inverse(X2)),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f33,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(double_divide(inverse(X0),X2),X1),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f8,f32]) ).
fof(f36,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f22]) ).
fof(f37,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f23,f36]) ).
fof(f42,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f22]) ).
fof(f43,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f25,f42]) ).
fof(f44,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f22]) ).
fof(f45,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1))),inverse(identity)) = X2,
inference(paramodulation,[status(thm)],[f25,f22]) ).
fof(f87,plain,
! [X0] : multiply(multiply(identity,inverse(X0)),multiply(identity,X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f28,f24]) ).
fof(f144,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f9,f37]) ).
fof(f145,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f144]) ).
fof(f149,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,double_divide(X0,identity))),inverse(identity)) = double_divide(identity,inverse(X1)),
inference(paramodulation,[status(thm)],[f37,f22]) ).
fof(f150,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,inverse(X0))),inverse(identity)) = double_divide(identity,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f149]) ).
fof(f156,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,double_divide(identity,inverse(X1))),double_divide(double_divide(multiply(X1,X0),X2),inverse(inverse(identity)))),inverse(identity)) = X2,
inference(paramodulation,[status(thm)],[f37,f22]) ).
fof(f157,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,double_divide(identity,inverse(X1))),double_divide(double_divide(multiply(X1,X0),X2),multiply(identity,identity))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f25,f156]) ).
fof(f173,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f145,f23]) ).
fof(f174,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f28,f173]) ).
fof(f181,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,double_divide(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f37,f33]) ).
fof(f182,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,double_divide(inverse(X1),identity)),
inference(forward_demodulation,[status(thm)],[f37,f181]) ).
fof(f183,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f8,f182]) ).
fof(f184,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(identity,X1)),
inference(forward_demodulation,[status(thm)],[f25,f183]) ).
fof(f214,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f33,f22]) ).
fof(f231,plain,
! [X0] : multiply(multiply(identity,inverse(X0)),X0) = inverse(identity),
inference(backward_demodulation,[status(thm)],[f184,f87]) ).
fof(f340,plain,
! [X0] : multiply(inverse(identity),double_divide(X0,multiply(identity,inverse(X0)))) = inverse(identity),
inference(paramodulation,[status(thm)],[f231,f27]) ).
fof(f382,plain,
! [X0] : multiply(inverse(identity),multiply(identity,X0)) = multiply(identity,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f25,f174]) ).
fof(f383,plain,
! [X0] : multiply(inverse(identity),X0) = multiply(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f184,f382]) ).
fof(f384,plain,
! [X0] : multiply(inverse(identity),X0) = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f25,f383]) ).
fof(f385,plain,
! [X0] : multiply(inverse(identity),X0) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f184,f384]) ).
fof(f401,plain,
! [X0] : multiply(identity,double_divide(X0,multiply(identity,inverse(X0)))) = inverse(identity),
inference(backward_demodulation,[status(thm)],[f385,f340]) ).
fof(f402,plain,
! [X0] : inverse(multiply(multiply(identity,inverse(X0)),X0)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f29,f401]) ).
fof(f403,plain,
inverse(inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f231,f402]) ).
fof(f404,plain,
multiply(identity,identity) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f25,f403]) ).
fof(f434,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,double_divide(identity,inverse(X1))),double_divide(double_divide(multiply(X1,X0),X2),inverse(identity))),inverse(identity)) = X2,
inference(backward_demodulation,[status(thm)],[f404,f157]) ).
fof(f446,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f404,f31]) ).
fof(f447,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[status(thm)],[f145,f446]) ).
fof(f448,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f404,f447]) ).
fof(f502,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,double_divide(identity,inverse(X1))),double_divide(double_divide(multiply(X1,X0),X2),inverse(identity))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f448,f434]) ).
fof(f503,plain,
! [X0,X1,X2] : inverse(double_divide(double_divide(X0,double_divide(identity,inverse(X1))),double_divide(double_divide(multiply(X1,X0),X2),inverse(identity)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f502]) ).
fof(f504,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(multiply(X0,X1),X2),inverse(identity)),double_divide(X1,double_divide(identity,inverse(X0)))) = X2,
inference(forward_demodulation,[status(thm)],[f23,f503]) ).
fof(f505,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(multiply(X0,X1),X2),identity),double_divide(X1,double_divide(identity,inverse(X0)))) = X2,
inference(forward_demodulation,[status(thm)],[f448,f504]) ).
fof(f506,plain,
! [X0,X1,X2] : multiply(inverse(double_divide(multiply(X0,X1),X2)),double_divide(X1,double_divide(identity,inverse(X0)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f505]) ).
fof(f507,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,X2)),double_divide(X2,double_divide(identity,inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f23,f506]) ).
fof(f563,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f448,f214]) ).
fof(f564,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f563]) ).
fof(f565,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(identity)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f23,f564]) ).
fof(f566,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),identity),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f448,f565]) ).
fof(f567,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f566]) ).
fof(f568,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f23,f567]) ).
fof(f614,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,inverse(X0))),identity) = double_divide(identity,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f448,f150]) ).
fof(f615,plain,
! [X0,X1] : inverse(double_divide(X0,multiply(X1,inverse(X0)))) = double_divide(identity,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f614]) ).
fof(f616,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = double_divide(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f23,f615]) ).
fof(f629,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f448,f45]) ).
fof(f630,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f629]) ).
fof(f631,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1)),X0) = X2,
inference(forward_demodulation,[status(thm)],[f23,f630]) ).
fof(f632,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f448,f44]) ).
fof(f633,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f632]) ).
fof(f634,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),inverse(identity)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f23,f633]) ).
fof(f635,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),identity),X0) = X1,
inference(forward_demodulation,[status(thm)],[f448,f634]) ).
fof(f636,plain,
! [X0,X1] : multiply(inverse(double_divide(inverse(X0),X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f8,f635]) ).
fof(f637,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f23,f636]) ).
fof(f638,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f616,f637]) ).
fof(f639,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f448,f43]) ).
fof(f640,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f639]) ).
fof(f641,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),multiply(identity,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f23,f640]) ).
fof(f649,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,X2)),double_divide(X2,X1)) = X0,
inference(backward_demodulation,[status(thm)],[f638,f507]) ).
fof(f669,plain,
! [X0] : multiply(inverse(X0),identity) = inverse(X0),
inference(paramodulation,[status(thm)],[f638,f23]) ).
fof(f697,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(paramodulation,[status(thm)],[f448,f568]) ).
fof(f701,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(identity,X1)) = X0,
inference(paramodulation,[status(thm)],[f25,f568]) ).
fof(f702,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f184,f701]) ).
fof(f711,plain,
! [X0,X1] : multiply(multiply(X0,X1),identity) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f669]) ).
fof(f712,plain,
! [X0,X1] : multiply(multiply(X0,X1),identity) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f23,f711]) ).
fof(f717,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[status(thm)],[f712,f697]) ).
fof(f731,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(paramodulation,[status(thm)],[f717,f26]) ).
fof(f766,plain,
! [X0] : multiply(X0,double_divide(identity,X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f731,f23]) ).
fof(f767,plain,
! [X0] : multiply(X0,double_divide(identity,X0)) = identity,
inference(forward_demodulation,[status(thm)],[f448,f766]) ).
fof(f772,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(paramodulation,[status(thm)],[f638,f767]) ).
fof(f799,plain,
! [X0] : multiply(identity,inverse(double_divide(identity,X0))) = X0,
inference(paramodulation,[status(thm)],[f767,f568]) ).
fof(f800,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f23,f799]) ).
fof(f801,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f717,f800]) ).
fof(f805,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f801,f29]) ).
fof(f816,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f801,f641]) ).
fof(f817,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,inverse(X1)),X2),X1),X0) = X2,
inference(backward_demodulation,[status(thm)],[f801,f631]) ).
fof(f925,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f638,f816]) ).
fof(f934,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(double_divide(identity,X0),X1),
inference(paramodulation,[status(thm)],[f816,f568]) ).
fof(f948,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f772,f702]) ).
fof(f949,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f801,f948]) ).
fof(f964,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(paramodulation,[status(thm)],[f949,f638]) ).
fof(f970,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(backward_demodulation,[status(thm)],[f964,f934]) ).
fof(f1159,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(X0,inverse(X1))),X1),
inference(paramodulation,[status(thm)],[f925,f970]) ).
fof(f1160,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f23,f1159]) ).
fof(f1166,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f949,f970]) ).
fof(f1335,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f1160,f925]) ).
fof(f1336,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f805,f1335]) ).
fof(f1474,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)),X0) = X2,
inference(paramodulation,[status(thm)],[f949,f817]) ).
fof(f1509,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(paramodulation,[status(thm)],[f805,f1166]) ).
fof(f1558,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,double_divide(X1,X2)),X2),X1) = X0,
inference(backward_demodulation,[status(thm)],[f1509,f1474]) ).
fof(f1844,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f649,f1558]) ).
fof(f1940,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f1844,f19]) ).
fof(f1941,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f1940]) ).
fof(f1942,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1941]) ).
fof(f1966,plain,
( double_divide(a1,inverse(a1)) != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1336,f13]) ).
fof(f1967,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f1966]) ).
fof(f1968,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f1967]) ).
fof(f1969,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1968]) ).
fof(f1970,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f801,f16]) ).
fof(f1971,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1970]) ).
fof(f1972,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1971]) ).
fof(f1973,plain,
$false,
inference(sat_refutation,[status(thm)],[f20,f1942,f1969,f1972]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP076-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:55:52 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.39 % Elapsed time: 0.043333 seconds
% 0.19/0.39 % CPU time: 0.202594 seconds
% 0.19/0.39 % Memory used: 17.423 MB
%------------------------------------------------------------------------------