TSTP Solution File: GRP100-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:19:13 EDT 2024
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 9
% Syntax : Number of formulae : 124 ( 105 unt; 0 def)
% Number of atoms : 149 ( 120 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 : 7 ( 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 : 199 ( 199 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = Y,
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(X1,double_divide(X0,X2)),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(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(X1,double_divide(X0,X2)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f25,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity)) = X1,
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(f27,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f26]) ).
fof(f28,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),inverse(inverse(identity)))),inverse(identity)) = X3,
inference(paramodulation,[status(thm)],[f25,f25]) ).
fof(f29,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),multiply(identity,identity))),inverse(identity)) = X3,
inference(forward_demodulation,[status(thm)],[f27,f28]) ).
fof(f30,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f25]) ).
fof(f31,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,double_divide(X2,X3))),multiply(X3,X2))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f26,f25]) ).
fof(f33,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))),
inference(paramodulation,[status(thm)],[f30,f30]) ).
fof(f34,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(X1,X2)),inverse(X2))),
inference(paramodulation,[status(thm)],[f25,f30]) ).
fof(f41,plain,
! [X0,X1] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)),double_divide(double_divide(X1,X0),multiply(identity,identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f34,f29]) ).
fof(f42,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f26,f9]) ).
fof(f43,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,inverse(identity))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f30]) ).
fof(f44,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f9,f43]) ).
fof(f45,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f44]) ).
fof(f47,plain,
! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f26,f45]) ).
fof(f48,plain,
! [X0] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = inverse(X0),
inference(paramodulation,[status(thm)],[f45,f30]) ).
fof(f49,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = inverse(X0),
inference(paramodulation,[status(thm)],[f45,f26]) ).
fof(f50,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),multiply(identity,identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f48,f41]) ).
fof(f55,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))),
inference(backward_demodulation,[status(thm)],[f48,f33]) ).
fof(f66,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f8,f42]) ).
fof(f85,plain,
! [X0] : inverse(inverse(X0)) = double_divide(identity,double_divide(X0,inverse(identity))),
inference(paramodulation,[status(thm)],[f45,f55]) ).
fof(f86,plain,
! [X0] : multiply(identity,X0) = double_divide(identity,double_divide(X0,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f27,f85]) ).
fof(f91,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),inverse(identity)),X1) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f55,f26]) ).
fof(f92,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),inverse(identity)),X1) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f27,f91]) ).
fof(f101,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,X0),
inference(paramodulation,[status(thm)],[f45,f86]) ).
fof(f102,plain,
multiply(identity,identity) = double_divide(identity,identity),
inference(paramodulation,[status(thm)],[f9,f86]) ).
fof(f103,plain,
multiply(identity,identity) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f102]) ).
fof(f108,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),inverse(identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f103,f50]) ).
fof(f112,plain,
double_divide(inverse(identity),inverse(identity)) = double_divide(identity,identity),
inference(paramodulation,[status(thm)],[f103,f47]) ).
fof(f113,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f45,f112]) ).
fof(f114,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f113]) ).
fof(f126,plain,
! [X0,X1] : double_divide(multiply(X0,X1),identity) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f114,f47]) ).
fof(f127,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f8,f126]) ).
fof(f128,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f114,f49]) ).
fof(f129,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f101,f128]) ).
fof(f132,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[status(thm)],[f114,f45]) ).
fof(f133,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f132]) ).
fof(f134,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f27,f133]) ).
fof(f135,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),inverse(identity))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f114,f108]) ).
fof(f136,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(double_divide(X1,X0),inverse(identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f135]) ).
fof(f137,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(identity)),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f26,f136]) ).
fof(f138,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),identity),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f114,f137]) ).
fof(f139,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f138]) ).
fof(f140,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f26,f139]) ).
fof(f147,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),identity),X1) = multiply(identity,X0),
inference(backward_demodulation,[status(thm)],[f114,f92]) ).
fof(f148,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,inverse(X1))),X1) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f147]) ).
fof(f149,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = multiply(identity,X1),
inference(forward_demodulation,[status(thm)],[f26,f148]) ).
fof(f150,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f134,f149]) ).
fof(f156,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,double_divide(X2,X3))),multiply(X3,X2))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f114,f31]) ).
fof(f157,plain,
! [X0,X1,X2,X3] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,double_divide(X2,X3))),multiply(X3,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f156]) ).
fof(f158,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,double_divide(X1,double_divide(X2,X3))),multiply(X3,X2)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f26,f157]) ).
fof(f169,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f134,f66]) ).
fof(f174,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f140,f140]) ).
fof(f175,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f127,f174]) ).
fof(f176,plain,
! [X0] : multiply(multiply(identity,X0),identity) = X0,
inference(paramodulation,[status(thm)],[f114,f140]) ).
fof(f177,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f134,f176]) ).
fof(f178,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(X0,X1),X2),multiply(X1,X0)) = X2,
inference(paramodulation,[status(thm)],[f26,f140]) ).
fof(f184,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,inverse(X2))),multiply(identity,X2)),X1) = X0,
inference(paramodulation,[status(thm)],[f8,f158]) ).
fof(f185,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,inverse(X2))),X2),X1) = X0,
inference(forward_demodulation,[status(thm)],[f134,f184]) ).
fof(f205,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f177,f140]) ).
fof(f221,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f129,f26]) ).
fof(f222,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f177,f221]) ).
fof(f252,plain,
! [X0,X1] : multiply(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(paramodulation,[status(thm)],[f26,f205]) ).
fof(f332,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f175,f150]) ).
fof(f334,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f175,f127]) ).
fof(f335,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f222,f334]) ).
fof(f353,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f335,f335]) ).
fof(f357,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,multiply(X1,X2)),X3) = double_divide(double_divide(X3,double_divide(X2,X1)),X0),
inference(paramodulation,[status(thm)],[f335,f158]) ).
fof(f363,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f335,f175]) ).
fof(f570,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),X1) = X0,
inference(paramodulation,[status(thm)],[f177,f185]) ).
fof(f571,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(inverse(X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f129,f570]) ).
fof(f572,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f222,f571]) ).
fof(f589,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f353,f185]) ).
fof(f752,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f335,f572]) ).
fof(f758,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(X0,double_divide(X2,inverse(X1))),
inference(paramodulation,[status(thm)],[f572,f185]) ).
fof(f766,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f572,f363]) ).
fof(f767,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f26,f766]) ).
fof(f780,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f767]) ).
fof(f781,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f780]) ).
fof(f785,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f767,f19]) ).
fof(f807,plain,
! [X0,X1] : multiply(double_divide(X0,X1),multiply(X0,X1)) = identity,
inference(paramodulation,[status(thm)],[f752,f252]) ).
fof(f1280,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f767,f332]) ).
fof(f1283,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f222,f332]) ).
fof(f1434,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(multiply(X0,X1),double_divide(X0,X1)),X2),identity) = X2,
inference(paramodulation,[status(thm)],[f807,f178]) ).
fof(f1435,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),double_divide(X0,X1)),X2) = X2,
inference(forward_demodulation,[status(thm)],[f177,f1434]) ).
fof(f1436,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,X1),multiply(X0,X1)),X2) = X2,
inference(forward_demodulation,[status(thm)],[f752,f1435]) ).
fof(f1437,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f357,f1436]) ).
fof(f1438,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),double_divide(X2,double_divide(X1,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f752,f1437]) ).
fof(f1738,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(X2,double_divide(inverse(X0),inverse(X1)))) = X2,
inference(paramodulation,[status(thm)],[f1283,f1438]) ).
fof(f1739,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(double_divide(X2,X1),inverse(X0))) = X2,
inference(forward_demodulation,[status(thm)],[f758,f1738]) ).
fof(f1740,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(double_divide(X2,X1)),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f1280,f1739]) ).
fof(f1741,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(multiply(X1,X2),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f26,f1740]) ).
fof(f2023,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(multiply(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f1741,f589]) ).
fof(f2024,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f26,f2023]) ).
fof(f2053,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f785,f2024]) ).
fof(f2054,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f2053]) ).
fof(f2130,plain,
( double_divide(inverse(a1),a1) != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f332,f13]) ).
fof(f2131,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f169,f2130]) ).
fof(f2132,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f2131]) ).
fof(f2133,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f2132]) ).
fof(f2139,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f134,f16]) ).
fof(f2140,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f2139]) ).
fof(f2141,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f2140]) ).
fof(f2142,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f781,f2054,f2133,f2141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 Apr 30 00:28:11 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.51 % Refutation found
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.52 % Elapsed time: 0.174699 seconds
% 0.20/0.52 % CPU time: 1.313924 seconds
% 0.20/0.52 % Total memory used: 60.425 MB
% 0.20/0.52 % Net memory used: 58.857 MB
%------------------------------------------------------------------------------