TSTP Solution File: GRP107-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP107-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:19:14 EDT 2024
% Result : Unsatisfiable 6.29s 1.18s
% Output : CNFRefutation 6.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 7
% Syntax : Number of formulae : 106 ( 85 unt; 0 def)
% Number of atoms : 133 ( 102 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 22 ~; 23 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 258 ( 258 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(double_divide(inverse(Z),Y))))) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f9,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f10,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f12,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f15,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f18,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f6,f7,f10,f13,f16]) ).
fof(f20,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,multiply(X1,inverse(X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f20]) ).
fof(f22,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1))) = X3,
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),multiply(multiply(X1,multiply(X2,X3)),X0)) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f5,f21]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f21,f5]) ).
fof(f26,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,multiply(X1,X2)),X3),double_divide(X3,X0)) = inverse(double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f5,f24]) ).
fof(f27,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,multiply(X1,X2)),X3),double_divide(X3,X0)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f5,f26]) ).
fof(f28,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(multiply(multiply(X0,inverse(X1)),X2),inverse(X3)),double_divide(X2,X0)),X1) = inverse(X3),
inference(paramodulation,[status(thm)],[f21,f24]) ).
fof(f29,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,inverse(X2))),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(X0,X1),multiply(multiply(multiply(multiply(X2,multiply(X1,X0)),X3),multiply(X4,X5)),double_divide(X3,X2))) = double_divide(X5,X4),
inference(paramodulation,[status(thm)],[f23,f23]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),multiply(X3,X4)),double_divide(X2,X1))) = double_divide(X4,X3),
inference(paramodulation,[status(thm)],[f21,f23]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(multiply(multiply(X0,multiply(X1,X2)),X3),inverse(X4)),double_divide(X3,X0)),double_divide(X2,X1)) = inverse(X4),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] : double_divide(double_divide(X0,X1),multiply(multiply(multiply(multiply(X2,multiply(X1,X0)),X3),inverse(X4)),double_divide(X3,X2))) = X4,
inference(paramodulation,[status(thm)],[f23,f21]) ).
fof(f49,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,multiply(X2,X3))),multiply(X2,X3)) = X0,
inference(paramodulation,[status(thm)],[f27,f21]) ).
fof(f226,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))),X0) = inverse(X3),
inference(paramodulation,[status(thm)],[f28,f28]) ).
fof(f227,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f21,f226]) ).
fof(f242,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1)))) = X3,
inference(paramodulation,[status(thm)],[f28,f22]) ).
fof(f243,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f21,f242]) ).
fof(f284,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f227,f21]) ).
fof(f320,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f5,f243]) ).
fof(f438,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(double_divide(double_divide(X0,X1),multiply(multiply(multiply(multiply(multiply(X2,inverse(inverse(X3))),X4),multiply(X1,X0)),double_divide(X4,X2)),multiply(X5,X6))),multiply(X5,X6)) = X3,
inference(paramodulation,[status(thm)],[f31,f49]) ).
fof(f457,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,inverse(X0)),multiply(X1,X2)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f284]) ).
fof(f737,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f320,f457]) ).
fof(f818,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,multiply(multiply(inverse(X1),X1),inverse(X2))),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f737,f29]) ).
fof(f828,plain,
! [X0,X1,X2] : multiply(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),inverse(X2)),X2) = inverse(X1),
inference(paramodulation,[status(thm)],[f737,f24]) ).
fof(f830,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),inverse(X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f737,f5]) ).
fof(f832,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X1) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f830,f828]) ).
fof(f839,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X1)),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f830,f818]) ).
fof(f849,plain,
! [X0,X1] : double_divide(double_divide(inverse(inverse(X0)),inverse(X1)),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f832,f320]) ).
fof(f850,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f839,f849]) ).
fof(f856,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,multiply(inverse(X1),inverse(multiply(X2,X3)))),multiply(inverse(X1),X0)) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f832,f23]) ).
fof(f873,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,multiply(inverse(X1),inverse(inverse(X2)))),multiply(inverse(X1),X0)) = X2,
inference(paramodulation,[status(thm)],[f832,f21]) ).
fof(f874,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,multiply(inverse(X1),X2)),multiply(inverse(X1),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f850,f873]) ).
fof(f934,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(double_divide(double_divide(X0,X1),multiply(multiply(multiply(multiply(multiply(X2,X3),X4),multiply(X1,X0)),double_divide(X4,X2)),multiply(X5,X6))),multiply(X5,X6)) = X3,
inference(backward_demodulation,[status(thm)],[f850,f438]) ).
fof(f963,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f874,f856]) ).
fof(f1007,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f850,f832]) ).
fof(f1008,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f850,f1007]) ).
fof(f1014,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),X2)) = inverse(X2),
inference(paramodulation,[status(thm)],[f850,f320]) ).
fof(f1020,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X0),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f850,f284]) ).
fof(f1024,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f850,f227]) ).
fof(f1025,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f850,f1024]) ).
fof(f1073,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f850,f1008]) ).
fof(f1081,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f850,f1025]) ).
fof(f1086,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X1)),X0),
inference(paramodulation,[status(thm)],[f1025,f1008]) ).
fof(f1087,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f850,f1086]) ).
fof(f1095,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f1087]) ).
fof(f1096,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1097,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f1087,f15]) ).
fof(f1098,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f1025,f1087]) ).
fof(f1099,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X0,inverse(X1))),
inference(paramodulation,[status(thm)],[f1008,f1087]) ).
fof(f1114,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(X0,X1),multiply(multiply(multiply(multiply(X2,multiply(X1,X0)),X3),multiply(X4,X5)),double_divide(X3,X2))) = double_divide(X4,X5),
inference(paramodulation,[status(thm)],[f1087,f30]) ).
fof(f1115,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f30,f1114]) ).
fof(f1151,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f1087,f1073]) ).
fof(f1152,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f1087,f1151]) ).
fof(f1172,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,multiply(X1,X2)),X3),double_divide(X2,X1)) = inverse(double_divide(X3,X0)),
inference(paramodulation,[status(thm)],[f1008,f35]) ).
fof(f1173,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(multiply(X2,multiply(X1,X0)),X3)) = inverse(double_divide(X3,X2)),
inference(forward_demodulation,[status(thm)],[f1087,f1172]) ).
fof(f1174,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(multiply(X2,multiply(X1,X0)),X3)) = multiply(X2,X3),
inference(forward_demodulation,[status(thm)],[f5,f1173]) ).
fof(f1491,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f1081,f1081]) ).
fof(f1492,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f963,f1491]) ).
fof(f1500,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),multiply(X2,double_divide(X2,X3))) = multiply(X3,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f1081,f36]) ).
fof(f1501,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(X2)) = multiply(X2,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1492,f1500]) ).
fof(f1592,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(backward_demodulation,[status(thm)],[f1501,f1020]) ).
fof(f1683,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(X1,X2),multiply(X0,multiply(X2,X1))),
inference(paramodulation,[status(thm)],[f5,f1099]) ).
fof(f1687,plain,
! [X0,X1,X2,X3,X4] : double_divide(double_divide(X0,X1),multiply(X2,double_divide(X3,X4))) = double_divide(inverse(multiply(multiply(X4,multiply(X1,X0)),X3)),X2),
inference(paramodulation,[status(thm)],[f1099,f30]) ).
fof(f1688,plain,
! [X0,X1,X2,X3,X4] : double_divide(double_divide(X0,X1),multiply(X2,double_divide(X3,X4))) = double_divide(double_divide(X3,multiply(X4,multiply(X1,X0))),X2),
inference(forward_demodulation,[status(thm)],[f963,f1687]) ).
fof(f1727,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),double_divide(double_divide(X2,X3),multiply(multiply(multiply(multiply(X4,X5),X6),multiply(X3,X2)),double_divide(X6,X4))))) = X5,
inference(backward_demodulation,[status(thm)],[f1688,f934]) ).
fof(f1728,plain,
! [X0,X1,X2,X3,X4] : inverse(double_divide(double_divide(X0,X1),multiply(multiply(multiply(multiply(X2,X3),X4),multiply(X1,X0)),double_divide(X4,X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f1014,f1727]) ).
fof(f1729,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(multiply(multiply(X0,X1),X2),multiply(X3,X4)),double_divide(X2,X0)),double_divide(X4,X3)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f1728]) ).
fof(f1730,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(multiply(multiply(multiply(X2,X3),X4),multiply(X1,X0)),double_divide(X4,X2))) = X3,
inference(forward_demodulation,[status(thm)],[f1087,f1729]) ).
fof(f1731,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f1174,f1730]) ).
fof(f1732,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(multiply(X1,X2),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f1087,f1731]) ).
fof(f2201,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f1592,f1098]) ).
fof(f2561,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(X1,X2),multiply(X0,multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f1115,f1683]) ).
fof(f2699,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),multiply(X3,X0)) = multiply(multiply(X2,X3),X1),
inference(paramodulation,[status(thm)],[f1732,f1732]) ).
fof(f2702,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),multiply(X3,X0)) = multiply(X3,multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f1683,f1732]) ).
fof(f2703,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f2699,f2702]) ).
fof(f4052,plain,
! [X0,X1,X2] : multiply(inverse(double_divide(X0,X1)),X2) = multiply(X2,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f2561,f1152]) ).
fof(f4053,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X2,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f5,f4052]) ).
fof(f4054,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2703,f4053]) ).
fof(f4060,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f1097,f4054]) ).
fof(f4061,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f4060]) ).
fof(f4062,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1087,f9]) ).
fof(f4063,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1087,f4062]) ).
fof(f4064,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f4063,f2201]) ).
fof(f4065,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f4064]) ).
fof(f4067,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1087,f12]) ).
fof(f4068,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f4054,f4067]) ).
fof(f4069,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1099,f4068]) ).
fof(f4070,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f4069]) ).
fof(f4071,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f4070]) ).
fof(f4072,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f1096,f4061,f4065,f4071]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GRP107-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n023.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue Apr 30 00:44:25 EDT 2024
% 0.10/0.34 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 6.29/1.18 % Refutation found
% 6.29/1.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.29/1.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.57/1.23 % Elapsed time: 0.873819 seconds
% 6.57/1.23 % CPU time: 6.774653 seconds
% 6.57/1.23 % Total memory used: 136.165 MB
% 6.57/1.23 % Net memory used: 128.593 MB
%------------------------------------------------------------------------------