TSTP Solution File: GRP072-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP072-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:19:09 EDT 2024
% Result : Unsatisfiable 45.43s 6.11s
% Output : CNFRefutation 46.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 6
% Syntax : Number of formulae : 99 ( 84 unt; 0 def)
% Number of atoms : 117 ( 95 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 336 ( 336 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : divide(divide(inverse(divide(X,Y)),divide(divide(Z,U),X)),divide(U,Z)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox/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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
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)) ),
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_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f6,f7,f10,f13]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),divide(X2,X1)) = divide(X5,X4),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(multiply(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = inverse(X1),
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(divide(X2,X3),X0)),divide(X3,X2)) = X1,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f31,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(multiply(inverse(X0),X1)),multiply(divide(X2,X3),X0)),divide(X3,X2)) = inverse(X1),
inference(paramodulation,[status(thm)],[f5,f18]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(divide(X0,X1),X2)),inverse(X3)),divide(divide(divide(X1,X0),X4),inverse(multiply(X4,X3)))) = X2,
inference(paramodulation,[status(thm)],[f18,f4]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(divide(X0,X1),X2)),X3),divide(divide(divide(X1,X0),X4),inverse(multiply(X4,X3)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f39]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(divide(X0,X1),X2)),X3),multiply(divide(divide(X1,X0),X4),multiply(X4,X3))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f40]) ).
fof(f50,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(multiply(X2,X3),X0)),divide(inverse(X3),X2)) = X1,
inference(paramodulation,[status(thm)],[f5,f21]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(divide(divide(X2,X3),divide(inverse(multiply(X4,X5)),divide(divide(X3,X2),X4))),X0)),inverse(X5)) = X1,
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(divide(inverse(divide(inverse(X0),X1)),multiply(divide(divide(X2,X3),divide(inverse(multiply(X4,X5)),divide(divide(X3,X2),X4))),X0)),X5) = X1,
inference(forward_demodulation,[status(thm)],[f5,f51]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(inverse(X0),inverse(X1)),divide(divide(divide(divide(divide(X2,X3),X4),inverse(divide(X4,X0))),X5),inverse(multiply(X5,X1)))) = divide(X3,X2),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(inverse(X0),X1),divide(divide(divide(divide(divide(X2,X3),X4),inverse(divide(X4,X0))),X5),inverse(multiply(X5,X1)))) = divide(X3,X2),
inference(forward_demodulation,[status(thm)],[f5,f65]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(inverse(X0),X1),multiply(divide(divide(divide(divide(X2,X3),X4),inverse(divide(X4,X0))),X5),multiply(X5,X1))) = divide(X3,X2),
inference(forward_demodulation,[status(thm)],[f5,f66]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(inverse(X0),X1),multiply(divide(multiply(divide(divide(X2,X3),X4),divide(X4,X0)),X5),multiply(X5,X1))) = divide(X3,X2),
inference(forward_demodulation,[status(thm)],[f5,f67]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),divide(inverse(X4),divide(divide(X5,X6),divide(inverse(divide(X7,X4)),divide(divide(X1,X0),X7)))))),divide(X3,X2)) = divide(X6,X5),
inference(paramodulation,[status(thm)],[f4,f17]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(divide(X3,X4),X0)),inverse(X5)))),divide(X2,X1)) = divide(divide(divide(X4,X3),X6),inverse(multiply(X6,X5))),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(divide(inverse(X0),divide(divide(X1,X2),multiply(inverse(divide(divide(X3,X4),X0)),X5))),divide(X2,X1)) = divide(divide(divide(X4,X3),X6),inverse(multiply(X6,X5))),
inference(forward_demodulation,[status(thm)],[f5,f88]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(divide(inverse(X0),divide(divide(X1,X2),multiply(inverse(divide(divide(X3,X4),X0)),X5))),divide(X2,X1)) = multiply(divide(divide(X4,X3),X6),multiply(X6,X5)),
inference(forward_demodulation,[status(thm)],[f5,f89]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),divide(X2,X1)) = divide(divide(X6,X7),divide(inverse(X8),divide(divide(X7,X6),divide(inverse(divide(X9,X8)),divide(divide(X5,X4),X9))))),
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,X1) = divide(divide(X2,X3),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X0,X1),X5))))),
inference(forward_demodulation,[status(thm)],[f17,f101]) ).
fof(f190,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(multiply(inverse(X0),X1)),multiply(multiply(X2,X3),X0)),divide(inverse(X3),X2)) = inverse(X1),
inference(paramodulation,[status(thm)],[f5,f31]) ).
fof(f316,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(multiply(inverse(X2),X3),X0)),multiply(inverse(X3),X2)) = X1,
inference(paramodulation,[status(thm)],[f5,f50]) ).
fof(f737,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(inverse(divide(divide(divide(divide(X0,X1),X2),inverse(divide(X2,X3))),X4)),X5),multiply(X3,multiply(divide(X1,X0),X5))) = X4,
inference(paramodulation,[status(thm)],[f4,f41]) ).
fof(f738,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(inverse(divide(multiply(divide(divide(X0,X1),X2),divide(X2,X3)),X4)),X5),multiply(X3,multiply(divide(X1,X0),X5))) = X4,
inference(forward_demodulation,[status(thm)],[f5,f737]) ).
fof(f789,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(multiply(inverse(X0),X1)),multiply(multiply(inverse(X2),X3),X0)),multiply(inverse(X3),X2)) = inverse(X1),
inference(paramodulation,[status(thm)],[f5,f190]) ).
fof(f9690,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : divide(multiply(inverse(X0),X1),multiply(divide(multiply(divide(divide(X2,X3),X4),divide(X4,X0)),X5),multiply(X5,X1))) = divide(multiply(divide(multiply(divide(divide(X3,X2),X6),divide(X6,X7)),X8),multiply(X8,X9)),multiply(inverse(X7),X9)),
inference(paramodulation,[status(thm)],[f68,f68]) ).
fof(f9691,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,X1) = divide(multiply(divide(multiply(divide(divide(X0,X1),X2),divide(X2,X3)),X4),multiply(X4,X5)),multiply(inverse(X3),X5)),
inference(forward_demodulation,[status(thm)],[f68,f9690]) ).
fof(f22335,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : divide(multiply(inverse(divide(multiply(divide(divide(X0,X1),X2),divide(X2,X3)),X4)),X5),multiply(X3,multiply(divide(X1,X0),X5))) = divide(multiply(divide(multiply(divide(X4,X6),divide(X6,X7)),X8),multiply(X8,X9)),multiply(inverse(X7),X9)),
inference(paramodulation,[status(thm)],[f738,f9691]) ).
fof(f22336,plain,
! [X0,X1,X2,X3,X4] : X0 = divide(multiply(divide(multiply(divide(X0,X1),divide(X1,X2)),X3),multiply(X3,X4)),multiply(inverse(X2),X4)),
inference(forward_demodulation,[status(thm)],[f738,f22335]) ).
fof(f23191,plain,
! [X0,X1,X2,X3,X4] : multiply(divide(divide(X0,X1),X2),multiply(X2,X3)) = multiply(divide(divide(X0,X1),X4),multiply(X4,X3)),
inference(paramodulation,[status(thm)],[f90,f90]) ).
fof(f25279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(divide(X0,X1),multiply(X1,X2)) = multiply(divide(divide(multiply(divide(multiply(divide(X0,X3),divide(X3,X4)),X5),multiply(X5,X6)),multiply(inverse(X4),X6)),X7),multiply(X7,X2)),
inference(paramodulation,[status(thm)],[f22336,f23191]) ).
fof(f25280,plain,
! [X0,X1,X2,X3] : multiply(divide(X0,X1),multiply(X1,X2)) = multiply(divide(X0,X3),multiply(X3,X2)),
inference(forward_demodulation,[status(thm)],[f22336,f25279]) ).
fof(f25948,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(divide(X0,X3),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f5,f25280]) ).
fof(f34650,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),divide(X2,X3)) = divide(X3,X2),
inference(paramodulation,[status(thm)],[f102,f85]) ).
fof(f43060,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),divide(X2,X3)) = divide(divide(X3,X2),divide(inverse(divide(X4,X5)),divide(X5,X4))),
inference(paramodulation,[status(thm)],[f34650,f34650]) ).
fof(f43061,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = divide(divide(X0,X1),divide(inverse(divide(X2,X3)),divide(X3,X2))),
inference(forward_demodulation,[status(thm)],[f34650,f43060]) ).
fof(f43713,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(multiply(divide(multiply(divide(X0,X1),divide(X1,X2)),X3),multiply(X3,X4)),multiply(inverse(X2),X4)) = divide(X0,divide(inverse(divide(X5,X6)),divide(X6,X5))),
inference(paramodulation,[status(thm)],[f22336,f43061]) ).
fof(f43714,plain,
! [X0,X1,X2] : X0 = divide(X0,divide(inverse(divide(X1,X2)),divide(X2,X1))),
inference(forward_demodulation,[status(thm)],[f22336,f43713]) ).
fof(f44778,plain,
! [X0,X1,X2] : X0 = divide(X0,inverse(divide(divide(X1,X2),inverse(divide(X2,X1))))),
inference(paramodulation,[status(thm)],[f43714,f43714]) ).
fof(f44779,plain,
! [X0,X1,X2] : X0 = multiply(X0,divide(divide(X1,X2),inverse(divide(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f5,f44778]) ).
fof(f44780,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(divide(X1,X2),divide(X2,X1))),
inference(forward_demodulation,[status(thm)],[f5,f44779]) ).
fof(f45756,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(multiply(X1,X2),divide(inverse(X2),X1))),
inference(paramodulation,[status(thm)],[f5,f44780]) ).
fof(f45862,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(divide(inverse(X1),X2),multiply(X2,X1))),
inference(paramodulation,[status(thm)],[f5,f44780]) ).
fof(f45898,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),inverse(X1)) = multiply(divide(X0,X2),multiply(X2,multiply(divide(X3,X4),divide(X4,X3)))),
inference(paramodulation,[status(thm)],[f44780,f25948]) ).
fof(f45899,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(X1)) = multiply(divide(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f44780,f45898]) ).
fof(f46039,plain,
! [X0,X1,X2,X3,X4] : multiply(divide(X0,X1),multiply(X1,multiply(divide(X2,X3),divide(X3,X2)))) = multiply(divide(X0,X4),X4),
inference(paramodulation,[status(thm)],[f44780,f25280]) ).
fof(f46040,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X1) = multiply(divide(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f44780,f46039]) ).
fof(f48259,plain,
! [X0,X1,X2] : X0 = multiply(X0,divide(inverse(divide(X1,X2)),divide(X2,X1))),
inference(paramodulation,[status(thm)],[f44780,f45862]) ).
fof(f48884,plain,
! [X0,X1,X2,X3] : divide(X0,divide(inverse(divide(X1,X2)),divide(X2,X1))) = multiply(multiply(X0,X3),inverse(X3)),
inference(paramodulation,[status(thm)],[f45899,f48259]) ).
fof(f48885,plain,
! [X0,X1] : X0 = multiply(multiply(X0,X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f43714,f48884]) ).
fof(f48886,plain,
! [X0,X1,X2,X3] : divide(X0,divide(inverse(divide(X1,X2)),divide(X2,X1))) = multiply(divide(X0,X3),X3),
inference(paramodulation,[status(thm)],[f46040,f48259]) ).
fof(f48887,plain,
! [X0,X1] : X0 = multiply(divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f43714,f48886]) ).
fof(f49443,plain,
! [X0,X1,X2] : X0 = divide(X0,multiply(divide(X1,X2),divide(X2,X1))),
inference(paramodulation,[status(thm)],[f44780,f48887]) ).
fof(f49674,plain,
! [X0,X1] : divide(X0,X1) = multiply(X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f48887,f48885]) ).
fof(f51659,plain,
! [X0,X1] : X0 = divide(multiply(X0,X1),X1),
inference(backward_demodulation,[status(thm)],[f49674,f48885]) ).
fof(f51739,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(multiply(inverse(X2),X3),X0)),multiply(inverse(X3),X2)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f49674,f789]) ).
fof(f51740,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f316,f51739]) ).
fof(f61167,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(divide(inverse(divide(divide(inverse(multiply(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2))),X4)),X1) = X4,
inference(paramodulation,[status(thm)],[f49443,f52]) ).
fof(f61168,plain,
! [X0,X1] : multiply(inverse(divide(inverse(inverse(X0)),X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f18,f61167]) ).
fof(f61169,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f51740,f61168]) ).
fof(f61805,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f51659,f61169]) ).
fof(f62130,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f51740,f61805]) ).
fof(f62216,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f61805,f51659]) ).
fof(f63323,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(inverse(X1),multiply(multiply(X1,inverse(X2)),X2))),
inference(paramodulation,[status(thm)],[f62216,f45862]) ).
fof(f63324,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(inverse(X1),multiply(divide(X1,X2),X2))),
inference(forward_demodulation,[status(thm)],[f49674,f63323]) ).
fof(f63325,plain,
! [X0,X1] : X0 = multiply(X0,multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f48887,f63324]) ).
fof(f63326,plain,
! [X0,X1,X2] : X0 = multiply(X0,multiply(multiply(multiply(X1,inverse(X2)),X2),inverse(X1))),
inference(paramodulation,[status(thm)],[f62216,f45756]) ).
fof(f63327,plain,
! [X0,X1,X2] : X0 = multiply(X0,divide(multiply(multiply(X1,inverse(X2)),X2),X1)),
inference(forward_demodulation,[status(thm)],[f49674,f63326]) ).
fof(f63328,plain,
! [X0,X1,X2] : X0 = multiply(X0,divide(multiply(divide(X1,X2),X2),X1)),
inference(forward_demodulation,[status(thm)],[f49674,f63327]) ).
fof(f63329,plain,
! [X0,X1] : X0 = multiply(X0,divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f48887,f63328]) ).
fof(f63542,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f63329,f62130]) ).
fof(f63543,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(forward_demodulation,[status(thm)],[f49674,f63542]) ).
fof(f64075,plain,
! [X0,X1] : X0 = multiply(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f63543,f48887]) ).
fof(f64289,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(divide(X0,X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f25280,f64075]) ).
fof(f65525,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f63325,f61805]) ).
fof(f76984,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f51659,f64289]) ).
fof(f99979,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f76984,f15]) ).
fof(f99980,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f99979]) ).
fof(f99981,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f99980]) ).
fof(f100051,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f9,f65525]) ).
fof(f100052,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f100051]) ).
fof(f100053,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f76984,f12]) ).
fof(f100054,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f61805,f100053]) ).
fof(f100055,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f100054]) ).
fof(f100056,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f100055]) ).
fof(f100057,plain,
$false,
inference(sat_refutation,[status(thm)],[f16,f99981,f100052,f100056]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP072-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 00:18:41 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 45.43/6.11 % Refutation found
% 45.43/6.11 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 45.43/6.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 47.13/6.31 % Elapsed time: 5.954841 seconds
% 47.13/6.31 % CPU time: 46.774087 seconds
% 47.13/6.31 % Total memory used: 1.061 GB
% 47.13/6.31 % Net memory used: 1.057 GB
%------------------------------------------------------------------------------