TSTP Solution File: GRP502-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP502-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:20:49 EDT 2024
% Result : Unsatisfiable 16.37s 2.50s
% Output : CNFRefutation 17.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 3
% Syntax : Number of formulae : 100 ( 100 unt; 0 def)
% Number of atoms : 100 ( 99 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 380 ( 380 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = 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),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),multiply(double_divide(X0,X3),X3))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(X1,multiply(X0,X2)),double_divide(inverse(X2),multiply(double_divide(X1,X3),X3))),
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4] : X0 = double_divide(double_divide(X1,multiply(X0,double_divide(X2,X3))),double_divide(multiply(X3,X2),multiply(double_divide(X1,X4),X4))),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = double_divide(double_divide(double_divide(X1,multiply(X2,X3)),inverse(double_divide(X4,X0))),double_divide(inverse(X4),multiply(X2,double_divide(inverse(X3),multiply(double_divide(X1,X5),X5))))),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f24,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)),double_divide(X1,multiply(X3,X0))) = inverse(X3),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = double_divide(double_divide(double_divide(X1,multiply(X2,X3)),multiply(X0,X4)),double_divide(inverse(X4),multiply(X2,double_divide(inverse(X3),multiply(double_divide(X1,X5),X5))))),
inference(forward_demodulation,[status(thm)],[f5,f22]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)) = double_divide(double_divide(X3,inverse(X4)),double_divide(multiply(multiply(X4,X0),X1),multiply(double_divide(X3,X5),X5))),
inference(paramodulation,[status(thm)],[f24,f19]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(X4,double_divide(X1,X0)))) = inverse(X4),
inference(paramodulation,[status(thm)],[f19,f5]) ).
fof(f61,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(double_divide(inverse(X0),multiply(double_divide(X1,X2),X2))) = multiply(double_divide(multiply(multiply(X3,X0),X1),multiply(double_divide(X4,X5),X5)),double_divide(X4,inverse(X3))),
inference(paramodulation,[status(thm)],[f24,f49]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(double_divide(X0,X1),X1),inverse(X2)) = multiply(double_divide(multiply(multiply(X3,X2),X0),multiply(double_divide(X4,X5),X5)),double_divide(X4,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f5,f61]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = double_divide(double_divide(double_divide(X1,multiply(double_divide(inverse(X2),multiply(double_divide(inverse(X3),X4),X4)),X3)),multiply(X0,X5)),double_divide(inverse(X5),inverse(double_divide(X1,X2)))),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = double_divide(double_divide(double_divide(X1,multiply(double_divide(inverse(X2),multiply(double_divide(inverse(X3),X4),X4)),X3)),multiply(X0,X5)),double_divide(inverse(X5),multiply(X2,X1))),
inference(forward_demodulation,[status(thm)],[f5,f82]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(multiply(X0,X1),X2),multiply(double_divide(X3,X4),X4)),double_divide(X3,inverse(X0))) = multiply(multiply(double_divide(X2,a1),a1),inverse(X1)),
inference(equality_split,[status(esa)],[f71]) ).
fof(f109,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(X0,X1),X1),inverse(X2)) = multiply(multiply(double_divide(X0,a1),a1),inverse(X2)),
inference(equality_split,[status(esa)],[f71]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(X0,X1),X1) = double_divide(double_divide(double_divide(X2,multiply(double_divide(inverse(X3),multiply(double_divide(inverse(X4),X5),X5)),X4)),multiply(multiply(double_divide(X0,a1),a1),inverse(X6))),double_divide(inverse(inverse(X6)),multiply(X3,X2))),
inference(paramodulation,[status(thm)],[f109,f102]) ).
fof(f166,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,a1),a1),
inference(forward_demodulation,[status(thm)],[f102,f145]) ).
fof(f182,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),a1),a1) = multiply(X2,double_divide(inverse(X1),multiply(double_divide(X0,X3),X3))),
inference(paramodulation,[status(thm)],[f7,f166]) ).
fof(f202,plain,
! [X0,X1,X2,X3] : inverse(double_divide(X0,X1)) = multiply(double_divide(inverse(X1),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(double_divide(X0,a1),a1))),
inference(paramodulation,[status(thm)],[f166,f24]) ).
fof(f203,plain,
! [X0,X1,X2,X3] : double_divide(X0,X1) = double_divide(double_divide(X2,multiply(double_divide(X0,a1),a1)),double_divide(inverse(X1),multiply(double_divide(X2,X3),X3))),
inference(paramodulation,[status(thm)],[f166,f8]) ).
fof(f238,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,multiply(X1,X2)),a1),a1) = multiply(X1,double_divide(inverse(X2),multiply(double_divide(X0,X3),X3))),
inference(forward_demodulation,[status(thm)],[f5,f182]) ).
fof(f242,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = multiply(double_divide(inverse(X0),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(double_divide(X1,a1),a1))),
inference(forward_demodulation,[status(thm)],[f5,f202]) ).
fof(f255,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,X1) = multiply(double_divide(inverse(X0),multiply(double_divide(X2,X3),X3)),double_divide(X2,multiply(double_divide(X1,X4),X4))),
inference(paramodulation,[status(thm)],[f166,f242]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(X0,X1),X2) = multiply(double_divide(multiply(X1,X0),multiply(double_divide(X3,X4),X4)),double_divide(X3,multiply(double_divide(X2,X5),X5))),
inference(paramodulation,[status(thm)],[f5,f255]) ).
fof(f318,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,X1) = double_divide(double_divide(X2,multiply(double_divide(X0,X3),X3)),double_divide(inverse(X1),multiply(double_divide(X2,X4),X4))),
inference(paramodulation,[status(thm)],[f166,f203]) ).
fof(f459,plain,
! [X0,X1,X2,X3,X4] : double_divide(double_divide(X0,inverse(X1)),double_divide(multiply(multiply(X1,X2),X3),multiply(double_divide(X0,X4),X4))) = double_divide(inverse(X2),multiply(double_divide(X3,a1),a1)),
inference(equality_split,[status(esa)],[f37]) ).
fof(f460,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(double_divide(X1,X2),X2)) = double_divide(inverse(X0),multiply(double_divide(X1,a1),a1)),
inference(equality_split,[status(esa)],[f37]) ).
fof(f494,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : X0 = double_divide(double_divide(X1,multiply(X0,double_divide(inverse(X2),multiply(double_divide(X3,a1),a1)))),double_divide(multiply(double_divide(multiply(multiply(X4,X2),X3),multiply(double_divide(X5,X6),X6)),double_divide(X5,inverse(X4))),multiply(double_divide(X1,X7),X7))),
inference(paramodulation,[status(thm)],[f459,f19]) ).
fof(f534,plain,
! [X0,X1,X3,X2,X4,X5,X6,X7] : X0 = double_divide(double_divide(X1,multiply(double_divide(double_divide(X3,multiply(X0,X2)),a1),a1)),double_divide(multiply(double_divide(multiply(multiply(X4,X2),X3),multiply(double_divide(X5,X6),X6)),double_divide(X5,inverse(X4))),multiply(double_divide(X1,X7),X7))),
inference(forward_demodulation,[status(thm)],[f238,f494]) ).
fof(f535,plain,
! [X0,X1,X2,X3,X4] : X0 = double_divide(double_divide(X1,multiply(double_divide(double_divide(X2,multiply(X0,X3)),a1),a1)),double_divide(multiply(multiply(double_divide(X2,a1),a1),inverse(X3)),multiply(double_divide(X1,X4),X4))),
inference(forward_demodulation,[status(thm)],[f108,f534]) ).
fof(f996,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(X0,double_divide(X1,X0)),X2) = multiply(double_divide(multiply(double_divide(X1,a1),a1),multiply(double_divide(X3,X4),X4)),double_divide(X3,multiply(double_divide(X2,X5),X5))),
inference(paramodulation,[status(thm)],[f166,f280]) ).
fof(f1052,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X1,X0)),X2) = multiply(double_divide(a1,double_divide(X1,a1)),X2),
inference(forward_demodulation,[status(thm)],[f280,f996]) ).
fof(f1181,plain,
! [X0,X1,X2,X3,X4] : double_divide(a1,double_divide(X0,a1)) = double_divide(double_divide(X1,multiply(double_divide(X2,double_divide(X0,X2)),X3)),double_divide(inverse(X3),multiply(double_divide(X1,X4),X4))),
inference(paramodulation,[status(thm)],[f1052,f8]) ).
fof(f1251,plain,
! [X0,X1] : double_divide(a1,double_divide(X0,a1)) = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f8,f1181]) ).
fof(f1255,plain,
! [X0,X1,X2] : double_divide(a1,double_divide(inverse(X0),a1)) = double_divide(multiply(double_divide(X1,X2),X2),double_divide(inverse(X0),multiply(double_divide(X1,a1),a1))),
inference(paramodulation,[status(thm)],[f460,f1251]) ).
fof(f1264,plain,
! [X0,X1] : double_divide(a1,double_divide(X0,a1)) = double_divide(double_divide(X1,X0),double_divide(a1,double_divide(X1,a1))),
inference(paramodulation,[status(thm)],[f1251,f1251]) ).
fof(f1484,plain,
! [X0,X1,X2] : double_divide(a1,double_divide(X0,a1)) = double_divide(double_divide(X1,X0),double_divide(X2,double_divide(X1,X2))),
inference(paramodulation,[status(thm)],[f1251,f1264]) ).
fof(f1616,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(X1,X0)) = double_divide(double_divide(X2,inverse(double_divide(a1,double_divide(X3,a1)))),double_divide(inverse(double_divide(X1,X3)),multiply(double_divide(X2,X4),X4))),
inference(paramodulation,[status(thm)],[f1484,f7]) ).
fof(f1617,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X1,X0)),double_divide(X1,X2)) = inverse(double_divide(a1,double_divide(X2,a1))),
inference(paramodulation,[status(thm)],[f1484,f5]) ).
fof(f1663,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(X1,X0)) = double_divide(double_divide(X2,multiply(double_divide(X3,a1),a1)),double_divide(inverse(double_divide(X1,X3)),multiply(double_divide(X2,X4),X4))),
inference(forward_demodulation,[status(thm)],[f5,f1616]) ).
fof(f1664,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f318,f1663]) ).
fof(f1669,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X1,X0)),double_divide(X1,X2)) = multiply(double_divide(X2,a1),a1),
inference(forward_demodulation,[status(thm)],[f5,f1617]) ).
fof(f1671,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(a1,double_divide(X1,a1)),
inference(equality_split,[status(esa)],[f1664]) ).
fof(f1735,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(double_divide(X0,X1)),multiply(double_divide(X2,a1),a1)) = double_divide(double_divide(X3,inverse(double_divide(X4,double_divide(X0,X4)))),double_divide(multiply(multiply(double_divide(X1,a1),a1),X2),multiply(double_divide(X3,X5),X5))),
inference(paramodulation,[status(thm)],[f1669,f459]) ).
fof(f1741,plain,
! [X0,X1,X2,X3,X4] : inverse(double_divide(X0,double_divide(X1,X0))) = multiply(double_divide(inverse(double_divide(X1,X2)),multiply(double_divide(X3,X4),X4)),double_divide(X3,multiply(double_divide(X2,a1),a1))),
inference(paramodulation,[status(thm)],[f1669,f24]) ).
fof(f1790,plain,
! [X1,X0,X2,X3,X4,X5] : double_divide(multiply(X1,X0),multiply(double_divide(X2,a1),a1)) = double_divide(double_divide(X3,inverse(double_divide(X4,double_divide(X0,X4)))),double_divide(multiply(multiply(double_divide(X1,a1),a1),X2),multiply(double_divide(X3,X5),X5))),
inference(forward_demodulation,[status(thm)],[f5,f1735]) ).
fof(f1791,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,double_divide(X1,multiply(X0,X2))),multiply(double_divide(inverse(X2),a1),a1)),
inference(backward_demodulation,[status(thm)],[f1792,f535]) ).
fof(f1792,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,X1),multiply(double_divide(X2,a1),a1)) = double_divide(double_divide(X3,multiply(double_divide(X1,X4),X4)),double_divide(multiply(multiply(double_divide(X0,a1),a1),X2),multiply(double_divide(X3,X5),X5))),
inference(forward_demodulation,[status(thm)],[f5,f1790]) ).
fof(f1856,plain,
! [X1,X0,X2,X3,X4] : multiply(double_divide(X1,X0),X0) = multiply(double_divide(inverse(double_divide(X1,X2)),multiply(double_divide(X3,X4),X4)),double_divide(X3,multiply(double_divide(X2,a1),a1))),
inference(forward_demodulation,[status(thm)],[f5,f1741]) ).
fof(f1857,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f255,f1856]) ).
fof(f1935,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,a1),a1),
inference(equality_split,[status(esa)],[f1857]) ).
fof(f1953,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(inverse(X1),multiply(X0,double_divide(double_divide(X2,multiply(X3,X1)),X2))),X3),
inference(paramodulation,[status(thm)],[f1791,f19]) ).
fof(f1985,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(inverse(X0),a1),a1),multiply(X1,double_divide(X1,multiply(X2,X0)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f1791,f5]) ).
fof(f2097,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(inverse(double_divide(double_divide(X1,multiply(inverse(X2),X2)),X1)),multiply(X0,X3)),X3),
inference(paramodulation,[status(thm)],[f1953,f1953]) ).
fof(f2126,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = double_divide(X1,double_divide(inverse(X2),multiply(double_divide(double_divide(inverse(X3),multiply(X1,double_divide(double_divide(X4,multiply(inverse(double_divide(X2,X0)),X3)),X4))),X5),X5))),
inference(paramodulation,[status(thm)],[f1953,f7]) ).
fof(f2128,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),a1),a1) = multiply(X1,X3),
inference(paramodulation,[status(thm)],[f1953,f1935]) ).
fof(f2145,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),X4) = double_divide(double_divide(X5,multiply(X1,X3)),double_divide(inverse(X4),multiply(double_divide(X5,X6),X6))),
inference(paramodulation,[status(thm)],[f1953,f318]) ).
fof(f2176,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(multiply(X1,double_divide(X1,multiply(inverse(X2),X2))),multiply(X0,X3)),X3),
inference(forward_demodulation,[status(thm)],[f5,f2097]) ).
fof(f2209,plain,
! [X0,X1,X2,X3,X4] : X0 = double_divide(X1,double_divide(inverse(X2),multiply(double_divide(double_divide(inverse(X3),multiply(X1,double_divide(double_divide(X4,multiply(inverse(double_divide(X2,X0)),X3)),X4))),a1),a1))),
inference(forward_demodulation,[status(thm)],[f460,f2126]) ).
fof(f2210,plain,
! [X0,X1,X2,X3,X4] : X0 = double_divide(X1,double_divide(inverse(X2),multiply(double_divide(double_divide(inverse(X3),multiply(X1,double_divide(double_divide(X4,multiply(multiply(X0,X2),X3)),X4))),a1),a1))),
inference(forward_demodulation,[status(thm)],[f5,f2209]) ).
fof(f2217,plain,
! [X0,X1,X2] : X0 = double_divide(X1,double_divide(inverse(X2),multiply(X1,multiply(X0,X2)))),
inference(backward_demodulation,[status(thm)],[f2128,f2210]) ).
fof(f2225,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),X4) = double_divide(double_divide(X5,multiply(X1,X3)),double_divide(inverse(X4),multiply(double_divide(X5,a1),a1))),
inference(forward_demodulation,[status(thm)],[f460,f2145]) ).
fof(f4045,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(X0,X1) = double_divide(X2,double_divide(inverse(X1),multiply(double_divide(double_divide(multiply(X3,double_divide(X3,multiply(inverse(X4),X4))),multiply(X2,multiply(double_divide(X0,X5),X5))),X6),X6))),
inference(paramodulation,[status(thm)],[f2176,f318]) ).
fof(f4070,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(multiply(X0,double_divide(X0,multiply(inverse(X1),X1))),multiply(X2,X3)),a1),a1) = multiply(X2,X3),
inference(paramodulation,[status(thm)],[f2176,f1935]) ).
fof(f4125,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(X0,X1) = double_divide(X2,double_divide(inverse(X1),multiply(double_divide(double_divide(multiply(X3,double_divide(X3,multiply(inverse(X4),X4))),multiply(X2,multiply(double_divide(X0,X5),X5))),a1),a1))),
inference(forward_demodulation,[status(thm)],[f460,f4045]) ).
fof(f4126,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,X1) = double_divide(X2,double_divide(inverse(X1),multiply(double_divide(double_divide(multiply(X3,double_divide(X3,multiply(inverse(X4),X4))),multiply(X2,multiply(double_divide(X0,a1),a1))),a1),a1))),
inference(forward_demodulation,[status(thm)],[f1935,f4125]) ).
fof(f4149,plain,
! [X0,X1,X2] : double_divide(X0,X1) = double_divide(X2,double_divide(inverse(X1),multiply(X2,multiply(double_divide(X0,a1),a1)))),
inference(backward_demodulation,[status(thm)],[f4070,f4126]) ).
fof(f5489,plain,
! [X0,X1,X2,X3,X4] : double_divide(inverse(X0),multiply(X1,multiply(double_divide(X2,a1),a1))) = double_divide(double_divide(X3,inverse(double_divide(X2,X0))),double_divide(inverse(X1),multiply(double_divide(X3,X4),X4))),
inference(paramodulation,[status(thm)],[f4149,f7]) ).
fof(f5525,plain,
! [X0,X1,X2,X3,X4] : double_divide(inverse(X0),multiply(X1,multiply(double_divide(X2,a1),a1))) = double_divide(double_divide(X3,multiply(X0,X2)),double_divide(inverse(X1),multiply(double_divide(X3,X4),X4))),
inference(forward_demodulation,[status(thm)],[f5,f5489]) ).
fof(f5534,plain,
! [X0,X1,X2,X3,X4] : double_divide(double_divide(inverse(X0),multiply(X1,double_divide(double_divide(X2,multiply(X3,X0)),X2))),X4) = double_divide(inverse(X1),multiply(X4,multiply(double_divide(X3,a1),a1))),
inference(backward_demodulation,[status(thm)],[f5535,f2225]) ).
fof(f5535,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(X1,multiply(double_divide(X2,a1),a1))) = double_divide(double_divide(X3,multiply(X0,X2)),double_divide(inverse(X1),multiply(double_divide(X3,a1),a1))),
inference(forward_demodulation,[status(thm)],[f460,f5525]) ).
fof(f5581,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),multiply(X1,multiply(double_divide(X1,a1),a1))),
inference(backward_demodulation,[status(thm)],[f5534,f1953]) ).
fof(f5630,plain,
! [X0,X1,X2] : double_divide(X0,X1) = double_divide(multiply(X1,X0),multiply(X2,multiply(double_divide(X2,a1),a1))),
inference(paramodulation,[status(thm)],[f5,f5581]) ).
fof(f5639,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(double_divide(inverse(multiply(double_divide(X0,a1),a1)),a1),a1),multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f5581,f1985]) ).
fof(f5660,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,multiply(double_divide(X0,a1),a1)),a1),a1) = multiply(double_divide(X1,double_divide(inverse(X2),X1)),X2),
inference(paramodulation,[status(thm)],[f5581,f1669]) ).
fof(f5662,plain,
! [X0,X1] : double_divide(a1,double_divide(inverse(X0),a1)) = double_divide(multiply(X1,multiply(double_divide(X1,a1),a1)),X0),
inference(paramodulation,[status(thm)],[f5581,f1671]) ).
fof(f5685,plain,
! [X0,X1] : multiply(multiply(X0,multiply(double_divide(X0,a1),a1)),inverse(X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f5581,f5]) ).
fof(f5717,plain,
! [X0,X1] : multiply(double_divide(multiply(X0,multiply(double_divide(X0,a1),a1)),a1),a1) = multiply(double_divide(a1,double_divide(inverse(X1),a1)),X1),
inference(forward_demodulation,[status(thm)],[f1671,f5660]) ).
fof(f5721,plain,
! [X0] : multiply(double_divide(a1,double_divide(inverse(a1),a1)),a1) = multiply(double_divide(a1,double_divide(inverse(X0),a1)),X0),
inference(backward_demodulation,[status(thm)],[f5662,f5717]) ).
fof(f5756,plain,
! [X0,X1,X2] : inverse(double_divide(X0,X1)) = multiply(multiply(X2,multiply(double_divide(X2,a1),a1)),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f5685]) ).
fof(f5785,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X2,multiply(double_divide(X2,a1),a1)),multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f5,f5756]) ).
fof(f5846,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,multiply(double_divide(X1,a1),a1)),double_divide(inverse(X2),multiply(X0,X2))),
inference(paramodulation,[status(thm)],[f5785,f2217]) ).
fof(f5948,plain,
! [X0,X1,X2] : double_divide(a1,double_divide(multiply(X0,X1),a1)) = double_divide(multiply(X2,multiply(double_divide(X2,a1),a1)),double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f5630,f1671]) ).
fof(f6048,plain,
! [X0,X1] : X0 = double_divide(a1,double_divide(multiply(multiply(X0,X1),inverse(X1)),a1)),
inference(backward_demodulation,[status(thm)],[f5948,f5846]) ).
fof(f6067,plain,
! [X0] : X0 = double_divide(a1,double_divide(inverse(multiply(double_divide(X0,a1),a1)),a1)),
inference(paramodulation,[status(thm)],[f5685,f6048]) ).
fof(f6247,plain,
! [X0] : multiply(double_divide(inverse(multiply(double_divide(X0,a1),a1)),a1),a1) = inverse(X0),
inference(paramodulation,[status(thm)],[f6067,f5]) ).
fof(f6338,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),multiply(inverse(X1),X1)),
inference(backward_demodulation,[status(thm)],[f6247,f5639]) ).
fof(f6444,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),double_divide(inverse(X0),inverse(X1))),
inference(paramodulation,[status(thm)],[f6338,f2217]) ).
fof(f6655,plain,
! [X0] : multiply(inverse(a1),a1) = multiply(double_divide(a1,double_divide(inverse(X0),a1)),X0),
inference(backward_demodulation,[status(thm)],[f6665,f5721]) ).
fof(f6664,plain,
! [X0,X1,X2] : inverse(X0) = double_divide(multiply(double_divide(X1,X2),X2),double_divide(inverse(X0),multiply(double_divide(X1,a1),a1))),
inference(backward_demodulation,[status(thm)],[f6665,f1255]) ).
fof(f6665,plain,
! [X0] : inverse(X0) = double_divide(a1,double_divide(inverse(X0),a1)),
inference(forward_demodulation,[status(thm)],[f1671,f6444]) ).
fof(f7047,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(double_divide(X1,a1),a1),double_divide(inverse(X0),multiply(double_divide(X1,a1),a1))),
inference(forward_demodulation,[status(thm)],[f1935,f6664]) ).
fof(f7049,plain,
! [X0] : multiply(inverse(a1),a1) = multiply(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f7050,f6655]) ).
fof(f7050,plain,
! [X0] : inverse(X0) = double_divide(a1,double_divide(inverse(X0),a1)),
inference(forward_demodulation,[status(thm)],[f1671,f7047]) ).
fof(f7849,plain,
$false,
inference(resolution,[status(thm)],[f7049,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP502-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.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 00:03:35 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.6.0
% 16.37/2.50 % Refutation found
% 16.37/2.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.37/2.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.10/2.57 % Elapsed time: 2.211487 seconds
% 17.10/2.57 % CPU time: 17.360983 seconds
% 17.10/2.57 % Total memory used: 390.652 MB
% 17.10/2.57 % Net memory used: 385.903 MB
%------------------------------------------------------------------------------