TSTP Solution File: GRP500-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP500-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:20:48 EDT 2024
% Result : Unsatisfiable 7.56s 1.29s
% Output : CNFRefutation 7.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 11 ( 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 : 209 ( 209 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,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(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),inverse(double_divide(X0,double_divide(X2,X3))))) = X3,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X0))) = X3,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),double_divide(X1,X0)))) = X4,
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X3,X0))) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X3),X2)),
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),inverse(X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),double_divide(X3,X4))),multiply(X4,X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f5,f12]) ).
fof(f202,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X0)),X3)),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(double_divide(X3,double_divide(inverse(double_divide(X1,X0)),X3)),multiply(X4,X2)))) = X4,
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(double_divide(X3,double_divide(multiply(X0,X1),X3)),multiply(X4,X2)))) = X4,
inference(forward_demodulation,[status(thm)],[f5,f275]) ).
fof(f385,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(multiply(X3,X4),X0)),double_divide(X4,X3))),
inference(paramodulation,[status(thm)],[f5,f202]) ).
fof(f410,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),X2),inverse(multiply(double_divide(X3,double_divide(inverse(X4),X2)),X4))) = inverse(double_divide(X3,X1)),
inference(paramodulation,[status(thm)],[f202,f12]) ).
fof(f411,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),X2),inverse(multiply(double_divide(X3,double_divide(inverse(X4),X2)),X4))) = multiply(X1,X3),
inference(forward_demodulation,[status(thm)],[f5,f410]) ).
fof(f412,plain,
! [X0,X1,X2,X3,X4] : double_divide(inverse(multiply(double_divide(X0,double_divide(inverse(X1),X2)),X1)),multiply(double_divide(X3,double_divide(X4,X3)),X2)) = double_divide(X0,X4),
inference(paramodulation,[status(thm)],[f202,f8]) ).
fof(f613,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,double_divide(inverse(X4),X0)),X4))),X2))) = multiply(X3,X1),
inference(paramodulation,[status(thm)],[f202,f411]) ).
fof(f641,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,double_divide(multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,double_divide(multiply(X5,X6),X0)),double_divide(X6,X5))),X2)),multiply(X7,X1)))) = X7,
inference(paramodulation,[status(thm)],[f385,f276]) ).
fof(f642,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X0,X2)),multiply(X3,X1)))) = X3,
inference(forward_demodulation,[status(thm)],[f385,f641]) ).
fof(f759,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,X0)),multiply(X2,X3)) = multiply(double_divide(X4,double_divide(X1,X4)),multiply(X2,X3)),
inference(paramodulation,[status(thm)],[f642,f202]) ).
fof(f792,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(X3,X0))),X2) = inverse(X3),
inference(paramodulation,[status(thm)],[f642,f5]) ).
fof(f1801,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(inverse(multiply(X0,X1)),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(X0,X1)))),X3) = inverse(double_divide(X6,double_divide(X5,X6))),
inference(paramodulation,[status(thm)],[f759,f792]) ).
fof(f1802,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(X1,X0))) = inverse(double_divide(X2,double_divide(X1,X2))),
inference(forward_demodulation,[status(thm)],[f792,f1801]) ).
fof(f1803,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = inverse(double_divide(X2,double_divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f5,f1802]) ).
fof(f1804,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f5,f1803]) ).
fof(f1805,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(X0,double_divide(inverse(multiply(X1,X2)),multiply(double_divide(X3,double_divide(X0,X3)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(X1,X2))))) = double_divide(X6,double_divide(X5,X6)),
inference(paramodulation,[status(thm)],[f759,f642]) ).
fof(f1806,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f642,f1805]) ).
fof(f1928,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X3))) = X0,
inference(paramodulation,[status(thm)],[f1804,f8]) ).
fof(f2361,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X0,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X2)),X3)),
inference(paramodulation,[status(thm)],[f1806,f202]) ).
fof(f3529,plain,
! [X0,X1,X2,X3] : double_divide(X0,X1) = multiply(double_divide(X0,double_divide(inverse(X2),multiply(double_divide(X1,X3),X3))),X2),
inference(paramodulation,[status(thm)],[f412,f1928]) ).
fof(f4127,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X0,X1)),double_divide(multiply(double_divide(X2,X3),X3),X2)),
inference(paramodulation,[status(thm)],[f3529,f2361]) ).
fof(f4213,plain,
! [X0,X1,X2,X3] : inverse(double_divide(multiply(double_divide(X0,X1),X1),X0)) = double_divide(multiply(double_divide(X2,X3),X3),X2),
inference(paramodulation,[status(thm)],[f3529,f4127]) ).
fof(f4214,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X0,X1),X1)) = double_divide(multiply(double_divide(X2,X3),X3),X2),
inference(forward_demodulation,[status(thm)],[f5,f4213]) ).
fof(f4466,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(multiply(double_divide(double_divide(X0,X1),X2),X2)),multiply(double_divide(X3,double_divide(X0,X3)),double_divide(multiply(double_divide(X4,X5),X5),X4))) = X1,
inference(paramodulation,[status(thm)],[f4214,f8]) ).
fof(f4467,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(double_divide(double_divide(X0,X1),X2),X2)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f4127,f4466]) ).
fof(f4483,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(inverse(multiply(double_divide(X0,X1),X1)),multiply(double_divide(X2,double_divide(X3,X2)),double_divide(multiply(double_divide(X4,X5),X5),X4))),X3) = inverse(X0),
inference(paramodulation,[status(thm)],[f4214,f792]) ).
fof(f4484,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(multiply(double_divide(X0,X1),X1)),X2),X2) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f4127,f4483]) ).
fof(f5440,plain,
! [X0,X1,X2,X3,X4] : double_divide(inverse(X0),multiply(double_divide(X1,X2),multiply(double_divide(inverse(multiply(double_divide(double_divide(X1,X2),X3),X3)),X4),X4))) = X0,
inference(paramodulation,[status(thm)],[f4467,f1928]) ).
fof(f5441,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(double_divide(X1,X2),inverse(double_divide(X1,X2)))) = X0,
inference(forward_demodulation,[status(thm)],[f4484,f5440]) ).
fof(f5442,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(double_divide(X1,X2),multiply(X2,X1))) = X0,
inference(forward_demodulation,[status(thm)],[f5,f5441]) ).
fof(f5556,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(X0),multiply(X1,multiply(multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X1),double_divide(X4,X5))),multiply(X5,X4)))) = X0,
inference(paramodulation,[status(thm)],[f9,f5442]) ).
fof(f5557,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f15,f5556]) ).
fof(f5734,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(double_divide(multiply(X1,inverse(X1)),X0),X2),X2),
inference(paramodulation,[status(thm)],[f4467,f5557]) ).
fof(f5765,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,inverse(X0)),inverse(multiply(double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,X4),X4))),X2))) = multiply(X3,X1),
inference(paramodulation,[status(thm)],[f5557,f613]) ).
fof(f5766,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(double_divide(X1,X2))) = multiply(X2,X1),
inference(forward_demodulation,[status(thm)],[f3529,f5765]) ).
fof(f5767,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),multiply(X1,X2)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f5,f5766]) ).
fof(f7839,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0)),X1) = multiply(double_divide(double_divide(multiply(X2,inverse(X2)),X1),X3),X3),
inference(paramodulation,[status(thm)],[f5734,f5767]) ).
fof(f7840,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f5734,f7839]) ).
fof(f7943,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f411,f7840]) ).
fof(f7994,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f7943,f6]) ).
fof(f7995,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP500-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:25:05 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.6.0
% 7.56/1.29 % Refutation found
% 7.56/1.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.56/1.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.56/1.34 % Elapsed time: 1.015821 seconds
% 7.56/1.34 % CPU time: 7.950685 seconds
% 7.56/1.34 % Total memory used: 184.070 MB
% 7.56/1.34 % Net memory used: 180.140 MB
%------------------------------------------------------------------------------