TSTP Solution File: GRP480-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP480-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Wed May 31 12:11:49 EDT 2023
% Result : Unsatisfiable 24.15s 3.52s
% Output : CNFRefutation 24.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 3
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 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 : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 265 (; 265 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(inverse(divide(divide(divide(A,A),B),divide(C,divide(B,D)))),D) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
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(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,X3)))),X3) = X2,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,divide(inverse(X1),X3)))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(X1,X3))))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4))))),divide(X5,X3))),X4) = X5,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),divide(X5,X3))),X4) = X5,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(divide(multiply(inverse(X0),X0),X1),divide(X2,multiply(X1,X3)))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(multiply(multiply(inverse(X0),X0),X1),divide(X2,multiply(inverse(X1),X3)))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f19]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(inverse(X1),X3))))),
inference(paramodulation,[status(thm)],[f4,f9]) ).
fof(f206,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = X2,
inference(paramodulation,[status(thm)],[f11,f4]) ).
fof(f284,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,inverse(X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f206]) ).
fof(f285,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f284]) ).
fof(f342,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(multiply(inverse(X0),X0),X1),X2)),X3),multiply(X1,X3)) = X2,
inference(paramodulation,[status(thm)],[f5,f285]) ).
fof(f365,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(multiply(divide(multiply(inverse(X0),X0),X1),X2)),X3),multiply(X1,X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f5,f342]) ).
fof(f368,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(multiply(multiply(inverse(X0),X0),X1),X2)),X3),multiply(inverse(X1),X3)) = X2,
inference(paramodulation,[status(thm)],[f5,f342]) ).
fof(f395,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X2)),X3),multiply(inverse(X1),X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f5,f365]) ).
fof(f438,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(X0,X1)),X2),multiply(multiply(inverse(X3),divide(multiply(multiply(inverse(X4),X4),X3),X0)),X2)) = X1,
inference(paramodulation,[status(thm)],[f368,f342]) ).
fof(f1337,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))),
inference(paramodulation,[status(thm)],[f13,f35]) ).
fof(f1338,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f4,f1337]) ).
fof(f1655,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),multiply(X2,X1)) = divide(divide(X0,X3),divide(X2,X3)),
inference(paramodulation,[status(thm)],[f1338,f285]) ).
fof(f1656,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X3),divide(X2,X3)),
inference(paramodulation,[status(thm)],[f1338,f206]) ).
fof(f1723,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),multiply(X2,X1)) = divide(multiply(X0,X3),multiply(X2,X3)),
inference(paramodulation,[status(thm)],[f1655,f1655]) ).
fof(f1840,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(multiply(multiply(inverse(X0),X0),X1),multiply(X2,X1))),X3),multiply(X4,X3)) = divide(X2,X4),
inference(paramodulation,[status(thm)],[f1655,f342]) ).
fof(f2004,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(divide(divide(multiply(inverse(X0),X0),X1),divide(multiply(X2,X3),multiply(X1,X3)))),X4) = multiply(X2,X4),
inference(paramodulation,[status(thm)],[f1723,f19]) ).
fof(f2371,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,X1) = divide(X0,multiply(inverse(X2),divide(multiply(multiply(inverse(X3),X3),X2),multiply(multiply(inverse(X4),X4),X1)))),
inference(paramodulation,[status(thm)],[f438,f1840]) ).
fof(f3471,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(multiply(inverse(divide(multiply(multiply(inverse(X0),X0),X1),multiply(X2,X1))),X3),multiply(X4,X3)) = divide(X2,inverse(divide(divide(multiply(inverse(X5),X5),X6),divide(multiply(X4,X7),multiply(X6,X7))))),
inference(paramodulation,[status(thm)],[f2004,f1840]) ).
fof(f3472,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = divide(X0,inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(X1,X4),multiply(X3,X4))))),
inference(forward_demodulation,[status(thm)],[f1840,f3471]) ).
fof(f3473,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(X0,divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(X1,X4),multiply(X3,X4)))),
inference(forward_demodulation,[status(thm)],[f5,f3472]) ).
fof(f3544,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(X0,divide(multiply(multiply(inverse(X2),X2),X3),divide(multiply(X1,X4),multiply(inverse(X3),X4)))),
inference(paramodulation,[status(thm)],[f5,f3473]) ).
fof(f3672,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(multiply(inverse(divide(multiply(multiply(inverse(X0),X0),X1),X2)),X3),multiply(inverse(X1),X3)) = inverse(divide(divide(multiply(inverse(X4),X4),X5),divide(multiply(X2,X6),multiply(X5,X6)))),
inference(paramodulation,[status(thm)],[f3473,f395]) ).
fof(f3673,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(multiply(inverse(X1),X1),X2),divide(multiply(X0,X3),multiply(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f368,f3672]) ).
fof(f3871,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(multiply(inverse(X1),X1),X2),divide(multiply(X0,X3),multiply(inverse(X2),X3)))),
inference(paramodulation,[status(thm)],[f5,f3673]) ).
fof(f10191,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X2)),X3),multiply(inverse(X1),X3)) = multiply(inverse(X4),divide(multiply(multiply(inverse(X5),X5),X4),multiply(multiply(inverse(X6),X6),X2))),
inference(paramodulation,[status(thm)],[f2371,f368]) ).
fof(f10192,plain,
! [X0,X1,X2,X3] : inverse(X0) = multiply(inverse(X1),divide(multiply(multiply(inverse(X2),X2),X1),multiply(multiply(inverse(X3),X3),X0))),
inference(forward_demodulation,[status(thm)],[f395,f10191]) ).
fof(f10436,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(X0) = multiply(X1,divide(multiply(multiply(inverse(X2),X2),divide(multiply(multiply(inverse(X3),X3),X4),divide(multiply(X1,X5),multiply(inverse(X4),X5)))),multiply(multiply(inverse(X6),X6),X0))),
inference(paramodulation,[status(thm)],[f3871,f10192]) ).
fof(f10437,plain,
! [X0,X1,X2,X3] : inverse(X0) = multiply(X1,divide(divide(multiply(inverse(X2),X2),X1),multiply(multiply(inverse(X3),X3),X0))),
inference(forward_demodulation,[status(thm)],[f3544,f10436]) ).
fof(f10717,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(divide(multiply(multiply(inverse(X0),X0),X1),divide(multiply(X2,X3),multiply(inverse(X1),X3)))) = multiply(X4,divide(divide(multiply(inverse(X5),X5),X4),divide(multiply(inverse(X6),X6),X2))),
inference(paramodulation,[status(thm)],[f3544,f10437]) ).
fof(f10718,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,divide(divide(multiply(inverse(X2),X2),X1),divide(multiply(inverse(X3),X3),X0))),
inference(forward_demodulation,[status(thm)],[f3871,f10717]) ).
fof(f11354,plain,
! [X0,X1,X2,X3] : X0 = multiply(X0,divide(divide(multiply(inverse(X1),X1),X2),divide(multiply(inverse(X3),X3),X2))),
inference(paramodulation,[status(thm)],[f1656,f10718]) ).
fof(f11654,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(divide(multiply(multiply(inverse(X0),X0),X1),divide(X2,multiply(inverse(X1),divide(divide(multiply(inverse(X3),X3),X4),divide(multiply(inverse(X5),X5),X4)))))) = X2,
inference(paramodulation,[status(thm)],[f23,f11354]) ).
fof(f11655,plain,
! [X0,X1,X2] : inverse(divide(multiply(multiply(inverse(X0),X0),X1),divide(X2,inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f11354,f11654]) ).
fof(f11656,plain,
! [X0,X1,X2] : inverse(divide(multiply(multiply(inverse(X0),X0),X1),multiply(X2,X1))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f11655]) ).
fof(f12105,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(multiply(inverse(X0),X0),multiply(X1,divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(inverse(X4),X4),X3))))) = X1,
inference(paramodulation,[status(thm)],[f11354,f11656]) ).
fof(f12106,plain,
! [X0,X1] : inverse(divide(multiply(inverse(X0),X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f11354,f12105]) ).
fof(f12182,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(inverse(X2),X1)) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f11656,f368]) ).
fof(f12518,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f12182,f12106]) ).
fof(f12652,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(inverse(X0),X1)) = multiply(inverse(divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(X1,X4),multiply(X3,X4)))),X0),
inference(paramodulation,[status(thm)],[f3473,f12518]) ).
fof(f12653,plain,
! [X0,X1] : inverse(divide(inverse(X0),X1)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f3673,f12652]) ).
fof(f12791,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(X0,X1)) = multiply(X1,divide(divide(multiply(inverse(X2),X2),X3),divide(multiply(X0,X4),multiply(X3,X4)))),
inference(paramodulation,[status(thm)],[f3673,f12653]) ).
fof(f12792,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f3473,f12791]) ).
fof(f12872,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f12792,f12106]) ).
fof(f13137,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f12872,f12792]) ).
fof(f13335,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(divide(multiply(inverse(X2),X2),X1),inverse(X0))),
inference(backward_demodulation,[status(thm)],[f13137,f10718]) ).
fof(f13336,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(divide(multiply(inverse(X2),X2),X1),X0)),
inference(forward_demodulation,[status(thm)],[f5,f13335]) ).
fof(f13337,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f13137,f13336]) ).
fof(f13401,plain,
! [X0,X1] : inverse(inverse(X0)) = divide(X0,multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f13137,f12792]) ).
fof(f13402,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f12872,f13401]) ).
fof(f13455,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f13402,f13337]) ).
fof(f13936,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f13455,f12518]) ).
fof(f15528,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),inverse(X2)) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f13936,f12182]) ).
fof(f15529,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f15528]) ).
fof(f17010,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f15529]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP480-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n014.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:31:03 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 24.15/3.52 % Refutation found
% 24.15/3.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 24.15/3.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.32/3.65 % Elapsed time: 3.307664 seconds
% 25.32/3.65 % CPU time: 25.336806 seconds
% 25.32/3.65 % Memory used: 341.293 MB
%------------------------------------------------------------------------------