TSTP Solution File: GRP594-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP594-1 : 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 20:21:02 EDT 2024
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 3
% Syntax : Number of formulae : 91 ( 91 unt; 0 def)
% Number of atoms : 91 ( 90 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 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 : 277 ( 277 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = 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] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(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(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),double_divide(X0,X2)) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(multiply(inverse(double_divide(X0,X1)),X2),double_divide(X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0))) = X1,
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3))) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),multiply(X1,X2)),double_divide(double_divide(X3,X2),X0)) = X3,
inference(paramodulation,[status(thm)],[f10,f10]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X1,multiply(X2,X3))),X2)) = X3,
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,X2)) = double_divide(double_divide(X0,X3),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),double_divide(X1,double_divide(double_divide(X2,X3),multiply(X3,X4)))) = double_divide(double_divide(X0,X4),X2),
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f21,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,X1),X2),double_divide(X2,multiply(X3,X4))) = double_divide(X4,multiply(multiply(X1,X3),X0)),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f42,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,multiply(multiply(X2,X3),X0))) = double_divide(multiply(X3,X1),X2),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] : X0 = double_divide(multiply(double_divide(double_divide(X1,X2),X3),double_divide(X0,X1)),double_divide(double_divide(X3,X4),multiply(X4,X2))),
inference(paramodulation,[status(thm)],[f13,f21]) ).
fof(f53,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f21,f5]) ).
fof(f82,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),double_divide(multiply(X1,double_divide(X0,multiply(multiply(X2,X3),X1))),X2)) = X3,
inference(paramodulation,[status(thm)],[f53,f9]) ).
fof(f83,plain,
! [X0,X1,X2] : multiply(inverse(X0),double_divide(double_divide(multiply(X1,X0),X2),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f42,f82]) ).
fof(f92,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(double_divide(multiply(X2,double_divide(X1,X0)),X3),X3)) = X2,
inference(paramodulation,[status(thm)],[f5,f83]) ).
fof(f99,plain,
! [X0,X1,X2,X3] : multiply(inverse(double_divide(X0,X1)),double_divide(double_divide(X2,X3),X3)) = multiply(multiply(X1,X2),X0),
inference(paramodulation,[status(thm)],[f9,f83]) ).
fof(f100,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(double_divide(X2,X3),X3)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f5,f99]) ).
fof(f110,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(X2,inverse(X1))) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f83,f21]) ).
fof(f114,plain,
! [X0,X1,X2,X3] : X0 = double_divide(multiply(double_divide(double_divide(multiply(X1,X2),X3),X3),double_divide(X0,X1)),inverse(X2)),
inference(paramodulation,[status(thm)],[f83,f21]) ).
fof(f123,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,double_divide(X2,X0))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f100,f92]) ).
fof(f132,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),double_divide(double_divide(X1,X2),X2)) = multiply(X3,multiply(X1,double_divide(X0,X3))),
inference(paramodulation,[status(thm)],[f123,f83]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),double_divide(X1,multiply(X2,X3))) = double_divide(X3,multiply(X4,multiply(X2,double_divide(X0,X4)))),
inference(paramodulation,[status(thm)],[f123,f11]) ).
fof(f146,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,inverse(double_divide(X2,X3)))) = double_divide(multiply(multiply(X3,X0),X2),X1),
inference(paramodulation,[status(thm)],[f9,f110]) ).
fof(f147,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(X2,X3))) = double_divide(multiply(multiply(X2,X0),X3),X1),
inference(forward_demodulation,[status(thm)],[f5,f146]) ).
fof(f152,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,inverse(double_divide(double_divide(X0,X2),multiply(X2,X3))))) = double_divide(X3,X1),
inference(paramodulation,[status(thm)],[f10,f110]) ).
fof(f153,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X2)))) = double_divide(X3,X1),
inference(forward_demodulation,[status(thm)],[f5,f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),X2) = double_divide(X0,multiply(X3,multiply(X2,double_divide(inverse(X1),X3)))),
inference(paramodulation,[status(thm)],[f123,f110]) ).
fof(f160,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2),
inference(paramodulation,[status(thm)],[f110,f21]) ).
fof(f172,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X1) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f83,f160]) ).
fof(f173,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(X0,multiply(X1,inverse(X2))),
inference(paramodulation,[status(thm)],[f10,f160]) ).
fof(f174,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,X2)) = double_divide(multiply(multiply(X2,X1),double_divide(X0,X3)),X3),
inference(paramodulation,[status(thm)],[f5,f160]) ).
fof(f175,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,multiply(X3,multiply(X2,double_divide(X0,X3)))),
inference(forward_demodulation,[status(thm)],[f147,f174]) ).
fof(f200,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = multiply(inverse(X1),double_divide(X0,X2)),
inference(backward_demodulation,[status(thm)],[f175,f154]) ).
fof(f204,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,multiply(X2,X3))) = multiply(X0,double_divide(X3,X2)),
inference(backward_demodulation,[status(thm)],[f175,f137]) ).
fof(f217,plain,
! [X0,X1,X2] : double_divide(multiply(double_divide(multiply(X0,X1),X2),X1),X2) = X0,
inference(backward_demodulation,[status(thm)],[f200,f83]) ).
fof(f218,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f172,f217]) ).
fof(f222,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),X2),X1) = multiply(X3,multiply(X0,double_divide(X2,X3))),
inference(backward_demodulation,[status(thm)],[f200,f132]) ).
fof(f234,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(X2,X0))) = double_divide(X1,X2),
inference(backward_demodulation,[status(thm)],[f204,f11]) ).
fof(f235,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),double_divide(X2,X3)) = double_divide(X2,multiply(multiply(X1,X3),X0)),
inference(backward_demodulation,[status(thm)],[f204,f30]) ).
fof(f241,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(multiply(X1,X2),double_divide(X0,X1)),inverse(X2)),
inference(backward_demodulation,[status(thm)],[f218,f114]) ).
fof(f242,plain,
! [X0,X1,X2] : X0 = double_divide(X1,multiply(inverse(X1),multiply(X2,double_divide(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f147,f241]) ).
fof(f252,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f234,f53]) ).
fof(f254,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = double_divide(multiply(X2,X0),X1),
inference(backward_demodulation,[status(thm)],[f234,f42]) ).
fof(f299,plain,
! [X0,X1,X2,X3,X4] : X0 = double_divide(double_divide(X0,multiply(multiply(X1,X2),double_divide(X2,X3))),double_divide(double_divide(X1,X4),multiply(X4,X3))),
inference(backward_demodulation,[status(thm)],[f235,f43]) ).
fof(f313,plain,
! [X0,X1] : X0 = double_divide(X1,multiply(inverse(X1),inverse(X0))),
inference(backward_demodulation,[status(thm)],[f252,f242]) ).
fof(f314,plain,
! [X0,X1] : X0 = multiply(double_divide(X1,inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f173,f313]) ).
fof(f331,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(X2,X1))) = multiply(X3,multiply(X2,double_divide(X0,X3))),
inference(backward_demodulation,[status(thm)],[f254,f222]) ).
fof(f332,plain,
! [X0,X1,X2] : double_divide(X0,inverse(X1)) = multiply(X2,multiply(X1,double_divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f252,f331]) ).
fof(f352,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,double_divide(X0,inverse(X2))),
inference(backward_demodulation,[status(thm)],[f332,f175]) ).
fof(f376,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(X1,multiply(X2,X0)),X2),
inference(paramodulation,[status(thm)],[f218,f234]) ).
fof(f401,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(double_divide(double_divide(X0,double_divide(X1,inverse(X1))),multiply(X2,X3)),X2)) = X3,
inference(paramodulation,[status(thm)],[f314,f14]) ).
fof(f402,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X0,double_divide(X2,inverse(X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f376,f401]) ).
fof(f403,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,double_divide(X0,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f352,f402]) ).
fof(f404,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f252,f403]) ).
fof(f405,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X1,X2)),double_divide(X3,inverse(X3)))) = X2,
inference(paramodulation,[status(thm)],[f314,f14]) ).
fof(f406,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,double_divide(double_divide(double_divide(X0,X2),multiply(X2,X3)),X1))) = X3,
inference(forward_demodulation,[status(thm)],[f352,f405]) ).
fof(f407,plain,
! [X0,X1,X2] : multiply(X0,inverse(double_divide(double_divide(X0,X1),multiply(X1,X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f252,f406]) ).
fof(f408,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),double_divide(X0,X1))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f407]) ).
fof(f450,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X1,X2)),X3)) = multiply(X2,inverse(X3)),
inference(paramodulation,[status(thm)],[f404,f14]) ).
fof(f452,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(X1,X2)) = multiply(X0,inverse(X2)),
inference(paramodulation,[status(thm)],[f404,f9]) ).
fof(f465,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(double_divide(double_divide(X1,X2),multiply(X2,X3)))) = double_divide(double_divide(X0,X3),X1),
inference(backward_demodulation,[status(thm)],[f452,f20]) ).
fof(f466,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,X2),double_divide(X3,X1))) = double_divide(double_divide(X0,X2),X3),
inference(forward_demodulation,[status(thm)],[f5,f465]) ).
fof(f469,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(X0,multiply(X1,inverse(X2))),double_divide(double_divide(X1,X3),multiply(X3,X2))),
inference(backward_demodulation,[status(thm)],[f452,f299]) ).
fof(f470,plain,
! [X0,X1,X2,X3] : X0 = double_divide(multiply(double_divide(X0,X1),X2),double_divide(double_divide(X1,X3),multiply(X3,X2))),
inference(forward_demodulation,[status(thm)],[f173,f469]) ).
fof(f471,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,multiply(double_divide(double_divide(X2,X3),multiply(X3,X1)),double_divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f254,f470]) ).
fof(f472,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,double_divide(X0,multiply(multiply(multiply(X2,X1),X3),double_divide(X3,X2)))),
inference(forward_demodulation,[status(thm)],[f235,f471]) ).
fof(f473,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f9,f472]) ).
fof(f480,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = double_divide(double_divide(X0,X2),multiply(X2,X1)),
inference(backward_demodulation,[status(thm)],[f452,f15]) ).
fof(f483,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f466,f408]) ).
fof(f484,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(X1,X2),X0)) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f466,f153]) ).
fof(f485,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f473,f484]) ).
fof(f501,plain,
! [X0,X1,X2] : multiply(X0,double_divide(multiply(X0,inverse(X1)),X2)) = multiply(X1,inverse(X2)),
inference(backward_demodulation,[status(thm)],[f480,f450]) ).
fof(f502,plain,
! [X0,X1,X2] : multiply(X0,double_divide(inverse(X1),multiply(X2,X0))) = multiply(X1,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f254,f501]) ).
fof(f503,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f234,f502]) ).
fof(f572,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f483,f252]) ).
fof(f573,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f572]) ).
fof(f576,plain,
! [X0,X1] : X0 = multiply(X0,double_divide(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f314,f573]) ).
fof(f579,plain,
multiply(multiply(b2,inverse(b2)),a2) != a2,
inference(paramodulation,[status(thm)],[f573,f6]) ).
fof(f580,plain,
multiply(a2,multiply(b2,inverse(b2))) != a2,
inference(forward_demodulation,[status(thm)],[f573,f579]) ).
fof(f581,plain,
multiply(a2,double_divide(inverse(b2),b2)) != a2,
inference(forward_demodulation,[status(thm)],[f503,f580]) ).
fof(f582,plain,
multiply(a2,double_divide(b2,inverse(b2))) != a2,
inference(forward_demodulation,[status(thm)],[f485,f581]) ).
fof(f583,plain,
a2 != a2,
inference(forward_demodulation,[status(thm)],[f576,f582]) ).
fof(f584,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GRP594-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n010.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 00:05:05 EDT 2024
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V3.6.0
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.39 % Elapsed time: 0.049981 seconds
% 0.10/0.39 % CPU time: 0.309921 seconds
% 0.10/0.39 % Total memory used: 20.392 MB
% 0.10/0.39 % Net memory used: 19.875 MB
%------------------------------------------------------------------------------