TSTP Solution File: GRP606-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP606-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:21:03 EDT 2024
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of formulae : 71 ( 71 unt; 0 def)
% Number of atoms : 71 ( 70 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 160 ( 160 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = B,
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(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
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] : double_divide(inverse(double_divide(X0,multiply(double_divide(X0,X1),inverse(X2)))),X1) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(double_divide(X0,X1),inverse(X2)),X0),X1) = X2,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(double_divide(X2,X3),inverse(X0)),X2)),X3) = X1,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(double_divide(X0,X1),multiply(X2,X3)),X0),X1) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),inverse(X2)),X1)) = inverse(X2),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f22,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X0,inverse(X1))) = X1,
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f37,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f22,f5]) ).
fof(f42,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f37,f22]) ).
fof(f46,plain,
! [X0,X1] : double_divide(inverse(inverse(X0)),inverse(X1)) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f37,f42]) ).
fof(f56,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,X1)),inverse(X2)) = multiply(X2,inverse(double_divide(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f46]) ).
fof(f57,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,X1)),inverse(X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f5,f56]) ).
fof(f64,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(backward_demodulation,[status(thm)],[f57,f42]) ).
fof(f66,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(inverse(X1),X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f11,f64]) ).
fof(f67,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = X2,
inference(paramodulation,[status(thm)],[f5,f64]) ).
fof(f84,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(paramodulation,[status(thm)],[f64,f67]) ).
fof(f92,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(X0,inverse(X1)),multiply(X2,inverse(X2))),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f84,f9]) ).
fof(f93,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f84,f8]) ).
fof(f94,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f84,f64]) ).
fof(f97,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X0) = X1,
inference(paramodulation,[status(thm)],[f84,f22]) ).
fof(f98,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f5,f97]) ).
fof(f101,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(inverse(X2),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f84,f67]) ).
fof(f108,plain,
! [X0,X1,X2] : double_divide(multiply(X0,inverse(X0)),multiply(X1,X2)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f93]) ).
fof(f114,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(multiply(X2,X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f5,f94]) ).
fof(f116,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f94,f84]) ).
fof(f124,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f94,f5]) ).
fof(f125,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f114,f93]) ).
fof(f135,plain,
! [X0,X1,X2] : multiply(X0,double_divide(multiply(X1,inverse(X1)),multiply(X0,inverse(X2)))) = X2,
inference(backward_demodulation,[status(thm)],[f114,f92]) ).
fof(f136,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f108,f135]) ).
fof(f141,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(backward_demodulation,[status(thm)],[f124,f98]) ).
fof(f145,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(inverse(X0),X1),X1),multiply(X2,X0)) = X2,
inference(paramodulation,[status(thm)],[f136,f67]) ).
fof(f147,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(multiply(X2,X1),X0),
inference(paramodulation,[status(thm)],[f67,f10]) ).
fof(f160,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1) = double_divide(double_divide(inverse(X2),X3),X3),
inference(paramodulation,[status(thm)],[f136,f10]) ).
fof(f161,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = double_divide(double_divide(inverse(X2),X3),X3),
inference(forward_demodulation,[status(thm)],[f147,f160]) ).
fof(f193,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f136,f116]) ).
fof(f203,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1) = double_divide(inverse(X3),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f116,f10]) ).
fof(f204,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = double_divide(inverse(X3),multiply(X3,X2)),
inference(forward_demodulation,[status(thm)],[f147,f203]) ).
fof(f205,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = multiply(double_divide(X2,X3),X3),
inference(forward_demodulation,[status(thm)],[f101,f204]) ).
fof(f219,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X0) = X1,
inference(backward_demodulation,[status(thm)],[f193,f116]) ).
fof(f241,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(inverse(X1),X1)),X0),
inference(backward_demodulation,[status(thm)],[f193,f66]) ).
fof(f242,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(X1,inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f5,f241]) ).
fof(f243,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(inverse(X1),X1),X0),
inference(forward_demodulation,[status(thm)],[f193,f242]) ).
fof(f383,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(X0),X0),multiply(X1,X2)) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f193,f108]) ).
fof(f384,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f243,f383]) ).
fof(f390,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f384,f219]) ).
fof(f393,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f384,f141]) ).
fof(f394,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f390,f161]) ).
fof(f395,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f390,f145]) ).
fof(f396,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(backward_demodulation,[status(thm)],[f394,f205]) ).
fof(f399,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f396,f84]) ).
fof(f405,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f399,f136]) ).
fof(f406,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f399,f94]) ).
fof(f407,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f399,f94]) ).
fof(f408,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = double_divide(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f193,f407]) ).
fof(f411,plain,
multiply(double_divide(inverse(b2),b2),a2) != a2,
inference(backward_demodulation,[status(thm)],[f406,f6]) ).
fof(f412,plain,
multiply(double_divide(b2,inverse(b2)),a2) != a2,
inference(forward_demodulation,[status(thm)],[f408,f411]) ).
fof(f419,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(backward_demodulation,[status(thm)],[f406,f395]) ).
fof(f420,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(X1,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f408,f419]) ).
fof(f421,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f384,f420]) ).
fof(f462,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f421,f393]) ).
fof(f499,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f393,f405]) ).
fof(f500,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f499]) ).
fof(f516,plain,
! [X0,X1] : X0 = multiply(double_divide(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f125,f500]) ).
fof(f517,plain,
! [X0,X1] : X0 = multiply(double_divide(X1,inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f462,f516]) ).
fof(f534,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f517,f412]) ).
fof(f535,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP606-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:54:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.41 % Elapsed time: 0.054981 seconds
% 0.20/0.41 % CPU time: 0.346790 seconds
% 0.20/0.41 % Total memory used: 19.390 MB
% 0.20/0.41 % Net memory used: 18.919 MB
%------------------------------------------------------------------------------