TSTP Solution File: GRP593-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP593-1 : 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 : Wed May 31 12:12:09 EDT 2023
% Result : Unsatisfiable 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 105 (; 105 !; 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(inverse(a1),a1) != multiply(inverse(b1),b1),
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(inverse(a1),a1) != multiply(inverse(b1),b1),
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(f12,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,double_divide(double_divide(X1,X2),multiply(multiply(X3,multiply(multiply(X2,X0),X1)),X4))) = double_divide(X4,X3),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f21,plain,
! [X0,X1,X2] : double_divide(multiply(X0,double_divide(X1,multiply(X2,X0))),X2) = X1,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f54,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),X2) = multiply(X3,double_divide(X1,multiply(multiply(X2,X0),X3))),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f63,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,X1),multiply(X2,double_divide(X3,multiply(X0,X2)))),X3) = X1,
inference(paramodulation,[status(thm)],[f21,f9]) ).
fof(f64,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f21,f5]) ).
fof(f76,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(multiply(X0,X1),X2),double_divide(multiply(X1,X3),X0)),X3) = X2,
inference(paramodulation,[status(thm)],[f11,f63]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,double_divide(double_divide(double_divide(X1,multiply(X2,multiply(X3,X0))),X3),X4)) = double_divide(X1,multiply(X2,X4)),
inference(paramodulation,[status(thm)],[f63,f12]) ).
fof(f186,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)],[f64,f9]) ).
fof(f187,plain,
! [X0,X1,X2] : multiply(inverse(X0),double_divide(double_divide(multiply(X1,X0),X2),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f54,f186]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,double_divide(double_divide(double_divide(X1,multiply(X2,multiply(X3,X0))),X3),multiply(inverse(X1),X4))) = double_divide(X4,X2),
inference(paramodulation,[status(thm)],[f64,f12]) ).
fof(f189,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,multiply(inverse(X0),X2))) = double_divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f86,f188]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(inverse(X0),multiply(X1,double_divide(X2,multiply(X3,X1)))),X2) = multiply(X4,double_divide(X0,multiply(X3,X4))),
inference(paramodulation,[status(thm)],[f64,f63]) ).
fof(f224,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(inverse(X1),X2)),X1) = inverse(double_divide(X2,X0)),
inference(paramodulation,[status(thm)],[f189,f5]) ).
fof(f225,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(inverse(X1),X2)),X1) = multiply(X0,X2),
inference(forward_demodulation,[status(thm)],[f5,f224]) ).
fof(f236,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,X1),X2),X3) = multiply(inverse(double_divide(multiply(X1,X3),X0)),X2),
inference(paramodulation,[status(thm)],[f225,f76]) ).
fof(f237,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,X1),X2),X3) = multiply(multiply(X0,multiply(X1,X3)),X2),
inference(forward_demodulation,[status(thm)],[f5,f236]) ).
fof(f241,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(inverse(X0),X1),X2),double_divide(X2,multiply(X3,X1))) = double_divide(X0,X3),
inference(paramodulation,[status(thm)],[f225,f11]) ).
fof(f242,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),multiply(X1,double_divide(X2,multiply(X3,X1)))),X2) = double_divide(X0,X3),
inference(forward_demodulation,[status(thm)],[f237,f241]) ).
fof(f260,plain,
! [X0,X1,X2] : double_divide(X0,X1) = multiply(X2,double_divide(X0,multiply(X1,X2))),
inference(backward_demodulation,[status(thm)],[f242,f195]) ).
fof(f265,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f260,f10]) ).
fof(f329,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f265,f187]) ).
fof(f406,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f329,f225]) ).
fof(f407,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP593-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:49:34 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.21/0.42 % Refutation found
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.43 % Elapsed time: 0.084274 seconds
% 0.21/0.43 % CPU time: 0.563976 seconds
% 0.21/0.43 % Memory used: 10.058 MB
%------------------------------------------------------------------------------