TSTP Solution File: GRP595-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP595-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 0.10s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 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 : 112 (; 112 !; 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/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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
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] : multiply(double_divide(X0,X1),double_divide(double_divide(X2,multiply(multiply(X1,X3),X0)),X3)) = X2,
inference(paramodulation,[status(thm)],[f9,f10]) ).
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(f41,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f11,f21]) ).
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(f53,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f21,f5]) ).
fof(f69,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(multiply(X1,X2),X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f41,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(f103,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,X2)),double_divide(inverse(X3),X0)) = inverse(double_divide(multiply(X2,X3),X1)),
inference(paramodulation,[status(thm)],[f69,f69]) ).
fof(f104,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,X2)),double_divide(inverse(X3),X0)) = multiply(X1,multiply(X2,X3)),
inference(forward_demodulation,[status(thm)],[f5,f103]) ).
fof(f107,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(inverse(X2),X0)) = inverse(multiply(X3,double_divide(X2,multiply(X1,X3)))),
inference(paramodulation,[status(thm)],[f53,f69]) ).
fof(f129,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(f130,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,f129]) ).
fof(f131,plain,
! [X0,X1,X2,X3] : multiply(inverse(double_divide(multiply(X0,X1),X2)),double_divide(double_divide(inverse(X1),X3),X3)) = multiply(X2,X0),
inference(paramodulation,[status(thm)],[f69,f83]) ).
fof(f132,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,X2)),double_divide(double_divide(inverse(X2),X3),X3)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f5,f131]) ).
fof(f133,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),multiply(X2,X1)) = multiply(X0,X2),
inference(forward_demodulation,[status(thm)],[f130,f132]) ).
fof(f143,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(X2,inverse(X1))) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f83,f21]) ).
fof(f199,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(X0)),X1)),
inference(paramodulation,[status(thm)],[f143,f41]) ).
fof(f219,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f9,f199]) ).
fof(f294,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(inverse(X2),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f219,f12]) ).
fof(f507,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X1)),multiply(double_divide(X2,multiply(X3,X0)),X1)) = double_divide(X2,X3),
inference(paramodulation,[status(thm)],[f294,f11]) ).
fof(f508,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(X2,X0))) = double_divide(X1,X2),
inference(forward_demodulation,[status(thm)],[f133,f507]) ).
fof(f551,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(inverse(X2),X0)) = inverse(double_divide(X2,X1)),
inference(backward_demodulation,[status(thm)],[f508,f107]) ).
fof(f552,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(inverse(X2),X0)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f5,f551]) ).
fof(f788,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f552,f104]) ).
fof(f835,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f788,f6]) ).
fof(f836,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GRP595-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n016.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 11:56:14 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 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
% 0.15/0.40 % Elapsed time: 0.064276 seconds
% 0.15/0.40 % CPU time: 0.179731 seconds
% 0.15/0.40 % Memory used: 5.740 MB
%------------------------------------------------------------------------------