TSTP Solution File: GRP591-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP591-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:21:01 EDT 2024
% Result : Unsatisfiable 0.14s 0.47s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 66 ( 66 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 131 ( 131 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(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] : double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(X0),double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))),X3)),X3) = X2,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f19,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X0),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f8,f16]) ).
fof(f41,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X0),multiply(X1,X2)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f19]) ).
fof(f44,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(inverse(X1),multiply(inverse(X2),X2)),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f19,f11]) ).
fof(f45,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f19,f8]) ).
fof(f46,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f19,f5]) ).
fof(f47,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f46,f45]) ).
fof(f48,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f46,f44]) ).
fof(f63,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
inference(paramodulation,[status(thm)],[f46,f47]) ).
fof(f64,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f46,f19]) ).
fof(f71,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(multiply(inverse(X2),X2))) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f63]) ).
fof(f78,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),inverse(X1)),X1),inverse(multiply(inverse(X2),X2))) = X0,
inference(paramodulation,[status(thm)],[f63,f8]) ).
fof(f79,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f71,f78]) ).
fof(f87,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f79,f5]) ).
fof(f110,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X0),X1))) = X1,
inference(paramodulation,[status(thm)],[f48,f47]) ).
fof(f116,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f64,f110]) ).
fof(f119,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(inverse(X1))) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f48,f110]) ).
fof(f151,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f116,f79]) ).
fof(f166,plain,
! [X0] : multiply(inverse(X0),X0) = double_divide(a3,inverse(a3)),
inference(equality_split,[status(esa)],[f151]) ).
fof(f174,plain,
! [X0] : double_divide(X0,double_divide(a3,inverse(a3))) = inverse(X0),
inference(paramodulation,[status(thm)],[f166,f79]) ).
fof(f178,plain,
! [X0] : multiply(inverse(double_divide(a3,inverse(a3))),X0) = X0,
inference(paramodulation,[status(thm)],[f166,f116]) ).
fof(f179,plain,
! [X0] : multiply(multiply(inverse(a3),a3),X0) = X0,
inference(forward_demodulation,[status(thm)],[f5,f178]) ).
fof(f180,plain,
! [X0] : multiply(double_divide(a3,inverse(a3)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f166,f179]) ).
fof(f181,plain,
! [X0] : double_divide(inverse(X0),inverse(double_divide(a3,inverse(a3)))) = X0,
inference(paramodulation,[status(thm)],[f166,f110]) ).
fof(f182,plain,
! [X0] : double_divide(inverse(X0),multiply(inverse(a3),a3)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f181]) ).
fof(f183,plain,
! [X0] : double_divide(inverse(X0),double_divide(a3,inverse(a3))) = X0,
inference(forward_demodulation,[status(thm)],[f166,f182]) ).
fof(f184,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f174,f183]) ).
fof(f195,plain,
! [X0,X1] : multiply(X0,multiply(double_divide(a3,inverse(a3)),double_divide(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f166,f11]) ).
fof(f196,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f180,f195]) ).
fof(f197,plain,
! [X0,X1] : double_divide(multiply(double_divide(a3,inverse(a3)),double_divide(X0,X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f166,f8]) ).
fof(f198,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f180,f197]) ).
fof(f216,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(inverse(X1),X0),
inference(backward_demodulation,[status(thm)],[f184,f119]) ).
fof(f226,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),X1) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f216,f46]) ).
fof(f227,plain,
! [X0] : double_divide(inverse(double_divide(a3,inverse(a3))),X0) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f166,f226]) ).
fof(f228,plain,
! [X0] : double_divide(multiply(inverse(a3),a3),X0) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f5,f227]) ).
fof(f229,plain,
! [X0] : double_divide(double_divide(a3,inverse(a3)),X0) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f166,f228]) ).
fof(f230,plain,
! [X0] : double_divide(inverse(X0),X0) = double_divide(a3,inverse(a3)),
inference(backward_demodulation,[status(thm)],[f216,f166]) ).
fof(f241,plain,
! [X0,X1,X2] : double_divide(multiply(double_divide(inverse(X0),X1),double_divide(X0,X2)),X2) = X1,
inference(backward_demodulation,[status(thm)],[f216,f8]) ).
fof(f265,plain,
! [X0,X1] : multiply(double_divide(inverse(inverse(X0)),X1),X0) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f216,f87]) ).
fof(f266,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f184,f265]) ).
fof(f374,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(X0),X0),multiply(X1,X2)) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f216,f41]) ).
fof(f375,plain,
! [X0,X1] : double_divide(double_divide(a3,inverse(a3)),multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f230,f374]) ).
fof(f376,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f229,f375]) ).
fof(f416,plain,
! [X0,X1,X2] : double_divide(multiply(double_divide(inverse(double_divide(X0,X1)),X2),X0),X1) = X2,
inference(paramodulation,[status(thm)],[f198,f241]) ).
fof(f417,plain,
! [X0,X1,X2] : double_divide(multiply(double_divide(multiply(X0,X1),X2),X1),X0) = X2,
inference(forward_demodulation,[status(thm)],[f5,f416]) ).
fof(f430,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f198,f266]) ).
fof(f440,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f430,f376]) ).
fof(f441,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f184,f440]) ).
fof(f444,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f441,f430]) ).
fof(f446,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f441,f196]) ).
fof(f447,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f446]) ).
fof(f453,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(paramodulation,[status(thm)],[f447,f6]) ).
fof(f1085,plain,
! [X0,X1,X2] : multiply(X0,X1) = inverse(multiply(double_divide(multiply(X1,X2),X0),X2)),
inference(paramodulation,[status(thm)],[f417,f444]) ).
fof(f1086,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(X2,double_divide(multiply(X1,X2),X0)),
inference(forward_demodulation,[status(thm)],[f376,f1085]) ).
fof(f1277,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(multiply(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f1086,f430]) ).
fof(f1278,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f5,f1277]) ).
fof(f1279,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f453,f1278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP591-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:48:09 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.14/0.47 % Refutation found
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.49 % Elapsed time: 0.177851 seconds
% 0.14/0.49 % CPU time: 1.343899 seconds
% 0.14/0.49 % Total memory used: 39.725 MB
% 0.14/0.49 % Net memory used: 37.590 MB
%------------------------------------------------------------------------------