TSTP Solution File: GRP601-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP601-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 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 : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(inverse(double_divide(A,inverse(double_divide(B,double_divide(A,C))))),C)) = B,
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(inverse(double_divide(X0,inverse(double_divide(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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X2,X0,X1] : multiply(X2,inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2)))))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X2,X1,X0] : multiply(X2,multiply(inverse(double_divide(X1,double_divide(X0,X2))),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X2)),X3),X0) = multiply(X2,multiply(X3,X1)),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f12,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(X1,X2),multiply(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f14,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(multiply(X1,X2),double_divide(X2,X0)),X1),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(double_divide(X1,multiply(double_divide(multiply(X0,X1),double_divide(X2,X3)),X4)),multiply(X3,multiply(X4,X2))),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f30,plain,
! [X0,X1,X2] : double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X1)) = X2,
inference(paramodulation,[status(thm)],[f14,f17]) ).
fof(f53,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f17,f30]) ).
fof(f86,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f53,f5]) ).
fof(f136,plain,
! [X0,X1,X2] : X0 = inverse(double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X1))),
inference(paramodulation,[status(thm)],[f86,f15]) ).
fof(f185,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(X1,X2),multiply(X0,multiply(X2,X1))),
inference(forward_demodulation,[status(thm)],[f5,f136]) ).
fof(f256,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(X0,multiply(double_divide(X2,multiply(X1,X3)),multiply(X3,X2)))),
inference(paramodulation,[status(thm)],[f53,f185]) ).
fof(f302,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X0,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f86,f256]) ).
fof(f307,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f9,f302]) ).
fof(f316,plain,
! [X0,X1] : X0 = multiply(double_divide(inverse(X0),X1),X1),
inference(paramodulation,[status(thm)],[f302,f185]) ).
fof(f340,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f185,f307]) ).
fof(f381,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f86,f316]) ).
fof(f411,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f381]) ).
fof(f412,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(paramodulation,[status(thm)],[f381,f316]) ).
fof(f845,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f412,f411]) ).
fof(f871,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f381,f845]) ).
fof(f1039,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f871,f14]) ).
fof(f1145,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(backward_demodulation,[status(thm)],[f1039,f6]) ).
fof(f1149,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f340,f1039]) ).
fof(f1211,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(forward_demodulation,[status(thm)],[f1039,f1145]) ).
fof(f1352,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f340,f1149]) ).
fof(f1381,plain,
$false,
inference(resolution,[status(thm)],[f1352,f1211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GRP601-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n027.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 00:53:17 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Drodi V3.6.0
% 0.15/0.36 % Refutation found
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.37 % Elapsed time: 0.072614 seconds
% 0.15/0.37 % CPU time: 0.510326 seconds
% 0.15/0.37 % Total memory used: 27.305 MB
% 0.15/0.37 % Net memory used: 26.994 MB
%------------------------------------------------------------------------------