TSTP Solution File: LCL897-10 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL897-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:28:21 EDT 2024
% Result : Unsatisfiable 0.10s 0.55s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : '+'('+'(A,B),C) = '+'(A,'+'(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : '+'(A,B) = '+'(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : ' = =>'('+'(A,B),C) = ' = =>'(A,' = =>'(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] : '+'(A,' = =>'(A,B)) = '+'(B,' = =>'(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f16,plain,
! [X0,X1,X2] : ' = =>'('+'(X0,X1),X2) = ' = =>'(X0,' = =>'(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
! [X0,X1] : '+'(X0,' = =>'(X0,X1)) = '+'(X1,' = =>'(X1,X0)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f18,plain,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
! [X0,X1,X2] : ' = =>'(X0,' = =>'(X1,X2)) = ' = =>'('+'(X1,X0),X2),
inference(paramodulation,[status(thm)],[f11,f16]) ).
fof(f21,plain,
'+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))) != '+'('+'(a,' = =>'(a,b)),' = =>'(a,' = =>'(' = =>'(a,b),c))),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f27,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,X2)) = '+'('+'(X1,X0),X2),
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f29,plain,
'+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))) != '+'(a,'+'(' = =>'(a,b),' = =>'(a,' = =>'(' = =>'(a,b),c)))),
inference(paramodulation,[status(thm)],[f10,f21]) ).
fof(f32,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,X2)) = '+'(X1,'+'(X2,X0)),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f43,plain,
! [X0,X1,X2] : ' = =>'(X0,' = =>'(X1,X2)) = ' = =>'(X1,' = =>'(X0,X2)),
inference(paramodulation,[status(thm)],[f20,f16]) ).
fof(f104,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X0,'+'(X1,X2))) = '+'(X2,'+'(X1,' = =>'('+'(X1,X2),X0))),
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f113,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X0,'+'(X1,X2))) = '+'('+'(X1,X2),' = =>'(X1,' = =>'(X2,X0))),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f115,plain,
! [X0,X1,X2] : '+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),X2)) = '+'(X2,' = =>'(X0,' = =>'(X2,X1))),
inference(paramodulation,[status(thm)],[f43,f17]) ).
fof(f128,plain,
'+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))) != '+'(c,' = =>'(c,'+'(' = =>'(a,b),a))),
inference(backward_demodulation,[status(thm)],[f129,f29]) ).
fof(f129,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X0,'+'(X1,X2))) = '+'(X2,'+'(X1,' = =>'(X2,' = =>'(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f20,f104]) ).
fof(f136,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X0,'+'(X1,X2))) = '+'(X2,'+'(X1,' = =>'(X1,' = =>'(X2,X0)))),
inference(forward_demodulation,[status(thm)],[f27,f113]) ).
fof(f155,plain,
'+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))) != '+'(c,' = =>'(c,'+'(a,' = =>'(a,b)))),
inference(forward_demodulation,[status(thm)],[f11,f128]) ).
fof(f195,plain,
! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X1,'+'(X2,X0)),
inference(paramodulation,[status(thm)],[f32,f11]) ).
fof(f249,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,X2)) = '+'('+'(X0,X2),X1),
inference(paramodulation,[status(thm)],[f11,f195]) ).
fof(f339,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,X2)) = '+'(X2,'+'(X1,X0)),
inference(paramodulation,[status(thm)],[f249,f195]) ).
fof(f457,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,X2)) = '+'(X0,'+'(X2,X1)),
inference(paramodulation,[status(thm)],[f339,f32]) ).
fof(f780,plain,
! [X0,X1,X2] : '+'(' = =>'(X0,X1),'+'(X0,' = =>'(X0,' = =>'(' = =>'(X0,X1),X2)))) = '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))),
inference(paramodulation,[status(thm)],[f17,f136]) ).
fof(f893,plain,
! [X0,X1,X2] : '+'(X0,'+'(' = =>'(X0,' = =>'(' = =>'(X0,X1),X2)),' = =>'(X0,X1))) = '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f32,f780]) ).
fof(f894,plain,
! [X0,X1,X2] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(X0,' = =>'(' = =>'(X0,X1),X2)))) = '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f457,f893]) ).
fof(f1021,plain,
! [X0,X1,X2,X3] : '+'(X0,' = =>'(X0,'+'(' = =>'(X1,X2),X3))) = '+'(X3,'+'(' = =>'(X3,X0),' = =>'(X1,' = =>'(' = =>'(X3,X0),X2)))),
inference(paramodulation,[status(thm)],[f115,f136]) ).
fof(f1079,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X0,'+'(' = =>'(X1,X2),X1))) = '+'(X2,' = =>'(X2,'+'(X0,' = =>'(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f1021,f894]) ).
fof(f1125,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X0,'+'(X1,' = =>'(X1,X2)))) = '+'(X2,' = =>'(X2,'+'(X0,' = =>'(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f11,f1079]) ).
fof(f1126,plain,
$false,
inference(resolution,[status(thm)],[f1125,f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.06 % Problem : LCL897-10 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Apr 29 20:30:06 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.6.0
% 0.10/0.55 % Refutation found
% 0.10/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.24/0.58 % Elapsed time: 0.315452 seconds
% 2.24/0.58 % CPU time: 2.400518 seconds
% 2.24/0.58 % Total memory used: 34.062 MB
% 2.24/0.58 % Net memory used: 33.207 MB
%------------------------------------------------------------------------------