TSTP Solution File: LCL897-10 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n012.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 12:20:48 EDT 2023
% Result : Unsatisfiable 21.28s 3.13s
% Output : CNFRefutation 21.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 67 (; 67 !; 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(f19,plain,
'+'(a,'+'(' = =>'(a,b),' = =>'('+'(a,' = =>'(a,b)),c))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(forward_demodulation,[status(thm)],[f10,f18]) ).
fof(f20,plain,
'+'(a,'+'(' = =>'(a,b),' = =>'(a,' = =>'(' = =>'(a,b),c)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(forward_demodulation,[status(thm)],[f16,f19]) ).
fof(f50,plain,
! [X0,X1,X2] : ' = =>'('+'(X0,X1),X2) = ' = =>'(X1,' = =>'(X0,X2)),
inference(paramodulation,[status(thm)],[f11,f16]) ).
fof(f51,plain,
! [X0,X1,X2] : ' = =>'(X0,' = =>'(X1,X2)) = ' = =>'(X1,' = =>'(X0,X2)),
inference(forward_demodulation,[status(thm)],[f16,f50]) ).
fof(f148,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,' = =>'('+'(X0,X1),X2))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(paramodulation,[status(thm)],[f10,f17]) ).
fof(f149,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,' = =>'(X0,' = =>'(X1,X2)))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(forward_demodulation,[status(thm)],[f16,f148]) ).
fof(f158,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X1,' = =>'(X0,X2))) = '+'(' = =>'(X1,X2),' = =>'(' = =>'(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f51,f17]) ).
fof(f188,plain,
! [X0,X1,X2] : '+'('+'(X0,' = =>'(X0,X1)),X2) = '+'(X1,'+'(' = =>'(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f17,f10]) ).
fof(f189,plain,
! [X0,X1,X2] : '+'(X0,'+'(' = =>'(X0,X1),X2)) = '+'(X1,'+'(' = =>'(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f10,f188]) ).
fof(f268,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,' = =>'(X1,' = =>'(X0,X2)))) = '+'(X2,'+'(' = =>'(X2,X0),' = =>'(' = =>'(X0,X2),X1))),
inference(paramodulation,[status(thm)],[f17,f189]) ).
fof(f1618,plain,
! [X0,X1,X2] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(X0,' = =>'(' = =>'(X0,X1),X2)))) = '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))),
inference(paramodulation,[status(thm)],[f17,f149]) ).
fof(f1625,plain,
'+'(c,' = =>'(c,'+'(a,' = =>'(a,b)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(paramodulation,[status(thm)],[f149,f20]) ).
fof(f5226,plain,
! [X0,X1,X2] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),X2))) = '+'(X1,' = =>'(X1,'+'(X0,X2))),
inference(paramodulation,[status(thm)],[f158,f149]) ).
fof(f11739,plain,
! [X0,X1,X2,X3] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(X2,' = =>'(' = =>'(X0,X1),X3)))) = '+'(X1,'+'(' = =>'(X1,X0),' = =>'(' = =>'(X0,X1),' = =>'(X2,X3)))),
inference(paramodulation,[status(thm)],[f158,f268]) ).
fof(f11742,plain,
! [X0,X1,X2] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),X2))) = '+'(X1,'+'(' = =>'(X1,X0),' = =>'(' = =>'(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f17,f268]) ).
fof(f11743,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X0,'+'(X1,X2))) = '+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X1,X0),X2))),
inference(forward_demodulation,[status(thm)],[f5226,f11742]) ).
fof(f13221,plain,
! [X0,X1,X2,X3] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(X2,' = =>'(' = =>'(X0,X1),X3)))) = '+'(X1,' = =>'(X1,'+'(X0,' = =>'(X2,X3)))),
inference(backward_demodulation,[status(thm)],[f11743,f11739]) ).
fof(f13234,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X0,'+'(X1,' = =>'(X1,X2)))) = '+'(X2,' = =>'(X2,'+'(X0,' = =>'(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f13221,f1618]) ).
fof(f13235,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f1625,f13234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL897-10 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 09:42:40 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % Drodi V3.5.1
% 21.28/3.13 % Refutation found
% 21.28/3.13 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.28/3.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 22.29/3.20 % Elapsed time: 2.860041 seconds
% 22.29/3.20 % CPU time: 22.003283 seconds
% 22.29/3.20 % Memory used: 131.948 MB
%------------------------------------------------------------------------------