%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:09:03 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.54s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 44 ( 44 !; 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(thm)],[f1]) ).
fof(f11,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [X0,X1,X2] : ' = =>'('+'(X0,X1),X2) = ' = =>'(X0,' = =>'(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
! [X0,X1] : '+'(X0,' = =>'(X0,X1)) = '+'(X1,' = =>'(X1,X0)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f29,plain,
'+'(a,'+'(' = =>'(a,b),' = =>'('+'(a,' = =>'(a,b)),c))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(forward_demodulation,[status(thm)],[f10,f18]) ).
fof(f30,plain,
'+'(a,'+'(' = =>'(a,b),' = =>'(a,' = =>'(' = =>'(a,b),c)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(forward_demodulation,[status(thm)],[f16,f29]) ).
fof(f45,plain,
! [X0,X1,X2] : ' = =>'('+'(X0,X1),X2) = ' = =>'(X1,' = =>'(X0,X2)),
inference(paramodulation,[status(thm)],[f11,f16]) ).
fof(f56,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,' = =>'('+'(X0,X1),X2))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(paramodulation,[status(thm)],[f10,f17]) ).
fof(f60,plain,
! [X0,X1,X2] : '+'('+'(X0,X1),' = =>'(X0,' = =>'(X1,X2))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f74,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,' = =>'(X1,' = =>'(X0,X2)))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(forward_demodulation,[status(thm)],[f45,f56]) ).
fof(f76,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,' = =>'(X0,' = =>'(X1,X2)))) = '+'(X2,' = =>'(X2,'+'(X0,X1))),
inference(forward_demodulation,[status(thm)],[f10,f60]) ).
fof(f210,plain,
! [X0,X1,X2] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),X2))) = '+'(X1,' = =>'(X1,'+'(X0,X2))),
inference(paramodulation,[status(thm)],[f17,f74]) ).
fof(f229,plain,
! [X0,X1,X2] : '+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),' = =>'(X0,X2)))) = '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))),
inference(paramodulation,[status(thm)],[f17,f74]) ).
fof(f285,plain,
! [X0,X1,X2] : '+'(X0,' = =>'(X0,'+'(X1,' = =>'(X1,X2)))) = '+'(X2,' = =>'(X2,'+'(X0,' = =>'(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f210,f229]) ).
fof(f425,plain,
'+'(c,' = =>'(c,'+'(a,' = =>'(a,b)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(paramodulation,[status(thm)],[f76,f30]) ).
fof(f499,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f425,f285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 01:15:43 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.14/0.54 % Refutation found
% 0.14/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.55 % Elapsed time: 0.190134 seconds
% 0.14/0.55 % CPU time: 1.294959 seconds
% 0.14/0.55 % Total memory used: 22.825 MB
% 0.14/0.55 % Net memory used: 22.404 MB
%------------------------------------------------------------------------------