%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Theorem 0.14s 0.64s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 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,conjecture,
'+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c)) = '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
'+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c)) != '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0,X1,X2] : '==>'('+'(X0,X1),X2) = '==>'(X0,'==>'(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
'+'('+'(a,'==>'(a,b)),'==>'('+'(a,'==>'(a,b)),c)) != '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f30,plain,
'+'(a,'+'('==>'(a,b),'==>'('+'(a,'==>'(a,b)),c))) != '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
inference(forward_demodulation,[status(thm)],[f11,f19]) ).
fof(f31,plain,
'+'(a,'+'('==>'(a,b),'==>'(a,'==>'('==>'(a,b),c)))) != '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
inference(forward_demodulation,[status(thm)],[f17,f30]) ).
fof(f46,plain,
! [X0,X1,X2] : '==>'('+'(X0,X1),X2) = '==>'(X1,'==>'(X0,X2)),
inference(paramodulation,[status(thm)],[f12,f17]) ).
fof(f57,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,'==>'('+'(X0,X1),X2))) = '+'(X2,'==>'(X2,'+'(X0,X1))),
inference(paramodulation,[status(thm)],[f11,f18]) ).
fof(f61,plain,
! [X0,X1,X2] : '+'('+'(X0,X1),'==>'(X0,'==>'(X1,X2))) = '+'(X2,'==>'(X2,'+'(X0,X1))),
inference(paramodulation,[status(thm)],[f17,f18]) ).
fof(f75,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,'==>'(X1,'==>'(X0,X2)))) = '+'(X2,'==>'(X2,'+'(X0,X1))),
inference(forward_demodulation,[status(thm)],[f46,f57]) ).
fof(f77,plain,
! [X0,X1,X2] : '+'(X0,'+'(X1,'==>'(X0,'==>'(X1,X2)))) = '+'(X2,'==>'(X2,'+'(X0,X1))),
inference(forward_demodulation,[status(thm)],[f11,f61]) ).
fof(f211,plain,
! [X0,X1,X2] : '+'(X0,'+'('==>'(X0,X1),'==>'('==>'(X0,X1),X2))) = '+'(X1,'==>'(X1,'+'(X0,X2))),
inference(paramodulation,[status(thm)],[f18,f75]) ).
fof(f230,plain,
! [X0,X1,X2] : '+'(X0,'+'('==>'(X0,X1),'==>'('==>'(X0,X1),'==>'(X0,X2)))) = '+'(X2,'==>'(X2,'+'(X1,'==>'(X1,X0)))),
inference(paramodulation,[status(thm)],[f18,f75]) ).
fof(f286,plain,
! [X0,X1,X2] : '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))) = '+'(X2,'==>'(X2,'+'(X0,'==>'(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f211,f230]) ).
fof(f426,plain,
'+'(c,'==>'(c,'+'(a,'==>'(a,b)))) != '+'(a,'==>'(a,'+'(b,'==>'(b,c)))),
inference(paramodulation,[status(thm)],[f77,f31]) ).
fof(f500,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f426,f286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n009.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Mon Sep 21 01:09:58 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.55 % Drodi V4.1.1
% 0.14/0.64 % Refutation found
% 0.14/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.64 % Elapsed time: 0.095831 seconds
% 0.14/0.64 % CPU time: 0.633823 seconds
% 0.14/0.64 % Total memory used: 18.137 MB
% 0.14/0.64 % Net memory used: 17.827 MB
%------------------------------------------------------------------------------