%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN079+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:15:10 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
big_f(f(a,b),f(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
big_f(f(b,c),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( ( big_f(Y,Z)
& big_f(X,Y) )
=> big_f(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,conjecture,
big_f(f(a,b),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
big_f(f(a,b),f(b,c)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
big_f(f(b,c),f(a,c)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X,Y,Z] :
( big_f(X,Z)
| ~ big_f(Y,Z)
| ~ big_f(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X,Z] :
( big_f(X,Z)
| ! [Y] :
( ~ big_f(Y,Z)
| ~ big_f(X,Y) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( big_f(X0,X2)
| ~ big_f(X1,X2)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
~ big_f(f(a,b),f(a,c)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0] :
( big_f(X0,f(a,c))
| ~ big_f(X0,f(b,c)) ),
inference(resolution,[status(thm)],[f7,f10]) ).
fof(f14,plain,
big_f(f(a,b),f(a,c)),
inference(resolution,[status(thm)],[f13,f6]) ).
fof(f15,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN079+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n018.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 10:44:45 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.084946 seconds
% 0.16/0.54 % CPU time: 0.071252 seconds
% 0.16/0.54 % Total memory used: 1.726 MB
% 0.16/0.54 % Net memory used: 1.721 MB
%------------------------------------------------------------------------------