%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET116-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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 02:09:24 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 9 unt; 2 def)
% Number of atoms : 33 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,axiom,
! [X] :
( first(X) = X
| ordered_pair(first(X),second(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f157,axiom,
! [X] :
( second(X) = X
| ordered_pair(first(X),second(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f160,negated_conjecture,
ordered_pair(first(x),second(x)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f161,negated_conjecture,
second(x) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f350,plain,
! [X0] :
( first(X0) = X0
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f351,plain,
! [X0] :
( second(X0) = X0
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f354,plain,
ordered_pair(first(x),second(x)) != x,
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f355,plain,
second(x) != x,
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f359,plain,
first(x) = x,
inference(resolution,[status(thm)],[f350,f354]) ).
fof(f371,plain,
ordered_pair(x,second(x)) != x,
inference(backward_demodulation,[status(thm)],[f359,f354]) ).
fof(f373,definition,
( sQ2_spl
<=> ordered_pair(x,second(x)) = x ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ2_spl
| ordered_pair(x,second(x)) = x ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f386,plain,
( second(x) = x
| ordered_pair(x,second(x)) = x ),
inference(paramodulation,[status(thm)],[f359,f351]) ).
fof(f390,definition,
( sQ4_spl
<=> second(x) = x ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ4_spl
| second(x) = x ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f386,f373,f390]) ).
fof(f394,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f371]) ).
fof(f395,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f394]) ).
fof(f396,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f355]) ).
fof(f397,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f396]) ).
fof(f398,plain,
$false,
inference(sat_refutation,[status(thm)],[f393,f395,f397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET116-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.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 04:56:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.45 % Elapsed time: 0.084949 seconds
% 0.18/0.45 % CPU time: 0.112914 seconds
% 0.18/0.45 % Total memory used: 3.376 MB
% 0.18/0.45 % Net memory used: 3.374 MB
%------------------------------------------------------------------------------