%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD055-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:22:04 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 11 unt; 3 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 38 ~; 41 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X,Z,Y] :
( ~ less_or_equal(Y,Z)
| ~ less_or_equal(X,Y)
| less_or_equal(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| less_or_equal(Y,X)
| less_or_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( ~ equalish(Y,X)
| equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [Y,Z,X] :
( ~ equalish(X,Y)
| ~ less_or_equal(X,Z)
| less_or_equal(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
equalish(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ less_or_equal(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,plain,
! [Z,Y] :
( ~ less_or_equal(Y,Z)
| ! [X] :
( ~ less_or_equal(X,Y)
| less_or_equal(X,Z) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| less_or_equal(Y,X)
| less_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f60,plain,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f66,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f73,plain,
! [Y,X] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ less_or_equal(X,Z)
| less_or_equal(Y,Z) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X0)
| ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f78,plain,
defined(c),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f79,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f80,plain,
equalish(b,c),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f81,plain,
~ less_or_equal(a,c),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f82,plain,
! [X0] :
( ~ less_or_equal(b,X0)
| less_or_equal(a,X0) ),
inference(resolution,[status(thm)],[f58,f79]) ).
fof(f85,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(c,X0)
| less_or_equal(X0,c) ),
inference(resolution,[status(thm)],[f60,f78]) ).
fof(f109,plain,
( less_or_equal(c,c)
| ~ defined(c)
| less_or_equal(c,c) ),
inference(resolution,[status(thm)],[f85,f58]) ).
fof(f113,definition,
( sQ2_spl
<=> less_or_equal(a,c) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ2_spl
| less_or_equal(a,c) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f120,definition,
( sQ4_spl
<=> less_or_equal(c,c) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ4_spl
| less_or_equal(c,c) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ5_spl
<=> defined(c) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( sQ5_spl
| ~ defined(c) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f109,f120,f123]) ).
fof(f130,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f81]) ).
fof(f131,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f130]) ).
fof(f132,plain,
! [X0] :
( ~ sQ4_spl
| ~ equalish(c,X0)
| less_or_equal(X0,c) ),
inference(resolution,[status(thm)],[f121,f74]) ).
fof(f141,plain,
! [X0] :
( ~ sQ4_spl
| ~ equalish(X0,c)
| less_or_equal(X0,c) ),
inference(resolution,[status(thm)],[f132,f66]) ).
fof(f153,plain,
( ~ sQ4_spl
| less_or_equal(b,c) ),
inference(resolution,[status(thm)],[f141,f80]) ).
fof(f169,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f78]) ).
fof(f170,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( ~ sQ4_spl
| less_or_equal(a,c) ),
inference(resolution,[status(thm)],[f153,f82]) ).
fof(f177,plain,
( ~ sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f172,f113,f120]) ).
fof(f178,plain,
$false,
inference(sat_refutation,[status(thm)],[f126,f131,f170,f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD055-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 15:42:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.052622 seconds
% 0.10/0.44 % CPU time: 0.173791 seconds
% 0.10/0.44 % Total memory used: 18.232 MB
% 0.10/0.44 % Net memory used: 17.970 MB
%------------------------------------------------------------------------------