%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 0.13s 5.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 13 unt; 3 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 32 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X,Y] :
( ~ less_or_equal(Y,X)
| ~ less_or_equal(X,Y)
| equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( ~ equalish(Y,X)
| equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Z,Y] :
( ~ equalish(Y,Z)
| ~ equalish(X,Y)
| equalish(X,Z) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
equalish(b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,plain,
! [X0,X1] :
( ~ less_or_equal(X1,X0)
| ~ less_or_equal(X0,X1)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f66,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f67,plain,
! [Z,Y] :
( ~ equalish(Y,Z)
| ! [X] :
( ~ equalish(X,Y)
| equalish(X,Z) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
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,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f79,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f80,plain,
~ equalish(a,additive_identity),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f81,plain,
equalish(b,additive_identity),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f82,plain,
( ~ less_or_equal(b,a)
| equalish(b,a) ),
inference(resolution,[status(thm)],[f56,f79]) ).
fof(f84,definition,
( sQ0_spl
<=> equalish(b,a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ0_spl
| equalish(b,a) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,definition,
( sQ1_spl
<=> less_or_equal(b,a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( sQ1_spl
| ~ less_or_equal(b,a) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f82,f84,f87]) ).
fof(f91,definition,
( sQ2_spl
<=> equalish(a,additive_identity) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ2_spl
| equalish(a,additive_identity) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f98,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f80]) ).
fof(f99,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f98]) ).
fof(f117,plain,
( ~ sQ0_spl
| equalish(a,b) ),
inference(resolution,[status(thm)],[f66,f85]) ).
fof(f118,plain,
equalish(additive_identity,b),
inference(resolution,[status(thm)],[f66,f81]) ).
fof(f130,plain,
! [X0] :
( ~ equalish(X0,b)
| equalish(X0,additive_identity) ),
inference(resolution,[status(thm)],[f68,f81]) ).
fof(f158,plain,
! [X0] :
( ~ less_or_equal(additive_identity,X0)
| less_or_equal(b,X0) ),
inference(resolution,[status(thm)],[f118,f74]) ).
fof(f184,plain,
( ~ sQ0_spl
| equalish(a,additive_identity) ),
inference(resolution,[status(thm)],[f130,f117]) ).
fof(f188,plain,
( ~ sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f184,f91,f84]) ).
fof(f236,plain,
less_or_equal(b,a),
inference(resolution,[status(thm)],[f158,f78]) ).
fof(f238,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f89]) ).
fof(f239,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f238]) ).
fof(f240,plain,
$false,
inference(sat_refutation,[status(thm)],[f90,f99,f188,f239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.41 % Computer : n005.cluster.edu
% 0.13/5.41 % Model : x86_64 x86_64
% 0.13/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.41 % Memory : 8046.5625MB
% 0.13/5.41 % OS : Linux 6.8.0-71-generic
% 0.13/5.41 % CPULimit : 300
% 0.13/5.41 % WCLimit : 300
% 0.13/5.41 % DateTime : Mon Sep 21 15:43:23 UTC 2026
% 0.13/5.41 % CPUTime :
% 0.13/5.42 % Drodi V4.1.1
% 0.13/5.45 % Refutation found
% 0.13/5.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.49 % Elapsed time: 0.062484 seconds
% 0.13/5.49 % CPU time: 0.237235 seconds
% 0.13/5.49 % Total memory used: 18.535 MB
% 0.13/5.49 % Net memory used: 18.297 MB
%------------------------------------------------------------------------------