%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD013-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:21:52 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 14 unt; 5 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 56 ~; 49 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| equalish(add(X,Y),add(Y,X)) ),
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(f24,axiom,
! [X,Z,Y] :
( ~ equalish(X,Y)
| ~ defined(Z)
| equalish(add(X,Z),add(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ equalish(add(a,c),add(d,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| equalish(add(X,Y),add(Y,X)) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f40,plain,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(add(X0,X1),add(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f68,plain,
! [Z,Y] :
( ~ equalish(Y,Z)
| ! [X] :
( ~ equalish(X,Y)
| equalish(X,Z) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [X,Y] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ defined(Z)
| equalish(add(X,Z),add(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(add(X0,X1),add(X2,X1)) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f78,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f79,plain,
defined(c),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f81,plain,
equalish(a,b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f82,plain,
equalish(c,d),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f83,plain,
~ equalish(add(a,c),add(d,b)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f85,plain,
! [X0] :
( ~ equalish(X0,add(d,b))
| ~ equalish(add(a,c),X0) ),
inference(resolution,[status(thm)],[f69,f83]) ).
fof(f90,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| ~ equalish(add(a,c),X1)
| ~ equalish(X0,add(d,b)) ),
inference(resolution,[status(thm)],[f85,f69]) ).
fof(f96,definition,
( sQ1_spl
<=> defined(c) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( sQ1_spl
| ~ defined(c) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f114,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f79]) ).
fof(f115,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f114]) ).
fof(f128,definition,
( sQ7_spl
<=> defined(b) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( sQ7_spl
| ~ defined(b) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f146,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f78]) ).
fof(f147,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( ~ equalish(a,X1)
| ~ defined(c)
| ~ equalish(add(X1,c),X0)
| ~ equalish(X0,add(d,b)) ),
inference(resolution,[status(thm)],[f90,f71]) ).
fof(f153,definition,
! [X0,X1] :
( sQ12_spl
<=> ( ~ equalish(a,X1)
| ~ equalish(add(X1,c),X0)
| ~ equalish(X0,add(d,b)) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f154,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ equalish(a,X1)
| ~ equalish(add(X1,c),X0)
| ~ equalish(X0,add(d,b)) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( ~ sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f148,f153,f96]) ).
fof(f388,plain,
! [X0] :
( ~ sQ12_spl
| ~ equalish(add(b,c),X0)
| ~ equalish(X0,add(d,b)) ),
inference(resolution,[status(thm)],[f154,f81]) ).
fof(f476,plain,
( ~ sQ12_spl
| ~ defined(c)
| ~ defined(b)
| ~ equalish(add(c,b),add(d,b)) ),
inference(resolution,[status(thm)],[f388,f40]) ).
fof(f484,definition,
( sQ54_spl
<=> equalish(add(c,b),add(d,b)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( sQ54_spl
| ~ equalish(add(c,b),add(d,b)) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( ~ sQ12_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f476,f484,f128,f96,f153]) ).
fof(f495,plain,
( sQ54_spl
| ~ equalish(c,d)
| ~ defined(b) ),
inference(resolution,[status(thm)],[f486,f71]) ).
fof(f498,definition,
( sQ57_spl
<=> equalish(c,d) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ57_spl
| ~ equalish(c,d) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( sQ54_spl
| ~ sQ57_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f495,f128,f498,f484]) ).
fof(f502,plain,
( sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f82]) ).
fof(f503,plain,
sQ57_spl,
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f504,plain,
$false,
inference(sat_refutation,[status(thm)],[f115,f147,f156,f487,f501,f503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD013-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n020.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 15:38:32 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.41 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.49 % Elapsed time: 0.083572 seconds
% 0.16/0.49 % CPU time: 0.237822 seconds
% 0.16/0.49 % Total memory used: 12.317 MB
% 0.16/0.49 % Net memory used: 12.093 MB
%------------------------------------------------------------------------------