%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD025-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:21:55 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.41s
% Output : CNFRefutation 0.08s
% 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(f8,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| equalish(multiply(X,Y),multiply(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(f25,axiom,
! [X,Z,Y] :
( ~ equalish(X,Y)
| ~ defined(Z)
| equalish(multiply(X,Z),multiply(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(multiply(a,c),multiply(d,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| equalish(multiply(X,Y),multiply(Y,X)) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f46,plain,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(multiply(X0,X1),multiply(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
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(f72,plain,
! [X,Y] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ defined(Z)
| equalish(multiply(X,Z),multiply(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X2,X1)) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
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(multiply(a,c),multiply(d,b)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f85,plain,
! [X0] :
( ~ equalish(X0,multiply(d,b))
| ~ equalish(multiply(a,c),X0) ),
inference(resolution,[status(thm)],[f69,f83]) ).
fof(f89,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| ~ equalish(multiply(a,c),X1)
| ~ equalish(X0,multiply(d,b)) ),
inference(resolution,[status(thm)],[f85,f69]) ).
fof(f98,definition,
( sQ2_spl
<=> defined(c) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( sQ2_spl
| ~ defined(c) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f109,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f100,f79]) ).
fof(f110,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f109]) ).
fof(f123,definition,
( sQ7_spl
<=> defined(b) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( sQ7_spl
| ~ defined(b) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f134,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f78]) ).
fof(f135,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f134]) ).
fof(f199,plain,
! [X0,X1] :
( ~ equalish(a,X1)
| ~ defined(c)
| ~ equalish(multiply(X1,c),X0)
| ~ equalish(X0,multiply(d,b)) ),
inference(resolution,[status(thm)],[f89,f73]) ).
fof(f204,definition,
! [X0,X1] :
( sQ17_spl
<=> ( ~ equalish(a,X1)
| ~ equalish(multiply(X1,c),X0)
| ~ equalish(X0,multiply(d,b)) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f205,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ equalish(a,X1)
| ~ equalish(multiply(X1,c),X0)
| ~ equalish(X0,multiply(d,b)) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( ~ sQ2_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f199,f204,f98]) ).
fof(f410,plain,
! [X0] :
( ~ sQ17_spl
| ~ equalish(multiply(b,c),X0)
| ~ equalish(X0,multiply(d,b)) ),
inference(resolution,[status(thm)],[f205,f81]) ).
fof(f499,plain,
( ~ sQ17_spl
| ~ defined(c)
| ~ defined(b)
| ~ equalish(multiply(c,b),multiply(d,b)) ),
inference(resolution,[status(thm)],[f410,f46]) ).
fof(f507,definition,
( sQ54_spl
<=> equalish(multiply(c,b),multiply(d,b)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( sQ54_spl
| ~ equalish(multiply(c,b),multiply(d,b)) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( ~ sQ17_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f499,f507,f123,f98,f204]) ).
fof(f518,plain,
( sQ54_spl
| ~ equalish(c,d)
| ~ defined(b) ),
inference(resolution,[status(thm)],[f509,f73]) ).
fof(f521,definition,
( sQ57_spl
<=> equalish(c,d) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ57_spl
| ~ equalish(c,d) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( sQ54_spl
| ~ sQ57_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f518,f123,f521,f507]) ).
fof(f525,plain,
( sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f82]) ).
fof(f526,plain,
sQ57_spl,
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f527,plain,
$false,
inference(sat_refutation,[status(thm)],[f110,f135,f207,f510,f524,f526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD025-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 15:44:00 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.41 % Refutation found
% 0.08/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.44 % Elapsed time: 0.074056 seconds
% 0.12/0.44 % CPU time: 0.339133 seconds
% 0.12/0.44 % Total memory used: 16.890 MB
% 0.12/0.44 % Net memory used: 16.514 MB
%------------------------------------------------------------------------------