%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN660-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 03:17:01 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 15 unt; 2 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
! [X35] : p2(X35,X35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X96] : ~ p2(X96,f16(X96,f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X36,X37,X35] :
( ~ p2(X35,X37)
| ~ p2(X35,X36)
| p2(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [X43] :
( ~ p25(c32,X43)
| ~ p25(X43,c36)
| p2(f11(f4(X43),c34),f11(f4(c32),c34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f66,plain,
p25(c33,c36),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f68,plain,
p25(c32,c33),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f73,plain,
! [X0] : ~ p2(X0,f16(X0,f9(f17(c31)))),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f88,plain,
! [X37,X35] :
( ~ p2(X35,X37)
| ! [X36] :
( ~ p2(X35,X36)
| p2(X36,X37) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f106,plain,
p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f123,plain,
! [X0] :
( ~ p25(c32,X0)
| ~ p25(X0,c36)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f131,plain,
! [X0,X1] :
( ~ p2(X0,f16(X1,f9(f17(c31))))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f89,f73]) ).
fof(f134,plain,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(resolution,[status(thm)],[f106,f131]) ).
fof(f146,plain,
! [X0] :
( ~ p2(X0,f11(f4(c33),c34))
| ~ p2(X0,f11(f4(c32),c34)) ),
inference(resolution,[status(thm)],[f134,f89]) ).
fof(f282,plain,
~ p2(f11(f4(c33),c34),f11(f4(c32),c34)),
inference(resolution,[status(thm)],[f146,f60]) ).
fof(f283,plain,
( ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(resolution,[status(thm)],[f282,f123]) ).
fof(f287,definition,
( sQ3_spl
<=> p25(c33,c36) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ3_spl
| ~ p25(c33,c36) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,definition,
( sQ4_spl
<=> p25(c32,c33) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( sQ4_spl
| ~ p25(c32,c33) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f283,f287,f290]) ).
fof(f302,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f68]) ).
fof(f303,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f66]) ).
fof(f305,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f306,plain,
$false,
inference(sat_refutation,[status(thm)],[f293,f303,f305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN660-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:12:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.055944 seconds
% 0.14/0.41 % CPU time: 0.199498 seconds
% 0.14/0.41 % Total memory used: 19.530 MB
% 0.14/0.41 % Net memory used: 19.201 MB
%------------------------------------------------------------------------------