%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN683-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:17:05 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 15 unt; 3 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X28] : p2(X28,X28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p25(c36,c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
p25(c32,c36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X96] : ~ p2(X96,f18(X96,f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X29,X30,X28] :
( ~ p2(X28,X30)
| ~ p2(X28,X29)
| p2(X29,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [X35] :
( ~ p25(c32,X35)
| ~ p25(X35,c33)
| p2(f11(f4(X35),c34),f11(f4(c32),c34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f67,plain,
p25(c36,c33),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f68,plain,
p25(c32,c36),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f74,plain,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f91,plain,
! [X30,X28] :
( ~ p2(X28,X30)
| ! [X29] :
( ~ p2(X28,X29)
| p2(X29,X30) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f108,plain,
p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f124,plain,
! [X0] :
( ~ p25(c32,X0)
| ~ p25(X0,c33)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f133,plain,
! [X0,X1] :
( ~ p2(X0,f18(X1,f9(f17(c31))))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f92,f74]) ).
fof(f136,plain,
~ p2(f11(f4(c32),c34),f11(f4(c36),c34)),
inference(resolution,[status(thm)],[f133,f108]) ).
fof(f147,plain,
! [X0] :
( ~ p2(X0,f11(f4(c36),c34))
| ~ p2(X0,f11(f4(c32),c34)) ),
inference(resolution,[status(thm)],[f136,f92]) ).
fof(f222,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(c36),c34))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c32),c34)) ),
inference(resolution,[status(thm)],[f147,f92]) ).
fof(f263,plain,
! [X0] :
( ~ p2(f11(f4(c36),c34),X0)
| ~ p2(X0,f11(f4(c32),c34)) ),
inference(resolution,[status(thm)],[f222,f62]) ).
fof(f265,plain,
( ~ p25(c32,c36)
| ~ p25(c36,c33)
| ~ p2(f11(f4(c32),c34),f11(f4(c32),c34)) ),
inference(resolution,[status(thm)],[f263,f124]) ).
fof(f269,definition,
( sQ6_spl
<=> p2(f11(f4(c32),c34),f11(f4(c32),c34)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( sQ6_spl
| ~ p2(f11(f4(c32),c34),f11(f4(c32),c34)) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f275,definition,
( sQ8_spl
<=> p25(c32,c36) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( sQ8_spl
| ~ p25(c32,c36) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f279,definition,
( sQ9_spl
<=> p25(c36,c33) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( sQ9_spl
| ~ p25(c36,c33) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f265,f269,f279,f275]) ).
fof(f283,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f68]) ).
fof(f284,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f271,f62]) ).
fof(f286,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f67]) ).
fof(f288,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f287]) ).
fof(f289,plain,
$false,
inference(sat_refutation,[status(thm)],[f282,f284,f286,f288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN683-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n017.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 11:07:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.066545 seconds
% 0.10/0.44 % CPU time: 0.270082 seconds
% 0.10/0.44 % Total memory used: 20.983 MB
% 0.10/0.44 % Net memory used: 20.411 MB
%------------------------------------------------------------------------------