%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN682-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:17:04 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : CNFRefutation 0.13s
% 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(f7,negated_conjecture,
! [X28] : p2(X28,X28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X96] : ~ p2(X96,f18(X96,f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X29,X30,X28] :
( ~ p2(X28,X30)
| ~ p2(X28,X29)
| p2(X29,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [X36] :
( ~ p25(c32,X36)
| ~ p25(X36,c36)
| p2(f11(f4(X36),c34),f11(f4(c32),c34)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f67,plain,
p25(c33,c36),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f69,plain,
p25(c32,c33),
inference(cnf_transformation,[status(thm)],[f14]) ).
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(f107,plain,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f125,plain,
! [X0] :
( ~ p25(c32,X0)
| ~ p25(X0,c36)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f135,plain,
! [X0,X1] :
( ~ p2(X0,f18(X1,f9(f17(c31))))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f92,f74]) ).
fof(f143,plain,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(resolution,[status(thm)],[f107,f135]) ).
fof(f154,plain,
! [X0] :
( ~ p2(X0,f11(f4(c33),c34))
| ~ p2(X0,f11(f4(c32),c34)) ),
inference(resolution,[status(thm)],[f143,f92]) ).
fof(f339,plain,
~ p2(f11(f4(c33),c34),f11(f4(c32),c34)),
inference(resolution,[status(thm)],[f154,f62]) ).
fof(f379,plain,
( ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(resolution,[status(thm)],[f339,f125]) ).
fof(f383,definition,
( sQ7_spl
<=> p25(c33,c36) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( sQ7_spl
| ~ p25(c33,c36) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ8_spl
<=> p25(c32,c33) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( sQ8_spl
| ~ p25(c32,c33) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f379,f383,f386]) ).
fof(f398,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f388,f69]) ).
fof(f399,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f67]) ).
fof(f401,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f400]) ).
fof(f402,plain,
$false,
inference(sat_refutation,[status(thm)],[f389,f399,f401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN682-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.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
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:14:29 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.49 % Elapsed time: 0.116529 seconds
% 0.13/0.49 % CPU time: 0.274220 seconds
% 0.13/0.49 % Total memory used: 8.264 MB
% 0.13/0.49 % Net memory used: 7.885 MB
%------------------------------------------------------------------------------