%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN669-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 03:17:03 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.55s
% Output : CNFRefutation 0.19s
% 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/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(f18,negated_conjecture,
! [X96] : ~ p2(X96,f18(X96,f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X29,X30,X28] :
( ~ p2(X28,X30)
| ~ p2(X28,X29)
| p2(X29,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,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(f61,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f66,plain,
p25(c36,c33),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f67,plain,
p25(c32,c36),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f72,plain,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f89,plain,
! [X30,X28] :
( ~ p2(X28,X30)
| ! [X29] :
( ~ p2(X28,X29)
| p2(X29,X30) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f106,plain,
p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f122,plain,
! [X0] :
( ~ p25(c32,X0)
| ~ p25(X0,c33)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f131,plain,
! [X0,X1] :
( ~ p2(X0,f18(X1,f9(f17(c31))))
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f90,f72]) ).
fof(f156,plain,
~ p2(f11(f4(c32),c34),f11(f4(c36),c34)),
inference(resolution,[status(thm)],[f106,f131]) ).
fof(f173,plain,
! [X0] :
( ~ p2(X0,f11(f4(c36),c34))
| ~ p2(X0,f11(f4(c32),c34)) ),
inference(resolution,[status(thm)],[f156,f90]) ).
fof(f300,plain,
~ p2(f11(f4(c36),c34),f11(f4(c32),c34)),
inference(resolution,[status(thm)],[f173,f61]) ).
fof(f302,plain,
( ~ p25(c32,c36)
| ~ p25(c36,c33) ),
inference(resolution,[status(thm)],[f300,f122]) ).
fof(f308,definition,
( sQ12_spl
<=> p25(c32,c36) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( sQ12_spl
| ~ p25(c32,c36) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f312,definition,
( sQ13_spl
<=> p25(c36,c33) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ13_spl
| ~ p25(c36,c33) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f302,f312,f308]) ).
fof(f320,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f310,f67]) ).
fof(f321,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f66]) ).
fof(f323,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f322]) ).
fof(f324,plain,
$false,
inference(sat_refutation,[status(thm)],[f315,f321,f323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN669-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n010.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 11:11:55 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.55 % Refutation found
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.58 % Elapsed time: 0.112165 seconds
% 0.19/0.58 % CPU time: 0.496983 seconds
% 0.19/0.58 % Total memory used: 23.796 MB
% 0.19/0.58 % Net memory used: 22.909 MB
%------------------------------------------------------------------------------