%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN063-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 03:15:05 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 8 unt; 3 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 13 ~; 17 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y] :
( big_p(Y)
| big_p(c)
| big_p(X)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ big_p(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
big_p(a),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
( ! [Y] : big_p(Y)
| big_p(c)
| ! [X] : big_p(X)
| ~ big_p(a) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( big_p(X1)
| big_p(c)
| big_p(X0)
| ~ big_p(a) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
~ big_p(c),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,definition,
( sQ0_spl
<=> big_p(a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f20,plain,
( sQ0_spl
| ~ big_p(a) ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,definition,
! [X0] :
( sQ1_spl
<=> big_p(X0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f22,plain,
! [X0] :
( ~ sQ1_spl
| big_p(X0) ),
inference(component_clause,[status(thm)],[f21]) ).
fof(f24,definition,
( sQ2_spl
<=> big_p(c) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f25,plain,
( ~ sQ2_spl
| big_p(c) ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,plain,
( sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f18,f21,f24]) ).
fof(f41,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12,f22]) ).
fof(f42,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f41]) ).
fof(f43,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12,f25]) ).
fof(f44,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f43]) ).
fof(f45,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8,f20]) ).
fof(f46,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f45]) ).
fof(f47,plain,
$false,
inference(sat_refutation,[status(thm)],[f27,f42,f44,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN063-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.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 10:43:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.037358 seconds
% 0.10/0.41 % CPU time: 0.103844 seconds
% 0.10/0.41 % Total memory used: 13.993 MB
% 0.10/0.41 % Net memory used: 13.524 MB
%------------------------------------------------------------------------------