%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN382+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 03:15:56 PM UTC 2026
% Result : Theorem 0.14s 10.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 2 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 13 |; 6 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 34 ( 25 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [Z] :
? [X] :
( big_q(X,Z)
| ! [Y] : big_p(X,Y) )
=> ! [Y] :
? [X] :
( big_q(X,Y)
| big_p(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [Z] :
? [X] :
( big_q(X,Z)
| ! [Y] : big_p(X,Y) )
=> ! [Y] :
? [X] :
( big_q(X,Y)
| big_p(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [Y] :
! [X] :
( ~ big_q(X,Y)
& ~ big_p(X,Y) )
& ! [Z] :
? [X] :
( big_q(X,Z)
| ! [Y] : big_p(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ? [Y] :
( ! [X] : ~ big_q(X,Y)
& ! [X] : ~ big_p(X,Y) )
& ( ! [Z] :
? [X] : big_q(X,Z)
| ? [X] :
! [Y] : big_p(X,Y) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [X] : ~ big_q(X,sK2_skl)
& ! [X] : ~ big_p(X,sK2_skl)
& ( ! [Z] : big_q(sK1_skl(Z),Z)
| ! [Y] : big_p(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Z)),skolemize(Y,sK2_skl)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_q(sK1_skl(X1),X1)
| big_p(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0] : ~ big_p(X0,sK2_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0] : ~ big_q(X0,sK2_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,definition,
! [X0] :
( sQ0_spl
<=> big_p(sK0_skl,X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f10,plain,
! [X0] :
( ~ sQ0_spl
| big_p(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,definition,
! [X1] :
( sQ1_spl
<=> big_q(sK1_skl(X1),X1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f13,plain,
! [X0] :
( ~ sQ1_spl
| big_q(sK1_skl(X0),X0) ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f9,f12]) ).
fof(f16,plain,
( ~ sQ0_spl
| $false ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f17,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f16]) ).
fof(f18,plain,
( ~ sQ1_spl
| $false ),
inference(resolution,[status(thm)],[f13,f8]) ).
fof(f19,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f18]) ).
fof(f20,plain,
$false,
inference(sat_refutation,[status(thm)],[f15,f17,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN382+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n008.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Mon Sep 21 10:53:54 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 % Drodi V4.1.1
% 0.14/10.40 % Refutation found
% 0.14/10.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.43 % Elapsed time: 0.044214 seconds
% 0.14/10.43 % CPU time: 0.106000 seconds
% 0.14/10.43 % Total memory used: 16.436 MB
% 0.14/10.43 % Net memory used: 15.810 MB
%------------------------------------------------------------------------------