%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN733+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 : 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 03:17:12 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 2 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 45 ( 16 ~; 15 |; 10 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 22 ( 16 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X] :
? [Y] :
( ( q(X)
| q(Y) )
& p(X) )
=> ? [Z] :
( q(Z)
& p(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [X] :
? [Y] :
( ( q(X)
| q(Y) )
& p(X) )
=> ? [Z] :
( q(Z)
& p(Z) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [Z] :
( ~ q(Z)
| ~ p(Z) )
& ! [X] :
? [Y] :
( ( q(X)
| q(Y) )
& p(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Z] :
( ~ q(Z)
| ~ p(Z) )
& ( ! [X] : q(X)
| ? [Y] : q(Y) )
& ! [X] : p(X) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [Z] :
( ~ q(Z)
| ~ p(Z) )
& ( ! [X] : q(X)
| q(sK0_skl) )
& ! [X] : p(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f4]) ).
fof(f6,plain,
! [X0] : p(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0] :
( q(X0)
| q(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0] :
( ~ q(X0)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,definition,
( sQ0_spl
<=> q(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f10,plain,
( ~ sQ0_spl
| q(sK0_skl) ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,definition,
! [X0] :
( sQ1_spl
<=> q(X0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f13,plain,
! [X0] :
( ~ sQ1_spl
| q(X0) ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f9,f12]) ).
fof(f16,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f10,f17]) ).
fof(f17,plain,
! [X0] : ~ q(X0),
inference(forward_subsumption_resolution,[status(thm)],[f8,f6]) ).
fof(f18,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13,f17]) ).
fof(f20,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f19]) ).
fof(f21,plain,
$false,
inference(sat_refutation,[status(thm)],[f15,f18,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN733+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % 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 11:15:47 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 Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.041304 seconds
% 0.10/0.42 % CPU time: 0.106552 seconds
% 0.10/0.42 % Total memory used: 16.437 MB
% 0.10/0.42 % Net memory used: 15.808 MB
%------------------------------------------------------------------------------