%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN976+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 03:18:37 PM UTC 2026
% Result : Theorem 0.11s 0.57s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 25 ( 5 ~; 5 |; 13 &)
% ( 0 <=>; 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 : 12 ( 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( ! [X] :
( q(X)
& p(X) )
& ( g
| f ) )
=> q(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( ! [X] :
( q(X)
& p(X) )
& ( g
| f ) )
=> q(A) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [A] :
( ~ q(A)
& ! [X] :
( q(X)
& p(X) )
& ( g
| f ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ? [A] : ~ q(A)
& ! [X] : q(X)
& ! [X] : p(X)
& ( g
| f ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ~ q(sK0_skl)
& ! [X] : q(X)
& ! [X] : p(X)
& ( g
| f ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(A,sK0_skl)],[f4]) ).
fof(f8,plain,
! [X0] : q(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
~ q(sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f9,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN976+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.54 % Computer : n002.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Mon Sep 21 11:34:20 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.11/0.55 % Drodi V4.1.1
% 0.11/0.57 % Refutation found
% 0.11/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.59 % Elapsed time: 0.044662 seconds
% 0.15/0.59 % CPU time: 0.114149 seconds
% 0.15/0.59 % Total memory used: 16.446 MB
% 0.15/0.59 % Net memory used: 15.827 MB
%------------------------------------------------------------------------------