%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN936+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 : 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 03:18:21 PM UTC 2026
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 61 ( 22 ~; 23 |; 9 &)
% ( 2 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X] :
( c
=> p(X) )
<=> ( c
=> ! [X] : p(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [X] :
( c
=> p(X) )
<=> ( c
=> ! [X] : p(X) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X] :
( p(X)
| ~ c )
<~> ( ! [X] : p(X)
| ~ c ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( ( ? [X] : ~ p(X)
& c )
| ? [X] :
( ~ p(X)
& c ) )
& ( ! [X] : p(X)
| ~ c
| ! [X] :
( p(X)
| ~ c ) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
( ( ( ? [X] : ~ p(X)
& c )
| ( ? [X] : ~ p(X)
& c ) )
& ( ! [X] : p(X)
| ~ c
| ! [X] : p(X)
| ~ c ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f6,plain,
( ( ( ~ p(sK1_skl)
& c )
| ( ~ p(sK0_skl)
& c ) )
& ( ! [X] : p(X)
| ~ c
| ! [X] : p(X)
| ~ c ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl)],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( p(X1)
| ~ c
| p(X0)
| ~ c ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
( c
| c ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f11,plain,
( ~ p(sK1_skl)
| ~ p(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f12,plain,
! [X0,X1] :
( p(X1)
| p(X0)
| ~ c ),
inference(duplicate_literals_removal,[status(thm)],[f7]) ).
fof(f13,plain,
c,
inference(duplicate_literals_removal,[status(thm)],[f8]) ).
fof(f14,plain,
! [X0,X1] :
( p(X1)
| p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f12,f13]) ).
fof(f15,plain,
! [X0] :
( p(X0)
| ~ p(sK0_skl) ),
inference(resolution,[status(thm)],[f11,f14]) ).
fof(f16,plain,
! [X0] : p(X0),
inference(forward_subsumption_resolution,[status(thm)],[f15,f14]) ).
fof(f17,plain,
~ p(sK1_skl),
inference(backward_subsumption_resolution,[status(thm)],[f11,f16]) ).
fof(f18,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f17,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN936+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:32:01 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.025666 seconds
% 0.13/0.39 % CPU time: 0.033355 seconds
% 0.13/0.39 % Total memory used: 1.545 MB
% 0.13/0.39 % Net memory used: 1.495 MB
%------------------------------------------------------------------------------