%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN361+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 : n007.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 03:15:53 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 37 ( 15 ~; 6 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 33 ( 25 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X,Y] :
( big_p(X,Y)
=> ~ big_q(X,Y) )
& ! [X] :
( big_s(X)
=> ? [Y] : big_q(Y,X) )
& ? [V] :
! [X] : big_p(X,V) )
=> ? [U] : ~ big_s(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [X,Y] :
( big_p(X,Y)
=> ~ big_q(X,Y) )
& ! [X] :
( big_s(X)
=> ? [Y] : big_q(Y,X) )
& ? [V] :
! [X] : big_p(X,V) )
=> ? [U] : ~ big_s(U) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [U] : big_s(U)
& ! [X,Y] :
( ~ big_q(X,Y)
| ~ big_p(X,Y) )
& ! [X] :
( ? [Y] : big_q(Y,X)
| ~ big_s(X) )
& ? [V] :
! [X] : big_p(X,V) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [U] : big_s(U)
& ! [X,Y] :
( ~ big_q(X,Y)
| ~ big_p(X,Y) )
& ! [X] :
( big_q(sK1_skl(X),X)
| ~ big_s(X) )
& ! [X] : big_p(X,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(V,sK0_skl),skolemize(Y,sK1_skl(X))],[f3]) ).
fof(f5,plain,
! [X0] : big_p(X0,sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0] :
( big_q(sK1_skl(X0),X0)
| ~ big_s(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( ~ big_q(X0,X1)
| ~ big_p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0] : big_s(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
! [X0] : big_q(sK1_skl(X0),X0),
inference(forward_subsumption_resolution,[status(thm)],[f6,f8]) ).
fof(f10,plain,
! [X0] : ~ big_p(sK1_skl(X0),X0),
inference(resolution,[status(thm)],[f9,f7]) ).
fof(f11,plain,
$false,
inference(resolution,[status(thm)],[f10,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN361+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:49:36 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.047555 seconds
% 0.14/0.41 % CPU time: 0.140549 seconds
% 0.14/0.41 % Total memory used: 55.289 MB
% 0.14/0.41 % Net memory used: 54.648 MB
%------------------------------------------------------------------------------