%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN381+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 5.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 39 ( 10 ~; 13 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,Z)
| big_q(Z,W) ) )
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) ) )
=> ! [Z] : big_p(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,Z)
| big_q(Z,W) ) )
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) ) )
=> ! [Z] : big_p(Z) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [Z] : ~ big_p(Z)
& ! [W,Z] :
( big_q(Z,Z)
| big_q(Z,W)
| ~ big_q(W,Z) )
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( big_p(X)
| ! [Y] : ~ big_q(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ~ big_p(sK1_skl)
& ! [W,Z] :
( big_q(Z,Z)
| big_q(Z,W)
| ~ big_q(W,Z) )
& ! [V] : big_q(sK0_skl(V),V)
& ! [X] :
( big_p(X)
| ! [Y] : ~ big_q(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(U,sK0_skl(V)),skolemize(Z,sK1_skl)],[f3]) ).
fof(f5,plain,
! [X0,X1] :
( big_p(X0)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0] : big_q(sK0_skl(X0),X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( big_q(X1,X1)
| big_q(X1,X0)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
~ big_p(sK1_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
! [X0] :
( big_q(X0,X0)
| big_q(X0,sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f12,plain,
! [X0] :
( big_p(X0)
| big_q(X0,X0) ),
inference(resolution,[status(thm)],[f10,f5]) ).
fof(f13,plain,
! [X0] : big_p(X0),
inference(forward_subsumption_resolution,[status(thm)],[f12,f5]) ).
fof(f15,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f8,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN381+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n018.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 10:54:20 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 0.14/5.40 % Refutation found
% 0.14/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.42 % Elapsed time: 0.038801 seconds
% 0.14/5.42 % CPU time: 0.110665 seconds
% 0.14/5.42 % Total memory used: 15.982 MB
% 0.14/5.42 % Net memory used: 15.402 MB
%------------------------------------------------------------------------------