%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN341+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 : n011.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 03:15:48 PM UTC 2026
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 0 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 24 ( 16 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X1] :
! [X2] :
? [X3] :
! [X4] :
( big_f(X1,X2,X3)
=> big_f(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X1] :
! [X2] :
? [X3] :
! [X4] :
( big_f(X1,X2,X3)
=> big_f(X2,X3,X4) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X1] :
? [X2] :
! [X3] :
? [X4] :
( ~ big_f(X2,X3,X4)
& big_f(X1,X2,X3) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [X1] :
? [X2] :
( ! [X3] :
? [X4] : ~ big_f(X2,X3,X4)
& ! [X3] : big_f(X1,X2,X3) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
! [X1] :
( ! [X3] : ~ big_f(sK0_skl(X1),X3,sK1_skl(X3,X1))
& ! [X3] : big_f(X1,sK0_skl(X1),X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X2,sK0_skl(X1)),skolemize(X4,sK1_skl(X3,X1))],[f4]) ).
fof(f6,plain,
! [X0,X1] : big_f(X0,sK0_skl(X0),X1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1] : ~ big_f(sK0_skl(X0),X1,sK1_skl(X1,X0)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
$false,
inference(resolution,[status(thm)],[f7,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN341+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n011.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 10:50:25 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.54 % Elapsed time: 0.074832 seconds
% 0.24/0.54 % CPU time: 0.061340 seconds
% 0.24/0.54 % Total memory used: 512.672 KB
% 0.24/0.54 % Net memory used: 495.632 KB
%------------------------------------------------------------------------------