%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN731+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:17:12 PM UTC 2026
% Result : Theorem 0.23s 0.69s
% Output : CNFRefutation 0.23s
% 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 : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 25 ( 17 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [W] :
( ! [X] :
? [Y] : p(W,X,Y)
=> ? [Z] : p(Z,Z,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [W] :
( ! [X] :
? [Y] : p(W,X,Y)
=> ? [Z] : p(Z,Z,W) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [W] :
( ! [Z] : ~ p(Z,Z,W)
& ! [X] :
? [Y] : p(W,X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [W,Z] : ~ p(Z,Z,W)
& ! [W,X] :
? [Y] : p(W,X,Y) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [W,Z] : ~ p(Z,Z,W)
& ! [W,X] : p(W,X,sK0_skl(X,W)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X,W))],[f4]) ).
fof(f6,plain,
! [X0,X1] : p(X0,X1,sK0_skl(X1,X0)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1] : ~ p(X0,X0,X1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
$false,
inference(resolution,[status(thm)],[f6,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN731+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.66 % Computer : n017.cluster.edu
% 0.19/0.66 % Model : x86_64 x86_64
% 0.19/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.66 % Memory : 8046.5625MB
% 0.19/0.66 % OS : Linux 6.8.0-71-generic
% 0.19/0.66 % CPULimit : 300
% 0.19/0.66 % WCLimit : 300
% 0.19/0.66 % DateTime : Mon Sep 21 11:08:42 UTC 2026
% 0.23/0.66 % CPUTime :
% 0.23/0.67 % Drodi V4.1.1
% 0.23/0.69 % Refutation found
% 0.23/0.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.74 % Elapsed time: 0.059968 seconds
% 0.23/0.74 % CPU time: 0.114961 seconds
% 0.23/0.74 % Total memory used: 10.252 MB
% 0.23/0.74 % Net memory used: 9.837 MB
%------------------------------------------------------------------------------