%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN088+3 : TPTP v9.3.1. Released v7.3.0.
% 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 01:57:16 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 29 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 34 ( 19 ~; 11 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 17 ( 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
! [Y0] :
( ~ r1(Y0)
| ! [Y1] :
( ~ r2(Y0,Y1)
| Y0 != Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ! [Y0] :
( ~ r1(Y0)
| ! [Y1] :
( ~ r2(Y0,Y1)
| Y0 != Y1 ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f62,plain,
! [Y10] :
( ! [X7] : ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ r2(X2,X1)
| X0 != X1
| ~ r1(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
? [Y0] :
( r1(Y0)
& ? [Y1] :
( r2(Y0,Y1)
& Y0 = Y1 ) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f65,plain,
( r1(sK20_skl)
& r2(sK20_skl,sK21_skl)
& sK20_skl = sK21_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(Y0,sK20_skl),skolemize(Y1,sK21_skl)],[f64]) ).
fof(f66,plain,
sK20_skl = sK21_skl,
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
r2(sK20_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
r1(sK20_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f95,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f63]) ).
fof(f101,plain,
r2(sK20_skl,sK20_skl),
inference(forward_demodulation,[status(thm)],[f66,f67]) ).
fof(f103,plain,
~ r1(sK20_skl),
inference(resolution,[status(thm)],[f95,f101]) ).
fof(f104,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f103,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN088+3 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.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 03:25:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.054524 seconds
% 0.14/0.42 % CPU time: 0.151458 seconds
% 0.14/0.42 % Total memory used: 102.286 MB
% 0.14/0.42 % Net memory used: 102.192 MB
%------------------------------------------------------------------------------