%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN088+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 33 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 21 ~; 13 |; 6 &)
% ( 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 20 ( 17 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
! [Y1] :
( ! [Y3] :
( ~ r2(Y3,Y1)
| ~ r1(Y3) )
| ! [Y2] :
( Y2 != Y1
| ~ r1(Y2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ! [Y1] :
( ! [Y3] :
( ~ r2(Y3,Y1)
| ~ r1(Y3) )
| ! [Y2] :
( Y2 != Y1
| ~ r1(Y2) ) ),
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,
? [Y1] :
( ? [Y3] :
( r2(Y3,Y1)
& r1(Y3) )
& ? [Y2] :
( Y2 = Y1
& r1(Y2) ) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f65,plain,
( r2(sK22_skl,sK20_skl)
& r1(sK22_skl)
& sK21_skl = sK20_skl
& r1(sK21_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl]),skolemize(Y1,sK20_skl),skolemize(Y2,sK21_skl),skolemize(Y3,sK22_skl)],[f64]) ).
fof(f66,plain,
r1(sK21_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
sK21_skl = sK20_skl,
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f69,plain,
r2(sK22_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f96,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f63]) ).
fof(f102,plain,
r1(sK20_skl),
inference(backward_demodulation,[status(thm)],[f67,f66]) ).
fof(f103,plain,
~ r1(sK20_skl),
inference(resolution,[status(thm)],[f96,f69]) ).
fof(f104,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f103,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN088+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 03:25:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.11/0.35 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.39 % Elapsed time: 0.038747 seconds
% 0.11/0.39 % CPU time: 0.098548 seconds
% 0.11/0.39 % Total memory used: 76.757 MB
% 0.11/0.39 % Net memory used: 76.701 MB
%------------------------------------------------------------------------------