%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN089+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 : n008.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 : 37 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 23 ~; 15 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 20 !; 4 ?)
% 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] :
( ! [Y4] :
( ~ r1(Y4)
| Y4 != Y1 )
| ! [Y2] :
( ~ r2(Y2,Y1)
| ! [Y3] :
( ~ r2(Y3,Y2)
| ~ r1(Y3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ! [Y1] :
( ! [Y4] :
( ~ r1(Y4)
| Y4 != Y1 )
| ! [Y2] :
( ~ r2(Y2,Y1)
| ! [Y3] :
( ~ r2(Y3,Y2)
| ~ r1(Y3) ) ) ),
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] :
( ? [Y4] :
( r1(Y4)
& Y4 = Y1 )
& ? [Y2] :
( r2(Y2,Y1)
& ? [Y3] :
( r2(Y3,Y2)
& r1(Y3) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f65,plain,
( r1(sK23_skl)
& sK23_skl = sK20_skl
& r2(sK21_skl,sK20_skl)
& r2(sK22_skl,sK21_skl)
& r1(sK22_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl]),skolemize(Y1,sK20_skl),skolemize(Y2,sK21_skl),skolemize(Y3,sK22_skl),skolemize(Y4,sK23_skl)],[f64]) ).
fof(f68,plain,
r2(sK21_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f69,plain,
sK23_skl = sK20_skl,
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f70,plain,
r1(sK23_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f97,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f63]) ).
fof(f103,plain,
r1(sK20_skl),
inference(forward_demodulation,[status(thm)],[f69,f70]) ).
fof(f104,plain,
! [X0] : ~ r2(X0,sK20_skl),
inference(resolution,[status(thm)],[f97,f103]) ).
fof(f107,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f68,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN089+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:26:38 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % 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: 0.062185 seconds
% 0.14/0.42 % CPU time: 0.158422 seconds
% 0.14/0.42 % Total memory used: 102.350 MB
% 0.14/0.42 % Net memory used: 102.281 MB
%------------------------------------------------------------------------------