%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN073+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 : n016.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 01:57:13 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 58 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 34 ~; 26 |; 10 &)
% ( 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 38 ( 33 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X3,X10] :
( X3 = X10
| ! [Y12] :
( ~ r2(X10,Y12)
| ! [Y13] :
( Y13 != Y12
| ~ r2(X3,Y13) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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)
| ! [Y5] :
( ~ r2(Y5,Y3)
| ~ r1(Y5) ) )
| ! [Y2] :
( Y2 != Y1
| ! [Y4] :
( ~ r2(Y4,Y2)
| ~ r1(Y4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ! [Y1] :
( ! [Y3] :
( ~ r2(Y3,Y1)
| ! [Y5] :
( ~ r2(Y5,Y3)
| ~ r1(Y5) ) )
| ! [Y2] :
( Y2 != Y1
| ! [Y4] :
( ~ r2(Y4,Y2)
| ~ r1(Y4) ) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| ~ r2(X3,X2)
| X1 != X2
| ~ r2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
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)
& ? [Y5] :
( r2(Y5,Y3)
& r1(Y5) ) )
& ? [Y2] :
( Y2 = Y1
& ? [Y4] :
( r2(Y4,Y2)
& r1(Y4) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f65,plain,
( r2(sK23_skl,sK20_skl)
& r2(sK24_skl,sK23_skl)
& r1(sK24_skl)
& 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,sK24_skl]),skolemize(Y1,sK20_skl),skolemize(Y2,sK21_skl),skolemize(Y4,sK22_skl),skolemize(Y3,sK23_skl),skolemize(Y5,sK24_skl)],[f64]) ).
fof(f66,plain,
r1(sK22_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
r2(sK22_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
sK21_skl = sK20_skl,
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f70,plain,
r2(sK24_skl,sK23_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f71,plain,
r2(sK23_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f97,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ r2(X2,X1)
| ~ r2(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f46]) ).
fof(f98,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f63]) ).
fof(f104,plain,
r2(sK23_skl,sK21_skl),
inference(forward_demodulation,[status(thm)],[f68,f71]) ).
fof(f106,plain,
~ r1(sK23_skl),
inference(resolution,[status(thm)],[f98,f70]) ).
fof(f108,plain,
! [X0] :
( X0 = sK23_skl
| ~ r2(X0,sK21_skl) ),
inference(resolution,[status(thm)],[f97,f104]) ).
fof(f112,plain,
sK22_skl = sK23_skl,
inference(resolution,[status(thm)],[f108,f67]) ).
fof(f114,plain,
r1(sK23_skl),
inference(backward_demodulation,[status(thm)],[f112,f66]) ).
fof(f115,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f114,f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN073+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n016.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 03:29:37 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.49 % Elapsed time: 0.058394 seconds
% 0.17/0.49 % CPU time: 0.140444 seconds
% 0.17/0.49 % Total memory used: 51.218 MB
% 0.17/0.49 % Net memory used: 51.183 MB
%------------------------------------------------------------------------------