%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN067+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 01:57:11 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 21 ~; 12 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 40 ( 33 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X21,X22] :
( id(X22,X21)
| ~ id(X21,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) )
& id(Y5,Y4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( ~ r1(Y20)
| ~ id(Y20,Y10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
? [Y1] :
! [Y2] :
( ~ r1(Y2)
| ~ id(Y1,Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ? [Y1] :
! [Y2] :
( ~ r1(Y2)
| ~ id(Y1,Y2) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f42,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f61,plain,
! [X1,X8] :
( r3(X1,X8,sK7_skl(X8,X1))
& r2(sK7_skl(X8,X1),sK4_skl(X8,X1))
& r3(X1,sK6_skl(X8,X1),sK5_skl(X8,X1))
& r2(X8,sK6_skl(X8,X1))
& id(sK5_skl(X8,X1),sK4_skl(X8,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(Y4,sK4_skl(X8,X1)),skolemize(Y5,sK5_skl(X8,X1)),skolemize(Y15,sK6_skl(X8,X1)),skolemize(Y7,sK7_skl(X8,X1))],[f12]) ).
fof(f63,plain,
! [X0,X1] : r2(X0,sK6_skl(X0,X1)),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f89,plain,
! [Y10] :
( ! [X7] : ~ r2(X7,Y10)
| ! [Y20] :
( ~ r1(Y20)
| ~ id(Y20,Y10) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ r2(X2,X1)
| ~ r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [Y1] :
? [Y2] :
( r1(Y2)
& id(Y1,Y2) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f92,plain,
! [Y1] :
( r1(sK20_skl(Y1))
& id(Y1,sK20_skl(Y1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl]),skolemize(Y2,sK20_skl(Y1))],[f91]) ).
fof(f93,plain,
! [X0] : id(X0,sK20_skl(X0)),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0] : r1(sK20_skl(X0)),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ r1(X0)
| ~ id(X0,sK6_skl(X1,X2)) ),
inference(resolution,[status(thm)],[f63,f90]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ id(sK6_skl(X1,X2),X0)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f144,f42]) ).
fof(f165,plain,
! [X0,X1] : ~ r1(sK20_skl(sK6_skl(X0,X1))),
inference(resolution,[status(thm)],[f155,f93]) ).
fof(f169,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f165,f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN067+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n002.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 03:26:32 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.50 % Elapsed time: 0.057256 seconds
% 0.16/0.50 % CPU time: 0.151195 seconds
% 0.16/0.50 % Total memory used: 18.695 MB
% 0.16/0.50 % Net memory used: 18.584 MB
%------------------------------------------------------------------------------