%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN062+1 : TPTP v9.3.1. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 01:57:10 PM UTC 2026
% Result : Theorem 0.08s 15.46s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 32 ~; 23 |; 23 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 79 ( 61 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X20] : id(X20,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X21,X22] :
( id(X22,X21)
| ~ id(X21,X22) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y6] :
( r4(X2,X9,Y6)
& r3(Y6,X2,Y2) )
& ? [Y3] :
( ? [Y14] :
( r4(X2,Y14,Y3)
& r2(X9,Y14) )
& id(Y3,Y2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( ~ r1(Y20)
| ~ id(Y20,Y10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
! [X1] :
? [Y2,Y1] :
( ? [Y3] :
( r3(X1,Y1,Y3)
& id(Y3,Y2) )
& ! [Y4] :
( ~ r1(Y4)
| ~ id(Y1,Y4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ! [X1] :
? [Y2,Y1] :
( ? [Y3] :
( r3(X1,Y1,Y3)
& id(Y3,Y2) )
& ! [Y4] :
( ~ r1(Y4)
| ~ id(Y1,Y4) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f41,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
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(f66,plain,
! [X0,X1] : r3(X0,X1,sK7_skl(X1,X0)),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f67,plain,
! [X2,X9] :
( r4(X2,X9,sK11_skl(X9,X2))
& r3(sK11_skl(X9,X2),X2,sK8_skl(X9,X2))
& r4(X2,sK10_skl(X9,X2),sK9_skl(X9,X2))
& r2(X9,sK10_skl(X9,X2))
& id(sK9_skl(X9,X2),sK8_skl(X9,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(Y2,sK8_skl(X9,X2)),skolemize(Y3,sK9_skl(X9,X2)),skolemize(Y14,sK10_skl(X9,X2)),skolemize(Y6,sK11_skl(X9,X2))],[f13]) ).
fof(f69,plain,
! [X0,X1] : r2(X0,sK10_skl(X0,X1)),
inference(cnf_transformation,[status(thm)],[f67]) ).
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,
? [X1] :
! [Y2,Y1] :
( ! [Y3] :
( ~ r3(X1,Y1,Y3)
| ~ id(Y3,Y2) )
| ? [Y4] :
( r1(Y4)
& id(Y1,Y4) ) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f92,plain,
? [X1] :
! [Y1] :
( ! [Y3] :
( ~ r3(X1,Y1,Y3)
| ! [Y2] : ~ id(Y3,Y2) )
| ? [Y4] :
( r1(Y4)
& id(Y1,Y4) ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f93,plain,
! [Y1] :
( ! [Y3] :
( ~ r3(sK20_skl,Y1,Y3)
| ! [Y2] : ~ id(Y3,Y2) )
| ( r1(sK21_skl(Y1))
& id(Y1,sK21_skl(Y1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(X1,sK20_skl),skolemize(Y4,sK21_skl(Y1))],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ r3(sK20_skl,X0,X1)
| ~ id(X1,X2)
| id(X0,sK21_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ r3(sK20_skl,X0,X1)
| ~ id(X1,X2)
| r1(sK21_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f141,plain,
! [X0,X1] :
( ~ r3(sK20_skl,X0,X1)
| id(X0,sK21_skl(X0)) ),
inference(resolution,[status(thm)],[f41,f94]) ).
fof(f142,plain,
! [X0,X1] :
( ~ r3(sK20_skl,X0,X1)
| r1(sK21_skl(X0)) ),
inference(resolution,[status(thm)],[f41,f95]) ).
fof(f178,plain,
! [X0] : r1(sK21_skl(X0)),
inference(resolution,[status(thm)],[f66,f142]) ).
fof(f179,plain,
! [X0] : id(X0,sK21_skl(X0)),
inference(resolution,[status(thm)],[f66,f141]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ~ r2(X2,X1)
| ~ id(sK21_skl(X0),X1) ),
inference(resolution,[status(thm)],[f178,f90]) ).
fof(f186,plain,
! [X0,X1,X2] : ~ id(sK21_skl(X0),sK10_skl(X1,X2)),
inference(resolution,[status(thm)],[f180,f69]) ).
fof(f189,plain,
! [X0,X1,X2] : ~ id(sK10_skl(X0,X1),sK21_skl(X2)),
inference(resolution,[status(thm)],[f186,f42]) ).
fof(f278,plain,
$false,
inference(resolution,[status(thm)],[f189,f179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN062+1 : TPTP v9.3.1. Bugfixed v7.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.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
% 0.08/15.42 % CPULimit : 300
% 0.08/15.42 % WCLimit : 300
% 0.08/15.42 % DateTime : Mon Sep 21 03:22:53 UTC 2026
% 0.08/15.42 % CPUTime :
% 0.08/15.43 % Drodi V4.1.1
% 0.08/15.46 % Refutation found
% 0.08/15.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/15.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/15.48 % Elapsed time: 0.046097 seconds
% 0.08/15.48 % CPU time: 0.138651 seconds
% 0.08/15.48 % Total memory used: 18.893 MB
% 0.08/15.48 % Net memory used: 18.770 MB
%------------------------------------------------------------------------------