%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN060+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 : n010.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 01:57:09 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 110 ( 43 ~; 33 |; 34 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 0 con; 1-2 aty)
% Number of variables : 112 ( 85 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X20] : id(X20,X20),
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(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/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X5] :
? [Y8] :
( ? [Y18] :
( r1(Y18)
& id(Y8,Y18) )
& ? [Y17] :
( r4(X5,Y17,Y8)
& r1(Y17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
? [Y1,Y2,Y3] :
( ? [Y4] :
( ? [Y5] :
( ? [Y6] :
( ? [Y7] :
( ? [Y8] :
( r2(Y8,Y7)
& r1(Y8) )
& r2(Y7,Y6) )
& r2(Y6,Y5) )
& r2(Y5,Y4) )
& r3(Y2,Y4,Y3) )
& id(Y3,Y1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ? [Y1,Y2,Y3] :
( ? [Y4] :
( ? [Y5] :
( ? [Y6] :
( ? [Y7] :
( ? [Y8] :
( r2(Y8,Y7)
& r1(Y8) )
& r2(Y7,Y6) )
& r2(Y6,Y5) )
& r2(Y5,Y4) )
& r3(Y2,Y4,Y3) )
& id(Y3,Y1) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f41,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
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(f78,plain,
! [X5] :
( r1(sK16_skl(X5))
& id(sK14_skl(X5),sK16_skl(X5))
& r4(X5,sK15_skl(X5),sK14_skl(X5))
& r1(sK15_skl(X5)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(Y8,sK14_skl(X5)),skolemize(Y17,sK15_skl(X5)),skolemize(Y18,sK16_skl(X5))],[f16]) ).
fof(f79,plain,
! [X0] : r1(sK15_skl(X0)),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f91,plain,
! [Y1,Y2,Y3] :
( ! [Y4] :
( ! [Y5] :
( ! [Y6] :
( ! [Y7] :
( ! [Y8] :
( ~ r2(Y8,Y7)
| ~ r1(Y8) )
| ~ r2(Y7,Y6) )
| ~ r2(Y6,Y5) )
| ~ r2(Y5,Y4) )
| ~ r3(Y2,Y4,Y3) )
| ~ id(Y3,Y1) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f92,plain,
! [Y3] :
( ! [Y4] :
( ! [Y5] :
( ! [Y6] :
( ! [Y7] :
( ! [Y8] :
( ~ r2(Y8,Y7)
| ~ r1(Y8) )
| ~ r2(Y7,Y6) )
| ~ r2(Y6,Y5) )
| ~ r2(Y5,Y4) )
| ! [Y2] : ~ r3(Y2,Y4,Y3) )
| ! [Y1] : ~ id(Y3,Y1) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X2,X3,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ r2(sK15_skl(X7),X6)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X2,X3,X0)
| ~ id(X0,X1) ),
inference(resolution,[status(thm)],[f79,f93]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ r2(sK10_skl(sK15_skl(X6),X7),X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X2,X3,X0)
| ~ id(X0,X1) ),
inference(resolution,[status(thm)],[f69,f142]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r2(sK10_skl(sK15_skl(X5),X6),X4)
| ~ r2(X4,X3)
| ~ r2(X3,X0)
| ~ id(sK7_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f66,f150]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r2(sK10_skl(sK10_skl(sK15_skl(X4),X5),X6),X3)
| ~ r2(X3,X0)
| ~ id(sK7_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f176,f69]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r2(sK10_skl(sK10_skl(sK10_skl(sK15_skl(X3),X4),X5),X6),X0)
| ~ id(sK7_skl(X0,X1),X2) ),
inference(resolution,[status(thm)],[f190,f69]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6] : ~ id(sK7_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(sK15_skl(X0),X1),X2),X3),X4),X5),X6),
inference(resolution,[status(thm)],[f192,f69]) ).
fof(f254,plain,
$false,
inference(resolution,[status(thm)],[f194,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN060+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.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 03:23:54 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.050535 seconds
% 0.14/0.41 % CPU time: 0.123443 seconds
% 0.14/0.41 % Total memory used: 18.831 MB
% 0.14/0.41 % Net memory used: 18.707 MB
%------------------------------------------------------------------------------