%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN066+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 01:57:11 PM UTC 2026
% Result : Theorem 10.42s 6.75s
% Output : CNFRefutation 10.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 102 ( 18 unt; 5 def)
% Number of atoms : 308 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 351 ( 145 ~; 136 |; 65 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-2 aty)
% Number of variables : 231 ( 201 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [Y24] :
! [X19] :
( ( ~ id(X19,Y24)
& ~ r1(X19) )
| ( r1(X19)
& id(X19,Y24) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ id(X12,Y21)
& ~ r2(X11,X12) )
| ( r2(X11,X12)
& id(X12,Y21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X20] : id(X20,X20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X21,X22] :
( id(X22,X21)
| ~ id(X21,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X23,X24,X25] :
( ~ id(X24,X25)
| id(X23,X25)
| ~ id(X23,X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X26,X27] :
( ( r1(X27)
& r1(X26) )
| ( ~ r1(X27)
& ~ r1(X26) )
| ~ id(X26,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X3,X10] :
( id(X3,X10)
| ! [Y12] :
( ~ r2(X10,Y12)
| ! [Y13] :
( ~ r2(X3,Y13)
| ~ id(Y13,Y12) ) ) ),
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(f17,axiom,
! [X6] :
( ? [Y1,Y11] :
( r2(Y1,Y11)
& id(X6,Y11) )
| ? [Y19] :
( r1(Y19)
& id(X6,Y19) ) ),
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] :
( ! [Y5] :
( ~ r1(Y5)
| ~ id(Y1,Y5) )
& ! [Y2] :
( ~ id(Y1,Y2)
| ! [Y3] :
( ~ r2(Y3,Y2)
| ! [Y4] :
( ~ r2(Y4,Y3)
| ~ r1(Y4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ? [Y1] :
( ! [Y5] :
( ~ r1(Y5)
| ~ id(Y1,Y5) )
& ! [Y2] :
( ~ id(Y1,Y2)
| ! [Y3] :
( ~ r2(Y3,Y2)
| ! [Y4] :
( ~ r2(Y4,Y3)
| ~ r1(Y4) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,definition,
! [Y24,X19] :
( sP0_prd(X19,Y24)
<=> ( r1(X19)
& id(X19,Y24) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f22,plain,
? [Y24] :
! [X19] :
( ( ~ id(X19,Y24)
& ~ r1(X19) )
| sP0_prd(X19,Y24) ),
inference(formula_renaming,[status(thm)],[f1,f21]) ).
fof(f23,plain,
! [X19] :
( ( ~ id(X19,sK0_skl)
& ~ r1(X19) )
| sP0_prd(X19,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y24,sK0_skl)],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ r1(X0)
| sP0_prd(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0] :
( ~ id(X0,sK0_skl)
| sP0_prd(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,definition,
! [X11,Y21,X12] :
( sP1_prd(X12,Y21,X11)
<=> ( r2(X11,X12)
& id(X12,Y21) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f27,plain,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ id(X12,Y21)
& ~ r2(X11,X12) )
| sP1_prd(X12,Y21,X11) ),
inference(formula_renaming,[status(thm)],[f2,f26]) ).
fof(f28,plain,
! [X11,X12] :
( ( ~ id(X12,sK1_skl(X11))
& ~ r2(X11,X12) )
| sP1_prd(X12,sK1_skl(X11),X11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y21,sK1_skl(X11))],[f27]) ).
fof(f30,plain,
! [X0,X1] :
( ~ id(X0,sK1_skl(X1))
| sP1_prd(X0,sK1_skl(X1),X1) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
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(f43,plain,
! [X24,X25] :
( ~ id(X24,X25)
| ! [X23] :
( id(X23,X25)
| ~ id(X23,X24) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,definition,
! [X26,X27] :
( sP4_prd(X27,X26)
<=> ( ~ r1(X27)
& ~ r1(X26) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f46,plain,
! [X26,X27] :
( ( r1(X27)
& r1(X26) )
| sP4_prd(X27,X26)
| ~ id(X26,X27) ),
inference(formula_renaming,[status(thm)],[f8,f45]) ).
fof(f47,plain,
! [X0,X1] :
( r1(X0)
| sP4_prd(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( id(X2,X3)
| ~ r2(X3,X1)
| ~ r2(X2,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
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(f81,plain,
! [X0] : id(sK14_skl(X0),sK16_skl(X0)),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f82,plain,
! [X0] : r1(sK16_skl(X0)),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f83,definition,
! [X6,Y19] :
( sP8_prd(Y19,X6)
<=> ( r1(Y19)
& id(X6,Y19) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f84,plain,
! [X6] :
( ? [Y1,Y11] :
( r2(Y1,Y11)
& id(X6,Y11) )
| ? [Y19] : sP8_prd(Y19,X6) ),
inference(formula_renaming,[status(thm)],[f17,f83]) ).
fof(f85,plain,
! [X6] :
( ? [Y11] :
( ? [Y1] : r2(Y1,Y11)
& id(X6,Y11) )
| ? [Y19] : sP8_prd(Y19,X6) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f86,plain,
! [X6] :
( ( r2(sK19_skl(X6),sK18_skl(X6))
& id(X6,sK18_skl(X6)) )
| sP8_prd(sK17_skl(X6),X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl,sK19_skl]),skolemize(Y19,sK17_skl(X6)),skolemize(Y11,sK18_skl(X6)),skolemize(Y1,sK19_skl(X6))],[f85]) ).
fof(f87,plain,
! [X0] :
( id(X0,sK18_skl(X0))
| sP8_prd(sK17_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f88,plain,
! [X0] :
( r2(sK19_skl(X0),sK18_skl(X0))
| sP8_prd(sK17_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
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] :
( ? [Y5] :
( r1(Y5)
& id(Y1,Y5) )
| ? [Y2] :
( id(Y1,Y2)
& ? [Y3] :
( r2(Y3,Y2)
& ? [Y4] :
( r2(Y4,Y3)
& r1(Y4) ) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f92,definition,
! [Y1,Y2] :
( sP9_prd(Y2,Y1)
<=> ( id(Y1,Y2)
& ? [Y3] :
( r2(Y3,Y2)
& ? [Y4] :
( r2(Y4,Y3)
& r1(Y4) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f93,plain,
! [Y1] :
( ? [Y5] :
( r1(Y5)
& id(Y1,Y5) )
| ? [Y2] : sP9_prd(Y2,Y1) ),
inference(formula_renaming,[status(thm)],[f91,f92]) ).
fof(f94,plain,
! [Y1] :
( ( r1(sK21_skl(Y1))
& id(Y1,sK21_skl(Y1)) )
| sP9_prd(sK20_skl(Y1),Y1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(Y2,sK20_skl(Y1)),skolemize(Y5,sK21_skl(Y1))],[f93]) ).
fof(f95,plain,
! [X0] :
( id(X0,sK21_skl(X0))
| sP9_prd(sK20_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0] :
( r1(sK21_skl(X0))
| sP9_prd(sK20_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f97,plain,
! [Y24,X19] :
( ( ~ r1(X19)
| ~ id(X19,Y24)
| sP0_prd(X19,Y24) )
& ( ( r1(X19)
& id(X19,Y24) )
| ~ sP0_prd(X19,Y24) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f98,plain,
( ! [Y24,X19] :
( ~ r1(X19)
| ~ id(X19,Y24)
| sP0_prd(X19,Y24) )
& ! [Y24,X19] :
( ( r1(X19)
& id(X19,Y24) )
| ~ sP0_prd(X19,Y24) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( id(X0,X1)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( r1(X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f102,plain,
! [X11,Y21,X12] :
( ( ~ r2(X11,X12)
| ~ id(X12,Y21)
| sP1_prd(X12,Y21,X11) )
& ( ( r2(X11,X12)
& id(X12,Y21) )
| ~ sP1_prd(X12,Y21,X11) ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f103,plain,
( ! [X11,Y21,X12] :
( ~ r2(X11,X12)
| ~ id(X12,Y21)
| sP1_prd(X12,Y21,X11) )
& ! [X11,Y21,X12] :
( ( r2(X11,X12)
& id(X12,Y21) )
| ~ sP1_prd(X12,Y21,X11) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f105,plain,
! [X0,X1,X2] :
( r2(X2,X0)
| ~ sP1_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f117,plain,
! [X26,X27] :
( ( r1(X27)
| r1(X26)
| sP4_prd(X27,X26) )
& ( ( ~ r1(X27)
& ~ r1(X26) )
| ~ sP4_prd(X27,X26) ) ),
inference(NNF_transformation,[status(thm)],[f45]) ).
fof(f118,plain,
( ! [X26,X27] :
( r1(X27)
| r1(X26)
| sP4_prd(X27,X26) )
& ! [X26,X27] :
( ( ~ r1(X27)
& ~ r1(X26) )
| ~ sP4_prd(X27,X26) ) ),
inference(miniscoping,[status(thm)],[f117]) ).
fof(f120,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ sP4_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f137,plain,
! [X6,Y19] :
( ( ~ r1(Y19)
| ~ id(X6,Y19)
| sP8_prd(Y19,X6) )
& ( ( r1(Y19)
& id(X6,Y19) )
| ~ sP8_prd(Y19,X6) ) ),
inference(NNF_transformation,[status(thm)],[f83]) ).
fof(f138,plain,
( ! [X6,Y19] :
( ~ r1(Y19)
| ~ id(X6,Y19)
| sP8_prd(Y19,X6) )
& ! [X6,Y19] :
( ( r1(Y19)
& id(X6,Y19) )
| ~ sP8_prd(Y19,X6) ) ),
inference(miniscoping,[status(thm)],[f137]) ).
fof(f139,plain,
! [X0,X1] :
( id(X1,X0)
| ~ sP8_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f142,plain,
! [Y1,Y2] :
( ( ~ id(Y1,Y2)
| ! [Y3] :
( ~ r2(Y3,Y2)
| ! [Y4] :
( ~ r2(Y4,Y3)
| ~ r1(Y4) ) )
| sP9_prd(Y2,Y1) )
& ( ( id(Y1,Y2)
& ? [Y3] :
( r2(Y3,Y2)
& ? [Y4] :
( r2(Y4,Y3)
& r1(Y4) ) ) )
| ~ sP9_prd(Y2,Y1) ) ),
inference(NNF_transformation,[status(thm)],[f92]) ).
fof(f143,plain,
( ! [Y1,Y2] :
( ~ id(Y1,Y2)
| ! [Y3] :
( ~ r2(Y3,Y2)
| ! [Y4] :
( ~ r2(Y4,Y3)
| ~ r1(Y4) ) )
| sP9_prd(Y2,Y1) )
& ! [Y1,Y2] :
( ( id(Y1,Y2)
& ? [Y3] :
( r2(Y3,Y2)
& ? [Y4] :
( r2(Y4,Y3)
& r1(Y4) ) ) )
| ~ sP9_prd(Y2,Y1) ) ),
inference(miniscoping,[status(thm)],[f142]) ).
fof(f144,plain,
( ! [Y1,Y2] :
( ~ id(Y1,Y2)
| ! [Y3] :
( ~ r2(Y3,Y2)
| ! [Y4] :
( ~ r2(Y4,Y3)
| ~ r1(Y4) ) )
| sP9_prd(Y2,Y1) )
& ! [Y1,Y2] :
( ( id(Y1,Y2)
& r2(sK22_skl(Y2,Y1),Y2)
& r2(sK23_skl(Y2,Y1),sK22_skl(Y2,Y1))
& r1(sK23_skl(Y2,Y1)) )
| ~ sP9_prd(Y2,Y1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl]),skolemize(Y3,sK22_skl(Y2,Y1)),skolemize(Y4,sK23_skl(Y2,Y1))],[f143]) ).
fof(f146,plain,
! [X0,X1] :
( r2(sK23_skl(X0,X1),sK22_skl(X0,X1))
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f147,plain,
! [X0,X1] :
( r2(sK22_skl(X0,X1),X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f148,plain,
! [X0,X1] :
( id(X1,X0)
| ~ sP9_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f151,plain,
! [X0] :
( sP9_prd(sK20_skl(X0),X0)
| id(sK21_skl(X0),X0) ),
inference(resolution,[status(thm)],[f42,f95]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( id(X3,sK22_skl(X0,X1))
| ~ r2(X3,X2)
| ~ id(X2,X0)
| ~ sP9_prd(X0,X1) ),
inference(resolution,[status(thm)],[f147,f73]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ~ r1(X2)
| ~ id(X2,sK22_skl(X0,X1))
| ~ sP9_prd(X0,X1) ),
inference(resolution,[status(thm)],[f146,f90]) ).
fof(f231,plain,
! [X0,X1,X2,X3] :
( ~ r2(X2,X3)
| ~ id(X3,X0)
| ~ sP9_prd(X0,X1)
| ~ r1(X2)
| ~ sP9_prd(X0,X1) ),
inference(resolution,[status(thm)],[f162,f159]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ~ r2(X2,X3)
| ~ id(X3,X0)
| ~ r1(X2)
| ~ sP9_prd(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f231]) ).
fof(f373,plain,
! [X0] :
( r1(sK14_skl(X0))
| sP4_prd(sK16_skl(X0),sK14_skl(X0)) ),
inference(resolution,[status(thm)],[f81,f47]) ).
fof(f375,plain,
! [X0,X1] :
( id(X0,sK16_skl(X1))
| ~ id(X0,sK14_skl(X1)) ),
inference(resolution,[status(thm)],[f81,f44]) ).
fof(f376,plain,
! [X0] : id(sK16_skl(X0),sK14_skl(X0)),
inference(resolution,[status(thm)],[f81,f42]) ).
fof(f386,plain,
! [X0,X1] :
( ~ r1(X1)
| ~ id(X1,sK18_skl(X0))
| sP8_prd(sK17_skl(X0),X0) ),
inference(resolution,[status(thm)],[f88,f90]) ).
fof(f392,plain,
! [X0] :
( ~ r1(X0)
| id(X0,sK0_skl) ),
inference(resolution,[status(thm)],[f99,f24]) ).
fof(f445,plain,
! [X0,X1] :
( ~ id(X1,sK1_skl(X0))
| r2(X0,X1) ),
inference(resolution,[status(thm)],[f105,f30]) ).
fof(f528,plain,
! [X0,X1] :
( id(X0,sK14_skl(X1))
| ~ id(X0,sK16_skl(X1)) ),
inference(resolution,[status(thm)],[f376,f44]) ).
fof(f634,plain,
! [X0] :
( sP8_prd(sK17_skl(X0),X0)
| ~ r1(X0)
| sP8_prd(sK17_skl(X0),X0) ),
inference(resolution,[status(thm)],[f386,f87]) ).
fof(f638,plain,
! [X0] :
( ~ r1(X0)
| sP8_prd(sK17_skl(X0),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f634]) ).
fof(f1038,plain,
! [X0,X1] :
( id(X1,sK0_skl)
| ~ id(X1,X0)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f392,f44]) ).
fof(f1471,plain,
! [X0] :
( ~ r1(sK16_skl(X0))
| r1(sK14_skl(X0)) ),
inference(resolution,[status(thm)],[f373,f120]) ).
fof(f1472,plain,
! [X0] : r1(sK14_skl(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f1471,f82]) ).
fof(f1544,plain,
! [X0] : r2(X0,sK1_skl(X0)),
inference(resolution,[status(thm)],[f445,f41]) ).
fof(f1578,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK1_skl(X1)) ),
inference(resolution,[status(thm)],[f1544,f90]) ).
fof(f1970,plain,
! [X0] :
( id(X0,sK17_skl(X0))
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f638,f139]) ).
fof(f2009,plain,
! [X0,X1,X2] :
( ~ r2(X2,X0)
| ~ r1(X2)
| ~ sP9_prd(X0,X1) ),
inference(resolution,[status(thm)],[f234,f41]) ).
fof(f2055,plain,
! [X0] :
( sP9_prd(sK20_skl(sK1_skl(X0)),sK1_skl(X0))
| ~ r1(sK21_skl(sK1_skl(X0))) ),
inference(resolution,[status(thm)],[f1578,f151]) ).
fof(f2063,plain,
! [X0] : sP9_prd(sK20_skl(sK1_skl(X0)),sK1_skl(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f2055,f96]) ).
fof(f2155,plain,
! [X0] :
( id(sK17_skl(X0),X0)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f1970,f42]) ).
fof(f2215,plain,
! [X0] :
( id(sK17_skl(sK14_skl(X0)),sK16_skl(X0))
| ~ r1(sK14_skl(X0)) ),
inference(resolution,[status(thm)],[f2155,f375]) ).
fof(f2232,plain,
! [X0] : id(sK17_skl(sK14_skl(X0)),sK16_skl(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f2215,f1472]) ).
fof(f2816,plain,
! [X0] : id(sK1_skl(X0),sK20_skl(sK1_skl(X0))),
inference(resolution,[status(thm)],[f2063,f148]) ).
fof(f2937,plain,
! [X0] : id(sK17_skl(sK14_skl(X0)),sK14_skl(X0)),
inference(resolution,[status(thm)],[f528,f2232]) ).
fof(f3460,plain,
! [X0] : id(sK20_skl(sK1_skl(X0)),sK1_skl(X0)),
inference(resolution,[status(thm)],[f2816,f42]) ).
fof(f3734,plain,
! [X0] : r2(X0,sK20_skl(sK1_skl(X0))),
inference(resolution,[status(thm)],[f3460,f445]) ).
fof(f4021,plain,
! [X0] :
( id(sK17_skl(sK14_skl(X0)),sK0_skl)
| ~ r1(sK14_skl(X0)) ),
inference(resolution,[status(thm)],[f1038,f2937]) ).
fof(f4104,plain,
! [X0] : id(sK17_skl(sK14_skl(X0)),sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f4021,f1472]) ).
fof(f4174,plain,
! [X0] : sP0_prd(sK17_skl(sK14_skl(X0)),sK0_skl),
inference(resolution,[status(thm)],[f4104,f25]) ).
fof(f4308,plain,
! [X0] : r1(sK17_skl(sK14_skl(X0))),
inference(resolution,[status(thm)],[f4174,f100]) ).
fof(f4568,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ sP9_prd(sK20_skl(sK1_skl(X0)),X1) ),
inference(resolution,[status(thm)],[f2009,f3734]) ).
fof(f7204,plain,
! [X0] : ~ r1(X0),
inference(resolution,[status(thm)],[f4568,f2063]) ).
fof(f7275,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4308,f7204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN066+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.35 % Computer : n010.cluster.edu
% 0.10/5.35 % Model : x86_64 x86_64
% 0.10/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.35 % Memory : 8046.5625MB
% 0.10/5.35 % OS : Linux 6.8.0-71-generic
% 0.10/5.35 % CPULimit : 300
% 0.10/5.35 % WCLimit : 300
% 0.10/5.35 % DateTime : Mon Sep 21 03:24:32 UTC 2026
% 0.10/5.35 % CPUTime :
% 0.10/5.36 % Drodi V4.1.1
% 10.42/6.75 % Refutation found
% 10.42/6.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.42/6.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.42/6.79 % Elapsed time: 1.414610 seconds
% 10.42/6.79 % CPU time: 11.044225 seconds
% 10.42/6.79 % Total memory used: 115.288 MB
% 10.42/6.79 % Net memory used: 93.925 MB
%------------------------------------------------------------------------------