%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN056+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 : n017.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 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 28 unt; 5 def)
% Number of atoms : 278 ( 54 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 346 ( 153 ~; 129 |; 59 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 237 ( 205 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [Y24] :
! [X19] :
( ( X19 = Y24
& r1(X19) )
| ( X19 != Y24
& ~ r1(X19) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( X12 = Y21
& r2(X11,X12) )
| ( X12 != Y21
& ~ r2(X11,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( X15 = Y22
& r3(X13,X14,X15) )
| ( X15 != Y22
& ~ r3(X13,X14,X15) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( Y5 = Y4
& ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X4] :
? [Y9] :
( Y9 = X4
& ? [Y16] :
( r3(X4,Y16,Y9)
& r1(Y16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
? [Y1] :
( ? [Y4] :
( ? [Y7] :
( ? [Y10] :
( r2(Y10,Y7)
& r1(Y10) )
& r2(Y7,Y4) )
& ? [Y6] :
( ? [Y9] :
( r2(Y9,Y6)
& r1(Y9) )
& r3(Y6,Y4,Y1) ) )
& ? [Y2] :
( ? [Y3] :
( ? [Y5] :
( ? [Y8] :
( r2(Y8,Y5)
& r1(Y8) )
& r2(Y5,Y3) )
& r2(Y3,Y2) )
& Y1 = Y2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ? [Y1] :
( ? [Y4] :
( ? [Y7] :
( ? [Y10] :
( r2(Y10,Y7)
& r1(Y10) )
& r2(Y7,Y4) )
& ? [Y6] :
( ? [Y9] :
( r2(Y9,Y6)
& r1(Y9) )
& r3(Y6,Y4,Y1) ) )
& ? [Y2] :
( ? [Y3] :
( ? [Y5] :
( ? [Y8] :
( r2(Y8,Y5)
& r1(Y8) )
& r2(Y5,Y3) )
& r2(Y3,Y2) )
& Y1 = Y2 ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,definition,
! [Y24,X19] :
( sP0_prd(X19,Y24)
<=> ( X19 != Y24
& ~ r1(X19) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f15,plain,
? [Y24] :
! [X19] :
( ( X19 = Y24
& r1(X19) )
| sP0_prd(X19,Y24) ),
inference(formula_renaming,[status(thm)],[f1,f14]) ).
fof(f16,plain,
! [X19] :
( ( X19 = sK0_skl
& r1(X19) )
| sP0_prd(X19,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y24,sK0_skl)],[f15]) ).
fof(f17,plain,
! [X0] :
( r1(X0)
| sP0_prd(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0] :
( X0 = sK0_skl
| sP0_prd(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f19,definition,
! [X11,Y21,X12] :
( sP1_prd(X12,Y21,X11)
<=> ( X12 != Y21
& ~ r2(X11,X12) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f20,plain,
! [X11] :
? [Y21] :
! [X12] :
( ( X12 = Y21
& r2(X11,X12) )
| sP1_prd(X12,Y21,X11) ),
inference(formula_renaming,[status(thm)],[f2,f19]) ).
fof(f21,plain,
! [X11,X12] :
( ( 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))],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( r2(X1,X0)
| sP1_prd(X0,sK1_skl(X1),X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( X0 = sK1_skl(X1)
| sP1_prd(X0,sK1_skl(X1),X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f24,definition,
! [X13,X14,Y22,X15] :
( sP2_prd(X15,Y22,X14,X13)
<=> ( X15 != Y22
& ~ r3(X13,X14,X15) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f25,plain,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( X15 = Y22
& r3(X13,X14,X15) )
| sP2_prd(X15,Y22,X14,X13) ),
inference(formula_renaming,[status(thm)],[f3,f24]) ).
fof(f26,plain,
! [X13,X14,X15] :
( ( X15 = sK2_skl(X14,X13)
& r3(X13,X14,X15) )
| sP2_prd(X15,sK2_skl(X14,X13),X14,X13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y22,sK2_skl(X14,X13))],[f25]) ).
fof(f28,plain,
! [X0,X1,X2] :
( X0 = sK2_skl(X1,X2)
| sP2_prd(X0,sK2_skl(X1,X2),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f34,plain,
! [X1,X8] :
( r3(X1,X8,sK7_skl(X8,X1))
& r2(sK7_skl(X8,X1),sK4_skl(X8,X1))
& sK5_skl(X8,X1) = sK4_skl(X8,X1)
& r3(X1,sK6_skl(X8,X1),sK5_skl(X8,X1))
& r2(X8,sK6_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))],[f5]) ).
fof(f35,plain,
! [X0,X1] : r2(X0,sK6_skl(X0,X1)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0,X1] : r3(X0,sK6_skl(X1,X0),sK5_skl(X1,X0)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [X0,X1] : sK5_skl(X0,X1) = sK4_skl(X0,X1),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f38,plain,
! [X0,X1] : r2(sK7_skl(X0,X1),sK4_skl(X0,X1)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f39,plain,
! [X0,X1] : r3(X0,X1,sK7_skl(X1,X0)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f47,plain,
! [X4] :
( sK12_skl(X4) = X4
& r3(X4,sK13_skl(X4),sK12_skl(X4))
& r1(sK13_skl(X4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(Y9,sK12_skl(X4)),skolemize(Y16,sK13_skl(X4))],[f8]) ).
fof(f48,plain,
! [X0] : r1(sK13_skl(X0)),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0] : r3(X0,sK13_skl(X0),sK12_skl(X0)),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f50,plain,
! [X0] : sK12_skl(X0) = X0,
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f64,plain,
! [Y1] :
( ! [Y4] :
( ! [Y7] :
( ! [Y10] :
( ~ r2(Y10,Y7)
| ~ r1(Y10) )
| ~ r2(Y7,Y4) )
| ! [Y6] :
( ! [Y9] :
( ~ r2(Y9,Y6)
| ~ r1(Y9) )
| ~ r3(Y6,Y4,Y1) ) )
| ! [Y2] :
( ! [Y3] :
( ! [Y5] :
( ! [Y8] :
( ~ r2(Y8,Y5)
| ~ r1(Y8) )
| ~ r2(Y5,Y3) )
| ~ r2(Y3,Y2) )
| Y1 != Y2 ) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ r2(X9,X8)
| ~ r1(X9)
| ~ r2(X8,X6)
| ~ r2(X7,X5)
| ~ r1(X7)
| ~ r3(X5,X6,X0)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X2)
| ~ r2(X2,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [Y24,X19] :
( ( X19 = Y24
| r1(X19)
| sP0_prd(X19,Y24) )
& ( ( X19 != Y24
& ~ r1(X19) )
| ~ sP0_prd(X19,Y24) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f67,plain,
( ! [Y24,X19] :
( X19 = Y24
| r1(X19)
| sP0_prd(X19,Y24) )
& ! [Y24,X19] :
( ( X19 != Y24
& ~ r1(X19) )
| ~ sP0_prd(X19,Y24) ) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( X0 != X1
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f71,plain,
! [X11,Y21,X12] :
( ( X12 = Y21
| r2(X11,X12)
| sP1_prd(X12,Y21,X11) )
& ( ( X12 != Y21
& ~ r2(X11,X12) )
| ~ sP1_prd(X12,Y21,X11) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f72,plain,
( ! [X11,Y21,X12] :
( X12 = Y21
| r2(X11,X12)
| sP1_prd(X12,Y21,X11) )
& ! [X11,Y21,X12] :
( ( X12 != Y21
& ~ r2(X11,X12) )
| ~ sP1_prd(X12,Y21,X11) ) ),
inference(miniscoping,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ r2(X2,X0)
| ~ sP1_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( X0 != X1
| ~ sP1_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f76,plain,
! [X13,X14,Y22,X15] :
( ( X15 = Y22
| r3(X13,X14,X15)
| sP2_prd(X15,Y22,X14,X13) )
& ( ( X15 != Y22
& ~ r3(X13,X14,X15) )
| ~ sP2_prd(X15,Y22,X14,X13) ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f77,plain,
( ! [X13,X14,Y22,X15] :
( X15 = Y22
| r3(X13,X14,X15)
| sP2_prd(X15,Y22,X14,X13) )
& ! [X13,X14,Y22,X15] :
( ( X15 != Y22
& ~ r3(X13,X14,X15) )
| ~ sP2_prd(X15,Y22,X14,X13) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ~ r3(X3,X2,X0)
| ~ sP2_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f91,plain,
! [X0,X1] : r2(sK7_skl(X0,X1),sK5_skl(X0,X1)),
inference(forward_demodulation,[status(thm)],[f37,f38]) ).
fof(f94,plain,
! [X0] : r3(X0,sK13_skl(X0),X0),
inference(backward_demodulation,[status(thm)],[f50,f49]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ r2(X8,X7)
| ~ r1(X8)
| ~ r2(X7,X5)
| ~ r2(X6,X4)
| ~ r1(X6)
| ~ r3(X4,X5,X1)
| ~ r2(X3,X2)
| ~ r1(X3)
| ~ r2(X2,X0)
| ~ r2(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f65]) ).
fof(f98,plain,
! [X0] : ~ sP0_prd(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f69]) ).
fof(f99,plain,
! [X0,X1] : ~ sP1_prd(X0,X0,X1),
inference(destructive_equality_resolution,[status(thm)],[f74]) ).
fof(f103,plain,
r1(sK0_skl),
inference(resolution,[status(thm)],[f17,f98]) ).
fof(f114,plain,
! [X0] :
( ~ r1(X0)
| X0 = sK0_skl ),
inference(resolution,[status(thm)],[f18,f68]) ).
fof(f119,plain,
! [X0] : sK13_skl(X0) = sK0_skl,
inference(resolution,[status(thm)],[f114,f48]) ).
fof(f124,plain,
! [X0] : r3(X0,sK0_skl,X0),
inference(backward_demodulation,[status(thm)],[f119,f94]) ).
fof(f141,plain,
! [X0] : r2(X0,sK1_skl(X0)),
inference(resolution,[status(thm)],[f22,f99]) ).
fof(f142,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| X0 = sK1_skl(X1) ),
inference(resolution,[status(thm)],[f23,f73]) ).
fof(f199,plain,
! [X0,X1] : sK6_skl(X0,X1) = sK1_skl(X0),
inference(resolution,[status(thm)],[f142,f35]) ).
fof(f239,plain,
! [X0,X1] : r3(X0,sK1_skl(X1),sK5_skl(X1,X0)),
inference(backward_demodulation,[status(thm)],[f199,f36]) ).
fof(f272,plain,
! [X0,X1] : sK5_skl(X0,X1) = sK1_skl(sK7_skl(X0,X1)),
inference(resolution,[status(thm)],[f91,f142]) ).
fof(f288,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,sK1_skl(X1))
| ~ r2(X5,X2)
| ~ r1(X5)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r2(X3,X0)
| ~ r2(X0,sK5_skl(X1,X2)) ),
inference(resolution,[status(thm)],[f239,f97]) ).
fof(f316,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r2(X6,X5)
| ~ r1(X6)
| ~ r2(X5,sK1_skl(X1))
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X3,X0)
| ~ r1(X3)
| ~ r2(X0,sK7_skl(X1,X2)) ),
inference(resolution,[status(thm)],[f288,f91]) ).
fof(f331,plain,
! [X0,X1,X2] :
( X2 = sK2_skl(X1,X0)
| ~ r3(X0,X1,X2) ),
inference(resolution,[status(thm)],[f78,f28]) ).
fof(f334,plain,
! [X0,X1] : sK5_skl(X0,X1) = sK2_skl(sK1_skl(X0),X1),
inference(resolution,[status(thm)],[f331,f239]) ).
fof(f335,plain,
! [X0] : X0 = sK2_skl(sK0_skl,X0),
inference(resolution,[status(thm)],[f331,f124]) ).
fof(f337,plain,
! [X0,X1] : sK7_skl(X0,X1) = sK2_skl(X0,X1),
inference(resolution,[status(thm)],[f331,f39]) ).
fof(f343,plain,
! [X0] : X0 = sK7_skl(sK0_skl,X0),
inference(backward_demodulation,[status(thm)],[f337,f335]) ).
fof(f344,plain,
! [X0,X1] : sK5_skl(X0,X1) = sK7_skl(sK1_skl(X0),X1),
inference(backward_demodulation,[status(thm)],[f337,f334]) ).
fof(f348,plain,
! [X0] : sK5_skl(sK0_skl,X0) = sK1_skl(X0),
inference(paramodulation,[status(thm)],[f343,f272]) ).
fof(f398,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r2(X6,X5)
| ~ r1(X6)
| ~ r2(X5,sK1_skl(sK1_skl(X1)))
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X3,X0)
| ~ r1(X3)
| ~ r2(X0,sK5_skl(X1,X2)) ),
inference(paramodulation,[status(thm)],[f344,f316]) ).
fof(f482,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r2(X5,sK1_skl(X1))
| ~ r1(X5)
| ~ r2(X4,X2)
| ~ r1(X4)
| ~ r2(X3,X0)
| ~ r1(X3)
| ~ r2(X0,sK5_skl(X1,X2)) ),
inference(resolution,[status(thm)],[f398,f141]) ).
fof(f487,plain,
! [X0,X1,X2,X3,X4] :
( ~ r2(X4,sK1_skl(sK0_skl))
| ~ r1(X4)
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ r2(X2,X0)
| ~ r1(X2)
| ~ r2(X0,sK1_skl(X1)) ),
inference(paramodulation,[status(thm)],[f348,f482]) ).
fof(f488,definition,
! [X0,X1,X2,X3] :
( sQ10_spl
<=> ( ~ r2(X3,X1)
| ~ r1(X3)
| ~ r2(X2,X0)
| ~ r1(X2)
| ~ r2(X0,sK1_skl(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f489,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ r2(X2,X0)
| ~ r1(X2)
| ~ r2(X0,sK1_skl(X1)) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
! [X4] :
( sQ11_spl
<=> ( ~ r2(X4,sK1_skl(sK0_skl))
| ~ r1(X4) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f492,plain,
! [X0] :
( ~ sQ11_spl
| ~ r2(X0,sK1_skl(sK0_skl))
| ~ r1(X0) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f487,f488,f491]) ).
fof(f495,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ r2(X2,X1)
| ~ r1(X2)
| ~ r2(X0,X1)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f489,f141]) ).
fof(f517,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ r1(X1)
| ~ r2(X0,sK1_skl(X1))
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f495,f141]) ).
fof(f518,plain,
! [X0] :
( ~ sQ10_spl
| ~ r1(X0)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f517,f141]) ).
fof(f524,plain,
( ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f103,f526]) ).
fof(f526,plain,
! [X0] :
( ~ sQ10_spl
| ~ r1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f518]) ).
fof(f534,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f569,plain,
( ~ sQ11_spl
| ~ r1(sK0_skl) ),
inference(resolution,[status(thm)],[f492,f141]) ).
fof(f570,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f103]) ).
fof(f571,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f572,plain,
$false,
inference(sat_refutation,[status(thm)],[f494,f534,f571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN056+2 : 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 : n017.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 03:18:11 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.45 % Refutation found
% 0.12/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.48 % Elapsed time: 0.106749 seconds
% 0.12/0.48 % CPU time: 0.603978 seconds
% 0.12/0.48 % Total memory used: 109.832 MB
% 0.12/0.48 % Net memory used: 108.362 MB
%------------------------------------------------------------------------------