%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUN084+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 : Sun Sep 27 08:19:24 AM UTC 2026
% Result : Theorem 0.16s 5.91s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 104 ( 61 unt; 0 def)
% Number of atoms : 222 ( 109 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 183 ( 65 ~; 43 |; 75 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 250 ( 37 sgn 63 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
? [Y24] :
! [X19] :
( ( X19 = Y24
& r1(X19) )
| ( X19 != Y24
& ~ r1(X19) ) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( X12 = Y21
& r2(X11,X12) )
| ( X12 != Y21
& ~ r2(X11,X12) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( X15 = Y22
& r3(X13,X14,X15) )
| ( X15 != Y22
& ~ r3(X13,X14,X15) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X16,X17] :
? [Y23] :
! [X18] :
( ( X18 = Y23
& r4(X16,X17,X18) )
| ( X18 != Y23
& ~ r4(X16,X17,X18) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_1a,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( Y5 = Y4
& ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) ) ) ),
file('theBenchmark.p',axiom_1a) ).
fof(axiom_2a,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y6] :
( r4(X2,X9,Y6)
& r3(Y6,X2,Y2) )
& ? [Y3] :
( Y3 = Y2
& ? [Y14] :
( r4(X2,Y14,Y3)
& r2(X9,Y14) ) ) ),
file('theBenchmark.p',axiom_2a) ).
fof(axiom_4a,axiom,
! [X4] :
? [Y9] :
( Y9 = X4
& ? [Y16] :
( r3(X4,Y16,Y9)
& r1(Y16) ) ),
file('theBenchmark.p',axiom_4a) ).
fof(axiom_5a,axiom,
! [X5] :
? [Y8] :
( ? [Y18] :
( Y8 = Y18
& r1(Y18) )
& ? [Y17] :
( r4(X5,Y17,Y8)
& r1(Y17) ) ),
file('theBenchmark.p',axiom_5a) ).
fof(xtimesyeqtwo,conjecture,
? [Y1,Y2,Y3] :
( ? [Y4] :
( ? [Y5] :
( ? [Y6] :
( r2(Y6,Y5)
& r1(Y6) )
& r2(Y5,Y4) )
& Y3 = Y4 )
& r4(Y1,Y2,Y3) ),
file('theBenchmark.p',xtimesyeqtwo) ).
fof(xtimesyeqtwo_neg,negated_conjecture,
~ ? [Y1,Y2,Y3] :
( ? [Y4] :
( ? [Y5] :
( ? [Y6] :
( r2(Y6,Y5)
& r1(Y6) )
& r2(Y5,Y4) )
& Y3 = Y4 )
& r4(Y1,Y2,Y3) ),
inference(assume_negation,[status(cth)],[xtimesyeqtwo]) ).
fof(nnf_1,plain,
? [Y24] :
! [X19] :
( ( Y24 = X19
& r1(X19) )
| ( Y24 != X19
& ~ r1(X19) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(sk_axiom_1_sk,plain,
! [X19] :
( ( sK0 = X19
& r1(X19) )
| ( sK0 != X19
& ~ r1(X19) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(Y24,sK0)],[nnf_1]) ).
fof(sk_axiom_1,plain,
( ! [VAR_0] :
( r1(VAR_0)
| sK0 != VAR_0 )
& ! [VAR_0] :
( sK0 = VAR_0
| ~ r1(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_1_sk]) ).
cnf(c_13,plain,
( r1(A)
| sK0 != A ),
inference(split_conjunct,[status(thm)],[sk_axiom_1]) ).
cnf(c_14,plain,
( sK0 = A
| ~ r1(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_1]) ).
fof(nnf_8,plain,
! [X4] :
? [Y9] :
( Y9 = X4
& ? [Y16] :
( r3(X4,Y16,Y9)
& r1(Y16) ) ),
inference(fof_nnf,[status(thm)],[axiom_4a]) ).
fof(sk_axiom_4a,plain,
! [X4] :
( sK10(X4) = X4
& r3(X4,sK1(X4),sK10(X4))
& r1(sK1(X4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK10]),skolemize(Y9,sK10(X4)),skolemize(Y16,sK1(X4))],[nnf_8]) ).
cnf(c_15,plain,
r1(sK1(A)),
inference(split_conjunct,[status(thm)],[sk_axiom_4a]) ).
fof(nnf_9,plain,
! [X5] :
? [Y8] :
( ? [Y18] :
( Y18 = Y8
& r1(Y18) )
& ? [Y17] :
( r4(X5,Y17,Y8)
& r1(Y17) ) ),
inference(fof_nnf,[status(thm)],[axiom_5a]) ).
fof(sk_axiom_5a,plain,
! [X5] :
( sK3(X5) = sK14(X5)
& r1(sK3(X5))
& r4(X5,sK2(X5),sK14(X5))
& r1(sK2(X5)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK14,sK3]),skolemize(Y8,sK14(X5)),skolemize(Y17,sK2(X5)),skolemize(Y18,sK3(X5))],[nnf_9]) ).
cnf(c_16,plain,
r1(sK2(A)),
inference(split_conjunct,[status(thm)],[sk_axiom_5a]) ).
cnf(c_17,plain,
r1(sK3(A)),
inference(split_conjunct,[status(thm)],[sk_axiom_5a]) ).
cnf(c_21,negated_conjecture,
( ~ r2(F,E)
| ~ r1(F)
| ~ r2(E,D)
| C != D
| ~ r4(A,B,C) ),
inference(clausify,[status(thm)],[xtimesyeqtwo_neg]) ).
fof(nnf_3,plain,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( Y22 = X15
& r3(X13,X14,X15) )
| ( Y22 != X15
& ~ r3(X13,X14,X15) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(sk_axiom_3_sk,plain,
! [X13,X14,X15] :
( ( sK4(X13,X14) = X15
& r3(X13,X14,X15) )
| ( sK4(X13,X14) != X15
& ~ r3(X13,X14,X15) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(Y22,sK4(X13,X14))],[nnf_3]) ).
fof(sk_axiom_3,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( r3(VAR_0,VAR_1,VAR_2)
| sK4(VAR_0,VAR_1) != VAR_2 )
& ! [VAR_0,VAR_1,VAR_2] :
( sK4(VAR_0,VAR_1) = VAR_2
| ~ r3(VAR_0,VAR_1,VAR_2) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_3_sk]) ).
cnf(c_22,plain,
( sK4(A,B) = C
| ~ r3(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_axiom_3]) ).
fof(nnf_5,plain,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( Y4 = Y5
& ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) ) ) ),
inference(fof_nnf,[status(thm)],[axiom_1a]) ).
fof(sk_axiom_1a,plain,
! [X1,X8] :
( r3(X1,X8,sK7(X1,X8))
& r2(sK7(X1,X8),sK15(X1,X8))
& sK15(X1,X8) = sK6(X1,X8)
& r3(X1,sK5(X1,X8),sK6(X1,X8))
& r2(X8,sK5(X1,X8)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK15,sK7]),skolemize(Y4,sK15(X1,X8)),skolemize(Y5,sK6(X1,X8)),skolemize(Y15,sK5(X1,X8)),skolemize(Y7,sK7(X1,X8))],[nnf_5]) ).
cnf(c_24,plain,
r3(A,sK5(A,B),sK6(A,B)),
inference(split_conjunct,[status(thm)],[sk_axiom_1a]) ).
cnf(c_25,plain,
r3(A,B,sK7(A,B)),
inference(split_conjunct,[status(thm)],[sk_axiom_1a]) ).
fof(nnf_6,plain,
! [X2,X9] :
? [Y2] :
( ? [Y6] :
( r4(X2,X9,Y6)
& r3(Y6,X2,Y2) )
& ? [Y3] :
( Y2 = Y3
& ? [Y14] :
( r4(X2,Y14,Y3)
& r2(X9,Y14) ) ) ),
inference(fof_nnf,[status(thm)],[axiom_2a]) ).
fof(sk_axiom_2a,plain,
! [X2,X9] :
( r4(X2,X9,sK8(X2,X9))
& r3(sK8(X2,X9),X2,sK9(X2,X9))
& sK9(X2,X9) = sK13(X2,X9)
& r4(X2,sK12(X2,X9),sK13(X2,X9))
& r2(X9,sK12(X2,X9)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK9,sK8]),skolemize(Y2,sK9(X2,X9)),skolemize(Y3,sK13(X2,X9)),skolemize(Y14,sK12(X2,X9)),skolemize(Y6,sK8(X2,X9))],[nnf_6]) ).
cnf(c_26,plain,
r3(sK8(A,B),A,sK9(A,B)),
inference(split_conjunct,[status(thm)],[sk_axiom_2a]) ).
cnf(c_27,plain,
r3(A,sK1(A),sK10(A)),
inference(split_conjunct,[status(thm)],[sk_axiom_4a]) ).
fof(nnf_4,plain,
! [X16,X17] :
? [Y23] :
! [X18] :
( ( Y23 = X18
& r4(X16,X17,X18) )
| ( Y23 != X18
& ~ r4(X16,X17,X18) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(sk_axiom_4_sk,plain,
! [X16,X17,X18] :
( ( sK11(X16,X17) = X18
& r4(X16,X17,X18) )
| ( sK11(X16,X17) != X18
& ~ r4(X16,X17,X18) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(Y23,sK11(X16,X17))],[nnf_4]) ).
fof(sk_axiom_4,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( r4(VAR_0,VAR_1,VAR_2)
| sK11(VAR_0,VAR_1) != VAR_2 )
& ! [VAR_0,VAR_1,VAR_2] :
( sK11(VAR_0,VAR_1) = VAR_2
| ~ r4(VAR_0,VAR_1,VAR_2) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_4_sk]) ).
cnf(c_29,plain,
( sK11(A,B) = C
| ~ r4(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_axiom_4]) ).
cnf(c_30,plain,
r4(A,sK12(A,B),sK13(A,B)),
inference(split_conjunct,[status(thm)],[sk_axiom_2a]) ).
cnf(c_31,plain,
r4(A,B,sK8(A,B)),
inference(split_conjunct,[status(thm)],[sk_axiom_2a]) ).
cnf(c_32,plain,
r4(A,sK2(A),sK14(A)),
inference(split_conjunct,[status(thm)],[sk_axiom_5a]) ).
cnf(c_38,negated_conjecture,
( sK0 != F
| ~ r2(F,E)
| ~ r2(E,D)
| C != D
| ~ r4(A,B,C) ),
inference(resolve,[status(thm)],[c_21,c_13]) ).
cnf(c_41,negated_conjecture,
( sK0 != E
| ~ r2(E,D)
| ~ r2(D,C)
| sK8(A,B) != C ),
inference(resolve,[status(thm)],[c_38,c_31]) ).
cnf(c_63,plain,
sK11(A,sK2(A)) = sK14(A),
inference(resolve,[status(thm)],[c_32,c_29]) ).
cnf(c_64,plain,
sK14(A) = sK11(A,sK2(A)),
inference(copy,[status(thm)],[c_63]) ).
cnf(c_65,plain,
sK11(A,B) = sK8(A,B),
inference(resolve,[status(thm)],[c_31,c_29]) ).
cnf(c_66,plain,
sK11(A,sK12(A,B)) = sK13(A,B),
inference(resolve,[status(thm)],[c_30,c_29]) ).
cnf(c_650,plain,
sK8(A,sK12(A,B)) = sK13(A,B),
inference(paramod,[status(thm)],[c_65,c_66]) ).
cnf(c_67,plain,
sK13(A,B) = sK8(A,sK12(A,B)),
inference(copy,[status(thm)],[c_650]) ).
cnf(c_83,plain,
sK0 = sK3(A),
inference(resolve,[status(thm)],[c_17,c_14]) ).
cnf(c_84,plain,
sK3(A) = sK0,
inference(copy,[status(thm)],[c_83]) ).
cnf(c_85,plain,
sK0 = sK2(A),
inference(resolve,[status(thm)],[c_16,c_14]) ).
cnf(c_86,plain,
sK2(A) = sK0,
inference(copy,[status(thm)],[c_85]) ).
cnf(c_87,plain,
sK0 = sK1(A),
inference(resolve,[status(thm)],[c_15,c_14]) ).
cnf(c_88,plain,
sK1(A) = sK0,
inference(copy,[status(thm)],[c_87]) ).
cnf(c_93,plain,
sK3(A) = sK14(A),
inference(split_conjunct,[status(thm)],[sk_axiom_5a]) ).
cnf(c_651,plain,
sK0 = sK14(A),
inference(paramod,[status(thm)],[c_84,c_93]) ).
cnf(c_652,plain,
sK0 = sK11(A,sK2(A)),
inference(paramod,[status(thm)],[c_64,c_651]) ).
cnf(c_653,plain,
sK0 = sK11(A,sK0),
inference(paramod,[status(thm)],[c_86,c_652]) ).
cnf(c_654,plain,
sK0 = sK8(A,sK0),
inference(paramod,[status(thm)],[c_65,c_653]) ).
cnf(c_94,plain,
sK8(A,sK0) = sK0,
inference(copy,[status(thm)],[c_654]) ).
cnf(c_95,plain,
sK10(A) = A,
inference(split_conjunct,[status(thm)],[sk_axiom_4a]) ).
cnf(c_97,plain,
sK9(A,B) = sK13(A,B),
inference(split_conjunct,[status(thm)],[sk_axiom_2a]) ).
cnf(c_98,plain,
sK9(A,B) = sK8(A,sK12(A,B)),
inference(paramod,[status(thm)],[c_67,c_97]) ).
cnf(c_99,plain,
r2(A,sK12(B,A)),
inference(split_conjunct,[status(thm)],[sk_axiom_2a]) ).
cnf(c_100,plain,
r2(sK7(A,B),sK15(A,B)),
inference(split_conjunct,[status(thm)],[sk_axiom_1a]) ).
cnf(c_101,plain,
sK15(A,B) = sK6(A,B),
inference(split_conjunct,[status(thm)],[sk_axiom_1a]) ).
cnf(c_102,plain,
r2(A,sK5(B,A)),
inference(split_conjunct,[status(thm)],[sk_axiom_1a]) ).
fof(nnf_2,plain,
! [X11] :
? [Y21] :
! [X12] :
( ( Y21 = X12
& r2(X11,X12) )
| ( Y21 != X12
& ~ r2(X11,X12) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(sk_axiom_2_sk,plain,
! [X11,X12] :
( ( sK16(X11) = X12
& r2(X11,X12) )
| ( sK16(X11) != X12
& ~ r2(X11,X12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(Y21,sK16(X11))],[nnf_2]) ).
fof(sk_axiom_2,plain,
( ! [VAR_0,VAR_1] :
( r2(VAR_0,VAR_1)
| sK16(VAR_0) != VAR_1 )
& ! [VAR_0,VAR_1] :
( sK16(VAR_0) = VAR_1
| ~ r2(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_2_sk]) ).
cnf(c_104,plain,
( sK16(A) = B
| ~ r2(A,B) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_105,plain,
sK4(A,sK5(A,B)) = sK6(A,B),
inference(resolve,[status(thm)],[c_22,c_24]) ).
cnf(c_106,plain,
sK6(A,B) = sK4(A,sK5(A,B)),
inference(copy,[status(thm)],[c_105]) ).
cnf(c_107,plain,
sK4(A,B) = sK7(A,B),
inference(resolve,[status(thm)],[c_22,c_25]) ).
cnf(c_108,plain,
sK4(sK8(A,B),A) = sK9(A,B),
inference(resolve,[status(thm)],[c_22,c_26]) ).
cnf(c_655,plain,
sK7(sK8(A,B),A) = sK9(A,B),
inference(paramod,[status(thm)],[c_107,c_108]) ).
cnf(c_656,plain,
sK7(sK8(A,B),A) = sK8(A,sK12(A,B)),
inference(paramod,[status(thm)],[c_98,c_655]) ).
cnf(c_109,plain,
sK8(A,sK12(A,B)) = sK7(sK8(A,B),A),
inference(copy,[status(thm)],[c_656]) ).
cnf(c_110,plain,
sK4(A,sK1(A)) = sK10(A),
inference(resolve,[status(thm)],[c_22,c_27]) ).
cnf(c_657,plain,
sK4(A,sK0) = sK10(A),
inference(paramod,[status(thm)],[c_88,c_110]) ).
cnf(c_658,plain,
sK7(A,sK0) = sK10(A),
inference(paramod,[status(thm)],[c_107,c_657]) ).
cnf(c_111,plain,
sK7(A,sK0) = A,
inference(paramod,[status(thm)],[c_95,c_658]) ).
cnf(c_659,plain,
r2(sK7(A,B),sK6(A,B)),
inference(paramod,[status(thm)],[c_101,c_100]) ).
cnf(c_660,plain,
r2(sK7(A,B),sK4(A,sK5(A,B))),
inference(paramod,[status(thm)],[c_106,c_659]) ).
cnf(c_148,plain,
r2(sK7(A,B),sK7(A,sK5(A,B))),
inference(paramod,[status(thm)],[c_107,c_660]) ).
cnf(c_225,plain,
( sK0 != E
| ~ r2(E,D)
| sK8(A,B) != sK5(C,D) ),
inference(resolve,[status(thm)],[c_102,c_41]) ).
cnf(c_661,plain,
sK16(A) = sK5(B,A),
inference(resolve,[status(thm)],[c_104,c_102]) ).
cnf(c_234,plain,
sK5(A,B) = sK16(B),
inference(copy,[status(thm)],[c_661]) ).
cnf(c_662,plain,
sK16(A) = sK12(B,A),
inference(resolve,[status(thm)],[c_104,c_99]) ).
cnf(c_235,plain,
sK12(A,B) = sK16(B),
inference(copy,[status(thm)],[c_662]) ).
cnf(c_241,plain,
( sK0 != D
| ~ r2(D,C)
| sK8(A,B) != sK16(C) ),
inference(paramod,[status(thm)],[c_234,c_225]) ).
cnf(c_254,plain,
r2(sK7(A,B),sK7(A,sK16(B))),
inference(paramod,[status(thm)],[c_234,c_148]) ).
cnf(c_663,plain,
sK8(A,sK16(B)) = sK7(sK8(A,B),A),
inference(paramod,[status(thm)],[c_235,c_109]) ).
cnf(c_255,plain,
sK7(sK8(A,B),A) = sK8(A,sK16(B)),
inference(copy,[status(thm)],[c_663]) ).
cnf(c_664,plain,
( sK0 != sK7(C,D)
| sK8(A,B) != sK16(sK7(C,sK16(D))) ),
inference(resolve,[status(thm)],[c_254,c_241]) ).
cnf(c_402,plain,
( sK7(C,D) != sK0
| sK8(A,B) != sK16(sK7(C,sK16(D))) ),
inference(copy,[status(thm)],[c_664]) ).
cnf(c_411,plain,
sK16(sK7(A,B)) = sK7(A,sK16(B)),
inference(resolve,[status(thm)],[c_254,c_104]) ).
cnf(c_423,plain,
( sK7(C,D) != sK0
| sK8(A,B) != sK7(C,sK16(sK16(D))) ),
inference(paramod,[status(thm)],[c_411,c_402]) ).
cnf(c_665,plain,
sK7(sK0,A) = sK8(A,sK16(sK0)),
inference(paramod,[status(thm)],[c_94,c_255]) ).
cnf(c_629,plain,
sK8(A,sK16(sK0)) = sK7(sK0,A),
inference(copy,[status(thm)],[c_665]) ).
cnf(c_648,plain,
sK7(sK0,A) != sK0,
inference(resolve,[status(thm)],[c_629,c_423]) ).
cnf(c_649,plain,
$false,
inference(resolve,[status(thm)],[c_648,c_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN084+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n020.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sat Sep 26 04:33:10 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.40 % Process 619830 was started by sandbox2 on n020,
% 0.11/5.40 % Sat Sep 26 04:33:10 2026
% 0.11/5.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/5.41
% 0.16/5.41 % From the command line: assign(max_seconds, 300).
% 0.16/5.91
% 0.16/5.91 % SZS status Theorem for theBenchmark
% 0.16/5.91
% 0.16/5.91 % Proof 1 at 0.34 (+ 0.14) seconds.
% 0.16/5.91 % Length of proof is 67.
% 0.16/5.91 % Level of proof is 9.
% 0.16/5.91 % Maximum clause weight is 36.000.
% 0.16/5.91 % Given clauses 162.
% 0.16/5.91
% 0.16/5.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------