%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LCL650+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 07:59:19 AM UTC 2026
% Result : Theorem 0.10s 0.46s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 1
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 507 ( 0 equ)
% Maximal formula atoms : 64 ( 11 avg)
% Number of connectives : 881 ( 420 ~; 374 |; 87 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 283 ( 0 sgn 88 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p1(X) )
| ( ~ p1(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
file('theBenchmark.p',main) ).
fof(main_neg,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p1(X) )
| ( ~ p1(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(nnf_1,plain,
? [X] :
( ? [Y] :
( ? [X16] :
( ? [X17] :
( ? [X18] :
( ( ~ p1(X18)
| ~ p2(X18)
| ~ p3(X18)
| ~ p4(X18) )
& r1(X17,X18) )
& r1(X16,X17) )
& r1(Y,X16) )
& r1(X,Y) )
& ! [X5] :
( ( ! [X10] :
( ( ! [X14] :
( ! [X15] :
( ( ( ~ p1(X15)
| ~ p2(X15) )
& ( p2(X15)
| p1(X15) ) )
| ~ r1(X14,X15) )
| ~ r1(X10,X14) )
& ? [X13] :
( ~ p3(X13)
& r1(X10,X13) )
& ! [X11] :
( ! [X12] :
( ( ( ~ p2(X12)
| ~ p3(X12) )
& ( p3(X12)
| p2(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) ) )
| ~ r1(X5,X10) )
& ? [X9] :
( ~ p4(X9)
& r1(X5,X9) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ( ~ p3(X8)
| ~ p1(X8) )
& ( p1(X8)
| p3(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) ) )
| ~ r1(X,X5) )
& ? [X4] :
( ~ p5(X4)
& r1(X,X4) )
& ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( p2(X3)
| p4(X3)
| p6(X3)
| p8(X3) )
& r1(X2,X3) )
& r1(X1,X2) )
& r1(X0,X1) )
& r1(X,X0) ) ),
inference(fof_nnf,[status(thm)],[main_neg]) ).
fof(sk_main_neg_sk,plain,
( ( ~ p1(sK11)
| ~ p2(sK11)
| ~ p3(sK11)
| ~ p4(sK11) )
& r1(sK10,sK11)
& r1(sK9,sK10)
& r1(sK8,sK9)
& r1(sK0,sK8)
& ! [X5] :
( ( ! [X10] :
( ( ! [X14] :
( ! [X15] :
( ( ( ~ p1(X15)
| ~ p2(X15) )
& ( p2(X15)
| p1(X15) ) )
| ~ r1(X14,X15) )
| ~ r1(X10,X14) )
& ~ p3(sK7(X5,X10))
& r1(X10,sK7(X5,X10))
& ! [X11] :
( ! [X12] :
( ( ( ~ p2(X12)
| ~ p3(X12) )
& ( p3(X12)
| p2(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) ) )
| ~ r1(X5,X10) )
& ~ p4(sK6(X5))
& r1(X5,sK6(X5))
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ( ~ p3(X8)
| ~ p1(X8) )
& ( p1(X8)
| p3(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) ) )
| ~ r1(sK0,X5) )
& ~ p5(sK5)
& r1(sK0,sK5)
& ( p2(sK2)
| p4(sK2)
| p6(sK2)
| p8(sK2) )
& r1(sK1,sK2)
& r1(sK3,sK1)
& r1(sK4,sK3)
& r1(sK0,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK4,sK3,sK1,sK2,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X,sK0),skolemize(X0,sK4),skolemize(X1,sK3),skolemize(X2,sK1),skolemize(X3,sK2),skolemize(X4,sK5),skolemize(X9,sK6(X5)),skolemize(X13,sK7(X5,X10)),skolemize(Y,sK8),skolemize(X16,sK9),skolemize(X17,sK10),skolemize(X18,sK11)],[nnf_1]) ).
fof(sk_main_neg,plain,
( ( ~ p1(sK11)
| ~ p2(sK11)
| ~ p3(sK11)
| ~ p4(sK11) )
& r1(sK10,sK11)
& r1(sK9,sK10)
& r1(sK8,sK9)
& r1(sK0,sK8)
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p1(VAR_3)
| ~ p2(VAR_3)
| ~ r1(VAR_2,VAR_3)
| ~ r1(VAR_1,VAR_2)
| ~ r1(VAR_0,VAR_1)
| ~ r1(sK0,VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( p2(VAR_3)
| p1(VAR_3)
| ~ r1(VAR_2,VAR_3)
| ~ r1(VAR_1,VAR_2)
| ~ r1(VAR_0,VAR_1)
| ~ r1(sK0,VAR_0) )
& ! [VAR_0,VAR_1] :
( ~ p3(sK7(VAR_0,VAR_1))
| ~ r1(VAR_0,VAR_1)
| ~ r1(sK0,VAR_0) )
& ! [VAR_0,VAR_1] :
( r1(VAR_1,sK7(VAR_0,VAR_1))
| ~ r1(VAR_0,VAR_1)
| ~ r1(sK0,VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_3)
| ~ p3(VAR_3)
| ~ r1(VAR_2,VAR_3)
| ~ r1(VAR_1,VAR_2)
| ~ r1(VAR_0,VAR_1)
| ~ r1(sK0,VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( p3(VAR_3)
| p2(VAR_3)
| ~ r1(VAR_2,VAR_3)
| ~ r1(VAR_1,VAR_2)
| ~ r1(VAR_0,VAR_1)
| ~ r1(sK0,VAR_0) )
& ! [VAR_0] :
( ~ p4(sK6(VAR_0))
| ~ r1(sK0,VAR_0) )
& ! [VAR_0] :
( r1(VAR_0,sK6(VAR_0))
| ~ r1(sK0,VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_3)
| ~ p1(VAR_3)
| ~ r1(VAR_2,VAR_3)
| ~ r1(VAR_1,VAR_2)
| ~ r1(VAR_0,VAR_1)
| ~ r1(sK0,VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( p1(VAR_3)
| p3(VAR_3)
| ~ r1(VAR_2,VAR_3)
| ~ r1(VAR_1,VAR_2)
| ~ r1(VAR_0,VAR_1)
| ~ r1(sK0,VAR_0) )
& ~ p5(sK5)
& r1(sK0,sK5)
& ( p2(sK2)
| p4(sK2)
| p6(sK2)
| p8(sK2) )
& r1(sK1,sK2)
& r1(sK3,sK1)
& r1(sK4,sK3)
& r1(sK0,sK4) ),
inference(cnf_transformation,[status(thm)],[sk_main_neg_sk]) ).
cnf(c_2,negated_conjecture,
( ~ p2(D)
| ~ p3(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_3,negated_conjecture,
( p3(D)
| p2(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_4,negated_conjecture,
( p2(D)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_5,negated_conjecture,
( ~ p1(D)
| ~ p2(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_6,negated_conjecture,
( ~ p3(D)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_7,negated_conjecture,
( p1(D)
| p3(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_9,negated_conjecture,
( ~ p3(D)
| ~ r1(V6,D)
| ~ r1(F,V6)
| ~ r1(E,F)
| ~ r1(sK0,E)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(resolve,[status(thm)],[c_4,c_2]) ).
cnf(c_10,negated_conjecture,
( p3(D)
| ~ r1(V6,D)
| ~ r1(F,V6)
| ~ r1(E,F)
| ~ r1(sK0,E)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(resolve,[status(thm)],[c_5,c_3]) ).
cnf(c_11,negated_conjecture,
( ~ p1(D)
| ~ r1(V9,D)
| ~ r1(V8,V9)
| ~ r1(V7,V8)
| ~ r1(sK0,V7)
| ~ r1(V6,D)
| ~ r1(F,V6)
| ~ r1(E,F)
| ~ r1(sK0,E)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(resolve,[status(thm)],[c_10,c_6]) ).
cnf(c_12,negated_conjecture,
( ~ r1(V9,D)
| ~ r1(V8,V9)
| ~ r1(V7,V8)
| ~ r1(sK0,V7)
| ~ r1(V6,D)
| ~ r1(F,V6)
| ~ r1(E,F)
| ~ r1(sK0,E)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_11]) ).
cnf(c_14,negated_conjecture,
( p1(D)
| ~ r1(V9,D)
| ~ r1(V8,V9)
| ~ r1(V7,V8)
| ~ r1(sK0,V7)
| ~ r1(V6,D)
| ~ r1(F,V6)
| ~ r1(E,F)
| ~ r1(sK0,E)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(resolve,[status(thm)],[c_9,c_7]) ).
cnf(c_15,negated_conjecture,
( ~ r1(V9,D)
| ~ r1(V8,V9)
| ~ r1(V7,V8)
| ~ r1(sK0,V7)
| ~ r1(V6,D)
| ~ r1(F,V6)
| ~ r1(E,F)
| ~ r1(sK0,E)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_14]) ).
cnf(c_24,negated_conjecture,
r1(sK1,sK2),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_25,negated_conjecture,
r1(sK3,sK1),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_26,negated_conjecture,
r1(sK4,sK3),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_27,negated_conjecture,
r1(sK0,sK4),
inference(split_conjunct,[status(thm)],[sk_main_neg]) ).
cnf(c_31,plain,
( ~ r1(V8,D)
| ~ r1(V7,V8)
| ~ r1(V6,V7)
| ~ r1(sK0,V6)
| ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(factor,[status(thm)],[c_12]) ).
cnf(c_42,plain,
( ~ r1(V8,D)
| ~ r1(V7,V8)
| ~ r1(V6,V7)
| ~ r1(sK0,V6)
| ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(factor,[status(thm)],[c_15]) ).
cnf(c_68,plain,
( ~ r1(V7,D)
| ~ r1(V6,V7)
| ~ r1(A,V6)
| ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(factor,[status(thm)],[c_31]) ).
cnf(c_98,plain,
( ~ r1(V7,D)
| ~ r1(V6,V7)
| ~ r1(A,V6)
| ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(factor,[status(thm)],[c_42]) ).
cnf(c_431,plain,
( ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| ~ r1(C,D)
| ~ r1(A,B)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(factor,[status(thm)],[c_68]) ).
cnf(c_432,plain,
( ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| ~ r1(C,D)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_431]) ).
cnf(c_133,plain,
( ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_432]) ).
cnf(c_433,plain,
( ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| ~ r1(C,D)
| ~ r1(A,B)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(factor,[status(thm)],[c_98]) ).
cnf(c_434,plain,
( ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| ~ r1(C,D)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_433]) ).
cnf(c_167,plain,
( ~ r1(F,D)
| ~ r1(E,F)
| ~ r1(A,E)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_434]) ).
cnf(c_435,plain,
( ~ r1(C,D)
| ~ r1(A,B)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(factor,[status(thm)],[c_133]) ).
cnf(c_436,plain,
( ~ r1(C,D)
| ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_435]) ).
cnf(c_186,plain,
( ~ p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_436]) ).
cnf(c_437,plain,
( ~ r1(C,D)
| ~ r1(A,B)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(factor,[status(thm)],[c_167]) ).
cnf(c_438,plain,
( ~ r1(C,D)
| p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_437]) ).
cnf(c_206,plain,
( p1(D)
| ~ r1(C,D)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK0,A) ),
inference(copy,[status(thm)],[c_438]) ).
cnf(c_439,negated_conjecture,
( ~ p1(C)
| ~ r1(B,C)
| ~ r1(A,B)
| ~ r1(sK4,A) ),
inference(resolve,[status(thm)],[c_186,c_27]) ).
cnf(c_440,negated_conjecture,
( ~ p1(B)
| ~ r1(A,B)
| ~ r1(sK3,A) ),
inference(resolve,[status(thm)],[c_439,c_26]) ).
cnf(c_441,negated_conjecture,
( ~ p1(A)
| ~ r1(sK1,A) ),
inference(resolve,[status(thm)],[c_440,c_25]) ).
cnf(c_289,negated_conjecture,
~ p1(sK2),
inference(resolve,[status(thm)],[c_441,c_24]) ).
cnf(c_442,negated_conjecture,
( p1(B)
| ~ r1(A,B)
| ~ r1(sK3,A)
| ~ r1(sK0,sK4) ),
inference(resolve,[status(thm)],[c_206,c_26]) ).
cnf(c_443,negated_conjecture,
( p1(A)
| ~ r1(sK1,A)
| ~ r1(sK0,sK4) ),
inference(resolve,[status(thm)],[c_442,c_25]) ).
cnf(c_444,negated_conjecture,
( p1(sK2)
| ~ r1(sK0,sK4) ),
inference(resolve,[status(thm)],[c_443,c_24]) ).
cnf(c_445,negated_conjecture,
~ r1(sK0,sK4),
inference(resolve,[status(thm)],[c_444,c_289]) ).
cnf(c_430,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_27,c_445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL650+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 22:59:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3070939 was started by sandbox2 on n018,
% 0.10/0.37 % Fri Sep 25 22:59:36 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.10/0.46
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46
% 0.10/0.46 % Proof 1 at 0.05 (+ 0.02) seconds.
% 0.10/0.46 % Length of proof is 27.
% 0.10/0.46 % Level of proof is 10.
% 0.10/0.46 % Maximum clause weight is 38.000.
% 0.10/0.46 % Given clauses 36.
% 0.10/0.46
% 0.10/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------