%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO652+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:18:18 AM UTC 2026
% Result : Theorem 33.59s 5.33s
% Output : CNFRefutation 33.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 98 ( 43 unt; 0 def)
% Number of atoms : 224 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 175 ( 49 ~; 45 |; 62 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 23 ( 23 usr; 22 con; 0-4 aty)
% Number of variables : 303 ( 27 sgn 132 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,D)
& coll(A,B,C) )
=> coll(C,D,A) ),
file('theBenchmark.p',ruleD3) ).
fof(ruleD4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('theBenchmark.p',ruleD4) ).
fof(ruleD5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('theBenchmark.p',ruleD5) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('theBenchmark.p',ruleD8) ).
fof(ruleD9,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& perp(A,B,C,D) )
=> para(A,B,E,F) ),
file('theBenchmark.p',ruleD9) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('theBenchmark.p',ruleD14) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('theBenchmark.p',ruleD15) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('theBenchmark.p',ruleD16) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,E)
& cyclic(A,B,C,D) )
=> cyclic(B,C,D,E) ),
file('theBenchmark.p',ruleD17) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ),
file('theBenchmark.p',ruleD19) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ),
file('theBenchmark.p',ruleD39) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('theBenchmark.p',ruleD40) ).
fof(ruleD42b,axiom,
! [A,B,P,Q] :
( ( coll(P,Q,B)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('theBenchmark.p',ruleD42b) ).
fof(ruleD43,axiom,
! [A,B,C,P,Q,R] :
( ( eqangle(C,A,C,B,R,P,R,Q)
& cyclic(A,B,C,R)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,P) )
=> cong(A,B,P,Q) ),
file('theBenchmark.p',ruleD43) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(A,B,P,Q) ),
file('theBenchmark.p',ruleD56) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('theBenchmark.p',ruleD66) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ),
file('theBenchmark.p',ruleX11) ).
fof(exemplo6GDDFULLmoreE02213,conjecture,
! [A,B,C,D,E,F,G,H,I,J,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01,NWPNT11,NWPNT21] :
( ( circle(C,B,J,NWPNT21)
& coll(B,G,J)
& circle(C,D,I,NWPNT11)
& coll(D,H,I)
& circle(A,B,H,NWPNT01)
& coll(B,F,H)
& circle(A,D,G,NWPNT9)
& coll(D,E,G)
& circle(C,B,F,NWPNT8)
& circle(C,B,E,NWPNT7)
& circle(C,B,D,NWPNT6)
& circle(A,B,D,NWPNT5)
& circle(C,B,NWPNT3,NWPNT4)
& circle(A,B,NWPNT1,NWPNT2) )
=> para(E,F,I,J) ),
file('theBenchmark.p',exemplo6GDDFULLmoreE02213) ).
fof(exemplo6GDDFULLmoreE02213_neg,negated_conjecture,
~ ! [A,B,C,D,E,F,G,H,I,J,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01,NWPNT11,NWPNT21] :
( ( circle(C,B,J,NWPNT21)
& coll(B,G,J)
& circle(C,D,I,NWPNT11)
& coll(D,H,I)
& circle(A,B,H,NWPNT01)
& coll(B,F,H)
& circle(A,D,G,NWPNT9)
& coll(D,E,G)
& circle(C,B,F,NWPNT8)
& circle(C,B,E,NWPNT7)
& circle(C,B,D,NWPNT6)
& circle(A,B,D,NWPNT5)
& circle(C,B,NWPNT3,NWPNT4)
& circle(A,B,NWPNT1,NWPNT2) )
=> para(E,F,I,J) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02213]) ).
fof(nnf_87,plain,
! [A,B,C,O] :
? [P] :
( perp(P,A,A,O)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleX11]) ).
fof(sk_ruleX11,plain,
! [A,B,C,O] :
( perp(sK0(A,B,C,O),A,A,O)
| ~ circle(O,A,B,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(P,sK0(A,B,C,O))],[nnf_87]) ).
cnf(c_102,plain,
( perp(sK0(B,C,D,A),B,B,A)
| ~ circle(A,B,C,D) ),
inference(split_conjunct,[status(thm)],[sk_ruleX11]) ).
fof(nnf_95,plain,
? [A,B,C,D,E,F,G,H,I,J,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01,NWPNT11,NWPNT21] :
( ~ para(E,F,I,J)
& circle(C,B,J,NWPNT21)
& coll(B,G,J)
& circle(C,D,I,NWPNT11)
& coll(D,H,I)
& circle(A,B,H,NWPNT01)
& coll(B,F,H)
& circle(A,D,G,NWPNT9)
& coll(D,E,G)
& circle(C,B,F,NWPNT8)
& circle(C,B,E,NWPNT7)
& circle(C,B,D,NWPNT6)
& circle(A,B,D,NWPNT5)
& circle(C,B,NWPNT3,NWPNT4)
& circle(A,B,NWPNT1,NWPNT2) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULLmoreE02213_neg]) ).
fof(sk_exemplo6GDDFULLmoreE02213_neg,plain,
( ~ para(sK11,sK12,sK9,sK13)
& circle(sK5,sK2,sK13,sK22)
& coll(sK2,sK18,sK13)
& circle(sK5,sK8,sK9,sK10)
& coll(sK8,sK20,sK9)
& circle(sK1,sK2,sK20,sK21)
& coll(sK2,sK12,sK20)
& circle(sK1,sK8,sK18,sK19)
& coll(sK8,sK11,sK18)
& circle(sK5,sK2,sK12,sK17)
& circle(sK5,sK2,sK11,sK16)
& circle(sK5,sK2,sK8,sK15)
& circle(sK1,sK2,sK8,sK14)
& circle(sK5,sK2,sK6,sK7)
& circle(sK1,sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK14,sK15,sK11,sK16,sK12,sK17,sK18,sK19,sK20,sK21,sK9,sK10,sK13,sK22]),skolemize(A,sK1),skolemize(B,sK2),skolemize(C,sK5),skolemize(D,sK8),skolemize(E,sK11),skolemize(F,sK12),skolemize(G,sK18),skolemize(H,sK20),skolemize(I,sK9),skolemize(J,sK13),skolemize(NWPNT1,sK3),skolemize(NWPNT2,sK4),skolemize(NWPNT3,sK6),skolemize(NWPNT4,sK7),skolemize(NWPNT5,sK14),skolemize(NWPNT6,sK15),skolemize(NWPNT7,sK16),skolemize(NWPNT8,sK17),skolemize(NWPNT9,sK19),skolemize(NWPNT01,sK21),skolemize(NWPNT11,sK10),skolemize(NWPNT21,sK22)],[nnf_95]) ).
cnf(c_109,negated_conjecture,
circle(sK1,sK2,sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULLmoreE02213_neg]) ).
cnf(c_110,negated_conjecture,
circle(sK5,sK2,sK6,sK7),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULLmoreE02213_neg]) ).
cnf(c_117,negated_conjecture,
circle(sK5,sK8,sK9,sK10),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULLmoreE02213_neg]) ).
cnf(c_138,negated_conjecture,
perp(sK0(sK8,sK9,sK10,sK5),sK8,sK8,sK5),
inference(resolve,[status(thm)],[c_117,c_102]) ).
cnf(c_236,negated_conjecture,
perp(sK0(sK2,sK6,sK7,sK5),sK2,sK2,sK5),
inference(resolve,[status(thm)],[c_110,c_102]) ).
cnf(c_250,negated_conjecture,
perp(sK0(sK2,sK3,sK4,sK1),sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_109,c_102]) ).
cnf(c_297,negated_conjecture,
~ para(sK11,sK12,sK9,sK13),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULLmoreE02213_neg]) ).
cnf(c_340,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_350,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_358,plain,
( cong(A,B,D,E)
| ~ eqangle(C,A,C,B,F,D,F,E)
| ~ cyclic(A,B,C,F)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD43]) ).
cnf(c_359,plain,
( cyclic(B,C,A,D)
| ~ coll(A,D,C)
| ~ eqangle(A,B,A,C,D,B,D,C) ),
inference(clausify,[status(thm)],[ruleD42b]) ).
cnf(c_362,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_363,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_383,plain,
( eqangle(C,D,A,B,V6,V7,E,F)
| ~ eqangle(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD19]) ).
cnf(c_385,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_386,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_387,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_388,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_392,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_393,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_396,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_397,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_398,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_449,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_385]) ).
cnf(c_454,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_398]) ).
cnf(c_684,plain,
( para(A,B,sK2,sK1)
| ~ perp(A,B,sK0(sK2,sK3,sK4,sK1),sK2) ),
inference(resolve,[status(thm)],[c_392,c_250]) ).
cnf(c_685,plain,
( para(A,B,sK2,sK5)
| ~ perp(A,B,sK0(sK2,sK6,sK7,sK5),sK2) ),
inference(resolve,[status(thm)],[c_392,c_236]) ).
cnf(c_692,plain,
( para(A,B,sK8,sK5)
| ~ perp(A,B,sK0(sK8,sK9,sK10,sK5),sK8) ),
inference(resolve,[status(thm)],[c_392,c_138]) ).
cnf(c_694,plain,
perp(sK2,sK1,sK0(sK2,sK3,sK4,sK1),sK2),
inference(resolve,[status(thm)],[c_393,c_250]) ).
cnf(c_695,plain,
perp(sK2,sK5,sK0(sK2,sK6,sK7,sK5),sK2),
inference(resolve,[status(thm)],[c_393,c_236]) ).
cnf(c_702,plain,
perp(sK8,sK5,sK0(sK8,sK9,sK10,sK5),sK8),
inference(resolve,[status(thm)],[c_393,c_138]) ).
cnf(c_1920,plain,
para(sK2,sK1,sK2,sK1),
inference(resolve,[status(thm)],[c_694,c_684]) ).
cnf(c_1954,plain,
para(sK2,sK5,sK2,sK5),
inference(resolve,[status(thm)],[c_695,c_685]) ).
cnf(c_2112,plain,
para(sK8,sK5,sK8,sK5),
inference(resolve,[status(thm)],[c_702,c_692]) ).
cnf(c_2418,plain,
eqangle(sK2,sK1,A,B,sK2,sK1,A,B),
inference(resolve,[status(thm)],[c_1920,c_362]) ).
cnf(c_3186,plain,
para(sK2,sK5,sK5,sK2),
inference(resolve,[status(thm)],[c_1954,c_397]) ).
cnf(c_3187,plain,
eqangle(sK2,sK5,A,B,sK2,sK5,A,B),
inference(resolve,[status(thm)],[c_1954,c_362]) ).
cnf(c_4164,plain,
para(sK8,sK5,sK5,sK8),
inference(resolve,[status(thm)],[c_2112,c_397]) ).
cnf(c_4194,plain,
para(sK5,sK2,sK2,sK5),
inference(resolve,[status(thm)],[c_3186,c_396]) ).
cnf(c_4396,plain,
para(sK5,sK8,sK8,sK5),
inference(resolve,[status(thm)],[c_4164,c_396]) ).
cnf(c_4428,plain,
para(sK5,sK2,sK5,sK2),
inference(resolve,[status(thm)],[c_4194,c_397]) ).
cnf(c_4460,plain,
para(sK5,sK8,sK5,sK8),
inference(resolve,[status(thm)],[c_4396,c_397]) ).
cnf(c_4487,plain,
eqangle(sK5,sK2,A,B,sK5,sK2,A,B),
inference(resolve,[status(thm)],[c_4428,c_362]) ).
cnf(c_4511,plain,
eqangle(sK5,sK8,A,B,sK5,sK8,A,B),
inference(resolve,[status(thm)],[c_4460,c_362]) ).
cnf(c_7863,plain,
eqangle(A,B,sK2,sK1,A,B,sK2,sK1),
inference(resolve,[status(thm)],[c_2418,c_383]) ).
cnf(c_10988,plain,
( cyclic(sK5,A,sK2,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_3187,c_359]) ).
cnf(c_10989,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK2,sK2)
| ~ cyclic(sK5,A,sK2,A)
| ~ cyclic(sK5,A,sK2,sK5) ),
inference(resolve,[status(thm)],[c_3187,c_358]) ).
cnf(c_11168,plain,
( cyclic(sK2,A,sK5,sK5)
| ~ coll(sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_4487,c_359]) ).
cnf(c_11218,plain,
( cyclic(sK8,A,sK5,sK5)
| ~ coll(sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_4511,c_359]) ).
cnf(c_11230,plain,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_7863,c_363]) ).
cnf(c_11255,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_11230,c_340]) ).
cnf(c_11415,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_11255,c_454]) ).
cnf(c_11423,plain,
cyclic(sK8,A,sK5,sK5),
inference(resolve,[status(thm)],[c_11415,c_11218]) ).
cnf(c_11425,plain,
cyclic(sK2,A,sK5,sK5),
inference(resolve,[status(thm)],[c_11415,c_11168]) ).
cnf(c_11429,plain,
cyclic(sK5,A,sK2,sK2),
inference(resolve,[status(thm)],[c_11415,c_10988]) ).
cnf(c_11778,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK2,A)
| ~ cyclic(sK5,A,sK2,sK5) ),
inference(resolve,[status(thm)],[c_11429,c_10989]) ).
cnf(c_12336,plain,
cyclic(sK8,sK5,A,sK5),
inference(resolve,[status(thm)],[c_11423,c_387]) ).
cnf(c_12383,plain,
cyclic(sK2,sK5,A,sK5),
inference(resolve,[status(thm)],[c_11425,c_387]) ).
cnf(c_12791,plain,
cyclic(sK8,sK5,sK5,A),
inference(resolve,[status(thm)],[c_12336,c_388]) ).
cnf(c_12879,plain,
cyclic(sK5,sK2,A,sK5),
inference(resolve,[status(thm)],[c_12383,c_386]) ).
cnf(c_13502,plain,
cyclic(sK5,sK5,A,A),
inference(resolve,[status(thm)],[c_12791,c_449]) ).
cnf(c_17430,plain,
( cyclic(sK5,sK5,A,B)
| ~ cyclic(sK8,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_12791,c_385]) ).
cnf(c_13504,plain,
cyclic(sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_12791,c_17430]) ).
cnf(c_13969,plain,
cyclic(sK5,A,sK2,sK5),
inference(resolve,[status(thm)],[c_12879,c_387]) ).
cnf(c_13985,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK2,A) ),
inference(resolve,[status(thm)],[c_13969,c_11778]) ).
cnf(c_17431,plain,
( cyclic(sK5,A,B,A)
| ~ cyclic(sK5,sK5,A,B) ),
inference(resolve,[status(thm)],[c_13502,c_385]) ).
cnf(c_14676,plain,
cyclic(sK5,A,B,A),
inference(resolve,[status(thm)],[c_13504,c_17431]) ).
cnf(c_14689,plain,
cong(sK5,A,sK5,A),
inference(resolve,[status(thm)],[c_14676,c_13985]) ).
cnf(c_17432,plain,
( perp(sK5,sK5,A,B)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_14689,c_350]) ).
cnf(c_16110,plain,
perp(sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_14689,c_17432]) ).
cnf(c_17427,plain,
perp(A,B,sK5,sK5),
inference(resolve,[status(thm)],[c_16110,c_393]) ).
cnf(c_17433,plain,
( para(A,B,C,D)
| ~ perp(A,B,sK5,sK5) ),
inference(resolve,[status(thm)],[c_16110,c_392]) ).
cnf(c_17428,plain,
para(A,B,C,D),
inference(resolve,[status(thm)],[c_17427,c_17433]) ).
cnf(c_17429,plain,
$false,
inference(resolve,[status(thm)],[c_17428,c_297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO652+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n003.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Fri Sep 25 13:48:38 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.45 % Process 305052 was started by sandbox2 on n003,
% 0.17/0.45 % Fri Sep 25 13:48:38 2026
% 0.17/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.47
% 0.17/0.47 % From the command line: assign(max_seconds, 300).
% 33.59/5.33
% 33.59/5.33 % given #500 (T,wt=9): 1028 coll(c4,c7,c10). [resolve(1017,a,400,a)].
% 33.59/5.33
% 33.59/5.33 % given #1000 (A,wt=19): 698 perp(c2,c3,f12(c2,c5,c17,c3),c2). [resolve(393,a,194,a)].
% 33.59/5.33
% 33.59/5.33 % given #1500 (T,wt=9): 4364 coll(c2,c3,c4). [resolve(4330,a,399,a)].
% 33.59/5.33
% 33.59/5.33 % given #2000 (A,wt=13): 1595 -coll(c7,c8,A) | coll(A,c2,c7). [resolve(1517,a,398,b)].
% 33.59/5.33
% 33.59/5.33 % given #2500 (T,wt=13): 2443 -coll(c1,c1,A) | coll(A,c2,c1). [resolve(2428,a,398,b)].
% 33.59/5.33
% 33.59/5.33 % given #3000 (A,wt=31): 2240 coll(f10(c3,f12(c2,c5,c17,c3),c2,c2),c2,f12(c2,c5,c17,c3)). [resolve(708,a,312,b),unit_del(a,2234)].
% 33.59/5.33
% 33.59/5.33 % given #3500 (W,wt=13): 4689 -coll(c2,c3,A) | coll(A,c5,c2). [resolve(4651,a,398,b)].
% 33.59/5.33
% 33.59/5.33 % given #4000 (T,wt=13): 5662 -coll(c3,c10,A) | coll(A,c9,c3). [resolve(5635,a,398,b)].
% 33.59/5.33
% 33.59/5.33 % given #4500 (W,wt=10): 11424 cyclic(c4,A,c1,c1). [back_unit_del(11182),unit_del(a,11415)].
% 33.59/5.33
% 33.59/5.33 % SZS status Theorem for theBenchmark
% 33.59/5.33
% 33.59/5.33 % Proof 1 at 3.63 (+ 1.17) seconds.
% 33.59/5.33 % Length of proof is 89.
% 33.59/5.33 % Level of proof is 19.
% 33.59/5.33 % Maximum clause weight is 34.000.
% 33.59/5.33 % Given clauses 4999.
% 33.59/5.33
% 33.59/5.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------