%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO544+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 : n001.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 07:18:04 AM UTC 2026
% Result : Theorem 174.41s 23.65s
% Output : CNFRefutation 174.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 110 ( 46 unt; 0 def)
% Number of atoms : 232 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 182 ( 60 ~; 56 |; 45 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 240 ( 2 sgn 110 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('theBenchmark.p',ruleD1) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('theBenchmark.p',ruleD2) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,D)
& coll(A,B,C) )
=> coll(C,D,A) ),
file('theBenchmark.p',ruleD3) ).
fof(ruleD6,axiom,
! [A,B,C,D,E,F] :
( ( para(C,D,E,F)
& para(A,B,C,D) )
=> para(A,B,E,F) ),
file('theBenchmark.p',ruleD6) ).
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(ruleD10,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& para(A,B,C,D) )
=> perp(A,B,E,F) ),
file('theBenchmark.p',ruleD10) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('theBenchmark.p',ruleD11) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,C)
& cong(O,A,O,B) )
=> circle(O,A,B,C) ),
file('theBenchmark.p',ruleD12) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('theBenchmark.p',ruleD23) ).
fof(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
file('theBenchmark.p',ruleD24) ).
fof(ruleD25,axiom,
! [A,B,C,D,E,F] :
( ( cong(C,D,E,F)
& cong(A,B,C,D) )
=> cong(A,B,E,F) ),
file('theBenchmark.p',ruleD25) ).
fof(ruleD44,axiom,
! [A,B,C,E,F] :
( ( midp(F,A,C)
& midp(E,A,B) )
=> para(E,F,B,C) ),
file('theBenchmark.p',ruleD44) ).
fof(ruleD53,axiom,
! [A,B,C,O] :
( ( coll(O,A,C)
& circle(O,A,B,C) )
=> perp(A,B,B,C) ),
file('theBenchmark.p',ruleD53) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( para(A,D,B,C)
& para(A,C,B,D)
& midp(M,A,B) )
=> midp(M,C,D) ),
file('theBenchmark.p',ruleD64) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( coll(A,B,C)
& cong(A,B,A,C) )
=> midp(A,B,C) ),
file('theBenchmark.p',ruleD67) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('theBenchmark.p',ruleD68) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('theBenchmark.p',ruleD69) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ),
file('theBenchmark.p',ruleX11) ).
fof(exemplo6GDDFULL012004,conjecture,
! [A,B,C,O,D,Q,S,J,M,I,NWPNT1] :
( ( coll(I,B,C)
& coll(I,A,D)
& cong(O,J,O,M)
& coll(O,J,M)
& midp(J,S,Q)
& midp(S,A,D)
& midp(Q,C,B)
& circle(O,A,D,NWPNT1)
& circle(O,A,B,C) )
=> perp(S,M,B,C) ),
file('theBenchmark.p',exemplo6GDDFULL012004) ).
fof(exemplo6GDDFULL012004_neg,negated_conjecture,
~ ! [A,B,C,O,D,Q,S,J,M,I,NWPNT1] :
( ( coll(I,B,C)
& coll(I,A,D)
& cong(O,J,O,M)
& coll(O,J,M)
& midp(J,S,Q)
& midp(S,A,D)
& midp(Q,C,B)
& circle(O,A,D,NWPNT1)
& circle(O,A,B,C) )
=> perp(S,M,B,C) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012004]) ).
cnf(c_97,plain,
( circle(A,B,C,D)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD12]) ).
cnf(c_101,plain,
( perp(B,C,C,D)
| ~ coll(A,B,D)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD53]) ).
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,O,D,Q,S,J,M,I,NWPNT1] :
( ~ perp(S,M,B,C)
& coll(I,B,C)
& coll(I,A,D)
& cong(O,J,O,M)
& coll(O,J,M)
& midp(J,S,Q)
& midp(S,A,D)
& midp(Q,C,B)
& circle(O,A,D,NWPNT1)
& circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL012004_neg]) ).
fof(sk_exemplo6GDDFULL012004_neg,plain,
( ~ perp(sK5,sK6,sK3,sK4)
& coll(sK11,sK3,sK4)
& coll(sK11,sK2,sK9)
& cong(sK1,sK7,sK1,sK6)
& coll(sK1,sK7,sK6)
& midp(sK7,sK5,sK8)
& midp(sK5,sK2,sK9)
& midp(sK8,sK4,sK3)
& circle(sK1,sK2,sK9,sK10)
& circle(sK1,sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK9,sK10,sK8,sK5,sK7,sK6,sK11]),skolemize(A,sK2),skolemize(B,sK3),skolemize(C,sK4),skolemize(O,sK1),skolemize(D,sK9),skolemize(Q,sK8),skolemize(S,sK5),skolemize(J,sK7),skolemize(M,sK6),skolemize(I,sK11),skolemize(NWPNT1,sK10)],[nnf_95]) ).
cnf(c_109,negated_conjecture,
circle(sK1,sK2,sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012004_neg]) ).
cnf(c_130,negated_conjecture,
perp(sK0(sK2,sK3,sK4,sK1),sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_109,c_102]) ).
cnf(c_172,plain,
( ~ cong(A,B,A,C)
| ~ cong(A,B,A,D)
| perp(B,D,D,C)
| ~ coll(A,B,C) ),
inference(resolve,[status(thm)],[c_101,c_97]) ).
cnf(c_177,negated_conjecture,
~ perp(sK5,sK6,sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012004_neg]) ).
cnf(c_180,negated_conjecture,
cong(sK1,sK7,sK1,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012004_neg]) ).
cnf(c_181,negated_conjecture,
coll(sK1,sK7,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012004_neg]) ).
cnf(c_182,negated_conjecture,
midp(sK7,sK5,sK8),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012004_neg]) ).
cnf(c_183,negated_conjecture,
midp(sK5,sK2,sK9),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012004_neg]) ).
cnf(c_184,negated_conjecture,
midp(sK8,sK4,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012004_neg]) ).
cnf(c_220,plain,
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD69]) ).
cnf(c_221,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_222,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_225,plain,
( midp(A,D,E)
| ~ para(B,E,C,D)
| ~ para(B,D,C,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD64]) ).
cnf(c_240,plain,
( para(A,D,C,E)
| ~ midp(D,B,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD44]) ).
cnf(c_260,plain,
( cong(A,B,E,F)
| ~ cong(C,D,E,F)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD25]) ).
cnf(c_261,plain,
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD24]) ).
cnf(c_262,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_273,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_274,plain,
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD10]) ).
cnf(c_275,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_276,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_278,plain,
( para(A,B,E,F)
| ~ para(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD6]) ).
cnf(c_281,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_282,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_283,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_298,plain,
( ~ cong(A,B,A,C)
| perp(B,C,C,C)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_172]) ).
cnf(c_323,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_225]) ).
cnf(c_328,plain,
( para(A,A,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_240]) ).
cnf(c_337,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_281]) ).
cnf(c_516,plain,
coll(sK8,sK4,sK3),
inference(resolve,[status(thm)],[c_220,c_184]) ).
cnf(c_517,plain,
coll(sK5,sK2,sK9),
inference(resolve,[status(thm)],[c_220,c_183]) ).
cnf(c_520,plain,
cong(sK5,sK2,sK5,sK9),
inference(resolve,[status(thm)],[c_221,c_183]) ).
cnf(c_28656,negated_conjecture,
( midp(sK1,sK7,sK6)
| ~ coll(sK1,sK7,sK6) ),
inference(resolve,[status(thm)],[c_222,c_180]) ).
cnf(c_522,negated_conjecture,
midp(sK1,sK7,sK6),
inference(resolve,[status(thm)],[c_181,c_28656]) ).
cnf(c_28657,negated_conjecture,
( para(sK7,A,sK8,B)
| ~ midp(A,sK5,B) ),
inference(resolve,[status(thm)],[c_240,c_182]) ).
cnf(c_545,negated_conjecture,
para(sK7,sK7,sK8,sK8),
inference(resolve,[status(thm)],[c_28657,c_182]) ).
cnf(c_549,plain,
cong(sK1,sK7,sK6,sK1),
inference(resolve,[status(thm)],[c_262,c_180]) ).
cnf(c_557,plain,
midp(sK8,sK3,sK4),
inference(resolve,[status(thm)],[c_273,c_184]) ).
cnf(c_558,plain,
midp(sK5,sK9,sK2),
inference(resolve,[status(thm)],[c_273,c_183]) ).
cnf(c_562,plain,
( para(A,B,sK2,sK1)
| ~ perp(A,B,sK0(sK2,sK3,sK4,sK1),sK2) ),
inference(resolve,[status(thm)],[c_275,c_130]) ).
cnf(c_564,plain,
perp(sK2,sK1,sK0(sK2,sK3,sK4,sK1),sK2),
inference(resolve,[status(thm)],[c_276,c_130]) ).
cnf(c_28658,negated_conjecture,
( coll(sK6,A,sK1)
| ~ coll(sK1,sK7,A) ),
inference(resolve,[status(thm)],[c_281,c_181]) ).
cnf(c_574,negated_conjecture,
coll(sK6,sK6,sK1),
inference(resolve,[status(thm)],[c_28658,c_181]) ).
cnf(c_607,plain,
coll(sK8,sK3,sK4),
inference(resolve,[status(thm)],[c_516,c_283]) ).
cnf(c_612,plain,
coll(sK5,sK9,sK2),
inference(resolve,[status(thm)],[c_517,c_283]) ).
cnf(c_629,plain,
midp(sK1,sK6,sK7),
inference(resolve,[status(thm)],[c_522,c_273]) ).
cnf(c_668,plain,
para(sK8,sK8,sK4,sK4),
inference(resolve,[status(thm)],[c_557,c_328]) ).
cnf(c_680,plain,
cong(sK8,sK3,sK8,sK4),
inference(resolve,[status(thm)],[c_557,c_221]) ).
cnf(c_738,plain,
cong(sK5,sK9,sK5,sK2),
inference(resolve,[status(thm)],[c_558,c_221]) ).
cnf(c_864,plain,
coll(sK1,sK1,sK6),
inference(resolve,[status(thm)],[c_574,c_337]) ).
cnf(c_925,plain,
coll(sK2,sK2,sK5),
inference(resolve,[status(thm)],[c_612,c_337]) ).
cnf(c_945,plain,
para(sK1,sK1,sK7,sK7),
inference(resolve,[status(thm)],[c_629,c_328]) ).
cnf(c_1025,plain,
coll(sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_864,c_283]) ).
cnf(c_1136,plain,
coll(sK2,sK5,sK2),
inference(resolve,[status(thm)],[c_925,c_283]) ).
cnf(c_1175,plain,
coll(sK6,sK1,sK1),
inference(resolve,[status(thm)],[c_1025,c_282]) ).
cnf(c_1344,plain,
coll(sK5,sK2,sK2),
inference(resolve,[status(thm)],[c_1136,c_282]) ).
cnf(c_8865,plain,
cong(sK6,sK1,sK1,sK7),
inference(resolve,[status(thm)],[c_549,c_261]) ).
cnf(c_28659,plain,
( para(sK7,sK7,A,B)
| ~ para(sK8,sK8,A,B) ),
inference(resolve,[status(thm)],[c_278,c_545]) ).
cnf(c_9666,plain,
para(sK7,sK7,sK4,sK4),
inference(resolve,[status(thm)],[c_28659,c_668]) ).
cnf(c_28660,plain,
( perp(sK3,sK4,sK4,sK4)
| ~ coll(sK8,sK3,sK4) ),
inference(resolve,[status(thm)],[c_680,c_298]) ).
cnf(c_9909,plain,
perp(sK3,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_607,c_28660]) ).
cnf(c_28661,plain,
( cong(sK5,sK2,A,B)
| ~ cong(sK5,sK9,A,B) ),
inference(resolve,[status(thm)],[c_260,c_520]) ).
cnf(c_10960,plain,
cong(sK5,sK2,sK5,sK2),
inference(resolve,[status(thm)],[c_28661,c_738]) ).
cnf(c_16367,plain,
para(sK2,sK1,sK2,sK1),
inference(resolve,[status(thm)],[c_564,c_562]) ).
cnf(c_28662,plain,
( cong(sK6,sK1,A,B)
| ~ cong(sK1,sK7,A,B) ),
inference(resolve,[status(thm)],[c_260,c_8865]) ).
cnf(c_17161,plain,
cong(sK6,sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_28662,c_549]) ).
cnf(c_28663,plain,
( para(sK1,sK1,A,B)
| ~ para(sK7,sK7,A,B) ),
inference(resolve,[status(thm)],[c_278,c_945]) ).
cnf(c_17627,plain,
para(sK1,sK1,sK4,sK4),
inference(resolve,[status(thm)],[c_28663,c_9666]) ).
cnf(c_18290,plain,
perp(sK4,sK4,sK3,sK4),
inference(resolve,[status(thm)],[c_9909,c_276]) ).
cnf(c_28664,plain,
( midp(sK5,sK2,sK2)
| ~ coll(sK5,sK2,sK2) ),
inference(resolve,[status(thm)],[c_10960,c_222]) ).
cnf(c_20020,plain,
midp(sK5,sK2,sK2),
inference(resolve,[status(thm)],[c_1344,c_28664]) ).
cnf(c_28665,plain,
( midp(sK5,A,A)
| ~ para(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_323,c_20020]) ).
cnf(c_21043,plain,
midp(sK5,sK1,sK1),
inference(resolve,[status(thm)],[c_28665,c_16367]) ).
cnf(c_28666,plain,
( midp(sK6,sK1,sK1)
| ~ coll(sK6,sK1,sK1) ),
inference(resolve,[status(thm)],[c_17161,c_222]) ).
cnf(c_21718,plain,
midp(sK6,sK1,sK1),
inference(resolve,[status(thm)],[c_1175,c_28666]) ).
cnf(c_28667,plain,
( para(sK5,A,sK1,B)
| ~ midp(A,sK1,B) ),
inference(resolve,[status(thm)],[c_240,c_21043]) ).
cnf(c_21732,plain,
para(sK5,sK6,sK1,sK1),
inference(resolve,[status(thm)],[c_28667,c_21718]) ).
cnf(c_28668,plain,
( perp(sK1,sK1,A,B)
| ~ perp(sK4,sK4,A,B) ),
inference(resolve,[status(thm)],[c_274,c_17627]) ).
cnf(c_21807,plain,
perp(sK1,sK1,sK3,sK4),
inference(resolve,[status(thm)],[c_28668,c_18290]) ).
cnf(c_28669,plain,
( perp(sK5,sK6,A,B)
| ~ perp(sK1,sK1,A,B) ),
inference(resolve,[status(thm)],[c_274,c_21732]) ).
cnf(c_28670,plain,
perp(sK5,sK6,sK3,sK4),
inference(resolve,[status(thm)],[c_28669,c_21807]) ).
cnf(c_28655,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_177,c_28670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO544+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Fri Sep 25 13:46:25 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.39 % Process 3419904 was started by sandbox2 on n001,
% 0.13/0.39 % Fri Sep 25 13:46:25 2026
% 0.13/0.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.41
% 0.17/0.41 % From the command line: assign(max_seconds, 300).
% 174.41/23.65
% 174.41/23.65 % given #500 (T,wt=4): 1548 coll(c10,c10,c6). [resolve(1273,a,337,a)].
% 174.41/23.65
% 174.41/23.65 % given #1000 (W,wt=4): 3020 coll(c3,c8,c1). [hyper(281,a,1806,a,b,2004,a)].
% 174.41/23.65
% 174.41/23.65 % given #1500 (T,wt=4): 18531 midp(c6,c3,c3). [resolve(9976,a,222,a),unit_del(a,1212)].
% 174.41/23.65
% 174.41/23.65 % SZS status Theorem for theBenchmark
% 174.41/23.65
% 174.41/23.65 % Proof 1 at 5.05 (+ 1.88) seconds.
% 174.41/23.65 % Length of proof is 90.
% 174.41/23.65 % Level of proof is 10.
% 174.41/23.65 % Maximum clause weight is 19.000.
% 174.41/23.65 % Given clauses 1964.
% 174.41/23.65
% 174.41/23.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------