%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO561+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 : n007.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 07:18:06 AM UTC 2026
% Result : Theorem 44.81s 6.86s
% Output : CNFRefutation 44.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 101 ( 42 unt; 0 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 180 ( 52 ~; 48 |; 59 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 351 ( 55 sgn 132 !; 14 ?)
% 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(ruleD21,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ),
file('theBenchmark.p',ruleD21) ).
fof(ruleD22,axiom,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ( eqangle(P,Q,U,V,E,F,G,H)
& eqangle(A,B,C,D,P,Q,U,V) )
=> eqangle(A,B,C,D,E,F,G,H) ),
file('theBenchmark.p',ruleD22) ).
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(exemplo6GDDFULL214022,conjecture,
! [A,B,C,O,P,Q,N,M,E,D,NWPNT1,NWPNT2] :
( ( coll(D,N,M)
& coll(D,A,B)
& coll(E,N,M)
& coll(E,A,C)
& circle(O,A,M,NWPNT2)
& coll(M,O,Q)
& circle(O,A,N,NWPNT1)
& coll(N,O,P)
& coll(Q,A,B)
& perp(Q,O,A,B)
& coll(P,A,C)
& perp(P,O,A,C)
& circle(O,A,B,C) )
=> eqangle(A,D,D,E,D,E,E,A) ),
file('theBenchmark.p',exemplo6GDDFULL214022) ).
fof(exemplo6GDDFULL214022_neg,negated_conjecture,
~ ! [A,B,C,O,P,Q,N,M,E,D,NWPNT1,NWPNT2] :
( ( coll(D,N,M)
& coll(D,A,B)
& coll(E,N,M)
& coll(E,A,C)
& circle(O,A,M,NWPNT2)
& coll(M,O,Q)
& circle(O,A,N,NWPNT1)
& coll(N,O,P)
& coll(Q,A,B)
& perp(Q,O,A,B)
& coll(P,A,C)
& perp(P,O,A,C)
& circle(O,A,B,C) )
=> eqangle(A,D,D,E,D,E,E,A) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214022]) ).
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,P,Q,N,M,E,D,NWPNT1,NWPNT2] :
( ~ eqangle(A,D,D,E,D,E,E,A)
& coll(D,N,M)
& coll(D,A,B)
& coll(E,N,M)
& coll(E,A,C)
& circle(O,A,M,NWPNT2)
& coll(M,O,Q)
& circle(O,A,N,NWPNT1)
& coll(N,O,P)
& coll(Q,A,B)
& perp(Q,O,A,B)
& coll(P,A,C)
& perp(P,O,A,C)
& circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL214022_neg]) ).
fof(sk_exemplo6GDDFULL214022_neg,plain,
( ~ eqangle(sK2,sK5,sK5,sK6,sK5,sK6,sK6,sK2)
& coll(sK5,sK9,sK11)
& coll(sK5,sK2,sK3)
& coll(sK6,sK9,sK11)
& coll(sK6,sK2,sK4)
& circle(sK1,sK2,sK11,sK12)
& coll(sK11,sK1,sK8)
& circle(sK1,sK2,sK9,sK10)
& coll(sK9,sK1,sK7)
& coll(sK8,sK2,sK3)
& perp(sK8,sK1,sK2,sK3)
& coll(sK7,sK2,sK4)
& perp(sK7,sK1,sK2,sK4)
& circle(sK1,sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK7,sK8,sK9,sK10,sK11,sK12,sK6,sK5]),skolemize(A,sK2),skolemize(B,sK3),skolemize(C,sK4),skolemize(O,sK1),skolemize(P,sK7),skolemize(Q,sK8),skolemize(N,sK9),skolemize(M,sK11),skolemize(E,sK6),skolemize(D,sK5),skolemize(NWPNT1,sK10),skolemize(NWPNT2,sK12)],[nnf_95]) ).
cnf(c_109,negated_conjecture,
circle(sK1,sK2,sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214022_neg]) ).
cnf(c_145,negated_conjecture,
perp(sK0(sK2,sK3,sK4,sK1),sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_109,c_102]) ).
cnf(c_192,negated_conjecture,
~ eqangle(sK2,sK5,sK5,sK6,sK5,sK6,sK6,sK2),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214022_neg]) ).
cnf(c_202,negated_conjecture,
perp(sK7,sK1,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214022_neg]) ).
cnf(c_241,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_251,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_259,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_260,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_263,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_264,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_281,plain,
( eqangle(A,B,C,D,V8,V9,V10,V11)
| ~ eqangle(E,F,V6,V7,V8,V9,V10,V11)
| ~ eqangle(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD22]) ).
cnf(c_282,plain,
( eqangle(A,B,E,F,C,D,V6,V7)
| ~ eqangle(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD21]) ).
cnf(c_284,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_286,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_287,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_288,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_289,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_293,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_294,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_297,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_298,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_299,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_350,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_286]) ).
cnf(c_355,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_299]) ).
cnf(c_450,plain,
( para(sK7,sK1,A,B)
| ~ perp(sK2,sK4,A,B) ),
inference(resolve,[status(thm)],[c_293,c_202]) ).
cnf(c_457,plain,
( para(A,B,sK2,sK1)
| ~ perp(A,B,sK0(sK2,sK3,sK4,sK1),sK2) ),
inference(resolve,[status(thm)],[c_293,c_145]) ).
cnf(c_460,plain,
perp(sK2,sK4,sK7,sK1),
inference(resolve,[status(thm)],[c_294,c_202]) ).
cnf(c_462,plain,
perp(sK2,sK1,sK0(sK2,sK3,sK4,sK1),sK2),
inference(resolve,[status(thm)],[c_294,c_145]) ).
cnf(c_1106,plain,
para(sK7,sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_460,c_450]) ).
cnf(c_1169,plain,
para(sK7,sK1,sK1,sK7),
inference(resolve,[status(thm)],[c_1106,c_298]) ).
cnf(c_1170,plain,
eqangle(sK7,sK1,A,B,sK7,sK1,A,B),
inference(resolve,[status(thm)],[c_1106,c_263]) ).
cnf(c_1250,plain,
para(sK2,sK1,sK2,sK1),
inference(resolve,[status(thm)],[c_462,c_457]) ).
cnf(c_1298,plain,
para(sK1,sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_1169,c_297]) ).
cnf(c_1463,plain,
para(sK2,sK1,sK1,sK2),
inference(resolve,[status(thm)],[c_1250,c_298]) ).
cnf(c_1573,plain,
para(sK1,sK7,sK1,sK7),
inference(resolve,[status(thm)],[c_1298,c_298]) ).
cnf(c_1655,plain,
para(sK1,sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_1463,c_297]) ).
cnf(c_1670,plain,
eqangle(sK1,sK7,A,B,sK1,sK7,A,B),
inference(resolve,[status(thm)],[c_1573,c_263]) ).
cnf(c_1695,plain,
para(sK1,sK2,sK1,sK2),
inference(resolve,[status(thm)],[c_1655,c_298]) ).
cnf(c_1710,plain,
eqangle(sK1,sK2,A,B,sK1,sK2,A,B),
inference(resolve,[status(thm)],[c_1695,c_263]) ).
cnf(c_5698,plain,
eqangle(A,B,sK7,sK1,A,B,sK7,sK1),
inference(resolve,[status(thm)],[c_1170,c_284]) ).
cnf(c_5700,plain,
( cyclic(sK1,A,sK7,sK7)
| ~ coll(sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_1170,c_260]) ).
cnf(c_5701,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK7,sK7)
| ~ cyclic(sK1,A,sK7,A)
| ~ cyclic(sK1,A,sK7,sK1) ),
inference(resolve,[status(thm)],[c_1170,c_259]) ).
cnf(c_7907,plain,
( cyclic(sK7,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_1670,c_260]) ).
cnf(c_8174,plain,
( cyclic(sK2,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_1710,c_260]) ).
cnf(c_9921,plain,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_5698,c_264]) ).
cnf(c_9946,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_9921,c_241]) ).
cnf(c_10264,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_9946,c_355]) ).
cnf(c_10298,plain,
cyclic(sK2,A,sK1,sK1),
inference(resolve,[status(thm)],[c_10264,c_8174]) ).
cnf(c_10300,plain,
cyclic(sK7,A,sK1,sK1),
inference(resolve,[status(thm)],[c_10264,c_7907]) ).
cnf(c_10331,plain,
cyclic(sK1,A,sK7,sK7),
inference(resolve,[status(thm)],[c_10264,c_5700]) ).
cnf(c_10572,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK7,A)
| ~ cyclic(sK1,A,sK7,sK1) ),
inference(resolve,[status(thm)],[c_10331,c_5701]) ).
cnf(c_11220,plain,
cyclic(sK2,sK1,A,sK1),
inference(resolve,[status(thm)],[c_10298,c_288]) ).
cnf(c_11252,plain,
cyclic(sK7,sK1,A,sK1),
inference(resolve,[status(thm)],[c_10300,c_288]) ).
cnf(c_11513,plain,
cyclic(sK2,sK1,sK1,A),
inference(resolve,[status(thm)],[c_11220,c_289]) ).
cnf(c_11577,plain,
cyclic(sK1,sK7,A,sK1),
inference(resolve,[status(thm)],[c_11252,c_287]) ).
cnf(c_12095,plain,
cyclic(sK1,sK1,A,A),
inference(resolve,[status(thm)],[c_11513,c_350]) ).
cnf(c_24305,plain,
( cyclic(sK1,sK1,A,B)
| ~ cyclic(sK2,sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_11513,c_286]) ).
cnf(c_12097,plain,
cyclic(sK1,sK1,A,B),
inference(resolve,[status(thm)],[c_11513,c_24305]) ).
cnf(c_12463,plain,
cyclic(sK1,A,sK7,sK1),
inference(resolve,[status(thm)],[c_11577,c_288]) ).
cnf(c_12479,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK7,A) ),
inference(resolve,[status(thm)],[c_12463,c_10572]) ).
cnf(c_24306,plain,
( cyclic(sK1,A,B,A)
| ~ cyclic(sK1,sK1,A,B) ),
inference(resolve,[status(thm)],[c_12095,c_286]) ).
cnf(c_13344,plain,
cyclic(sK1,A,B,A),
inference(resolve,[status(thm)],[c_12097,c_24306]) ).
cnf(c_13357,plain,
cong(sK1,A,sK1,A),
inference(resolve,[status(thm)],[c_13344,c_12479]) ).
cnf(c_24307,plain,
( perp(sK1,sK1,A,B)
| ~ cong(sK1,A,sK1,A) ),
inference(resolve,[status(thm)],[c_13357,c_251]) ).
cnf(c_14891,plain,
perp(sK1,sK1,A,B),
inference(resolve,[status(thm)],[c_13357,c_24307]) ).
cnf(c_16622,plain,
perp(A,B,sK1,sK1),
inference(resolve,[status(thm)],[c_14891,c_294]) ).
cnf(c_24308,plain,
( para(A,B,C,D)
| ~ perp(A,B,sK1,sK1) ),
inference(resolve,[status(thm)],[c_14891,c_293]) ).
cnf(c_16623,plain,
para(A,B,C,D),
inference(resolve,[status(thm)],[c_16622,c_24308]) ).
cnf(c_16639,plain,
eqangle(A,B,C,D,E,F,C,D),
inference(resolve,[status(thm)],[c_16623,c_263]) ).
cnf(c_20885,plain,
eqangle(A,B,C,D,A,B,E,F),
inference(resolve,[status(thm)],[c_16639,c_284]) ).
cnf(c_20886,plain,
eqangle(A,B,C,D,E,F,E,F),
inference(resolve,[status(thm)],[c_16639,c_282]) ).
cnf(c_24169,plain,
eqangle(A,B,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_20885,c_282]) ).
cnf(c_24309,plain,
( eqangle(V6,V7,V8,V9,C,D,E,F)
| ~ eqangle(A,B,A,B,C,D,E,F) ),
inference(resolve,[status(thm)],[c_20886,c_281]) ).
cnf(c_24303,plain,
eqangle(A,B,C,D,E,F,V6,V7),
inference(resolve,[status(thm)],[c_24169,c_24309]) ).
cnf(c_24304,plain,
$false,
inference(resolve,[status(thm)],[c_24303,c_192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO561+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 13:39:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 1128001 was started by sandbox2 on n007,
% 0.10/0.36 % Fri Sep 25 13:39:56 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.39
% 0.10/0.39 % From the command line: assign(max_seconds, 300).
% 44.81/6.86
% 44.81/6.86 % given #500 (T,wt=10): 460 perp(c1,c3,c5,c4). [resolve(294,a,202,a)].
% 44.81/6.86
% 44.81/6.86 % given #1000 (A,wt=13): 773 -coll(c10,c10,A) | coll(A,c2,c10). [resolve(595,a,299,b)].
% 44.81/6.86
% 44.81/6.86 % given #1500 (T,wt=9): 4134 coll(c6,c9,c2). [resolve(3338,a,578,a)].
% 44.81/6.86
% 44.81/6.86 % given #2000 (A,wt=22): 1199 -coll(A,c6,c6) | -coll(A,c4,c4) | eqratio(A,c6,c6,c6,A,c4,c4,c4). [resolve(1121,a,242,a)].
% 44.81/6.86
% 44.81/6.86 % given #2500 (W,wt=13): 2938 -coll(c4,c8,A) | coll(c1,A,c4). [resolve(2424,a,299,a)].
% 44.81/6.86
% 44.81/6.86 % given #3000 (T,wt=13): 3679 -coll(c8,c3,A) | coll(c5,A,c8). [resolve(3043,a,299,a)].
% 44.81/6.86
% 44.81/6.86 % given #3500 (W,wt=13): 4402 -coll(c5,c2,A) | coll(A,c6,c5). [resolve(3755,a,299,b)].
% 44.81/6.86
% 44.81/6.86 % given #4000 (T,wt=13): 5133 -coll(c3,c10,A) | coll(A,c2,c3). [resolve(4678,a,299,b)].
% 44.81/6.86
% 44.81/6.86 % given #4500 (A,wt=69): 2651 -perp(c4,f12(c1,c7,c11,c4),f17(f12(c1,c7,c11,c4),c4,c1,c4,c7),c7) | perp(c4,f10(c4,f17(f12(c1,c7,c11,c4),c4,c1,c4,c7),c7,f12(c1,c7,c11,c4)),c7,f17(f12(c1,c7,c11,c4),c4,c1,c4,c7)). [resolve(693,a,212,b)].
% 44.81/6.86
% 44.81/6.86 % given #5000 (T,wt=10): 13522 cong(c6,A,c6,A). [back_unit_del(13151),unit_del(a,13431)].
% 44.81/6.86
% 44.81/6.86 % given #5500 (A,wt=46): 3624 -midp(f12(c1,c2,c3,c4),c4,c6) | cong(f17(f12(c1,c2,c3,c4),c4,c1,c4,c6),c4,f17(f12(c1,c2,c3,c4),c4,c1,c4,c6),c6). [resolve(828,a,252,b)].
% 44.81/6.86
% 44.81/6.86 % given #6000 (T,wt=14): 7745 eqratio(c5,c2,c2,c2,c5,c1,c1,c1). [resolve(1644,a,3745,a),unit_del(a,867)].
% 44.81/6.86
% 44.81/6.86 % given #6500 (A,wt=28): 5961 coll(f17(f12(c1,c8,c12,c4),c4,c1,c2,c9),c2,c9). [resolve(5949,a,382,a)].
% 44.81/6.86
% 44.81/6.86 % given #7000 (W,wt=14): 19321 eqratio(c4,c1,c4,c3,c1,c3,c3,c1). [resolve(7323,a,274,a)].
% 44.81/6.86
% 44.81/6.86 % given #7500 (T,wt=14): 19923 eqangle(A,B,c3,c2,B,A,c4,c6). [resolve(9897,a,285,a)].
% 44.81/6.86
% 44.81/6.86 % given #8000 (W,wt=14): 20598 eqangle(A,c5,A,c4,c5,c5,A,c5). [resolve(15030,a,283,a)].
% 44.81/6.86
% 44.81/6.86 % SZS status Theorem for theBenchmark
% 44.81/6.86
% 44.81/6.86 % Proof 1 at 5.18 (+ 1.20) seconds.
% 44.81/6.86 % Length of proof is 91.
% 44.81/6.86 % Level of proof is 23.
% 44.81/6.86 % Maximum clause weight is 34.000.
% 44.81/6.86 % Given clauses 8234.
% 44.81/6.86
% 44.81/6.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------