%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO592+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 07:18:11 AM UTC 2026
% Result : Theorem 245.12s 32.59s
% Output : CNFRefutation 245.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 33
% Syntax : Number of formulae : 248 ( 128 unt; 0 def)
% Number of atoms : 480 ( 0 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 361 ( 129 ~; 125 |; 73 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-7 aty)
% Number of variables : 426 ( 12 sgn 175 !; 14 ?)
% 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(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(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('theBenchmark.p',ruleD7) ).
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(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,D)
& cong(O,A,O,C)
& cong(O,A,O,B) )
=> cyclic(A,B,C,D) ),
file('theBenchmark.p',ruleD13) ).
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(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(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(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(ruleD45,axiom,
! [A,B,C,E,F] :
( ( coll(F,A,C)
& para(E,F,B,C)
& midp(E,A,B) )
=> midp(F,A,C) ),
file('theBenchmark.p',ruleD45) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( midp(M,A,C)
& perp(A,B,B,C) )
=> cong(A,M,B,M) ),
file('theBenchmark.p',ruleD52) ).
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(ruleD55,axiom,
! [A,B,M,O] :
( ( perp(O,M,A,B)
& midp(M,A,B) )
=> cong(O,A,O,B) ),
file('theBenchmark.p',ruleD55) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cyclic(A,B,P,Q)
& cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(P,A,A,Q) ),
file('theBenchmark.p',ruleD57) ).
fof(ruleD63,axiom,
! [A,B,C,D,M] :
( ( midp(M,C,D)
& midp(M,A,B) )
=> para(A,C,B,D) ),
file('theBenchmark.p',ruleD63) ).
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(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('theBenchmark.p',ruleD66) ).
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(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( coll(D,A,B)
& coll(C,A,B)
& midp(N,C,D)
& midp(M,A,B) )
=> midp(P,A,Q) ),
file('theBenchmark.p',ruleX7) ).
fof(exemplo6GDDFULL416054,conjecture,
! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ( coll(E,B,M)
& coll(E,A,D)
& coll(F,B,M)
& coll(F,C,A)
& circle(O,A,G,NWPNT3)
& coll(G,B,M)
& coll(M,A,O)
& perp(M,B,A,O)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,C,B)
& coll(D,B,C)
& perp(D,A,B,C)
& perp(A,B,A,C) )
=> cong(E,A,E,B) ),
file('theBenchmark.p',exemplo6GDDFULL416054) ).
fof(exemplo6GDDFULL416054_neg,negated_conjecture,
~ ! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ( coll(E,B,M)
& coll(E,A,D)
& coll(F,B,M)
& coll(F,C,A)
& circle(O,A,G,NWPNT3)
& coll(G,B,M)
& coll(M,A,O)
& perp(M,B,A,O)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,C,B)
& coll(D,B,C)
& perp(D,A,B,C)
& perp(A,B,A,C) )
=> cong(E,A,E,B) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416054]) ).
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]) ).
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]) ).
fof(nnf_95,plain,
? [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ~ cong(E,A,E,B)
& coll(E,B,M)
& coll(E,A,D)
& coll(F,B,M)
& coll(F,C,A)
& circle(O,A,G,NWPNT3)
& coll(G,B,M)
& coll(M,A,O)
& perp(M,B,A,O)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,C,B)
& coll(D,B,C)
& perp(D,A,B,C)
& perp(A,B,A,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL416054_neg]) ).
fof(sk_exemplo6GDDFULL416054_neg,plain,
( ~ cong(sK0,sK1,sK0,sK2)
& coll(sK0,sK2,sK4)
& coll(sK0,sK1,sK7)
& coll(sK3,sK2,sK4)
& coll(sK3,sK5,sK1)
& circle(sK6,sK1,sK11,sK12)
& coll(sK11,sK2,sK4)
& coll(sK4,sK1,sK6)
& perp(sK4,sK2,sK1,sK6)
& circle(sK6,sK1,sK9,sK10)
& midp(sK6,sK5,sK2)
& coll(sK7,sK2,sK5)
& perp(sK7,sK1,sK2,sK5)
& perp(sK1,sK2,sK1,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK5,sK7,sK6,sK9,sK10,sK4,sK11,sK12,sK3,sK0]),skolemize(B,sK2),skolemize(C,sK5),skolemize(A,sK1),skolemize(D,sK7),skolemize(O,sK6),skolemize(M,sK4),skolemize(G,sK11),skolemize(F,sK3),skolemize(E,sK0),skolemize(NWPNT1,sK9),skolemize(NWPNT2,sK10),skolemize(NWPNT3,sK12)],[nnf_95]) ).
cnf(c_177,negated_conjecture,
~ cong(sK0,sK1,sK0,sK2),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416054_neg]) ).
cnf(c_180,negated_conjecture,
coll(sK3,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416054_neg]) ).
cnf(c_181,negated_conjecture,
coll(sK3,sK5,sK1),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416054_neg]) ).
cnf(c_183,negated_conjecture,
coll(sK4,sK1,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416054_neg]) ).
cnf(c_184,negated_conjecture,
perp(sK4,sK2,sK1,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416054_neg]) ).
cnf(c_185,negated_conjecture,
midp(sK6,sK5,sK2),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416054_neg]) ).
cnf(c_186,negated_conjecture,
coll(sK7,sK2,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416054_neg]) ).
cnf(c_188,negated_conjecture,
perp(sK1,sK2,sK1,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416054_neg]) ).
fof(nnf_83,plain,
! [A,B,C,D,M,N,Q] :
? [P] :
( midp(P,A,Q)
| ~ coll(D,A,B)
| ~ coll(C,A,B)
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(fof_nnf,[status(thm)],[ruleX7]) ).
fof(sk_ruleX7,plain,
! [A,B,C,D,M,N,Q] :
( midp(sK8(A,B,C,D,M,N,Q),A,Q)
| ~ coll(D,A,B)
| ~ coll(C,A,B)
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(P,sK8(A,B,C,D,M,N,Q))],[nnf_83]) ).
cnf(c_205,plain,
( midp(sK8(B,C,E,F,A,D,V6),B,V6)
| ~ coll(F,B,C)
| ~ coll(E,B,C)
| ~ midp(D,E,F)
| ~ midp(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_ruleX7]) ).
cnf(c_224,plain,
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD69]) ).
cnf(c_225,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_226,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_227,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_229,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_230,plain,
( para(B,D,C,E)
| ~ midp(A,D,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD63]) ).
cnf(c_236,plain,
( perp(B,A,A,D)
| ~ cyclic(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD57]) ).
cnf(c_238,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_240,plain,
( cong(A,D,B,D)
| ~ midp(D,A,C)
| ~ perp(A,B,B,C) ),
inference(clausify,[status(thm)],[ruleD52]) ).
cnf(c_243,plain,
( midp(D,B,E)
| ~ coll(D,B,E)
| ~ para(A,D,C,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD45]) ).
cnf(c_246,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_249,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_264,plain,
( cong(A,B,E,F)
| ~ cong(C,D,E,F)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD25]) ).
cnf(c_265,plain,
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD24]) ).
cnf(c_266,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_272,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_274,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_275,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_276,plain,
( cyclic(B,C,D,E)
| ~ cong(A,B,A,E)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD13]) ).
cnf(c_277,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_278,plain,
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD10]) ).
cnf(c_279,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_280,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_281,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_283,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_284,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_285,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_286,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_287,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_302,plain,
( ~ cong(A,B,A,C)
| perp(B,C,C,C)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_172]) ).
cnf(c_320,plain,
( midp(sK8(B,C,B,C,A,A,D),B,D)
| ~ coll(C,B,C)
| ~ coll(B,B,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_205]) ).
cnf(c_327,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_229]) ).
cnf(c_328,plain,
( para(B,B,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_230]) ).
cnf(c_337,plain,
( cyclic(B,C,C,D)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_276]) ).
cnf(c_341,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_285]) ).
cnf(c_350,plain,
( cyclic(B,C,C,C)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_337]) ).
cnf(c_428,plain,
coll(sK6,sK5,sK2),
inference(resolve,[status(thm)],[c_224,c_185]) ).
cnf(c_429,plain,
cong(sK6,sK5,sK6,sK2),
inference(resolve,[status(thm)],[c_225,c_185]) ).
cnf(c_431,plain,
( para(A,sK5,B,sK2)
| ~ midp(sK6,A,B) ),
inference(resolve,[status(thm)],[c_230,c_185]) ).
cnf(c_441,plain,
midp(sK6,sK2,sK5),
inference(resolve,[status(thm)],[c_277,c_185]) ).
cnf(c_442,plain,
( para(sK1,sK2,A,B)
| ~ perp(sK1,sK5,A,B) ),
inference(resolve,[status(thm)],[c_279,c_188]) ).
cnf(c_444,plain,
( para(sK4,sK2,A,B)
| ~ perp(sK1,sK6,A,B) ),
inference(resolve,[status(thm)],[c_279,c_184]) ).
cnf(c_449,plain,
( para(A,B,sK1,sK6)
| ~ perp(A,B,sK4,sK2) ),
inference(resolve,[status(thm)],[c_279,c_184]) ).
cnf(c_452,plain,
perp(sK1,sK5,sK1,sK2),
inference(resolve,[status(thm)],[c_280,c_188]) ).
cnf(c_454,plain,
perp(sK1,sK6,sK4,sK2),
inference(resolve,[status(thm)],[c_280,c_184]) ).
cnf(c_457,plain,
perp(sK1,sK2,sK5,sK1),
inference(resolve,[status(thm)],[c_281,c_188]) ).
cnf(c_459,plain,
perp(sK4,sK2,sK6,sK1),
inference(resolve,[status(thm)],[c_281,c_184]) ).
cnf(c_476,plain,
coll(sK2,sK7,sK5),
inference(resolve,[status(thm)],[c_286,c_186]) ).
cnf(c_480,plain,
coll(sK2,sK3,sK4),
inference(resolve,[status(thm)],[c_286,c_180]) ).
cnf(c_484,plain,
coll(sK4,sK6,sK1),
inference(resolve,[status(thm)],[c_287,c_183]) ).
cnf(c_498,plain,
coll(sK6,sK6,sK4),
inference(resolve,[status(thm)],[c_341,c_183]) ).
cnf(c_500,plain,
coll(sK1,sK1,sK3),
inference(resolve,[status(thm)],[c_341,c_181]) ).
cnf(c_504,plain,
coll(sK2,sK2,sK6),
inference(resolve,[status(thm)],[c_428,c_341]) ).
cnf(c_506,plain,
coll(sK5,sK6,sK2),
inference(resolve,[status(thm)],[c_428,c_286]) ).
cnf(c_516,plain,
( midp(sK8(sK2,sK5,sK2,sK5,sK6,sK6,A),sK2,A)
| ~ coll(sK5,sK2,sK5)
| ~ coll(sK2,sK2,sK5) ),
inference(resolve,[status(thm)],[c_441,c_320]) ).
cnf(c_519,plain,
( para(A,sK2,B,sK5)
| ~ midp(sK6,A,B) ),
inference(resolve,[status(thm)],[c_441,c_230]) ).
cnf(c_521,plain,
cong(sK6,sK2,sK6,sK5),
inference(resolve,[status(thm)],[c_441,c_225]) ).
cnf(c_532,plain,
coll(sK5,sK5,sK2),
inference(resolve,[status(thm)],[c_476,c_341]) ).
cnf(c_550,plain,
( coll(A,sK4,sK2)
| ~ coll(sK2,sK3,A) ),
inference(resolve,[status(thm)],[c_480,c_285]) ).
cnf(c_551,plain,
( coll(sK4,A,sK2)
| ~ coll(sK2,sK3,A) ),
inference(resolve,[status(thm)],[c_480,c_285]) ).
cnf(c_565,plain,
( coll(A,sK1,sK4)
| ~ coll(sK4,sK6,A) ),
inference(resolve,[status(thm)],[c_484,c_285]) ).
cnf(c_592,plain,
coll(sK6,sK4,sK6),
inference(resolve,[status(thm)],[c_498,c_287]) ).
cnf(c_594,plain,
( coll(sK4,A,sK6)
| ~ coll(sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_498,c_285]) ).
cnf(c_601,plain,
( coll(A,sK3,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_500,c_285]) ).
cnf(c_615,plain,
coll(sK6,sK6,sK2),
inference(resolve,[status(thm)],[c_504,c_341]) ).
cnf(c_616,plain,
coll(sK2,sK6,sK2),
inference(resolve,[status(thm)],[c_504,c_287]) ).
cnf(c_623,plain,
coll(sK2,sK2,sK5),
inference(resolve,[status(thm)],[c_506,c_341]) ).
cnf(c_627,plain,
( midp(sK8(sK2,sK5,sK2,sK5,sK6,sK6,A),sK2,A)
| ~ coll(sK5,sK2,sK5) ),
inference(resolve,[status(thm)],[c_623,c_516]) ).
cnf(c_628,plain,
coll(sK5,sK2,sK5),
inference(resolve,[status(thm)],[c_532,c_287]) ).
cnf(c_631,plain,
midp(sK8(sK2,sK5,sK2,sK5,sK6,sK6,A),sK2,A),
inference(resolve,[status(thm)],[c_628,c_627]) ).
cnf(c_761,plain,
coll(sK4,sK6,sK6),
inference(resolve,[status(thm)],[c_592,c_286]) ).
cnf(c_806,plain,
coll(sK6,sK2,sK6),
inference(resolve,[status(thm)],[c_615,c_287]) ).
cnf(c_810,plain,
coll(sK6,sK2,sK2),
inference(resolve,[status(thm)],[c_616,c_286]) ).
cnf(c_988,plain,
coll(sK2,sK6,sK6),
inference(resolve,[status(thm)],[c_806,c_286]) ).
cnf(c_1145,plain,
cyclic(sK5,sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_429,c_350]) ).
cnf(c_1159,plain,
( cyclic(sK5,sK2,sK2,A)
| ~ cong(sK6,sK5,sK6,A) ),
inference(resolve,[status(thm)],[c_429,c_337]) ).
cnf(c_1202,plain,
cong(sK6,sK5,sK2,sK6),
inference(resolve,[status(thm)],[c_429,c_266]) ).
cnf(c_1203,plain,
( cong(A,B,sK6,sK2)
| ~ cong(A,B,sK6,sK5) ),
inference(resolve,[status(thm)],[c_429,c_264]) ).
cnf(c_1232,plain,
perp(sK1,sK5,sK2,sK1),
inference(resolve,[status(thm)],[c_452,c_281]) ).
cnf(c_1256,plain,
perp(sK1,sK6,sK2,sK4),
inference(resolve,[status(thm)],[c_454,c_281]) ).
cnf(c_1270,plain,
perp(sK5,sK1,sK1,sK2),
inference(resolve,[status(thm)],[c_457,c_280]) ).
cnf(c_1298,plain,
perp(sK6,sK1,sK4,sK2),
inference(resolve,[status(thm)],[c_459,c_280]) ).
cnf(c_1461,plain,
( cyclic(sK2,sK2,sK2,A)
| ~ cyclic(sK5,sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_1145,c_272]) ).
cnf(c_1500,plain,
cong(sK2,sK6,sK6,sK5),
inference(resolve,[status(thm)],[c_1202,c_265]) ).
cnf(c_1504,plain,
perp(sK2,sK1,sK1,sK5),
inference(resolve,[status(thm)],[c_1232,c_280]) ).
cnf(c_1550,plain,
( cong(sK5,A,sK1,A)
| ~ midp(A,sK5,sK2) ),
inference(resolve,[status(thm)],[c_1270,c_240]) ).
cnf(c_1587,plain,
( cong(sK6,sK4,sK6,sK2)
| ~ midp(sK1,sK4,sK2) ),
inference(resolve,[status(thm)],[c_1298,c_238]) ).
cnf(c_1728,plain,
( cong(sK2,A,sK1,A)
| ~ midp(A,sK2,sK5) ),
inference(resolve,[status(thm)],[c_1504,c_240]) ).
cnf(c_2286,plain,
para(sK1,sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_442,c_1232]) ).
cnf(c_2287,plain,
para(sK1,sK2,sK1,sK2),
inference(resolve,[status(thm)],[c_442,c_452]) ).
cnf(c_2297,plain,
para(sK2,sK1,sK1,sK2),
inference(resolve,[status(thm)],[c_2286,c_283]) ).
cnf(c_2309,plain,
( midp(A,sK2,sK2)
| ~ midp(A,sK1,sK1) ),
inference(resolve,[status(thm)],[c_2287,c_327]) ).
cnf(c_2315,plain,
coll(sK1,sK2,sK2),
inference(resolve,[status(thm)],[c_2287,c_227]) ).
cnf(c_2322,plain,
coll(sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_2315,c_341]) ).
cnf(c_2330,plain,
coll(sK1,sK1,sK2),
inference(resolve,[status(thm)],[c_2322,c_341]) ).
cnf(c_2338,plain,
para(sK4,sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_444,c_1256]) ).
cnf(c_2438,plain,
( midp(sK1,A,sK2)
| ~ coll(sK1,A,sK2)
| ~ midp(sK2,A,sK1) ),
inference(resolve,[status(thm)],[c_2297,c_243]) ).
cnf(c_2450,plain,
para(sK2,sK4,sK4,sK2),
inference(resolve,[status(thm)],[c_2338,c_283]) ).
cnf(c_2454,plain,
( midp(sK2,A,sK4)
| ~ coll(sK2,A,sK4)
| ~ midp(sK4,A,sK2) ),
inference(resolve,[status(thm)],[c_2338,c_243]) ).
cnf(c_2508,plain,
para(sK6,sK1,sK1,sK6),
inference(resolve,[status(thm)],[c_449,c_1298]) ).
cnf(c_2588,plain,
para(sK2,sK4,sK2,sK4),
inference(resolve,[status(thm)],[c_2450,c_284]) ).
cnf(c_2638,plain,
para(sK6,sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_2508,c_284]) ).
cnf(c_2753,plain,
( midp(A,sK4,sK4)
| ~ midp(A,sK2,sK2) ),
inference(resolve,[status(thm)],[c_2588,c_327]) ).
cnf(c_2756,plain,
eqangle(sK2,sK4,A,B,sK2,sK4,A,B),
inference(resolve,[status(thm)],[c_2588,c_249]) ).
cnf(c_2797,plain,
( midp(A,sK1,sK1)
| ~ midp(A,sK6,sK6) ),
inference(resolve,[status(thm)],[c_2638,c_327]) ).
cnf(c_3242,plain,
coll(sK4,sK2,sK6),
inference(resolve,[status(thm)],[c_594,c_615]) ).
cnf(c_3289,plain,
coll(sK2,sK3,sK1),
inference(resolve,[status(thm)],[c_601,c_2330]) ).
cnf(c_3324,plain,
coll(sK4,sK6,sK2),
inference(resolve,[status(thm)],[c_3242,c_287]) ).
cnf(c_3422,plain,
coll(sK4,sK1,sK2),
inference(resolve,[status(thm)],[c_3289,c_551]) ).
cnf(c_3423,plain,
coll(sK1,sK4,sK2),
inference(resolve,[status(thm)],[c_3289,c_550]) ).
cnf(c_3512,plain,
para(sK2,sK2,A,A),
inference(resolve,[status(thm)],[c_631,c_328]) ).
cnf(c_3520,plain,
midp(sK8(sK2,sK5,sK2,sK5,sK6,sK6,A),A,sK2),
inference(resolve,[status(thm)],[c_631,c_277]) ).
cnf(c_3523,plain,
( para(B,sK2,C,A)
| ~ midp(sK8(sK2,sK5,sK2,sK5,sK6,sK6,A),B,C) ),
inference(resolve,[status(thm)],[c_631,c_230]) ).
cnf(c_3525,plain,
cong(sK8(sK2,sK5,sK2,sK5,sK6,sK6,A),sK2,sK8(sK2,sK5,sK2,sK5,sK6,sK6,A),A),
inference(resolve,[status(thm)],[c_631,c_225]) ).
cnf(c_3526,plain,
coll(sK8(sK2,sK5,sK2,sK5,sK6,sK6,A),sK2,A),
inference(resolve,[status(thm)],[c_631,c_224]) ).
cnf(c_3559,plain,
coll(sK2,sK1,sK4),
inference(resolve,[status(thm)],[c_3324,c_565]) ).
cnf(c_5144,plain,
( perp(sK2,sK2,B,C)
| ~ perp(A,A,B,C) ),
inference(resolve,[status(thm)],[c_3512,c_278]) ).
cnf(c_6434,plain,
cong(sK2,sK6,sK6,sK2),
inference(resolve,[status(thm)],[c_1203,c_1500]) ).
cnf(c_6435,plain,
cong(sK6,sK2,sK6,sK2),
inference(resolve,[status(thm)],[c_1203,c_521]) ).
cnf(c_6438,plain,
cong(sK2,sK6,sK2,sK6),
inference(resolve,[status(thm)],[c_6434,c_266]) ).
cnf(c_44912,plain,
( midp(sK6,sK2,sK2)
| ~ coll(sK6,sK2,sK2) ),
inference(resolve,[status(thm)],[c_6435,c_226]) ).
cnf(c_6509,plain,
midp(sK6,sK2,sK2),
inference(resolve,[status(thm)],[c_810,c_44912]) ).
cnf(c_6546,plain,
midp(sK6,sK4,sK4),
inference(resolve,[status(thm)],[c_6509,c_2753]) ).
cnf(c_6561,plain,
para(sK2,sK2,sK2,sK5),
inference(resolve,[status(thm)],[c_6509,c_519]) ).
cnf(c_6564,plain,
para(sK2,sK5,sK2,sK2),
inference(resolve,[status(thm)],[c_6509,c_431]) ).
cnf(c_6665,plain,
cong(sK6,sK4,sK6,sK4),
inference(resolve,[status(thm)],[c_6546,c_225]) ).
cnf(c_44913,plain,
( midp(sK2,sK6,sK6)
| ~ coll(sK2,sK6,sK6) ),
inference(resolve,[status(thm)],[c_6438,c_226]) ).
cnf(c_7095,plain,
midp(sK2,sK6,sK6),
inference(resolve,[status(thm)],[c_988,c_44913]) ).
cnf(c_7121,plain,
midp(sK2,sK1,sK1),
inference(resolve,[status(thm)],[c_7095,c_2797]) ).
cnf(c_7170,plain,
midp(sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_7121,c_2309]) ).
cnf(c_7201,plain,
cong(sK2,sK1,sK2,sK1),
inference(resolve,[status(thm)],[c_7121,c_225]) ).
cnf(c_44914,plain,
( midp(A,sK5,sK2)
| ~ para(sK2,sK5,sK2,sK2)
| ~ midp(A,sK2,sK2) ),
inference(resolve,[status(thm)],[c_6561,c_229]) ).
cnf(c_7485,plain,
( midp(A,sK5,sK2)
| ~ midp(A,sK2,sK2) ),
inference(resolve,[status(thm)],[c_6564,c_44914]) ).
cnf(c_7732,plain,
cong(sK6,sK4,sK4,sK6),
inference(resolve,[status(thm)],[c_6665,c_266]) ).
cnf(c_9830,plain,
cong(sK4,sK6,sK6,sK4),
inference(resolve,[status(thm)],[c_7732,c_265]) ).
cnf(c_10654,plain,
cong(sK4,sK6,sK4,sK6),
inference(resolve,[status(thm)],[c_9830,c_266]) ).
cnf(c_44915,plain,
( midp(sK4,sK6,sK6)
| ~ coll(sK4,sK6,sK6) ),
inference(resolve,[status(thm)],[c_10654,c_226]) ).
cnf(c_10990,plain,
midp(sK4,sK6,sK6),
inference(resolve,[status(thm)],[c_761,c_44915]) ).
cnf(c_11013,plain,
midp(sK4,sK1,sK1),
inference(resolve,[status(thm)],[c_10990,c_2797]) ).
cnf(c_11055,plain,
midp(sK4,sK2,sK2),
inference(resolve,[status(thm)],[c_11013,c_2309]) ).
cnf(c_15339,plain,
cong(sK5,sK6,sK1,sK6),
inference(resolve,[status(thm)],[c_1550,c_185]) ).
cnf(c_15341,plain,
cong(sK5,sK6,sK6,sK1),
inference(resolve,[status(thm)],[c_15339,c_266]) ).
cnf(c_15363,plain,
cong(sK6,sK1,sK5,sK6),
inference(resolve,[status(thm)],[c_15341,c_265]) ).
cnf(c_15404,plain,
cong(sK6,sK1,sK6,sK5),
inference(resolve,[status(thm)],[c_15363,c_266]) ).
cnf(c_15573,plain,
cong(sK6,sK5,sK6,sK1),
inference(resolve,[status(thm)],[c_15404,c_265]) ).
cnf(c_16023,plain,
cyclic(sK5,sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_15573,c_1159]) ).
cnf(c_16704,plain,
cyclic(sK2,sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_16023,c_1461]) ).
cnf(c_17215,plain,
( cyclic(sK2,sK2,A,sK1)
| ~ cyclic(sK2,sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_16704,c_272]) ).
cnf(c_18848,plain,
midp(sK4,sK5,sK2),
inference(resolve,[status(thm)],[c_7485,c_11055]) ).
cnf(c_18850,plain,
midp(sK2,sK5,sK2),
inference(resolve,[status(thm)],[c_7485,c_7170]) ).
cnf(c_19272,plain,
midp(sK4,sK2,sK5),
inference(resolve,[status(thm)],[c_18848,c_277]) ).
cnf(c_19384,plain,
midp(sK2,sK2,sK5),
inference(resolve,[status(thm)],[c_18850,c_277]) ).
cnf(c_19695,plain,
cong(sK2,sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_19272,c_1728]) ).
cnf(c_19757,plain,
cong(sK2,sK2,sK1,sK2),
inference(resolve,[status(thm)],[c_19384,c_1728]) ).
cnf(c_20594,plain,
cong(sK2,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_19695,c_266]) ).
cnf(c_20673,plain,
cong(sK2,sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_19757,c_266]) ).
cnf(c_21548,plain,
cong(sK4,sK1,sK2,sK4),
inference(resolve,[status(thm)],[c_20594,c_265]) ).
cnf(c_44916,plain,
( midp(sK2,sK2,sK1)
| ~ coll(sK2,sK2,sK1) ),
inference(resolve,[status(thm)],[c_20673,c_226]) ).
cnf(c_21654,plain,
midp(sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_2322,c_44916]) ).
cnf(c_22703,plain,
cong(sK4,sK1,sK4,sK2),
inference(resolve,[status(thm)],[c_21548,c_266]) ).
cnf(c_44917,plain,
( midp(sK4,sK1,sK2)
| ~ coll(sK4,sK1,sK2) ),
inference(resolve,[status(thm)],[c_22703,c_226]) ).
cnf(c_23590,plain,
midp(sK4,sK1,sK2),
inference(resolve,[status(thm)],[c_3422,c_44917]) ).
cnf(c_44918,plain,
( midp(sK2,sK1,sK4)
| ~ coll(sK2,sK1,sK4) ),
inference(resolve,[status(thm)],[c_2454,c_23590]) ).
cnf(c_33437,plain,
midp(sK2,sK1,sK4),
inference(resolve,[status(thm)],[c_3559,c_44918]) ).
cnf(c_33488,plain,
midp(sK2,sK4,sK1),
inference(resolve,[status(thm)],[c_33437,c_277]) ).
cnf(c_44919,plain,
( midp(sK1,sK4,sK2)
| ~ coll(sK1,sK4,sK2) ),
inference(resolve,[status(thm)],[c_33488,c_2438]) ).
cnf(c_33572,plain,
midp(sK1,sK4,sK2),
inference(resolve,[status(thm)],[c_3423,c_44919]) ).
cnf(c_33585,plain,
cong(sK6,sK4,sK6,sK2),
inference(resolve,[status(thm)],[c_33572,c_1587]) ).
cnf(c_34461,plain,
cyclic(sK4,sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_33585,c_350]) ).
cnf(c_35320,plain,
( cyclic(sK2,sK2,sK2,A)
| ~ cyclic(sK4,sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_34461,c_272]) ).
cnf(c_38963,plain,
( cyclic(sK4,A,sK2,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_2756,c_246]) ).
cnf(c_41272,plain,
para(A,sK2,sK2,A),
inference(resolve,[status(thm)],[c_3523,c_3520]) ).
cnf(c_41274,plain,
para(A,sK2,A,sK2),
inference(resolve,[status(thm)],[c_41272,c_284]) ).
cnf(c_41287,plain,
coll(A,sK2,sK2),
inference(resolve,[status(thm)],[c_41274,c_227]) ).
cnf(c_41321,plain,
coll(sK2,sK2,A),
inference(resolve,[status(thm)],[c_41287,c_341]) ).
cnf(c_41325,plain,
cyclic(sK4,A,sK2,sK2),
inference(resolve,[status(thm)],[c_41321,c_38963]) ).
cnf(c_44920,plain,
( perp(sK2,A,A,A)
| ~ coll(sK8(sK2,sK5,sK2,sK5,sK6,sK6,A),sK2,A) ),
inference(resolve,[status(thm)],[c_3525,c_302]) ).
cnf(c_41602,plain,
perp(sK2,A,A,A),
inference(resolve,[status(thm)],[c_3526,c_44920]) ).
cnf(c_42711,plain,
cyclic(sK4,sK2,A,sK2),
inference(resolve,[status(thm)],[c_41325,c_274]) ).
cnf(c_42724,plain,
perp(A,A,sK2,A),
inference(resolve,[status(thm)],[c_41602,c_280]) ).
cnf(c_42777,plain,
cyclic(sK4,sK2,sK2,A),
inference(resolve,[status(thm)],[c_42711,c_275]) ).
cnf(c_42783,plain,
cyclic(sK2,sK2,sK2,A),
inference(resolve,[status(thm)],[c_42777,c_35320]) ).
cnf(c_42786,plain,
cyclic(sK2,sK2,A,sK1),
inference(resolve,[status(thm)],[c_42783,c_17215]) ).
cnf(c_42897,plain,
perp(A,A,A,sK2),
inference(resolve,[status(thm)],[c_42724,c_281]) ).
cnf(c_44921,plain,
( perp(A,sK2,sK2,sK1)
| ~ cong(sK2,sK1,sK2,sK1)
| ~ cong(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_42786,c_236]) ).
cnf(c_43009,plain,
( perp(A,sK2,sK2,sK1)
| ~ cong(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_7201,c_44921]) ).
cnf(c_43800,plain,
perp(sK2,sK2,A,sK2),
inference(resolve,[status(thm)],[c_5144,c_42897]) ).
cnf(c_43993,plain,
perp(A,sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_43800,c_280]) ).
cnf(c_44922,plain,
( cong(A,sK2,A,sK2)
| ~ midp(sK2,sK2,sK2) ),
inference(resolve,[status(thm)],[c_43993,c_238]) ).
cnf(c_44224,plain,
cong(A,sK2,A,sK2),
inference(resolve,[status(thm)],[c_7170,c_44922]) ).
cnf(c_44387,plain,
cong(A,sK2,sK2,A),
inference(resolve,[status(thm)],[c_44224,c_266]) ).
cnf(c_44421,plain,
cong(sK2,A,A,sK2),
inference(resolve,[status(thm)],[c_44387,c_265]) ).
cnf(c_44431,plain,
cong(sK2,A,sK2,A),
inference(resolve,[status(thm)],[c_44421,c_266]) ).
cnf(c_44436,plain,
perp(A,sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_44431,c_43009]) ).
cnf(c_44923,plain,
( cong(A,sK2,A,sK1)
| ~ midp(sK2,sK2,sK1) ),
inference(resolve,[status(thm)],[c_44436,c_238]) ).
cnf(c_44681,plain,
cong(A,sK2,A,sK1),
inference(resolve,[status(thm)],[c_21654,c_44923]) ).
cnf(c_44910,plain,
cong(A,sK1,A,sK2),
inference(resolve,[status(thm)],[c_44681,c_265]) ).
cnf(c_44911,plain,
$false,
inference(resolve,[status(thm)],[c_44910,c_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO592+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 13:43:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 1721217 was started by sandbox on n009,
% 0.08/0.36 % Fri Sep 25 13:43:13 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.38
% 0.12/0.38 % From the command line: assign(max_seconds, 300).
% 245.12/32.59
% 245.12/32.59 % given #500 (T,wt=10): 1478 perp(c1,c1,c2,c1). [resolve(1161,a,280,a)].
% 245.12/32.59
% 245.12/32.59 % given #1000 (W,wt=9): 3811 coll(c7,c1,c5). [resolve(3397,a,287,a)].
% 245.12/32.59
% 245.12/32.59 % given #1500 (T,wt=13): 1046 -coll(c3,c4,A) | coll(A,c3,c3). [resolve(880,a,285,b)].
% 245.12/32.59
% 245.12/32.59 % given #2000 (W,wt=10): 8121 para(c4,c4,c5,c5). [resolve(6833,a,283,a)].
% 245.12/32.59
% 245.12/32.59 % given #2500 (T,wt=13): 3953 -coll(c5,c2,A) | coll(c6,A,c5). [resolve(3461,a,285,a)].
% 245.12/32.59
% 245.12/32.59 % given #3000 (W,wt=13): 4652 -coll(c3,c7,A) | coll(c5,A,c3). [resolve(4185,a,285,a)].
% 245.12/32.59
% 245.12/32.59 % given #3500 (T,wt=13): 4945 -coll(c9,c8,A) | coll(c8,A,c9). [resolve(4749,a,285,a)].
% 245.12/32.59
% 245.12/32.59 % given #4000 (W,wt=10): 22521 cong(c4,c3,c4,c1). [resolve(21386,a,266,a)].
% 245.12/32.59
% 245.12/32.59 % given #4500 (T,wt=10): 27235 cyclic(c1,c1,c5,c5). [resolve(26511,a,336,a)].
% 245.12/32.59
% 245.12/32.59 % given #5000 (W,wt=10): 29941 para(c1,c4,c2,c5). [resolve(29657,a,283,a)].
% 245.12/32.59
% 245.12/32.59 % given #5500 (T,wt=10): 32748 cong(c4,c5,c1,c5). [resolve(32082,a,266,a)].
% 245.12/32.59
% 245.12/32.59 % given #6000 (W,wt=10): 35877 cong(c6,c1,c2,c5). [resolve(35080,a,265,a)].
% 245.12/32.59
% 245.12/32.59 % given #6500 (T,wt=10): 38950 cong(c6,c5,c5,c5). [resolve(38314,a,265,a)].
% 245.12/32.59
% 245.12/32.59 % given #7000 (W,wt=13): 23546 -midp(A,c3,c3) | midp(A,c5,c2). [resolve(22635,a,229,b),unit_del(b,23539)].
% 245.12/32.59
% 245.12/32.59 % given #7500 (T,wt=9): 42170 coll(c2,A,c8). [back_unit_del(3421),unit_del(a,42159)].
% 245.12/32.59
% 245.12/32.59 % given #8000 (W,wt=10): 43157 cyclic(c1,A,c6,B). [resolve(42834,a,272,a),unit_del(a,43072)].
% 245.12/32.59
% 245.12/32.59 % given #8500 (T,wt=10): 43722 para(c6,c5,A,A). [resolve(5142,a,19255,a)].
% 245.12/32.59
% 245.12/32.59 % SZS status Theorem for theBenchmark
% 245.12/32.59
% 245.12/32.59 % Proof 1 at 6.25 (+ 1.54) seconds.
% 245.12/32.59 % Length of proof is 231.
% 245.12/32.59 % Level of proof is 35.
% 245.12/32.59 % Maximum clause weight is 37.000.
% 245.12/32.59 % Given clauses 8813.
% 245.12/32.59
% 245.12/32.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------