%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO644+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 : n026.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 91.49s 13.03s
% Output : CNFRefutation 91.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 33
% Syntax : Number of formulae : 252 ( 121 unt; 0 def)
% Number of atoms : 473 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 360 ( 139 ~; 135 |; 52 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 450 ( 53 sgn 155 !; 8 ?)
% 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(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(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(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('theBenchmark.p',ruleD23) ).
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(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ),
file('theBenchmark.p',ruleD41) ).
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(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(ruleD48,axiom,
! [A,B,C,O,X] :
( ( perp(O,A,A,X)
& circle(O,A,B,C) )
=> eqangle(A,X,A,B,C,A,C,B) ),
file('theBenchmark.p',ruleD48) ).
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(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(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(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(exemplo6GDDFULLmoreE0061,conjecture,
! [A,B,C,D,E,F,G,H] :
( ( coll(H,A,C)
& coll(H,B,E)
& coll(G,D,F)
& coll(G,A,C)
& midp(F,B,A)
& midp(E,C,D)
& para(A,B,C,D)
& para(B,C,A,D) )
=> cong(A,G,G,H) ),
file('theBenchmark.p',exemplo6GDDFULLmoreE0061) ).
fof(exemplo6GDDFULLmoreE0061_neg,negated_conjecture,
~ ! [A,B,C,D,E,F,G,H] :
( ( coll(H,A,C)
& coll(H,B,E)
& coll(G,D,F)
& coll(G,A,C)
& midp(F,B,A)
& midp(E,C,D)
& para(A,B,C,D)
& para(B,C,A,D) )
=> cong(A,G,G,H) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0061]) ).
cnf(c_96,plain,
( eqangle(B,E,B,C,D,B,D,C)
| ~ perp(A,B,B,E)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD48]) ).
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_142,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_146,plain,
( ~ cong(A,B,A,E)
| ~ cong(A,B,A,D)
| eqangle(B,C,B,D,E,B,E,D)
| ~ perp(A,B,B,C) ),
inference(resolve,[status(thm)],[c_96,c_97]) ).
fof(nnf_95,plain,
? [A,B,C,D,E,F,G,H] :
( ~ cong(A,G,G,H)
& coll(H,A,C)
& coll(H,B,E)
& coll(G,D,F)
& coll(G,A,C)
& midp(F,B,A)
& midp(E,C,D)
& para(A,B,C,D)
& para(B,C,A,D) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULLmoreE0061_neg]) ).
fof(sk_exemplo6GDDFULLmoreE0061_neg,plain,
( ~ cong(sK0,sK1,sK1,sK2)
& coll(sK2,sK0,sK3)
& coll(sK2,sK6,sK4)
& coll(sK1,sK5,sK7)
& coll(sK1,sK0,sK3)
& midp(sK7,sK6,sK0)
& midp(sK4,sK3,sK5)
& para(sK0,sK6,sK3,sK5)
& para(sK6,sK3,sK0,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK3,sK0,sK5,sK4,sK7,sK1,sK2]),skolemize(A,sK0),skolemize(B,sK6),skolemize(C,sK3),skolemize(D,sK5),skolemize(E,sK4),skolemize(F,sK7),skolemize(G,sK1),skolemize(H,sK2)],[nnf_95]) ).
cnf(c_147,negated_conjecture,
~ cong(sK0,sK1,sK1,sK2),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULLmoreE0061_neg]) ).
cnf(c_151,negated_conjecture,
coll(sK1,sK0,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULLmoreE0061_neg]) ).
cnf(c_153,negated_conjecture,
midp(sK4,sK3,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULLmoreE0061_neg]) ).
cnf(c_191,plain,
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD69]) ).
cnf(c_192,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_193,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_196,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_203,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_204,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_205,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_207,plain,
( cong(A,D,B,D)
| ~ midp(D,A,C)
| ~ perp(A,B,B,C) ),
inference(clausify,[status(thm)],[ruleD52]) ).
cnf(c_211,plain,
( para(A,D,C,E)
| ~ midp(D,B,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD44]) ).
cnf(c_212,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_213,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_215,plain,
( eqangle(C,A,C,B,D,A,D,B)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD41]) ).
cnf(c_216,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_233,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_237,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_239,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_240,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_241,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_242,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_243,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_244,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_245,plain,
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD10]) ).
cnf(c_246,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_247,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_250,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_251,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_252,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_253,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_254,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_269,plain,
( ~ cong(A,B,A,C)
| perp(B,C,C,C)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_142]) ).
cnf(c_273,plain,
( ~ cong(A,B,A,D)
| eqangle(B,C,B,D,D,B,D,D)
| ~ perp(A,B,B,C) ),
inference(factor,[status(thm)],[c_146]) ).
cnf(c_297,plain,
( perp(B,A,A,B)
| ~ cyclic(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_203]) ).
cnf(c_299,plain,
( para(A,A,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_211]) ).
cnf(c_300,plain,
( cong(A,B,D,D)
| ~ eqangle(C,A,C,B,E,D,E,D)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_212]) ).
cnf(c_301,plain,
( cong(A,B,D,E)
| ~ eqangle(C,A,C,B,D,D,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_212]) ).
cnf(c_303,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_239]) ).
cnf(c_304,plain,
( cyclic(B,C,C,D)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_243]) ).
cnf(c_308,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_252]) ).
cnf(c_316,plain,
( cong(A,B,D,D)
| ~ eqangle(C,A,C,B,D,D,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_300]) ).
cnf(c_317,plain,
( cyclic(B,C,C,C)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_304]) ).
cnf(c_502,plain,
coll(sK4,sK3,sK5),
inference(resolve,[status(thm)],[c_191,c_153]) ).
cnf(c_504,plain,
cong(sK4,sK3,sK4,sK5),
inference(resolve,[status(thm)],[c_192,c_153]) ).
cnf(c_546,plain,
( para(sK4,A,sK5,B)
| ~ midp(A,sK3,B) ),
inference(resolve,[status(thm)],[c_211,c_153]) ).
cnf(c_556,plain,
midp(sK4,sK5,sK3),
inference(resolve,[status(thm)],[c_244,c_153]) ).
cnf(c_580,plain,
coll(sK1,sK3,sK0),
inference(resolve,[status(thm)],[c_254,c_151]) ).
cnf(c_626,plain,
coll(sK3,sK3,sK1),
inference(resolve,[status(thm)],[c_308,c_151]) ).
cnf(c_630,plain,
coll(sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_502,c_308]) ).
cnf(c_36421,plain,
( ~ cong(sK4,sK3,sK4,sK5)
| perp(sK3,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_502,c_269]) ).
cnf(c_642,plain,
perp(sK3,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_504,c_36421]) ).
cnf(c_643,plain,
coll(sK4,sK5,sK3),
inference(resolve,[status(thm)],[c_502,c_254]) ).
cnf(c_644,plain,
coll(sK3,sK4,sK5),
inference(resolve,[status(thm)],[c_502,c_253]) ).
cnf(c_715,plain,
cong(sK4,sK5,sK4,sK3),
inference(resolve,[status(thm)],[c_556,c_192]) ).
cnf(c_954,plain,
( coll(A,sK0,sK1)
| ~ coll(sK1,sK3,A) ),
inference(resolve,[status(thm)],[c_580,c_252]) ).
cnf(c_955,plain,
( coll(sK0,A,sK1)
| ~ coll(sK1,sK3,A) ),
inference(resolve,[status(thm)],[c_580,c_252]) ).
cnf(c_1106,plain,
coll(sK3,sK1,sK3),
inference(resolve,[status(thm)],[c_626,c_254]) ).
cnf(c_1107,plain,
( coll(A,sK1,sK3)
| ~ coll(sK3,sK3,A) ),
inference(resolve,[status(thm)],[c_626,c_252]) ).
cnf(c_1262,plain,
coll(sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_630,c_254]) ).
cnf(c_1286,plain,
coll(sK3,sK3,sK4),
inference(resolve,[status(thm)],[c_643,c_308]) ).
cnf(c_36422,plain,
( ~ cong(sK4,sK5,sK4,sK3)
| perp(sK5,sK3,sK3,sK3) ),
inference(resolve,[status(thm)],[c_643,c_269]) ).
cnf(c_1298,plain,
perp(sK5,sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_715,c_36422]) ).
cnf(c_1299,plain,
coll(sK5,sK4,sK3),
inference(resolve,[status(thm)],[c_643,c_253]) ).
cnf(c_1318,plain,
coll(sK5,sK5,sK3),
inference(resolve,[status(thm)],[c_644,c_308]) ).
cnf(c_2071,plain,
coll(sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_1106,c_308]) ).
cnf(c_2400,plain,
coll(sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_1262,c_308]) ).
cnf(c_2459,plain,
coll(sK3,sK4,sK3),
inference(resolve,[status(thm)],[c_1286,c_254]) ).
cnf(c_2483,plain,
coll(sK3,sK3,sK5),
inference(resolve,[status(thm)],[c_1299,c_308]) ).
cnf(c_2535,plain,
coll(sK5,sK3,sK5),
inference(resolve,[status(thm)],[c_1318,c_254]) ).
cnf(c_3605,plain,
( midp(sK3,sK3,sK3)
| ~ cong(sK3,sK3,sK3,sK3) ),
inference(resolve,[status(thm)],[c_2071,c_193]) ).
cnf(c_4051,plain,
( cyclic(A,sK5,sK5,sK5)
| ~ eqangle(sK5,A,sK5,sK5,sK5,A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_2400,c_213]) ).
cnf(c_4055,plain,
( midp(sK5,sK5,sK5)
| ~ cong(sK5,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_2400,c_193]) ).
cnf(c_4162,plain,
( ~ cong(sK3,sK4,sK3,sK3)
| perp(sK4,sK3,sK3,sK3) ),
inference(resolve,[status(thm)],[c_2459,c_269]) ).
cnf(c_4163,plain,
coll(sK4,sK3,sK3),
inference(resolve,[status(thm)],[c_2459,c_253]) ).
cnf(c_4202,plain,
coll(sK3,sK5,sK3),
inference(resolve,[status(thm)],[c_2483,c_254]) ).
cnf(c_4276,plain,
coll(sK3,sK5,sK5),
inference(resolve,[status(thm)],[c_2535,c_253]) ).
cnf(c_5564,plain,
( midp(sK4,sK3,sK3)
| ~ cong(sK4,sK3,sK4,sK3) ),
inference(resolve,[status(thm)],[c_4163,c_193]) ).
cnf(c_5592,plain,
coll(sK5,sK3,sK3),
inference(resolve,[status(thm)],[c_4202,c_253]) ).
cnf(c_5644,plain,
( midp(sK3,sK5,sK5)
| ~ cong(sK3,sK5,sK3,sK5) ),
inference(resolve,[status(thm)],[c_4276,c_193]) ).
cnf(c_6205,plain,
( midp(sK5,sK3,sK3)
| ~ cong(sK5,sK3,sK5,sK3) ),
inference(resolve,[status(thm)],[c_5592,c_193]) ).
cnf(c_6301,plain,
cyclic(sK3,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_504,c_317]) ).
cnf(c_6763,plain,
( cong(sK3,sK5,sK3,sK5)
| ~ midp(sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_642,c_205]) ).
cnf(c_6893,plain,
cyclic(sK5,sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_715,c_317]) ).
cnf(c_7177,plain,
( cong(sK5,sK3,sK5,sK3)
| ~ midp(sK3,sK3,sK3) ),
inference(resolve,[status(thm)],[c_1298,c_205]) ).
cnf(c_7248,plain,
cyclic(sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_6301,c_303]) ).
cnf(c_7256,plain,
cyclic(sK5,sK3,sK5,sK5),
inference(resolve,[status(thm)],[c_6301,c_240]) ).
cnf(c_7537,plain,
cyclic(sK3,sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_6893,c_303]) ).
cnf(c_7657,plain,
( cong(sK5,sK5,sK5,sK5)
| ~ eqangle(sK5,sK5,sK5,sK5,sK5,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_7248,c_316]) ).
cnf(c_7665,plain,
eqangle(sK5,sK5,sK5,sK5,sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_7248,c_215]) ).
cnf(c_7688,plain,
cong(sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_7665,c_7657]) ).
cnf(c_7690,plain,
midp(sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_7688,c_4055]) ).
cnf(c_7691,plain,
cong(sK3,sK5,sK3,sK5),
inference(resolve,[status(thm)],[c_7690,c_6763]) ).
cnf(c_7695,plain,
midp(sK3,sK5,sK5),
inference(resolve,[status(thm)],[c_7691,c_5644]) ).
cnf(c_7707,plain,
para(sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_7690,c_299]) ).
cnf(c_7721,plain,
( cong(sK5,sK5,A,sK5)
| ~ perp(sK5,A,A,sK5) ),
inference(resolve,[status(thm)],[c_7690,c_207]) ).
cnf(c_7834,plain,
cyclic(sK5,sK5,sK3,sK5),
inference(resolve,[status(thm)],[c_7256,c_241]) ).
cnf(c_8264,plain,
( cong(sK3,sK3,sK3,sK3)
| ~ eqangle(sK3,sK3,sK3,sK3,sK3,sK3,sK3,sK3) ),
inference(resolve,[status(thm)],[c_7537,c_316]) ).
cnf(c_8272,plain,
eqangle(sK3,sK3,sK3,sK3,sK3,sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_7537,c_215]) ).
cnf(c_8295,plain,
cong(sK3,sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_8272,c_8264]) ).
cnf(c_8297,plain,
midp(sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_8295,c_3605]) ).
cnf(c_8298,plain,
cong(sK5,sK3,sK5,sK3),
inference(resolve,[status(thm)],[c_8297,c_7177]) ).
cnf(c_8302,plain,
midp(sK5,sK3,sK3),
inference(resolve,[status(thm)],[c_8298,c_6205]) ).
cnf(c_8882,plain,
( eqangle(sK5,A,sK5,sK5,sK5,sK5,sK5,sK5)
| ~ perp(sK3,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_7691,c_273]) ).
cnf(c_9017,plain,
eqangle(sK5,sK5,A,B,sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_7707,c_216]) ).
cnf(c_9028,plain,
cyclic(sK5,sK5,sK5,sK3),
inference(resolve,[status(thm)],[c_7834,c_242]) ).
cnf(c_9619,plain,
( perp(sK3,sK5,sK5,A)
| ~ cyclic(sK5,sK5,sK3,A)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_8298,c_203]) ).
cnf(c_10108,plain,
( cyclic(sK5,sK5,sK3,A)
| ~ cyclic(sK5,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_9028,c_239]) ).
cnf(c_11099,plain,
coll(sK5,sK1,sK3),
inference(resolve,[status(thm)],[c_1107,c_2483]) ).
cnf(c_11118,plain,
coll(sK1,sK5,sK3),
inference(resolve,[status(thm)],[c_11099,c_253]) ).
cnf(c_11330,plain,
coll(sK1,sK3,sK5),
inference(resolve,[status(thm)],[c_11118,c_254]) ).
cnf(c_11666,plain,
coll(sK0,sK5,sK1),
inference(resolve,[status(thm)],[c_11330,c_955]) ).
cnf(c_11667,plain,
coll(sK5,sK0,sK1),
inference(resolve,[status(thm)],[c_11330,c_954]) ).
cnf(c_12282,plain,
coll(sK0,sK1,sK5),
inference(resolve,[status(thm)],[c_11666,c_254]) ).
cnf(c_12315,plain,
coll(sK5,sK1,sK0),
inference(resolve,[status(thm)],[c_11667,c_254]) ).
cnf(c_12868,plain,
coll(sK5,sK5,sK0),
inference(resolve,[status(thm)],[c_12282,c_308]) ).
cnf(c_12912,plain,
coll(sK1,sK5,sK0),
inference(resolve,[status(thm)],[c_12315,c_253]) ).
cnf(c_13448,plain,
( midp(sK5,sK5,sK0)
| ~ cong(sK5,sK5,sK5,sK0) ),
inference(resolve,[status(thm)],[c_12868,c_193]) ).
cnf(c_13573,plain,
( midp(sK1,sK5,sK0)
| ~ cong(sK1,sK5,sK1,sK0) ),
inference(resolve,[status(thm)],[c_12912,c_193]) ).
cnf(c_18412,plain,
para(sK4,sK5,sK5,sK3),
inference(resolve,[status(thm)],[c_546,c_8302]) ).
cnf(c_18413,plain,
para(sK4,sK3,sK5,sK3),
inference(resolve,[status(thm)],[c_546,c_8297]) ).
cnf(c_18417,plain,
para(sK5,sK3,sK4,sK5),
inference(resolve,[status(thm)],[c_18412,c_250]) ).
cnf(c_18431,plain,
para(sK4,sK3,sK3,sK5),
inference(resolve,[status(thm)],[c_18413,c_251]) ).
cnf(c_18453,plain,
para(sK5,sK3,sK5,sK4),
inference(resolve,[status(thm)],[c_18417,c_251]) ).
cnf(c_18466,plain,
para(sK3,sK5,sK4,sK3),
inference(resolve,[status(thm)],[c_18431,c_250]) ).
cnf(c_18501,plain,
para(sK5,sK4,sK5,sK3),
inference(resolve,[status(thm)],[c_18453,c_250]) ).
cnf(c_36423,plain,
( midp(A,sK4,sK3)
| ~ para(sK5,sK4,sK5,sK3)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_18453,c_196]) ).
cnf(c_18508,plain,
( midp(A,sK4,sK3)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_18501,c_36423]) ).
cnf(c_18514,plain,
para(sK3,sK5,sK3,sK4),
inference(resolve,[status(thm)],[c_18466,c_251]) ).
cnf(c_18563,plain,
para(sK3,sK4,sK3,sK5),
inference(resolve,[status(thm)],[c_18514,c_250]) ).
cnf(c_36424,plain,
( midp(A,sK4,sK5)
| ~ para(sK3,sK4,sK3,sK5)
| ~ midp(A,sK3,sK3) ),
inference(resolve,[status(thm)],[c_18514,c_196]) ).
cnf(c_18570,plain,
( midp(A,sK4,sK5)
| ~ midp(A,sK3,sK3) ),
inference(resolve,[status(thm)],[c_18563,c_36424]) ).
cnf(c_18608,plain,
midp(sK3,sK4,sK3),
inference(resolve,[status(thm)],[c_18508,c_7695]) ).
cnf(c_18630,plain,
cong(sK3,sK4,sK3,sK3),
inference(resolve,[status(thm)],[c_18608,c_192]) ).
cnf(c_18643,plain,
perp(sK4,sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_18630,c_4162]) ).
cnf(c_36425,plain,
( cong(sK4,sK3,sK4,sK3)
| ~ midp(sK3,sK3,sK3) ),
inference(resolve,[status(thm)],[c_18643,c_205]) ).
cnf(c_18768,plain,
cong(sK4,sK3,sK4,sK3),
inference(resolve,[status(thm)],[c_8297,c_36425]) ).
cnf(c_18790,plain,
midp(sK4,sK3,sK3),
inference(resolve,[status(thm)],[c_18768,c_5564]) ).
cnf(c_20677,plain,
midp(sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_18570,c_18790]) ).
cnf(c_20695,plain,
midp(sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_20677,c_244]) ).
cnf(c_20704,plain,
cong(sK4,sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_20677,c_192]) ).
cnf(c_20773,plain,
cong(sK4,sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_20695,c_192]) ).
cnf(c_20821,plain,
cyclic(sK4,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_20704,c_317]) ).
cnf(c_20941,plain,
cyclic(sK5,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_20773,c_317]) ).
cnf(c_21049,plain,
cyclic(sK5,sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_20821,c_240]) ).
cnf(c_21090,plain,
cyclic(sK4,sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_20941,c_240]) ).
cnf(c_21147,plain,
cyclic(sK5,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_21049,c_241]) ).
cnf(c_21197,plain,
cyclic(sK4,sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_21090,c_241]) ).
cnf(c_21241,plain,
cyclic(sK5,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_21147,c_242]) ).
cnf(c_21242,plain,
( cyclic(sK5,sK4,A,sK5)
| ~ cyclic(sK5,sK5,sK4,A) ),
inference(resolve,[status(thm)],[c_21147,c_239]) ).
cnf(c_21266,plain,
cyclic(sK4,sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_21197,c_242]) ).
cnf(c_21280,plain,
cyclic(sK5,sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_21241,c_303]) ).
cnf(c_21282,plain,
( cyclic(sK5,sK5,sK4,A)
| ~ cyclic(sK5,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_21241,c_239]) ).
cnf(c_21297,plain,
cyclic(sK4,sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_21266,c_303]) ).
cnf(c_21314,plain,
cyclic(sK5,sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_21280,c_241]) ).
cnf(c_21316,plain,
( cyclic(sK5,sK4,sK4,A)
| ~ cyclic(sK5,sK5,sK4,A) ),
inference(resolve,[status(thm)],[c_21280,c_239]) ).
cnf(c_21329,plain,
( cyclic(sK4,sK5,A,sK5)
| ~ cyclic(sK4,sK4,sK5,A) ),
inference(resolve,[status(thm)],[c_21297,c_239]) ).
cnf(c_21341,plain,
cyclic(sK5,sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_21314,c_242]) ).
cnf(c_21352,plain,
( cyclic(sK4,sK4,sK5,A)
| ~ cyclic(sK5,sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_21341,c_239]) ).
cnf(c_24225,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_9017,c_301]) ).
cnf(c_24227,plain,
eqangle(A,B,sK5,sK5,A,B,sK5,sK5),
inference(resolve,[status(thm)],[c_9017,c_237]) ).
cnf(c_24234,plain,
cyclic(A,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_24227,c_4051]) ).
cnf(c_24239,plain,
( cong(A,sK5,sK5,sK5)
| ~ eqangle(sK5,A,sK5,sK5,sK5,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_24234,c_316]) ).
cnf(c_24240,plain,
( perp(sK5,A,A,sK5)
| ~ cong(A,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_24234,c_297]) ).
cnf(c_24241,plain,
cyclic(sK5,A,sK5,sK5),
inference(resolve,[status(thm)],[c_24234,c_240]) ).
cnf(c_24244,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_24241,c_24225]) ).
cnf(c_24256,plain,
cyclic(sK5,sK5,A,sK5),
inference(resolve,[status(thm)],[c_24241,c_241]) ).
cnf(c_24268,plain,
cyclic(sK5,sK5,sK5,A),
inference(resolve,[status(thm)],[c_24256,c_242]) ).
cnf(c_24272,plain,
cyclic(sK5,sK5,sK4,A),
inference(resolve,[status(thm)],[c_24268,c_21282]) ).
cnf(c_24277,plain,
cyclic(sK5,sK5,sK3,A),
inference(resolve,[status(thm)],[c_24268,c_10108]) ).
cnf(c_24282,plain,
cyclic(sK5,sK4,sK4,A),
inference(resolve,[status(thm)],[c_24272,c_21316]) ).
cnf(c_24284,plain,
cyclic(sK5,sK4,A,sK5),
inference(resolve,[status(thm)],[c_24272,c_21242]) ).
cnf(c_24294,plain,
( perp(sK3,sK5,sK5,A)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_24277,c_9619]) ).
cnf(c_24300,plain,
cyclic(sK4,sK4,sK5,A),
inference(resolve,[status(thm)],[c_24282,c_21352]) ).
cnf(c_24325,plain,
cyclic(sK4,sK5,A,sK5),
inference(resolve,[status(thm)],[c_24300,c_21329]) ).
cnf(c_36426,plain,
( cyclic(sK5,sK5,A,B)
| ~ cyclic(sK5,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_24268,c_239]) ).
cnf(c_24454,plain,
cyclic(sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_24268,c_36426]) ).
cnf(c_36427,plain,
( cyclic(sK5,sK4,A,B)
| ~ cyclic(sK5,sK5,sK4,A) ),
inference(resolve,[status(thm)],[c_24272,c_239]) ).
cnf(c_24467,plain,
cyclic(sK5,sK4,A,B),
inference(resolve,[status(thm)],[c_24454,c_36427]) ).
cnf(c_36428,plain,
( cyclic(sK4,A,sK5,B)
| ~ cyclic(sK5,sK4,A,B) ),
inference(resolve,[status(thm)],[c_24284,c_239]) ).
cnf(c_24592,plain,
cyclic(sK4,A,sK5,B),
inference(resolve,[status(thm)],[c_24467,c_36428]) ).
cnf(c_36429,plain,
( cyclic(sK4,sK5,A,B)
| ~ cyclic(sK4,sK4,sK5,A) ),
inference(resolve,[status(thm)],[c_24300,c_239]) ).
cnf(c_24645,plain,
cyclic(sK4,sK5,A,B),
inference(resolve,[status(thm)],[c_24592,c_36429]) ).
cnf(c_36430,plain,
( cyclic(sK5,A,sK5,B)
| ~ cyclic(sK4,sK5,A,B) ),
inference(resolve,[status(thm)],[c_24325,c_239]) ).
cnf(c_24732,plain,
cyclic(sK5,A,sK5,B),
inference(resolve,[status(thm)],[c_24645,c_36430]) ).
cnf(c_24738,plain,
cong(sK5,A,sK5,A),
inference(resolve,[status(thm)],[c_24732,c_24244]) ).
cnf(c_24740,plain,
perp(sK3,sK5,sK5,A),
inference(resolve,[status(thm)],[c_24738,c_24294]) ).
cnf(c_24789,plain,
eqangle(sK5,A,sK5,sK5,sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_24740,c_8882]) ).
cnf(c_24814,plain,
cong(A,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_24789,c_24239]) ).
cnf(c_24839,plain,
perp(sK5,A,A,sK5),
inference(resolve,[status(thm)],[c_24814,c_24240]) ).
cnf(c_24842,plain,
cong(sK5,sK5,A,sK5),
inference(resolve,[status(thm)],[c_24839,c_7721]) ).
cnf(c_36431,plain,
( perp(A,sK5,sK5,B)
| ~ cong(sK5,B,sK5,B)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_24454,c_203]) ).
cnf(c_36432,plain,
( perp(B,sK5,sK5,A)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_24738,c_36431]) ).
cnf(c_26609,plain,
perp(A,sK5,sK5,B),
inference(resolve,[status(thm)],[c_24738,c_36432]) ).
cnf(c_36433,plain,
( perp(sK5,sK5,A,B)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_24738,c_204]) ).
cnf(c_26936,plain,
perp(sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_24738,c_36433]) ).
cnf(c_27602,plain,
cong(sK5,sK5,sK5,A),
inference(resolve,[status(thm)],[c_24842,c_233]) ).
cnf(c_27626,plain,
midp(sK5,sK5,sK0),
inference(resolve,[status(thm)],[c_27602,c_13448]) ).
cnf(c_36434,plain,
( cong(A,sK5,A,sK0)
| ~ perp(A,sK5,sK5,sK0) ),
inference(resolve,[status(thm)],[c_27626,c_205]) ).
cnf(c_27672,plain,
cong(A,sK5,A,sK0),
inference(resolve,[status(thm)],[c_26609,c_36434]) ).
cnf(c_27683,plain,
midp(sK1,sK5,sK0),
inference(resolve,[status(thm)],[c_27672,c_13573]) ).
cnf(c_28038,plain,
midp(sK1,sK0,sK5),
inference(resolve,[status(thm)],[c_27683,c_244]) ).
cnf(c_28716,plain,
( cong(sK0,sK1,A,sK1)
| ~ perp(sK0,A,A,sK5) ),
inference(resolve,[status(thm)],[c_28038,c_207]) ).
cnf(c_31633,plain,
perp(A,B,sK5,sK5),
inference(resolve,[status(thm)],[c_26936,c_247]) ).
cnf(c_36435,plain,
( para(A,B,C,D)
| ~ perp(A,B,sK5,sK5) ),
inference(resolve,[status(thm)],[c_26936,c_246]) ).
cnf(c_31634,plain,
para(A,B,C,D),
inference(resolve,[status(thm)],[c_31633,c_36435]) ).
cnf(c_36436,plain,
( perp(A,B,C,D)
| ~ para(A,B,sK5,sK5) ),
inference(resolve,[status(thm)],[c_26936,c_245]) ).
cnf(c_31635,plain,
perp(A,B,C,D),
inference(resolve,[status(thm)],[c_31634,c_36436]) ).
cnf(c_32662,plain,
cong(sK0,sK1,A,sK1),
inference(resolve,[status(thm)],[c_31635,c_28716]) ).
cnf(c_36419,plain,
cong(sK0,sK1,sK1,A),
inference(resolve,[status(thm)],[c_32662,c_233]) ).
cnf(c_36420,plain,
$false,
inference(resolve,[status(thm)],[c_36419,c_147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO644+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 13:48:39 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.14/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.38 % Process 2666498 was started by sandbox on n026,
% 0.14/0.38 % Fri Sep 25 13:48:39 2026
% 0.14/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.41
% 0.14/0.41 % From the command line: assign(max_seconds, 300).
% 91.49/13.03
% 91.49/13.03 % given #500 (W,wt=13): 645 -coll(c5,c3,A) | coll(A,c4,c5). [resolve(502,a,252,b)].
% 91.49/13.03
% 91.49/13.03 % given #1000 (T,wt=13): 3309 -coll(c8,c8,A) | coll(A,c1,c8). [resolve(1698,a,252,b)].
% 91.49/13.03
% 91.49/13.03 % given #1500 (T,wt=13): 15475 -coll(c1,c5,A) | coll(A,c8,c1). [resolve(15393,a,252,b)].
% 91.49/13.03
% 91.49/13.03 % given #2000 (W,wt=10): 19603 perp(c4,c4,c5,c5). [resolve(19278,a,247,a)].
% 91.49/13.03
% 91.49/13.03 % given #2500 (T,wt=14): 2892 -cong(c3,c1,c3,c3) | midp(c3,c1,c3). [resolve(1482,a,193,b)].
% 91.49/13.03
% 91.49/13.03 % given #3000 (T,wt=10): 25069 para(c4,c2,c4,c3). [resolve(24803,a,7719,a)].
% 91.49/13.03
% 91.49/13.03 % given #3500 (W,wt=10): 26950 perp(c4,c3,A,B). [back_unit_del(19240),unit_del(a,26936)].
% 91.49/13.03
% 91.49/13.03 % given #4000 (T,wt=10): 31584 cyclic(A,B,C,A). [resolve(26595,a,239,b),unit_del(a,26605)].
% 91.49/13.03
% 91.49/13.03 % SZS status Theorem for theBenchmark
% 91.49/13.03
% 91.49/13.03 % Proof 1 at 3.53 (+ 1.00) seconds.
% 91.49/13.03 % Length of proof is 233.
% 91.49/13.03 % Level of proof is 48.
% 91.49/13.03 % Maximum clause weight is 34.000.
% 91.49/13.03 % Given clauses 4045.
% 91.49/13.03
% 91.49/13.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------