%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO580+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 : n005.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 07:18:09 AM UTC 2026
% Result : Theorem 61.45s 8.25s
% Output : CNFRefutation 61.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 37
% Syntax : Number of formulae : 235 ( 107 unt; 0 def)
% Number of atoms : 477 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 387 ( 145 ~; 141 |; 63 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-7 aty)
% Number of variables : 465 ( 22 sgn 190 !; 10 ?)
% 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(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(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(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(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(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(ruleD51,axiom,
! [A,B,C,O,M] :
( ( eqangle(A,B,A,C,O,B,O,M)
& coll(M,B,C)
& circle(O,A,B,C) )
=> midp(M,B,C) ),
file('theBenchmark.p',ruleD51) ).
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(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(exemplo6GDDFULL416042,conjecture,
! [A,B,C,D,E,F,G,H] :
( ( midp(H,C,B)
& coll(G,A,D)
& perp(G,C,A,D)
& coll(F,A,D)
& perp(F,B,A,D)
& coll(E,B,C)
& perp(E,A,B,C)
& eqangle(D,C,C,A,D,C,C,B)
& eqangle(D,B,B,C,D,B,B,A)
& eqangle(D,A,A,B,D,A,A,C) )
=> cyclic(E,F,G,H) ),
file('theBenchmark.p',exemplo6GDDFULL416042) ).
fof(exemplo6GDDFULL416042_neg,negated_conjecture,
~ ! [A,B,C,D,E,F,G,H] :
( ( midp(H,C,B)
& coll(G,A,D)
& perp(G,C,A,D)
& coll(F,A,D)
& perp(F,B,A,D)
& coll(E,B,C)
& perp(E,A,B,C)
& eqangle(D,C,C,A,D,C,C,B)
& eqangle(D,B,B,C,D,B,B,A)
& eqangle(D,A,A,B,D,A,A,C) )
=> cyclic(E,F,G,H) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416042]) ).
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_100,plain,
( midp(E,C,D)
| ~ eqangle(B,C,B,D,A,C,A,E)
| ~ coll(E,C,D)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD51]) ).
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_143,plain,
( ~ cong(E,D,E,C)
| ~ cong(E,D,E,B)
| midp(A,B,C)
| ~ eqangle(D,B,D,C,E,B,E,A)
| ~ coll(A,B,C) ),
inference(resolve,[status(thm)],[c_100,c_97]) ).
fof(nnf_95,plain,
? [A,B,C,D,E,F,G,H] :
( ~ cyclic(E,F,G,H)
& midp(H,C,B)
& coll(G,A,D)
& perp(G,C,A,D)
& coll(F,A,D)
& perp(F,B,A,D)
& coll(E,B,C)
& perp(E,A,B,C)
& eqangle(D,C,C,A,D,C,C,B)
& eqangle(D,B,B,C,D,B,B,A)
& eqangle(D,A,A,B,D,A,A,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL416042_neg]) ).
fof(sk_exemplo6GDDFULL416042_neg,plain,
( ~ cyclic(sK0,sK1,sK2,sK3)
& midp(sK3,sK4,sK5)
& coll(sK2,sK6,sK7)
& perp(sK2,sK4,sK6,sK7)
& coll(sK1,sK6,sK7)
& perp(sK1,sK5,sK6,sK7)
& coll(sK0,sK5,sK4)
& perp(sK0,sK6,sK5,sK4)
& eqangle(sK7,sK4,sK4,sK6,sK7,sK4,sK4,sK5)
& eqangle(sK7,sK5,sK5,sK4,sK7,sK5,sK5,sK6)
& eqangle(sK7,sK6,sK6,sK5,sK7,sK6,sK6,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK6,sK5,sK4,sK0,sK1,sK2,sK3]),skolemize(A,sK6),skolemize(B,sK5),skolemize(C,sK4),skolemize(D,sK7),skolemize(E,sK0),skolemize(F,sK1),skolemize(G,sK2),skolemize(H,sK3)],[nnf_95]) ).
cnf(c_147,negated_conjecture,
~ cyclic(sK0,sK1,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416042_neg]) ).
cnf(c_148,negated_conjecture,
midp(sK3,sK4,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416042_neg]) ).
cnf(c_153,negated_conjecture,
coll(sK0,sK5,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416042_neg]) ).
cnf(c_154,negated_conjecture,
perp(sK0,sK6,sK5,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416042_neg]) ).
cnf(c_155,negated_conjecture,
eqangle(sK7,sK4,sK4,sK6,sK7,sK4,sK4,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416042_neg]) ).
cnf(c_156,negated_conjecture,
eqangle(sK7,sK5,sK5,sK4,sK7,sK5,sK5,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416042_neg]) ).
cnf(c_157,negated_conjecture,
eqangle(sK7,sK6,sK6,sK5,sK7,sK6,sK6,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416042_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_174,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_193,plain,
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD69]) ).
cnf(c_194,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_195,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_196,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_198,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_199,plain,
( para(B,D,C,E)
| ~ midp(A,D,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD63]) ).
cnf(c_207,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_209,plain,
( cong(A,D,B,D)
| ~ midp(D,A,C)
| ~ perp(A,B,B,C) ),
inference(clausify,[status(thm)],[ruleD52]) ).
cnf(c_212,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_214,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_215,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_217,plain,
( eqangle(C,A,C,B,D,A,D,B)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD41]) ).
cnf(c_218,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_219,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_233,plain,
( cong(A,B,E,F)
| ~ cong(C,D,E,F)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD25]) ).
cnf(c_234,plain,
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD24]) ).
cnf(c_235,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_239,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_241,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_242,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_243,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_244,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_245,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_246,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_248,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_249,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_250,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_252,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_253,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_254,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_255,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_256,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_271,plain,
( ~ cong(A,B,A,C)
| perp(B,C,C,C)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_142]) ).
cnf(c_272,plain,
( ~ cong(D,C,D,B)
| midp(A,B,B)
| ~ eqangle(C,B,C,B,D,B,D,A)
| ~ coll(A,B,B) ),
inference(factor,[status(thm)],[c_143]) ).
cnf(c_289,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_174]) ).
cnf(c_296,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_198]) ).
cnf(c_302,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_214]) ).
cnf(c_305,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_241]) ).
cnf(c_306,plain,
( cyclic(B,C,C,D)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_245]) ).
cnf(c_310,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_254]) ).
cnf(c_318,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_302]) ).
cnf(c_319,plain,
( cyclic(B,C,C,C)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_306]) ).
cnf(c_367,plain,
coll(sK3,sK4,sK5),
inference(resolve,[status(thm)],[c_193,c_148]) ).
cnf(c_368,plain,
cong(sK3,sK4,sK3,sK5),
inference(resolve,[status(thm)],[c_194,c_148]) ).
cnf(c_370,plain,
( para(A,sK4,B,sK5)
| ~ midp(sK3,A,B) ),
inference(resolve,[status(thm)],[c_199,c_148]) ).
cnf(c_391,plain,
eqangle(sK6,sK5,sK7,sK6,sK6,sK4,sK7,sK6),
inference(resolve,[status(thm)],[c_239,c_157]) ).
cnf(c_392,plain,
eqangle(sK5,sK4,sK7,sK5,sK5,sK6,sK7,sK5),
inference(resolve,[status(thm)],[c_239,c_156]) ).
cnf(c_393,plain,
eqangle(sK4,sK6,sK7,sK4,sK4,sK5,sK7,sK4),
inference(resolve,[status(thm)],[c_239,c_155]) ).
cnf(c_397,plain,
midp(sK3,sK5,sK4),
inference(resolve,[status(thm)],[c_246,c_148]) ).
cnf(c_398,plain,
( para(sK0,sK6,A,B)
| ~ perp(sK5,sK4,A,B) ),
inference(resolve,[status(thm)],[c_248,c_154]) ).
cnf(c_404,plain,
perp(sK5,sK4,sK0,sK6),
inference(resolve,[status(thm)],[c_249,c_154]) ).
cnf(c_407,plain,
perp(sK0,sK6,sK4,sK5),
inference(resolve,[status(thm)],[c_250,c_154]) ).
cnf(c_416,plain,
coll(sK5,sK0,sK4),
inference(resolve,[status(thm)],[c_255,c_153]) ).
cnf(c_419,plain,
coll(sK0,sK4,sK5),
inference(resolve,[status(thm)],[c_256,c_153]) ).
cnf(c_429,plain,
coll(sK4,sK4,sK0),
inference(resolve,[status(thm)],[c_310,c_153]) ).
cnf(c_432,plain,
coll(sK5,sK5,sK3),
inference(resolve,[status(thm)],[c_367,c_310]) ).
cnf(c_434,plain,
coll(sK4,sK3,sK5),
inference(resolve,[status(thm)],[c_367,c_255]) ).
cnf(c_444,plain,
( midp(sK8(sK5,sK4,sK5,sK4,sK3,sK3,A),sK5,A)
| ~ coll(sK4,sK5,sK4)
| ~ coll(sK5,sK5,sK4) ),
inference(resolve,[status(thm)],[c_397,c_289]) ).
cnf(c_449,plain,
cong(sK3,sK5,sK3,sK4),
inference(resolve,[status(thm)],[c_397,c_194]) ).
cnf(c_460,plain,
coll(sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_416,c_310]) ).
cnf(c_472,plain,
coll(sK5,sK5,sK0),
inference(resolve,[status(thm)],[c_419,c_310]) ).
cnf(c_486,plain,
( coll(A,sK0,sK4)
| ~ coll(sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_429,c_254]) ).
cnf(c_497,plain,
coll(sK5,sK3,sK5),
inference(resolve,[status(thm)],[c_432,c_256]) ).
cnf(c_499,plain,
( coll(sK3,A,sK5)
| ~ coll(sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_432,c_254]) ).
cnf(c_504,plain,
coll(sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_434,c_310]) ).
cnf(c_508,plain,
( midp(sK8(sK5,sK4,sK5,sK4,sK3,sK3,A),sK5,A)
| ~ coll(sK4,sK5,sK4) ),
inference(resolve,[status(thm)],[c_504,c_444]) ).
cnf(c_509,plain,
coll(sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_460,c_256]) ).
cnf(c_512,plain,
midp(sK8(sK5,sK4,sK5,sK4,sK3,sK3,A),sK5,A),
inference(resolve,[status(thm)],[c_509,c_508]) ).
cnf(c_529,plain,
coll(sK5,sK0,sK5),
inference(resolve,[status(thm)],[c_472,c_256]) ).
cnf(c_567,plain,
coll(sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_497,c_310]) ).
cnf(c_568,plain,
coll(sK3,sK5,sK5),
inference(resolve,[status(thm)],[c_497,c_255]) ).
cnf(c_608,plain,
coll(sK0,sK5,sK5),
inference(resolve,[status(thm)],[c_529,c_255]) ).
cnf(c_718,plain,
cyclic(sK4,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_368,c_319]) ).
cnf(c_41294,plain,
( perp(sK4,sK5,sK5,sK5)
| ~ coll(sK3,sK4,sK5) ),
inference(resolve,[status(thm)],[c_368,c_271]) ).
cnf(c_734,plain,
perp(sK4,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_367,c_41294]) ).
cnf(c_776,plain,
( cong(A,B,sK3,sK5)
| ~ cong(A,B,sK3,sK4) ),
inference(resolve,[status(thm)],[c_368,c_233]) ).
cnf(c_801,plain,
perp(sK5,sK4,sK6,sK0),
inference(resolve,[status(thm)],[c_404,c_250]) ).
cnf(c_846,plain,
( cong(sK0,sK4,sK0,sK5)
| ~ midp(sK6,sK4,sK5) ),
inference(resolve,[status(thm)],[c_407,c_207]) ).
cnf(c_886,plain,
para(sK5,sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_370,c_397]) ).
cnf(c_941,plain,
cyclic(sK5,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_449,c_319]) ).
cnf(c_1005,plain,
( ~ cong(sK3,sK5,sK3,A)
| perp(sK5,sK4,sK4,A)
| ~ coll(sK3,sK5,A) ),
inference(resolve,[status(thm)],[c_449,c_142]) ).
cnf(c_1024,plain,
cyclic(sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_718,c_305]) ).
cnf(c_1045,plain,
perp(sK5,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_734,c_249]) ).
cnf(c_1174,plain,
para(sK5,sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_886,c_253]) ).
cnf(c_1178,plain,
( midp(sK4,A,sK5)
| ~ coll(sK4,A,sK5)
| ~ midp(sK5,A,sK4) ),
inference(resolve,[status(thm)],[c_886,c_212]) ).
cnf(c_1214,plain,
cyclic(sK4,sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_941,c_242]) ).
cnf(c_1259,plain,
eqangle(sK5,sK5,sK5,sK5,sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_1024,c_217]) ).
cnf(c_1296,plain,
perp(sK5,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_1045,c_250]) ).
cnf(c_1421,plain,
( midp(A,sK4,sK4)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_1174,c_296]) ).
cnf(c_1424,plain,
eqangle(sK5,sK4,A,B,sK5,sK4,A,B),
inference(resolve,[status(thm)],[c_1174,c_218]) ).
cnf(c_1451,plain,
cyclic(sK4,sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_1214,c_243]) ).
cnf(c_1538,plain,
( cong(sK5,A,sK5,A)
| ~ midp(A,sK5,sK4) ),
inference(resolve,[status(thm)],[c_1296,c_209]) ).
cnf(c_1594,plain,
para(sK6,sK5,sK6,sK4),
inference(resolve,[status(thm)],[c_391,c_219]) ).
cnf(c_1601,plain,
para(sK5,sK4,sK5,sK6),
inference(resolve,[status(thm)],[c_392,c_219]) ).
cnf(c_1618,plain,
cyclic(sK4,sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_1451,c_244]) ).
cnf(c_1696,plain,
para(sK4,sK6,sK4,sK5),
inference(resolve,[status(thm)],[c_393,c_219]) ).
cnf(c_1738,plain,
coll(sK6,sK5,sK4),
inference(resolve,[status(thm)],[c_1594,c_196]) ).
cnf(c_1745,plain,
coll(sK4,sK4,sK6),
inference(resolve,[status(thm)],[c_1738,c_310]) ).
cnf(c_1746,plain,
coll(sK6,sK4,sK5),
inference(resolve,[status(thm)],[c_1738,c_256]) ).
cnf(c_1754,plain,
coll(sK5,sK5,sK6),
inference(resolve,[status(thm)],[c_1746,c_310]) ).
cnf(c_1772,plain,
para(sK0,sK6,sK6,sK0),
inference(resolve,[status(thm)],[c_398,c_801]) ).
cnf(c_1836,plain,
para(sK5,sK6,sK5,sK4),
inference(resolve,[status(thm)],[c_1601,c_252]) ).
cnf(c_41295,plain,
( midp(A,sK4,sK6)
| ~ para(sK5,sK6,sK5,sK4)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_1601,c_198]) ).
cnf(c_1843,plain,
( midp(A,sK4,sK6)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_1836,c_41295]) ).
cnf(c_1884,plain,
cyclic(sK4,sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_1618,c_305]) ).
cnf(c_1887,plain,
( cyclic(sK4,sK4,sK5,A)
| ~ cyclic(sK4,sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_1618,c_241]) ).
cnf(c_1986,plain,
para(sK4,sK5,sK4,sK6),
inference(resolve,[status(thm)],[c_1696,c_252]) ).
cnf(c_41296,plain,
( midp(A,sK5,sK6)
| ~ para(sK4,sK5,sK4,sK6)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_1696,c_198]) ).
cnf(c_1992,plain,
( midp(A,sK5,sK6)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_1986,c_41296]) ).
cnf(c_2212,plain,
( midp(sK6,A,sK0)
| ~ coll(sK6,A,sK0)
| ~ midp(sK0,A,sK6) ),
inference(resolve,[status(thm)],[c_1772,c_212]) ).
cnf(c_2554,plain,
( cyclic(sK4,sK5,sK5,A)
| ~ cyclic(sK4,sK4,sK5,A) ),
inference(resolve,[status(thm)],[c_1884,c_241]) ).
cnf(c_2926,plain,
coll(sK6,sK0,sK4),
inference(resolve,[status(thm)],[c_486,c_1745]) ).
cnf(c_2936,plain,
coll(sK6,sK4,sK0),
inference(resolve,[status(thm)],[c_2926,c_256]) ).
cnf(c_3011,plain,
coll(sK3,sK6,sK5),
inference(resolve,[status(thm)],[c_499,c_1754]) ).
cnf(c_3094,plain,
midp(sK8(sK5,sK4,sK5,sK4,sK3,sK3,A),A,sK5),
inference(resolve,[status(thm)],[c_512,c_246]) ).
cnf(c_3097,plain,
( para(B,sK5,C,A)
| ~ midp(sK8(sK5,sK4,sK5,sK4,sK3,sK3,A),B,C) ),
inference(resolve,[status(thm)],[c_512,c_199]) ).
cnf(c_3191,plain,
coll(sK3,sK5,sK6),
inference(resolve,[status(thm)],[c_3011,c_256]) ).
cnf(c_4843,plain,
cong(sK3,sK5,sK3,sK5),
inference(resolve,[status(thm)],[c_776,c_449]) ).
cnf(c_41297,plain,
( midp(sK3,sK5,sK5)
| ~ coll(sK3,sK5,sK5) ),
inference(resolve,[status(thm)],[c_4843,c_195]) ).
cnf(c_4928,plain,
midp(sK3,sK5,sK5),
inference(resolve,[status(thm)],[c_568,c_41297]) ).
cnf(c_4967,plain,
midp(sK3,sK4,sK4),
inference(resolve,[status(thm)],[c_4928,c_1421]) ).
cnf(c_5144,plain,
midp(sK3,sK5,sK6),
inference(resolve,[status(thm)],[c_4967,c_1992]) ).
cnf(c_5302,plain,
cong(sK3,sK5,sK3,sK6),
inference(resolve,[status(thm)],[c_5144,c_194]) ).
cnf(c_41298,plain,
( perp(sK5,sK4,sK4,sK6)
| ~ coll(sK3,sK5,sK6) ),
inference(resolve,[status(thm)],[c_1005,c_5302]) ).
cnf(c_11190,plain,
perp(sK5,sK4,sK4,sK6),
inference(resolve,[status(thm)],[c_3191,c_41298]) ).
cnf(c_11226,plain,
perp(sK5,sK4,sK6,sK4),
inference(resolve,[status(thm)],[c_11190,c_250]) ).
cnf(c_11267,plain,
perp(sK6,sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_11226,c_249]) ).
cnf(c_11331,plain,
perp(sK6,sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_11267,c_250]) ).
cnf(c_11431,plain,
( cong(sK6,sK4,sK6,sK5)
| ~ midp(sK4,sK4,sK5) ),
inference(resolve,[status(thm)],[c_11331,c_207]) ).
cnf(c_41299,plain,
( cong(sK5,sK5,sK5,sK5)
| ~ cyclic(sK5,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_1259,c_318]) ).
cnf(c_12788,plain,
cong(sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_1024,c_41299]) ).
cnf(c_41300,plain,
( ~ cong(sK5,sK5,sK5,sK5)
| midp(sK5,sK5,sK5)
| ~ coll(sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_1259,c_272]) ).
cnf(c_41301,plain,
( ~ cong(sK5,sK5,sK5,sK5)
| midp(sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_567,c_41300]) ).
cnf(c_12790,plain,
midp(sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_12788,c_41301]) ).
cnf(c_12855,plain,
midp(sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_12790,c_1421]) ).
cnf(c_41302,plain,
( midp(sK4,sK4,sK5)
| ~ coll(sK4,sK4,sK5) ),
inference(resolve,[status(thm)],[c_12855,c_1178]) ).
cnf(c_13119,plain,
midp(sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_460,c_41302]) ).
cnf(c_13188,plain,
cong(sK6,sK4,sK6,sK5),
inference(resolve,[status(thm)],[c_13119,c_11431]) ).
cnf(c_41303,plain,
( midp(sK6,sK4,sK5)
| ~ coll(sK6,sK4,sK5) ),
inference(resolve,[status(thm)],[c_13188,c_195]) ).
cnf(c_15510,plain,
midp(sK6,sK4,sK5),
inference(resolve,[status(thm)],[c_1746,c_41303]) ).
cnf(c_15537,plain,
cong(sK0,sK4,sK0,sK5),
inference(resolve,[status(thm)],[c_15510,c_846]) ).
cnf(c_41304,plain,
( midp(sK0,sK4,sK5)
| ~ coll(sK0,sK4,sK5) ),
inference(resolve,[status(thm)],[c_15537,c_195]) ).
cnf(c_16637,plain,
midp(sK0,sK4,sK5),
inference(resolve,[status(thm)],[c_419,c_41304]) ).
cnf(c_16676,plain,
midp(sK0,sK5,sK4),
inference(resolve,[status(thm)],[c_16637,c_246]) ).
cnf(c_18193,plain,
( cyclic(sK4,A,sK5,sK5)
| ~ coll(sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_1424,c_215]) ).
cnf(c_19723,plain,
cong(sK5,sK0,sK5,sK0),
inference(resolve,[status(thm)],[c_1538,c_16676]) ).
cnf(c_20011,plain,
cong(sK5,sK0,sK0,sK5),
inference(resolve,[status(thm)],[c_19723,c_235]) ).
cnf(c_20119,plain,
cong(sK0,sK5,sK5,sK0),
inference(resolve,[status(thm)],[c_20011,c_234]) ).
cnf(c_20314,plain,
cong(sK0,sK5,sK0,sK5),
inference(resolve,[status(thm)],[c_20119,c_235]) ).
cnf(c_41305,plain,
( midp(sK0,sK5,sK5)
| ~ coll(sK0,sK5,sK5) ),
inference(resolve,[status(thm)],[c_20314,c_195]) ).
cnf(c_20686,plain,
midp(sK0,sK5,sK5),
inference(resolve,[status(thm)],[c_608,c_41305]) ).
cnf(c_20689,plain,
midp(sK0,sK4,sK6),
inference(resolve,[status(thm)],[c_20686,c_1843]) ).
cnf(c_41306,plain,
( midp(sK6,sK4,sK0)
| ~ coll(sK6,sK4,sK0) ),
inference(resolve,[status(thm)],[c_2212,c_20689]) ).
cnf(c_26119,plain,
midp(sK6,sK4,sK0),
inference(resolve,[status(thm)],[c_2936,c_41306]) ).
cnf(c_26182,plain,
midp(sK6,sK0,sK4),
inference(resolve,[status(thm)],[c_26119,c_246]) ).
cnf(c_26235,plain,
cong(sK6,sK0,sK6,sK4),
inference(resolve,[status(thm)],[c_26182,c_194]) ).
cnf(c_26930,plain,
cyclic(sK0,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_26235,c_319]) ).
cnf(c_27571,plain,
cyclic(sK4,sK0,sK4,sK4),
inference(resolve,[status(thm)],[c_26930,c_242]) ).
cnf(c_28034,plain,
cyclic(sK4,sK4,sK0,sK4),
inference(resolve,[status(thm)],[c_27571,c_243]) ).
cnf(c_28372,plain,
cyclic(sK4,sK4,sK4,sK0),
inference(resolve,[status(thm)],[c_28034,c_244]) ).
cnf(c_28797,plain,
cyclic(sK4,sK4,sK5,sK0),
inference(resolve,[status(thm)],[c_28372,c_1887]) ).
cnf(c_29259,plain,
cyclic(sK4,sK5,sK5,sK0),
inference(resolve,[status(thm)],[c_28797,c_2554]) ).
cnf(c_29704,plain,
( cyclic(sK5,sK5,sK0,A)
| ~ cyclic(sK4,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_29259,c_241]) ).
cnf(c_32213,plain,
para(A,sK5,sK5,A),
inference(resolve,[status(thm)],[c_3097,c_3094]) ).
cnf(c_33139,plain,
para(A,sK5,A,sK5),
inference(resolve,[status(thm)],[c_32213,c_253]) ).
cnf(c_33707,plain,
coll(A,sK5,sK5),
inference(resolve,[status(thm)],[c_33139,c_196]) ).
cnf(c_33708,plain,
coll(sK5,sK5,A),
inference(resolve,[status(thm)],[c_33707,c_310]) ).
cnf(c_33712,plain,
cyclic(sK4,A,sK5,sK5),
inference(resolve,[status(thm)],[c_33708,c_18193]) ).
cnf(c_35515,plain,
cyclic(sK4,sK5,A,sK5),
inference(resolve,[status(thm)],[c_33712,c_243]) ).
cnf(c_37469,plain,
cyclic(sK4,sK5,sK5,A),
inference(resolve,[status(thm)],[c_35515,c_244]) ).
cnf(c_37472,plain,
cyclic(sK5,sK5,sK0,A),
inference(resolve,[status(thm)],[c_37469,c_29704]) ).
cnf(c_41307,plain,
( cyclic(sK5,sK5,A,B)
| ~ cyclic(sK4,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_37469,c_241]) ).
cnf(c_39812,plain,
cyclic(sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_37469,c_41307]) ).
cnf(c_41308,plain,
( cyclic(sK5,sK0,A,B)
| ~ cyclic(sK5,sK5,sK0,A) ),
inference(resolve,[status(thm)],[c_37472,c_241]) ).
cnf(c_39819,plain,
cyclic(sK5,sK0,A,B),
inference(resolve,[status(thm)],[c_39812,c_41308]) ).
cnf(c_41309,plain,
( cyclic(sK5,A,B,C)
| ~ cyclic(sK5,sK5,A,B) ),
inference(resolve,[status(thm)],[c_39812,c_241]) ).
cnf(c_41282,plain,
cyclic(sK5,A,B,C),
inference(resolve,[status(thm)],[c_39812,c_41309]) ).
cnf(c_41310,plain,
( cyclic(sK0,A,B,C)
| ~ cyclic(sK5,sK0,A,B) ),
inference(resolve,[status(thm)],[c_39819,c_241]) ).
cnf(c_41292,plain,
cyclic(sK0,A,B,C),
inference(resolve,[status(thm)],[c_41282,c_41310]) ).
cnf(c_41293,plain,
$false,
inference(resolve,[status(thm)],[c_41292,c_147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO580+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 13:42:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 3606628 was started by sandbox on n005,
% 0.11/0.38 % Fri Sep 25 13:42:46 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.41
% 0.11/0.41 % From the command line: assign(max_seconds, 300).
% 61.45/8.25
% 61.45/8.25 % given #500 (W,wt=9): 2280 coll(c5,c1,c5). [resolve(2275,a,256,a)].
% 61.45/8.25
% 61.45/8.25 % given #1000 (T,wt=9): 3904 coll(c4,c1,c5). [resolve(3497,a,255,a)].
% 61.45/8.25
% 61.45/8.25 % given #1500 (A,wt=24): 865 -perp(c4,c2,c6,c1) | perp(c4,f10(c4,c6,c1,c2),c1,c6). [resolve(408,a,167,b)].
% 61.45/8.25
% 61.45/8.25 % given #2000 (T,wt=13): 3289 -coll(c7,c4,A) | coll(A,c3,c7). [resolve(3130,a,254,b)].
% 61.45/8.25
% 61.45/8.25 % given #2500 (A,wt=23): 1238 -cong(c2,c3,c2,c3) | coll(c3,c3,f4(c3,c3,c2,c3)). [resolve(957,a,181,a)].
% 61.45/8.25
% 61.45/8.25 % given #3000 (T,wt=10): 19148 cong(c4,c2,c4,c3). [resolve(19037,a,194,a)].
% 61.45/8.25
% 61.45/8.25 % given #3500 (A,wt=34): 1845 -midp(A,c2,c2) | -para(c2,c3,B,A) | -coll(c3,c1,B) | coll(f8(c2,c2,C,c3,c1,B,A),c2,c1). [resolve(1601,a,173,c)].
% 61.45/8.25
% 61.45/8.25 % given #4000 (W,wt=10): 24579 perp(c8,c3,c1,c3). [resolve(24249,a,250,a)].
% 61.45/8.25
% 61.45/8.25 % given #4500 (T,wt=10): 26384 cyclic(c4,c4,c2,c3). [resolve(25809,a,243,a)].
% 61.45/8.25
% 61.45/8.25 % given #5000 (W,wt=9): 28969 midp(c5,c5,c3). [resolve(28494,a,195,a),unit_del(a,484)].
% 61.45/8.25
% 61.45/8.25 % given #5500 (T,wt=10): 30672 para(c5,c4,c4,c5). [resolve(30552,a,253,a)].
% 61.45/8.25
% 61.45/8.25 % given #6000 (A,wt=26): 3465 -midp(f7(c3,c2,c3,c2,c8,c8,A),B,C) | para(B,c3,C,A). [resolve(581,a,199,b)].
% 61.45/8.25
% 61.45/8.25 % given #6500 (T,wt=10): 33074 para(c2,c1,c8,c7). [resolve(31973,a,252,a)].
% 61.45/8.25
% 61.45/8.25 % given #7000 (A,wt=34): 4782 -cong(c8,A,c8,B) | cong(c3,A,c3,f9(f12(c3,c2,c2,c8),c3,A,B,c8)). [resolve(735,a,169,b)].
% 61.45/8.25
% 61.45/8.25 % given #7500 (T,wt=10): 35253 perp(c1,c5,c6,c3). [resolve(33304,a,4694,a)].
% 61.45/8.25
% 61.45/8.25 % given #8000 (A,wt=18): 5304 -midp(A,B,C) | eqratio(c8,c2,c2,c1,A,B,B,C). [resolve(5144,a,192,a)].
% 61.45/8.25
% 61.45/8.25 % given #8500 (W,wt=10): 38882 para(c6,c1,c1,c8). [resolve(36326,a,252,a)].
% 61.45/8.25
% 61.45/8.25 % SZS status Theorem for theBenchmark
% 61.45/8.25
% 61.45/8.25 % Proof 1 at 5.81 (+ 1.79) seconds.
% 61.45/8.25 % Length of proof is 213.
% 61.45/8.25 % Level of proof is 39.
% 61.45/8.25 % Maximum clause weight is 37.000.
% 61.45/8.25 % Given clauses 8667.
% 61.45/8.25
% 61.45/8.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------