%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO610+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 07:18:13 AM UTC 2026
% Result : Theorem 33.16s 5.24s
% Output : CNFRefutation 33.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 40
% Syntax : Number of formulae : 372 ( 167 unt; 0 def)
% Number of atoms : 763 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 672 ( 281 ~; 272 |; 78 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 936 ( 202 sgn 218 !; 12 ?)
% 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(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('theBenchmark.p',ruleD14) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('theBenchmark.p',ruleD15) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('theBenchmark.p',ruleD16) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,E)
& cyclic(A,B,C,D) )
=> cyclic(B,C,D,E) ),
file('theBenchmark.p',ruleD17) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ),
file('theBenchmark.p',ruleD19) ).
fof(ruleD21,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ),
file('theBenchmark.p',ruleD21) ).
fof(ruleD22,axiom,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ( eqangle(P,Q,U,V,E,F,G,H)
& eqangle(A,B,C,D,P,Q,U,V) )
=> eqangle(A,B,C,D,E,F,G,H) ),
file('theBenchmark.p',ruleD22) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('theBenchmark.p',ruleD23) ).
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(ruleD46,axiom,
! [A,B,O] :
( cong(O,A,O,B)
=> eqangle(O,A,A,B,A,B,O,B) ),
file('theBenchmark.p',ruleD46) ).
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(ruleD50,axiom,
! [A,B,C,O,M] :
( ( midp(M,B,C)
& circle(O,A,B,C) )
=> eqangle(A,B,A,C,O,B,O,M) ),
file('theBenchmark.p',ruleD50) ).
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(ruleD54,axiom,
! [A,B,C,D] :
( ( para(A,B,C,D)
& cyclic(A,B,C,D) )
=> eqangle(A,D,C,D,C,D,C,B) ),
file('theBenchmark.p',ruleD54) ).
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(ruleD65,axiom,
! [A,B,C,D,O] :
( ( coll(O,B,D)
& coll(O,A,C)
& para(A,B,C,D) )
=> eqratio(O,A,A,C,O,B,B,D) ),
file('theBenchmark.p',ruleD65) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('theBenchmark.p',ruleD66) ).
fof(ruleD75,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( cong(P,Q,U,V)
& eqratio(A,B,C,D,P,Q,U,V) )
=> cong(A,B,C,D) ),
file('theBenchmark.p',ruleD75) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ),
file('theBenchmark.p',ruleX11) ).
fof(ruleX14,axiom,
! [A,B,C,D] :
? [O] :
( ( cyclic(A,B,C,D)
& perp(A,C,C,B) )
=> circle(O,A,B,C) ),
file('theBenchmark.p',ruleX14) ).
fof(exemplo6GDDFULL618072,conjecture,
! [A,B,C,D,E,F,G,NWPNT1] :
( ( coll(G,A,B)
& perp(G,E,A,B)
& coll(F,A,C)
& perp(F,E,A,C)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) )
=> ( eqangle(E,F,F,G,E,C,C,B)
& ( eqangle(F,E,E,G,E,B,B,C)
| eqangle(E,F,F,G,C,E,E,B) )
& ( eqangle(F,E,E,G,E,B,B,C)
| eqangle(E,F,F,G,E,B,B,C) )
& ( eqangle(F,E,E,G,E,C,C,B)
| eqangle(E,F,F,G,C,E,E,B) )
& ( eqangle(F,E,E,G,E,C,C,B)
| eqangle(E,F,F,G,E,B,B,C) )
& ( eqangle(F,E,E,G,C,E,E,B)
| eqangle(E,F,F,G,E,C,C,B) )
& eqangle(F,E,E,G,C,E,E,B) ) ),
file('theBenchmark.p',exemplo6GDDFULL618072) ).
fof(exemplo6GDDFULL618072_neg,negated_conjecture,
~ ! [A,B,C,D,E,F,G,NWPNT1] :
( ( coll(G,A,B)
& perp(G,E,A,B)
& coll(F,A,C)
& perp(F,E,A,C)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) )
=> ( eqangle(E,F,F,G,E,C,C,B)
& ( eqangle(F,E,E,G,E,B,B,C)
| eqangle(E,F,F,G,C,E,E,B) )
& ( eqangle(F,E,E,G,E,B,B,C)
| eqangle(E,F,F,G,E,B,B,C) )
& ( eqangle(F,E,E,G,E,C,C,B)
| eqangle(E,F,F,G,C,E,E,B) )
& ( eqangle(F,E,E,G,E,C,C,B)
| eqangle(E,F,F,G,E,B,B,C) )
& ( eqangle(F,E,E,G,C,E,E,B)
| eqangle(E,F,F,G,E,C,C,B) )
& eqangle(F,E,E,G,C,E,E,B) ) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618072]) ).
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_99,plain,
( eqangle(B,C,B,D,A,C,A,E)
| ~ midp(E,C,D)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD50]) ).
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]) ).
fof(nnf_87,plain,
! [A,B,C,O] :
? [P] :
( perp(P,A,A,O)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleX11]) ).
fof(sk_ruleX11,plain,
! [A,B,C,O] :
( perp(sK0(A,B,C,O),A,A,O)
| ~ circle(O,A,B,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(P,sK0(A,B,C,O))],[nnf_87]) ).
cnf(c_102,plain,
( perp(sK0(B,C,D,A),B,B,A)
| ~ circle(A,B,C,D) ),
inference(split_conjunct,[status(thm)],[sk_ruleX11]) ).
fof(nnf_90,plain,
! [A,B,C,D] :
? [O] :
( circle(O,A,B,C)
| ~ cyclic(A,B,C,D)
| ~ perp(A,C,C,B) ),
inference(fof_nnf,[status(thm)],[ruleX14]) ).
fof(sk_ruleX14,plain,
! [A,B,C,D] :
( circle(sK1(A,B,C,D),A,B,C)
| ~ cyclic(A,B,C,D)
| ~ perp(A,C,C,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(O,sK1(A,B,C,D))],[nnf_90]) ).
cnf(c_108,plain,
( circle(sK1(A,C,B,D),A,C,B)
| ~ cyclic(A,C,B,D)
| ~ perp(A,B,B,C) ),
inference(split_conjunct,[status(thm)],[sk_ruleX14]) ).
fof(nnf_95,plain,
? [A,B,C,D,E,F,G,NWPNT1] :
( ( ~ eqangle(E,F,F,G,E,C,C,B)
| ( ~ eqangle(F,E,E,G,E,B,B,C)
& ~ eqangle(E,F,F,G,C,E,E,B) )
| ( ~ eqangle(F,E,E,G,E,B,B,C)
& ~ eqangle(E,F,F,G,E,B,B,C) )
| ( ~ eqangle(F,E,E,G,E,C,C,B)
& ~ eqangle(E,F,F,G,C,E,E,B) )
| ( ~ eqangle(F,E,E,G,E,C,C,B)
& ~ eqangle(E,F,F,G,E,B,B,C) )
| ( ~ eqangle(F,E,E,G,C,E,E,B)
& ~ eqangle(E,F,F,G,E,C,C,B) )
| ~ eqangle(F,E,E,G,C,E,E,B) )
& coll(G,A,B)
& perp(G,E,A,B)
& coll(F,A,C)
& perp(F,E,A,C)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL618072_neg]) ).
fof(sk_exemplo6GDDFULL618072_neg_sk,plain,
( ( ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK5,sK5,sK4)
| ( ~ eqangle(sK6,sK7,sK7,sK8,sK7,sK4,sK4,sK5)
& ~ eqangle(sK7,sK6,sK6,sK8,sK5,sK7,sK7,sK4) )
| ( ~ eqangle(sK6,sK7,sK7,sK8,sK7,sK4,sK4,sK5)
& ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK4,sK4,sK5) )
| ( ~ eqangle(sK6,sK7,sK7,sK8,sK7,sK5,sK5,sK4)
& ~ eqangle(sK7,sK6,sK6,sK8,sK5,sK7,sK7,sK4) )
| ( ~ eqangle(sK6,sK7,sK7,sK8,sK7,sK5,sK5,sK4)
& ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK4,sK4,sK5) )
| ( ~ eqangle(sK6,sK7,sK7,sK8,sK5,sK7,sK7,sK4)
& ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK5,sK5,sK4) )
| ~ eqangle(sK6,sK7,sK7,sK8,sK5,sK7,sK7,sK4) )
& coll(sK8,sK3,sK4)
& perp(sK8,sK7,sK3,sK4)
& coll(sK6,sK3,sK5)
& perp(sK6,sK7,sK3,sK5)
& circle(sK2,sK3,sK7,sK9)
& circle(sK2,sK3,sK4,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK7,sK9,sK6,sK8]),skolemize(A,sK3),skolemize(B,sK4),skolemize(C,sK5),skolemize(D,sK2),skolemize(E,sK7),skolemize(F,sK6),skolemize(G,sK8),skolemize(NWPNT1,sK9)],[nnf_95]) ).
fof(sk_exemplo6GDDFULL618072_neg,plain,
( ( ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK5,sK5,sK4)
| ~ eqangle(sK6,sK7,sK7,sK8,sK7,sK4,sK4,sK5)
| ~ eqangle(sK6,sK7,sK7,sK8,sK7,sK5,sK5,sK4)
| ~ eqangle(sK6,sK7,sK7,sK8,sK5,sK7,sK7,sK4) )
& ( ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK5,sK5,sK4)
| ~ eqangle(sK7,sK6,sK6,sK8,sK5,sK7,sK7,sK4)
| ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK4,sK4,sK5)
| ~ eqangle(sK6,sK7,sK7,sK8,sK5,sK7,sK7,sK4) )
& coll(sK8,sK3,sK4)
& perp(sK8,sK7,sK3,sK4)
& coll(sK6,sK3,sK5)
& perp(sK6,sK7,sK3,sK5)
& circle(sK2,sK3,sK7,sK9)
& circle(sK2,sK3,sK4,sK5) ),
inference(cnf_transformation,[status(thm)],[sk_exemplo6GDDFULL618072_neg_sk]) ).
cnf(c_109,negated_conjecture,
circle(sK2,sK3,sK4,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618072_neg]) ).
cnf(c_130,negated_conjecture,
perp(sK0(sK3,sK4,sK5,sK2),sK3,sK3,sK2),
inference(resolve,[status(thm)],[c_109,c_102]) ).
cnf(c_139,plain,
( eqangle(A,E,A,C,B,A,B,C)
| ~ perp(sK1(A,C,B,D),A,A,E)
| ~ cyclic(A,C,B,D)
| ~ perp(A,B,B,C) ),
inference(resolve,[status(thm)],[c_108,c_96]) ).
cnf(c_173,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]) ).
cnf(c_174,plain,
( ~ cong(E,D,E,C)
| ~ cong(E,D,E,B)
| eqangle(D,B,D,C,E,B,E,A)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_99,c_97]) ).
cnf(c_178,negated_conjecture,
( ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK5,sK5,sK4)
| ~ eqangle(sK7,sK6,sK6,sK8,sK5,sK7,sK7,sK4)
| ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK4,sK4,sK5)
| ~ eqangle(sK6,sK7,sK7,sK8,sK5,sK7,sK7,sK4) ),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618072_neg]) ).
cnf(c_180,negated_conjecture,
perp(sK8,sK7,sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618072_neg]) ).
cnf(c_182,negated_conjecture,
perp(sK6,sK7,sK3,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618072_neg]) ).
cnf(c_213,plain,
( cong(A,B,C,D)
| ~ cong(E,F,V6,V7)
| ~ eqratio(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD75]) ).
cnf(c_221,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_222,plain,
( eqratio(E,A,A,C,E,B,B,D)
| ~ coll(E,B,D)
| ~ coll(E,A,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD65]) ).
cnf(c_223,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,
( 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_231,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_232,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_233,plain,
( eqangle(A,D,C,D,C,D,C,B)
| ~ para(A,B,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD54]) ).
cnf(c_234,plain,
( cong(A,D,B,D)
| ~ midp(D,A,C)
| ~ perp(A,B,B,C) ),
inference(clausify,[status(thm)],[ruleD52]) ).
cnf(c_236,plain,
( eqangle(A,B,B,C,B,C,A,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD46]) ).
cnf(c_237,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_239,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_240,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_242,plain,
( eqangle(C,A,C,B,D,A,D,B)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD41]) ).
cnf(c_243,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_244,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_260,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_261,plain,
( eqangle(A,B,C,D,V8,V9,V10,V11)
| ~ eqangle(E,F,V6,V7,V8,V9,V10,V11)
| ~ eqangle(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD22]) ).
cnf(c_262,plain,
( eqangle(A,B,E,F,C,D,V6,V7)
| ~ eqangle(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD21]) ).
cnf(c_264,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_266,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_267,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_268,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_269,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_271,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_273,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_274,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_275,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_277,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_278,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_279,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_280,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_281,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_297,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_173]) ).
cnf(c_321,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_223]) ).
cnf(c_324,plain,
( perp(B,A,A,B)
| ~ cyclic(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_230]) ).
cnf(c_325,plain,
( perp(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_231]) ).
cnf(c_327,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_239]) ).
cnf(c_328,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_239]) ).
cnf(c_329,plain,
( cong(A,B,D,E)
| ~ eqangle(C,A,C,B,E,D,E,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_239]) ).
cnf(c_330,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_266]) ).
cnf(c_335,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_279]) ).
cnf(c_409,plain,
( para(sK6,sK7,A,B)
| ~ perp(sK3,sK5,A,B) ),
inference(resolve,[status(thm)],[c_273,c_182]) ).
cnf(c_410,plain,
( para(sK8,sK7,A,B)
| ~ perp(sK3,sK4,A,B) ),
inference(resolve,[status(thm)],[c_273,c_180]) ).
cnf(c_415,plain,
( para(A,B,sK3,sK2)
| ~ perp(A,B,sK0(sK3,sK4,sK5,sK2),sK3) ),
inference(resolve,[status(thm)],[c_273,c_130]) ).
cnf(c_417,plain,
perp(sK3,sK5,sK6,sK7),
inference(resolve,[status(thm)],[c_274,c_182]) ).
cnf(c_418,plain,
perp(sK3,sK4,sK8,sK7),
inference(resolve,[status(thm)],[c_274,c_180]) ).
cnf(c_419,plain,
perp(sK3,sK2,sK0(sK3,sK4,sK5,sK2),sK3),
inference(resolve,[status(thm)],[c_274,c_130]) ).
cnf(c_577,plain,
perp(sK3,sK5,sK7,sK6),
inference(resolve,[status(thm)],[c_417,c_275]) ).
cnf(c_591,plain,
perp(sK3,sK4,sK7,sK8),
inference(resolve,[status(thm)],[c_418,c_275]) ).
cnf(c_985,plain,
para(sK6,sK7,sK7,sK6),
inference(resolve,[status(thm)],[c_409,c_577]) ).
cnf(c_986,plain,
para(sK6,sK7,sK6,sK7),
inference(resolve,[status(thm)],[c_409,c_417]) ).
cnf(c_987,plain,
para(sK8,sK7,sK7,sK8),
inference(resolve,[status(thm)],[c_410,c_591]) ).
cnf(c_988,plain,
para(sK8,sK7,sK8,sK7),
inference(resolve,[status(thm)],[c_410,c_418]) ).
cnf(c_993,plain,
para(sK7,sK6,sK6,sK7),
inference(resolve,[status(thm)],[c_985,c_277]) ).
cnf(c_996,plain,
eqangle(sK6,sK7,A,B,sK7,sK6,A,B),
inference(resolve,[status(thm)],[c_985,c_243]) ).
cnf(c_998,plain,
( eqratio(A,sK6,sK6,sK7,A,sK7,sK7,sK6)
| ~ coll(A,sK7,sK6)
| ~ coll(A,sK6,sK7) ),
inference(resolve,[status(thm)],[c_985,c_222]) ).
cnf(c_1008,plain,
eqangle(sK6,sK7,A,B,sK6,sK7,A,B),
inference(resolve,[status(thm)],[c_986,c_243]) ).
cnf(c_1011,plain,
coll(sK6,sK7,sK7),
inference(resolve,[status(thm)],[c_986,c_221]) ).
cnf(c_1018,plain,
coll(sK7,sK7,sK6),
inference(resolve,[status(thm)],[c_1011,c_335]) ).
cnf(c_1019,plain,
coll(sK7,sK6,sK7),
inference(resolve,[status(thm)],[c_1011,c_280]) ).
cnf(c_1026,plain,
coll(sK6,sK6,sK7),
inference(resolve,[status(thm)],[c_1018,c_335]) ).
cnf(c_1029,plain,
coll(sK7,sK7,sK7),
inference(resolve,[status(thm)],[c_1019,c_335]) ).
cnf(c_1036,plain,
coll(sK6,sK7,sK6),
inference(resolve,[status(thm)],[c_1026,c_281]) ).
cnf(c_1104,plain,
para(sK3,sK2,sK3,sK2),
inference(resolve,[status(thm)],[c_419,c_415]) ).
cnf(c_1290,plain,
para(sK7,sK8,sK8,sK7),
inference(resolve,[status(thm)],[c_987,c_277]) ).
cnf(c_1305,plain,
eqangle(sK8,sK7,A,B,sK8,sK7,A,B),
inference(resolve,[status(thm)],[c_988,c_243]) ).
cnf(c_1318,plain,
para(sK7,sK6,sK7,sK6),
inference(resolve,[status(thm)],[c_993,c_278]) ).
cnf(c_1391,plain,
para(sK3,sK2,sK2,sK3),
inference(resolve,[status(thm)],[c_1104,c_278]) ).
cnf(c_1392,plain,
eqangle(sK3,sK2,A,B,sK3,sK2,A,B),
inference(resolve,[status(thm)],[c_1104,c_243]) ).
cnf(c_1720,plain,
para(sK7,sK8,sK7,sK8),
inference(resolve,[status(thm)],[c_1290,c_278]) ).
cnf(c_1732,plain,
( midp(A,sK6,sK6)
| ~ midp(A,sK7,sK7) ),
inference(resolve,[status(thm)],[c_1318,c_321]) ).
cnf(c_1735,plain,
eqangle(sK7,sK6,A,B,sK7,sK6,A,B),
inference(resolve,[status(thm)],[c_1318,c_243]) ).
cnf(c_1802,plain,
para(sK2,sK3,sK3,sK2),
inference(resolve,[status(thm)],[c_1391,c_277]) ).
cnf(c_1843,plain,
eqangle(sK7,sK8,A,B,sK7,sK8,A,B),
inference(resolve,[status(thm)],[c_1720,c_243]) ).
cnf(c_1856,plain,
para(sK2,sK3,sK2,sK3),
inference(resolve,[status(thm)],[c_1802,c_278]) ).
cnf(c_1917,plain,
eqangle(sK2,sK3,A,B,sK2,sK3,A,B),
inference(resolve,[status(thm)],[c_1856,c_243]) ).
cnf(c_2467,plain,
eqangle(A,B,sK6,sK7,A,B,sK7,sK6),
inference(resolve,[status(thm)],[c_996,c_264]) ).
cnf(c_2468,plain,
eqangle(sK6,sK7,sK7,sK6,A,B,A,B),
inference(resolve,[status(thm)],[c_996,c_262]) ).
cnf(c_15985,plain,
( eqratio(sK6,sK6,sK6,sK7,sK6,sK7,sK7,sK6)
| ~ coll(sK6,sK7,sK6) ),
inference(resolve,[status(thm)],[c_998,c_1026]) ).
cnf(c_2479,plain,
eqratio(sK6,sK6,sK6,sK7,sK6,sK7,sK7,sK6),
inference(resolve,[status(thm)],[c_1036,c_15985]) ).
cnf(c_15986,plain,
( ~ cong(sK6,sK6,sK6,sK7)
| midp(sK7,sK7,sK7)
| ~ coll(sK7,sK7,sK7) ),
inference(resolve,[status(thm)],[c_1008,c_297]) ).
cnf(c_2514,plain,
( ~ cong(sK6,sK6,sK6,sK7)
| midp(sK7,sK7,sK7) ),
inference(resolve,[status(thm)],[c_1029,c_15986]) ).
cnf(c_2515,plain,
eqangle(A,B,sK6,sK7,A,B,sK6,sK7),
inference(resolve,[status(thm)],[c_1008,c_264]) ).
cnf(c_2517,plain,
( cyclic(sK7,A,sK6,sK6)
| ~ coll(sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_1008,c_240]) ).
cnf(c_2518,plain,
( cong(sK7,A,sK7,A)
| ~ cyclic(sK7,A,sK6,sK6)
| ~ cyclic(sK7,A,sK6,A)
| ~ cyclic(sK7,A,sK6,sK7) ),
inference(resolve,[status(thm)],[c_1008,c_239]) ).
cnf(c_2615,plain,
( cyclic(sK7,A,sK8,sK8)
| ~ coll(sK8,sK8,A) ),
inference(resolve,[status(thm)],[c_1305,c_240]) ).
cnf(c_2708,plain,
( cyclic(sK2,A,sK3,sK3)
| ~ coll(sK3,sK3,A) ),
inference(resolve,[status(thm)],[c_1392,c_240]) ).
cnf(c_2709,plain,
( cong(sK2,A,sK2,A)
| ~ cyclic(sK2,A,sK3,sK3)
| ~ cyclic(sK2,A,sK3,A)
| ~ cyclic(sK2,A,sK3,sK2) ),
inference(resolve,[status(thm)],[c_1392,c_239]) ).
cnf(c_2729,plain,
( cyclic(sK6,A,sK7,sK7)
| ~ coll(sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_1735,c_240]) ).
cnf(c_2730,plain,
( cong(sK6,A,sK6,A)
| ~ cyclic(sK6,A,sK7,sK7)
| ~ cyclic(sK6,A,sK7,A)
| ~ cyclic(sK6,A,sK7,sK6) ),
inference(resolve,[status(thm)],[c_1735,c_239]) ).
cnf(c_2737,plain,
( ~ cong(sK7,sK7,sK7,A)
| ~ cong(sK7,sK7,sK7,sK6)
| midp(A,sK6,A)
| ~ coll(A,sK6,A) ),
inference(resolve,[status(thm)],[c_1735,c_173]) ).
cnf(c_2804,plain,
( cyclic(sK8,A,sK7,sK7)
| ~ coll(sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_1843,c_240]) ).
cnf(c_2805,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK7,sK7)
| ~ cyclic(sK8,A,sK7,A)
| ~ cyclic(sK8,A,sK7,sK8) ),
inference(resolve,[status(thm)],[c_1843,c_239]) ).
cnf(c_2824,plain,
( cong(sK3,sK2,sK3,sK2)
| ~ cyclic(sK3,sK2,sK2,sK2)
| ~ cyclic(sK3,sK2,sK2,sK3) ),
inference(resolve,[status(thm)],[c_1917,c_329]) ).
cnf(c_2825,plain,
( cong(sK3,sK3,sK3,sK3)
| ~ cyclic(sK3,sK3,sK2,sK2)
| ~ cyclic(sK3,sK3,sK2,sK3) ),
inference(resolve,[status(thm)],[c_1917,c_327]) ).
cnf(c_2829,plain,
( cyclic(sK3,A,sK2,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_1917,c_240]) ).
cnf(c_2830,plain,
( cong(sK3,A,sK3,A)
| ~ cyclic(sK3,A,sK2,sK2)
| ~ cyclic(sK3,A,sK2,A)
| ~ cyclic(sK3,A,sK2,sK3) ),
inference(resolve,[status(thm)],[c_1917,c_239]) ).
cnf(c_2867,plain,
eqangle(A,B,A,B,sK6,sK7,sK7,sK6),
inference(resolve,[status(thm)],[c_2467,c_262]) ).
cnf(c_2871,plain,
( eqangle(sK6,sK7,sK7,sK6,C,D,E,F)
| ~ eqangle(A,B,A,B,C,D,E,F) ),
inference(resolve,[status(thm)],[c_2468,c_261]) ).
cnf(c_2912,plain,
( cong(sK6,sK6,sK6,sK7)
| ~ cong(sK6,sK7,sK7,sK6) ),
inference(resolve,[status(thm)],[c_2479,c_213]) ).
cnf(c_2920,plain,
( cong(sK6,sK7,sK6,sK7)
| ~ cyclic(sK6,sK7,sK6,sK7)
| ~ cyclic(sK6,sK7,sK6,sK6) ),
inference(resolve,[status(thm)],[c_2515,c_328]) ).
cnf(c_2923,plain,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_2515,c_244]) ).
cnf(c_15987,plain,
( cyclic(A,sK7,sK6,sK6)
| ~ coll(sK6,sK6,sK7) ),
inference(resolve,[status(thm)],[c_2515,c_240]) ).
cnf(c_2925,plain,
cyclic(A,sK7,sK6,sK6),
inference(resolve,[status(thm)],[c_1026,c_15987]) ).
cnf(c_2931,plain,
( ~ cong(sK6,sK6,sK6,sK7)
| ~ cong(sK6,sK6,sK6,A)
| midp(sK7,A,sK7)
| ~ coll(sK7,A,sK7) ),
inference(resolve,[status(thm)],[c_2515,c_173]) ).
cnf(c_2936,plain,
( cong(sK6,sK7,sK6,sK7)
| ~ cyclic(sK6,sK7,sK6,sK7) ),
inference(resolve,[status(thm)],[c_2925,c_2920]) ).
cnf(c_2938,plain,
( midp(A,C,C)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_2923,c_321]) ).
cnf(c_2946,plain,
( midp(C,B,C)
| ~ coll(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_2923,c_237]) ).
cnf(c_2948,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_2923,c_221]) ).
cnf(c_3006,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_2948,c_335]) ).
cnf(c_3007,plain,
coll(A,B,A),
inference(resolve,[status(thm)],[c_2948,c_280]) ).
cnf(c_3014,plain,
cyclic(sK3,A,sK2,sK2),
inference(resolve,[status(thm)],[c_3006,c_2829]) ).
cnf(c_3015,plain,
cyclic(sK8,A,sK7,sK7),
inference(resolve,[status(thm)],[c_3006,c_2804]) ).
cnf(c_3018,plain,
cyclic(sK6,A,sK7,sK7),
inference(resolve,[status(thm)],[c_3006,c_2729]) ).
cnf(c_3019,plain,
cyclic(sK2,A,sK3,sK3),
inference(resolve,[status(thm)],[c_3006,c_2708]) ).
cnf(c_3026,plain,
cyclic(sK7,A,sK8,sK8),
inference(resolve,[status(thm)],[c_3006,c_2615]) ).
cnf(c_3031,plain,
cyclic(sK7,A,sK6,sK6),
inference(resolve,[status(thm)],[c_3006,c_2517]) ).
cnf(c_3117,plain,
( midp(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_3007,c_2946]) ).
cnf(c_3118,plain,
( ~ cong(sK6,sK6,sK6,sK7)
| ~ cong(sK6,sK6,sK6,A)
| midp(sK7,A,sK7) ),
inference(resolve,[status(thm)],[c_3007,c_2931]) ).
cnf(c_3123,plain,
( ~ cong(sK7,sK7,sK7,A)
| ~ cong(sK7,sK7,sK7,sK6)
| midp(A,sK6,A) ),
inference(resolve,[status(thm)],[c_3007,c_2737]) ).
cnf(c_3141,plain,
( cong(sK3,A,sK3,A)
| ~ cyclic(sK3,A,sK2,A)
| ~ cyclic(sK3,A,sK2,sK3) ),
inference(resolve,[status(thm)],[c_3014,c_2830]) ).
cnf(c_3142,plain,
( cong(sK3,sK3,sK3,sK3)
| ~ cyclic(sK3,sK3,sK2,sK3) ),
inference(resolve,[status(thm)],[c_3014,c_2825]) ).
cnf(c_3143,plain,
( cong(sK3,sK2,sK3,sK2)
| ~ cyclic(sK3,sK2,sK2,sK3) ),
inference(resolve,[status(thm)],[c_3014,c_2824]) ).
cnf(c_3144,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK7,A)
| ~ cyclic(sK8,A,sK7,sK8) ),
inference(resolve,[status(thm)],[c_3015,c_2805]) ).
cnf(c_3153,plain,
( cong(sK6,A,sK6,A)
| ~ cyclic(sK6,A,sK7,A)
| ~ cyclic(sK6,A,sK7,sK6) ),
inference(resolve,[status(thm)],[c_3018,c_2730]) ).
cnf(c_3156,plain,
( cong(sK2,A,sK2,A)
| ~ cyclic(sK2,A,sK3,A)
| ~ cyclic(sK2,A,sK3,sK2) ),
inference(resolve,[status(thm)],[c_3019,c_2709]) ).
cnf(c_3168,plain,
( cong(sK7,A,sK7,A)
| ~ cyclic(sK7,A,sK6,A)
| ~ cyclic(sK7,A,sK6,sK7) ),
inference(resolve,[status(thm)],[c_3031,c_2518]) ).
cnf(c_15988,plain,
( coll(B,C,A)
| ~ coll(A,A,B) ),
inference(resolve,[status(thm)],[c_3006,c_279]) ).
cnf(c_3261,plain,
coll(A,B,C),
inference(resolve,[status(thm)],[c_3006,c_15988]) ).
cnf(c_3272,plain,
( midp(D,B,E)
| ~ para(A,D,C,E)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_3261,c_237]) ).
cnf(c_3374,plain,
cyclic(A,sK6,sK7,sK6),
inference(resolve,[status(thm)],[c_2925,c_268]) ).
cnf(c_3392,plain,
cyclic(A,sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_3014,c_330]) ).
cnf(c_3394,plain,
cyclic(sK3,sK2,A,sK2),
inference(resolve,[status(thm)],[c_3014,c_268]) ).
cnf(c_3411,plain,
cyclic(sK8,sK7,A,sK7),
inference(resolve,[status(thm)],[c_3015,c_268]) ).
cnf(c_3461,plain,
cyclic(sK6,sK7,A,sK7),
inference(resolve,[status(thm)],[c_3018,c_268]) ).
cnf(c_3476,plain,
cong(sK6,sK7,sK6,sK7),
inference(resolve,[status(thm)],[c_3461,c_2936]) ).
cnf(c_3477,plain,
cyclic(A,sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_3019,c_330]) ).
cnf(c_3479,plain,
cyclic(sK2,sK3,A,sK3),
inference(resolve,[status(thm)],[c_3019,c_268]) ).
cnf(c_3480,plain,
cyclic(A,sK2,sK3,sK3),
inference(resolve,[status(thm)],[c_3019,c_267]) ).
cnf(c_3481,plain,
( cyclic(A,sK3,B,sK3)
| ~ cyclic(sK2,A,sK3,B) ),
inference(resolve,[status(thm)],[c_3019,c_266]) ).
cnf(c_3482,plain,
( cyclic(A,sK3,sK3,B)
| ~ cyclic(sK2,A,sK3,B) ),
inference(resolve,[status(thm)],[c_3019,c_266]) ).
cnf(c_3528,plain,
cyclic(sK7,sK8,A,sK8),
inference(resolve,[status(thm)],[c_3026,c_268]) ).
cnf(c_3545,plain,
cyclic(sK7,sK6,A,sK6),
inference(resolve,[status(thm)],[c_3031,c_268]) ).
cnf(c_3576,plain,
cyclic(sK6,A,sK7,sK6),
inference(resolve,[status(thm)],[c_3374,c_267]) ).
cnf(c_3592,plain,
( cong(sK6,A,sK6,A)
| ~ cyclic(sK6,A,sK7,A) ),
inference(resolve,[status(thm)],[c_3576,c_3153]) ).
cnf(c_3643,plain,
cyclic(sK2,A,sK2,sK2),
inference(resolve,[status(thm)],[c_3392,c_267]) ).
cnf(c_3656,plain,
cyclic(sK3,sK2,sK2,A),
inference(resolve,[status(thm)],[c_3394,c_269]) ).
cnf(c_3657,plain,
cyclic(sK2,sK3,A,sK2),
inference(resolve,[status(thm)],[c_3394,c_267]) ).
cnf(c_3672,plain,
cong(sK3,sK2,sK3,sK2),
inference(resolve,[status(thm)],[c_3656,c_3143]) ).
cnf(c_3703,plain,
cyclic(sK8,sK7,sK7,A),
inference(resolve,[status(thm)],[c_3411,c_269]) ).
cnf(c_3704,plain,
cyclic(sK7,sK8,A,sK7),
inference(resolve,[status(thm)],[c_3411,c_267]) ).
cnf(c_3830,plain,
cyclic(sK7,sK6,A,sK7),
inference(resolve,[status(thm)],[c_3461,c_267]) ).
cnf(c_3892,plain,
cong(sK6,sK7,sK7,sK6),
inference(resolve,[status(thm)],[c_3476,c_260]) ).
cnf(c_3908,plain,
cong(sK6,sK6,sK6,sK7),
inference(resolve,[status(thm)],[c_3892,c_2912]) ).
cnf(c_3910,plain,
( ~ cong(sK6,sK6,sK6,A)
| midp(sK7,A,sK7) ),
inference(resolve,[status(thm)],[c_3908,c_3118]) ).
cnf(c_3911,plain,
midp(sK7,sK7,sK7),
inference(resolve,[status(thm)],[c_3908,c_2514]) ).
cnf(c_3913,plain,
midp(sK7,sK6,sK6),
inference(resolve,[status(thm)],[c_3911,c_1732]) ).
cnf(c_3960,plain,
cyclic(sK3,A,sK3,sK3),
inference(resolve,[status(thm)],[c_3477,c_267]) ).
cnf(c_3973,plain,
cyclic(sK2,sK3,sK3,A),
inference(resolve,[status(thm)],[c_3479,c_269]) ).
cnf(c_3974,plain,
cyclic(sK3,sK2,A,sK3),
inference(resolve,[status(thm)],[c_3479,c_267]) ).
cnf(c_3990,plain,
cyclic(A,sK3,sK2,sK3),
inference(resolve,[status(thm)],[c_3480,c_268]) ).
cnf(c_4002,plain,
cong(sK3,sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_3990,c_3142]) ).
cnf(c_4076,plain,
cyclic(sK7,sK8,sK8,A),
inference(resolve,[status(thm)],[c_3528,c_269]) ).
cnf(c_4077,plain,
cyclic(sK8,sK7,A,sK8),
inference(resolve,[status(thm)],[c_3528,c_267]) ).
cnf(c_4121,plain,
cyclic(sK7,sK6,sK6,A),
inference(resolve,[status(thm)],[c_3545,c_269]) ).
cnf(c_4248,plain,
cyclic(sK2,sK2,A,sK2),
inference(resolve,[status(thm)],[c_3643,c_268]) ).
cnf(c_4261,plain,
cyclic(sK2,sK2,A,A),
inference(resolve,[status(thm)],[c_3656,c_330]) ).
cnf(c_4262,plain,
cyclic(sK2,sK3,sK2,A),
inference(resolve,[status(thm)],[c_3656,c_267]) ).
cnf(c_15989,plain,
( cyclic(sK2,sK2,A,B)
| ~ cyclic(sK3,sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_3656,c_266]) ).
cnf(c_4263,plain,
cyclic(sK2,sK2,A,B),
inference(resolve,[status(thm)],[c_3656,c_15989]) ).
cnf(c_4277,plain,
cyclic(sK2,A,sK3,sK2),
inference(resolve,[status(thm)],[c_3657,c_268]) ).
cnf(c_4279,plain,
( cyclic(sK3,A,sK2,B)
| ~ cyclic(sK2,sK3,A,B) ),
inference(resolve,[status(thm)],[c_3657,c_266]) ).
cnf(c_4293,plain,
( cong(sK2,A,sK2,A)
| ~ cyclic(sK2,A,sK3,A) ),
inference(resolve,[status(thm)],[c_4277,c_3156]) ).
cnf(c_4300,plain,
perp(sK3,sK3,sK2,sK2),
inference(resolve,[status(thm)],[c_3672,c_325]) ).
cnf(c_4474,plain,
cyclic(sK7,sK7,A,A),
inference(resolve,[status(thm)],[c_3703,c_330]) ).
cnf(c_15990,plain,
( cyclic(sK7,sK7,A,B)
| ~ cyclic(sK8,sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_3703,c_266]) ).
cnf(c_4476,plain,
cyclic(sK7,sK7,A,B),
inference(resolve,[status(thm)],[c_3703,c_15990]) ).
cnf(c_4492,plain,
( cyclic(sK8,A,sK7,B)
| ~ cyclic(sK7,sK8,A,B) ),
inference(resolve,[status(thm)],[c_3704,c_266]) ).
cnf(c_5083,plain,
cyclic(sK7,A,sK6,sK7),
inference(resolve,[status(thm)],[c_3830,c_268]) ).
cnf(c_5085,plain,
( cyclic(sK6,A,sK7,B)
| ~ cyclic(sK7,sK6,A,B) ),
inference(resolve,[status(thm)],[c_3830,c_266]) ).
cnf(c_5099,plain,
( cong(sK7,A,sK7,A)
| ~ cyclic(sK7,A,sK6,A) ),
inference(resolve,[status(thm)],[c_5083,c_3168]) ).
cnf(c_5190,plain,
( eqangle(sK3,B,sK3,A,sK3,sK3,sK3,A)
| ~ perp(sK1(sK3,A,sK3,sK3),sK3,sK3,B)
| ~ perp(sK3,sK3,sK3,A) ),
inference(resolve,[status(thm)],[c_3960,c_139]) ).
cnf(c_5191,plain,
cyclic(sK3,sK3,A,A),
inference(resolve,[status(thm)],[c_3973,c_330]) ).
cnf(c_15991,plain,
( cyclic(sK3,sK3,A,B)
| ~ cyclic(sK2,sK3,sK3,A) ),
inference(resolve,[status(thm)],[c_3973,c_266]) ).
cnf(c_5193,plain,
cyclic(sK3,sK3,A,B),
inference(resolve,[status(thm)],[c_3973,c_15991]) ).
cnf(c_5207,plain,
cyclic(sK3,A,sK2,sK3),
inference(resolve,[status(thm)],[c_3974,c_268]) ).
cnf(c_5209,plain,
( cyclic(sK2,A,sK3,B)
| ~ cyclic(sK3,sK2,A,B) ),
inference(resolve,[status(thm)],[c_3974,c_266]) ).
cnf(c_5223,plain,
( cong(sK3,A,sK3,A)
| ~ cyclic(sK3,A,sK2,A) ),
inference(resolve,[status(thm)],[c_5207,c_3141]) ).
cnf(c_5289,plain,
( perp(sK3,sK3,sK3,A)
| ~ cong(sK3,A,sK3,A) ),
inference(resolve,[status(thm)],[c_4002,c_231]) ).
cnf(c_15992,plain,
( cyclic(sK8,sK8,A,B)
| ~ cyclic(sK7,sK8,sK8,A) ),
inference(resolve,[status(thm)],[c_4076,c_266]) ).
cnf(c_5406,plain,
cyclic(sK8,sK8,A,B),
inference(resolve,[status(thm)],[c_4076,c_15992]) ).
cnf(c_5420,plain,
cyclic(sK8,A,sK7,sK8),
inference(resolve,[status(thm)],[c_4077,c_268]) ).
cnf(c_5436,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK7,A) ),
inference(resolve,[status(thm)],[c_5420,c_3144]) ).
cnf(c_5522,plain,
cyclic(sK6,sK6,A,A),
inference(resolve,[status(thm)],[c_4121,c_330]) ).
cnf(c_15993,plain,
( cyclic(sK2,A,sK2,B)
| ~ cyclic(sK2,sK2,A,B) ),
inference(resolve,[status(thm)],[c_4248,c_266]) ).
cnf(c_5590,plain,
cyclic(sK2,A,sK2,B),
inference(resolve,[status(thm)],[c_4263,c_15993]) ).
cnf(c_15994,plain,
( cyclic(sK2,A,B,A)
| ~ cyclic(sK2,sK2,A,B) ),
inference(resolve,[status(thm)],[c_4261,c_266]) ).
cnf(c_5606,plain,
cyclic(sK2,A,B,A),
inference(resolve,[status(thm)],[c_4263,c_15994]) ).
cnf(c_5619,plain,
cong(sK2,A,sK2,A),
inference(resolve,[status(thm)],[c_5606,c_4293]) ).
cnf(c_15995,plain,
( cyclic(sK3,sK2,A,B)
| ~ cyclic(sK2,sK3,sK2,A) ),
inference(resolve,[status(thm)],[c_4262,c_266]) ).
cnf(c_5642,plain,
cyclic(sK3,sK2,A,B),
inference(resolve,[status(thm)],[c_5590,c_15995]) ).
cnf(c_5655,plain,
cyclic(sK2,A,sK3,B),
inference(resolve,[status(thm)],[c_5642,c_5209]) ).
cnf(c_5657,plain,
cyclic(A,sK3,sK3,B),
inference(resolve,[status(thm)],[c_5655,c_3482]) ).
cnf(c_5658,plain,
cyclic(A,sK3,B,sK3),
inference(resolve,[status(thm)],[c_5655,c_3481]) ).
cnf(c_15996,plain,
( cyclic(sK2,A,B,C)
| ~ cyclic(sK2,sK2,A,B) ),
inference(resolve,[status(thm)],[c_4263,c_266]) ).
cnf(c_5683,plain,
cyclic(sK2,A,B,C),
inference(resolve,[status(thm)],[c_4263,c_15996]) ).
cnf(c_5695,plain,
cyclic(sK3,A,sK2,B),
inference(resolve,[status(thm)],[c_5683,c_4279]) ).
cnf(c_5723,plain,
cong(sK3,A,sK3,A),
inference(resolve,[status(thm)],[c_5695,c_5223]) ).
cnf(c_5725,plain,
perp(sK3,sK3,sK3,A),
inference(resolve,[status(thm)],[c_5723,c_5289]) ).
cnf(c_5733,plain,
( eqangle(sK3,B,sK3,A,sK3,sK3,sK3,A)
| ~ perp(sK1(sK3,A,sK3,sK3),sK3,sK3,B) ),
inference(resolve,[status(thm)],[c_5725,c_5190]) ).
cnf(c_5758,plain,
( para(sK3,sK3,A,B)
| ~ perp(sK2,sK2,A,B) ),
inference(resolve,[status(thm)],[c_4300,c_273]) ).
cnf(c_5812,plain,
( perp(A,sK7,sK7,A)
| ~ cong(sK7,A,sK7,A) ),
inference(resolve,[status(thm)],[c_4474,c_324]) ).
cnf(c_15997,plain,
( cyclic(sK7,A,B,A)
| ~ cyclic(sK7,sK7,A,B) ),
inference(resolve,[status(thm)],[c_4474,c_266]) ).
cnf(c_5813,plain,
cyclic(sK7,A,B,A),
inference(resolve,[status(thm)],[c_4476,c_15997]) ).
cnf(c_5826,plain,
cong(sK7,A,sK7,A),
inference(resolve,[status(thm)],[c_5813,c_5099]) ).
cnf(c_5827,plain,
perp(A,sK7,sK7,A),
inference(resolve,[status(thm)],[c_5826,c_5812]) ).
cnf(c_15998,plain,
( cyclic(sK7,A,B,C)
| ~ cyclic(sK7,sK7,A,B) ),
inference(resolve,[status(thm)],[c_4476,c_266]) ).
cnf(c_5879,plain,
cyclic(sK7,A,B,C),
inference(resolve,[status(thm)],[c_4476,c_15998]) ).
cnf(c_5891,plain,
cyclic(sK6,A,sK7,B),
inference(resolve,[status(thm)],[c_5879,c_5085]) ).
cnf(c_5893,plain,
cyclic(sK8,A,sK7,B),
inference(resolve,[status(thm)],[c_5879,c_4492]) ).
cnf(c_5954,plain,
cong(sK6,A,sK6,A),
inference(resolve,[status(thm)],[c_5891,c_3592]) ).
cnf(c_5956,plain,
cong(sK8,A,sK8,A),
inference(resolve,[status(thm)],[c_5893,c_5436]) ).
cnf(c_15999,plain,
( perp(A,sK3,sK3,A)
| ~ cong(sK3,A,sK3,A) ),
inference(resolve,[status(thm)],[c_5191,c_324]) ).
cnf(c_6617,plain,
perp(A,sK3,sK3,A),
inference(resolve,[status(thm)],[c_5723,c_15999]) ).
cnf(c_6659,plain,
( eqangle(sK3,B,A,B,A,B,A,sK3)
| ~ para(sK3,sK3,A,B) ),
inference(resolve,[status(thm)],[c_5193,c_233]) ).
cnf(c_16000,plain,
( perp(A,sK3,sK3,B)
| ~ cong(sK3,B,sK3,B)
| ~ cong(sK3,A,sK3,A) ),
inference(resolve,[status(thm)],[c_5193,c_230]) ).
cnf(c_16001,plain,
( perp(B,sK3,sK3,A)
| ~ cong(sK3,A,sK3,A) ),
inference(resolve,[status(thm)],[c_5723,c_16000]) ).
cnf(c_6660,plain,
perp(A,sK3,sK3,B),
inference(resolve,[status(thm)],[c_5723,c_16001]) ).
cnf(c_16002,plain,
( eqangle(sK3,C,sK3,sK3,A,sK3,A,sK3)
| ~ perp(sK1(sK3,sK3,A,B),sK3,sK3,C)
| ~ perp(sK3,A,A,sK3) ),
inference(resolve,[status(thm)],[c_5193,c_139]) ).
cnf(c_6668,plain,
( eqangle(sK3,B,sK3,sK3,A,sK3,A,sK3)
| ~ perp(sK3,A,A,sK3) ),
inference(resolve,[status(thm)],[c_6660,c_16002]) ).
cnf(c_6683,plain,
eqangle(sK3,A,sK3,B,sK3,sK3,sK3,B),
inference(resolve,[status(thm)],[c_6660,c_5733]) ).
cnf(c_16003,plain,
( perp(A,sK8,sK8,B)
| ~ cong(sK8,B,sK8,B)
| ~ cong(sK8,A,sK8,A) ),
inference(resolve,[status(thm)],[c_5406,c_230]) ).
cnf(c_16004,plain,
( perp(B,sK8,sK8,A)
| ~ cong(sK8,A,sK8,A) ),
inference(resolve,[status(thm)],[c_5956,c_16003]) ).
cnf(c_6911,plain,
perp(A,sK8,sK8,B),
inference(resolve,[status(thm)],[c_5956,c_16004]) ).
cnf(c_16005,plain,
( perp(A,sK6,sK6,A)
| ~ cong(sK6,A,sK6,A) ),
inference(resolve,[status(thm)],[c_5522,c_324]) ).
cnf(c_7005,plain,
perp(A,sK6,sK6,A),
inference(resolve,[status(thm)],[c_5954,c_16005]) ).
cnf(c_16006,plain,
( perp(sK2,sK2,A,B)
| ~ cong(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_5619,c_231]) ).
cnf(c_7213,plain,
perp(sK2,sK2,A,B),
inference(resolve,[status(thm)],[c_5619,c_16006]) ).
cnf(c_7227,plain,
para(sK3,sK3,A,B),
inference(resolve,[status(thm)],[c_7213,c_5758]) ).
cnf(c_7240,plain,
eqangle(sK3,A,B,A,B,A,B,sK3),
inference(resolve,[status(thm)],[c_7227,c_6659]) ).
cnf(c_7406,plain,
( perp(sK3,A,A,B)
| ~ cong(A,B,sK3,B)
| ~ cong(A,sK3,sK3,sK3) ),
inference(resolve,[status(thm)],[c_5657,c_230]) ).
cnf(c_7417,plain,
eqangle(A,B,A,sK3,sK3,B,sK3,sK3),
inference(resolve,[status(thm)],[c_5658,c_242]) ).
cnf(c_16007,plain,
( cyclic(A,B,C,D)
| ~ cyclic(sK2,A,B,C) ),
inference(resolve,[status(thm)],[c_5683,c_266]) ).
cnf(c_7441,plain,
cyclic(A,B,C,D),
inference(resolve,[status(thm)],[c_5683,c_16007]) ).
cnf(c_7462,plain,
( eqangle(A,D,C,D,C,D,C,B)
| ~ para(A,B,C,D) ),
inference(resolve,[status(thm)],[c_7441,c_233]) ).
cnf(c_7734,plain,
perp(sK7,A,A,sK7),
inference(resolve,[status(thm)],[c_5827,c_274]) ).
cnf(c_8680,plain,
perp(sK3,A,A,sK3),
inference(resolve,[status(thm)],[c_6617,c_274]) ).
cnf(c_8682,plain,
( cong(B,A,sK3,A)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_6617,c_234]) ).
cnf(c_8693,plain,
eqangle(sK3,A,sK3,sK3,B,sK3,B,sK3),
inference(resolve,[status(thm)],[c_8680,c_6668]) ).
cnf(c_8702,plain,
( cong(B,sK3,B,A)
| ~ midp(sK3,sK3,A) ),
inference(resolve,[status(thm)],[c_6660,c_232]) ).
cnf(c_8792,plain,
perp(A,sK8,B,sK8),
inference(resolve,[status(thm)],[c_6911,c_275]) ).
cnf(c_8855,plain,
perp(sK6,A,A,sK6),
inference(resolve,[status(thm)],[c_7005,c_274]) ).
cnf(c_8938,plain,
perp(A,B,sK2,sK2),
inference(resolve,[status(thm)],[c_7213,c_274]) ).
cnf(c_16008,plain,
( para(A,B,C,D)
| ~ perp(A,B,sK2,sK2) ),
inference(resolve,[status(thm)],[c_7213,c_273]) ).
cnf(c_8939,plain,
para(A,B,C,D),
inference(resolve,[status(thm)],[c_8938,c_16008]) ).
cnf(c_8946,plain,
eqangle(A,B,C,B,C,B,C,D),
inference(resolve,[status(thm)],[c_8939,c_7462]) ).
cnf(c_8952,plain,
( midp(D,B,E)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_8939,c_3272]) ).
cnf(c_8955,plain,
eqangle(A,B,C,D,E,F,C,D),
inference(resolve,[status(thm)],[c_8939,c_243]) ).
cnf(c_9055,plain,
perp(sK7,A,sK7,A),
inference(resolve,[status(thm)],[c_7734,c_275]) ).
cnf(c_9325,plain,
( cong(B,A,B,sK8)
| ~ midp(sK8,A,sK8) ),
inference(resolve,[status(thm)],[c_8792,c_232]) ).
cnf(c_9341,plain,
perp(sK6,A,sK6,A),
inference(resolve,[status(thm)],[c_8855,c_275]) ).
cnf(c_9515,plain,
( cong(sK7,sK7,sK7,A)
| ~ midp(A,sK7,A) ),
inference(resolve,[status(thm)],[c_9055,c_232]) ).
cnf(c_9752,plain,
( cong(sK6,sK6,sK6,A)
| ~ midp(A,sK6,A) ),
inference(resolve,[status(thm)],[c_9341,c_232]) ).
cnf(c_10036,plain,
midp(sK7,A,A),
inference(resolve,[status(thm)],[c_2938,c_3913]) ).
cnf(c_10041,plain,
midp(A,sK7,A),
inference(resolve,[status(thm)],[c_3117,c_10036]) ).
cnf(c_10042,plain,
cong(sK7,sK7,sK7,A),
inference(resolve,[status(thm)],[c_10041,c_9515]) ).
cnf(c_16009,plain,
( ~ cong(sK7,sK7,sK7,A)
| midp(A,sK6,A) ),
inference(resolve,[status(thm)],[c_10042,c_3123]) ).
cnf(c_10058,plain,
midp(A,sK6,A),
inference(resolve,[status(thm)],[c_10042,c_16009]) ).
cnf(c_10060,plain,
cong(sK6,sK6,sK6,A),
inference(resolve,[status(thm)],[c_10058,c_9752]) ).
cnf(c_10079,plain,
midp(sK7,A,sK7),
inference(resolve,[status(thm)],[c_10060,c_3910]) ).
cnf(c_10203,plain,
midp(A,B,A),
inference(resolve,[status(thm)],[c_10079,c_3117]) ).
cnf(c_10214,plain,
cong(A,B,A,sK8),
inference(resolve,[status(thm)],[c_10203,c_9325]) ).
cnf(c_10575,plain,
midp(A,B,B),
inference(resolve,[status(thm)],[c_10203,c_2938]) ).
cnf(c_10581,plain,
midp(A,A,B),
inference(resolve,[status(thm)],[c_10203,c_271]) ).
cnf(c_10620,plain,
cong(A,B,sK3,B),
inference(resolve,[status(thm)],[c_10575,c_8682]) ).
cnf(c_10682,plain,
cong(A,sK3,A,B),
inference(resolve,[status(thm)],[c_10581,c_8702]) ).
cnf(c_16010,plain,
( perp(sK3,A,A,B)
| ~ cong(A,B,sK3,B) ),
inference(resolve,[status(thm)],[c_10620,c_7406]) ).
cnf(c_10691,plain,
perp(sK3,A,A,B),
inference(resolve,[status(thm)],[c_10620,c_16010]) ).
cnf(c_11608,plain,
eqangle(A,B,B,sK8,B,sK8,A,sK8),
inference(resolve,[status(thm)],[c_10214,c_236]) ).
cnf(c_12092,plain,
eqangle(A,sK3,sK3,B,sK3,B,A,B),
inference(resolve,[status(thm)],[c_10682,c_236]) ).
cnf(c_16011,plain,
( cong(sK3,A,sK3,B)
| ~ midp(A,A,B) ),
inference(resolve,[status(thm)],[c_10691,c_232]) ).
cnf(c_12148,plain,
cong(sK3,A,sK3,B),
inference(resolve,[status(thm)],[c_10581,c_16011]) ).
cnf(c_16012,plain,
( ~ cong(sK3,D,sK3,B)
| eqangle(D,B,D,C,sK3,B,sK3,A)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_12148,c_174]) ).
cnf(c_12730,plain,
( eqangle(D,B,D,C,sK3,B,sK3,A)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_12148,c_16012]) ).
cnf(c_12933,plain,
midp(A,B,C),
inference(resolve,[status(thm)],[c_8952,c_10581]) ).
cnf(c_13056,plain,
eqangle(A,B,A,C,sK3,B,sK3,D),
inference(resolve,[status(thm)],[c_12933,c_12730]) ).
cnf(c_13583,plain,
( eqangle(E,F,E,F,A,B,C,D)
| ~ eqangle(sK6,sK7,sK7,sK6,A,B,C,D) ),
inference(resolve,[status(thm)],[c_2867,c_261]) ).
cnf(c_14255,plain,
( eqangle(sK3,F,sK3,A,B,C,D,E)
| ~ eqangle(sK3,sK3,sK3,A,B,C,D,E) ),
inference(resolve,[status(thm)],[c_6683,c_261]) ).
cnf(c_14452,plain,
( eqangle(sK3,B,A,B,C,D,E,F)
| ~ eqangle(A,B,A,sK3,C,D,E,F) ),
inference(resolve,[status(thm)],[c_7240,c_261]) ).
cnf(c_14606,plain,
( eqangle(F,A,F,sK3,B,C,D,E)
| ~ eqangle(sK3,A,sK3,sK3,B,C,D,E) ),
inference(resolve,[status(thm)],[c_7417,c_261]) ).
cnf(c_15254,plain,
( eqangle(sK3,F,sK3,sK3,B,C,D,E)
| ~ eqangle(A,sK3,A,sK3,B,C,D,E) ),
inference(resolve,[status(thm)],[c_8693,c_261]) ).
cnf(c_15349,plain,
( eqangle(V7,B,A,B,D,E,F,V6)
| ~ eqangle(A,B,A,C,D,E,F,V6) ),
inference(resolve,[status(thm)],[c_8946,c_261]) ).
cnf(c_15397,plain,
eqangle(sK6,sK7,sK7,sK6,A,B,C,D),
inference(resolve,[status(thm)],[c_2871,c_8955]) ).
cnf(c_15398,plain,
eqangle(A,B,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_15397,c_13583]) ).
cnf(c_15401,plain,
eqangle(sK3,A,sK3,sK3,B,C,D,E),
inference(resolve,[status(thm)],[c_15398,c_15254]) ).
cnf(c_15433,plain,
eqangle(A,B,A,sK3,C,D,E,F),
inference(resolve,[status(thm)],[c_15401,c_14606]) ).
cnf(c_15463,plain,
eqangle(sK3,A,B,A,C,D,E,F),
inference(resolve,[status(thm)],[c_15433,c_14452]) ).
cnf(c_15598,plain,
( eqangle(B,A,A,sK8,C,D,E,F)
| ~ eqangle(A,sK8,B,sK8,C,D,E,F) ),
inference(resolve,[status(thm)],[c_11608,c_261]) ).
cnf(c_16013,plain,
( eqangle(B,sK3,sK3,A,C,D,E,F)
| ~ eqangle(sK3,A,B,A,C,D,E,F) ),
inference(resolve,[status(thm)],[c_12092,c_261]) ).
cnf(c_15677,plain,
eqangle(A,sK3,sK3,B,C,D,E,F),
inference(resolve,[status(thm)],[c_15463,c_16013]) ).
cnf(c_15681,plain,
eqangle(sK3,A,sK3,B,C,D,E,F),
inference(resolve,[status(thm)],[c_15677,c_14255]) ).
cnf(c_16014,plain,
( eqangle(V6,A,V6,V7,C,D,E,F)
| ~ eqangle(sK3,A,sK3,B,C,D,E,F) ),
inference(resolve,[status(thm)],[c_13056,c_261]) ).
cnf(c_15969,plain,
eqangle(A,B,A,C,D,E,F,V6),
inference(resolve,[status(thm)],[c_15681,c_16014]) ).
cnf(c_15970,plain,
eqangle(A,B,C,B,D,E,F,V6),
inference(resolve,[status(thm)],[c_15969,c_15349]) ).
cnf(c_15981,plain,
eqangle(A,B,B,sK8,C,D,E,F),
inference(resolve,[status(thm)],[c_15970,c_15598]) ).
cnf(c_16015,negated_conjecture,
( ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK5,sK5,sK4)
| ~ eqangle(sK7,sK6,sK6,sK8,sK5,sK7,sK7,sK4)
| ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK4,sK4,sK5) ),
inference(resolve,[status(thm)],[c_15981,c_178]) ).
cnf(c_16016,negated_conjecture,
( ~ eqangle(sK7,sK6,sK6,sK8,sK7,sK5,sK5,sK4)
| ~ eqangle(sK7,sK6,sK6,sK8,sK5,sK7,sK7,sK4) ),
inference(resolve,[status(thm)],[c_15981,c_16015]) ).
cnf(c_16017,negated_conjecture,
~ eqangle(sK7,sK6,sK6,sK8,sK7,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_15981,c_16016]) ).
cnf(c_15984,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_15981,c_16017]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO610+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.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 13:43:40 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 546859 was started by sandbox2 on n013,
% 0.08/0.35 % Fri Sep 25 13:43:40 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.39
% 0.08/0.39 % From the command line: assign(max_seconds, 300).
% 33.16/5.24
% 33.16/5.24 % given #500 (A,wt=24): 416 -perp(A,B,f12(c1,c5,c8,c4),c1) | para(A,B,c1,c4). [resolve(273,b,116,a)].
% 33.16/5.24
% 33.16/5.24 % given #1000 (T,wt=13): 1054 -coll(c6,c5,A) | coll(c6,A,c6). [resolve(1036,a,279,a)].
% 33.16/5.24
% 33.16/5.24 % given #1500 (A,wt=34): 1013 -midp(c5,c6,A) | -para(c6,c5,A,B) | -coll(c5,B,c6) | coll(f8(c6,A,C,c5,B,c6,c5),c6,B). [resolve(986,a,198,b)].
% 33.16/5.24
% 33.16/5.24 % given #2000 (T,wt=10): 5193 cyclic(c1,c1,A,B). [resolve(3973,a,266,b),unit_del(a,3973)].
% 33.16/5.24
% 33.16/5.24 % given #2500 (A,wt=19): 1898 perp(c1,f11(c3,c1,c2,c2),c2,c3). [resolve(1816,a,190,b),unit_del(a,1886)].
% 33.16/5.24
% 33.16/5.24 % given #3000 (T,wt=14): 2863 eqangle(c5,c7,c3,c2,A,B,A,B). [resolve(2098,a,262,a)].
% 33.16/5.24
% 33.16/5.24 % given #3500 (A,wt=16): 2972 coll(c7,c5,A) | simtri(c7,c5,A,c7,c5,A). [back_unit_del(2618),unit_del(a,2945)].
% 33.16/5.24
% 33.16/5.24 % SZS status Theorem for theBenchmark
% 33.16/5.24
% 33.16/5.24 % Proof 1 at 3.52 (+ 1.25) seconds.
% 33.16/5.24 % Length of proof is 331.
% 33.16/5.24 % Level of proof is 33.
% 33.16/5.24 % Maximum clause weight is 41.000.
% 33.16/5.24 % Given clauses 3512.
% 33.16/5.24
% 33.16/5.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------