%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO597+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:18:11 AM UTC 2026
% Result : Theorem 167.97s 22.74s
% Output : CNFRefutation 167.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 44
% Syntax : Number of formulae : 403 ( 203 unt; 0 def)
% Number of atoms : 710 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 531 ( 224 ~; 220 |; 42 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 766 ( 116 sgn 222 !; 9 ?)
% 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(ruleD18,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(B,A,C,D,P,Q,U,V) ),
file('theBenchmark.p',ruleD18) ).
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(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
file('theBenchmark.p',ruleD24) ).
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(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(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(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(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(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(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(exemplo6GDDFULL416059,conjecture,
! [A,B,C,O,M,N,NWPNT1] :
( ( circle(O,A,N,NWPNT1)
& coll(N,O,M)
& midp(M,B,A)
& circle(O,A,B,C) )
=> eqangle(A,C,C,N,N,C,C,B) ),
file('theBenchmark.p',exemplo6GDDFULL416059) ).
fof(exemplo6GDDFULL416059_neg,negated_conjecture,
~ ! [A,B,C,O,M,N,NWPNT1] :
( ( circle(O,A,N,NWPNT1)
& coll(N,O,M)
& midp(M,B,A)
& circle(O,A,B,C) )
=> eqangle(A,C,C,N,N,C,C,B) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416059]) ).
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_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]) ).
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(sK0(A,B,C,D),A,B,C)
| ~ cyclic(A,B,C,D)
| ~ perp(A,C,C,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(O,sK0(A,B,C,D))],[nnf_90]) ).
cnf(c_108,plain,
( circle(sK0(A,C,B,D),A,C,B)
| ~ cyclic(A,C,B,D)
| ~ perp(A,B,B,C) ),
inference(split_conjunct,[status(thm)],[sk_ruleX14]) ).
cnf(c_139,plain,
( eqangle(A,E,A,C,B,A,B,C)
| ~ perp(sK0(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_172,plain,
( ~ cong(A,B,A,C)
| ~ cong(A,B,A,D)
| perp(B,D,D,C)
| ~ coll(A,B,C) ),
inference(resolve,[status(thm)],[c_101,c_97]) ).
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]) ).
fof(nnf_95,plain,
? [A,B,C,O,M,N,NWPNT1] :
( ~ eqangle(A,C,C,N,N,C,C,B)
& circle(O,A,N,NWPNT1)
& coll(N,O,M)
& midp(M,B,A)
& circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL416059_neg]) ).
fof(sk_exemplo6GDDFULL416059_neg,plain,
( ~ eqangle(sK1,sK2,sK2,sK3,sK3,sK2,sK2,sK4)
& circle(sK6,sK1,sK3,sK7)
& coll(sK3,sK6,sK5)
& midp(sK5,sK4,sK1)
& circle(sK6,sK1,sK4,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK1,sK4,sK2,sK5,sK3,sK7]),skolemize(A,sK1),skolemize(B,sK4),skolemize(C,sK2),skolemize(O,sK6),skolemize(M,sK5),skolemize(N,sK3),skolemize(NWPNT1,sK7)],[nnf_95]) ).
cnf(c_177,negated_conjecture,
~ eqangle(sK1,sK2,sK2,sK3,sK3,sK2,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416059_neg]) ).
cnf(c_179,negated_conjecture,
midp(sK5,sK4,sK1),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416059_neg]) ).
cnf(c_215,plain,
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD69]) ).
cnf(c_216,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_217,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_218,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_220,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_221,plain,
( para(B,D,C,E)
| ~ midp(A,D,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD63]) ).
cnf(c_227,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_228,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_229,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_231,plain,
( cong(A,D,B,D)
| ~ midp(D,A,C)
| ~ perp(A,B,B,C) ),
inference(clausify,[status(thm)],[ruleD52]) ).
cnf(c_233,plain,
( eqangle(A,B,B,C,B,C,A,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD46]) ).
cnf(c_234,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_235,plain,
( para(A,D,C,E)
| ~ midp(D,B,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD44]) ).
cnf(c_236,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_237,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_239,plain,
( eqangle(C,A,C,B,D,A,D,B)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD41]) ).
cnf(c_240,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_241,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_256,plain,
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD24]) ).
cnf(c_257,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_258,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_259,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_261,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_262,plain,
( eqangle(B,A,C,D,E,F,V6,V7)
| ~ eqangle(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD18]) ).
cnf(c_263,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_264,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_265,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_266,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_267,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_268,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_270,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_271,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_272,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_274,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_275,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_276,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_277,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_278,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_293,plain,
( ~ cong(A,B,A,C)
| perp(B,C,C,C)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_172]) ).
cnf(c_318,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_220]) ).
cnf(c_319,plain,
( para(B,B,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_221]) ).
cnf(c_321,plain,
( perp(B,A,A,B)
| ~ cyclic(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_227]) ).
cnf(c_322,plain,
( perp(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_228]) ).
cnf(c_323,plain,
( para(A,A,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_235]) ).
cnf(c_325,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_236]) ).
cnf(c_326,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_236]) ).
cnf(c_327,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_263]) ).
cnf(c_328,plain,
( cyclic(B,C,C,D)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_267]) ).
cnf(c_331,plain,
( para(A,B,A,B)
| ~ perp(A,B,A,B) ),
inference(factor,[status(thm)],[c_270]) ).
cnf(c_332,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_276]) ).
cnf(c_341,plain,
( cyclic(B,C,C,C)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_328]) ).
cnf(c_391,plain,
coll(sK5,sK4,sK1),
inference(resolve,[status(thm)],[c_215,c_179]) ).
cnf(c_392,plain,
cong(sK5,sK4,sK5,sK1),
inference(resolve,[status(thm)],[c_216,c_179]) ).
cnf(c_393,plain,
( para(sK4,A,sK1,B)
| ~ midp(sK5,A,B) ),
inference(resolve,[status(thm)],[c_221,c_179]) ).
cnf(c_394,plain,
( para(A,sK4,B,sK1)
| ~ midp(sK5,A,B) ),
inference(resolve,[status(thm)],[c_221,c_179]) ).
cnf(c_400,plain,
( para(A,sK5,B,sK1)
| ~ midp(A,sK4,B) ),
inference(resolve,[status(thm)],[c_235,c_179]) ).
cnf(c_401,plain,
midp(sK5,sK1,sK4),
inference(resolve,[status(thm)],[c_268,c_179]) ).
cnf(c_422,plain,
coll(sK1,sK1,sK5),
inference(resolve,[status(thm)],[c_391,c_332]) ).
cnf(c_423,plain,
coll(sK5,sK1,sK4),
inference(resolve,[status(thm)],[c_391,c_278]) ).
cnf(c_424,plain,
coll(sK4,sK5,sK1),
inference(resolve,[status(thm)],[c_391,c_277]) ).
cnf(c_435,plain,
( para(A,sK5,B,sK4)
| ~ midp(A,sK1,B) ),
inference(resolve,[status(thm)],[c_401,c_235]) ).
cnf(c_436,plain,
( para(sK5,A,sK4,B)
| ~ midp(A,sK1,B) ),
inference(resolve,[status(thm)],[c_401,c_235]) ).
cnf(c_439,plain,
cong(sK5,sK1,sK5,sK4),
inference(resolve,[status(thm)],[c_401,c_216]) ).
cnf(c_462,plain,
coll(sK5,sK5,sK1),
inference(resolve,[status(thm)],[c_422,c_332]) ).
cnf(c_463,plain,
coll(sK1,sK5,sK1),
inference(resolve,[status(thm)],[c_422,c_278]) ).
cnf(c_466,plain,
coll(sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_423,c_332]) ).
cnf(c_467,plain,
coll(sK1,sK5,sK4),
inference(resolve,[status(thm)],[c_423,c_277]) ).
cnf(c_470,plain,
coll(sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_424,c_332]) ).
cnf(c_495,plain,
coll(sK5,sK1,sK5),
inference(resolve,[status(thm)],[c_462,c_278]) ).
cnf(c_498,plain,
coll(sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_463,c_332]) ).
cnf(c_499,plain,
coll(sK5,sK1,sK1),
inference(resolve,[status(thm)],[c_463,c_277]) ).
cnf(c_502,plain,
coll(sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_466,c_332]) ).
cnf(c_506,plain,
coll(sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_467,c_332]) ).
cnf(c_511,plain,
coll(sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_470,c_278]) ).
cnf(c_539,plain,
coll(sK1,sK5,sK5),
inference(resolve,[status(thm)],[c_495,c_277]) ).
cnf(c_545,plain,
coll(sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_502,c_278]) ).
cnf(c_558,plain,
coll(sK4,sK1,sK1),
inference(resolve,[status(thm)],[c_511,c_277]) ).
cnf(c_577,plain,
coll(sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_545,c_277]) ).
cnf(c_596,plain,
cyclic(sK4,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_392,c_341]) ).
cnf(c_20442,plain,
( perp(sK4,sK1,sK1,sK1)
| ~ coll(sK5,sK4,sK1) ),
inference(resolve,[status(thm)],[c_392,c_293]) ).
cnf(c_612,plain,
perp(sK4,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_391,c_20442]) ).
cnf(c_733,plain,
cyclic(sK1,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_439,c_341]) ).
cnf(c_20443,plain,
( perp(sK1,sK4,sK4,sK4)
| ~ coll(sK5,sK1,sK4) ),
inference(resolve,[status(thm)],[c_439,c_293]) ).
cnf(c_749,plain,
perp(sK1,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_423,c_20443]) ).
cnf(c_790,plain,
cong(sK5,sK1,sK4,sK5),
inference(resolve,[status(thm)],[c_439,c_257]) ).
cnf(c_822,plain,
cyclic(sK1,sK4,sK1,sK1),
inference(resolve,[status(thm)],[c_596,c_264]) ).
cnf(c_825,plain,
eqangle(sK1,sK4,sK1,sK1,sK1,sK4,sK1,sK1),
inference(resolve,[status(thm)],[c_596,c_239]) ).
cnf(c_841,plain,
perp(sK1,sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_612,c_271]) ).
cnf(c_894,plain,
cyclic(sK4,sK1,sK4,sK4),
inference(resolve,[status(thm)],[c_733,c_264]) ).
cnf(c_917,plain,
( cong(sK1,sK4,sK1,sK4)
| ~ midp(sK4,sK4,sK4) ),
inference(resolve,[status(thm)],[c_749,c_229]) ).
cnf(c_935,plain,
cong(sK4,sK5,sK5,sK1),
inference(resolve,[status(thm)],[c_790,c_256]) ).
cnf(c_956,plain,
cyclic(sK1,sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_822,c_265]) ).
cnf(c_976,plain,
perp(sK1,sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_841,c_272]) ).
cnf(c_1010,plain,
cyclic(sK4,sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_894,c_265]) ).
cnf(c_1043,plain,
cong(sK4,sK5,sK1,sK5),
inference(resolve,[status(thm)],[c_935,c_257]) ).
cnf(c_1046,plain,
cyclic(sK1,sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_956,c_266]) ).
cnf(c_1068,plain,
perp(sK1,sK4,sK1,sK1),
inference(resolve,[status(thm)],[c_976,c_271]) ).
cnf(c_1089,plain,
cyclic(sK4,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_1010,c_266]) ).
cnf(c_1127,plain,
perp(sK4,sK1,sK5,sK5),
inference(resolve,[status(thm)],[c_1043,c_322]) ).
cnf(c_1132,plain,
cyclic(sK1,sK1,sK4,sK4),
inference(resolve,[status(thm)],[c_1046,c_327]) ).
cnf(c_1135,plain,
( cyclic(sK1,sK1,sK4,A)
| ~ cyclic(sK1,sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_1046,c_263]) ).
cnf(c_1159,plain,
( cong(sK1,sK1,sK1,sK1)
| ~ midp(sK4,sK1,sK1) ),
inference(resolve,[status(thm)],[c_1068,c_229]) ).
cnf(c_1178,plain,
cyclic(sK4,sK4,sK1,sK1),
inference(resolve,[status(thm)],[c_1089,c_327]) ).
cnf(c_1213,plain,
( cong(sK4,sK5,sK4,sK5)
| ~ midp(sK1,sK5,sK5) ),
inference(resolve,[status(thm)],[c_1127,c_229]) ).
cnf(c_1224,plain,
( perp(sK4,sK1,sK1,sK4)
| ~ cong(sK1,sK4,sK1,sK4) ),
inference(resolve,[status(thm)],[c_1132,c_321]) ).
cnf(c_1225,plain,
cyclic(sK1,sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_1132,c_265]) ).
cnf(c_1256,plain,
( perp(sK1,sK4,sK4,sK1)
| ~ cong(sK4,sK1,sK4,sK1) ),
inference(resolve,[status(thm)],[c_1178,c_321]) ).
cnf(c_1289,plain,
cyclic(sK4,sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_1225,c_264]) ).
cnf(c_1580,plain,
para(sK4,sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_393,c_401]) ).
cnf(c_1593,plain,
para(sK4,sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_1580,c_275]) ).
cnf(c_1594,plain,
para(sK1,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_1580,c_274]) ).
cnf(c_1625,plain,
eqangle(sK4,sK1,A,B,sK4,sK1,A,B),
inference(resolve,[status(thm)],[c_1593,c_240]) ).
cnf(c_1638,plain,
para(sK1,sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_1594,c_275]) ).
cnf(c_1658,plain,
( midp(A,sK4,sK4)
| ~ midp(A,sK1,sK1) ),
inference(resolve,[status(thm)],[c_1638,c_318]) ).
cnf(c_1661,plain,
eqangle(sK1,sK4,A,B,sK1,sK4,A,B),
inference(resolve,[status(thm)],[c_1638,c_240]) ).
cnf(c_20444,plain,
( cong(sK4,sK1,sK4,sK1)
| ~ cyclic(sK4,sK1,sK1,sK1)
| ~ cyclic(sK4,sK1,sK1,sK4) ),
inference(resolve,[status(thm)],[c_825,c_326]) ).
cnf(c_20445,plain,
( cong(sK4,sK1,sK4,sK1)
| ~ cyclic(sK4,sK1,sK1,sK1) ),
inference(resolve,[status(thm)],[c_1289,c_20444]) ).
cnf(c_1706,plain,
cong(sK4,sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_596,c_20445]) ).
cnf(c_1709,plain,
perp(sK1,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_1706,c_1256]) ).
cnf(c_20446,plain,
( midp(sK4,sK1,sK1)
| ~ coll(sK4,sK1,sK1) ),
inference(resolve,[status(thm)],[c_1706,c_217]) ).
cnf(c_1787,plain,
midp(sK4,sK1,sK1),
inference(resolve,[status(thm)],[c_558,c_20446]) ).
cnf(c_1826,plain,
cong(sK1,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_1787,c_1159]) ).
cnf(c_1830,plain,
midp(sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_1787,c_1658]) ).
cnf(c_1834,plain,
para(sK1,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_1787,c_319]) ).
cnf(c_1853,plain,
cong(sK1,sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_1830,c_917]) ).
cnf(c_1862,plain,
perp(sK4,sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_1853,c_1224]) ).
cnf(c_1879,plain,
para(sK4,sK5,sK4,sK1),
inference(resolve,[status(thm)],[c_1830,c_400]) ).
cnf(c_1882,plain,
para(sK4,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_1830,c_323]) ).
cnf(c_1914,plain,
perp(sK1,sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_1709,c_272]) ).
cnf(c_20447,plain,
( midp(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1) ),
inference(resolve,[status(thm)],[c_1826,c_217]) ).
cnf(c_2021,plain,
midp(sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_498,c_20447]) ).
cnf(c_2044,plain,
midp(sK1,sK4,sK4),
inference(resolve,[status(thm)],[c_2021,c_1658]) ).
cnf(c_2046,plain,
para(sK1,sK5,sK1,sK4),
inference(resolve,[status(thm)],[c_2021,c_435]) ).
cnf(c_2131,plain,
eqangle(sK1,sK1,A,B,sK1,sK1,A,B),
inference(resolve,[status(thm)],[c_1834,c_240]) ).
cnf(c_2232,plain,
perp(sK4,sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_1862,c_272]) ).
cnf(c_2257,plain,
para(sK4,sK1,sK4,sK5),
inference(resolve,[status(thm)],[c_1879,c_274]) ).
cnf(c_20448,plain,
( midp(A,sK1,sK5)
| ~ para(sK4,sK1,sK4,sK5)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_1879,c_220]) ).
cnf(c_2263,plain,
( midp(A,sK1,sK5)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_2257,c_20448]) ).
cnf(c_2294,plain,
eqangle(sK4,sK4,A,B,sK4,sK4,A,B),
inference(resolve,[status(thm)],[c_1882,c_240]) ).
cnf(c_2384,plain,
( cong(sK1,sK1,sK1,sK4)
| ~ midp(sK4,sK1,sK4) ),
inference(resolve,[status(thm)],[c_1914,c_229]) ).
cnf(c_2412,plain,
para(sK1,sK4,sK1,sK5),
inference(resolve,[status(thm)],[c_2046,c_274]) ).
cnf(c_20449,plain,
( midp(A,sK4,sK5)
| ~ para(sK1,sK4,sK1,sK5)
| ~ midp(A,sK1,sK1) ),
inference(resolve,[status(thm)],[c_2046,c_220]) ).
cnf(c_2418,plain,
( midp(A,sK4,sK5)
| ~ midp(A,sK1,sK1) ),
inference(resolve,[status(thm)],[c_2412,c_20449]) ).
cnf(c_2523,plain,
( cong(sK4,sK4,sK4,sK1)
| ~ midp(sK1,sK4,sK1) ),
inference(resolve,[status(thm)],[c_2232,c_229]) ).
cnf(c_2620,plain,
midp(sK1,sK1,sK5),
inference(resolve,[status(thm)],[c_2263,c_2044]) ).
cnf(c_2621,plain,
midp(sK4,sK1,sK5),
inference(resolve,[status(thm)],[c_2263,c_1830]) ).
cnf(c_2626,plain,
para(sK5,sK1,sK4,sK5),
inference(resolve,[status(thm)],[c_2620,c_436]) ).
cnf(c_2634,plain,
midp(sK1,sK5,sK1),
inference(resolve,[status(thm)],[c_2620,c_268]) ).
cnf(c_2639,plain,
cong(sK1,sK1,sK1,sK5),
inference(resolve,[status(thm)],[c_2620,c_216]) ).
cnf(c_2653,plain,
para(sK4,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_2621,c_435]) ).
cnf(c_2690,plain,
cong(sK1,sK5,sK1,sK1),
inference(resolve,[status(thm)],[c_2634,c_216]) ).
cnf(c_2724,plain,
para(sK5,sK1,sK5,sK4),
inference(resolve,[status(thm)],[c_2626,c_275]) ).
cnf(c_2760,plain,
cyclic(sK1,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_2639,c_341]) ).
cnf(c_2817,plain,
cong(sK1,sK1,sK5,sK1),
inference(resolve,[status(thm)],[c_2639,c_257]) ).
cnf(c_2863,plain,
para(sK4,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_2653,c_275]) ).
cnf(c_2956,plain,
cyclic(sK5,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_2690,c_341]) ).
cnf(c_20450,plain,
( perp(sK5,sK1,sK1,sK1)
| ~ coll(sK1,sK5,sK1) ),
inference(resolve,[status(thm)],[c_2690,c_293]) ).
cnf(c_2972,plain,
perp(sK5,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_463,c_20450]) ).
cnf(c_3121,plain,
para(sK5,sK4,sK5,sK1),
inference(resolve,[status(thm)],[c_2724,c_274]) ).
cnf(c_3125,plain,
eqangle(sK5,sK1,A,B,sK5,sK4,A,B),
inference(resolve,[status(thm)],[c_2724,c_240]) ).
cnf(c_20451,plain,
( midp(A,sK4,sK1)
| ~ para(sK5,sK4,sK5,sK1)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_2724,c_220]) ).
cnf(c_3127,plain,
( midp(A,sK4,sK1)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_3121,c_20451]) ).
cnf(c_3188,plain,
cyclic(sK5,sK1,sK5,sK5),
inference(resolve,[status(thm)],[c_2760,c_264]) ).
cnf(c_3190,plain,
( cyclic(sK5,sK5,sK5,A)
| ~ cyclic(sK1,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_2760,c_263]) ).
cnf(c_3230,plain,
cong(sK5,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_2817,c_256]) ).
cnf(c_3250,plain,
eqangle(sK4,sK5,A,B,sK4,sK5,A,B),
inference(resolve,[status(thm)],[c_2863,c_240]) ).
cnf(c_20452,plain,
( perp(sK1,sK5,sK5,sK1)
| ~ cong(sK5,sK1,sK1,sK1) ),
inference(resolve,[status(thm)],[c_2956,c_321]) ).
cnf(c_3262,plain,
perp(sK1,sK5,sK5,sK1),
inference(resolve,[status(thm)],[c_3230,c_20452]) ).
cnf(c_3265,plain,
( cyclic(sK1,sK1,sK1,A)
| ~ cyclic(sK5,sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_2956,c_263]) ).
cnf(c_20453,plain,
( cong(sK5,sK1,sK5,sK1)
| ~ midp(sK1,sK1,sK1) ),
inference(resolve,[status(thm)],[c_2972,c_229]) ).
cnf(c_3286,plain,
cong(sK5,sK1,sK5,sK1),
inference(resolve,[status(thm)],[c_2021,c_20453]) ).
cnf(c_3354,plain,
cyclic(sK5,sK5,sK1,sK5),
inference(resolve,[status(thm)],[c_3188,c_265]) ).
cnf(c_3406,plain,
perp(sK1,sK5,sK1,sK5),
inference(resolve,[status(thm)],[c_3262,c_272]) ).
cnf(c_3407,plain,
perp(sK5,sK1,sK1,sK5),
inference(resolve,[status(thm)],[c_3262,c_271]) ).
cnf(c_3506,plain,
cong(sK5,sK1,sK1,sK5),
inference(resolve,[status(thm)],[c_3286,c_257]) ).
cnf(c_20454,plain,
( midp(sK5,sK1,sK1)
| ~ coll(sK5,sK1,sK1) ),
inference(resolve,[status(thm)],[c_3286,c_217]) ).
cnf(c_3510,plain,
midp(sK5,sK1,sK1),
inference(resolve,[status(thm)],[c_499,c_20454]) ).
cnf(c_3543,plain,
midp(sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_3510,c_1658]) ).
cnf(c_3611,plain,
para(sK4,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_3543,c_394]) ).
cnf(c_3742,plain,
cyclic(sK5,sK5,sK5,sK1),
inference(resolve,[status(thm)],[c_3354,c_266]) ).
cnf(c_3805,plain,
para(sK1,sK5,sK1,sK5),
inference(resolve,[status(thm)],[c_3406,c_331]) ).
cnf(c_3817,plain,
perp(sK5,sK1,sK5,sK1),
inference(resolve,[status(thm)],[c_3407,c_272]) ).
cnf(c_3869,plain,
cong(sK1,sK5,sK5,sK1),
inference(resolve,[status(thm)],[c_3506,c_256]) ).
cnf(c_4009,plain,
eqangle(sK4,sK4,A,B,sK4,sK1,A,B),
inference(resolve,[status(thm)],[c_3611,c_240]) ).
cnf(c_4395,plain,
cyclic(sK5,sK5,sK1,sK1),
inference(resolve,[status(thm)],[c_3742,c_327]) ).
cnf(c_4443,plain,
eqangle(sK1,sK5,A,B,sK1,sK5,A,B),
inference(resolve,[status(thm)],[c_3805,c_240]) ).
cnf(c_4452,plain,
para(sK5,sK1,sK5,sK1),
inference(resolve,[status(thm)],[c_3817,c_331]) ).
cnf(c_4487,plain,
cong(sK1,sK5,sK1,sK5),
inference(resolve,[status(thm)],[c_3869,c_257]) ).
cnf(c_4608,plain,
cyclic(sK5,sK1,sK5,sK1),
inference(resolve,[status(thm)],[c_4395,c_265]) ).
cnf(c_4610,plain,
( cyclic(sK5,sK1,sK1,A)
| ~ cyclic(sK5,sK5,sK1,A) ),
inference(resolve,[status(thm)],[c_4395,c_263]) ).
cnf(c_4657,plain,
eqangle(sK5,sK1,A,B,sK5,sK1,A,B),
inference(resolve,[status(thm)],[c_4452,c_240]) ).
cnf(c_20455,plain,
( midp(sK1,sK5,sK5)
| ~ coll(sK1,sK5,sK5) ),
inference(resolve,[status(thm)],[c_4487,c_217]) ).
cnf(c_4742,plain,
midp(sK1,sK5,sK5),
inference(resolve,[status(thm)],[c_539,c_20455]) ).
cnf(c_4770,plain,
cong(sK4,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_4742,c_1213]) ).
cnf(c_4828,plain,
cyclic(sK1,sK5,sK5,sK1),
inference(resolve,[status(thm)],[c_4608,c_264]) ).
cnf(c_20456,plain,
( midp(sK4,sK5,sK5)
| ~ coll(sK4,sK5,sK5) ),
inference(resolve,[status(thm)],[c_4770,c_217]) ).
cnf(c_5037,plain,
midp(sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_577,c_20456]) ).
cnf(c_5103,plain,
( cyclic(sK5,sK5,A,sK1)
| ~ cyclic(sK1,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_4828,c_263]) ).
cnf(c_5104,plain,
( cyclic(sK5,sK5,sK1,A)
| ~ cyclic(sK1,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_4828,c_263]) ).
cnf(c_5121,plain,
midp(sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_2418,c_3510]) ).
cnf(c_5153,plain,
cong(sK5,sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_5121,c_216]) ).
cnf(c_5391,plain,
cyclic(sK4,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_5153,c_341]) ).
cnf(c_5937,plain,
cyclic(sK5,sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_5391,c_264]) ).
cnf(c_6051,plain,
cyclic(sK5,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_5937,c_265]) ).
cnf(c_6166,plain,
cyclic(sK5,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_6051,c_266]) ).
cnf(c_6270,plain,
cyclic(sK5,sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_6166,c_327]) ).
cnf(c_6273,plain,
( cyclic(sK5,sK5,sK4,A)
| ~ cyclic(sK5,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_6166,c_263]) ).
cnf(c_6338,plain,
( cyclic(sK5,sK4,sK4,A)
| ~ cyclic(sK5,sK5,sK4,A) ),
inference(resolve,[status(thm)],[c_6270,c_263]) ).
cnf(c_6468,plain,
midp(sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_3127,c_5037]) ).
cnf(c_6469,plain,
midp(sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_3127,c_4742]) ).
cnf(c_6481,plain,
cong(sK4,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_6469,c_2523]) ).
cnf(c_6502,plain,
midp(sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_6468,c_268]) ).
cnf(c_6521,plain,
cong(sK1,sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_6502,c_2384]) ).
cnf(c_6853,plain,
cong(sK1,sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_6521,c_257]) ).
cnf(c_7071,plain,
cong(sK4,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_6853,c_256]) ).
cnf(c_7250,plain,
eqangle(A,B,sK4,sK1,A,B,sK4,sK1),
inference(resolve,[status(thm)],[c_1625,c_261]) ).
cnf(c_7268,plain,
( cyclic(sK4,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_1661,c_237]) ).
cnf(c_7382,plain,
( cyclic(sK1,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_2131,c_237]) ).
cnf(c_7411,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_2294,c_325]) ).
cnf(c_7414,plain,
( cyclic(sK4,A,sK4,sK4)
| ~ coll(sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_2294,c_237]) ).
cnf(c_7567,plain,
( cong(sK1,A,sK4,A)
| ~ cyclic(sK1,A,sK5,sK5)
| ~ cyclic(sK1,A,sK5,A)
| ~ cyclic(sK1,A,sK5,sK4) ),
inference(resolve,[status(thm)],[c_3125,c_236]) ).
cnf(c_7604,plain,
( cyclic(sK5,A,sK4,sK4)
| ~ coll(sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_3250,c_237]) ).
cnf(c_7759,plain,
( cong(sK4,A,sK1,A)
| ~ cyclic(sK4,A,sK4,sK4)
| ~ cyclic(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK4,sK1) ),
inference(resolve,[status(thm)],[c_4009,c_236]) ).
cnf(c_7844,plain,
( cyclic(sK5,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_4443,c_237]) ).
cnf(c_7905,plain,
( cyclic(sK1,A,sK5,sK5)
| ~ coll(sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_4657,c_237]) ).
cnf(c_7906,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK5,sK5)
| ~ cyclic(sK1,A,sK5,A)
| ~ cyclic(sK1,A,sK5,sK1) ),
inference(resolve,[status(thm)],[c_4657,c_236]) ).
cnf(c_8319,plain,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_7250,c_241]) ).
cnf(c_20457,plain,
( cyclic(A,sK1,sK4,sK4)
| ~ coll(sK4,sK4,sK1) ),
inference(resolve,[status(thm)],[c_7250,c_237]) ).
cnf(c_8321,plain,
cyclic(A,sK1,sK4,sK4),
inference(resolve,[status(thm)],[c_506,c_20457]) ).
cnf(c_20458,plain,
( ~ cong(sK4,sK4,sK4,sK1)
| ~ cong(sK4,sK4,sK4,A)
| midp(sK1,A,sK1)
| ~ coll(sK1,A,sK1) ),
inference(resolve,[status(thm)],[c_7250,c_173]) ).
cnf(c_8326,plain,
( ~ cong(sK4,sK4,sK4,A)
| midp(sK1,A,sK1)
| ~ coll(sK1,A,sK1) ),
inference(resolve,[status(thm)],[c_6481,c_20458]) ).
cnf(c_8329,plain,
( midp(A,C,C)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_8319,c_318]) ).
cnf(c_8337,plain,
( midp(C,B,C)
| ~ coll(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_8319,c_234]) ).
cnf(c_8339,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_8319,c_218]) ).
cnf(c_8502,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_8339,c_332]) ).
cnf(c_8503,plain,
coll(A,B,A),
inference(resolve,[status(thm)],[c_8339,c_277]) ).
cnf(c_8510,plain,
cyclic(sK1,A,sK5,sK5),
inference(resolve,[status(thm)],[c_8502,c_7905]) ).
cnf(c_8511,plain,
cyclic(sK5,A,sK1,sK1),
inference(resolve,[status(thm)],[c_8502,c_7844]) ).
cnf(c_8513,plain,
cyclic(sK5,A,sK4,sK4),
inference(resolve,[status(thm)],[c_8502,c_7604]) ).
cnf(c_8515,plain,
cyclic(sK4,A,sK4,sK4),
inference(resolve,[status(thm)],[c_8502,c_7414]) ).
cnf(c_8516,plain,
cyclic(sK1,A,sK1,sK1),
inference(resolve,[status(thm)],[c_8502,c_7382]) ).
cnf(c_8517,plain,
cyclic(sK4,A,sK1,sK1),
inference(resolve,[status(thm)],[c_8502,c_7268]) ).
cnf(c_8599,plain,
( midp(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_8503,c_8337]) ).
cnf(c_8600,plain,
( ~ cong(sK4,sK4,sK4,A)
| midp(sK1,A,sK1) ),
inference(resolve,[status(thm)],[c_8503,c_8326]) ).
cnf(c_8656,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK5,A)
| ~ cyclic(sK1,A,sK5,sK1) ),
inference(resolve,[status(thm)],[c_8510,c_7906]) ).
cnf(c_8657,plain,
( cong(sK1,A,sK4,A)
| ~ cyclic(sK1,A,sK5,A)
| ~ cyclic(sK1,A,sK5,sK4) ),
inference(resolve,[status(thm)],[c_8510,c_7567]) ).
cnf(c_8671,plain,
( cong(sK4,A,sK1,A)
| ~ cyclic(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK4,sK1) ),
inference(resolve,[status(thm)],[c_8515,c_7759]) ).
cnf(c_8672,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK4,A) ),
inference(resolve,[status(thm)],[c_8515,c_7411]) ).
cnf(c_9036,plain,
cyclic(A,sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_8321,c_265]) ).
cnf(c_9054,plain,
cyclic(sK1,sK5,A,sK5),
inference(resolve,[status(thm)],[c_8510,c_265]) ).
cnf(c_9070,plain,
cyclic(sK5,sK1,A,sK1),
inference(resolve,[status(thm)],[c_8511,c_265]) ).
cnf(c_9073,plain,
( cyclic(A,sK1,sK1,B)
| ~ cyclic(sK5,A,sK1,B) ),
inference(resolve,[status(thm)],[c_8511,c_263]) ).
cnf(c_9099,plain,
cyclic(sK5,sK4,A,sK4),
inference(resolve,[status(thm)],[c_8513,c_265]) ).
cnf(c_9143,plain,
( cyclic(A,sK1,B,sK1)
| ~ cyclic(sK1,A,sK1,B) ),
inference(resolve,[status(thm)],[c_8516,c_263]) ).
cnf(c_9155,plain,
cyclic(sK4,sK1,A,sK1),
inference(resolve,[status(thm)],[c_8517,c_265]) ).
cnf(c_9216,plain,
cyclic(A,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_9036,c_266]) ).
cnf(c_9245,plain,
cyclic(sK1,sK5,sK5,A),
inference(resolve,[status(thm)],[c_9054,c_266]) ).
cnf(c_9246,plain,
cyclic(sK5,sK1,A,sK5),
inference(resolve,[status(thm)],[c_9054,c_264]) ).
cnf(c_9263,plain,
cyclic(sK5,sK5,sK1,A),
inference(resolve,[status(thm)],[c_9245,c_5104]) ).
cnf(c_9264,plain,
cyclic(sK5,sK5,A,sK1),
inference(resolve,[status(thm)],[c_9245,c_5103]) ).
cnf(c_9265,plain,
cyclic(sK5,sK5,sK5,A),
inference(resolve,[status(thm)],[c_9245,c_3190]) ).
cnf(c_9268,plain,
cyclic(sK5,sK1,sK1,A),
inference(resolve,[status(thm)],[c_9263,c_4610]) ).
cnf(c_9271,plain,
cyclic(sK5,sK5,sK4,A),
inference(resolve,[status(thm)],[c_9265,c_6273]) ).
cnf(c_9277,plain,
cyclic(sK1,sK1,sK1,A),
inference(resolve,[status(thm)],[c_9268,c_3265]) ).
cnf(c_9280,plain,
cyclic(sK5,sK4,sK4,A),
inference(resolve,[status(thm)],[c_9271,c_6338]) ).
cnf(c_9287,plain,
cyclic(sK1,sK1,sK4,A),
inference(resolve,[status(thm)],[c_9277,c_1135]) ).
cnf(c_9340,plain,
( cyclic(sK1,A,B,sK1)
| ~ cyclic(sK5,sK1,A,B) ),
inference(resolve,[status(thm)],[c_9070,c_263]) ).
cnf(c_9341,plain,
( cyclic(sK1,A,sK1,B)
| ~ cyclic(sK5,sK1,A,B) ),
inference(resolve,[status(thm)],[c_9070,c_263]) ).
cnf(c_9392,plain,
( cyclic(sK4,A,sK4,B)
| ~ cyclic(sK5,sK4,A,B) ),
inference(resolve,[status(thm)],[c_9099,c_263]) ).
cnf(c_20459,plain,
( perp(A,sK4,sK4,sK1)
| ~ cong(sK4,sK1,sK1,sK1)
| ~ cong(sK4,A,sK1,A) ),
inference(resolve,[status(thm)],[c_9155,c_227]) ).
cnf(c_9474,plain,
( perp(A,sK4,sK4,sK1)
| ~ cong(sK4,A,sK1,A) ),
inference(resolve,[status(thm)],[c_7071,c_20459]) ).
cnf(c_9544,plain,
cyclic(sK4,A,sK4,sK1),
inference(resolve,[status(thm)],[c_9216,c_264]) ).
cnf(c_9558,plain,
( cong(sK4,A,sK1,A)
| ~ cyclic(sK4,A,sK4,A) ),
inference(resolve,[status(thm)],[c_9544,c_8671]) ).
cnf(c_20460,plain,
( cyclic(sK5,sK5,A,B)
| ~ cyclic(sK1,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_9245,c_263]) ).
cnf(c_9575,plain,
cyclic(sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_9245,c_20460]) ).
cnf(c_9596,plain,
( cyclic(sK1,A,sK5,B)
| ~ cyclic(sK5,sK1,A,B) ),
inference(resolve,[status(thm)],[c_9246,c_263]) ).
cnf(c_20461,plain,
( cyclic(sK5,sK1,A,B)
| ~ cyclic(sK5,sK5,sK1,A) ),
inference(resolve,[status(thm)],[c_9263,c_263]) ).
cnf(c_9611,plain,
cyclic(sK5,sK1,A,B),
inference(resolve,[status(thm)],[c_9575,c_20461]) ).
cnf(c_9624,plain,
cyclic(sK1,A,sK5,B),
inference(resolve,[status(thm)],[c_9611,c_9596]) ).
cnf(c_9626,plain,
cyclic(sK1,A,sK1,B),
inference(resolve,[status(thm)],[c_9611,c_9341]) ).
cnf(c_9627,plain,
cyclic(sK1,A,B,sK1),
inference(resolve,[status(thm)],[c_9611,c_9340]) ).
cnf(c_20462,plain,
( cong(sK1,A,sK4,A)
| ~ cyclic(sK1,A,sK5,A) ),
inference(resolve,[status(thm)],[c_9624,c_8657]) ).
cnf(c_9630,plain,
cong(sK1,A,sK4,A),
inference(resolve,[status(thm)],[c_9624,c_20462]) ).
cnf(c_20463,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK5,A) ),
inference(resolve,[status(thm)],[c_9627,c_8656]) ).
cnf(c_9631,plain,
cong(sK1,A,sK1,A),
inference(resolve,[status(thm)],[c_9624,c_20463]) ).
cnf(c_9633,plain,
cyclic(A,sK1,B,sK1),
inference(resolve,[status(thm)],[c_9626,c_9143]) ).
cnf(c_20464,plain,
( cyclic(sK5,A,sK1,B)
| ~ cyclic(sK5,sK5,A,B) ),
inference(resolve,[status(thm)],[c_9264,c_263]) ).
cnf(c_9739,plain,
cyclic(sK5,A,sK1,B),
inference(resolve,[status(thm)],[c_9575,c_20464]) ).
cnf(c_9756,plain,
cyclic(A,sK1,sK1,B),
inference(resolve,[status(thm)],[c_9739,c_9073]) ).
cnf(c_20465,plain,
( cyclic(sK1,sK1,A,B)
| ~ cyclic(sK5,sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_9268,c_263]) ).
cnf(c_9847,plain,
cyclic(sK1,sK1,A,B),
inference(resolve,[status(thm)],[c_9756,c_20465]) ).
cnf(c_20466,plain,
( cyclic(sK5,sK4,A,B)
| ~ cyclic(sK5,sK5,sK4,A) ),
inference(resolve,[status(thm)],[c_9271,c_263]) ).
cnf(c_9862,plain,
cyclic(sK5,sK4,A,B),
inference(resolve,[status(thm)],[c_9575,c_20466]) ).
cnf(c_9876,plain,
cyclic(sK4,A,sK4,B),
inference(resolve,[status(thm)],[c_9862,c_9392]) ).
cnf(c_9883,plain,
cong(sK4,A,sK1,A),
inference(resolve,[status(thm)],[c_9876,c_9558]) ).
cnf(c_9885,plain,
cong(sK4,A,sK4,A),
inference(resolve,[status(thm)],[c_9876,c_8672]) ).
cnf(c_9893,plain,
perp(A,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_9883,c_9474]) ).
cnf(c_10017,plain,
cyclic(sK4,sK4,A,A),
inference(resolve,[status(thm)],[c_9280,c_327]) ).
cnf(c_20467,plain,
( eqangle(sK1,B,sK1,sK1,sK4,sK1,sK4,sK1)
| ~ perp(sK0(sK1,sK1,sK4,A),sK1,sK1,B)
| ~ perp(sK1,sK4,sK4,sK1) ),
inference(resolve,[status(thm)],[c_9287,c_139]) ).
cnf(c_10069,plain,
( eqangle(sK1,B,sK1,sK1,sK4,sK1,sK4,sK1)
| ~ perp(sK0(sK1,sK1,sK4,A),sK1,sK1,B) ),
inference(resolve,[status(thm)],[c_9893,c_20467]) ).
cnf(c_20468,plain,
( cyclic(A,sK4,sK1,B)
| ~ cyclic(sK4,A,sK4,B) ),
inference(resolve,[status(thm)],[c_9544,c_263]) ).
cnf(c_10402,plain,
cyclic(A,sK4,sK1,B),
inference(resolve,[status(thm)],[c_9876,c_20468]) ).
cnf(c_20469,plain,
( perp(sK1,sK4,A,B)
| ~ cong(sK1,A,sK4,A) ),
inference(resolve,[status(thm)],[c_9630,c_228]) ).
cnf(c_10600,plain,
perp(sK1,sK4,A,B),
inference(resolve,[status(thm)],[c_9630,c_20469]) ).
cnf(c_10848,plain,
eqangle(A,B,A,sK1,sK1,B,sK1,sK1),
inference(resolve,[status(thm)],[c_9633,c_239]) ).
cnf(c_20470,plain,
( perp(A,sK1,sK1,B)
| ~ cong(sK1,B,sK1,B)
| ~ cong(sK1,A,sK1,A) ),
inference(resolve,[status(thm)],[c_9847,c_227]) ).
cnf(c_20471,plain,
( perp(B,sK1,sK1,A)
| ~ cong(sK1,A,sK1,A) ),
inference(resolve,[status(thm)],[c_9631,c_20470]) ).
cnf(c_11740,plain,
perp(A,sK1,sK1,B),
inference(resolve,[status(thm)],[c_9631,c_20471]) ).
cnf(c_11757,plain,
eqangle(sK1,A,sK1,sK1,sK4,sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_11740,c_10069]) ).
cnf(c_20472,plain,
( perp(A,sK4,sK4,A)
| ~ cong(sK4,A,sK4,A) ),
inference(resolve,[status(thm)],[c_10017,c_321]) ).
cnf(c_12361,plain,
perp(A,sK4,sK4,A),
inference(resolve,[status(thm)],[c_9885,c_20472]) ).
cnf(c_12620,plain,
( perp(sK1,A,A,B)
| ~ cong(A,B,sK4,B)
| ~ cong(A,sK1,sK4,sK1) ),
inference(resolve,[status(thm)],[c_10402,c_227]) ).
cnf(c_12753,plain,
perp(A,B,sK1,sK4),
inference(resolve,[status(thm)],[c_10600,c_271]) ).
cnf(c_20473,plain,
( para(A,B,C,D)
| ~ perp(A,B,sK1,sK4) ),
inference(resolve,[status(thm)],[c_10600,c_270]) ).
cnf(c_12754,plain,
para(A,B,C,D),
inference(resolve,[status(thm)],[c_12753,c_20473]) ).
cnf(c_12777,plain,
eqangle(A,B,C,D,E,F,C,D),
inference(resolve,[status(thm)],[c_12754,c_240]) ).
cnf(c_13085,plain,
perp(sK4,A,A,sK4),
inference(resolve,[status(thm)],[c_12361,c_271]) ).
cnf(c_13086,plain,
( cong(B,A,sK4,A)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_12361,c_231]) ).
cnf(c_13195,plain,
perp(sK4,A,sK4,A),
inference(resolve,[status(thm)],[c_13085,c_272]) ).
cnf(c_13221,plain,
( cong(sK4,sK4,sK4,A)
| ~ midp(A,sK4,A) ),
inference(resolve,[status(thm)],[c_13195,c_229]) ).
cnf(c_13227,plain,
midp(sK4,A,A),
inference(resolve,[status(thm)],[c_8329,c_5037]) ).
cnf(c_13244,plain,
midp(A,sK4,A),
inference(resolve,[status(thm)],[c_8599,c_13227]) ).
cnf(c_13248,plain,
cong(sK4,sK4,sK4,A),
inference(resolve,[status(thm)],[c_13244,c_13221]) ).
cnf(c_13364,plain,
midp(sK1,A,sK1),
inference(resolve,[status(thm)],[c_13248,c_8600]) ).
cnf(c_13514,plain,
midp(A,B,A),
inference(resolve,[status(thm)],[c_13364,c_8599]) ).
cnf(c_14060,plain,
midp(A,B,B),
inference(resolve,[status(thm)],[c_13514,c_8329]) ).
cnf(c_14062,plain,
midp(A,A,B),
inference(resolve,[status(thm)],[c_13514,c_268]) ).
cnf(c_14076,plain,
cong(A,B,sK4,B),
inference(resolve,[status(thm)],[c_14060,c_13086]) ).
cnf(c_20474,plain,
( perp(sK1,A,A,B)
| ~ cong(A,B,sK4,B) ),
inference(resolve,[status(thm)],[c_14076,c_12620]) ).
cnf(c_14120,plain,
perp(sK1,A,A,B),
inference(resolve,[status(thm)],[c_14076,c_20474]) ).
cnf(c_20475,plain,
( cong(sK1,A,sK1,B)
| ~ midp(A,A,B) ),
inference(resolve,[status(thm)],[c_14120,c_229]) ).
cnf(c_15198,plain,
cong(sK1,A,sK1,B),
inference(resolve,[status(thm)],[c_14062,c_20475]) ).
cnf(c_15595,plain,
eqangle(sK1,A,A,B,A,B,sK1,B),
inference(resolve,[status(thm)],[c_15198,c_233]) ).
cnf(c_17489,plain,
eqangle(A,B,sK1,B,A,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_10848,c_259]) ).
cnf(c_17589,plain,
eqangle(A,sK1,sK1,sK1,sK4,sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_11757,c_262]) ).
cnf(c_17882,plain,
eqangle(A,B,C,D,A,B,E,F),
inference(resolve,[status(thm)],[c_12777,c_261]) ).
cnf(c_18152,plain,
( eqangle(sK1,A,A,B,C,D,E,F)
| ~ eqangle(A,B,sK1,B,C,D,E,F) ),
inference(resolve,[status(thm)],[c_15595,c_258]) ).
cnf(c_20020,plain,
( eqangle(A,F,sK1,F,B,C,D,E)
| ~ eqangle(A,sK1,sK1,sK1,B,C,D,E) ),
inference(resolve,[status(thm)],[c_17489,c_258]) ).
cnf(c_20097,plain,
( eqangle(E,sK1,sK1,sK1,A,B,C,D)
| ~ eqangle(sK4,sK1,sK4,sK1,A,B,C,D) ),
inference(resolve,[status(thm)],[c_17589,c_258]) ).
cnf(c_20332,plain,
eqangle(A,B,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_17882,c_259]) ).
cnf(c_20338,plain,
eqangle(A,sK1,sK1,sK1,B,C,D,E),
inference(resolve,[status(thm)],[c_20332,c_20097]) ).
cnf(c_20410,plain,
eqangle(A,B,sK1,B,C,D,E,F),
inference(resolve,[status(thm)],[c_20338,c_20020]) ).
cnf(c_20440,plain,
eqangle(sK1,A,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_20410,c_18152]) ).
cnf(c_20441,plain,
$false,
inference(resolve,[status(thm)],[c_20440,c_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO597+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n001.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Fri Sep 25 13:49:10 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.34 % Process 3428203 was started by sandbox2 on n001,
% 0.08/0.34 % Fri Sep 25 13:49:10 2026
% 0.08/0.34 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 167.97/22.74
% 167.97/22.74 % given #500 (W,wt=13): 1397 -coll(c6,c5,A) | coll(A,c2,c6). [resolve(1378,a,276,b)].
% 167.97/22.74
% 167.97/22.74 % given #1000 (W,wt=14): 1889 -midp(A,c2,B) | para(c2,A,c2,B). [resolve(1830,a,235,a)].
% 167.97/22.74
% 167.97/22.74 % given #1500 (W,wt=10): 9901 perp(c2,c2,c5,A). [back_unit_del(5036),unit_del(a,9885)].
% 167.97/22.74
% 167.97/22.74 % given #2000 (W,wt=14): 7525 eqangle(c1,c5,c1,c1,c1,c5,c1,c5). [resolve(2820,a,261,a)].
% 167.97/22.74
% 167.97/22.74 % given #2500 (W,wt=14): 14078 eqangle(c2,c2,c2,c2,A,c2,A,B). [back_unit_del(13031),unit_del(a,14060)].
% 167.97/22.74
% 167.97/22.74 % given #3000 (W,wt=14): 16970 eqratio(A,c5,A,c2,c5,c1,c2,c5). [resolve(8785,a,251,a)].
% 167.97/22.74
% 167.97/22.74 % SZS status Theorem for theBenchmark
% 167.97/22.74
% 167.97/22.74 % Proof 1 at 4.76 (+ 1.42) seconds.
% 167.97/22.74 % Length of proof is 364.
% 167.97/22.74 % Level of proof is 49.
% 167.97/22.74 % Maximum clause weight is 38.000.
% 167.97/22.74 % Given clauses 3493.
% 167.97/22.74
% 167.97/22.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------