%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO639+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:18:17 AM UTC 2026
% Result : Theorem 181.38s 29.73s
% Output : CNFRefutation 181.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 44
% Syntax : Number of formulae : 408 ( 208 unt; 0 def)
% Number of atoms : 759 ( 0 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 575 ( 224 ~; 224 |; 82 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-4 aty)
% Number of variables : 793 ( 116 sgn 240 !; 18 ?)
% 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(exemplo6GDDFULL81109105,conjecture,
! [P,Q,A,N,D,O,B,C,E,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7] :
( ( coll(E,A,N)
& coll(E,P,Q)
& circle(O,D,C,NWPNT7)
& coll(C,Q,A)
& circle(O,D,B,NWPNT6)
& coll(B,P,A)
& circle(O,D,NWPNT4,NWPNT5)
& midp(O,D,A)
& circle(N,P,D,NWPNT3)
& coll(D,A,N)
& circle(N,P,NWPNT1,NWPNT2)
& perp(Q,A,Q,N)
& perp(P,A,P,N)
& ( cong(A,P,A,Q)
| cong(A,P,P,Q) ) )
=> eqangle(A,B,B,E,E,B,B,C) ),
file('theBenchmark.p',exemplo6GDDFULL81109105) ).
fof(exemplo6GDDFULL81109105_neg,negated_conjecture,
~ ! [P,Q,A,N,D,O,B,C,E,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7] :
( ( coll(E,A,N)
& coll(E,P,Q)
& circle(O,D,C,NWPNT7)
& coll(C,Q,A)
& circle(O,D,B,NWPNT6)
& coll(B,P,A)
& circle(O,D,NWPNT4,NWPNT5)
& midp(O,D,A)
& circle(N,P,D,NWPNT3)
& coll(D,A,N)
& circle(N,P,NWPNT1,NWPNT2)
& perp(Q,A,Q,N)
& perp(P,A,P,N)
& ( cong(A,P,A,Q)
| cong(A,P,P,Q) ) )
=> eqangle(A,B,B,E,E,B,B,C) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109105]) ).
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_184,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_217,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_218,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,
? [P,Q,A,N,D,O,B,C,E,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7] :
( ~ eqangle(A,B,B,E,E,B,B,C)
& coll(E,A,N)
& coll(E,P,Q)
& circle(O,D,C,NWPNT7)
& coll(C,Q,A)
& circle(O,D,B,NWPNT6)
& coll(B,P,A)
& circle(O,D,NWPNT4,NWPNT5)
& midp(O,D,A)
& circle(N,P,D,NWPNT3)
& coll(D,A,N)
& circle(N,P,NWPNT1,NWPNT2)
& perp(Q,A,Q,N)
& perp(P,A,P,N)
& ( cong(A,P,A,Q)
| cong(A,P,P,Q) ) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL81109105_neg]) ).
fof(sk_exemplo6GDDFULL81109105_neg,plain,
( ~ eqangle(sK1,sK2,sK2,sK3,sK3,sK2,sK2,sK4)
& coll(sK3,sK1,sK8)
& coll(sK3,sK5,sK9)
& circle(sK6,sK7,sK4,sK16)
& coll(sK4,sK9,sK1)
& circle(sK6,sK7,sK2,sK15)
& coll(sK2,sK5,sK1)
& circle(sK6,sK7,sK13,sK14)
& midp(sK6,sK7,sK1)
& circle(sK8,sK5,sK7,sK12)
& coll(sK7,sK1,sK8)
& circle(sK8,sK5,sK10,sK11)
& perp(sK9,sK1,sK9,sK8)
& perp(sK5,sK1,sK5,sK8)
& ( cong(sK1,sK5,sK1,sK9)
| cong(sK1,sK5,sK5,sK9) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK5,sK9,sK8,sK10,sK11,sK7,sK12,sK6,sK13,sK14,sK2,sK15,sK4,sK16,sK3]),skolemize(P,sK5),skolemize(Q,sK9),skolemize(A,sK1),skolemize(N,sK8),skolemize(D,sK7),skolemize(O,sK6),skolemize(B,sK2),skolemize(C,sK4),skolemize(E,sK3),skolemize(NWPNT1,sK10),skolemize(NWPNT2,sK11),skolemize(NWPNT3,sK12),skolemize(NWPNT4,sK13),skolemize(NWPNT5,sK14),skolemize(NWPNT6,sK15),skolemize(NWPNT7,sK16)],[nnf_95]) ).
cnf(c_222,negated_conjecture,
~ eqangle(sK1,sK2,sK2,sK3,sK3,sK2,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL81109105_neg]) ).
cnf(c_226,negated_conjecture,
coll(sK2,sK5,sK1),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL81109105_neg]) ).
cnf(c_227,negated_conjecture,
midp(sK6,sK7,sK1),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL81109105_neg]) ).
cnf(c_228,negated_conjecture,
coll(sK7,sK1,sK8),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL81109105_neg]) ).
cnf(c_267,plain,
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD69]) ).
cnf(c_268,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_269,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_270,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_272,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_273,plain,
( para(B,D,C,E)
| ~ midp(A,D,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD63]) ).
cnf(c_279,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_280,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_281,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_283,plain,
( cong(A,D,B,D)
| ~ midp(D,A,C)
| ~ perp(A,B,B,C) ),
inference(clausify,[status(thm)],[ruleD52]) ).
cnf(c_285,plain,
( eqangle(A,B,B,C,B,C,A,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD46]) ).
cnf(c_286,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_287,plain,
( para(A,D,C,E)
| ~ midp(D,B,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD44]) ).
cnf(c_288,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_289,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_291,plain,
( eqangle(C,A,C,B,D,A,D,B)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD41]) ).
cnf(c_292,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_293,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_308,plain,
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD24]) ).
cnf(c_309,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_310,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_311,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_313,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_314,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_315,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_316,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_317,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_318,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_319,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_320,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_322,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_323,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_324,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_326,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_327,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_328,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_329,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_330,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_345,plain,
( ~ cong(A,B,A,C)
| perp(B,C,C,C)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_217]) ).
cnf(c_370,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_272]) ).
cnf(c_371,plain,
( para(B,B,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_273]) ).
cnf(c_373,plain,
( perp(B,A,A,B)
| ~ cyclic(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_279]) ).
cnf(c_374,plain,
( perp(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_280]) ).
cnf(c_375,plain,
( para(A,A,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_287]) ).
cnf(c_377,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_288]) ).
cnf(c_378,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_288]) ).
cnf(c_379,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_315]) ).
cnf(c_380,plain,
( cyclic(B,C,C,D)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_319]) ).
cnf(c_383,plain,
( para(A,B,A,B)
| ~ perp(A,B,A,B) ),
inference(factor,[status(thm)],[c_322]) ).
cnf(c_384,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_328]) ).
cnf(c_393,plain,
( cyclic(B,C,C,C)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_380]) ).
cnf(c_566,plain,
coll(sK6,sK7,sK1),
inference(resolve,[status(thm)],[c_267,c_227]) ).
cnf(c_567,plain,
cong(sK6,sK7,sK6,sK1),
inference(resolve,[status(thm)],[c_268,c_227]) ).
cnf(c_569,plain,
( para(sK7,A,sK1,B)
| ~ midp(sK6,A,B) ),
inference(resolve,[status(thm)],[c_273,c_227]) ).
cnf(c_570,plain,
( para(A,sK7,B,sK1)
| ~ midp(sK6,A,B) ),
inference(resolve,[status(thm)],[c_273,c_227]) ).
cnf(c_585,plain,
( para(A,sK6,B,sK1)
| ~ midp(A,sK7,B) ),
inference(resolve,[status(thm)],[c_287,c_227]) ).
cnf(c_597,plain,
midp(sK6,sK1,sK7),
inference(resolve,[status(thm)],[c_320,c_227]) ).
cnf(c_636,plain,
coll(sK1,sK7,sK8),
inference(resolve,[status(thm)],[c_329,c_228]) ).
cnf(c_641,plain,
coll(sK7,sK8,sK1),
inference(resolve,[status(thm)],[c_330,c_228]) ).
cnf(c_672,plain,
coll(sK1,sK1,sK2),
inference(resolve,[status(thm)],[c_384,c_226]) ).
cnf(c_681,plain,
coll(sK1,sK1,sK6),
inference(resolve,[status(thm)],[c_566,c_384]) ).
cnf(c_682,plain,
coll(sK6,sK1,sK7),
inference(resolve,[status(thm)],[c_566,c_330]) ).
cnf(c_694,plain,
( para(A,sK6,B,sK7)
| ~ midp(A,sK1,B) ),
inference(resolve,[status(thm)],[c_597,c_287]) ).
cnf(c_695,plain,
( para(sK6,A,sK7,B)
| ~ midp(A,sK1,B) ),
inference(resolve,[status(thm)],[c_597,c_287]) ).
cnf(c_698,plain,
cong(sK6,sK1,sK6,sK7),
inference(resolve,[status(thm)],[c_597,c_268]) ).
cnf(c_710,plain,
coll(sK1,sK8,sK7),
inference(resolve,[status(thm)],[c_636,c_330]) ).
cnf(c_728,plain,
coll(sK1,sK1,sK7),
inference(resolve,[status(thm)],[c_641,c_384]) ).
cnf(c_754,plain,
coll(sK1,sK2,sK1),
inference(resolve,[status(thm)],[c_672,c_330]) ).
cnf(c_769,plain,
coll(sK6,sK6,sK1),
inference(resolve,[status(thm)],[c_681,c_384]) ).
cnf(c_770,plain,
coll(sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_681,c_330]) ).
cnf(c_773,plain,
coll(sK7,sK7,sK6),
inference(resolve,[status(thm)],[c_682,c_384]) ).
cnf(c_784,plain,
coll(sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_710,c_384]) ).
cnf(c_817,plain,
coll(sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_728,c_330]) ).
cnf(c_853,plain,
coll(sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_754,c_384]) ).
cnf(c_876,plain,
coll(sK6,sK1,sK6),
inference(resolve,[status(thm)],[c_769,c_330]) ).
cnf(c_879,plain,
coll(sK6,sK1,sK1),
inference(resolve,[status(thm)],[c_770,c_329]) ).
cnf(c_882,plain,
coll(sK6,sK6,sK7),
inference(resolve,[status(thm)],[c_773,c_384]) ).
cnf(c_941,plain,
coll(sK7,sK1,sK1),
inference(resolve,[status(thm)],[c_817,c_329]) ).
cnf(c_990,plain,
coll(sK1,sK6,sK6),
inference(resolve,[status(thm)],[c_876,c_329]) ).
cnf(c_995,plain,
coll(sK6,sK7,sK6),
inference(resolve,[status(thm)],[c_882,c_330]) ).
cnf(c_1066,plain,
coll(sK7,sK6,sK6),
inference(resolve,[status(thm)],[c_995,c_329]) ).
cnf(c_1091,plain,
cyclic(sK7,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_567,c_393]) ).
cnf(c_31515,plain,
( perp(sK7,sK1,sK1,sK1)
| ~ coll(sK6,sK7,sK1) ),
inference(resolve,[status(thm)],[c_567,c_345]) ).
cnf(c_1107,plain,
perp(sK7,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_566,c_31515]) ).
cnf(c_1292,plain,
cyclic(sK1,sK7,sK7,sK7),
inference(resolve,[status(thm)],[c_698,c_393]) ).
cnf(c_31516,plain,
( perp(sK1,sK7,sK7,sK7)
| ~ coll(sK6,sK1,sK7) ),
inference(resolve,[status(thm)],[c_698,c_345]) ).
cnf(c_1308,plain,
perp(sK1,sK7,sK7,sK7),
inference(resolve,[status(thm)],[c_682,c_31516]) ).
cnf(c_1349,plain,
cong(sK6,sK1,sK7,sK6),
inference(resolve,[status(thm)],[c_698,c_309]) ).
cnf(c_1377,plain,
cyclic(sK1,sK7,sK1,sK1),
inference(resolve,[status(thm)],[c_1091,c_316]) ).
cnf(c_1380,plain,
eqangle(sK1,sK7,sK1,sK1,sK1,sK7,sK1,sK1),
inference(resolve,[status(thm)],[c_1091,c_291]) ).
cnf(c_1396,plain,
perp(sK1,sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_1107,c_323]) ).
cnf(c_1527,plain,
cyclic(sK7,sK1,sK7,sK7),
inference(resolve,[status(thm)],[c_1292,c_316]) ).
cnf(c_1550,plain,
( cong(sK1,sK7,sK1,sK7)
| ~ midp(sK7,sK7,sK7) ),
inference(resolve,[status(thm)],[c_1308,c_281]) ).
cnf(c_1568,plain,
cong(sK7,sK6,sK6,sK1),
inference(resolve,[status(thm)],[c_1349,c_308]) ).
cnf(c_1589,plain,
cyclic(sK1,sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_1377,c_317]) ).
cnf(c_1609,plain,
perp(sK1,sK1,sK1,sK7),
inference(resolve,[status(thm)],[c_1396,c_324]) ).
cnf(c_1717,plain,
cyclic(sK7,sK7,sK1,sK7),
inference(resolve,[status(thm)],[c_1527,c_317]) ).
cnf(c_1750,plain,
cong(sK7,sK6,sK1,sK6),
inference(resolve,[status(thm)],[c_1568,c_309]) ).
cnf(c_1753,plain,
cyclic(sK1,sK1,sK1,sK7),
inference(resolve,[status(thm)],[c_1589,c_318]) ).
cnf(c_1775,plain,
perp(sK1,sK7,sK1,sK1),
inference(resolve,[status(thm)],[c_1609,c_323]) ).
cnf(c_1806,plain,
cyclic(sK7,sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_1717,c_318]) ).
cnf(c_1844,plain,
perp(sK7,sK1,sK6,sK6),
inference(resolve,[status(thm)],[c_1750,c_374]) ).
cnf(c_1849,plain,
cyclic(sK1,sK1,sK7,sK7),
inference(resolve,[status(thm)],[c_1753,c_379]) ).
cnf(c_1852,plain,
( cyclic(sK1,sK1,sK7,A)
| ~ cyclic(sK1,sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_1753,c_315]) ).
cnf(c_1876,plain,
( cong(sK1,sK1,sK1,sK1)
| ~ midp(sK7,sK1,sK1) ),
inference(resolve,[status(thm)],[c_1775,c_281]) ).
cnf(c_1895,plain,
cyclic(sK7,sK7,sK1,sK1),
inference(resolve,[status(thm)],[c_1806,c_379]) ).
cnf(c_1930,plain,
( cong(sK7,sK6,sK7,sK6)
| ~ midp(sK1,sK6,sK6) ),
inference(resolve,[status(thm)],[c_1844,c_281]) ).
cnf(c_1941,plain,
( perp(sK7,sK1,sK1,sK7)
| ~ cong(sK1,sK7,sK1,sK7) ),
inference(resolve,[status(thm)],[c_1849,c_373]) ).
cnf(c_1942,plain,
cyclic(sK1,sK7,sK1,sK7),
inference(resolve,[status(thm)],[c_1849,c_317]) ).
cnf(c_1973,plain,
( perp(sK1,sK7,sK7,sK1)
| ~ cong(sK7,sK1,sK7,sK1) ),
inference(resolve,[status(thm)],[c_1895,c_373]) ).
cnf(c_2006,plain,
cyclic(sK7,sK1,sK1,sK7),
inference(resolve,[status(thm)],[c_1942,c_316]) ).
cnf(c_3848,plain,
para(sK7,sK1,sK1,sK7),
inference(resolve,[status(thm)],[c_569,c_597]) ).
cnf(c_3861,plain,
para(sK7,sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_3848,c_327]) ).
cnf(c_3862,plain,
para(sK1,sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_3848,c_326]) ).
cnf(c_3893,plain,
eqangle(sK7,sK1,A,B,sK7,sK1,A,B),
inference(resolve,[status(thm)],[c_3861,c_292]) ).
cnf(c_3906,plain,
para(sK1,sK7,sK1,sK7),
inference(resolve,[status(thm)],[c_3862,c_327]) ).
cnf(c_3926,plain,
( midp(A,sK7,sK7)
| ~ midp(A,sK1,sK1) ),
inference(resolve,[status(thm)],[c_3906,c_370]) ).
cnf(c_3929,plain,
eqangle(sK1,sK7,A,B,sK1,sK7,A,B),
inference(resolve,[status(thm)],[c_3906,c_292]) ).
cnf(c_31517,plain,
( cong(sK7,sK1,sK7,sK1)
| ~ cyclic(sK7,sK1,sK1,sK1)
| ~ cyclic(sK7,sK1,sK1,sK7) ),
inference(resolve,[status(thm)],[c_1380,c_378]) ).
cnf(c_31518,plain,
( cong(sK7,sK1,sK7,sK1)
| ~ cyclic(sK7,sK1,sK1,sK1) ),
inference(resolve,[status(thm)],[c_2006,c_31517]) ).
cnf(c_3974,plain,
cong(sK7,sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_1091,c_31518]) ).
cnf(c_3977,plain,
perp(sK1,sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_3974,c_1973]) ).
cnf(c_31519,plain,
( midp(sK7,sK1,sK1)
| ~ coll(sK7,sK1,sK1) ),
inference(resolve,[status(thm)],[c_3974,c_269]) ).
cnf(c_4055,plain,
midp(sK7,sK1,sK1),
inference(resolve,[status(thm)],[c_941,c_31519]) ).
cnf(c_4094,plain,
cong(sK1,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_4055,c_1876]) ).
cnf(c_4098,plain,
midp(sK7,sK7,sK7),
inference(resolve,[status(thm)],[c_4055,c_3926]) ).
cnf(c_4102,plain,
para(sK1,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_4055,c_371]) ).
cnf(c_4121,plain,
cong(sK1,sK7,sK1,sK7),
inference(resolve,[status(thm)],[c_4098,c_1550]) ).
cnf(c_4130,plain,
perp(sK7,sK1,sK1,sK7),
inference(resolve,[status(thm)],[c_4121,c_1941]) ).
cnf(c_4147,plain,
para(sK7,sK6,sK7,sK1),
inference(resolve,[status(thm)],[c_4098,c_585]) ).
cnf(c_4150,plain,
para(sK7,sK7,sK7,sK7),
inference(resolve,[status(thm)],[c_4098,c_375]) ).
cnf(c_4182,plain,
perp(sK1,sK7,sK1,sK7),
inference(resolve,[status(thm)],[c_3977,c_324]) ).
cnf(c_31520,plain,
( midp(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1) ),
inference(resolve,[status(thm)],[c_4094,c_269]) ).
cnf(c_4289,plain,
midp(sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_853,c_31520]) ).
cnf(c_4312,plain,
midp(sK1,sK7,sK7),
inference(resolve,[status(thm)],[c_4289,c_3926]) ).
cnf(c_4314,plain,
para(sK1,sK6,sK1,sK7),
inference(resolve,[status(thm)],[c_4289,c_694]) ).
cnf(c_4399,plain,
eqangle(sK1,sK1,A,B,sK1,sK1,A,B),
inference(resolve,[status(thm)],[c_4102,c_292]) ).
cnf(c_4500,plain,
perp(sK7,sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_4130,c_324]) ).
cnf(c_4525,plain,
para(sK7,sK1,sK7,sK6),
inference(resolve,[status(thm)],[c_4147,c_326]) ).
cnf(c_31521,plain,
( midp(A,sK1,sK6)
| ~ para(sK7,sK1,sK7,sK6)
| ~ midp(A,sK7,sK7) ),
inference(resolve,[status(thm)],[c_4147,c_272]) ).
cnf(c_4531,plain,
( midp(A,sK1,sK6)
| ~ midp(A,sK7,sK7) ),
inference(resolve,[status(thm)],[c_4525,c_31521]) ).
cnf(c_4562,plain,
eqangle(sK7,sK7,A,B,sK7,sK7,A,B),
inference(resolve,[status(thm)],[c_4150,c_292]) ).
cnf(c_4652,plain,
( cong(sK1,sK1,sK1,sK7)
| ~ midp(sK7,sK1,sK7) ),
inference(resolve,[status(thm)],[c_4182,c_281]) ).
cnf(c_4680,plain,
para(sK1,sK7,sK1,sK6),
inference(resolve,[status(thm)],[c_4314,c_326]) ).
cnf(c_31522,plain,
( midp(A,sK7,sK6)
| ~ para(sK1,sK7,sK1,sK6)
| ~ midp(A,sK1,sK1) ),
inference(resolve,[status(thm)],[c_4314,c_272]) ).
cnf(c_4686,plain,
( midp(A,sK7,sK6)
| ~ midp(A,sK1,sK1) ),
inference(resolve,[status(thm)],[c_4680,c_31522]) ).
cnf(c_4791,plain,
( cong(sK7,sK7,sK7,sK1)
| ~ midp(sK1,sK7,sK1) ),
inference(resolve,[status(thm)],[c_4500,c_281]) ).
cnf(c_4888,plain,
midp(sK1,sK1,sK6),
inference(resolve,[status(thm)],[c_4531,c_4312]) ).
cnf(c_4889,plain,
midp(sK7,sK1,sK6),
inference(resolve,[status(thm)],[c_4531,c_4098]) ).
cnf(c_4894,plain,
para(sK6,sK1,sK7,sK6),
inference(resolve,[status(thm)],[c_4888,c_695]) ).
cnf(c_4902,plain,
midp(sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_4888,c_320]) ).
cnf(c_4907,plain,
cong(sK1,sK1,sK1,sK6),
inference(resolve,[status(thm)],[c_4888,c_268]) ).
cnf(c_4921,plain,
para(sK7,sK6,sK6,sK7),
inference(resolve,[status(thm)],[c_4889,c_694]) ).
cnf(c_4958,plain,
cong(sK1,sK6,sK1,sK1),
inference(resolve,[status(thm)],[c_4902,c_268]) ).
cnf(c_4992,plain,
para(sK6,sK1,sK6,sK7),
inference(resolve,[status(thm)],[c_4894,c_327]) ).
cnf(c_5028,plain,
cyclic(sK1,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_4907,c_393]) ).
cnf(c_5085,plain,
cong(sK1,sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_4907,c_309]) ).
cnf(c_5131,plain,
para(sK7,sK6,sK7,sK6),
inference(resolve,[status(thm)],[c_4921,c_327]) ).
cnf(c_5224,plain,
cyclic(sK6,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_4958,c_393]) ).
cnf(c_31523,plain,
( perp(sK6,sK1,sK1,sK1)
| ~ coll(sK1,sK6,sK1) ),
inference(resolve,[status(thm)],[c_4958,c_345]) ).
cnf(c_5240,plain,
perp(sK6,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_770,c_31523]) ).
cnf(c_5389,plain,
para(sK6,sK7,sK6,sK1),
inference(resolve,[status(thm)],[c_4992,c_326]) ).
cnf(c_5393,plain,
eqangle(sK6,sK1,A,B,sK6,sK7,A,B),
inference(resolve,[status(thm)],[c_4992,c_292]) ).
cnf(c_31524,plain,
( midp(A,sK7,sK1)
| ~ para(sK6,sK7,sK6,sK1)
| ~ midp(A,sK6,sK6) ),
inference(resolve,[status(thm)],[c_4992,c_272]) ).
cnf(c_5395,plain,
( midp(A,sK7,sK1)
| ~ midp(A,sK6,sK6) ),
inference(resolve,[status(thm)],[c_5389,c_31524]) ).
cnf(c_5456,plain,
cyclic(sK6,sK1,sK6,sK6),
inference(resolve,[status(thm)],[c_5028,c_316]) ).
cnf(c_5458,plain,
( cyclic(sK6,sK6,sK6,A)
| ~ cyclic(sK1,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_5028,c_315]) ).
cnf(c_5498,plain,
cong(sK6,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_5085,c_308]) ).
cnf(c_5518,plain,
eqangle(sK7,sK6,A,B,sK7,sK6,A,B),
inference(resolve,[status(thm)],[c_5131,c_292]) ).
cnf(c_31525,plain,
( perp(sK1,sK6,sK6,sK1)
| ~ cong(sK6,sK1,sK1,sK1) ),
inference(resolve,[status(thm)],[c_5224,c_373]) ).
cnf(c_5530,plain,
perp(sK1,sK6,sK6,sK1),
inference(resolve,[status(thm)],[c_5498,c_31525]) ).
cnf(c_5533,plain,
( cyclic(sK1,sK1,sK1,A)
| ~ cyclic(sK6,sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_5224,c_315]) ).
cnf(c_31526,plain,
( cong(sK6,sK1,sK6,sK1)
| ~ midp(sK1,sK1,sK1) ),
inference(resolve,[status(thm)],[c_5240,c_281]) ).
cnf(c_5554,plain,
cong(sK6,sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_4289,c_31526]) ).
cnf(c_5622,plain,
cyclic(sK6,sK6,sK1,sK6),
inference(resolve,[status(thm)],[c_5456,c_317]) ).
cnf(c_5674,plain,
perp(sK1,sK6,sK1,sK6),
inference(resolve,[status(thm)],[c_5530,c_324]) ).
cnf(c_5675,plain,
perp(sK6,sK1,sK1,sK6),
inference(resolve,[status(thm)],[c_5530,c_323]) ).
cnf(c_5774,plain,
cong(sK6,sK1,sK1,sK6),
inference(resolve,[status(thm)],[c_5554,c_309]) ).
cnf(c_31527,plain,
( midp(sK6,sK1,sK1)
| ~ coll(sK6,sK1,sK1) ),
inference(resolve,[status(thm)],[c_5554,c_269]) ).
cnf(c_5778,plain,
midp(sK6,sK1,sK1),
inference(resolve,[status(thm)],[c_879,c_31527]) ).
cnf(c_5811,plain,
midp(sK6,sK7,sK7),
inference(resolve,[status(thm)],[c_5778,c_3926]) ).
cnf(c_5879,plain,
para(sK7,sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_5811,c_570]) ).
cnf(c_6010,plain,
cyclic(sK6,sK6,sK6,sK1),
inference(resolve,[status(thm)],[c_5622,c_318]) ).
cnf(c_6073,plain,
para(sK1,sK6,sK1,sK6),
inference(resolve,[status(thm)],[c_5674,c_383]) ).
cnf(c_6085,plain,
perp(sK6,sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_5675,c_324]) ).
cnf(c_6137,plain,
cong(sK1,sK6,sK6,sK1),
inference(resolve,[status(thm)],[c_5774,c_308]) ).
cnf(c_6277,plain,
eqangle(sK7,sK7,A,B,sK7,sK1,A,B),
inference(resolve,[status(thm)],[c_5879,c_292]) ).
cnf(c_6675,plain,
cyclic(sK6,sK6,sK1,sK1),
inference(resolve,[status(thm)],[c_6010,c_379]) ).
cnf(c_6723,plain,
eqangle(sK1,sK6,A,B,sK1,sK6,A,B),
inference(resolve,[status(thm)],[c_6073,c_292]) ).
cnf(c_6732,plain,
para(sK6,sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_6085,c_383]) ).
cnf(c_6767,plain,
cong(sK1,sK6,sK1,sK6),
inference(resolve,[status(thm)],[c_6137,c_309]) ).
cnf(c_6888,plain,
cyclic(sK6,sK1,sK6,sK1),
inference(resolve,[status(thm)],[c_6675,c_317]) ).
cnf(c_6890,plain,
( cyclic(sK6,sK1,sK1,A)
| ~ cyclic(sK6,sK6,sK1,A) ),
inference(resolve,[status(thm)],[c_6675,c_315]) ).
cnf(c_6937,plain,
eqangle(sK6,sK1,A,B,sK6,sK1,A,B),
inference(resolve,[status(thm)],[c_6732,c_292]) ).
cnf(c_31528,plain,
( midp(sK1,sK6,sK6)
| ~ coll(sK1,sK6,sK6) ),
inference(resolve,[status(thm)],[c_6767,c_269]) ).
cnf(c_7022,plain,
midp(sK1,sK6,sK6),
inference(resolve,[status(thm)],[c_990,c_31528]) ).
cnf(c_7050,plain,
cong(sK7,sK6,sK7,sK6),
inference(resolve,[status(thm)],[c_7022,c_1930]) ).
cnf(c_7108,plain,
cyclic(sK1,sK6,sK6,sK1),
inference(resolve,[status(thm)],[c_6888,c_316]) ).
cnf(c_31529,plain,
( midp(sK7,sK6,sK6)
| ~ coll(sK7,sK6,sK6) ),
inference(resolve,[status(thm)],[c_7050,c_269]) ).
cnf(c_7317,plain,
midp(sK7,sK6,sK6),
inference(resolve,[status(thm)],[c_1066,c_31529]) ).
cnf(c_7383,plain,
( cyclic(sK6,sK6,A,sK1)
| ~ cyclic(sK1,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_7108,c_315]) ).
cnf(c_7384,plain,
( cyclic(sK6,sK6,sK1,A)
| ~ cyclic(sK1,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_7108,c_315]) ).
cnf(c_7401,plain,
midp(sK6,sK7,sK6),
inference(resolve,[status(thm)],[c_4686,c_5778]) ).
cnf(c_7442,plain,
cong(sK6,sK7,sK6,sK6),
inference(resolve,[status(thm)],[c_7401,c_268]) ).
cnf(c_7680,plain,
cyclic(sK7,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_7442,c_393]) ).
cnf(c_8238,plain,
cyclic(sK6,sK7,sK6,sK6),
inference(resolve,[status(thm)],[c_7680,c_316]) ).
cnf(c_8355,plain,
cyclic(sK6,sK6,sK7,sK6),
inference(resolve,[status(thm)],[c_8238,c_317]) ).
cnf(c_8473,plain,
cyclic(sK6,sK6,sK6,sK7),
inference(resolve,[status(thm)],[c_8355,c_318]) ).
cnf(c_8577,plain,
cyclic(sK6,sK6,sK7,sK7),
inference(resolve,[status(thm)],[c_8473,c_379]) ).
cnf(c_8580,plain,
( cyclic(sK6,sK6,sK7,A)
| ~ cyclic(sK6,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_8473,c_315]) ).
cnf(c_8645,plain,
( cyclic(sK6,sK7,sK7,A)
| ~ cyclic(sK6,sK6,sK7,A) ),
inference(resolve,[status(thm)],[c_8577,c_315]) ).
cnf(c_8775,plain,
midp(sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_5395,c_7317]) ).
cnf(c_8776,plain,
midp(sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_5395,c_7022]) ).
cnf(c_8788,plain,
cong(sK7,sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_8776,c_4791]) ).
cnf(c_8809,plain,
midp(sK7,sK1,sK7),
inference(resolve,[status(thm)],[c_8775,c_320]) ).
cnf(c_8828,plain,
cong(sK1,sK1,sK1,sK7),
inference(resolve,[status(thm)],[c_8809,c_4652]) ).
cnf(c_9160,plain,
cong(sK1,sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_8828,c_309]) ).
cnf(c_9370,plain,
cong(sK7,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_9160,c_308]) ).
cnf(c_9577,plain,
eqangle(A,B,sK7,sK1,A,B,sK7,sK1),
inference(resolve,[status(thm)],[c_3893,c_313]) ).
cnf(c_9595,plain,
( cyclic(sK7,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_3929,c_289]) ).
cnf(c_9709,plain,
( cyclic(sK1,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_4399,c_289]) ).
cnf(c_9738,plain,
( cong(sK7,A,sK7,A)
| ~ cyclic(sK7,A,sK7,A)
| ~ cyclic(sK7,A,sK7,sK7) ),
inference(resolve,[status(thm)],[c_4562,c_377]) ).
cnf(c_9741,plain,
( cyclic(sK7,A,sK7,sK7)
| ~ coll(sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_4562,c_289]) ).
cnf(c_9894,plain,
( cong(sK1,A,sK7,A)
| ~ cyclic(sK1,A,sK6,sK6)
| ~ cyclic(sK1,A,sK6,A)
| ~ cyclic(sK1,A,sK6,sK7) ),
inference(resolve,[status(thm)],[c_5393,c_288]) ).
cnf(c_9931,plain,
( cyclic(sK6,A,sK7,sK7)
| ~ coll(sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_5518,c_289]) ).
cnf(c_10086,plain,
( cong(sK7,A,sK1,A)
| ~ cyclic(sK7,A,sK7,sK7)
| ~ cyclic(sK7,A,sK7,A)
| ~ cyclic(sK7,A,sK7,sK1) ),
inference(resolve,[status(thm)],[c_6277,c_288]) ).
cnf(c_10171,plain,
( cyclic(sK6,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_6723,c_289]) ).
cnf(c_10232,plain,
( cyclic(sK1,A,sK6,sK6)
| ~ coll(sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_6937,c_289]) ).
cnf(c_10233,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK6,sK6)
| ~ cyclic(sK1,A,sK6,A)
| ~ cyclic(sK1,A,sK6,sK1) ),
inference(resolve,[status(thm)],[c_6937,c_288]) ).
cnf(c_10784,plain,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_9577,c_293]) ).
cnf(c_31530,plain,
( cyclic(A,sK1,sK7,sK7)
| ~ coll(sK7,sK7,sK1) ),
inference(resolve,[status(thm)],[c_9577,c_289]) ).
cnf(c_10786,plain,
cyclic(A,sK1,sK7,sK7),
inference(resolve,[status(thm)],[c_784,c_31530]) ).
cnf(c_31531,plain,
( ~ cong(sK7,sK7,sK7,sK1)
| ~ cong(sK7,sK7,sK7,A)
| midp(sK1,A,sK1)
| ~ coll(sK1,A,sK1) ),
inference(resolve,[status(thm)],[c_9577,c_218]) ).
cnf(c_10791,plain,
( ~ cong(sK7,sK7,sK7,A)
| midp(sK1,A,sK1)
| ~ coll(sK1,A,sK1) ),
inference(resolve,[status(thm)],[c_8788,c_31531]) ).
cnf(c_10794,plain,
( midp(A,C,C)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_10784,c_370]) ).
cnf(c_10802,plain,
( midp(C,B,C)
| ~ coll(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_10784,c_286]) ).
cnf(c_10804,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_10784,c_270]) ).
cnf(c_10967,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_10804,c_384]) ).
cnf(c_10968,plain,
coll(A,B,A),
inference(resolve,[status(thm)],[c_10804,c_329]) ).
cnf(c_10975,plain,
cyclic(sK1,A,sK6,sK6),
inference(resolve,[status(thm)],[c_10967,c_10232]) ).
cnf(c_10976,plain,
cyclic(sK6,A,sK1,sK1),
inference(resolve,[status(thm)],[c_10967,c_10171]) ).
cnf(c_10978,plain,
cyclic(sK6,A,sK7,sK7),
inference(resolve,[status(thm)],[c_10967,c_9931]) ).
cnf(c_10980,plain,
cyclic(sK7,A,sK7,sK7),
inference(resolve,[status(thm)],[c_10967,c_9741]) ).
cnf(c_10981,plain,
cyclic(sK1,A,sK1,sK1),
inference(resolve,[status(thm)],[c_10967,c_9709]) ).
cnf(c_10982,plain,
cyclic(sK7,A,sK1,sK1),
inference(resolve,[status(thm)],[c_10967,c_9595]) ).
cnf(c_11168,plain,
( midp(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_10968,c_10802]) ).
cnf(c_11169,plain,
( ~ cong(sK7,sK7,sK7,A)
| midp(sK1,A,sK1) ),
inference(resolve,[status(thm)],[c_10968,c_10791]) ).
cnf(c_11226,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK6,A)
| ~ cyclic(sK1,A,sK6,sK1) ),
inference(resolve,[status(thm)],[c_10975,c_10233]) ).
cnf(c_11227,plain,
( cong(sK1,A,sK7,A)
| ~ cyclic(sK1,A,sK6,A)
| ~ cyclic(sK1,A,sK6,sK7) ),
inference(resolve,[status(thm)],[c_10975,c_9894]) ).
cnf(c_11241,plain,
( cong(sK7,A,sK1,A)
| ~ cyclic(sK7,A,sK7,A)
| ~ cyclic(sK7,A,sK7,sK1) ),
inference(resolve,[status(thm)],[c_10980,c_10086]) ).
cnf(c_11242,plain,
( cong(sK7,A,sK7,A)
| ~ cyclic(sK7,A,sK7,A) ),
inference(resolve,[status(thm)],[c_10980,c_9738]) ).
cnf(c_11624,plain,
cyclic(A,sK7,sK1,sK7),
inference(resolve,[status(thm)],[c_10786,c_317]) ).
cnf(c_11642,plain,
cyclic(sK1,sK6,A,sK6),
inference(resolve,[status(thm)],[c_10975,c_317]) ).
cnf(c_11658,plain,
cyclic(sK6,sK1,A,sK1),
inference(resolve,[status(thm)],[c_10976,c_317]) ).
cnf(c_11661,plain,
( cyclic(A,sK1,sK1,B)
| ~ cyclic(sK6,A,sK1,B) ),
inference(resolve,[status(thm)],[c_10976,c_315]) ).
cnf(c_11687,plain,
cyclic(sK6,sK7,A,sK7),
inference(resolve,[status(thm)],[c_10978,c_317]) ).
cnf(c_11731,plain,
( cyclic(A,sK1,B,sK1)
| ~ cyclic(sK1,A,sK1,B) ),
inference(resolve,[status(thm)],[c_10981,c_315]) ).
cnf(c_11743,plain,
cyclic(sK7,sK1,A,sK1),
inference(resolve,[status(thm)],[c_10982,c_317]) ).
cnf(c_11909,plain,
cyclic(A,sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_11624,c_318]) ).
cnf(c_11938,plain,
cyclic(sK1,sK6,sK6,A),
inference(resolve,[status(thm)],[c_11642,c_318]) ).
cnf(c_11939,plain,
cyclic(sK6,sK1,A,sK6),
inference(resolve,[status(thm)],[c_11642,c_316]) ).
cnf(c_11956,plain,
cyclic(sK6,sK6,sK1,A),
inference(resolve,[status(thm)],[c_11938,c_7384]) ).
cnf(c_11957,plain,
cyclic(sK6,sK6,A,sK1),
inference(resolve,[status(thm)],[c_11938,c_7383]) ).
cnf(c_11958,plain,
cyclic(sK6,sK6,sK6,A),
inference(resolve,[status(thm)],[c_11938,c_5458]) ).
cnf(c_11961,plain,
cyclic(sK6,sK1,sK1,A),
inference(resolve,[status(thm)],[c_11956,c_6890]) ).
cnf(c_11964,plain,
cyclic(sK6,sK6,sK7,A),
inference(resolve,[status(thm)],[c_11958,c_8580]) ).
cnf(c_11970,plain,
cyclic(sK1,sK1,sK1,A),
inference(resolve,[status(thm)],[c_11961,c_5533]) ).
cnf(c_11973,plain,
cyclic(sK6,sK7,sK7,A),
inference(resolve,[status(thm)],[c_11964,c_8645]) ).
cnf(c_11980,plain,
cyclic(sK1,sK1,sK7,A),
inference(resolve,[status(thm)],[c_11970,c_1852]) ).
cnf(c_12034,plain,
( cyclic(sK1,A,B,sK1)
| ~ cyclic(sK6,sK1,A,B) ),
inference(resolve,[status(thm)],[c_11658,c_315]) ).
cnf(c_12035,plain,
( cyclic(sK1,A,sK1,B)
| ~ cyclic(sK6,sK1,A,B) ),
inference(resolve,[status(thm)],[c_11658,c_315]) ).
cnf(c_12086,plain,
( cyclic(sK7,A,sK7,B)
| ~ cyclic(sK6,sK7,A,B) ),
inference(resolve,[status(thm)],[c_11687,c_315]) ).
cnf(c_31532,plain,
( perp(A,sK7,sK7,sK1)
| ~ cong(sK7,sK1,sK1,sK1)
| ~ cong(sK7,A,sK1,A) ),
inference(resolve,[status(thm)],[c_11743,c_279]) ).
cnf(c_12168,plain,
( perp(A,sK7,sK7,sK1)
| ~ cong(sK7,A,sK1,A) ),
inference(resolve,[status(thm)],[c_9370,c_31532]) ).
cnf(c_12497,plain,
cyclic(sK7,A,sK7,sK1),
inference(resolve,[status(thm)],[c_11909,c_316]) ).
cnf(c_12511,plain,
( cong(sK7,A,sK1,A)
| ~ cyclic(sK7,A,sK7,A) ),
inference(resolve,[status(thm)],[c_12497,c_11241]) ).
cnf(c_31533,plain,
( cyclic(sK6,sK6,A,B)
| ~ cyclic(sK1,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_11938,c_315]) ).
cnf(c_12528,plain,
cyclic(sK6,sK6,A,B),
inference(resolve,[status(thm)],[c_11938,c_31533]) ).
cnf(c_12549,plain,
( cyclic(sK1,A,sK6,B)
| ~ cyclic(sK6,sK1,A,B) ),
inference(resolve,[status(thm)],[c_11939,c_315]) ).
cnf(c_31534,plain,
( cyclic(sK6,sK1,A,B)
| ~ cyclic(sK6,sK6,sK1,A) ),
inference(resolve,[status(thm)],[c_11956,c_315]) ).
cnf(c_12564,plain,
cyclic(sK6,sK1,A,B),
inference(resolve,[status(thm)],[c_12528,c_31534]) ).
cnf(c_12577,plain,
cyclic(sK1,A,sK6,B),
inference(resolve,[status(thm)],[c_12564,c_12549]) ).
cnf(c_12579,plain,
cyclic(sK1,A,sK1,B),
inference(resolve,[status(thm)],[c_12564,c_12035]) ).
cnf(c_12580,plain,
cyclic(sK1,A,B,sK1),
inference(resolve,[status(thm)],[c_12564,c_12034]) ).
cnf(c_31535,plain,
( cong(sK1,A,sK7,A)
| ~ cyclic(sK1,A,sK6,A) ),
inference(resolve,[status(thm)],[c_12577,c_11227]) ).
cnf(c_12583,plain,
cong(sK1,A,sK7,A),
inference(resolve,[status(thm)],[c_12577,c_31535]) ).
cnf(c_31536,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK6,A) ),
inference(resolve,[status(thm)],[c_12580,c_11226]) ).
cnf(c_12584,plain,
cong(sK1,A,sK1,A),
inference(resolve,[status(thm)],[c_12577,c_31536]) ).
cnf(c_12586,plain,
cyclic(A,sK1,B,sK1),
inference(resolve,[status(thm)],[c_12579,c_11731]) ).
cnf(c_31537,plain,
( cyclic(sK6,A,sK1,B)
| ~ cyclic(sK6,sK6,A,B) ),
inference(resolve,[status(thm)],[c_11957,c_315]) ).
cnf(c_12692,plain,
cyclic(sK6,A,sK1,B),
inference(resolve,[status(thm)],[c_12528,c_31537]) ).
cnf(c_12709,plain,
cyclic(A,sK1,sK1,B),
inference(resolve,[status(thm)],[c_12692,c_11661]) ).
cnf(c_31538,plain,
( cyclic(sK1,sK1,A,B)
| ~ cyclic(sK6,sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_11961,c_315]) ).
cnf(c_12803,plain,
cyclic(sK1,sK1,A,B),
inference(resolve,[status(thm)],[c_12709,c_31538]) ).
cnf(c_31539,plain,
( cyclic(sK6,sK7,A,B)
| ~ cyclic(sK6,sK6,sK7,A) ),
inference(resolve,[status(thm)],[c_11964,c_315]) ).
cnf(c_12818,plain,
cyclic(sK6,sK7,A,B),
inference(resolve,[status(thm)],[c_12528,c_31539]) ).
cnf(c_12832,plain,
cyclic(sK7,A,sK7,B),
inference(resolve,[status(thm)],[c_12818,c_12086]) ).
cnf(c_12839,plain,
cong(sK7,A,sK1,A),
inference(resolve,[status(thm)],[c_12832,c_12511]) ).
cnf(c_12847,plain,
cong(sK7,A,sK7,A),
inference(resolve,[status(thm)],[c_12832,c_11242]) ).
cnf(c_12855,plain,
perp(A,sK7,sK7,sK1),
inference(resolve,[status(thm)],[c_12839,c_12168]) ).
cnf(c_13033,plain,
cyclic(sK7,sK7,A,A),
inference(resolve,[status(thm)],[c_11973,c_379]) ).
cnf(c_31540,plain,
( eqangle(sK1,B,sK1,sK1,sK7,sK1,sK7,sK1)
| ~ perp(sK0(sK1,sK1,sK7,A),sK1,sK1,B)
| ~ perp(sK1,sK7,sK7,sK1) ),
inference(resolve,[status(thm)],[c_11980,c_184]) ).
cnf(c_13097,plain,
( eqangle(sK1,B,sK1,sK1,sK7,sK1,sK7,sK1)
| ~ perp(sK0(sK1,sK1,sK7,A),sK1,sK1,B) ),
inference(resolve,[status(thm)],[c_12855,c_31540]) ).
cnf(c_31541,plain,
( cyclic(A,sK7,sK1,B)
| ~ cyclic(sK7,A,sK7,B) ),
inference(resolve,[status(thm)],[c_12497,c_315]) ).
cnf(c_13850,plain,
cyclic(A,sK7,sK1,B),
inference(resolve,[status(thm)],[c_12832,c_31541]) ).
cnf(c_31542,plain,
( perp(sK1,sK7,A,B)
| ~ cong(sK1,A,sK7,A) ),
inference(resolve,[status(thm)],[c_12583,c_280]) ).
cnf(c_14053,plain,
perp(sK1,sK7,A,B),
inference(resolve,[status(thm)],[c_12583,c_31542]) ).
cnf(c_14352,plain,
eqangle(A,B,A,sK1,sK1,B,sK1,sK1),
inference(resolve,[status(thm)],[c_12586,c_291]) ).
cnf(c_31543,plain,
( perp(A,sK1,sK1,B)
| ~ cong(sK1,B,sK1,B)
| ~ cong(sK1,A,sK1,A) ),
inference(resolve,[status(thm)],[c_12803,c_279]) ).
cnf(c_31544,plain,
( perp(B,sK1,sK1,A)
| ~ cong(sK1,A,sK1,A) ),
inference(resolve,[status(thm)],[c_12584,c_31543]) ).
cnf(c_15242,plain,
perp(A,sK1,sK1,B),
inference(resolve,[status(thm)],[c_12584,c_31544]) ).
cnf(c_15259,plain,
eqangle(sK1,A,sK1,sK1,sK7,sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_15242,c_13097]) ).
cnf(c_31545,plain,
( perp(A,sK7,sK7,A)
| ~ cong(sK7,A,sK7,A) ),
inference(resolve,[status(thm)],[c_13033,c_373]) ).
cnf(c_16231,plain,
perp(A,sK7,sK7,A),
inference(resolve,[status(thm)],[c_12847,c_31545]) ).
cnf(c_17445,plain,
( perp(sK1,A,A,B)
| ~ cong(A,B,sK7,B)
| ~ cong(A,sK1,sK7,sK1) ),
inference(resolve,[status(thm)],[c_13850,c_279]) ).
cnf(c_17626,plain,
perp(A,B,sK1,sK7),
inference(resolve,[status(thm)],[c_14053,c_323]) ).
cnf(c_31546,plain,
( para(A,B,C,D)
| ~ perp(A,B,sK1,sK7) ),
inference(resolve,[status(thm)],[c_14053,c_322]) ).
cnf(c_17627,plain,
para(A,B,C,D),
inference(resolve,[status(thm)],[c_17626,c_31546]) ).
cnf(c_17654,plain,
eqangle(A,B,C,D,E,F,C,D),
inference(resolve,[status(thm)],[c_17627,c_292]) ).
cnf(c_18046,plain,
perp(sK7,A,A,sK7),
inference(resolve,[status(thm)],[c_16231,c_323]) ).
cnf(c_18047,plain,
( cong(B,A,sK7,A)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_16231,c_283]) ).
cnf(c_18388,plain,
perp(sK7,A,sK7,A),
inference(resolve,[status(thm)],[c_18046,c_324]) ).
cnf(c_18494,plain,
( cong(sK7,sK7,sK7,A)
| ~ midp(A,sK7,A) ),
inference(resolve,[status(thm)],[c_18388,c_281]) ).
cnf(c_18504,plain,
midp(sK7,A,A),
inference(resolve,[status(thm)],[c_10794,c_7317]) ).
cnf(c_18615,plain,
midp(A,sK7,A),
inference(resolve,[status(thm)],[c_11168,c_18504]) ).
cnf(c_18622,plain,
cong(sK7,sK7,sK7,A),
inference(resolve,[status(thm)],[c_18615,c_18494]) ).
cnf(c_18741,plain,
midp(sK1,A,sK1),
inference(resolve,[status(thm)],[c_18622,c_11169]) ).
cnf(c_18993,plain,
midp(A,B,A),
inference(resolve,[status(thm)],[c_18741,c_11168]) ).
cnf(c_19623,plain,
midp(A,B,B),
inference(resolve,[status(thm)],[c_18993,c_10794]) ).
cnf(c_19625,plain,
midp(A,A,B),
inference(resolve,[status(thm)],[c_18993,c_320]) ).
cnf(c_19643,plain,
cong(A,B,sK7,B),
inference(resolve,[status(thm)],[c_19623,c_18047]) ).
cnf(c_31547,plain,
( perp(sK1,A,A,B)
| ~ cong(A,B,sK7,B) ),
inference(resolve,[status(thm)],[c_19643,c_17445]) ).
cnf(c_19731,plain,
perp(sK1,A,A,B),
inference(resolve,[status(thm)],[c_19643,c_31547]) ).
cnf(c_31548,plain,
( cong(sK1,A,sK1,B)
| ~ midp(A,A,B) ),
inference(resolve,[status(thm)],[c_19731,c_281]) ).
cnf(c_22047,plain,
cong(sK1,A,sK1,B),
inference(resolve,[status(thm)],[c_19625,c_31548]) ).
cnf(c_22965,plain,
eqangle(sK1,A,A,B,A,B,sK1,B),
inference(resolve,[status(thm)],[c_22047,c_285]) ).
cnf(c_27297,plain,
eqangle(A,B,sK1,B,A,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_14352,c_311]) ).
cnf(c_27377,plain,
eqangle(A,sK1,sK1,sK1,sK7,sK1,sK7,sK1),
inference(resolve,[status(thm)],[c_15259,c_314]) ).
cnf(c_27992,plain,
eqangle(A,B,C,D,A,B,E,F),
inference(resolve,[status(thm)],[c_17654,c_313]) ).
cnf(c_28434,plain,
( eqangle(sK1,A,A,B,C,D,E,F)
| ~ eqangle(A,B,sK1,B,C,D,E,F) ),
inference(resolve,[status(thm)],[c_22965,c_310]) ).
cnf(c_30798,plain,
( eqangle(A,F,sK1,F,B,C,D,E)
| ~ eqangle(A,sK1,sK1,sK1,B,C,D,E) ),
inference(resolve,[status(thm)],[c_27297,c_310]) ).
cnf(c_30864,plain,
( eqangle(E,sK1,sK1,sK1,A,B,C,D)
| ~ eqangle(sK7,sK1,sK7,sK1,A,B,C,D) ),
inference(resolve,[status(thm)],[c_27377,c_310]) ).
cnf(c_31382,plain,
eqangle(A,B,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_27992,c_311]) ).
cnf(c_31388,plain,
eqangle(A,sK1,sK1,sK1,B,C,D,E),
inference(resolve,[status(thm)],[c_31382,c_30864]) ).
cnf(c_31462,plain,
eqangle(A,B,sK1,B,C,D,E,F),
inference(resolve,[status(thm)],[c_31388,c_30798]) ).
cnf(c_31513,plain,
eqangle(sK1,A,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_31462,c_28434]) ).
cnf(c_31514,plain,
$false,
inference(resolve,[status(thm)],[c_31513,c_222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO639+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.60 % Computer : n009.cluster.edu
% 0.18/5.60 % Model : x86_64 x86_64
% 0.18/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.60 % Memory : 8046.5625MB
% 0.18/5.60 % OS : Linux 6.8.0-71-generic
% 0.18/5.60 % CPULimit : 300
% 0.18/5.60 % WCLimit : 300
% 0.18/5.60 % DateTime : Fri Sep 25 13:46:19 UTC 2026
% 0.18/5.61 % CPUTime :
% 0.18/5.61 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/5.61 % Process 1725713 was started by sandbox2 on n009,
% 0.18/5.61 % Fri Sep 25 13:46:19 2026
% 0.18/5.61 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.18/5.64
% 0.18/5.64 % From the command line: assign(max_seconds, 300).
% 181.38/29.73
% 181.38/29.73 % given #500 (T,wt=9): 2140 coll(c3,c5,c9). [resolve(2136,a,748,a)].
% 181.38/29.73
% 181.38/29.73 % given #1000 (T,wt=13): 829 -coll(c2,c2,A) | coll(A,c8,c2). [resolve(737,a,328,b)].
% 181.38/29.73
% 181.38/29.73 % given #1500 (W,wt=13): 2441 -coll(c8,c8,A) | coll(c7,A,c8). [resolve(2337,a,328,a)].
% 181.38/29.73
% 181.38/29.73 % given #2000 (T,wt=13): 3145 -coll(c5,c8,A) | coll(c4,A,c5). [resolve(3074,a,328,a)].
% 181.38/29.73
% 181.38/29.73 % given #2500 (T,wt=14): 697 -midp(c6,A,B) | para(c3,A,c5,B). [resolve(597,a,273,a)].
% 181.38/29.73
% 181.38/29.73 % given #3000 (W,wt=14): 6434 eqangle(c6,c6,A,B,c5,c6,A,B). [resolve(5936,a,292,a)].
% 181.38/29.73
% 181.38/29.73 % given #3500 (T,wt=10): 12610 perp(A,c3,c3,c6). [back_unit_del(11943),unit_del(a,12585)].
% 181.38/29.73
% 181.38/29.73 % given #4000 (T,wt=10): 18351 perp(c5,A,c5,c14). [resolve(17992,a,324,a)].
% 181.38/29.73
% 181.38/29.73 % given #4500 (W,wt=10): 24731 cong(A,c1,c4,c1). [resolve(24648,a,309,a)].
% 181.38/29.73
% 181.38/29.73 % given #5000 (T,wt=14): 11411 eqratio(A,c6,c6,c5,A,c5,c5,c3). [back_unit_del(4369),unit_del(a,11124),unit_del(b,11146)].
% 181.38/29.73
% 181.38/29.73 % given #5500 (T,wt=14): 24922 eqratio(c6,c5,c5,A,B,C,C,D). [back_unit_del(20009),unit_del(a,24769)].
% 181.38/29.73
% 181.38/29.73 % given #6000 (W,wt=14): 26722 eqratio(c6,c3,A,c6,c6,c5,A,c6). [resolve(11403,a,305,a)].
% 181.38/29.73
% 181.38/29.73 % given #6500 (T,wt=14): 27675 eqangle(A,c5,c16,c5,A,c8,c16,c8). [resolve(16334,a,311,a)].
% 181.38/29.73
% 181.38/29.73 % SZS status Theorem for theBenchmark
% 181.38/29.73
% 181.38/29.73 % Proof 1 at 6.24 (+ 1.51) seconds.
% 181.38/29.73 % Length of proof is 369.
% 181.38/29.73 % Level of proof is 49.
% 181.38/29.73 % Maximum clause weight is 38.000.
% 181.38/29.73 % Given clauses 6653.
% 181.38/29.73
% 181.38/29.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------