%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO617+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 : n018.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 07:18:14 AM UTC 2026
% Result : Theorem 55.03s 8.44s
% Output : CNFRefutation 55.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 38
% Syntax : Number of formulae : 260 ( 109 unt; 0 def)
% Number of atoms : 506 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 416 ( 170 ~; 166 |; 41 &)
% ( 0 <=>; 39 =>; 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 : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 655 ( 109 sgn 201 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('theBenchmark.p',ruleD1) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('theBenchmark.p',ruleD2) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,D)
& coll(A,B,C) )
=> coll(C,D,A) ),
file('theBenchmark.p',ruleD3) ).
fof(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(ruleD10,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& para(A,B,C,D) )
=> perp(A,B,E,F) ),
file('theBenchmark.p',ruleD10) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('theBenchmark.p',ruleD11) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,C)
& cong(O,A,O,B) )
=> circle(O,A,B,C) ),
file('theBenchmark.p',ruleD12) ).
fof(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(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(ruleD49,axiom,
! [A,B,C,O,X] :
( ( eqangle(A,X,A,B,C,A,C,B)
& circle(O,A,B,C) )
=> perp(O,A,A,X) ),
file('theBenchmark.p',ruleD49) ).
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(ruleD55,axiom,
! [A,B,M,O] :
( ( perp(O,M,A,B)
& midp(M,A,B) )
=> cong(O,A,O,B) ),
file('theBenchmark.p',ruleD55) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(A,B,P,Q) ),
file('theBenchmark.p',ruleD56) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cyclic(A,B,P,Q)
& cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(P,A,A,Q) ),
file('theBenchmark.p',ruleD57) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( para(A,D,B,C)
& para(A,C,B,D)
& midp(M,A,B) )
=> midp(M,C,D) ),
file('theBenchmark.p',ruleD64) ).
fof(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(ruleD73,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( para(P,Q,U,V)
& eqangle(A,B,C,D,P,Q,U,V) )
=> para(A,B,C,D) ),
file('theBenchmark.p',ruleD73) ).
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(exemplo6GDDFULL618079,conjecture,
! [A,B,C,D,E,F] :
( ( coll(F,A,B)
& perp(F,C,A,B)
& coll(E,A,B)
& eqangle(E,C,C,B,E,C,C,A)
& circle(D,A,B,C) )
=> eqangle(F,C,C,E,E,C,C,D) ),
file('theBenchmark.p',exemplo6GDDFULL618079) ).
fof(exemplo6GDDFULL618079_neg,negated_conjecture,
~ ! [A,B,C,D,E,F] :
( ( coll(F,A,B)
& perp(F,C,A,B)
& coll(E,A,B)
& eqangle(E,C,C,B,E,C,C,A)
& circle(D,A,B,C) )
=> eqangle(F,C,C,E,E,C,C,D) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618079]) ).
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_98,plain,
( perp(A,B,B,E)
| ~ eqangle(B,E,B,C,D,B,D,C)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD49]) ).
cnf(c_100,plain,
( midp(E,C,D)
| ~ eqangle(B,C,B,D,A,C,A,E)
| ~ coll(E,C,D)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD51]) ).
fof(nnf_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]) ).
fof(nnf_95,plain,
? [A,B,C,D,E,F] :
( ~ eqangle(F,C,C,E,E,C,C,D)
& coll(F,A,B)
& perp(F,C,A,B)
& coll(E,A,B)
& eqangle(E,C,C,B,E,C,C,A)
& circle(D,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL618079_neg]) ).
fof(sk_exemplo6GDDFULL618079_neg,plain,
( ~ eqangle(sK5,sK4,sK4,sK6,sK6,sK4,sK4,sK1)
& coll(sK5,sK2,sK3)
& perp(sK5,sK4,sK2,sK3)
& coll(sK6,sK2,sK3)
& eqangle(sK6,sK4,sK4,sK3,sK6,sK4,sK4,sK2)
& circle(sK1,sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK6,sK5]),skolemize(A,sK2),skolemize(B,sK3),skolemize(C,sK4),skolemize(D,sK1),skolemize(E,sK6),skolemize(F,sK5)],[nnf_95]) ).
cnf(c_109,negated_conjecture,
circle(sK1,sK2,sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618079_neg]) ).
cnf(c_113,negated_conjecture,
( midp(A,sK3,sK4)
| ~ eqangle(sK2,sK3,sK2,sK4,sK1,sK3,sK1,A)
| ~ coll(A,sK3,sK4) ),
inference(resolve,[status(thm)],[c_109,c_100]) ).
cnf(c_127,plain,
( midp(E,C,B)
| ~ eqangle(A,C,A,B,sK0(A,C,B,D),C,sK0(A,C,B,D),E)
| ~ coll(E,C,B)
| ~ cyclic(A,C,B,D)
| ~ perp(A,B,B,C) ),
inference(resolve,[status(thm)],[c_108,c_100]) ).
cnf(c_160,plain,
( ~ cong(E,A,E,D)
| ~ cong(E,A,E,C)
| perp(E,A,A,B)
| ~ eqangle(A,B,A,C,D,A,D,C) ),
inference(resolve,[status(thm)],[c_98,c_97]) ).
cnf(c_161,plain,
( ~ cong(A,B,A,E)
| ~ cong(A,B,A,D)
| eqangle(B,C,B,D,E,B,E,D)
| ~ perp(A,B,B,C) ),
inference(resolve,[status(thm)],[c_96,c_97]) ).
cnf(c_162,negated_conjecture,
~ eqangle(sK5,sK4,sK4,sK6,sK6,sK4,sK4,sK1),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618079_neg]) ).
cnf(c_163,negated_conjecture,
coll(sK5,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618079_neg]) ).
cnf(c_164,negated_conjecture,
perp(sK5,sK4,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618079_neg]) ).
cnf(c_165,negated_conjecture,
coll(sK6,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618079_neg]) ).
cnf(c_166,negated_conjecture,
eqangle(sK6,sK4,sK4,sK3,sK6,sK4,sK4,sK2),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL618079_neg]) ).
cnf(c_199,plain,
( para(A,B,C,D)
| ~ para(E,F,V6,V7)
| ~ eqangle(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD73]) ).
cnf(c_203,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_204,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_205,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_207,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_214,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_215,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_216,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_223,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_224,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_226,plain,
( eqangle(C,A,C,B,D,A,D,B)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD41]) ).
cnf(c_227,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_228,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_243,plain,
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD24]) ).
cnf(c_244,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_245,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_246,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_248,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_249,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_250,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_251,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_252,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_253,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_255,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_256,plain,
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD10]) ).
cnf(c_257,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_258,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_259,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_261,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_263,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_264,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_265,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_283,plain,
( ~ cong(D,A,D,C)
| perp(D,A,A,B)
| ~ eqangle(A,B,A,C,C,A,C,C) ),
inference(factor,[status(thm)],[c_160]) ).
cnf(c_284,plain,
( ~ cong(A,B,A,D)
| eqangle(B,C,B,D,D,B,D,D)
| ~ perp(A,B,B,C) ),
inference(factor,[status(thm)],[c_161]) ).
cnf(c_305,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_207]) ).
cnf(c_313,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_223]) ).
cnf(c_314,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_250]) ).
cnf(c_319,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_263]) ).
cnf(c_423,plain,
( midp(sK5,sK2,sK3)
| ~ cong(sK5,sK2,sK5,sK3) ),
inference(resolve,[status(thm)],[c_204,c_163]) ).
cnf(c_429,plain,
( cong(sK5,sK2,sK5,sK3)
| ~ midp(sK4,sK2,sK3) ),
inference(resolve,[status(thm)],[c_216,c_164]) ).
cnf(c_438,plain,
eqangle(sK6,sK4,sK6,sK4,sK4,sK3,sK4,sK2),
inference(resolve,[status(thm)],[c_246,c_166]) ).
cnf(c_440,plain,
eqangle(sK4,sK3,sK6,sK4,sK4,sK2,sK6,sK4),
inference(resolve,[status(thm)],[c_248,c_166]) ).
cnf(c_448,plain,
perp(sK2,sK3,sK5,sK4),
inference(resolve,[status(thm)],[c_258,c_164]) ).
cnf(c_454,plain,
( coll(A,sK3,sK6)
| ~ coll(sK6,sK2,A) ),
inference(resolve,[status(thm)],[c_263,c_165]) ).
cnf(c_456,plain,
coll(sK2,sK6,sK3),
inference(resolve,[status(thm)],[c_264,c_165]) ).
cnf(c_458,plain,
coll(sK6,sK3,sK2),
inference(resolve,[status(thm)],[c_265,c_165]) ).
cnf(c_472,plain,
coll(sK3,sK3,sK6),
inference(resolve,[status(thm)],[c_319,c_165]) ).
cnf(c_488,plain,
coll(sK2,sK3,sK6),
inference(resolve,[status(thm)],[c_456,c_265]) ).
cnf(c_549,plain,
coll(sK2,sK2,sK6),
inference(resolve,[status(thm)],[c_458,c_319]) ).
cnf(c_640,plain,
coll(sK3,sK6,sK3),
inference(resolve,[status(thm)],[c_472,c_265]) ).
cnf(c_742,plain,
coll(sK6,sK6,sK2),
inference(resolve,[status(thm)],[c_488,c_319]) ).
cnf(c_833,plain,
( coll(A,sK6,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_549,c_263]) ).
cnf(c_834,plain,
( coll(sK6,A,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_549,c_263]) ).
cnf(c_1042,plain,
( midp(sK3,sK6,sK3)
| ~ eqangle(A,sK6,A,sK3,sK0(A,sK6,sK3,B),sK6,sK0(A,sK6,sK3,B),sK3)
| ~ cyclic(A,sK6,sK3,B)
| ~ perp(A,sK3,sK3,sK6) ),
inference(resolve,[status(thm)],[c_640,c_127]) ).
cnf(c_1223,plain,
coll(sK6,sK2,sK6),
inference(resolve,[status(thm)],[c_742,c_265]) ).
cnf(c_1752,plain,
( coll(A,sK6,sK6)
| ~ coll(sK6,sK2,A) ),
inference(resolve,[status(thm)],[c_1223,c_263]) ).
cnf(c_2217,plain,
perp(sK2,sK3,sK4,sK5),
inference(resolve,[status(thm)],[c_448,c_259]) ).
cnf(c_2253,plain,
perp(sK4,sK5,sK2,sK3),
inference(resolve,[status(thm)],[c_2217,c_258]) ).
cnf(c_2293,plain,
( cong(sK4,sK2,sK4,sK3)
| ~ midp(sK5,sK2,sK3) ),
inference(resolve,[status(thm)],[c_2253,c_216]) ).
cnf(c_3374,plain,
( para(sK6,sK4,sK6,sK4)
| ~ para(sK4,sK3,sK4,sK2) ),
inference(resolve,[status(thm)],[c_438,c_199]) ).
cnf(c_3416,plain,
para(sK4,sK3,sK4,sK2),
inference(resolve,[status(thm)],[c_440,c_228]) ).
cnf(c_3419,plain,
para(sK6,sK4,sK6,sK4),
inference(resolve,[status(thm)],[c_3416,c_3374]) ).
cnf(c_3423,plain,
para(sK4,sK2,sK4,sK3),
inference(resolve,[status(thm)],[c_3416,c_261]) ).
cnf(c_3427,plain,
eqangle(sK4,sK3,A,B,sK4,sK2,A,B),
inference(resolve,[status(thm)],[c_3416,c_227]) ).
cnf(c_46520,plain,
( midp(A,sK2,sK3)
| ~ para(sK4,sK2,sK4,sK3)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_3416,c_207]) ).
cnf(c_3430,plain,
( midp(A,sK2,sK3)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_3423,c_46520]) ).
cnf(c_3433,plain,
coll(sK4,sK3,sK2),
inference(resolve,[status(thm)],[c_3416,c_205]) ).
cnf(c_3459,plain,
coll(sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_3433,c_319]) ).
cnf(c_3473,plain,
coll(sK4,sK2,sK3),
inference(resolve,[status(thm)],[c_3433,c_265]) ).
cnf(c_3501,plain,
coll(sK6,sK4,sK2),
inference(resolve,[status(thm)],[c_3459,c_834]) ).
cnf(c_3502,plain,
coll(sK4,sK6,sK2),
inference(resolve,[status(thm)],[c_3459,c_833]) ).
cnf(c_3558,plain,
coll(sK3,sK3,sK4),
inference(resolve,[status(thm)],[c_3473,c_319]) ).
cnf(c_3805,plain,
coll(sK6,sK2,sK4),
inference(resolve,[status(thm)],[c_3501,c_265]) ).
cnf(c_3846,plain,
coll(sK4,sK2,sK6),
inference(resolve,[status(thm)],[c_3502,c_265]) ).
cnf(c_3967,plain,
coll(sK4,sK4,sK3),
inference(resolve,[status(thm)],[c_3558,c_319]) ).
cnf(c_3982,plain,
coll(sK3,sK4,sK3),
inference(resolve,[status(thm)],[c_3558,c_265]) ).
cnf(c_4198,plain,
coll(sK4,sK6,sK6),
inference(resolve,[status(thm)],[c_3805,c_1752]) ).
cnf(c_4199,plain,
coll(sK4,sK3,sK6),
inference(resolve,[status(thm)],[c_3805,c_454]) ).
cnf(c_4261,plain,
coll(sK6,sK6,sK4),
inference(resolve,[status(thm)],[c_3846,c_319]) ).
cnf(c_4562,plain,
coll(sK4,sK3,sK4),
inference(resolve,[status(thm)],[c_3967,c_265]) ).
cnf(c_4622,plain,
( midp(sK3,sK4,sK3)
| ~ eqangle(A,sK4,A,sK3,sK0(A,sK4,sK3,B),sK4,sK0(A,sK4,sK3,B),sK3)
| ~ cyclic(A,sK4,sK3,B)
| ~ perp(A,sK3,sK3,sK4) ),
inference(resolve,[status(thm)],[c_3982,c_127]) ).
cnf(c_5227,plain,
( midp(sK4,sK6,sK6)
| ~ cong(sK4,sK6,sK4,sK6) ),
inference(resolve,[status(thm)],[c_4198,c_204]) ).
cnf(c_5266,plain,
( midp(sK4,sK3,sK6)
| ~ cong(sK4,sK3,sK4,sK6) ),
inference(resolve,[status(thm)],[c_4199,c_204]) ).
cnf(c_5413,plain,
( cyclic(A,sK4,sK6,sK6)
| ~ eqangle(sK6,A,sK6,sK4,sK6,A,sK6,sK4) ),
inference(resolve,[status(thm)],[c_4261,c_224]) ).
cnf(c_5644,plain,
( midp(sK4,sK3,sK4)
| ~ eqangle(sK2,sK3,sK2,sK4,sK1,sK3,sK1,sK4) ),
inference(resolve,[status(thm)],[c_4562,c_113]) ).
cnf(c_6023,plain,
( midp(A,sK4,sK4)
| ~ midp(A,sK6,sK6) ),
inference(resolve,[status(thm)],[c_3419,c_305]) ).
cnf(c_6027,plain,
eqangle(sK6,sK4,A,B,sK6,sK4,A,B),
inference(resolve,[status(thm)],[c_3419,c_227]) ).
cnf(c_6384,plain,
( cong(sK3,A,sK2,A)
| ~ cyclic(sK3,A,sK4,sK4)
| ~ cyclic(sK3,A,sK4,A)
| ~ cyclic(sK3,A,sK4,sK2) ),
inference(resolve,[status(thm)],[c_3427,c_223]) ).
cnf(c_6411,plain,
( cong(sK4,sK6,sK4,sK6)
| ~ cyclic(sK4,sK6,sK6,sK6)
| ~ cyclic(sK4,sK6,sK6,sK4) ),
inference(resolve,[status(thm)],[c_6027,c_313]) ).
cnf(c_6414,plain,
eqangle(A,B,sK6,sK4,A,B,sK6,sK4),
inference(resolve,[status(thm)],[c_6027,c_248]) ).
cnf(c_6417,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK6,sK6)
| ~ cyclic(sK4,A,sK6,A)
| ~ cyclic(sK4,A,sK6,sK4) ),
inference(resolve,[status(thm)],[c_6027,c_223]) ).
cnf(c_6425,plain,
cyclic(A,sK4,sK6,sK6),
inference(resolve,[status(thm)],[c_6414,c_5413]) ).
cnf(c_6428,plain,
cyclic(sK4,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_6425,c_314]) ).
cnf(c_6436,plain,
cyclic(A,sK6,sK4,sK6),
inference(resolve,[status(thm)],[c_6425,c_252]) ).
cnf(c_6437,plain,
cyclic(sK4,A,sK6,sK6),
inference(resolve,[status(thm)],[c_6425,c_251]) ).
cnf(c_6464,plain,
( cong(sK4,sK6,sK4,sK6)
| ~ cyclic(sK4,sK6,sK6,sK4) ),
inference(resolve,[status(thm)],[c_6437,c_6411]) ).
cnf(c_6475,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK6,A)
| ~ cyclic(sK4,A,sK6,sK4) ),
inference(resolve,[status(thm)],[c_6437,c_6417]) ).
cnf(c_6485,plain,
( cyclic(sK6,sK6,A,sK6)
| ~ cyclic(sK4,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_6428,c_250]) ).
cnf(c_6540,plain,
cyclic(A,sK6,sK6,sK4),
inference(resolve,[status(thm)],[c_6436,c_253]) ).
cnf(c_6541,plain,
cyclic(sK6,A,sK4,sK6),
inference(resolve,[status(thm)],[c_6436,c_251]) ).
cnf(c_6569,plain,
cong(sK4,sK6,sK4,sK6),
inference(resolve,[status(thm)],[c_6540,c_6464]) ).
cnf(c_6593,plain,
midp(sK4,sK6,sK6),
inference(resolve,[status(thm)],[c_6569,c_5227]) ).
cnf(c_6597,plain,
midp(sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_6593,c_6023]) ).
cnf(c_6689,plain,
midp(sK4,sK2,sK3),
inference(resolve,[status(thm)],[c_6597,c_3430]) ).
cnf(c_6744,plain,
cong(sK5,sK2,sK5,sK3),
inference(resolve,[status(thm)],[c_6689,c_429]) ).
cnf(c_6775,plain,
midp(sK5,sK2,sK3),
inference(resolve,[status(thm)],[c_6744,c_423]) ).
cnf(c_6781,plain,
cong(sK4,sK2,sK4,sK3),
inference(resolve,[status(thm)],[c_6775,c_2293]) ).
cnf(c_7239,plain,
cyclic(A,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_6437,c_314]) ).
cnf(c_7247,plain,
cyclic(sK4,sK6,A,sK6),
inference(resolve,[status(thm)],[c_6437,c_252]) ).
cnf(c_7589,plain,
cyclic(sK6,A,sK6,sK4),
inference(resolve,[status(thm)],[c_6540,c_251]) ).
cnf(c_7634,plain,
cyclic(sK6,sK4,A,sK6),
inference(resolve,[status(thm)],[c_6541,c_252]) ).
cnf(c_8453,plain,
cong(sK4,sK2,sK3,sK4),
inference(resolve,[status(thm)],[c_6781,c_244]) ).
cnf(c_9072,plain,
cyclic(sK6,A,sK6,sK6),
inference(resolve,[status(thm)],[c_7239,c_251]) ).
cnf(c_9104,plain,
cyclic(sK4,sK6,sK6,A),
inference(resolve,[status(thm)],[c_7247,c_253]) ).
cnf(c_9136,plain,
cyclic(sK6,sK6,A,sK6),
inference(resolve,[status(thm)],[c_9104,c_6485]) ).
cnf(c_9728,plain,
cyclic(sK6,sK6,A,sK4),
inference(resolve,[status(thm)],[c_7589,c_252]) ).
cnf(c_9767,plain,
( cyclic(sK4,A,sK6,B)
| ~ cyclic(sK6,sK4,A,B) ),
inference(resolve,[status(thm)],[c_7634,c_250]) ).
cnf(c_9964,plain,
cong(sK3,sK4,sK4,sK2),
inference(resolve,[status(thm)],[c_8453,c_243]) ).
cnf(c_10168,plain,
( cyclic(A,sK6,B,sK6)
| ~ cyclic(sK6,A,sK6,B) ),
inference(resolve,[status(thm)],[c_9072,c_250]) ).
cnf(c_46521,plain,
( cyclic(sK6,sK6,A,B)
| ~ cyclic(sK4,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_9104,c_250]) ).
cnf(c_10198,plain,
cyclic(sK6,sK6,A,B),
inference(resolve,[status(thm)],[c_9104,c_46521]) ).
cnf(c_46522,plain,
( cyclic(sK6,A,B,sK6)
| ~ cyclic(sK6,sK6,A,B) ),
inference(resolve,[status(thm)],[c_9136,c_250]) ).
cnf(c_10349,plain,
cyclic(sK6,A,B,sK6),
inference(resolve,[status(thm)],[c_10198,c_46522]) ).
cnf(c_46523,plain,
( cyclic(sK6,A,sK6,B)
| ~ cyclic(sK6,sK6,A,B) ),
inference(resolve,[status(thm)],[c_9136,c_250]) ).
cnf(c_10350,plain,
cyclic(sK6,A,sK6,B),
inference(resolve,[status(thm)],[c_10198,c_46523]) ).
cnf(c_10378,plain,
cyclic(A,sK6,B,sK6),
inference(resolve,[status(thm)],[c_10350,c_10168]) ).
cnf(c_46524,plain,
( cyclic(sK6,A,B,sK4)
| ~ cyclic(sK6,sK6,A,B) ),
inference(resolve,[status(thm)],[c_9728,c_250]) ).
cnf(c_10599,plain,
cyclic(sK6,A,B,sK4),
inference(resolve,[status(thm)],[c_10198,c_46524]) ).
cnf(c_46525,plain,
( cyclic(sK6,A,sK4,B)
| ~ cyclic(sK6,sK6,A,B) ),
inference(resolve,[status(thm)],[c_9728,c_250]) ).
cnf(c_10600,plain,
cyclic(sK6,A,sK4,B),
inference(resolve,[status(thm)],[c_10198,c_46525]) ).
cnf(c_11264,plain,
cong(sK3,sK4,sK2,sK4),
inference(resolve,[status(thm)],[c_9964,c_244]) ).
cnf(c_46526,plain,
( cyclic(sK6,A,B,C)
| ~ cyclic(sK6,sK6,A,B) ),
inference(resolve,[status(thm)],[c_10198,c_250]) ).
cnf(c_11499,plain,
cyclic(sK6,A,B,C),
inference(resolve,[status(thm)],[c_10198,c_46526]) ).
cnf(c_11527,plain,
cyclic(sK4,A,sK6,B),
inference(resolve,[status(thm)],[c_11499,c_9767]) ).
cnf(c_46527,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK6,A) ),
inference(resolve,[status(thm)],[c_11527,c_6475]) ).
cnf(c_11533,plain,
cong(sK4,A,sK4,A),
inference(resolve,[status(thm)],[c_11527,c_46527]) ).
cnf(c_46528,plain,
( cyclic(A,B,sK6,C)
| ~ cyclic(sK6,A,B,C) ),
inference(resolve,[status(thm)],[c_10349,c_250]) ).
cnf(c_12531,plain,
cyclic(A,B,sK6,C),
inference(resolve,[status(thm)],[c_11499,c_46528]) ).
cnf(c_46529,plain,
( cyclic(A,sK6,B,C)
| ~ cyclic(sK6,A,sK6,B) ),
inference(resolve,[status(thm)],[c_10350,c_250]) ).
cnf(c_12647,plain,
cyclic(A,sK6,B,C),
inference(resolve,[status(thm)],[c_12531,c_46529]) ).
cnf(c_12694,plain,
( midp(sK3,sK6,sK3)
| ~ eqangle(A,sK6,A,sK3,sK0(A,sK6,sK3,B),sK6,sK0(A,sK6,sK3,B),sK3)
| ~ perp(A,sK3,sK3,sK6) ),
inference(resolve,[status(thm)],[c_12647,c_1042]) ).
cnf(c_12709,plain,
eqangle(A,B,A,sK6,sK6,B,sK6,sK6),
inference(resolve,[status(thm)],[c_10378,c_226]) ).
cnf(c_46530,plain,
( cyclic(A,B,C,sK4)
| ~ cyclic(sK6,A,B,C) ),
inference(resolve,[status(thm)],[c_10599,c_250]) ).
cnf(c_13091,plain,
cyclic(A,B,C,sK4),
inference(resolve,[status(thm)],[c_11499,c_46530]) ).
cnf(c_46531,plain,
( cyclic(A,B,sK4,C)
| ~ cyclic(sK6,A,B,C) ),
inference(resolve,[status(thm)],[c_10599,c_250]) ).
cnf(c_13092,plain,
cyclic(A,B,sK4,C),
inference(resolve,[status(thm)],[c_11499,c_46531]) ).
cnf(c_46532,plain,
( cong(sK3,A,sK2,A)
| ~ cyclic(sK3,A,sK4,sK4)
| ~ cyclic(sK3,A,sK4,A) ),
inference(resolve,[status(thm)],[c_13092,c_6384]) ).
cnf(c_46533,plain,
( cong(sK3,A,sK2,A)
| ~ cyclic(sK3,A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_13092,c_46532]) ).
cnf(c_13154,plain,
cong(sK3,A,sK2,A),
inference(resolve,[status(thm)],[c_13091,c_46533]) ).
cnf(c_46534,plain,
( cyclic(A,sK4,B,C)
| ~ cyclic(sK6,A,sK4,B) ),
inference(resolve,[status(thm)],[c_10600,c_250]) ).
cnf(c_13205,plain,
cyclic(A,sK4,B,C),
inference(resolve,[status(thm)],[c_13092,c_46534]) ).
cnf(c_13250,plain,
( midp(sK3,sK4,sK3)
| ~ eqangle(A,sK4,A,sK3,sK0(A,sK4,sK3,B),sK4,sK0(A,sK4,sK3,B),sK3)
| ~ perp(A,sK3,sK3,sK4) ),
inference(resolve,[status(thm)],[c_13205,c_4622]) ).
cnf(c_46535,plain,
( perp(A,sK3,sK3,sK4)
| ~ cyclic(sK3,sK2,A,sK4)
| ~ cong(sK3,A,sK2,A) ),
inference(resolve,[status(thm)],[c_11264,c_214]) ).
cnf(c_46536,plain,
( perp(A,sK3,sK3,sK4)
| ~ cyclic(sK3,sK2,A,sK4) ),
inference(resolve,[status(thm)],[c_13154,c_46535]) ).
cnf(c_18331,plain,
perp(A,sK3,sK3,sK4),
inference(resolve,[status(thm)],[c_13091,c_46536]) ).
cnf(c_46537,plain,
( perp(sK4,sK3,sK3,A)
| ~ cyclic(sK3,sK2,sK4,A)
| ~ cong(sK3,A,sK2,A) ),
inference(resolve,[status(thm)],[c_11264,c_214]) ).
cnf(c_46538,plain,
( perp(sK4,sK3,sK3,A)
| ~ cyclic(sK3,sK2,sK4,A) ),
inference(resolve,[status(thm)],[c_13154,c_46537]) ).
cnf(c_18332,plain,
perp(sK4,sK3,sK3,A),
inference(resolve,[status(thm)],[c_13092,c_46538]) ).
cnf(c_18340,plain,
( midp(sK3,sK4,sK3)
| ~ eqangle(A,sK4,A,sK3,sK0(A,sK4,sK3,B),sK4,sK0(A,sK4,sK3,B),sK3) ),
inference(resolve,[status(thm)],[c_18331,c_13250]) ).
cnf(c_46539,plain,
( cyclic(A,B,C,D)
| ~ cyclic(sK6,A,B,C) ),
inference(resolve,[status(thm)],[c_11499,c_250]) ).
cnf(c_18730,plain,
cyclic(A,B,C,D),
inference(resolve,[status(thm)],[c_11499,c_46539]) ).
cnf(c_18770,plain,
eqangle(A,B,A,C,D,B,D,C),
inference(resolve,[status(thm)],[c_18730,c_226]) ).
cnf(c_18777,plain,
( midp(sK3,sK6,sK3)
| ~ perp(A,sK3,sK3,sK6) ),
inference(resolve,[status(thm)],[c_18770,c_12694]) ).
cnf(c_18788,plain,
midp(sK3,sK4,sK3),
inference(resolve,[status(thm)],[c_18770,c_18340]) ).
cnf(c_18815,plain,
midp(sK4,sK3,sK4),
inference(resolve,[status(thm)],[c_18770,c_5644]) ).
cnf(c_19059,plain,
midp(sK3,sK3,sK4),
inference(resolve,[status(thm)],[c_18788,c_255]) ).
cnf(c_19102,plain,
cong(sK4,sK3,sK4,sK4),
inference(resolve,[status(thm)],[c_18815,c_203]) ).
cnf(c_46540,plain,
( cong(A,sK3,A,sK4)
| ~ perp(A,sK3,sK3,sK4) ),
inference(resolve,[status(thm)],[c_19059,c_216]) ).
cnf(c_19446,plain,
cong(A,sK3,A,sK4),
inference(resolve,[status(thm)],[c_18331,c_46540]) ).
cnf(c_46541,plain,
( perp(sK4,sK4,A,B)
| ~ cong(sK4,A,sK4,A) ),
inference(resolve,[status(thm)],[c_11533,c_215]) ).
cnf(c_20825,plain,
perp(sK4,sK4,A,B),
inference(resolve,[status(thm)],[c_11533,c_46541]) ).
cnf(c_20839,plain,
( ~ cong(sK4,A,sK4,C)
| eqangle(A,B,A,A,C,A,C,A)
| ~ perp(sK4,A,A,B) ),
inference(resolve,[status(thm)],[c_11533,c_161]) ).
cnf(c_46542,plain,
( eqangle(sK3,A,sK3,sK4,sK4,sK3,sK4,sK4)
| ~ perp(sK4,sK3,sK3,A) ),
inference(resolve,[status(thm)],[c_19102,c_284]) ).
cnf(c_26249,plain,
eqangle(sK3,A,sK3,sK4,sK4,sK3,sK4,sK4),
inference(resolve,[status(thm)],[c_18332,c_46542]) ).
cnf(c_46543,plain,
( perp(B,sK3,sK3,A)
| ~ eqangle(sK3,A,sK3,sK4,sK4,sK3,sK4,sK4) ),
inference(resolve,[status(thm)],[c_19446,c_283]) ).
cnf(c_26542,plain,
perp(A,sK3,sK3,B),
inference(resolve,[status(thm)],[c_26249,c_46543]) ).
cnf(c_26566,plain,
midp(sK3,sK6,sK3),
inference(resolve,[status(thm)],[c_26542,c_18777]) ).
cnf(c_26604,plain,
midp(sK3,sK3,sK6),
inference(resolve,[status(thm)],[c_26566,c_255]) ).
cnf(c_46544,plain,
( cong(A,sK3,A,sK6)
| ~ perp(A,sK3,sK3,sK6) ),
inference(resolve,[status(thm)],[c_26604,c_216]) ).
cnf(c_26726,plain,
cong(A,sK3,A,sK6),
inference(resolve,[status(thm)],[c_26542,c_46544]) ).
cnf(c_26742,plain,
midp(sK4,sK3,sK6),
inference(resolve,[status(thm)],[c_26726,c_5266]) ).
cnf(c_26789,plain,
midp(sK4,sK6,sK3),
inference(resolve,[status(thm)],[c_26742,c_255]) ).
cnf(c_26897,plain,
( midp(sK4,A,B)
| ~ para(sK6,B,sK3,A)
| ~ para(sK6,A,sK3,B) ),
inference(resolve,[status(thm)],[c_26789,c_207]) ).
cnf(c_27783,plain,
perp(A,B,sK4,sK4),
inference(resolve,[status(thm)],[c_20825,c_258]) ).
cnf(c_46545,plain,
( para(A,B,C,D)
| ~ perp(A,B,sK4,sK4) ),
inference(resolve,[status(thm)],[c_20825,c_257]) ).
cnf(c_27784,plain,
para(A,B,C,D),
inference(resolve,[status(thm)],[c_27783,c_46545]) ).
cnf(c_46546,plain,
( perp(A,B,C,D)
| ~ para(A,B,sK4,sK4) ),
inference(resolve,[status(thm)],[c_20825,c_256]) ).
cnf(c_27785,plain,
perp(A,B,C,D),
inference(resolve,[status(thm)],[c_27784,c_46546]) ).
cnf(c_46547,plain,
( midp(sK4,B,A)
| ~ para(sK6,A,sK3,B) ),
inference(resolve,[status(thm)],[c_27784,c_26897]) ).
cnf(c_27798,plain,
midp(sK4,A,B),
inference(resolve,[status(thm)],[c_27784,c_46547]) ).
cnf(c_30311,plain,
eqangle(A,B,C,D,E,F,C,D),
inference(resolve,[status(thm)],[c_27784,c_227]) ).
cnf(c_30406,plain,
( ~ cong(sK4,A,sK4,C)
| eqangle(A,B,A,A,C,A,C,A) ),
inference(resolve,[status(thm)],[c_27785,c_20839]) ).
cnf(c_31192,plain,
cong(sK4,A,sK4,B),
inference(resolve,[status(thm)],[c_27798,c_203]) ).
cnf(c_31224,plain,
eqangle(A,B,A,A,C,A,C,A),
inference(resolve,[status(thm)],[c_31192,c_30406]) ).
cnf(c_37172,plain,
eqangle(A,B,B,sK6,sK6,A,sK6,sK6),
inference(resolve,[status(thm)],[c_12709,c_249]) ).
cnf(c_39742,plain,
eqangle(A,B,C,D,A,B,E,F),
inference(resolve,[status(thm)],[c_30311,c_248]) ).
cnf(c_40103,plain,
( eqangle(B,V6,B,B,C,D,E,F)
| ~ eqangle(A,B,A,B,C,D,E,F) ),
inference(resolve,[status(thm)],[c_31224,c_245]) ).
cnf(c_42379,plain,
( eqangle(A,F,F,sK6,B,C,D,E)
| ~ eqangle(sK6,A,sK6,sK6,B,C,D,E) ),
inference(resolve,[status(thm)],[c_37172,c_245]) ).
cnf(c_46405,plain,
eqangle(A,B,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_39742,c_246]) ).
cnf(c_46457,plain,
eqangle(A,B,A,A,C,D,E,F),
inference(resolve,[status(thm)],[c_46405,c_40103]) ).
cnf(c_46518,plain,
eqangle(A,B,B,sK6,C,D,E,F),
inference(resolve,[status(thm)],[c_46457,c_42379]) ).
cnf(c_46519,plain,
$false,
inference(resolve,[status(thm)],[c_46518,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO617+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 13:47:21 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 2082722 was started by sandbox2 on n018,
% 0.16/0.43 % Fri Sep 25 13:47:21 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.45
% 0.16/0.45 % From the command line: assign(max_seconds, 300).
% 55.03/8.44
% 55.03/8.44 % given #500 (W,wt=9): 4488 coll(c5,c2,c3). [resolve(3961,a,265,a)].
% 55.03/8.44
% 55.03/8.44 % given #1000 (T,wt=10): 10565 cyclic(A,c3,c5,c3). [resolve(9721,a,252,a)].
% 55.03/8.44
% 55.03/8.44 % given #1500 (T,wt=10): 22593 perp(c3,A,c5,c3). [resolve(11549,a,258,a)].
% 55.03/8.44
% 55.03/8.44 % given #2000 (A,wt=23): 6383 -eqangle(c3,c1,A,B,C,D,E,F) | eqangle(c3,c2,A,B,C,D,E,F). [resolve(3427,a,245,a)].
% 55.03/8.44
% 55.03/8.44 % given #2500 (T,wt=14): 22708 eqratio(c5,c1,c1,c2,c5,c3,c3,c4). [back_unit_del(17216),unit_del(a,22623)].
% 55.03/8.44
% 55.03/8.44 % given #3000 (W,wt=14): 30922 eqangle(c2,c2,c2,c2,c1,c2,c1,A). [back_unit_del(13940),unit_del(a,30602)].
% 55.03/8.44
% 55.03/8.44 % given #3500 (T,wt=14): 36361 eqangle(A,B,A,B,c5,B,c5,C). [back_unit_del(34761),unit_del(a,36349)].
% 55.03/8.44
% 55.03/8.44 % given #4000 (W,wt=14): 36990 eqangle(c5,c5,c3,c5,c5,A,c3,A). [resolve(9731,a,246,a)].
% 55.03/8.44
% 55.03/8.44 % given #4500 (T,wt=14): 37578 eqangle(A,A,c3,A,c3,A,A,A). [resolve(20824,a,248,a)].
% 55.03/8.44
% 55.03/8.44 % given #5000 (T,wt=14): 38260 eqratio(c1,c3,c1,c6,c3,c4,c6,c2). [resolve(24701,a,238,a)].
% 55.03/8.44
% 55.03/8.44 % given #5500 (A,wt=18): 12632 coll(f10(c5,c6,c5,c6),c5,c6). [back_unit_del(10149),unit_del(a,12580)].
% 55.03/8.44
% 55.03/8.44 % SZS status Theorem for theBenchmark
% 55.03/8.44
% 55.03/8.44 % Proof 1 at 6.25 (+ 1.62) seconds.
% 55.03/8.44 % Length of proof is 227.
% 55.03/8.44 % Level of proof is 41.
% 55.03/8.44 % Maximum clause weight is 45.000.
% 55.03/8.44 % Given clauses 5952.
% 55.03/8.44
% 55.03/8.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------