%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO573+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 : n008.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 07:18:08 AM UTC 2026
% Result : Theorem 34.91s 5.50s
% Output : CNFRefutation 34.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 32
% Syntax : Number of formulae : 257 ( 121 unt; 0 def)
% Number of atoms : 498 ( 0 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 397 ( 156 ~; 152 |; 56 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 550 ( 83 sgn 167 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('theBenchmark.p',ruleD1) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('theBenchmark.p',ruleD2) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,D)
& coll(A,B,C) )
=> coll(C,D,A) ),
file('theBenchmark.p',ruleD3) ).
fof(ruleD4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('theBenchmark.p',ruleD4) ).
fof(ruleD5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('theBenchmark.p',ruleD5) ).
fof(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('theBenchmark.p',ruleD7) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('theBenchmark.p',ruleD8) ).
fof(ruleD9,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& perp(A,B,C,D) )
=> para(A,B,E,F) ),
file('theBenchmark.p',ruleD9) ).
fof(ruleD11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('theBenchmark.p',ruleD11) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,C)
& cong(O,A,O,B) )
=> circle(O,A,B,C) ),
file('theBenchmark.p',ruleD12) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('theBenchmark.p',ruleD14) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('theBenchmark.p',ruleD15) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('theBenchmark.p',ruleD16) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,E)
& cyclic(A,B,C,D) )
=> cyclic(B,C,D,E) ),
file('theBenchmark.p',ruleD17) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ),
file('theBenchmark.p',ruleD19) ).
fof(ruleD23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('theBenchmark.p',ruleD23) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ),
file('theBenchmark.p',ruleD39) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('theBenchmark.p',ruleD40) ).
fof(ruleD42b,axiom,
! [A,B,P,Q] :
( ( coll(P,Q,B)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('theBenchmark.p',ruleD42b) ).
fof(ruleD43,axiom,
! [A,B,C,P,Q,R] :
( ( eqangle(C,A,C,B,R,P,R,Q)
& cyclic(A,B,C,R)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,P) )
=> cong(A,B,P,Q) ),
file('theBenchmark.p',ruleD43) ).
fof(ruleD45,axiom,
! [A,B,C,E,F] :
( ( coll(F,A,C)
& para(E,F,B,C)
& midp(E,A,B) )
=> midp(F,A,C) ),
file('theBenchmark.p',ruleD45) ).
fof(ruleD51,axiom,
! [A,B,C,O,M] :
( ( eqangle(A,B,A,C,O,B,O,M)
& coll(M,B,C)
& circle(O,A,B,C) )
=> midp(M,B,C) ),
file('theBenchmark.p',ruleD51) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( midp(M,A,C)
& perp(A,B,B,C) )
=> cong(A,M,B,M) ),
file('theBenchmark.p',ruleD52) ).
fof(ruleD55,axiom,
! [A,B,M,O] :
( ( perp(O,M,A,B)
& midp(M,A,B) )
=> cong(O,A,O,B) ),
file('theBenchmark.p',ruleD55) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(A,B,P,Q) ),
file('theBenchmark.p',ruleD56) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cyclic(A,B,P,Q)
& cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(P,A,A,Q) ),
file('theBenchmark.p',ruleD57) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( para(A,D,B,C)
& para(A,C,B,D)
& midp(M,A,B) )
=> midp(M,C,D) ),
file('theBenchmark.p',ruleD64) ).
fof(ruleD65,axiom,
! [A,B,C,D,O] :
( ( coll(O,B,D)
& coll(O,A,C)
& para(A,B,C,D) )
=> eqratio(O,A,A,C,O,B,B,D) ),
file('theBenchmark.p',ruleD65) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('theBenchmark.p',ruleD66) ).
fof(ruleD75,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( cong(P,Q,U,V)
& eqratio(A,B,C,D,P,Q,U,V) )
=> cong(A,B,C,D) ),
file('theBenchmark.p',ruleD75) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ),
file('theBenchmark.p',ruleX11) ).
fof(exemplo6GDDFULL214035,conjecture,
! [A,B,C,O,D,E,K,H,NWPNT1] :
( ( coll(H,B,E)
& coll(H,C,D)
& coll(K,C,D)
& circle(O,C,K,NWPNT1)
& coll(E,A,C)
& perp(E,B,A,C)
& coll(D,A,B)
& perp(D,C,A,B)
& circle(O,A,B,C) )
=> cong(A,K,A,H) ),
file('theBenchmark.p',exemplo6GDDFULL214035) ).
fof(exemplo6GDDFULL214035_neg,negated_conjecture,
~ ! [A,B,C,O,D,E,K,H,NWPNT1] :
( ( coll(H,B,E)
& coll(H,C,D)
& coll(K,C,D)
& circle(O,C,K,NWPNT1)
& coll(E,A,C)
& perp(E,B,A,C)
& coll(D,A,B)
& perp(D,C,A,B)
& circle(O,A,B,C) )
=> cong(A,K,A,H) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214035]) ).
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]) ).
fof(nnf_87,plain,
! [A,B,C,O] :
? [P] :
( perp(P,A,A,O)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleX11]) ).
fof(sk_ruleX11,plain,
! [A,B,C,O] :
( perp(sK0(A,B,C,O),A,A,O)
| ~ circle(O,A,B,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(P,sK0(A,B,C,O))],[nnf_87]) ).
cnf(c_102,plain,
( perp(sK0(B,C,D,A),B,B,A)
| ~ circle(A,B,C,D) ),
inference(split_conjunct,[status(thm)],[sk_ruleX11]) ).
fof(nnf_95,plain,
? [A,B,C,O,D,E,K,H,NWPNT1] :
( ~ cong(A,K,A,H)
& coll(H,B,E)
& coll(H,C,D)
& coll(K,C,D)
& circle(O,C,K,NWPNT1)
& coll(E,A,C)
& perp(E,B,A,C)
& coll(D,A,B)
& perp(D,C,A,B)
& circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL214035_neg]) ).
fof(sk_exemplo6GDDFULL214035_neg,plain,
( ~ cong(sK2,sK5,sK2,sK7)
& coll(sK7,sK3,sK9)
& coll(sK7,sK4,sK8)
& coll(sK5,sK4,sK8)
& circle(sK1,sK4,sK5,sK6)
& coll(sK9,sK2,sK4)
& perp(sK9,sK3,sK2,sK4)
& coll(sK8,sK2,sK3)
& perp(sK8,sK4,sK2,sK3)
& circle(sK1,sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK8,sK9,sK5,sK6,sK7]),skolemize(A,sK2),skolemize(B,sK3),skolemize(C,sK4),skolemize(O,sK1),skolemize(D,sK8),skolemize(E,sK9),skolemize(K,sK5),skolemize(H,sK7),skolemize(NWPNT1,sK6)],[nnf_95]) ).
cnf(c_109,negated_conjecture,
circle(sK1,sK2,sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214035_neg]) ).
cnf(c_110,negated_conjecture,
circle(sK1,sK4,sK5,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214035_neg]) ).
cnf(c_116,negated_conjecture,
perp(sK0(sK4,sK5,sK6,sK1),sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_110,c_102]) ).
cnf(c_130,negated_conjecture,
perp(sK0(sK2,sK3,sK4,sK1),sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_109,c_102]) ).
cnf(c_173,plain,
( ~ cong(E,D,E,C)
| ~ cong(E,D,E,B)
| midp(A,B,C)
| ~ eqangle(D,B,D,C,E,B,E,A)
| ~ coll(A,B,C) ),
inference(resolve,[status(thm)],[c_100,c_97]) ).
cnf(c_177,negated_conjecture,
~ cong(sK2,sK5,sK2,sK7),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214035_neg]) ).
cnf(c_180,negated_conjecture,
coll(sK5,sK4,sK8),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214035_neg]) ).
cnf(c_181,negated_conjecture,
coll(sK9,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214035_neg]) ).
cnf(c_182,negated_conjecture,
perp(sK9,sK3,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214035_neg]) ).
cnf(c_184,negated_conjecture,
perp(sK8,sK4,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214035_neg]) ).
cnf(c_215,plain,
( cong(A,B,C,D)
| ~ cong(E,F,V6,V7)
| ~ eqratio(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD75]) ).
cnf(c_223,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_224,plain,
( eqratio(E,A,A,C,E,B,B,D)
| ~ coll(E,B,D)
| ~ coll(E,A,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD65]) ).
cnf(c_225,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_232,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_233,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_234,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_236,plain,
( cong(A,D,B,D)
| ~ midp(D,A,C)
| ~ perp(A,B,B,C) ),
inference(clausify,[status(thm)],[ruleD52]) ).
cnf(c_239,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_241,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_242,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_245,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_246,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_262,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_266,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_268,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_269,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_270,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_271,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_273,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_275,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_276,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_277,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_279,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_280,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_281,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_282,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_283,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_299,plain,
( ~ cong(D,C,D,B)
| midp(A,B,B)
| ~ eqangle(C,B,C,B,D,B,D,A)
| ~ coll(A,B,B) ),
inference(factor,[status(thm)],[c_173]) ).
cnf(c_323,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_225]) ).
cnf(c_326,plain,
( perp(B,A,A,B)
| ~ cyclic(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_232]) ).
cnf(c_330,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_241]) ).
cnf(c_332,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_268]) ).
cnf(c_337,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_281]) ).
cnf(c_411,plain,
( para(sK8,sK4,A,B)
| ~ perp(sK2,sK3,A,B) ),
inference(resolve,[status(thm)],[c_275,c_184]) ).
cnf(c_412,plain,
( para(sK9,sK3,A,B)
| ~ perp(sK2,sK4,A,B) ),
inference(resolve,[status(thm)],[c_275,c_182]) ).
cnf(c_415,plain,
( para(A,B,sK2,sK3)
| ~ perp(A,B,sK8,sK4) ),
inference(resolve,[status(thm)],[c_275,c_184]) ).
cnf(c_416,plain,
( para(A,B,sK2,sK4)
| ~ perp(A,B,sK9,sK3) ),
inference(resolve,[status(thm)],[c_275,c_182]) ).
cnf(c_417,plain,
( para(A,B,sK2,sK1)
| ~ perp(A,B,sK0(sK2,sK3,sK4,sK1),sK2) ),
inference(resolve,[status(thm)],[c_275,c_130]) ).
cnf(c_418,plain,
( para(A,B,sK4,sK1)
| ~ perp(A,B,sK0(sK4,sK5,sK6,sK1),sK4) ),
inference(resolve,[status(thm)],[c_275,c_116]) ).
cnf(c_419,plain,
perp(sK2,sK3,sK8,sK4),
inference(resolve,[status(thm)],[c_276,c_184]) ).
cnf(c_420,plain,
perp(sK2,sK4,sK9,sK3),
inference(resolve,[status(thm)],[c_276,c_182]) ).
cnf(c_421,plain,
perp(sK2,sK1,sK0(sK2,sK3,sK4,sK1),sK2),
inference(resolve,[status(thm)],[c_276,c_130]) ).
cnf(c_422,plain,
perp(sK4,sK1,sK0(sK4,sK5,sK6,sK1),sK4),
inference(resolve,[status(thm)],[c_276,c_116]) ).
cnf(c_424,plain,
perp(sK9,sK3,sK4,sK2),
inference(resolve,[status(thm)],[c_277,c_182]) ).
cnf(c_439,plain,
coll(sK4,sK5,sK8),
inference(resolve,[status(thm)],[c_282,c_180]) ).
cnf(c_448,plain,
coll(sK4,sK4,sK9),
inference(resolve,[status(thm)],[c_337,c_181]) ).
cnf(c_460,plain,
coll(sK8,sK8,sK4),
inference(resolve,[status(thm)],[c_439,c_337]) ).
cnf(c_496,plain,
coll(sK4,sK9,sK4),
inference(resolve,[status(thm)],[c_448,c_283]) ).
cnf(c_528,plain,
coll(sK8,sK4,sK8),
inference(resolve,[status(thm)],[c_460,c_283]) ).
cnf(c_582,plain,
coll(sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_496,c_337]) ).
cnf(c_778,plain,
perp(sK2,sK3,sK4,sK8),
inference(resolve,[status(thm)],[c_419,c_277]) ).
cnf(c_792,plain,
perp(sK2,sK4,sK3,sK9),
inference(resolve,[status(thm)],[c_420,c_277]) ).
cnf(c_820,plain,
perp(sK4,sK2,sK9,sK3),
inference(resolve,[status(thm)],[c_424,c_276]) ).
cnf(c_918,plain,
para(sK8,sK4,sK4,sK8),
inference(resolve,[status(thm)],[c_411,c_778]) ).
cnf(c_919,plain,
para(sK8,sK4,sK8,sK4),
inference(resolve,[status(thm)],[c_411,c_419]) ).
cnf(c_920,plain,
para(sK9,sK3,sK3,sK9),
inference(resolve,[status(thm)],[c_412,c_792]) ).
cnf(c_978,plain,
para(sK4,sK8,sK8,sK4),
inference(resolve,[status(thm)],[c_918,c_279]) ).
cnf(c_983,plain,
( eqratio(A,sK8,sK8,sK4,A,sK4,sK4,sK8)
| ~ coll(A,sK4,sK8)
| ~ coll(A,sK8,sK4) ),
inference(resolve,[status(thm)],[c_918,c_224]) ).
cnf(c_993,plain,
eqangle(sK8,sK4,A,B,sK8,sK4,A,B),
inference(resolve,[status(thm)],[c_919,c_245]) ).
cnf(c_1003,plain,
para(sK2,sK3,sK2,sK3),
inference(resolve,[status(thm)],[c_415,c_419]) ).
cnf(c_1008,plain,
para(sK3,sK9,sK9,sK3),
inference(resolve,[status(thm)],[c_920,c_279]) ).
cnf(c_1036,plain,
para(sK4,sK8,sK4,sK8),
inference(resolve,[status(thm)],[c_978,c_280]) ).
cnf(c_1065,plain,
( midp(A,sK3,sK3)
| ~ midp(A,sK2,sK2) ),
inference(resolve,[status(thm)],[c_1003,c_323]) ).
cnf(c_1081,plain,
para(sK3,sK9,sK3,sK9),
inference(resolve,[status(thm)],[c_1008,c_280]) ).
cnf(c_1093,plain,
para(sK4,sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_416,c_820]) ).
cnf(c_1098,plain,
eqangle(sK4,sK8,A,B,sK4,sK8,A,B),
inference(resolve,[status(thm)],[c_1036,c_245]) ).
cnf(c_1134,plain,
( midp(A,sK9,sK9)
| ~ midp(A,sK3,sK3) ),
inference(resolve,[status(thm)],[c_1081,c_323]) ).
cnf(c_1150,plain,
para(sK4,sK2,sK4,sK2),
inference(resolve,[status(thm)],[c_1093,c_280]) ).
cnf(c_1175,plain,
para(sK2,sK1,sK2,sK1),
inference(resolve,[status(thm)],[c_421,c_417]) ).
cnf(c_1191,plain,
para(sK4,sK1,sK4,sK1),
inference(resolve,[status(thm)],[c_422,c_418]) ).
cnf(c_1221,plain,
( midp(A,sK2,sK2)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_1150,c_323]) ).
cnf(c_1251,plain,
para(sK2,sK1,sK1,sK2),
inference(resolve,[status(thm)],[c_1175,c_280]) ).
cnf(c_1252,plain,
eqangle(sK2,sK1,A,B,sK2,sK1,A,B),
inference(resolve,[status(thm)],[c_1175,c_245]) ).
cnf(c_1316,plain,
para(sK4,sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_1191,c_280]) ).
cnf(c_1317,plain,
eqangle(sK4,sK1,A,B,sK4,sK1,A,B),
inference(resolve,[status(thm)],[c_1191,c_245]) ).
cnf(c_1362,plain,
para(sK1,sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_1251,c_279]) ).
cnf(c_1378,plain,
para(sK1,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_1316,c_279]) ).
cnf(c_1394,plain,
para(sK1,sK2,sK1,sK2),
inference(resolve,[status(thm)],[c_1362,c_280]) ).
cnf(c_1410,plain,
para(sK1,sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_1378,c_280]) ).
cnf(c_1425,plain,
eqangle(sK1,sK2,A,B,sK1,sK2,A,B),
inference(resolve,[status(thm)],[c_1394,c_245]) ).
cnf(c_1437,plain,
eqangle(sK1,sK4,A,B,sK1,sK4,A,B),
inference(resolve,[status(thm)],[c_1410,c_245]) ).
cnf(c_17850,plain,
( eqratio(sK8,sK8,sK8,sK4,sK8,sK4,sK4,sK8)
| ~ coll(sK8,sK4,sK8) ),
inference(resolve,[status(thm)],[c_983,c_460]) ).
cnf(c_3092,plain,
eqratio(sK8,sK8,sK8,sK4,sK8,sK4,sK4,sK8),
inference(resolve,[status(thm)],[c_528,c_17850]) ).
cnf(c_17851,plain,
( ~ cong(sK8,sK8,sK8,sK4)
| midp(sK4,sK4,sK4)
| ~ coll(sK4,sK4,sK4) ),
inference(resolve,[status(thm)],[c_993,c_299]) ).
cnf(c_3139,plain,
( ~ cong(sK8,sK8,sK8,sK4)
| midp(sK4,sK4,sK4) ),
inference(resolve,[status(thm)],[c_582,c_17851]) ).
cnf(c_3140,plain,
eqangle(A,B,sK8,sK4,A,B,sK8,sK4),
inference(resolve,[status(thm)],[c_993,c_266]) ).
cnf(c_3142,plain,
( cyclic(sK4,A,sK8,sK8)
| ~ coll(sK8,sK8,A) ),
inference(resolve,[status(thm)],[c_993,c_242]) ).
cnf(c_3587,plain,
( cyclic(sK8,A,sK4,sK4)
| ~ coll(sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_1098,c_242]) ).
cnf(c_3588,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK4,sK4)
| ~ cyclic(sK8,A,sK4,A)
| ~ cyclic(sK8,A,sK4,sK8) ),
inference(resolve,[status(thm)],[c_1098,c_241]) ).
cnf(c_3595,plain,
( ~ cong(sK4,sK4,sK4,A)
| ~ cong(sK4,sK4,sK4,sK8)
| midp(A,sK8,A)
| ~ coll(A,sK8,A) ),
inference(resolve,[status(thm)],[c_1098,c_173]) ).
cnf(c_4160,plain,
( cyclic(sK1,A,sK2,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_1252,c_242]) ).
cnf(c_4161,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK2,sK2)
| ~ cyclic(sK1,A,sK2,A)
| ~ cyclic(sK1,A,sK2,sK1) ),
inference(resolve,[status(thm)],[c_1252,c_241]) ).
cnf(c_4174,plain,
( cyclic(sK1,A,sK4,sK4)
| ~ coll(sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_1317,c_242]) ).
cnf(c_4216,plain,
( cyclic(sK2,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_1425,c_242]) ).
cnf(c_4230,plain,
( cyclic(sK4,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_1437,c_242]) ).
cnf(c_4231,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK1,sK1)
| ~ cyclic(sK4,A,sK1,A)
| ~ cyclic(sK4,A,sK1,sK4) ),
inference(resolve,[status(thm)],[c_1437,c_241]) ).
cnf(c_4387,plain,
( cong(sK8,sK8,sK8,sK4)
| ~ cong(sK8,sK4,sK4,sK8) ),
inference(resolve,[status(thm)],[c_3092,c_215]) ).
cnf(c_4437,plain,
( cong(sK8,sK4,sK8,sK4)
| ~ cyclic(sK8,sK4,sK8,sK4)
| ~ cyclic(sK8,sK4,sK8,sK8) ),
inference(resolve,[status(thm)],[c_3140,c_330]) ).
cnf(c_4440,plain,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_3140,c_246]) ).
cnf(c_17852,plain,
( cyclic(A,sK4,sK8,sK8)
| ~ coll(sK8,sK8,sK4) ),
inference(resolve,[status(thm)],[c_3140,c_242]) ).
cnf(c_4442,plain,
cyclic(A,sK4,sK8,sK8),
inference(resolve,[status(thm)],[c_460,c_17852]) ).
cnf(c_4448,plain,
( ~ cong(sK8,sK8,sK8,sK4)
| ~ cong(sK8,sK8,sK8,A)
| midp(sK4,A,sK4)
| ~ coll(sK4,A,sK4) ),
inference(resolve,[status(thm)],[c_3140,c_173]) ).
cnf(c_4453,plain,
( cong(sK8,sK4,sK8,sK4)
| ~ cyclic(sK8,sK4,sK8,sK4) ),
inference(resolve,[status(thm)],[c_4442,c_4437]) ).
cnf(c_4455,plain,
( midp(A,C,C)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_4440,c_323]) ).
cnf(c_4463,plain,
( midp(C,B,C)
| ~ coll(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_4440,c_239]) ).
cnf(c_4465,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_4440,c_223]) ).
cnf(c_4667,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_4465,c_337]) ).
cnf(c_4668,plain,
coll(A,B,A),
inference(resolve,[status(thm)],[c_4465,c_282]) ).
cnf(c_4675,plain,
cyclic(sK4,A,sK1,sK1),
inference(resolve,[status(thm)],[c_4667,c_4230]) ).
cnf(c_4676,plain,
cyclic(sK2,A,sK1,sK1),
inference(resolve,[status(thm)],[c_4667,c_4216]) ).
cnf(c_4677,plain,
cyclic(sK1,A,sK4,sK4),
inference(resolve,[status(thm)],[c_4667,c_4174]) ).
cnf(c_4678,plain,
cyclic(sK1,A,sK2,sK2),
inference(resolve,[status(thm)],[c_4667,c_4160]) ).
cnf(c_4683,plain,
cyclic(sK8,A,sK4,sK4),
inference(resolve,[status(thm)],[c_4667,c_3587]) ).
cnf(c_4686,plain,
cyclic(sK4,A,sK8,sK8),
inference(resolve,[status(thm)],[c_4667,c_3142]) ).
cnf(c_4804,plain,
( midp(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_4668,c_4463]) ).
cnf(c_4805,plain,
( ~ cong(sK8,sK8,sK8,sK4)
| ~ cong(sK8,sK8,sK8,A)
| midp(sK4,A,sK4) ),
inference(resolve,[status(thm)],[c_4668,c_4448]) ).
cnf(c_4814,plain,
( ~ cong(sK4,sK4,sK4,A)
| ~ cong(sK4,sK4,sK4,sK8)
| midp(A,sK8,A) ),
inference(resolve,[status(thm)],[c_4668,c_3595]) ).
cnf(c_4834,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK1,A)
| ~ cyclic(sK4,A,sK1,sK4) ),
inference(resolve,[status(thm)],[c_4675,c_4231]) ).
cnf(c_4843,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK2,A)
| ~ cyclic(sK1,A,sK2,sK1) ),
inference(resolve,[status(thm)],[c_4678,c_4161]) ).
cnf(c_4861,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK4,A)
| ~ cyclic(sK8,A,sK4,sK8) ),
inference(resolve,[status(thm)],[c_4683,c_3588]) ).
cnf(c_17853,plain,
( coll(B,C,A)
| ~ coll(A,A,B) ),
inference(resolve,[status(thm)],[c_4667,c_281]) ).
cnf(c_5123,plain,
coll(A,B,C),
inference(resolve,[status(thm)],[c_4667,c_17853]) ).
cnf(c_5132,plain,
( midp(D,B,E)
| ~ para(A,D,C,E)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_5123,c_239]) ).
cnf(c_5312,plain,
cyclic(A,sK8,sK4,sK8),
inference(resolve,[status(thm)],[c_4442,c_270]) ).
cnf(c_5333,plain,
cyclic(sK4,sK1,A,sK1),
inference(resolve,[status(thm)],[c_4675,c_270]) ).
cnf(c_5349,plain,
cyclic(sK2,sK1,A,sK1),
inference(resolve,[status(thm)],[c_4676,c_270]) ).
cnf(c_5366,plain,
cyclic(sK1,sK4,A,sK4),
inference(resolve,[status(thm)],[c_4677,c_270]) ).
cnf(c_5465,plain,
cyclic(sK8,sK4,A,sK4),
inference(resolve,[status(thm)],[c_4683,c_270]) ).
cnf(c_5480,plain,
cong(sK8,sK4,sK8,sK4),
inference(resolve,[status(thm)],[c_5465,c_4453]) ).
cnf(c_5517,plain,
cyclic(sK4,sK8,A,sK8),
inference(resolve,[status(thm)],[c_4686,c_270]) ).
cnf(c_5548,plain,
cyclic(sK8,A,sK4,sK8),
inference(resolve,[status(thm)],[c_5312,c_269]) ).
cnf(c_5564,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK4,A) ),
inference(resolve,[status(thm)],[c_5548,c_4861]) ).
cnf(c_5637,plain,
cyclic(sK4,sK1,sK1,A),
inference(resolve,[status(thm)],[c_5333,c_271]) ).
cnf(c_5638,plain,
cyclic(sK1,sK4,A,sK1),
inference(resolve,[status(thm)],[c_5333,c_269]) ).
cnf(c_5670,plain,
cyclic(sK1,sK2,A,sK1),
inference(resolve,[status(thm)],[c_5349,c_269]) ).
cnf(c_5724,plain,
cyclic(sK1,sK4,sK4,A),
inference(resolve,[status(thm)],[c_5366,c_271]) ).
cnf(c_5725,plain,
cyclic(sK4,sK1,A,sK4),
inference(resolve,[status(thm)],[c_5366,c_269]) ).
cnf(c_5978,plain,
cyclic(sK4,sK8,A,sK4),
inference(resolve,[status(thm)],[c_5465,c_269]) ).
cnf(c_6041,plain,
cong(sK8,sK4,sK4,sK8),
inference(resolve,[status(thm)],[c_5480,c_262]) ).
cnf(c_6057,plain,
cong(sK8,sK8,sK8,sK4),
inference(resolve,[status(thm)],[c_6041,c_4387]) ).
cnf(c_6059,plain,
( ~ cong(sK8,sK8,sK8,A)
| midp(sK4,A,sK4) ),
inference(resolve,[status(thm)],[c_6057,c_4805]) ).
cnf(c_6060,plain,
midp(sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_6057,c_3139]) ).
cnf(c_6064,plain,
midp(sK4,sK2,sK2),
inference(resolve,[status(thm)],[c_6060,c_1221]) ).
cnf(c_6142,plain,
midp(sK4,sK3,sK3),
inference(resolve,[status(thm)],[c_6064,c_1065]) ).
cnf(c_6172,plain,
midp(sK4,sK9,sK9),
inference(resolve,[status(thm)],[c_6142,c_1134]) ).
cnf(c_6326,plain,
cyclic(sK4,sK8,sK8,A),
inference(resolve,[status(thm)],[c_5517,c_271]) ).
cnf(c_6484,plain,
cyclic(sK1,sK1,A,A),
inference(resolve,[status(thm)],[c_5637,c_332]) ).
cnf(c_17854,plain,
( cyclic(sK1,sK1,A,B)
| ~ cyclic(sK4,sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_5637,c_268]) ).
cnf(c_6486,plain,
cyclic(sK1,sK1,A,B),
inference(resolve,[status(thm)],[c_5637,c_17854]) ).
cnf(c_6502,plain,
( cyclic(sK4,A,sK1,B)
| ~ cyclic(sK1,sK4,A,B) ),
inference(resolve,[status(thm)],[c_5638,c_268]) ).
cnf(c_6704,plain,
cyclic(sK1,A,sK2,sK1),
inference(resolve,[status(thm)],[c_5670,c_270]) ).
cnf(c_6720,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK2,A) ),
inference(resolve,[status(thm)],[c_6704,c_4843]) ).
cnf(c_6859,plain,
cyclic(sK4,sK4,A,A),
inference(resolve,[status(thm)],[c_5724,c_332]) ).
cnf(c_17855,plain,
( cyclic(sK4,sK4,A,B)
| ~ cyclic(sK1,sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_5724,c_268]) ).
cnf(c_6861,plain,
cyclic(sK4,sK4,A,B),
inference(resolve,[status(thm)],[c_5724,c_17855]) ).
cnf(c_6875,plain,
cyclic(sK4,A,sK1,sK4),
inference(resolve,[status(thm)],[c_5725,c_270]) ).
cnf(c_6891,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK1,A) ),
inference(resolve,[status(thm)],[c_6875,c_4834]) ).
cnf(c_7656,plain,
( cyclic(sK8,A,sK4,B)
| ~ cyclic(sK4,sK8,A,B) ),
inference(resolve,[status(thm)],[c_5978,c_268]) ).
cnf(c_8226,plain,
cyclic(sK8,sK8,A,A),
inference(resolve,[status(thm)],[c_6326,c_332]) ).
cnf(c_8318,plain,
( perp(A,sK1,sK1,A)
| ~ cong(sK1,A,sK1,A) ),
inference(resolve,[status(thm)],[c_6484,c_326]) ).
cnf(c_17856,plain,
( cyclic(sK1,A,B,A)
| ~ cyclic(sK1,sK1,A,B) ),
inference(resolve,[status(thm)],[c_6484,c_268]) ).
cnf(c_8319,plain,
cyclic(sK1,A,B,A),
inference(resolve,[status(thm)],[c_6486,c_17856]) ).
cnf(c_8332,plain,
cong(sK1,A,sK1,A),
inference(resolve,[status(thm)],[c_8319,c_6720]) ).
cnf(c_8333,plain,
perp(A,sK1,sK1,A),
inference(resolve,[status(thm)],[c_8332,c_8318]) ).
cnf(c_17857,plain,
( cyclic(sK1,A,B,C)
| ~ cyclic(sK1,sK1,A,B) ),
inference(resolve,[status(thm)],[c_6486,c_268]) ).
cnf(c_8390,plain,
cyclic(sK1,A,B,C),
inference(resolve,[status(thm)],[c_6486,c_17857]) ).
cnf(c_8404,plain,
cyclic(sK4,A,sK1,B),
inference(resolve,[status(thm)],[c_8390,c_6502]) ).
cnf(c_8460,plain,
cong(sK4,A,sK4,A),
inference(resolve,[status(thm)],[c_8404,c_6891]) ).
cnf(c_17858,plain,
( perp(A,sK4,sK4,A)
| ~ cong(sK4,A,sK4,A) ),
inference(resolve,[status(thm)],[c_6859,c_326]) ).
cnf(c_8669,plain,
perp(A,sK4,sK4,A),
inference(resolve,[status(thm)],[c_8460,c_17858]) ).
cnf(c_17859,plain,
( cyclic(sK4,A,B,C)
| ~ cyclic(sK4,sK4,A,B) ),
inference(resolve,[status(thm)],[c_6861,c_268]) ).
cnf(c_8716,plain,
cyclic(sK4,A,B,C),
inference(resolve,[status(thm)],[c_6861,c_17859]) ).
cnf(c_8728,plain,
cyclic(sK8,A,sK4,B),
inference(resolve,[status(thm)],[c_8716,c_7656]) ).
cnf(c_8811,plain,
cong(sK8,A,sK8,A),
inference(resolve,[status(thm)],[c_8728,c_5564]) ).
cnf(c_17860,plain,
( perp(A,sK8,sK8,A)
| ~ cong(sK8,A,sK8,A) ),
inference(resolve,[status(thm)],[c_8226,c_326]) ).
cnf(c_10000,plain,
perp(A,sK8,sK8,A),
inference(resolve,[status(thm)],[c_8811,c_17860]) ).
cnf(c_17861,plain,
( perp(sK1,sK1,A,B)
| ~ cong(sK1,A,sK1,A) ),
inference(resolve,[status(thm)],[c_8332,c_233]) ).
cnf(c_10199,plain,
perp(sK1,sK1,A,B),
inference(resolve,[status(thm)],[c_8332,c_17861]) ).
cnf(c_10308,plain,
( cong(B,A,sK1,A)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_8333,c_236]) ).
cnf(c_11099,plain,
perp(sK4,A,A,sK4),
inference(resolve,[status(thm)],[c_8669,c_276]) ).
cnf(c_12128,plain,
perp(sK8,A,A,sK8),
inference(resolve,[status(thm)],[c_10000,c_276]) ).
cnf(c_12190,plain,
perp(A,B,sK1,sK1),
inference(resolve,[status(thm)],[c_10199,c_276]) ).
cnf(c_17862,plain,
( para(A,B,C,D)
| ~ perp(A,B,sK1,sK1) ),
inference(resolve,[status(thm)],[c_10199,c_275]) ).
cnf(c_12191,plain,
para(A,B,C,D),
inference(resolve,[status(thm)],[c_12190,c_17862]) ).
cnf(c_12204,plain,
( midp(D,B,E)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_12191,c_5132]) ).
cnf(c_12506,plain,
perp(sK4,A,sK4,A),
inference(resolve,[status(thm)],[c_11099,c_277]) ).
cnf(c_13048,plain,
perp(sK8,A,sK8,A),
inference(resolve,[status(thm)],[c_12128,c_277]) ).
cnf(c_13202,plain,
( cong(sK4,sK4,sK4,A)
| ~ midp(A,sK4,A) ),
inference(resolve,[status(thm)],[c_12506,c_234]) ).
cnf(c_13624,plain,
( cong(sK8,sK8,sK8,A)
| ~ midp(A,sK8,A) ),
inference(resolve,[status(thm)],[c_13048,c_234]) ).
cnf(c_13748,plain,
midp(sK4,A,A),
inference(resolve,[status(thm)],[c_4455,c_6172]) ).
cnf(c_13753,plain,
midp(A,sK4,A),
inference(resolve,[status(thm)],[c_4804,c_13748]) ).
cnf(c_13754,plain,
cong(sK4,sK4,sK4,A),
inference(resolve,[status(thm)],[c_13753,c_13202]) ).
cnf(c_17863,plain,
( ~ cong(sK4,sK4,sK4,A)
| midp(A,sK8,A) ),
inference(resolve,[status(thm)],[c_13754,c_4814]) ).
cnf(c_13772,plain,
midp(A,sK8,A),
inference(resolve,[status(thm)],[c_13754,c_17863]) ).
cnf(c_13775,plain,
cong(sK8,sK8,sK8,A),
inference(resolve,[status(thm)],[c_13772,c_13624]) ).
cnf(c_13812,plain,
midp(sK4,A,sK4),
inference(resolve,[status(thm)],[c_13775,c_6059]) ).
cnf(c_14086,plain,
midp(A,B,A),
inference(resolve,[status(thm)],[c_13812,c_4804]) ).
cnf(c_14622,plain,
midp(A,B,B),
inference(resolve,[status(thm)],[c_14086,c_4455]) ).
cnf(c_14626,plain,
midp(A,A,B),
inference(resolve,[status(thm)],[c_14086,c_273]) ).
cnf(c_14700,plain,
cong(A,B,sK1,B),
inference(resolve,[status(thm)],[c_14622,c_10308]) ).
cnf(c_17864,plain,
( perp(A,sK1,B,C)
| ~ cong(A,B,sK1,B) ),
inference(resolve,[status(thm)],[c_14700,c_233]) ).
cnf(c_16845,plain,
perp(A,sK1,B,C),
inference(resolve,[status(thm)],[c_14700,c_17864]) ).
cnf(c_17580,plain,
( cong(C,A,C,B)
| ~ midp(sK1,A,B) ),
inference(resolve,[status(thm)],[c_16845,c_234]) ).
cnf(c_17800,plain,
midp(A,B,C),
inference(resolve,[status(thm)],[c_12204,c_14626]) ).
cnf(c_17848,plain,
cong(A,B,A,C),
inference(resolve,[status(thm)],[c_17800,c_17580]) ).
cnf(c_17849,plain,
$false,
inference(resolve,[status(thm)],[c_17848,c_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO573+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 13:43:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 1183066 was started by sandbox2 on n008,
% 0.10/0.37 % Fri Sep 25 13:43:09 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.41
% 0.13/0.41 % From the command line: assign(max_seconds, 300).
% 34.91/5.50
% 34.91/5.50 % given #500 (A,wt=13): 494 -coll(c2,c2,A) | coll(c5,A,c2). [resolve(447,a,281,a)].
% 34.91/5.50
% 34.91/5.50 % given #1000 (T,wt=10): 2666 perp(c2,c3,c2,c1). [resolve(2612,a,277,a)].
% 34.91/5.50
% 34.91/5.50 % given #1500 (A,wt=24): 943 -perp(c2,c1,c3,c6) | perp(c3,f10(c3,c2,c6,c1),c6,c2). [resolve(876,a,194,a)].
% 34.91/5.50
% 34.91/5.50 % given #2000 (T,wt=13): 2429 -coll(c2,c7,A) | coll(A,c7,c2). [resolve(2241,a,281,b)].
% 34.91/5.50
% 34.91/5.50 % given #2500 (A,wt=33): 1354 perp(f17(f12(c3,c7,c9,c4),c4,c3,c3,c3),f12(c3,c7,c9,c4),c3,c3). [resolve(1349,a,356,a)].
% 34.91/5.50
% 34.91/5.50 % given #3000 (W,wt=10): 8669 perp(A,c3,c3,A). [resolve(6859,a,326,b),unit_del(a,8460)].
% 34.91/5.50
% 34.91/5.50 % given #3500 (T,wt=10): 12758 cong(A,c2,c2,A). [resolve(11586,a,261,a)].
% 34.91/5.50
% 34.91/5.50 % SZS status Theorem for theBenchmark
% 34.91/5.50
% 34.91/5.50 % Proof 1 at 3.69 (+ 1.31) seconds.
% 34.91/5.50 % Length of proof is 237.
% 34.91/5.50 % Level of proof is 31.
% 34.91/5.50 % Maximum clause weight is 34.000.
% 34.91/5.50 % Given clauses 3944.
% 34.91/5.50
% 34.91/5.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------