%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO630+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 07:18:15 AM UTC 2026
% Result : Theorem 43.49s 6.00s
% Output : CNFRefutation 43.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 32
% Syntax : Number of formulae : 260 ( 125 unt; 0 def)
% Number of atoms : 522 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 422 ( 160 ~; 156 |; 73 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-5 aty)
% Number of variables : 550 ( 60 sgn 195 !; 16 ?)
% 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(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(ruleX15,axiom,
! [A,B,C,E,F] :
? [P] :
( ( coll(B,E,F)
& perp(A,C,C,B) )
=> ( perp(P,A,E,F)
& coll(P,E,F) ) ),
file('theBenchmark.p',ruleX15) ).
fof(exemplo6GDDFULL8110993,conjecture,
! [A,B,C,O,D1,D,F,G,G1,F1,NWPNT1,NWPNT2] :
( ( coll(F1,A,C)
& perp(F1,D1,A,C)
& coll(G1,A,B)
& perp(G1,D1,A,B)
& coll(G,A,B)
& perp(G,D,A,B)
& coll(F,A,C)
& perp(F,D,A,C)
& coll(D,D1,O)
& circle(O,D1,D,NWPNT2)
& circle(O,A,D1,NWPNT1)
& circle(O,A,B,C) )
=> perp(G1,F1,G,F) ),
file('theBenchmark.p',exemplo6GDDFULL8110993) ).
fof(exemplo6GDDFULL8110993_neg,negated_conjecture,
~ ! [A,B,C,O,D1,D,F,G,G1,F1,NWPNT1,NWPNT2] :
( ( coll(F1,A,C)
& perp(F1,D1,A,C)
& coll(G1,A,B)
& perp(G1,D1,A,B)
& coll(G,A,B)
& perp(G,D,A,B)
& coll(F,A,C)
& perp(F,D,A,C)
& coll(D,D1,O)
& circle(O,D1,D,NWPNT2)
& circle(O,A,D1,NWPNT1)
& circle(O,A,B,C) )
=> perp(G1,F1,G,F) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110993]) ).
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,D1,D,F,G,G1,F1,NWPNT1,NWPNT2] :
( ~ perp(G1,F1,G,F)
& coll(F1,A,C)
& perp(F1,D1,A,C)
& coll(G1,A,B)
& perp(G1,D1,A,B)
& coll(G,A,B)
& perp(G,D,A,B)
& coll(F,A,C)
& perp(F,D,A,C)
& coll(D,D1,O)
& circle(O,D1,D,NWPNT2)
& circle(O,A,D1,NWPNT1)
& circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL8110993_neg]) ).
fof(sk_exemplo6GDDFULL8110993_neg,plain,
( ~ perp(sK5,sK6,sK7,sK8)
& coll(sK6,sK2,sK4)
& perp(sK6,sK9,sK2,sK4)
& coll(sK5,sK2,sK3)
& perp(sK5,sK9,sK2,sK3)
& coll(sK7,sK2,sK3)
& perp(sK7,sK10,sK2,sK3)
& coll(sK8,sK2,sK4)
& perp(sK8,sK10,sK2,sK4)
& coll(sK10,sK9,sK1)
& circle(sK1,sK9,sK10,sK13)
& circle(sK1,sK2,sK9,sK12)
& circle(sK1,sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK9,sK12,sK10,sK13,sK8,sK7,sK5,sK6]),skolemize(A,sK2),skolemize(B,sK3),skolemize(C,sK4),skolemize(O,sK1),skolemize(D1,sK9),skolemize(D,sK10),skolemize(F,sK8),skolemize(G,sK7),skolemize(G1,sK5),skolemize(F1,sK6),skolemize(NWPNT1,sK12),skolemize(NWPNT2,sK13)],[nnf_95]) ).
cnf(c_109,negated_conjecture,
circle(sK1,sK2,sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110993_neg]) ).
cnf(c_145,negated_conjecture,
perp(sK0(sK2,sK3,sK4,sK1),sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_109,c_102]) ).
cnf(c_188,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_192,negated_conjecture,
~ perp(sK5,sK6,sK7,sK8),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110993_neg]) ).
cnf(c_194,negated_conjecture,
perp(sK6,sK9,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110993_neg]) ).
cnf(c_196,negated_conjecture,
perp(sK5,sK9,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110993_neg]) ).
cnf(c_198,negated_conjecture,
perp(sK7,sK10,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110993_neg]) ).
cnf(c_200,negated_conjecture,
perp(sK8,sK10,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110993_neg]) ).
cnf(c_201,negated_conjecture,
coll(sK10,sK9,sK1),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110993_neg]) ).
fof(nnf_91,plain,
! [A,B,C,E,F] :
? [P] :
( ( perp(P,A,E,F)
& coll(P,E,F) )
| ~ coll(B,E,F)
| ~ perp(A,C,C,B) ),
inference(fof_nnf,[status(thm)],[ruleX15]) ).
fof(sk_ruleX15_sk,plain,
! [A,B,C,E,F] :
( ( perp(sK11(A,B,C,E,F),A,E,F)
& coll(sK11(A,B,C,E,F),E,F) )
| ~ coll(B,E,F)
| ~ perp(A,C,C,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(P,sK11(A,B,C,E,F))],[nnf_91]) ).
fof(sk_ruleX15,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( perp(sK11(VAR_0,VAR_2,VAR_1,VAR_3,VAR_4),VAR_0,VAR_3,VAR_4)
| ~ coll(VAR_2,VAR_3,VAR_4)
| ~ perp(VAR_0,VAR_1,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( coll(sK11(VAR_0,VAR_2,VAR_1,VAR_3,VAR_4),VAR_3,VAR_4)
| ~ coll(VAR_2,VAR_3,VAR_4)
| ~ perp(VAR_0,VAR_1,VAR_1,VAR_2) ) ),
inference(cnf_transformation,[status(thm)],[sk_ruleX15_sk]) ).
cnf(c_207,plain,
( perp(sK11(A,C,B,D,E),A,D,E)
| ~ coll(C,D,E)
| ~ perp(A,B,B,C) ),
inference(split_conjunct,[status(thm)],[sk_ruleX15]) ).
cnf(c_232,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_240,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_241,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_242,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_249,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_250,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_251,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_253,plain,
( cong(A,D,B,D)
| ~ midp(D,A,C)
| ~ perp(A,B,B,C) ),
inference(clausify,[status(thm)],[ruleD52]) ).
cnf(c_256,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_258,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_259,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_262,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_263,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_279,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_283,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_285,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_286,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_287,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_288,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_292,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_293,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_294,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_296,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_297,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_298,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_299,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_300,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_316,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_188]) ).
cnf(c_340,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_242]) ).
cnf(c_343,plain,
( perp(B,A,A,B)
| ~ cyclic(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_249]) ).
cnf(c_347,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_258]) ).
cnf(c_349,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_285]) ).
cnf(c_354,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_298]) ).
cnf(c_376,plain,
( perp(sK11(sK0(sK2,sK3,sK4,sK1),sK1,sK2,A,B),sK0(sK2,sK3,sK4,sK1),A,B)
| ~ coll(sK1,A,B) ),
inference(resolve,[status(thm)],[c_207,c_145]) ).
cnf(c_471,plain,
( para(sK8,sK10,A,B)
| ~ perp(sK2,sK4,A,B) ),
inference(resolve,[status(thm)],[c_292,c_200]) ).
cnf(c_472,plain,
( para(sK7,sK10,A,B)
| ~ perp(sK2,sK3,A,B) ),
inference(resolve,[status(thm)],[c_292,c_198]) ).
cnf(c_473,plain,
( para(sK5,sK9,A,B)
| ~ perp(sK2,sK3,A,B) ),
inference(resolve,[status(thm)],[c_292,c_196]) ).
cnf(c_474,plain,
( para(sK6,sK9,A,B)
| ~ perp(sK2,sK4,A,B) ),
inference(resolve,[status(thm)],[c_292,c_194]) ).
cnf(c_478,plain,
( para(A,B,sK2,sK4)
| ~ perp(A,B,sK8,sK10) ),
inference(resolve,[status(thm)],[c_292,c_200]) ).
cnf(c_482,plain,
( para(A,B,sK2,sK1)
| ~ perp(A,B,sK0(sK2,sK3,sK4,sK1),sK2) ),
inference(resolve,[status(thm)],[c_292,c_145]) ).
cnf(c_485,plain,
perp(sK2,sK4,sK8,sK10),
inference(resolve,[status(thm)],[c_293,c_200]) ).
cnf(c_486,plain,
perp(sK2,sK3,sK7,sK10),
inference(resolve,[status(thm)],[c_293,c_198]) ).
cnf(c_487,plain,
perp(sK2,sK3,sK5,sK9),
inference(resolve,[status(thm)],[c_293,c_196]) ).
cnf(c_488,plain,
perp(sK2,sK4,sK6,sK9),
inference(resolve,[status(thm)],[c_293,c_194]) ).
cnf(c_489,plain,
perp(sK2,sK1,sK0(sK2,sK3,sK4,sK1),sK2),
inference(resolve,[status(thm)],[c_293,c_145]) ).
cnf(c_519,plain,
coll(sK1,sK1,sK10),
inference(resolve,[status(thm)],[c_354,c_201]) ).
cnf(c_562,plain,
coll(sK10,sK10,sK1),
inference(resolve,[status(thm)],[c_519,c_354]) ).
cnf(c_618,plain,
perp(sK11(sK0(sK2,sK3,sK4,sK1),sK1,sK2,sK1,sK10),sK0(sK2,sK3,sK4,sK1),sK1,sK10),
inference(resolve,[status(thm)],[c_376,c_519]) ).
cnf(c_657,plain,
coll(sK10,sK1,sK10),
inference(resolve,[status(thm)],[c_562,c_300]) ).
cnf(c_768,plain,
coll(sK10,sK10,sK10),
inference(resolve,[status(thm)],[c_657,c_354]) ).
cnf(c_892,plain,
perp(sK2,sK4,sK10,sK8),
inference(resolve,[status(thm)],[c_485,c_294]) ).
cnf(c_906,plain,
perp(sK2,sK3,sK10,sK7),
inference(resolve,[status(thm)],[c_486,c_294]) ).
cnf(c_920,plain,
perp(sK2,sK3,sK9,sK5),
inference(resolve,[status(thm)],[c_487,c_294]) ).
cnf(c_934,plain,
perp(sK2,sK4,sK9,sK6),
inference(resolve,[status(thm)],[c_488,c_294]) ).
cnf(c_1381,plain,
para(sK8,sK10,sK10,sK8),
inference(resolve,[status(thm)],[c_471,c_892]) ).
cnf(c_1383,plain,
para(sK8,sK10,sK8,sK10),
inference(resolve,[status(thm)],[c_471,c_485]) ).
cnf(c_1409,plain,
para(sK10,sK8,sK8,sK10),
inference(resolve,[status(thm)],[c_1381,c_296]) ).
cnf(c_1414,plain,
( eqratio(A,sK8,sK8,sK10,A,sK10,sK10,sK8)
| ~ coll(A,sK10,sK8)
| ~ coll(A,sK8,sK10) ),
inference(resolve,[status(thm)],[c_1381,c_241]) ).
cnf(c_1441,plain,
eqangle(sK8,sK10,A,B,sK8,sK10,A,B),
inference(resolve,[status(thm)],[c_1383,c_262]) ).
cnf(c_1444,plain,
coll(sK8,sK10,sK10),
inference(resolve,[status(thm)],[c_1383,c_240]) ).
cnf(c_1452,plain,
para(sK7,sK10,sK10,sK7),
inference(resolve,[status(thm)],[c_472,c_906]) ).
cnf(c_1455,plain,
para(sK5,sK9,sK9,sK5),
inference(resolve,[status(thm)],[c_473,c_920]) ).
cnf(c_1457,plain,
para(sK5,sK9,sK5,sK9),
inference(resolve,[status(thm)],[c_473,c_487]) ).
cnf(c_1459,plain,
para(sK6,sK9,sK9,sK6),
inference(resolve,[status(thm)],[c_474,c_934]) ).
cnf(c_1462,plain,
coll(sK10,sK10,sK8),
inference(resolve,[status(thm)],[c_1444,c_354]) ).
cnf(c_1470,plain,
coll(sK8,sK8,sK10),
inference(resolve,[status(thm)],[c_1462,c_354]) ).
cnf(c_1475,plain,
coll(sK8,sK10,sK8),
inference(resolve,[status(thm)],[c_1470,c_300]) ).
cnf(c_1504,plain,
para(sK10,sK8,sK10,sK8),
inference(resolve,[status(thm)],[c_1409,c_297]) ).
cnf(c_1553,plain,
para(sK10,sK7,sK7,sK10),
inference(resolve,[status(thm)],[c_1452,c_296]) ).
cnf(c_1582,plain,
para(sK2,sK4,sK2,sK4),
inference(resolve,[status(thm)],[c_478,c_485]) ).
cnf(c_1623,plain,
para(sK9,sK5,sK5,sK9),
inference(resolve,[status(thm)],[c_1455,c_296]) ).
cnf(c_1655,plain,
eqangle(sK5,sK9,A,B,sK5,sK9,A,B),
inference(resolve,[status(thm)],[c_1457,c_262]) ).
cnf(c_1676,plain,
para(sK2,sK1,sK2,sK1),
inference(resolve,[status(thm)],[c_489,c_482]) ).
cnf(c_1739,plain,
para(sK9,sK6,sK6,sK9),
inference(resolve,[status(thm)],[c_1459,c_296]) ).
cnf(c_1880,plain,
eqangle(sK10,sK8,A,B,sK10,sK8,A,B),
inference(resolve,[status(thm)],[c_1504,c_262]) ).
cnf(c_1910,plain,
para(sK10,sK7,sK10,sK7),
inference(resolve,[status(thm)],[c_1553,c_297]) ).
cnf(c_1939,plain,
( midp(A,sK4,sK4)
| ~ midp(A,sK2,sK2) ),
inference(resolve,[status(thm)],[c_1582,c_340]) ).
cnf(c_1984,plain,
para(sK9,sK5,sK9,sK5),
inference(resolve,[status(thm)],[c_1623,c_297]) ).
cnf(c_2016,plain,
para(sK2,sK1,sK1,sK2),
inference(resolve,[status(thm)],[c_1676,c_297]) ).
cnf(c_2201,plain,
perp(sK1,sK10,sK11(sK0(sK2,sK3,sK4,sK1),sK1,sK2,sK1,sK10),sK0(sK2,sK3,sK4,sK1)),
inference(resolve,[status(thm)],[c_618,c_293]) ).
cnf(c_2202,plain,
( para(A,B,sK1,sK10)
| ~ perp(A,B,sK11(sK0(sK2,sK3,sK4,sK1),sK1,sK2,sK1,sK10),sK0(sK2,sK3,sK4,sK1)) ),
inference(resolve,[status(thm)],[c_618,c_292]) ).
cnf(c_4749,plain,
para(sK9,sK6,sK9,sK6),
inference(resolve,[status(thm)],[c_1739,c_297]) ).
cnf(c_4825,plain,
eqangle(sK10,sK7,A,B,sK10,sK7,A,B),
inference(resolve,[status(thm)],[c_1910,c_262]) ).
cnf(c_4891,plain,
eqangle(sK9,sK5,A,B,sK9,sK5,A,B),
inference(resolve,[status(thm)],[c_1984,c_262]) ).
cnf(c_4920,plain,
para(sK1,sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_2016,c_296]) ).
cnf(c_4962,plain,
eqangle(sK9,sK6,A,B,sK9,sK6,A,B),
inference(resolve,[status(thm)],[c_4749,c_262]) ).
cnf(c_4991,plain,
para(sK1,sK2,sK1,sK2),
inference(resolve,[status(thm)],[c_4920,c_297]) ).
cnf(c_5083,plain,
( midp(A,sK2,sK2)
| ~ midp(A,sK1,sK1) ),
inference(resolve,[status(thm)],[c_4991,c_340]) ).
cnf(c_25946,plain,
( eqratio(sK8,sK8,sK8,sK10,sK8,sK10,sK10,sK8)
| ~ coll(sK8,sK10,sK8) ),
inference(resolve,[status(thm)],[c_1414,c_1470]) ).
cnf(c_6270,plain,
eqratio(sK8,sK8,sK8,sK10,sK8,sK10,sK10,sK8),
inference(resolve,[status(thm)],[c_1475,c_25946]) ).
cnf(c_25947,plain,
( ~ cong(sK8,sK8,sK8,sK10)
| midp(sK10,sK10,sK10)
| ~ coll(sK10,sK10,sK10) ),
inference(resolve,[status(thm)],[c_1441,c_316]) ).
cnf(c_6409,plain,
( ~ cong(sK8,sK8,sK8,sK10)
| midp(sK10,sK10,sK10) ),
inference(resolve,[status(thm)],[c_768,c_25947]) ).
cnf(c_6410,plain,
eqangle(A,B,sK8,sK10,A,B,sK8,sK10),
inference(resolve,[status(thm)],[c_1441,c_283]) ).
cnf(c_6412,plain,
( cyclic(sK10,A,sK8,sK8)
| ~ coll(sK8,sK8,A) ),
inference(resolve,[status(thm)],[c_1441,c_259]) ).
cnf(c_6413,plain,
( cong(sK10,A,sK10,A)
| ~ cyclic(sK10,A,sK8,sK8)
| ~ cyclic(sK10,A,sK8,A)
| ~ cyclic(sK10,A,sK8,sK10) ),
inference(resolve,[status(thm)],[c_1441,c_258]) ).
cnf(c_7166,plain,
( cyclic(sK9,A,sK5,sK5)
| ~ coll(sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_1655,c_259]) ).
cnf(c_8027,plain,
( cyclic(sK8,A,sK10,sK10)
| ~ coll(sK10,sK10,A) ),
inference(resolve,[status(thm)],[c_1880,c_259]) ).
cnf(c_8028,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK10,sK10)
| ~ cyclic(sK8,A,sK10,A)
| ~ cyclic(sK8,A,sK10,sK8) ),
inference(resolve,[status(thm)],[c_1880,c_258]) ).
cnf(c_8035,plain,
( ~ cong(sK10,sK10,sK10,A)
| ~ cong(sK10,sK10,sK10,sK8)
| midp(A,sK8,A)
| ~ coll(A,sK8,A) ),
inference(resolve,[status(thm)],[c_1880,c_188]) ).
cnf(c_9289,plain,
para(sK1,sK10,sK1,sK10),
inference(resolve,[status(thm)],[c_2202,c_2201]) ).
cnf(c_9294,plain,
para(sK1,sK10,sK10,sK1),
inference(resolve,[status(thm)],[c_9289,c_297]) ).
cnf(c_9308,plain,
para(sK10,sK1,sK1,sK10),
inference(resolve,[status(thm)],[c_9294,c_296]) ).
cnf(c_9324,plain,
para(sK10,sK1,sK10,sK1),
inference(resolve,[status(thm)],[c_9308,c_297]) ).
cnf(c_9336,plain,
( midp(A,sK1,sK1)
| ~ midp(A,sK10,sK10) ),
inference(resolve,[status(thm)],[c_9324,c_340]) ).
cnf(c_10431,plain,
( cyclic(sK7,A,sK10,sK10)
| ~ coll(sK10,sK10,A) ),
inference(resolve,[status(thm)],[c_4825,c_259]) ).
cnf(c_10515,plain,
( cyclic(sK5,A,sK9,sK9)
| ~ coll(sK9,sK9,A) ),
inference(resolve,[status(thm)],[c_4891,c_259]) ).
cnf(c_10516,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK9,sK9)
| ~ cyclic(sK5,A,sK9,A)
| ~ cyclic(sK5,A,sK9,sK5) ),
inference(resolve,[status(thm)],[c_4891,c_258]) ).
cnf(c_10561,plain,
( cyclic(sK6,A,sK9,sK9)
| ~ coll(sK9,sK9,A) ),
inference(resolve,[status(thm)],[c_4962,c_259]) ).
cnf(c_10988,plain,
( cong(sK8,sK8,sK8,sK10)
| ~ cong(sK8,sK10,sK10,sK8) ),
inference(resolve,[status(thm)],[c_6270,c_232]) ).
cnf(c_11138,plain,
( cong(sK8,sK10,sK8,sK10)
| ~ cyclic(sK8,sK10,sK8,sK10)
| ~ cyclic(sK8,sK10,sK8,sK8) ),
inference(resolve,[status(thm)],[c_6410,c_347]) ).
cnf(c_11141,plain,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_6410,c_263]) ).
cnf(c_25948,plain,
( cyclic(A,sK10,sK8,sK8)
| ~ coll(sK8,sK8,sK10) ),
inference(resolve,[status(thm)],[c_6410,c_259]) ).
cnf(c_11143,plain,
cyclic(A,sK10,sK8,sK8),
inference(resolve,[status(thm)],[c_1470,c_25948]) ).
cnf(c_11149,plain,
( ~ cong(sK8,sK8,sK8,sK10)
| ~ cong(sK8,sK8,sK8,A)
| midp(sK10,A,sK10)
| ~ coll(sK10,A,sK10) ),
inference(resolve,[status(thm)],[c_6410,c_188]) ).
cnf(c_11154,plain,
( cong(sK8,sK10,sK8,sK10)
| ~ cyclic(sK8,sK10,sK8,sK10) ),
inference(resolve,[status(thm)],[c_11143,c_11138]) ).
cnf(c_11156,plain,
( midp(A,C,C)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_11141,c_340]) ).
cnf(c_11164,plain,
( midp(C,B,C)
| ~ coll(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_11141,c_256]) ).
cnf(c_11166,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_11141,c_240]) ).
cnf(c_11463,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_11166,c_354]) ).
cnf(c_11464,plain,
coll(A,B,A),
inference(resolve,[status(thm)],[c_11166,c_299]) ).
cnf(c_11481,plain,
cyclic(sK6,A,sK9,sK9),
inference(resolve,[status(thm)],[c_11463,c_10561]) ).
cnf(c_11484,plain,
cyclic(sK5,A,sK9,sK9),
inference(resolve,[status(thm)],[c_11463,c_10515]) ).
cnf(c_11489,plain,
cyclic(sK7,A,sK10,sK10),
inference(resolve,[status(thm)],[c_11463,c_10431]) ).
cnf(c_11500,plain,
cyclic(sK8,A,sK10,sK10),
inference(resolve,[status(thm)],[c_11463,c_8027]) ).
cnf(c_11510,plain,
cyclic(sK9,A,sK5,sK5),
inference(resolve,[status(thm)],[c_11463,c_7166]) ).
cnf(c_11512,plain,
cyclic(sK10,A,sK8,sK8),
inference(resolve,[status(thm)],[c_11463,c_6412]) ).
cnf(c_11694,plain,
( midp(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_11464,c_11164]) ).
cnf(c_11695,plain,
( ~ cong(sK8,sK8,sK8,sK10)
| ~ cong(sK8,sK8,sK8,A)
| midp(sK10,A,sK10) ),
inference(resolve,[status(thm)],[c_11464,c_11149]) ).
cnf(c_11711,plain,
( ~ cong(sK10,sK10,sK10,A)
| ~ cong(sK10,sK10,sK10,sK8)
| midp(A,sK8,A) ),
inference(resolve,[status(thm)],[c_11464,c_8035]) ).
cnf(c_11743,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK9,A)
| ~ cyclic(sK5,A,sK9,sK5) ),
inference(resolve,[status(thm)],[c_11484,c_10516]) ).
cnf(c_11767,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK10,A)
| ~ cyclic(sK8,A,sK10,sK8) ),
inference(resolve,[status(thm)],[c_11500,c_8028]) ).
cnf(c_11779,plain,
( cong(sK10,A,sK10,A)
| ~ cyclic(sK10,A,sK8,A)
| ~ cyclic(sK10,A,sK8,sK10) ),
inference(resolve,[status(thm)],[c_11512,c_6413]) ).
cnf(c_12628,plain,
cyclic(A,sK8,sK10,sK8),
inference(resolve,[status(thm)],[c_11143,c_287]) ).
cnf(c_12681,plain,
cyclic(sK6,sK9,A,sK9),
inference(resolve,[status(thm)],[c_11481,c_287]) ).
cnf(c_12697,plain,
cyclic(sK5,sK9,A,sK9),
inference(resolve,[status(thm)],[c_11484,c_287]) ).
cnf(c_12775,plain,
cyclic(sK7,sK10,A,sK10),
inference(resolve,[status(thm)],[c_11489,c_287]) ).
cnf(c_12856,plain,
cyclic(sK8,sK10,A,sK10),
inference(resolve,[status(thm)],[c_11500,c_287]) ).
cnf(c_12871,plain,
cong(sK8,sK10,sK8,sK10),
inference(resolve,[status(thm)],[c_12856,c_11154]) ).
cnf(c_12891,plain,
cyclic(sK9,sK5,A,sK5),
inference(resolve,[status(thm)],[c_11510,c_287]) ).
cnf(c_12925,plain,
cyclic(sK10,sK8,A,sK8),
inference(resolve,[status(thm)],[c_11512,c_287]) ).
cnf(c_12999,plain,
cyclic(sK8,A,sK10,sK8),
inference(resolve,[status(thm)],[c_12628,c_286]) ).
cnf(c_13015,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK10,A) ),
inference(resolve,[status(thm)],[c_12999,c_11767]) ).
cnf(c_13157,plain,
cyclic(sK6,sK9,sK9,A),
inference(resolve,[status(thm)],[c_12681,c_288]) ).
cnf(c_13190,plain,
cyclic(sK9,sK5,A,sK9),
inference(resolve,[status(thm)],[c_12697,c_286]) ).
cnf(c_13329,plain,
cyclic(sK7,sK10,sK10,A),
inference(resolve,[status(thm)],[c_12775,c_288]) ).
cnf(c_13527,plain,
cyclic(sK10,sK8,A,sK10),
inference(resolve,[status(thm)],[c_12856,c_286]) ).
cnf(c_13589,plain,
cong(sK8,sK10,sK10,sK8),
inference(resolve,[status(thm)],[c_12871,c_279]) ).
cnf(c_13605,plain,
cong(sK8,sK8,sK8,sK10),
inference(resolve,[status(thm)],[c_13589,c_10988]) ).
cnf(c_13607,plain,
( ~ cong(sK8,sK8,sK8,A)
| midp(sK10,A,sK10) ),
inference(resolve,[status(thm)],[c_13605,c_11695]) ).
cnf(c_13608,plain,
midp(sK10,sK10,sK10),
inference(resolve,[status(thm)],[c_13605,c_6409]) ).
cnf(c_13610,plain,
midp(sK10,sK1,sK1),
inference(resolve,[status(thm)],[c_13608,c_9336]) ).
cnf(c_13645,plain,
midp(sK10,sK2,sK2),
inference(resolve,[status(thm)],[c_13610,c_5083]) ).
cnf(c_13758,plain,
midp(sK10,sK4,sK4),
inference(resolve,[status(thm)],[c_13645,c_1939]) ).
cnf(c_13867,plain,
cyclic(sK9,sK5,sK5,A),
inference(resolve,[status(thm)],[c_12891,c_288]) ).
cnf(c_13868,plain,
cyclic(sK5,sK9,A,sK5),
inference(resolve,[status(thm)],[c_12891,c_286]) ).
cnf(c_13974,plain,
cyclic(sK10,sK8,sK8,A),
inference(resolve,[status(thm)],[c_12925,c_288]) ).
cnf(c_25949,plain,
( cyclic(sK9,sK9,A,B)
| ~ cyclic(sK6,sK9,sK9,A) ),
inference(resolve,[status(thm)],[c_13157,c_285]) ).
cnf(c_14501,plain,
cyclic(sK9,sK9,A,B),
inference(resolve,[status(thm)],[c_13157,c_25949]) ).
cnf(c_14716,plain,
( cyclic(sK5,A,sK9,B)
| ~ cyclic(sK9,sK5,A,B) ),
inference(resolve,[status(thm)],[c_13190,c_285]) ).
cnf(c_15248,plain,
cyclic(sK10,sK10,A,A),
inference(resolve,[status(thm)],[c_13329,c_349]) ).
cnf(c_25950,plain,
( cyclic(sK10,sK10,A,B)
| ~ cyclic(sK7,sK10,sK10,A) ),
inference(resolve,[status(thm)],[c_13329,c_285]) ).
cnf(c_15250,plain,
cyclic(sK10,sK10,A,B),
inference(resolve,[status(thm)],[c_13329,c_25950]) ).
cnf(c_15702,plain,
cyclic(sK10,A,sK8,sK10),
inference(resolve,[status(thm)],[c_13527,c_287]) ).
cnf(c_15704,plain,
( cyclic(sK8,A,sK10,B)
| ~ cyclic(sK10,sK8,A,B) ),
inference(resolve,[status(thm)],[c_13527,c_285]) ).
cnf(c_15718,plain,
( cong(sK10,A,sK10,A)
| ~ cyclic(sK10,A,sK8,A) ),
inference(resolve,[status(thm)],[c_15702,c_11779]) ).
cnf(c_16298,plain,
cyclic(sK5,sK5,A,A),
inference(resolve,[status(thm)],[c_13867,c_349]) ).
cnf(c_16314,plain,
cyclic(sK5,A,sK9,sK5),
inference(resolve,[status(thm)],[c_13868,c_287]) ).
cnf(c_16330,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK9,A) ),
inference(resolve,[status(thm)],[c_16314,c_11743]) ).
cnf(c_16503,plain,
cyclic(sK8,sK8,A,A),
inference(resolve,[status(thm)],[c_13974,c_349]) ).
cnf(c_25951,plain,
( cyclic(sK9,A,B,C)
| ~ cyclic(sK9,sK9,A,B) ),
inference(resolve,[status(thm)],[c_14501,c_285]) ).
cnf(c_16956,plain,
cyclic(sK9,A,B,C),
inference(resolve,[status(thm)],[c_14501,c_25951]) ).
cnf(c_16968,plain,
cyclic(sK5,A,sK9,B),
inference(resolve,[status(thm)],[c_16956,c_14716]) ).
cnf(c_17046,plain,
cong(sK5,A,sK5,A),
inference(resolve,[status(thm)],[c_16968,c_16330]) ).
cnf(c_17518,plain,
( perp(A,sK10,sK10,A)
| ~ cong(sK10,A,sK10,A) ),
inference(resolve,[status(thm)],[c_15248,c_343]) ).
cnf(c_25952,plain,
( cyclic(sK10,A,B,A)
| ~ cyclic(sK10,sK10,A,B) ),
inference(resolve,[status(thm)],[c_15248,c_285]) ).
cnf(c_17519,plain,
cyclic(sK10,A,B,A),
inference(resolve,[status(thm)],[c_15250,c_25952]) ).
cnf(c_17532,plain,
cong(sK10,A,sK10,A),
inference(resolve,[status(thm)],[c_17519,c_15718]) ).
cnf(c_17533,plain,
perp(A,sK10,sK10,A),
inference(resolve,[status(thm)],[c_17532,c_17518]) ).
cnf(c_25953,plain,
( cyclic(sK10,A,B,C)
| ~ cyclic(sK10,sK10,A,B) ),
inference(resolve,[status(thm)],[c_15250,c_285]) ).
cnf(c_17603,plain,
cyclic(sK10,A,B,C),
inference(resolve,[status(thm)],[c_15250,c_25953]) ).
cnf(c_17615,plain,
cyclic(sK8,A,sK10,B),
inference(resolve,[status(thm)],[c_17603,c_15704]) ).
cnf(c_17678,plain,
cong(sK8,A,sK8,A),
inference(resolve,[status(thm)],[c_17615,c_13015]) ).
cnf(c_25954,plain,
( perp(A,sK5,sK5,A)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_16298,c_343]) ).
cnf(c_18450,plain,
perp(A,sK5,sK5,A),
inference(resolve,[status(thm)],[c_17046,c_25954]) ).
cnf(c_25955,plain,
( perp(A,sK8,sK8,A)
| ~ cong(sK8,A,sK8,A) ),
inference(resolve,[status(thm)],[c_16503,c_343]) ).
cnf(c_18691,plain,
perp(A,sK8,sK8,A),
inference(resolve,[status(thm)],[c_17678,c_25955]) ).
cnf(c_20380,plain,
perp(sK10,A,A,sK10),
inference(resolve,[status(thm)],[c_17533,c_293]) ).
cnf(c_21215,plain,
perp(sK5,A,A,sK5),
inference(resolve,[status(thm)],[c_18450,c_293]) ).
cnf(c_21345,plain,
perp(sK8,A,A,sK8),
inference(resolve,[status(thm)],[c_18691,c_293]) ).
cnf(c_21794,plain,
perp(sK10,A,sK10,A),
inference(resolve,[status(thm)],[c_20380,c_294]) ).
cnf(c_22148,plain,
( cong(sK5,A,B,A)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_21215,c_253]) ).
cnf(c_22245,plain,
perp(sK8,A,sK8,A),
inference(resolve,[status(thm)],[c_21345,c_294]) ).
cnf(c_22928,plain,
( cong(sK10,sK10,sK10,A)
| ~ midp(A,sK10,A) ),
inference(resolve,[status(thm)],[c_21794,c_251]) ).
cnf(c_23188,plain,
( cong(sK8,sK8,sK8,A)
| ~ midp(A,sK8,A) ),
inference(resolve,[status(thm)],[c_22245,c_251]) ).
cnf(c_23719,plain,
midp(sK10,A,A),
inference(resolve,[status(thm)],[c_11156,c_13758]) ).
cnf(c_23724,plain,
midp(A,sK10,A),
inference(resolve,[status(thm)],[c_11694,c_23719]) ).
cnf(c_23725,plain,
cong(sK10,sK10,sK10,A),
inference(resolve,[status(thm)],[c_23724,c_22928]) ).
cnf(c_25956,plain,
( ~ cong(sK10,sK10,sK10,A)
| midp(A,sK8,A) ),
inference(resolve,[status(thm)],[c_23725,c_11711]) ).
cnf(c_23741,plain,
midp(A,sK8,A),
inference(resolve,[status(thm)],[c_23725,c_25956]) ).
cnf(c_23745,plain,
cong(sK8,sK8,sK8,A),
inference(resolve,[status(thm)],[c_23741,c_23188]) ).
cnf(c_23764,plain,
midp(sK10,A,sK10),
inference(resolve,[status(thm)],[c_23745,c_13607]) ).
cnf(c_23828,plain,
midp(A,B,A),
inference(resolve,[status(thm)],[c_23764,c_11694]) ).
cnf(c_24112,plain,
midp(A,B,B),
inference(resolve,[status(thm)],[c_23828,c_11156]) ).
cnf(c_24137,plain,
cong(sK5,A,B,A),
inference(resolve,[status(thm)],[c_24112,c_22148]) ).
cnf(c_25957,plain,
( perp(sK5,B,A,C)
| ~ cong(sK5,A,B,A) ),
inference(resolve,[status(thm)],[c_24137,c_250]) ).
cnf(c_25944,plain,
perp(sK5,A,B,C),
inference(resolve,[status(thm)],[c_24137,c_25957]) ).
cnf(c_25945,plain,
$false,
inference(resolve,[status(thm)],[c_25944,c_192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO630+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.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 13:45:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 3300239 was started by sandbox on n004,
% 0.10/0.36 % Fri Sep 25 13:45:35 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.39
% 0.13/0.39 % From the command line: assign(max_seconds, 300).
% 43.49/5.99
% 43.49/5.99 % given #500 (T,wt=9): 1281 coll(c1,c7,c10). [resolve(1277,a,561,a)].
% 43.49/5.99
% 43.49/5.99 % given #1000 (A,wt=13): 754 -coll(c5,c6,A) | coll(c5,A,c5). [resolve(614,a,298,a)].
% 43.49/5.99
% 43.49/5.99 % given #1500 (W,wt=9): 4598 coll(c6,c5,c3). [resolve(4256,a,300,a)].
% 43.49/5.99
% 43.49/5.99 % given #2000 (T,wt=13): 2083 -coll(c6,c4,A) | coll(A,c1,c6). [resolve(2060,a,298,b)].
% 43.49/5.99
% 43.49/5.99 % given #2500 (W,wt=13): 2907 -coll(c5,c10,A) | coll(c1,A,c5). [resolve(2646,a,298,a)].
% 43.49/5.99
% 43.49/5.99 % given #3000 (T,wt=13): 3719 -coll(c3,c7,A) | coll(c6,A,c3). [resolve(3208,a,298,a)].
% 43.49/5.99
% 43.49/5.99 % given #3500 (A,wt=34): 1883 -midp(A,c6,c6) | -para(c6,c7,B,A) | -coll(c7,c7,B) | coll(f8(c6,c6,C,c7,c7,B,A),c6,c7). [resolve(1504,a,217,c)].
% 43.49/5.99
% 43.49/5.99 % given #4000 (T,wt=13): 5531 -coll(c10,c7,A) | coll(A,c9,c10). [resolve(5513,a,298,b)].
% 43.49/5.99
% 43.49/5.99 % given #4500 (A,wt=33): 2446 perp(f17(f12(c1,c5,c11,c4),c4,c1,c10,c5),f12(c1,c5,c11,c4),c10,c5). [resolve(2382,a,377,a)].
% 43.49/5.99
% 43.49/5.99 % given #5000 (T,wt=9): 11681 coll(c5,A,c4). [back_unit_del(585),unit_del(a,11463)].
% 43.49/5.99
% 43.49/5.99 % given #5500 (A,wt=28): 3368 coll(f17(f12(c1,c5,c11,c4),c4,c1,c1,c10),c1,c10). [resolve(2914,a,380,a)].
% 43.49/6.00
% 43.49/6.00 % given #6000 (W,wt=10): 18963 perp(c8,c8,A,B). [back_unit_del(18216),unit_del(a,18923)].
% 43.49/6.00
% 43.49/6.00 % given #6500 (T,wt=10): 23178 perp(A,c8,c5,c9). [resolve(22222,a,293,a)].
% 43.49/6.00
% 43.49/6.00 % SZS status Theorem for theBenchmark
% 43.49/6.00
% 43.49/6.00 % Proof 1 at 4.19 (+ 1.30) seconds.
% 43.49/6.00 % Length of proof is 240.
% 43.49/6.00 % Level of proof is 28.
% 43.49/6.00 % Maximum clause weight is 38.000.
% 43.49/6.00 % Given clauses 6644.
% 43.49/6.00
% 43.49/6.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------