%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO633+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 : n020.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 07:18:16 AM UTC 2026
% Result : Theorem 63.77s 8.83s
% Output : CNFRefutation 63.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 38
% Syntax : Number of formulae : 282 ( 137 unt; 0 def)
% Number of atoms : 543 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 428 ( 167 ~; 163 |; 59 &)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-7 aty)
% Number of variables : 548 ( 46 sgn 201 !; 10 ?)
% 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(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(ruleD13,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,D)
& cong(O,A,O,C)
& cong(O,A,O,B) )
=> cyclic(A,B,C,D) ),
file('theBenchmark.p',ruleD13) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('theBenchmark.p',ruleD14) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('theBenchmark.p',ruleD15) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('theBenchmark.p',ruleD16) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,E)
& cyclic(A,B,C,D) )
=> cyclic(B,C,D,E) ),
file('theBenchmark.p',ruleD17) ).
fof(ruleD18,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(B,A,C,D,P,Q,U,V) ),
file('theBenchmark.p',ruleD18) ).
fof(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(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('theBenchmark.p',ruleD40) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ),
file('theBenchmark.p',ruleD41) ).
fof(ruleD42b,axiom,
! [A,B,P,Q] :
( ( coll(P,Q,B)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('theBenchmark.p',ruleD42b) ).
fof(ruleD43,axiom,
! [A,B,C,P,Q,R] :
( ( eqangle(C,A,C,B,R,P,R,Q)
& cyclic(A,B,C,R)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,P) )
=> cong(A,B,P,Q) ),
file('theBenchmark.p',ruleD43) ).
fof(ruleD44,axiom,
! [A,B,C,E,F] :
( ( midp(F,A,C)
& midp(E,A,B) )
=> para(E,F,B,C) ),
file('theBenchmark.p',ruleD44) ).
fof(ruleD45,axiom,
! [A,B,C,E,F] :
( ( coll(F,A,C)
& para(E,F,B,C)
& midp(E,A,B) )
=> midp(F,A,C) ),
file('theBenchmark.p',ruleD45) ).
fof(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(ruleD53,axiom,
! [A,B,C,O] :
( ( coll(O,A,C)
& circle(O,A,B,C) )
=> perp(A,B,B,C) ),
file('theBenchmark.p',ruleD53) ).
fof(ruleD55,axiom,
! [A,B,M,O] :
( ( perp(O,M,A,B)
& midp(M,A,B) )
=> cong(O,A,O,B) ),
file('theBenchmark.p',ruleD55) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(A,B,P,Q) ),
file('theBenchmark.p',ruleD56) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cyclic(A,B,P,Q)
& cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(P,A,A,Q) ),
file('theBenchmark.p',ruleD57) ).
fof(ruleD63,axiom,
! [A,B,C,D,M] :
( ( midp(M,C,D)
& midp(M,A,B) )
=> para(A,C,B,D) ),
file('theBenchmark.p',ruleD63) ).
fof(ruleD64,axiom,
! [A,B,C,D,M] :
( ( para(A,D,B,C)
& para(A,C,B,D)
& midp(M,A,B) )
=> midp(M,C,D) ),
file('theBenchmark.p',ruleD64) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('theBenchmark.p',ruleD66) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( coll(A,B,C)
& cong(A,B,A,C) )
=> midp(A,B,C) ),
file('theBenchmark.p',ruleD67) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('theBenchmark.p',ruleD68) ).
fof(ruleD69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('theBenchmark.p',ruleD69) ).
fof(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(ruleX7,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( coll(D,A,B)
& coll(C,A,B)
& midp(N,C,D)
& midp(M,A,B) )
=> midp(P,A,Q) ),
file('theBenchmark.p',ruleX7) ).
fof(exemplo6GDDFULL8110996,conjecture,
! [A,B,C,A1,S,N,G,H] :
( ( coll(H,A,C)
& perp(H,N,A,C)
& coll(G,A,B)
& perp(G,N,A,B)
& coll(N,A,A1)
& coll(S,B,C)
& eqangle(S,A,A,B,C,A,A,A1)
& midp(A1,C,B) )
=> perp(G,H,A,S) ),
file('theBenchmark.p',exemplo6GDDFULL8110996) ).
fof(exemplo6GDDFULL8110996_neg,negated_conjecture,
~ ! [A,B,C,A1,S,N,G,H] :
( ( coll(H,A,C)
& perp(H,N,A,C)
& coll(G,A,B)
& perp(G,N,A,B)
& coll(N,A,A1)
& coll(S,B,C)
& eqangle(S,A,A,B,C,A,A,A1)
& midp(A1,C,B) )
=> perp(G,H,A,S) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110996]) ).
cnf(c_97,plain,
( circle(A,B,C,D)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD12]) ).
cnf(c_100,plain,
( midp(E,C,D)
| ~ eqangle(B,C,B,D,A,C,A,E)
| ~ coll(E,C,D)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD51]) ).
cnf(c_101,plain,
( perp(B,C,C,D)
| ~ coll(A,B,D)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD53]) ).
cnf(c_142,plain,
( ~ cong(A,B,A,C)
| ~ cong(A,B,A,D)
| perp(B,D,D,C)
| ~ coll(A,B,C) ),
inference(resolve,[status(thm)],[c_101,c_97]) ).
cnf(c_143,plain,
( ~ cong(E,D,E,C)
| ~ cong(E,D,E,B)
| midp(A,B,C)
| ~ eqangle(D,B,D,C,E,B,E,A)
| ~ coll(A,B,C) ),
inference(resolve,[status(thm)],[c_100,c_97]) ).
fof(nnf_95,plain,
? [A,B,C,A1,S,N,G,H] :
( ~ perp(G,H,A,S)
& coll(H,A,C)
& perp(H,N,A,C)
& coll(G,A,B)
& perp(G,N,A,B)
& coll(N,A,A1)
& coll(S,B,C)
& eqangle(S,A,A,B,C,A,A,A1)
& midp(A1,C,B) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL8110996_neg]) ).
fof(sk_exemplo6GDDFULL8110996_neg,plain,
( ~ perp(sK0,sK1,sK2,sK3)
& coll(sK1,sK2,sK4)
& perp(sK1,sK5,sK2,sK4)
& coll(sK0,sK2,sK6)
& perp(sK0,sK5,sK2,sK6)
& coll(sK5,sK2,sK7)
& coll(sK3,sK6,sK4)
& eqangle(sK3,sK2,sK2,sK6,sK4,sK2,sK2,sK7)
& midp(sK7,sK4,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK4,sK6,sK3,sK2,sK5,sK0,sK1]),skolemize(A,sK2),skolemize(B,sK6),skolemize(C,sK4),skolemize(A1,sK7),skolemize(S,sK3),skolemize(N,sK5),skolemize(G,sK0),skolemize(H,sK1)],[nnf_95]) ).
cnf(c_147,negated_conjecture,
~ perp(sK0,sK1,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110996_neg]) ).
cnf(c_148,negated_conjecture,
coll(sK1,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110996_neg]) ).
cnf(c_149,negated_conjecture,
perp(sK1,sK5,sK2,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110996_neg]) ).
cnf(c_150,negated_conjecture,
coll(sK0,sK2,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110996_neg]) ).
cnf(c_151,negated_conjecture,
perp(sK0,sK5,sK2,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110996_neg]) ).
cnf(c_152,negated_conjecture,
coll(sK5,sK2,sK7),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110996_neg]) ).
cnf(c_153,negated_conjecture,
coll(sK3,sK6,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110996_neg]) ).
cnf(c_154,negated_conjecture,
eqangle(sK3,sK2,sK2,sK6,sK4,sK2,sK2,sK7),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110996_neg]) ).
cnf(c_155,negated_conjecture,
midp(sK7,sK4,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110996_neg]) ).
fof(nnf_83,plain,
! [A,B,C,D,M,N,Q] :
? [P] :
( midp(P,A,Q)
| ~ coll(D,A,B)
| ~ coll(C,A,B)
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(fof_nnf,[status(thm)],[ruleX7]) ).
fof(sk_ruleX7,plain,
! [A,B,C,D,M,N,Q] :
( midp(sK8(A,B,C,D,M,N,Q),A,Q)
| ~ coll(D,A,B)
| ~ coll(C,A,B)
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(P,sK8(A,B,C,D,M,N,Q))],[nnf_83]) ).
cnf(c_172,plain,
( midp(sK8(B,C,E,F,A,D,V6),B,V6)
| ~ coll(F,B,C)
| ~ coll(E,B,C)
| ~ midp(D,E,F)
| ~ midp(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_ruleX7]) ).
cnf(c_188,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_191,plain,
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD69]) ).
cnf(c_192,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_193,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_194,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_196,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_197,plain,
( para(B,D,C,E)
| ~ midp(A,D,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD63]) ).
cnf(c_203,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_204,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_205,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_210,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_211,plain,
( para(A,D,C,E)
| ~ midp(D,B,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD44]) ).
cnf(c_212,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_213,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_215,plain,
( eqangle(C,A,C,B,D,A,D,B)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD41]) ).
cnf(c_216,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_235,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_238,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_239,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_240,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_241,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_242,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_243,plain,
( cyclic(B,C,D,E)
| ~ cong(A,B,A,E)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD13]) ).
cnf(c_244,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_245,plain,
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD10]) ).
cnf(c_246,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_247,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_248,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_250,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_251,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_252,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_253,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_254,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_269,plain,
( ~ cong(A,B,A,C)
| perp(B,C,C,C)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_142]) ).
cnf(c_270,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_143]) ).
cnf(c_287,plain,
( midp(sK8(B,C,B,C,A,A,D),B,D)
| ~ coll(C,B,C)
| ~ coll(B,B,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_172]) ).
cnf(c_294,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_196]) ).
cnf(c_295,plain,
( para(B,B,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_197]) ).
cnf(c_300,plain,
( cong(A,B,D,D)
| ~ eqangle(C,A,C,B,E,D,E,D)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_212]) ).
cnf(c_301,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_212]) ).
cnf(c_303,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_239]) ).
cnf(c_304,plain,
( cyclic(B,C,C,D)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_243]) ).
cnf(c_308,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_252]) ).
cnf(c_316,plain,
( cong(A,B,D,D)
| ~ eqangle(C,A,C,B,D,D,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_300]) ).
cnf(c_317,plain,
( cyclic(B,C,C,C)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_304]) ).
cnf(c_351,plain,
coll(sK7,sK4,sK6),
inference(resolve,[status(thm)],[c_191,c_155]) ).
cnf(c_352,plain,
cong(sK7,sK4,sK7,sK6),
inference(resolve,[status(thm)],[c_192,c_155]) ).
cnf(c_353,plain,
( para(sK4,A,sK6,B)
| ~ midp(sK7,A,B) ),
inference(resolve,[status(thm)],[c_197,c_155]) ).
cnf(c_359,plain,
( para(A,sK7,B,sK6)
| ~ midp(A,sK4,B) ),
inference(resolve,[status(thm)],[c_211,c_155]) ).
cnf(c_362,plain,
eqangle(sK3,sK2,sK4,sK2,sK2,sK6,sK2,sK7),
inference(resolve,[status(thm)],[c_235,c_154]) ).
cnf(c_366,plain,
midp(sK7,sK6,sK4),
inference(resolve,[status(thm)],[c_244,c_155]) ).
cnf(c_369,plain,
( para(A,B,sK2,sK6)
| ~ perp(A,B,sK0,sK5) ),
inference(resolve,[status(thm)],[c_246,c_151]) ).
cnf(c_370,plain,
( para(A,B,sK2,sK4)
| ~ perp(A,B,sK1,sK5) ),
inference(resolve,[status(thm)],[c_246,c_149]) ).
cnf(c_373,plain,
perp(sK0,sK5,sK6,sK2),
inference(resolve,[status(thm)],[c_248,c_151]) ).
cnf(c_374,plain,
perp(sK1,sK5,sK4,sK2),
inference(resolve,[status(thm)],[c_248,c_149]) ).
cnf(c_383,plain,
coll(sK6,sK3,sK4),
inference(resolve,[status(thm)],[c_253,c_153]) ).
cnf(c_385,plain,
coll(sK2,sK0,sK6),
inference(resolve,[status(thm)],[c_253,c_150]) ).
cnf(c_386,plain,
coll(sK2,sK1,sK4),
inference(resolve,[status(thm)],[c_253,c_148]) ).
cnf(c_391,plain,
( midp(sK8(sK4,sK6,sK4,sK6,sK7,sK7,A),sK4,A)
| ~ coll(sK6,sK4,sK6)
| ~ coll(sK4,sK4,sK6) ),
inference(resolve,[status(thm)],[c_287,c_155]) ).
cnf(c_399,plain,
coll(sK7,sK7,sK5),
inference(resolve,[status(thm)],[c_308,c_152]) ).
cnf(c_400,plain,
coll(sK6,sK6,sK0),
inference(resolve,[status(thm)],[c_308,c_150]) ).
cnf(c_402,plain,
coll(sK6,sK6,sK7),
inference(resolve,[status(thm)],[c_351,c_308]) ).
cnf(c_403,plain,
coll(sK7,sK6,sK4),
inference(resolve,[status(thm)],[c_351,c_254]) ).
cnf(c_404,plain,
coll(sK4,sK7,sK6),
inference(resolve,[status(thm)],[c_351,c_253]) ).
cnf(c_414,plain,
( midp(sK8(sK6,sK4,sK6,sK4,sK7,sK7,A),sK6,A)
| ~ coll(sK4,sK6,sK4)
| ~ coll(sK6,sK6,sK4) ),
inference(resolve,[status(thm)],[c_366,c_287]) ).
cnf(c_419,plain,
cong(sK7,sK6,sK7,sK4),
inference(resolve,[status(thm)],[c_366,c_192]) ).
cnf(c_430,plain,
coll(sK4,sK4,sK6),
inference(resolve,[status(thm)],[c_383,c_308]) ).
cnf(c_434,plain,
( midp(sK8(sK4,sK6,sK4,sK6,sK7,sK7,A),sK4,A)
| ~ coll(sK6,sK4,sK6) ),
inference(resolve,[status(thm)],[c_430,c_391]) ).
cnf(c_439,plain,
coll(sK6,sK6,sK2),
inference(resolve,[status(thm)],[c_385,c_308]) ).
cnf(c_443,plain,
coll(sK4,sK4,sK2),
inference(resolve,[status(thm)],[c_386,c_308]) ).
cnf(c_469,plain,
( coll(A,sK5,sK7)
| ~ coll(sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_399,c_252]) ).
cnf(c_470,plain,
( coll(sK5,A,sK7)
| ~ coll(sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_399,c_252]) ).
cnf(c_472,plain,
coll(sK6,sK0,sK6),
inference(resolve,[status(thm)],[c_400,c_254]) ).
cnf(c_479,plain,
coll(sK7,sK7,sK6),
inference(resolve,[status(thm)],[c_402,c_308]) ).
cnf(c_483,plain,
coll(sK4,sK4,sK7),
inference(resolve,[status(thm)],[c_403,c_308]) ).
cnf(c_487,plain,
coll(sK6,sK6,sK4),
inference(resolve,[status(thm)],[c_404,c_308]) ).
cnf(c_490,plain,
( coll(sK6,A,sK4)
| ~ coll(sK4,sK7,A) ),
inference(resolve,[status(thm)],[c_404,c_252]) ).
cnf(c_491,plain,
( midp(sK8(sK6,sK4,sK6,sK4,sK7,sK7,A),sK6,A)
| ~ coll(sK4,sK6,sK4) ),
inference(resolve,[status(thm)],[c_487,c_414]) ).
cnf(c_492,plain,
coll(sK4,sK6,sK4),
inference(resolve,[status(thm)],[c_430,c_254]) ).
cnf(c_495,plain,
midp(sK8(sK6,sK4,sK6,sK4,sK7,sK7,A),sK6,A),
inference(resolve,[status(thm)],[c_492,c_491]) ).
cnf(c_508,plain,
coll(sK2,sK2,sK6),
inference(resolve,[status(thm)],[c_439,c_308]) ).
cnf(c_516,plain,
coll(sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_443,c_308]) ).
cnf(c_561,plain,
coll(sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_472,c_308]) ).
cnf(c_577,plain,
coll(sK7,sK7,sK4),
inference(resolve,[status(thm)],[c_483,c_308]) ).
cnf(c_584,plain,
coll(sK6,sK4,sK6),
inference(resolve,[status(thm)],[c_487,c_254]) ).
cnf(c_586,plain,
( coll(sK4,A,sK6)
| ~ coll(sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_487,c_252]) ).
cnf(c_587,plain,
midp(sK8(sK4,sK6,sK4,sK6,sK7,sK7,A),sK4,A),
inference(resolve,[status(thm)],[c_584,c_434]) ).
cnf(c_688,plain,
coll(sK4,sK6,sK6),
inference(resolve,[status(thm)],[c_584,c_253]) ).
cnf(c_770,plain,
cyclic(sK4,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_352,c_317]) ).
cnf(c_33228,plain,
( perp(sK4,sK6,sK6,sK6)
| ~ coll(sK7,sK4,sK6) ),
inference(resolve,[status(thm)],[c_352,c_269]) ).
cnf(c_786,plain,
perp(sK4,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_351,c_33228]) ).
cnf(c_881,plain,
perp(sK6,sK2,sK0,sK5),
inference(resolve,[status(thm)],[c_373,c_247]) ).
cnf(c_895,plain,
perp(sK4,sK2,sK1,sK5),
inference(resolve,[status(thm)],[c_374,c_247]) ).
cnf(c_33229,plain,
( perp(sK6,sK4,sK4,sK4)
| ~ coll(sK7,sK6,sK4) ),
inference(resolve,[status(thm)],[c_419,c_269]) ).
cnf(c_981,plain,
perp(sK6,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_403,c_33229]) ).
cnf(c_1048,plain,
cyclic(sK6,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_770,c_303]) ).
cnf(c_1050,plain,
cyclic(sK6,sK4,sK6,sK6),
inference(resolve,[status(thm)],[c_770,c_240]) ).
cnf(c_1073,plain,
( cong(sK4,sK6,sK4,sK6)
| ~ midp(sK6,sK6,sK6) ),
inference(resolve,[status(thm)],[c_786,c_205]) ).
cnf(c_1094,plain,
para(sK4,sK6,sK6,sK4),
inference(resolve,[status(thm)],[c_353,c_366]) ).
cnf(c_1199,plain,
perp(sK4,sK4,sK6,sK4),
inference(resolve,[status(thm)],[c_981,c_247]) ).
cnf(c_1225,plain,
eqangle(sK6,sK6,sK6,sK6,sK6,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_1048,c_215]) ).
cnf(c_1242,plain,
cyclic(sK6,sK6,sK4,sK6),
inference(resolve,[status(thm)],[c_1050,c_241]) ).
cnf(c_1282,plain,
para(sK4,sK6,sK4,sK6),
inference(resolve,[status(thm)],[c_1094,c_251]) ).
cnf(c_1404,plain,
( para(sK4,sK4,A,B)
| ~ perp(sK6,sK4,A,B) ),
inference(resolve,[status(thm)],[c_1199,c_246]) ).
cnf(c_1418,plain,
cyclic(sK6,sK6,sK6,sK4),
inference(resolve,[status(thm)],[c_1242,c_242]) ).
cnf(c_1464,plain,
eqangle(sK4,sK6,A,B,sK4,sK6,A,B),
inference(resolve,[status(thm)],[c_1282,c_216]) ).
cnf(c_1554,plain,
cyclic(sK6,sK6,sK4,sK4),
inference(resolve,[status(thm)],[c_1418,c_303]) ).
cnf(c_1556,plain,
( cyclic(sK6,sK6,A,sK4)
| ~ cyclic(sK6,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_1418,c_239]) ).
cnf(c_1557,plain,
( cyclic(sK6,sK6,sK4,A)
| ~ cyclic(sK6,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_1418,c_239]) ).
cnf(c_1600,plain,
eqangle(sK2,sK3,sK4,sK2,sK2,sK6,sK2,sK7),
inference(resolve,[status(thm)],[c_362,c_238]) ).
cnf(c_1654,plain,
cyclic(sK6,sK4,sK6,sK4),
inference(resolve,[status(thm)],[c_1554,c_241]) ).
cnf(c_1656,plain,
( cyclic(sK6,sK4,sK4,A)
| ~ cyclic(sK6,sK6,sK4,A) ),
inference(resolve,[status(thm)],[c_1554,c_239]) ).
cnf(c_1724,plain,
cyclic(sK6,sK4,sK4,sK6),
inference(resolve,[status(thm)],[c_1654,c_242]) ).
cnf(c_1770,plain,
( cyclic(sK4,sK4,sK6,A)
| ~ cyclic(sK6,sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_1724,c_239]) ).
cnf(c_1865,plain,
para(sK6,sK2,sK2,sK6),
inference(resolve,[status(thm)],[c_369,c_881]) ).
cnf(c_1920,plain,
para(sK4,sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_370,c_895]) ).
cnf(c_1939,plain,
para(sK6,sK2,sK6,sK2),
inference(resolve,[status(thm)],[c_1865,c_251]) ).
cnf(c_1944,plain,
( midp(sK2,A,sK6)
| ~ coll(sK2,A,sK6)
| ~ midp(sK6,A,sK2) ),
inference(resolve,[status(thm)],[c_1865,c_210]) ).
cnf(c_1996,plain,
para(sK4,sK2,sK4,sK2),
inference(resolve,[status(thm)],[c_1920,c_251]) ).
cnf(c_2001,plain,
( midp(sK2,A,sK4)
| ~ coll(sK2,A,sK4)
| ~ midp(sK4,A,sK2) ),
inference(resolve,[status(thm)],[c_1920,c_210]) ).
cnf(c_2021,plain,
( midp(A,sK2,sK2)
| ~ midp(A,sK6,sK6) ),
inference(resolve,[status(thm)],[c_1939,c_294]) ).
cnf(c_2024,plain,
eqangle(sK6,sK2,A,B,sK6,sK2,A,B),
inference(resolve,[status(thm)],[c_1939,c_216]) ).
cnf(c_2063,plain,
eqangle(sK4,sK2,A,B,sK4,sK2,A,B),
inference(resolve,[status(thm)],[c_1996,c_216]) ).
cnf(c_2488,plain,
coll(sK4,sK5,sK7),
inference(resolve,[status(thm)],[c_469,c_577]) ).
cnf(c_2502,plain,
coll(sK5,sK6,sK7),
inference(resolve,[status(thm)],[c_470,c_479]) ).
cnf(c_2508,plain,
coll(sK4,sK7,sK5),
inference(resolve,[status(thm)],[c_2488,c_254]) ).
cnf(c_2532,plain,
coll(sK5,sK7,sK6),
inference(resolve,[status(thm)],[c_2502,c_254]) ).
cnf(c_2589,plain,
coll(sK6,sK6,sK5),
inference(resolve,[status(thm)],[c_2532,c_308]) ).
cnf(c_2651,plain,
coll(sK6,sK5,sK4),
inference(resolve,[status(thm)],[c_490,c_2508]) ).
cnf(c_2702,plain,
coll(sK6,sK5,sK6),
inference(resolve,[status(thm)],[c_2589,c_254]) ).
cnf(c_2704,plain,
( coll(sK5,A,sK6)
| ~ coll(sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_2589,c_252]) ).
cnf(c_2739,plain,
midp(sK8(sK6,sK4,sK6,sK4,sK7,sK7,A),A,sK6),
inference(resolve,[status(thm)],[c_495,c_244]) ).
cnf(c_2742,plain,
( para(B,sK6,C,A)
| ~ midp(sK8(sK6,sK4,sK6,sK4,sK7,sK7,A),B,C) ),
inference(resolve,[status(thm)],[c_495,c_197]) ).
cnf(c_2850,plain,
coll(sK6,sK4,sK5),
inference(resolve,[status(thm)],[c_2651,c_254]) ).
cnf(c_2949,plain,
coll(sK5,sK6,sK6),
inference(resolve,[status(thm)],[c_2702,c_253]) ).
cnf(c_3044,plain,
coll(sK4,sK6,sK5),
inference(resolve,[status(thm)],[c_2850,c_253]) ).
cnf(c_3150,plain,
( coll(A,sK6,sK5)
| ~ coll(sK5,sK6,A) ),
inference(resolve,[status(thm)],[c_2949,c_252]) ).
cnf(c_3204,plain,
( coll(A,sK5,sK4)
| ~ coll(sK4,sK6,A) ),
inference(resolve,[status(thm)],[c_3044,c_252]) ).
cnf(c_3338,plain,
para(sK4,sK4,A,A),
inference(resolve,[status(thm)],[c_587,c_295]) ).
cnf(c_3379,plain,
para(A,A,sK4,sK4),
inference(resolve,[status(thm)],[c_3338,c_250]) ).
cnf(c_3396,plain,
eqangle(A,A,B,C,sK4,sK4,B,C),
inference(resolve,[status(thm)],[c_3379,c_216]) ).
cnf(c_33230,plain,
( cong(sK6,sK6,sK6,sK6)
| ~ cyclic(sK6,sK6,sK6,sK6) ),
inference(resolve,[status(thm)],[c_1225,c_316]) ).
cnf(c_10587,plain,
cong(sK6,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_1048,c_33230]) ).
cnf(c_33231,plain,
( ~ cong(sK6,sK6,sK6,sK6)
| midp(sK6,sK6,sK6)
| ~ coll(sK6,sK6,sK6) ),
inference(resolve,[status(thm)],[c_1225,c_270]) ).
cnf(c_33232,plain,
( ~ cong(sK6,sK6,sK6,sK6)
| midp(sK6,sK6,sK6) ),
inference(resolve,[status(thm)],[c_561,c_33231]) ).
cnf(c_10589,plain,
midp(sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_10587,c_33232]) ).
cnf(c_10604,plain,
cong(sK4,sK6,sK4,sK6),
inference(resolve,[status(thm)],[c_10589,c_1073]) ).
cnf(c_10617,plain,
midp(sK6,sK2,sK2),
inference(resolve,[status(thm)],[c_10589,c_2021]) ).
cnf(c_33233,plain,
( midp(sK4,sK6,sK6)
| ~ coll(sK4,sK6,sK6) ),
inference(resolve,[status(thm)],[c_10604,c_193]) ).
cnf(c_11135,plain,
midp(sK4,sK6,sK6),
inference(resolve,[status(thm)],[c_688,c_33233]) ).
cnf(c_11168,plain,
midp(sK4,sK2,sK2),
inference(resolve,[status(thm)],[c_11135,c_2021]) ).
cnf(c_11350,plain,
cong(sK4,sK2,sK4,sK2),
inference(resolve,[status(thm)],[c_11168,c_192]) ).
cnf(c_18087,plain,
( cyclic(sK6,A,sK4,sK4)
| ~ coll(sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_1464,c_213]) ).
cnf(c_19785,plain,
( para(sK2,sK3,sK4,sK2)
| ~ para(sK2,sK6,sK2,sK7) ),
inference(resolve,[status(thm)],[c_1600,c_188]) ).
cnf(c_33234,plain,
( midp(sK2,sK2,sK6)
| ~ coll(sK2,sK2,sK6) ),
inference(resolve,[status(thm)],[c_1944,c_10617]) ).
cnf(c_22628,plain,
midp(sK2,sK2,sK6),
inference(resolve,[status(thm)],[c_508,c_33234]) ).
cnf(c_22663,plain,
cong(sK2,sK2,sK2,sK6),
inference(resolve,[status(thm)],[c_22628,c_192]) ).
cnf(c_22706,plain,
cyclic(sK2,sK6,sK6,sK6),
inference(resolve,[status(thm)],[c_22663,c_317]) ).
cnf(c_22786,plain,
cyclic(sK6,sK2,sK6,sK6),
inference(resolve,[status(thm)],[c_22706,c_240]) ).
cnf(c_22913,plain,
cyclic(sK6,sK6,sK2,sK6),
inference(resolve,[status(thm)],[c_22786,c_241]) ).
cnf(c_23275,plain,
cyclic(sK6,sK6,sK6,sK2),
inference(resolve,[status(thm)],[c_22913,c_242]) ).
cnf(c_23709,plain,
cyclic(sK6,sK6,sK4,sK2),
inference(resolve,[status(thm)],[c_23275,c_1557]) ).
cnf(c_23710,plain,
cyclic(sK6,sK6,sK2,sK4),
inference(resolve,[status(thm)],[c_23275,c_1556]) ).
cnf(c_23975,plain,
cyclic(sK6,sK4,sK4,sK2),
inference(resolve,[status(thm)],[c_23709,c_1656]) ).
cnf(c_23984,plain,
cyclic(sK6,sK2,sK6,sK4),
inference(resolve,[status(thm)],[c_23710,c_241]) ).
cnf(c_24166,plain,
cyclic(sK4,sK4,sK6,sK2),
inference(resolve,[status(thm)],[c_23975,c_1770]) ).
cnf(c_24228,plain,
cyclic(sK2,sK6,sK6,sK4),
inference(resolve,[status(thm)],[c_23984,c_240]) ).
cnf(c_33235,plain,
( perp(sK6,sK4,sK4,sK2)
| ~ cong(sK4,sK2,sK4,sK2)
| ~ cong(sK4,sK6,sK4,sK6) ),
inference(resolve,[status(thm)],[c_24166,c_203]) ).
cnf(c_33236,plain,
( perp(sK6,sK4,sK4,sK2)
| ~ cong(sK4,sK2,sK4,sK2) ),
inference(resolve,[status(thm)],[c_10604,c_33235]) ).
cnf(c_24489,plain,
perp(sK6,sK4,sK4,sK2),
inference(resolve,[status(thm)],[c_11350,c_33236]) ).
cnf(c_24868,plain,
( cyclic(sK6,sK6,sK4,A)
| ~ cyclic(sK2,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_24228,c_239]) ).
cnf(c_33237,plain,
( midp(sK2,sK2,sK4)
| ~ coll(sK2,sK2,sK4) ),
inference(resolve,[status(thm)],[c_2001,c_11168]) ).
cnf(c_24872,plain,
midp(sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_516,c_33237]) ).
cnf(c_24902,plain,
midp(sK2,sK4,sK2),
inference(resolve,[status(thm)],[c_24872,c_244]) ).
cnf(c_24926,plain,
para(sK2,sK7,sK2,sK6),
inference(resolve,[status(thm)],[c_24902,c_359]) ).
cnf(c_25225,plain,
para(sK4,sK4,sK4,sK2),
inference(resolve,[status(thm)],[c_24489,c_1404]) ).
cnf(c_25561,plain,
para(sK2,sK6,sK2,sK7),
inference(resolve,[status(thm)],[c_24926,c_250]) ).
cnf(c_25569,plain,
para(sK2,sK3,sK4,sK2),
inference(resolve,[status(thm)],[c_25561,c_19785]) ).
cnf(c_25638,plain,
( cyclic(sK2,A,sK6,sK6)
| ~ coll(sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_2024,c_213]) ).
cnf(c_25651,plain,
para(sK4,sK2,sK4,sK4),
inference(resolve,[status(thm)],[c_25225,c_250]) ).
cnf(c_25974,plain,
( perp(sK2,sK3,A,B)
| ~ perp(sK4,sK2,A,B) ),
inference(resolve,[status(thm)],[c_25569,c_245]) ).
cnf(c_26081,plain,
( perp(sK4,sK2,A,B)
| ~ perp(sK4,sK4,A,B) ),
inference(resolve,[status(thm)],[c_25651,c_245]) ).
cnf(c_26542,plain,
( cyclic(sK2,A,sK4,sK4)
| ~ coll(sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_2063,c_213]) ).
cnf(c_29364,plain,
para(A,sK6,sK6,A),
inference(resolve,[status(thm)],[c_2742,c_2739]) ).
cnf(c_29365,plain,
para(A,sK6,A,sK6),
inference(resolve,[status(thm)],[c_29364,c_251]) ).
cnf(c_29372,plain,
coll(A,sK6,sK6),
inference(resolve,[status(thm)],[c_29365,c_194]) ).
cnf(c_29406,plain,
coll(sK6,sK6,A),
inference(resolve,[status(thm)],[c_29372,c_308]) ).
cnf(c_29417,plain,
cyclic(sK2,A,sK6,sK6),
inference(resolve,[status(thm)],[c_29406,c_25638]) ).
cnf(c_29488,plain,
coll(sK5,A,sK6),
inference(resolve,[status(thm)],[c_29406,c_2704]) ).
cnf(c_29492,plain,
coll(sK4,A,sK6),
inference(resolve,[status(thm)],[c_29406,c_586]) ).
cnf(c_33238,plain,
( coll(A,B,sK6)
| ~ coll(sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_29406,c_252]) ).
cnf(c_29627,plain,
coll(A,B,sK6),
inference(resolve,[status(thm)],[c_29406,c_33238]) ).
cnf(c_29631,plain,
coll(sK5,sK6,A),
inference(resolve,[status(thm)],[c_29488,c_254]) ).
cnf(c_29665,plain,
coll(A,sK6,sK5),
inference(resolve,[status(thm)],[c_29631,c_3150]) ).
cnf(c_29813,plain,
coll(sK4,sK6,A),
inference(resolve,[status(thm)],[c_29492,c_254]) ).
cnf(c_29856,plain,
coll(A,sK5,sK4),
inference(resolve,[status(thm)],[c_29813,c_3204]) ).
cnf(c_30399,plain,
coll(A,sK6,B),
inference(resolve,[status(thm)],[c_29627,c_254]) ).
cnf(c_33239,plain,
( coll(B,sK5,A)
| ~ coll(A,sK6,B) ),
inference(resolve,[status(thm)],[c_29665,c_252]) ).
cnf(c_30643,plain,
coll(A,sK5,B),
inference(resolve,[status(thm)],[c_30399,c_33239]) ).
cnf(c_33240,plain,
( coll(B,sK4,A)
| ~ coll(A,sK5,B) ),
inference(resolve,[status(thm)],[c_29856,c_252]) ).
cnf(c_30691,plain,
coll(A,sK4,B),
inference(resolve,[status(thm)],[c_30643,c_33240]) ).
cnf(c_30693,plain,
cyclic(sK2,A,sK4,sK4),
inference(resolve,[status(thm)],[c_30691,c_26542]) ).
cnf(c_30695,plain,
cyclic(sK6,A,sK4,sK4),
inference(resolve,[status(thm)],[c_30691,c_18087]) ).
cnf(c_30893,plain,
cyclic(sK2,sK6,A,sK6),
inference(resolve,[status(thm)],[c_29417,c_241]) ).
cnf(c_31062,plain,
cyclic(A,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_30693,c_303]) ).
cnf(c_31068,plain,
cyclic(sK6,sK4,A,sK4),
inference(resolve,[status(thm)],[c_30695,c_241]) ).
cnf(c_31297,plain,
cyclic(sK2,sK6,sK6,A),
inference(resolve,[status(thm)],[c_30893,c_242]) ).
cnf(c_31305,plain,
cyclic(sK6,sK6,sK4,A),
inference(resolve,[status(thm)],[c_31297,c_24868]) ).
cnf(c_31434,plain,
cyclic(sK4,A,sK4,sK4),
inference(resolve,[status(thm)],[c_31062,c_240]) ).
cnf(c_31443,plain,
( cyclic(sK4,A,sK4,B)
| ~ cyclic(sK6,sK4,A,B) ),
inference(resolve,[status(thm)],[c_31068,c_239]) ).
cnf(c_33241,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_3396,c_301]) ).
cnf(c_31476,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK4,A) ),
inference(resolve,[status(thm)],[c_31434,c_33241]) ).
cnf(c_33242,plain,
( cyclic(sK6,sK6,A,B)
| ~ cyclic(sK2,sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_31297,c_239]) ).
cnf(c_31559,plain,
cyclic(sK6,sK6,A,B),
inference(resolve,[status(thm)],[c_31297,c_33242]) ).
cnf(c_33243,plain,
( cyclic(sK6,sK4,A,B)
| ~ cyclic(sK6,sK6,sK4,A) ),
inference(resolve,[status(thm)],[c_31305,c_239]) ).
cnf(c_31588,plain,
cyclic(sK6,sK4,A,B),
inference(resolve,[status(thm)],[c_31559,c_33243]) ).
cnf(c_31591,plain,
cyclic(sK4,A,sK4,B),
inference(resolve,[status(thm)],[c_31588,c_31443]) ).
cnf(c_31593,plain,
cong(sK4,A,sK4,A),
inference(resolve,[status(thm)],[c_31591,c_31476]) ).
cnf(c_33244,plain,
( perp(sK4,sK4,A,B)
| ~ cong(sK4,A,sK4,A) ),
inference(resolve,[status(thm)],[c_31593,c_204]) ).
cnf(c_32026,plain,
perp(sK4,sK4,A,B),
inference(resolve,[status(thm)],[c_31593,c_33244]) ).
cnf(c_32030,plain,
perp(sK4,sK2,A,B),
inference(resolve,[status(thm)],[c_32026,c_26081]) ).
cnf(c_32089,plain,
perp(sK2,sK3,A,B),
inference(resolve,[status(thm)],[c_32030,c_25974]) ).
cnf(c_33226,plain,
perp(A,B,sK2,sK3),
inference(resolve,[status(thm)],[c_32089,c_247]) ).
cnf(c_33227,plain,
$false,
inference(resolve,[status(thm)],[c_33226,c_147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO633+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n020.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Fri Sep 25 13:46:33 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.43 % Process 3060341 was started by sandbox2 on n020,
% 0.18/0.43 % Fri Sep 25 13:46:33 2026
% 0.18/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.18/0.47
% 0.18/0.47 % From the command line: assign(max_seconds, 300).
% 63.77/8.83
% 63.77/8.83 % given #500 (T,wt=4): 2207 coll(c8,c3,c5). [resolve(2164,a,254,a)].
% 63.77/8.83
% 63.77/8.83 % given #1000 (T,wt=8): 710 -coll(c1,c2,A) | coll(c2,A,c1). [resolve(612,a,252,a)].
% 63.77/8.83
% 63.77/8.83 % given #1500 (T,wt=8): 2566 -coll(c6,c4,A) | coll(c5,A,c6). [resolve(2522,a,252,a)].
% 63.77/8.83
% 63.77/8.83 % given #2000 (T,wt=8): 3217 -coll(c2,c6,A) | coll(c5,A,c2). [resolve(3059,a,252,a)].
% 63.77/8.83
% 63.77/8.83 % given #2500 (T,wt=8): 6119 coll(c2,f11(c3,c2,c3,c3),c3). [resolve(3680,a,494,a)].
% 63.77/8.83
% 63.77/8.83 % given #3000 (T,wt=8): 6854 coll(c1,c2,f4(c3,c2,c4,c4)). [resolve(5538,a,254,a)].
% 63.77/8.83
% 63.77/8.83 % given #3500 (T,wt=7): 15142 coll(f19(c2,c3,c3),c3,c3). [resolve(14761,a,591,a)].
% 63.77/8.83
% 63.77/8.83 % given #4000 (T,wt=7): 15947 coll(c7,c7,f19(c2,c3,c3)). [resolve(15065,a,308,a)].
% 63.77/8.83
% 63.77/8.83 % given #4500 (T,wt=7): 16805 coll(f19(c2,c3,c2),c7,c1). [resolve(15311,a,514,a)].
% 63.77/8.83
% 63.77/8.83 % given #5000 (T,wt=7): 18441 coll(c8,c1,f19(c2,c2,c2)). [resolve(15649,a,254,a)].
% 63.77/8.83
% 63.77/8.83 % given #5500 (T,wt=5): 24147 para(c3,c1,c8,c6). [resolve(23966,a,868,a)].
% 63.77/8.83
% 63.77/8.83 % given #6000 (T,wt=7): 27305 coll(f19(c1,c2,c2),c1,c8). [resolve(26778,a,254,a)].
% 63.77/8.83
% 63.77/8.83 % given #6500 (T,wt=7): 28407 coll(f19(c2,c1,c2),c8,c3). [resolve(28012,a,254,a)].
% 63.77/8.83
% 63.77/8.83 % given #7000 (T,wt=4): 30867 coll(A,B,B). [resolve(30394,a,252,b),unit_del(a,30399)].
% 63.77/8.83
% 63.77/8.83 % SZS status Theorem for theBenchmark
% 63.77/8.83
% 63.77/8.83 % Proof 1 at 6.90 (+ 1.39) seconds.
% 63.77/8.83 % Length of proof is 260.
% 63.77/8.83 % Level of proof is 28.
% 63.77/8.83 % Maximum clause weight is 29.000.
% 63.77/8.83 % Given clauses 7446.
% 63.77/8.83
% 63.77/8.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------