%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO556+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 : n014.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 07:18:06 AM UTC 2026
% Result : Theorem 73.08s 10.72s
% Output : CNFRefutation 73.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 30
% Syntax : Number of formulae : 254 ( 128 unt; 0 def)
% Number of atoms : 508 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 401 ( 147 ~; 143 |; 80 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 507 ( 66 sgn 156 !; 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(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(exemplo6GDDFULL012016,conjecture,
! [A,B,O,M,P,Q,D,C,T,K,S] :
( ( coll(S,P,K)
& coll(S,Q,T)
& coll(K,B,O)
& perp(K,P,B,O)
& coll(T,A,O)
& perp(T,Q,A,O)
& coll(C,B,O)
& perp(C,A,B,O)
& coll(D,A,O)
& perp(D,B,A,O)
& coll(Q,B,O)
& perp(Q,M,B,O)
& coll(P,A,O)
& perp(P,M,A,O)
& coll(M,A,B) )
=> perp(O,S,P,Q) ),
file('theBenchmark.p',exemplo6GDDFULL012016) ).
fof(exemplo6GDDFULL012016_neg,negated_conjecture,
~ ! [A,B,O,M,P,Q,D,C,T,K,S] :
( ( coll(S,P,K)
& coll(S,Q,T)
& coll(K,B,O)
& perp(K,P,B,O)
& coll(T,A,O)
& perp(T,Q,A,O)
& coll(C,B,O)
& perp(C,A,B,O)
& coll(D,A,O)
& perp(D,B,A,O)
& coll(Q,B,O)
& perp(Q,M,B,O)
& coll(P,A,O)
& perp(P,M,A,O)
& coll(M,A,B) )
=> perp(O,S,P,Q) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012016]) ).
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_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,O,M,P,Q,D,C,T,K,S] :
( ~ perp(O,S,P,Q)
& coll(S,P,K)
& coll(S,Q,T)
& coll(K,B,O)
& perp(K,P,B,O)
& coll(T,A,O)
& perp(T,Q,A,O)
& coll(C,B,O)
& perp(C,A,B,O)
& coll(D,A,O)
& perp(D,B,A,O)
& coll(Q,B,O)
& perp(Q,M,B,O)
& coll(P,A,O)
& perp(P,M,A,O)
& coll(M,A,B) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL012016_neg]) ).
fof(sk_exemplo6GDDFULL012016_neg,plain,
( ~ perp(sK0,sK1,sK2,sK3)
& coll(sK1,sK2,sK4)
& coll(sK1,sK3,sK10)
& coll(sK4,sK5,sK0)
& perp(sK4,sK2,sK5,sK0)
& coll(sK10,sK7,sK0)
& perp(sK10,sK3,sK7,sK0)
& coll(sK6,sK5,sK0)
& perp(sK6,sK7,sK5,sK0)
& coll(sK9,sK7,sK0)
& perp(sK9,sK5,sK7,sK0)
& coll(sK3,sK5,sK0)
& perp(sK3,sK8,sK5,sK0)
& coll(sK2,sK7,sK0)
& perp(sK2,sK8,sK7,sK0)
& coll(sK8,sK7,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK7,sK5,sK2,sK0,sK3,sK9,sK6,sK10,sK4,sK1]),skolemize(A,sK7),skolemize(B,sK5),skolemize(O,sK0),skolemize(M,sK8),skolemize(P,sK2),skolemize(Q,sK3),skolemize(D,sK9),skolemize(C,sK6),skolemize(T,sK10),skolemize(K,sK4),skolemize(S,sK1)],[nnf_95]) ).
cnf(c_147,negated_conjecture,
~ perp(sK0,sK1,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012016_neg]) ).
cnf(c_151,negated_conjecture,
perp(sK4,sK2,sK5,sK0),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012016_neg]) ).
cnf(c_155,negated_conjecture,
perp(sK6,sK7,sK5,sK0),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012016_neg]) ).
cnf(c_159,negated_conjecture,
perp(sK3,sK8,sK5,sK0),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012016_neg]) ).
cnf(c_161,negated_conjecture,
perp(sK2,sK8,sK7,sK0),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012016_neg]) ).
cnf(c_162,negated_conjecture,
coll(sK8,sK7,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012016_neg]) ).
cnf(c_193,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_201,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_202,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_203,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_210,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_211,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_212,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_214,plain,
( cong(A,D,B,D)
| ~ midp(D,A,C)
| ~ perp(A,B,B,C) ),
inference(clausify,[status(thm)],[ruleD52]) ).
cnf(c_217,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_219,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_220,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_223,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_224,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_240,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_244,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_246,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_247,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_248,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_249,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_253,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_254,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_255,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_257,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_258,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_259,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_260,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_261,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_277,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_301,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_203]) ).
cnf(c_304,plain,
( perp(B,A,A,B)
| ~ cyclic(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_210]) ).
cnf(c_308,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_219]) ).
cnf(c_310,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_246]) ).
cnf(c_315,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_259]) ).
cnf(c_391,plain,
( para(sK2,sK8,A,B)
| ~ perp(sK7,sK0,A,B) ),
inference(resolve,[status(thm)],[c_253,c_161]) ).
cnf(c_392,plain,
( para(sK3,sK8,A,B)
| ~ perp(sK5,sK0,A,B) ),
inference(resolve,[status(thm)],[c_253,c_159]) ).
cnf(c_394,plain,
( para(sK6,sK7,A,B)
| ~ perp(sK5,sK0,A,B) ),
inference(resolve,[status(thm)],[c_253,c_155]) ).
cnf(c_396,plain,
( para(sK4,sK2,A,B)
| ~ perp(sK5,sK0,A,B) ),
inference(resolve,[status(thm)],[c_253,c_151]) ).
cnf(c_397,plain,
( para(A,B,sK7,sK0)
| ~ perp(A,B,sK2,sK8) ),
inference(resolve,[status(thm)],[c_253,c_161]) ).
cnf(c_398,plain,
( para(A,B,sK5,sK0)
| ~ perp(A,B,sK3,sK8) ),
inference(resolve,[status(thm)],[c_253,c_159]) ).
cnf(c_403,plain,
perp(sK7,sK0,sK2,sK8),
inference(resolve,[status(thm)],[c_254,c_161]) ).
cnf(c_404,plain,
perp(sK5,sK0,sK3,sK8),
inference(resolve,[status(thm)],[c_254,c_159]) ).
cnf(c_406,plain,
perp(sK5,sK0,sK6,sK7),
inference(resolve,[status(thm)],[c_254,c_155]) ).
cnf(c_408,plain,
perp(sK5,sK0,sK4,sK2),
inference(resolve,[status(thm)],[c_254,c_151]) ).
cnf(c_409,plain,
perp(sK2,sK8,sK0,sK7),
inference(resolve,[status(thm)],[c_255,c_161]) ).
cnf(c_410,plain,
perp(sK3,sK8,sK0,sK5),
inference(resolve,[status(thm)],[c_255,c_159]) ).
cnf(c_451,plain,
coll(sK5,sK5,sK8),
inference(resolve,[status(thm)],[c_315,c_162]) ).
cnf(c_528,plain,
coll(sK8,sK8,sK5),
inference(resolve,[status(thm)],[c_451,c_315]) ).
cnf(c_665,plain,
coll(sK8,sK5,sK8),
inference(resolve,[status(thm)],[c_528,c_261]) ).
cnf(c_828,plain,
coll(sK8,sK8,sK8),
inference(resolve,[status(thm)],[c_665,c_315]) ).
cnf(c_1004,plain,
perp(sK7,sK0,sK8,sK2),
inference(resolve,[status(thm)],[c_403,c_255]) ).
cnf(c_1018,plain,
perp(sK5,sK0,sK8,sK3),
inference(resolve,[status(thm)],[c_404,c_255]) ).
cnf(c_1046,plain,
perp(sK5,sK0,sK7,sK6),
inference(resolve,[status(thm)],[c_406,c_255]) ).
cnf(c_1074,plain,
perp(sK5,sK0,sK2,sK4),
inference(resolve,[status(thm)],[c_408,c_255]) ).
cnf(c_1088,plain,
perp(sK0,sK7,sK2,sK8),
inference(resolve,[status(thm)],[c_409,c_254]) ).
cnf(c_1102,plain,
perp(sK0,sK5,sK3,sK8),
inference(resolve,[status(thm)],[c_410,c_254]) ).
cnf(c_1582,plain,
para(sK2,sK8,sK8,sK2),
inference(resolve,[status(thm)],[c_391,c_1004]) ).
cnf(c_1585,plain,
para(sK2,sK8,sK2,sK8),
inference(resolve,[status(thm)],[c_391,c_403]) ).
cnf(c_1624,plain,
para(sK8,sK2,sK2,sK8),
inference(resolve,[status(thm)],[c_1582,c_257]) ).
cnf(c_1629,plain,
( eqratio(A,sK2,sK2,sK8,A,sK8,sK8,sK2)
| ~ coll(A,sK8,sK2)
| ~ coll(A,sK2,sK8) ),
inference(resolve,[status(thm)],[c_1582,c_202]) ).
cnf(c_1655,plain,
para(sK3,sK8,sK8,sK3),
inference(resolve,[status(thm)],[c_392,c_1018]) ).
cnf(c_1679,plain,
eqangle(sK2,sK8,A,B,sK2,sK8,A,B),
inference(resolve,[status(thm)],[c_1585,c_223]) ).
cnf(c_1682,plain,
coll(sK2,sK8,sK8),
inference(resolve,[status(thm)],[c_1585,c_201]) ).
cnf(c_1689,plain,
coll(sK8,sK8,sK2),
inference(resolve,[status(thm)],[c_1682,c_315]) ).
cnf(c_1697,plain,
coll(sK2,sK2,sK8),
inference(resolve,[status(thm)],[c_1689,c_315]) ).
cnf(c_1707,plain,
coll(sK2,sK8,sK2),
inference(resolve,[status(thm)],[c_1697,c_261]) ).
cnf(c_1716,plain,
para(sK6,sK7,sK7,sK6),
inference(resolve,[status(thm)],[c_394,c_1046]) ).
cnf(c_1759,plain,
para(sK8,sK2,sK8,sK2),
inference(resolve,[status(thm)],[c_1624,c_258]) ).
cnf(c_1830,plain,
para(sK8,sK3,sK3,sK8),
inference(resolve,[status(thm)],[c_1655,c_257]) ).
cnf(c_1859,plain,
para(sK4,sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_396,c_1074]) ).
cnf(c_1862,plain,
para(sK4,sK2,sK4,sK2),
inference(resolve,[status(thm)],[c_396,c_408]) ).
cnf(c_1904,plain,
para(sK0,sK7,sK7,sK0),
inference(resolve,[status(thm)],[c_397,c_1088]) ).
cnf(c_1905,plain,
para(sK7,sK0,sK7,sK0),
inference(resolve,[status(thm)],[c_397,c_403]) ).
cnf(c_1916,plain,
para(sK0,sK5,sK5,sK0),
inference(resolve,[status(thm)],[c_398,c_1102]) ).
cnf(c_2055,plain,
para(sK7,sK6,sK6,sK7),
inference(resolve,[status(thm)],[c_1716,c_257]) ).
cnf(c_2184,plain,
( midp(A,sK2,sK2)
| ~ midp(A,sK8,sK8) ),
inference(resolve,[status(thm)],[c_1759,c_301]) ).
cnf(c_2187,plain,
eqangle(sK8,sK2,A,B,sK8,sK2,A,B),
inference(resolve,[status(thm)],[c_1759,c_223]) ).
cnf(c_2312,plain,
para(sK8,sK3,sK8,sK3),
inference(resolve,[status(thm)],[c_1830,c_258]) ).
cnf(c_2344,plain,
para(sK2,sK4,sK4,sK2),
inference(resolve,[status(thm)],[c_1859,c_257]) ).
cnf(c_2393,plain,
eqangle(sK4,sK2,A,B,sK4,sK2,A,B),
inference(resolve,[status(thm)],[c_1862,c_223]) ).
cnf(c_2422,plain,
para(sK0,sK7,sK0,sK7),
inference(resolve,[status(thm)],[c_1904,c_258]) ).
cnf(c_2438,plain,
eqangle(sK7,sK0,A,B,sK7,sK0,A,B),
inference(resolve,[status(thm)],[c_1905,c_223]) ).
cnf(c_2451,plain,
para(sK0,sK5,sK0,sK5),
inference(resolve,[status(thm)],[c_1916,c_258]) ).
cnf(c_2546,plain,
para(sK7,sK6,sK7,sK6),
inference(resolve,[status(thm)],[c_2055,c_258]) ).
cnf(c_2692,plain,
eqangle(sK8,sK3,A,B,sK8,sK3,A,B),
inference(resolve,[status(thm)],[c_2312,c_223]) ).
cnf(c_2705,plain,
para(sK2,sK4,sK2,sK4),
inference(resolve,[status(thm)],[c_2344,c_258]) ).
cnf(c_2753,plain,
eqangle(sK0,sK7,A,B,sK0,sK7,A,B),
inference(resolve,[status(thm)],[c_2422,c_223]) ).
cnf(c_2780,plain,
eqangle(sK0,sK5,A,B,sK0,sK5,A,B),
inference(resolve,[status(thm)],[c_2451,c_223]) ).
cnf(c_2851,plain,
eqangle(sK7,sK6,A,B,sK7,sK6,A,B),
inference(resolve,[status(thm)],[c_2546,c_223]) ).
cnf(c_2920,plain,
( midp(A,sK4,sK4)
| ~ midp(A,sK2,sK2) ),
inference(resolve,[status(thm)],[c_2705,c_301]) ).
cnf(c_2923,plain,
eqangle(sK2,sK4,A,B,sK2,sK4,A,B),
inference(resolve,[status(thm)],[c_2705,c_223]) ).
cnf(c_22219,plain,
( eqratio(sK2,sK2,sK2,sK8,sK2,sK8,sK8,sK2)
| ~ coll(sK2,sK8,sK2) ),
inference(resolve,[status(thm)],[c_1629,c_1697]) ).
cnf(c_6548,plain,
eqratio(sK2,sK2,sK2,sK8,sK2,sK8,sK8,sK2),
inference(resolve,[status(thm)],[c_1707,c_22219]) ).
cnf(c_22220,plain,
( ~ cong(sK2,sK2,sK2,sK8)
| midp(sK8,sK8,sK8)
| ~ coll(sK8,sK8,sK8) ),
inference(resolve,[status(thm)],[c_1679,c_277]) ).
cnf(c_6737,plain,
( ~ cong(sK2,sK2,sK2,sK8)
| midp(sK8,sK8,sK8) ),
inference(resolve,[status(thm)],[c_828,c_22220]) ).
cnf(c_6738,plain,
eqangle(A,B,sK2,sK8,A,B,sK2,sK8),
inference(resolve,[status(thm)],[c_1679,c_244]) ).
cnf(c_6740,plain,
( cyclic(sK8,A,sK2,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_1679,c_220]) ).
cnf(c_6741,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK2,sK2)
| ~ cyclic(sK8,A,sK2,A)
| ~ cyclic(sK8,A,sK2,sK8) ),
inference(resolve,[status(thm)],[c_1679,c_219]) ).
cnf(c_6947,plain,
( cyclic(sK2,A,sK8,sK8)
| ~ coll(sK8,sK8,A) ),
inference(resolve,[status(thm)],[c_2187,c_220]) ).
cnf(c_6955,plain,
( ~ cong(sK8,sK8,sK8,A)
| ~ cong(sK8,sK8,sK8,sK2)
| midp(A,sK2,A)
| ~ coll(A,sK2,A) ),
inference(resolve,[status(thm)],[c_2187,c_143]) ).
cnf(c_7028,plain,
( cyclic(sK2,A,sK4,sK4)
| ~ coll(sK4,sK4,A) ),
inference(resolve,[status(thm)],[c_2393,c_220]) ).
cnf(c_7029,plain,
( cong(sK2,A,sK2,A)
| ~ cyclic(sK2,A,sK4,sK4)
| ~ cyclic(sK2,A,sK4,A)
| ~ cyclic(sK2,A,sK4,sK2) ),
inference(resolve,[status(thm)],[c_2393,c_219]) ).
cnf(c_7053,plain,
( cyclic(sK0,A,sK7,sK7)
| ~ coll(sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_2438,c_220]) ).
cnf(c_7054,plain,
( cong(sK0,A,sK0,A)
| ~ cyclic(sK0,A,sK7,sK7)
| ~ cyclic(sK0,A,sK7,A)
| ~ cyclic(sK0,A,sK7,sK0) ),
inference(resolve,[status(thm)],[c_2438,c_219]) ).
cnf(c_7175,plain,
( cyclic(sK3,A,sK8,sK8)
| ~ coll(sK8,sK8,A) ),
inference(resolve,[status(thm)],[c_2692,c_220]) ).
cnf(c_7209,plain,
( cyclic(sK7,A,sK0,sK0)
| ~ coll(sK0,sK0,A) ),
inference(resolve,[status(thm)],[c_2753,c_220]) ).
cnf(c_7252,plain,
( cyclic(sK5,A,sK0,sK0)
| ~ coll(sK0,sK0,A) ),
inference(resolve,[status(thm)],[c_2780,c_220]) ).
cnf(c_7317,plain,
( cyclic(sK6,A,sK7,sK7)
| ~ coll(sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_2851,c_220]) ).
cnf(c_7357,plain,
( cyclic(sK4,A,sK2,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_2923,c_220]) ).
cnf(c_7643,plain,
( cong(sK2,sK2,sK2,sK8)
| ~ cong(sK2,sK8,sK8,sK2) ),
inference(resolve,[status(thm)],[c_6548,c_193]) ).
cnf(c_7885,plain,
( cong(sK2,sK8,sK2,sK8)
| ~ cyclic(sK2,sK8,sK2,sK8)
| ~ cyclic(sK2,sK8,sK2,sK2) ),
inference(resolve,[status(thm)],[c_6738,c_308]) ).
cnf(c_7888,plain,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_6738,c_224]) ).
cnf(c_22221,plain,
( cyclic(A,sK8,sK2,sK2)
| ~ coll(sK2,sK2,sK8) ),
inference(resolve,[status(thm)],[c_6738,c_220]) ).
cnf(c_7890,plain,
cyclic(A,sK8,sK2,sK2),
inference(resolve,[status(thm)],[c_1697,c_22221]) ).
cnf(c_7896,plain,
( ~ cong(sK2,sK2,sK2,sK8)
| ~ cong(sK2,sK2,sK2,A)
| midp(sK8,A,sK8)
| ~ coll(sK8,A,sK8) ),
inference(resolve,[status(thm)],[c_6738,c_143]) ).
cnf(c_7901,plain,
( cong(sK2,sK8,sK2,sK8)
| ~ cyclic(sK2,sK8,sK2,sK8) ),
inference(resolve,[status(thm)],[c_7890,c_7885]) ).
cnf(c_7903,plain,
( midp(A,C,C)
| ~ midp(A,B,B) ),
inference(resolve,[status(thm)],[c_7888,c_301]) ).
cnf(c_7911,plain,
( midp(C,B,C)
| ~ coll(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_7888,c_217]) ).
cnf(c_7913,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_7888,c_201]) ).
cnf(c_7983,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_7913,c_315]) ).
cnf(c_7984,plain,
coll(A,B,A),
inference(resolve,[status(thm)],[c_7913,c_260]) ).
cnf(c_7991,plain,
cyclic(sK4,A,sK2,sK2),
inference(resolve,[status(thm)],[c_7983,c_7357]) ).
cnf(c_7993,plain,
cyclic(sK6,A,sK7,sK7),
inference(resolve,[status(thm)],[c_7983,c_7317]) ).
cnf(c_7995,plain,
cyclic(sK5,A,sK0,sK0),
inference(resolve,[status(thm)],[c_7983,c_7252]) ).
cnf(c_7996,plain,
cyclic(sK7,A,sK0,sK0),
inference(resolve,[status(thm)],[c_7983,c_7209]) ).
cnf(c_7997,plain,
cyclic(sK3,A,sK8,sK8),
inference(resolve,[status(thm)],[c_7983,c_7175]) ).
cnf(c_7999,plain,
cyclic(sK0,A,sK7,sK7),
inference(resolve,[status(thm)],[c_7983,c_7053]) ).
cnf(c_8000,plain,
cyclic(sK2,A,sK4,sK4),
inference(resolve,[status(thm)],[c_7983,c_7028]) ).
cnf(c_8002,plain,
cyclic(sK2,A,sK8,sK8),
inference(resolve,[status(thm)],[c_7983,c_6947]) ).
cnf(c_8006,plain,
cyclic(sK8,A,sK2,sK2),
inference(resolve,[status(thm)],[c_7983,c_6740]) ).
cnf(c_8228,plain,
( midp(C,B,C)
| ~ midp(A,B,A) ),
inference(resolve,[status(thm)],[c_7984,c_7911]) ).
cnf(c_8229,plain,
( ~ cong(sK2,sK2,sK2,sK8)
| ~ cong(sK2,sK2,sK2,A)
| midp(sK8,A,sK8) ),
inference(resolve,[status(thm)],[c_7984,c_7896]) ).
cnf(c_8241,plain,
( ~ cong(sK8,sK8,sK8,A)
| ~ cong(sK8,sK8,sK8,sK2)
| midp(A,sK2,A) ),
inference(resolve,[status(thm)],[c_7984,c_6955]) ).
cnf(c_8286,plain,
( cong(sK0,A,sK0,A)
| ~ cyclic(sK0,A,sK7,A)
| ~ cyclic(sK0,A,sK7,sK0) ),
inference(resolve,[status(thm)],[c_7999,c_7054]) ).
cnf(c_8289,plain,
( cong(sK2,A,sK2,A)
| ~ cyclic(sK2,A,sK4,A)
| ~ cyclic(sK2,A,sK4,sK2) ),
inference(resolve,[status(thm)],[c_8000,c_7029]) ).
cnf(c_8307,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK2,A)
| ~ cyclic(sK8,A,sK2,sK8) ),
inference(resolve,[status(thm)],[c_8006,c_6741]) ).
cnf(c_8690,plain,
cyclic(sK4,sK2,A,sK2),
inference(resolve,[status(thm)],[c_7991,c_248]) ).
cnf(c_8724,plain,
cyclic(sK6,sK7,A,sK7),
inference(resolve,[status(thm)],[c_7993,c_248]) ).
cnf(c_8758,plain,
cyclic(sK5,sK0,A,sK0),
inference(resolve,[status(thm)],[c_7995,c_248]) ).
cnf(c_8774,plain,
cyclic(sK7,sK0,A,sK0),
inference(resolve,[status(thm)],[c_7996,c_248]) ).
cnf(c_8791,plain,
cyclic(sK3,sK8,A,sK8),
inference(resolve,[status(thm)],[c_7997,c_248]) ).
cnf(c_8823,plain,
cyclic(sK0,sK7,A,sK7),
inference(resolve,[status(thm)],[c_7999,c_248]) ).
cnf(c_8873,plain,
cyclic(sK2,sK8,A,sK8),
inference(resolve,[status(thm)],[c_8002,c_248]) ).
cnf(c_8888,plain,
cong(sK2,sK8,sK2,sK8),
inference(resolve,[status(thm)],[c_8873,c_7901]) ).
cnf(c_8940,plain,
cyclic(sK8,sK2,A,sK2),
inference(resolve,[status(thm)],[c_8006,c_248]) ).
cnf(c_9035,plain,
cyclic(sK4,sK2,sK2,A),
inference(resolve,[status(thm)],[c_8690,c_249]) ).
cnf(c_9036,plain,
cyclic(sK2,sK4,A,sK2),
inference(resolve,[status(thm)],[c_8690,c_247]) ).
cnf(c_9128,plain,
cyclic(sK6,sK7,sK7,A),
inference(resolve,[status(thm)],[c_8724,c_249]) ).
cnf(c_9222,plain,
cyclic(sK5,sK0,sK0,A),
inference(resolve,[status(thm)],[c_8758,c_249]) ).
cnf(c_9255,plain,
cyclic(sK0,sK7,A,sK0),
inference(resolve,[status(thm)],[c_8774,c_247]) ).
cnf(c_9300,plain,
cyclic(sK3,sK8,sK8,A),
inference(resolve,[status(thm)],[c_8791,c_249]) ).
cnf(c_9362,plain,
cyclic(sK7,sK0,A,sK7),
inference(resolve,[status(thm)],[c_8823,c_247]) ).
cnf(c_9481,plain,
cyclic(sK8,sK2,A,sK8),
inference(resolve,[status(thm)],[c_8873,c_247]) ).
cnf(c_9543,plain,
cong(sK2,sK8,sK8,sK2),
inference(resolve,[status(thm)],[c_8888,c_240]) ).
cnf(c_9559,plain,
cong(sK2,sK2,sK2,sK8),
inference(resolve,[status(thm)],[c_9543,c_7643]) ).
cnf(c_9561,plain,
( ~ cong(sK2,sK2,sK2,A)
| midp(sK8,A,sK8) ),
inference(resolve,[status(thm)],[c_9559,c_8229]) ).
cnf(c_9562,plain,
midp(sK8,sK8,sK8),
inference(resolve,[status(thm)],[c_9559,c_6737]) ).
cnf(c_9564,plain,
midp(sK8,sK2,sK2),
inference(resolve,[status(thm)],[c_9562,c_2184]) ).
cnf(c_9595,plain,
midp(sK8,sK4,sK4),
inference(resolve,[status(thm)],[c_9564,c_2920]) ).
cnf(c_9763,plain,
cyclic(sK2,sK8,A,sK2),
inference(resolve,[status(thm)],[c_8940,c_247]) ).
cnf(c_9885,plain,
cyclic(sK2,sK2,A,A),
inference(resolve,[status(thm)],[c_9035,c_310]) ).
cnf(c_22222,plain,
( cyclic(sK2,sK2,A,B)
| ~ cyclic(sK4,sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_9035,c_246]) ).
cnf(c_9887,plain,
cyclic(sK2,sK2,A,B),
inference(resolve,[status(thm)],[c_9035,c_22222]) ).
cnf(c_9901,plain,
cyclic(sK2,A,sK4,sK2),
inference(resolve,[status(thm)],[c_9036,c_248]) ).
cnf(c_9917,plain,
( cong(sK2,A,sK2,A)
| ~ cyclic(sK2,A,sK4,A) ),
inference(resolve,[status(thm)],[c_9901,c_8289]) ).
cnf(c_22223,plain,
( cyclic(sK7,sK7,A,B)
| ~ cyclic(sK6,sK7,sK7,A) ),
inference(resolve,[status(thm)],[c_9128,c_246]) ).
cnf(c_10238,plain,
cyclic(sK7,sK7,A,B),
inference(resolve,[status(thm)],[c_9128,c_22223]) ).
cnf(c_10630,plain,
cyclic(sK0,sK0,A,A),
inference(resolve,[status(thm)],[c_9222,c_310]) ).
cnf(c_10823,plain,
cyclic(sK0,A,sK7,sK0),
inference(resolve,[status(thm)],[c_9255,c_248]) ).
cnf(c_10839,plain,
( cong(sK0,A,sK0,A)
| ~ cyclic(sK0,A,sK7,A) ),
inference(resolve,[status(thm)],[c_10823,c_8286]) ).
cnf(c_10957,plain,
cyclic(sK8,sK8,A,A),
inference(resolve,[status(thm)],[c_9300,c_310]) ).
cnf(c_11197,plain,
( cyclic(sK0,A,sK7,B)
| ~ cyclic(sK7,sK0,A,B) ),
inference(resolve,[status(thm)],[c_9362,c_246]) ).
cnf(c_11445,plain,
cyclic(sK8,A,sK2,sK8),
inference(resolve,[status(thm)],[c_9481,c_248]) ).
cnf(c_11461,plain,
( cong(sK8,A,sK8,A)
| ~ cyclic(sK8,A,sK2,A) ),
inference(resolve,[status(thm)],[c_11445,c_8307]) ).
cnf(c_11906,plain,
( cyclic(sK8,A,sK2,B)
| ~ cyclic(sK2,sK8,A,B) ),
inference(resolve,[status(thm)],[c_9763,c_246]) ).
cnf(c_11960,plain,
( perp(A,sK2,sK2,A)
| ~ cong(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_9885,c_304]) ).
cnf(c_22224,plain,
( cyclic(sK2,A,B,A)
| ~ cyclic(sK2,sK2,A,B) ),
inference(resolve,[status(thm)],[c_9885,c_246]) ).
cnf(c_11961,plain,
cyclic(sK2,A,B,A),
inference(resolve,[status(thm)],[c_9887,c_22224]) ).
cnf(c_11974,plain,
cong(sK2,A,sK2,A),
inference(resolve,[status(thm)],[c_11961,c_9917]) ).
cnf(c_11975,plain,
perp(A,sK2,sK2,A),
inference(resolve,[status(thm)],[c_11974,c_11960]) ).
cnf(c_22225,plain,
( cyclic(sK2,A,B,C)
| ~ cyclic(sK2,sK2,A,B) ),
inference(resolve,[status(thm)],[c_9887,c_246]) ).
cnf(c_12038,plain,
cyclic(sK2,A,B,C),
inference(resolve,[status(thm)],[c_9887,c_22225]) ).
cnf(c_12050,plain,
cyclic(sK8,A,sK2,B),
inference(resolve,[status(thm)],[c_12038,c_11906]) ).
cnf(c_12108,plain,
cong(sK8,A,sK8,A),
inference(resolve,[status(thm)],[c_12050,c_11461]) ).
cnf(c_22226,plain,
( cyclic(sK7,A,B,C)
| ~ cyclic(sK7,sK7,A,B) ),
inference(resolve,[status(thm)],[c_10238,c_246]) ).
cnf(c_12516,plain,
cyclic(sK7,A,B,C),
inference(resolve,[status(thm)],[c_10238,c_22226]) ).
cnf(c_12528,plain,
cyclic(sK0,A,sK7,B),
inference(resolve,[status(thm)],[c_12516,c_11197]) ).
cnf(c_12583,plain,
cong(sK0,A,sK0,A),
inference(resolve,[status(thm)],[c_12528,c_10839]) ).
cnf(c_22227,plain,
( perp(A,sK0,sK0,A)
| ~ cong(sK0,A,sK0,A) ),
inference(resolve,[status(thm)],[c_10630,c_304]) ).
cnf(c_12883,plain,
perp(A,sK0,sK0,A),
inference(resolve,[status(thm)],[c_12583,c_22227]) ).
cnf(c_22228,plain,
( perp(A,sK8,sK8,A)
| ~ cong(sK8,A,sK8,A) ),
inference(resolve,[status(thm)],[c_10957,c_304]) ).
cnf(c_13079,plain,
perp(A,sK8,sK8,A),
inference(resolve,[status(thm)],[c_12108,c_22228]) ).
cnf(c_14110,plain,
perp(sK2,A,A,sK2),
inference(resolve,[status(thm)],[c_11975,c_254]) ).
cnf(c_15850,plain,
perp(sK0,A,A,sK0),
inference(resolve,[status(thm)],[c_12883,c_254]) ).
cnf(c_15958,plain,
perp(sK8,A,A,sK8),
inference(resolve,[status(thm)],[c_13079,c_254]) ).
cnf(c_16411,plain,
perp(sK2,A,sK2,A),
inference(resolve,[status(thm)],[c_14110,c_255]) ).
cnf(c_16994,plain,
( cong(sK0,A,B,A)
| ~ midp(A,sK0,sK0) ),
inference(resolve,[status(thm)],[c_15850,c_214]) ).
cnf(c_17068,plain,
perp(sK8,A,sK8,A),
inference(resolve,[status(thm)],[c_15958,c_255]) ).
cnf(c_17494,plain,
( cong(sK2,sK2,sK2,A)
| ~ midp(A,sK2,A) ),
inference(resolve,[status(thm)],[c_16411,c_212]) ).
cnf(c_18303,plain,
( cong(sK8,sK8,sK8,A)
| ~ midp(A,sK8,A) ),
inference(resolve,[status(thm)],[c_17068,c_212]) ).
cnf(c_19226,plain,
midp(sK8,A,A),
inference(resolve,[status(thm)],[c_7903,c_9595]) ).
cnf(c_19231,plain,
midp(A,sK8,A),
inference(resolve,[status(thm)],[c_8228,c_19226]) ).
cnf(c_19232,plain,
cong(sK8,sK8,sK8,A),
inference(resolve,[status(thm)],[c_19231,c_18303]) ).
cnf(c_22229,plain,
( ~ cong(sK8,sK8,sK8,A)
| midp(A,sK2,A) ),
inference(resolve,[status(thm)],[c_19232,c_8241]) ).
cnf(c_19248,plain,
midp(A,sK2,A),
inference(resolve,[status(thm)],[c_19232,c_22229]) ).
cnf(c_19254,plain,
cong(sK2,sK2,sK2,A),
inference(resolve,[status(thm)],[c_19248,c_17494]) ).
cnf(c_19273,plain,
midp(sK8,A,sK8),
inference(resolve,[status(thm)],[c_19254,c_9561]) ).
cnf(c_19427,plain,
midp(A,B,A),
inference(resolve,[status(thm)],[c_19273,c_8228]) ).
cnf(c_20106,plain,
midp(A,B,B),
inference(resolve,[status(thm)],[c_19427,c_7903]) ).
cnf(c_20147,plain,
cong(sK0,A,B,A),
inference(resolve,[status(thm)],[c_20106,c_16994]) ).
cnf(c_22230,plain,
( perp(sK0,B,A,C)
| ~ cong(sK0,A,B,A) ),
inference(resolve,[status(thm)],[c_20147,c_211]) ).
cnf(c_22217,plain,
perp(sK0,A,B,C),
inference(resolve,[status(thm)],[c_20147,c_22230]) ).
cnf(c_22218,plain,
$false,
inference(resolve,[status(thm)],[c_22217,c_147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO556+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 13:41:33 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 352222 was started by sandbox2 on n014,
% 0.17/0.43 % Fri Sep 25 13:41:33 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.46
% 0.17/0.46 % From the command line: assign(max_seconds, 300).
% 73.08/10.72
% 73.08/10.72 % given #500 (T,wt=5): 1368 perp(c2,c7,c3,c1). [resolve(1200,a,255,a)].
% 73.08/10.72
% 73.08/10.72 % given #1000 (T,wt=4): 3440 coll(c6,c5,c2). [resolve(587,a,3041,a)].
% 73.08/10.72
% 73.08/10.72 % given #1500 (T,wt=4): 4562 coll(c2,c10,c9). [resolve(3922,a,261,a)].
% 73.08/10.72
% 73.08/10.72 % given #2000 (T,wt=4): 5808 coll(c7,c11,c2). [resolve(5800,a,260,a)].
% 73.08/10.72
% 73.08/10.72 % given #2500 (T,wt=4): 6225 coll(c6,c10,c8). [resolve(6215,a,261,a)].
% 73.08/10.72
% 73.08/10.72 % given #3000 (T,wt=8): 4069 -coll(c8,c10,A) | coll(A,c2,c8). [resolve(3513,a,259,b)].
% 73.08/10.72
% 73.08/10.72 % given #3500 (T,wt=8): 4665 -coll(c2,c5,A) | coll(A,c5,c2). [resolve(4047,a,259,b)].
% 73.08/10.72
% 73.08/10.72 % given #4000 (T,wt=8): 5217 -coll(c11,c6,A) | coll(A,c1,c11). [resolve(4705,a,259,b)].
% 73.08/10.72
% 73.08/10.72 % given #4500 (T,wt=8): 5713 -coll(c5,c4,A) | coll(A,c9,c5). [resolve(5687,a,259,b)].
% 73.08/10.72
% 73.08/10.72 % given #5000 (T,wt=8): 6332 -coll(c8,c11,A) | coll(A,c7,c8). [resolve(6325,a,259,b)].
% 73.08/10.72
% 73.08/10.72 % given #5500 (T,wt=5): 8005 cyclic(c4,A,c6,c6). [back_unit_del(6851),unit_del(a,7983)].
% 73.08/10.72
% 73.08/10.72 % given #6000 (T,wt=5): 12537 cyclic(A,c3,B,c3). [back_unit_del(8776),unit_del(a,12516)].
% 73.08/10.72
% 73.08/10.72 % given #6500 (T,wt=5): 15985 perp(c6,c9,c4,A). [resolve(13114,a,1726,a)].
% 73.08/10.72
% 73.08/10.72 % SZS status Theorem for theBenchmark
% 73.08/10.72
% 73.08/10.72 % Proof 1 at 8.04 (+ 2.12) seconds.
% 73.08/10.72 % Length of proof is 239.
% 73.08/10.72 % Level of proof is 28.
% 73.08/10.72 % Maximum clause weight is 29.000.
% 73.08/10.72 % Given clauses 6960.
% 73.08/10.72
% 73.08/10.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------