%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO552+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 : n013.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 07:18:05 AM UTC 2026
% Result : Theorem 75.44s 10.91s
% Output : CNFRefutation 75.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 33
% Syntax : Number of formulae : 263 ( 132 unt; 0 def)
% Number of atoms : 471 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 343 ( 135 ~; 131 |; 43 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 430 ( 35 sgn 155 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('theBenchmark.p',ruleD1) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('theBenchmark.p',ruleD2) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,D)
& coll(A,B,C) )
=> coll(C,D,A) ),
file('theBenchmark.p',ruleD3) ).
fof(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(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(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(ruleD24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
file('theBenchmark.p',ruleD24) ).
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(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(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(exemplo6GDDFULL012012,conjecture,
! [A,B,C,O,D,E,F,NWPNT1] :
( ( midp(F,B,A)
& coll(E,B,D)
& coll(E,A,C)
& circle(O,A,D,NWPNT1)
& perp(A,C,B,D)
& circle(O,A,B,C) )
=> perp(F,E,C,D) ),
file('theBenchmark.p',exemplo6GDDFULL012012) ).
fof(exemplo6GDDFULL012012_neg,negated_conjecture,
~ ! [A,B,C,O,D,E,F,NWPNT1] :
( ( midp(F,B,A)
& coll(E,B,D)
& coll(E,A,C)
& circle(O,A,D,NWPNT1)
& perp(A,C,B,D)
& circle(O,A,B,C) )
=> perp(F,E,C,D) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012012]) ).
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_101,plain,
( perp(B,C,C,D)
| ~ coll(A,B,D)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD53]) ).
cnf(c_172,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]) ).
fof(nnf_95,plain,
? [A,B,C,O,D,E,F,NWPNT1] :
( ~ perp(F,E,C,D)
& midp(F,B,A)
& coll(E,B,D)
& coll(E,A,C)
& circle(O,A,D,NWPNT1)
& perp(A,C,B,D)
& circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL012012_neg]) ).
fof(sk_exemplo6GDDFULL012012_neg,plain,
( ~ perp(sK0,sK1,sK2,sK3)
& midp(sK0,sK4,sK5)
& coll(sK1,sK4,sK3)
& coll(sK1,sK5,sK2)
& circle(sK6,sK5,sK3,sK7)
& perp(sK5,sK2,sK4,sK3)
& circle(sK6,sK5,sK4,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK5,sK4,sK2,sK3,sK7,sK1,sK0]),skolemize(A,sK5),skolemize(B,sK4),skolemize(C,sK2),skolemize(O,sK6),skolemize(D,sK3),skolemize(E,sK1),skolemize(F,sK0),skolemize(NWPNT1,sK7)],[nnf_95]) ).
cnf(c_177,negated_conjecture,
~ perp(sK0,sK1,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012012_neg]) ).
cnf(c_178,negated_conjecture,
midp(sK0,sK4,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012012_neg]) ).
cnf(c_179,negated_conjecture,
coll(sK1,sK4,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012012_neg]) ).
cnf(c_180,negated_conjecture,
coll(sK1,sK5,sK2),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012012_neg]) ).
cnf(c_217,plain,
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD69]) ).
cnf(c_218,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_219,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_222,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_223,plain,
( para(B,D,C,E)
| ~ midp(A,D,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD63]) ).
cnf(c_229,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_230,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_231,plain,
( cong(D,B,D,C)
| ~ perp(D,A,B,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD55]) ).
cnf(c_237,plain,
( para(A,D,C,E)
| ~ midp(D,B,E)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD44]) ).
cnf(c_238,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_239,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_241,plain,
( eqangle(C,A,C,B,D,A,D,B)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD41]) ).
cnf(c_242,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_258,plain,
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD24]) ).
cnf(c_259,plain,
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD23]) ).
cnf(c_263,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_265,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_266,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_267,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_268,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_269,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_270,plain,
( midp(A,C,B)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD11]) ).
cnf(c_271,plain,
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD10]) ).
cnf(c_272,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_274,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_276,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_277,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_278,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_279,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_280,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_295,plain,
( ~ cong(A,B,A,C)
| perp(B,C,C,C)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_172]) ).
cnf(c_320,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_222]) ).
cnf(c_321,plain,
( para(B,B,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_223]) ).
cnf(c_323,plain,
( perp(B,A,A,B)
| ~ cyclic(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_229]) ).
cnf(c_325,plain,
( para(A,A,C,C)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_237]) ).
cnf(c_326,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_238]) ).
cnf(c_327,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_238]) ).
cnf(c_329,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_265]) ).
cnf(c_330,plain,
( cyclic(B,C,C,D)
| ~ cong(A,B,A,D)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_269]) ).
cnf(c_333,plain,
( para(A,B,A,B)
| ~ perp(A,B,A,B) ),
inference(factor,[status(thm)],[c_272]) ).
cnf(c_334,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_278]) ).
cnf(c_342,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_326]) ).
cnf(c_343,plain,
( cyclic(B,C,C,C)
| ~ cong(A,B,A,C) ),
inference(factor,[status(thm)],[c_330]) ).
cnf(c_496,plain,
coll(sK0,sK4,sK5),
inference(resolve,[status(thm)],[c_217,c_178]) ).
cnf(c_497,plain,
cong(sK0,sK4,sK0,sK5),
inference(resolve,[status(thm)],[c_218,c_178]) ).
cnf(c_507,plain,
( para(A,sK4,B,sK5)
| ~ midp(sK0,A,B) ),
inference(resolve,[status(thm)],[c_223,c_178]) ).
cnf(c_518,plain,
( para(sK0,A,sK5,B)
| ~ midp(A,sK4,B) ),
inference(resolve,[status(thm)],[c_237,c_178]) ).
cnf(c_522,plain,
midp(sK0,sK5,sK4),
inference(resolve,[status(thm)],[c_270,c_178]) ).
cnf(c_542,plain,
coll(sK5,sK1,sK2),
inference(resolve,[status(thm)],[c_279,c_180]) ).
cnf(c_544,plain,
coll(sK1,sK2,sK5),
inference(resolve,[status(thm)],[c_280,c_180]) ).
cnf(c_545,plain,
coll(sK1,sK3,sK4),
inference(resolve,[status(thm)],[c_280,c_179]) ).
cnf(c_563,plain,
para(sK4,sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_321,c_178]) ).
cnf(c_565,plain,
coll(sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_334,c_180]) ).
cnf(c_567,plain,
coll(sK5,sK5,sK0),
inference(resolve,[status(thm)],[c_496,c_334]) ).
cnf(c_21217,plain,
( ~ cong(sK0,sK4,sK0,sK5)
| perp(sK4,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_496,c_295]) ).
cnf(c_579,plain,
perp(sK4,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_497,c_21217]) ).
cnf(c_580,plain,
coll(sK0,sK5,sK4),
inference(resolve,[status(thm)],[c_496,c_280]) ).
cnf(c_581,plain,
coll(sK4,sK0,sK5),
inference(resolve,[status(thm)],[c_496,c_279]) ).
cnf(c_612,plain,
( para(sK0,A,sK4,B)
| ~ midp(A,sK5,B) ),
inference(resolve,[status(thm)],[c_522,c_237]) ).
cnf(c_619,plain,
cong(sK0,sK5,sK0,sK4),
inference(resolve,[status(thm)],[c_522,c_218]) ).
cnf(c_646,plain,
coll(sK2,sK2,sK5),
inference(resolve,[status(thm)],[c_542,c_334]) ).
cnf(c_738,plain,
( coll(sK5,A,sK1)
| ~ coll(sK1,sK2,A) ),
inference(resolve,[status(thm)],[c_544,c_278]) ).
cnf(c_760,plain,
coll(sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_545,c_334]) ).
cnf(c_815,plain,
( coll(sK1,A,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_565,c_278]) ).
cnf(c_891,plain,
coll(sK5,sK0,sK5),
inference(resolve,[status(thm)],[c_567,c_280]) ).
cnf(c_892,plain,
( coll(A,sK0,sK5)
| ~ coll(sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_567,c_278]) ).
cnf(c_915,plain,
coll(sK4,sK4,sK0),
inference(resolve,[status(thm)],[c_580,c_334]) ).
cnf(c_21218,plain,
( ~ cong(sK0,sK5,sK0,sK4)
| perp(sK5,sK4,sK4,sK4) ),
inference(resolve,[status(thm)],[c_580,c_295]) ).
cnf(c_927,plain,
perp(sK5,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_619,c_21218]) ).
cnf(c_928,plain,
coll(sK5,sK0,sK4),
inference(resolve,[status(thm)],[c_580,c_279]) ).
cnf(c_929,plain,
( coll(A,sK4,sK0)
| ~ coll(sK0,sK5,A) ),
inference(resolve,[status(thm)],[c_580,c_278]) ).
cnf(c_947,plain,
coll(sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_581,c_334]) ).
cnf(c_986,plain,
coll(sK5,sK5,sK2),
inference(resolve,[status(thm)],[c_646,c_334]) ).
cnf(c_1228,plain,
coll(sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_760,c_280]) ).
cnf(c_1493,plain,
coll(sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_891,c_334]) ).
cnf(c_1552,plain,
coll(sK4,sK0,sK4),
inference(resolve,[status(thm)],[c_915,c_280]) ).
cnf(c_1576,plain,
coll(sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_928,c_334]) ).
cnf(c_1628,plain,
coll(sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_947,c_280]) ).
cnf(c_1635,plain,
( midp(sK5,sK5,sK4)
| ~ cong(sK5,sK5,sK5,sK4) ),
inference(resolve,[status(thm)],[c_947,c_219]) ).
cnf(c_2034,plain,
coll(sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_1228,c_334]) ).
cnf(c_2392,plain,
( cyclic(A,sK5,sK5,sK5)
| ~ eqangle(sK5,A,sK5,sK5,sK5,A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_1493,c_239]) ).
cnf(c_2396,plain,
( midp(sK5,sK5,sK5)
| ~ cong(sK5,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_1493,c_219]) ).
cnf(c_2503,plain,
( ~ cong(sK4,sK0,sK4,sK4)
| perp(sK0,sK4,sK4,sK4) ),
inference(resolve,[status(thm)],[c_1552,c_295]) ).
cnf(c_2504,plain,
coll(sK0,sK4,sK4),
inference(resolve,[status(thm)],[c_1552,c_279]) ).
cnf(c_2543,plain,
coll(sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_1576,c_280]) ).
cnf(c_2617,plain,
coll(sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_1628,c_279]) ).
cnf(c_2950,plain,
( midp(sK4,sK4,sK4)
| ~ cong(sK4,sK4,sK4,sK4) ),
inference(resolve,[status(thm)],[c_2034,c_219]) ).
cnf(c_3269,plain,
( midp(sK0,sK4,sK4)
| ~ cong(sK0,sK4,sK0,sK4) ),
inference(resolve,[status(thm)],[c_2504,c_219]) ).
cnf(c_3297,plain,
coll(sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_2543,c_279]) ).
cnf(c_3349,plain,
( midp(sK4,sK5,sK5)
| ~ cong(sK4,sK5,sK4,sK5) ),
inference(resolve,[status(thm)],[c_2617,c_219]) ).
cnf(c_3589,plain,
( midp(sK5,sK4,sK4)
| ~ cong(sK5,sK4,sK5,sK4) ),
inference(resolve,[status(thm)],[c_3297,c_219]) ).
cnf(c_3605,plain,
cyclic(sK4,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_497,c_343]) ).
cnf(c_3757,plain,
( perp(sK4,sK4,A,B)
| ~ perp(sK5,sK5,A,B) ),
inference(resolve,[status(thm)],[c_563,c_271]) ).
cnf(c_3816,plain,
( cong(sK4,sK5,sK4,sK5)
| ~ midp(sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_579,c_231]) ).
cnf(c_3908,plain,
cyclic(sK5,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_619,c_343]) ).
cnf(c_4027,plain,
( cong(sK5,sK4,sK5,sK4)
| ~ midp(sK4,sK4,sK4) ),
inference(resolve,[status(thm)],[c_927,c_231]) ).
cnf(c_4059,plain,
( cong(sK4,sK5,sK5,sK5)
| ~ eqangle(sK5,sK4,sK5,sK5,sK5,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_3605,c_342]) ).
cnf(c_4060,plain,
cyclic(sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_3605,c_329]) ).
cnf(c_4068,plain,
cyclic(sK5,sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_3605,c_266]) ).
cnf(c_4194,plain,
cyclic(sK4,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_3908,c_329]) ).
cnf(c_4241,plain,
( cong(sK5,sK5,sK5,sK5)
| ~ eqangle(sK5,sK5,sK5,sK5,sK5,sK5,sK5,sK5) ),
inference(resolve,[status(thm)],[c_4060,c_342]) ).
cnf(c_4249,plain,
eqangle(sK5,sK5,sK5,sK5,sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_4060,c_241]) ).
cnf(c_4272,plain,
cong(sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_4249,c_4241]) ).
cnf(c_4274,plain,
midp(sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_4272,c_2396]) ).
cnf(c_4275,plain,
cong(sK4,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_4274,c_3816]) ).
cnf(c_4279,plain,
midp(sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_4275,c_3349]) ).
cnf(c_4291,plain,
para(sK5,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_4274,c_325]) ).
cnf(c_4418,plain,
cyclic(sK5,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_4068,c_267]) ).
cnf(c_4521,plain,
( cong(sK4,sK4,sK4,sK4)
| ~ eqangle(sK4,sK4,sK4,sK4,sK4,sK4,sK4,sK4) ),
inference(resolve,[status(thm)],[c_4194,c_342]) ).
cnf(c_4529,plain,
eqangle(sK4,sK4,sK4,sK4,sK4,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_4194,c_241]) ).
cnf(c_4552,plain,
cong(sK4,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_4529,c_4521]) ).
cnf(c_4554,plain,
midp(sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_4552,c_2950]) ).
cnf(c_4555,plain,
cong(sK5,sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_4554,c_4027]) ).
cnf(c_4559,plain,
midp(sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_4555,c_3589]) ).
cnf(c_5024,plain,
eqangle(sK5,sK5,A,B,sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_4291,c_242]) ).
cnf(c_5035,plain,
cyclic(sK5,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_4418,c_268]) ).
cnf(c_5222,plain,
( perp(sK4,sK5,sK5,sK4)
| ~ cyclic(sK5,sK5,sK4,sK4) ),
inference(resolve,[status(thm)],[c_4555,c_323]) ).
cnf(c_5271,plain,
( perp(A,sK5,sK5,sK4)
| ~ cyclic(sK5,sK5,A,sK4)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_4555,c_229]) ).
cnf(c_5437,plain,
cyclic(sK5,sK5,sK4,sK4),
inference(resolve,[status(thm)],[c_5035,c_329]) ).
cnf(c_5445,plain,
( cyclic(sK5,sK5,A,sK4)
| ~ cyclic(sK5,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_5035,c_265]) ).
cnf(c_5470,plain,
perp(sK4,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_5437,c_5222]) ).
cnf(c_5639,plain,
perp(sK4,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_5470,c_274]) ).
cnf(c_5784,plain,
para(sK4,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_5639,c_333]) ).
cnf(c_5920,plain,
( midp(A,sK5,sK5)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_5784,c_320]) ).
cnf(c_6004,plain,
coll(sK2,sK0,sK5),
inference(resolve,[status(thm)],[c_892,c_986]) ).
cnf(c_6020,plain,
coll(sK0,sK2,sK5),
inference(resolve,[status(thm)],[c_6004,c_279]) ).
cnf(c_6133,plain,
coll(sK0,sK5,sK2),
inference(resolve,[status(thm)],[c_6020,c_280]) ).
cnf(c_7155,plain,
coll(sK2,sK4,sK0),
inference(resolve,[status(thm)],[c_929,c_6133]) ).
cnf(c_7209,plain,
coll(sK2,sK0,sK4),
inference(resolve,[status(thm)],[c_7155,c_280]) ).
cnf(c_7384,plain,
coll(sK4,sK4,sK2),
inference(resolve,[status(thm)],[c_7209,c_334]) ).
cnf(c_7682,plain,
coll(sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_7384,c_334]) ).
cnf(c_8056,plain,
coll(sK1,sK4,sK2),
inference(resolve,[status(thm)],[c_7682,c_815]) ).
cnf(c_8418,plain,
coll(sK1,sK2,sK4),
inference(resolve,[status(thm)],[c_8056,c_280]) ).
cnf(c_8793,plain,
coll(sK5,sK4,sK1),
inference(resolve,[status(thm)],[c_8418,c_738]) ).
cnf(c_9223,plain,
coll(sK5,sK1,sK4),
inference(resolve,[status(thm)],[c_8793,c_280]) ).
cnf(c_9752,plain,
coll(sK1,sK5,sK4),
inference(resolve,[status(thm)],[c_9223,c_279]) ).
cnf(c_10325,plain,
( midp(sK1,sK5,sK4)
| ~ cong(sK1,sK5,sK1,sK4) ),
inference(resolve,[status(thm)],[c_9752,c_219]) ).
cnf(c_11168,plain,
para(sK0,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_518,c_4559]) ).
cnf(c_11169,plain,
para(sK0,sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_518,c_4554]) ).
cnf(c_11175,plain,
para(sK5,sK4,sK0,sK5),
inference(resolve,[status(thm)],[c_11168,c_276]) ).
cnf(c_11198,plain,
para(sK0,sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_11169,c_277]) ).
cnf(c_11234,plain,
para(sK5,sK4,sK5,sK0),
inference(resolve,[status(thm)],[c_11175,c_277]) ).
cnf(c_11256,plain,
para(sK4,sK5,sK0,sK4),
inference(resolve,[status(thm)],[c_11198,c_276]) ).
cnf(c_11312,plain,
para(sK5,sK0,sK5,sK4),
inference(resolve,[status(thm)],[c_11234,c_276]) ).
cnf(c_21219,plain,
( midp(A,sK0,sK4)
| ~ para(sK5,sK0,sK5,sK4)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_11234,c_222]) ).
cnf(c_11319,plain,
( midp(A,sK0,sK4)
| ~ midp(A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_11312,c_21219]) ).
cnf(c_11331,plain,
para(sK4,sK5,sK4,sK0),
inference(resolve,[status(thm)],[c_11256,c_277]) ).
cnf(c_11410,plain,
para(sK4,sK0,sK4,sK5),
inference(resolve,[status(thm)],[c_11331,c_276]) ).
cnf(c_21220,plain,
( midp(A,sK0,sK5)
| ~ para(sK4,sK0,sK4,sK5)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_11331,c_222]) ).
cnf(c_11417,plain,
( midp(A,sK0,sK5)
| ~ midp(A,sK4,sK4) ),
inference(resolve,[status(thm)],[c_11410,c_21220]) ).
cnf(c_11482,plain,
midp(sK4,sK0,sK4),
inference(resolve,[status(thm)],[c_11319,c_4279]) ).
cnf(c_11507,plain,
cong(sK4,sK0,sK4,sK4),
inference(resolve,[status(thm)],[c_11482,c_218]) ).
cnf(c_11524,plain,
perp(sK0,sK4,sK4,sK4),
inference(resolve,[status(thm)],[c_11507,c_2503]) ).
cnf(c_21221,plain,
( cong(sK0,sK4,sK0,sK4)
| ~ midp(sK4,sK4,sK4) ),
inference(resolve,[status(thm)],[c_11524,c_231]) ).
cnf(c_11714,plain,
cong(sK0,sK4,sK0,sK4),
inference(resolve,[status(thm)],[c_4554,c_21221]) ).
cnf(c_11738,plain,
midp(sK0,sK4,sK4),
inference(resolve,[status(thm)],[c_11714,c_3269]) ).
cnf(c_11741,plain,
midp(sK0,sK5,sK5),
inference(resolve,[status(thm)],[c_11738,c_5920]) ).
cnf(c_11795,plain,
para(sK5,sK4,sK5,sK5),
inference(resolve,[status(thm)],[c_11741,c_507]) ).
cnf(c_12330,plain,
eqangle(sK5,sK4,A,B,sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_11795,c_242]) ).
cnf(c_12339,plain,
cong(sK4,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_12330,c_4059]) ).
cnf(c_12806,plain,
cong(sK5,sK5,sK4,sK5),
inference(resolve,[status(thm)],[c_12339,c_258]) ).
cnf(c_13217,plain,
cong(sK5,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_12806,c_259]) ).
cnf(c_13233,plain,
midp(sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_13217,c_1635]) ).
cnf(c_13268,plain,
( cong(A,sK5,A,sK4)
| ~ perp(A,sK5,sK5,sK4) ),
inference(resolve,[status(thm)],[c_13233,c_231]) ).
cnf(c_14316,plain,
midp(sK0,sK0,sK5),
inference(resolve,[status(thm)],[c_11417,c_11738]) ).
cnf(c_14345,plain,
midp(sK0,sK5,sK0),
inference(resolve,[status(thm)],[c_14316,c_270]) ).
cnf(c_14354,plain,
cong(sK0,sK0,sK0,sK5),
inference(resolve,[status(thm)],[c_14316,c_218]) ).
cnf(c_14459,plain,
cong(sK0,sK5,sK0,sK0),
inference(resolve,[status(thm)],[c_14345,c_218]) ).
cnf(c_14528,plain,
cyclic(sK0,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_14354,c_343]) ).
cnf(c_14697,plain,
cyclic(sK5,sK0,sK0,sK0),
inference(resolve,[status(thm)],[c_14459,c_343]) ).
cnf(c_14873,plain,
cyclic(sK5,sK0,sK5,sK5),
inference(resolve,[status(thm)],[c_14528,c_266]) ).
cnf(c_14924,plain,
cyclic(sK0,sK5,sK0,sK0),
inference(resolve,[status(thm)],[c_14697,c_266]) ).
cnf(c_15000,plain,
cyclic(sK5,sK5,sK0,sK5),
inference(resolve,[status(thm)],[c_14873,c_267]) ).
cnf(c_15082,plain,
cyclic(sK0,sK0,sK5,sK0),
inference(resolve,[status(thm)],[c_14924,c_267]) ).
cnf(c_15151,plain,
cyclic(sK5,sK5,sK5,sK0),
inference(resolve,[status(thm)],[c_15000,c_268]) ).
cnf(c_15152,plain,
( cyclic(sK5,sK0,A,sK5)
| ~ cyclic(sK5,sK5,sK0,A) ),
inference(resolve,[status(thm)],[c_15000,c_265]) ).
cnf(c_15188,plain,
cyclic(sK0,sK0,sK0,sK5),
inference(resolve,[status(thm)],[c_15082,c_268]) ).
cnf(c_15204,plain,
cyclic(sK5,sK5,sK0,sK0),
inference(resolve,[status(thm)],[c_15151,c_329]) ).
cnf(c_15212,plain,
( cyclic(sK5,sK5,sK0,A)
| ~ cyclic(sK5,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_15151,c_265]) ).
cnf(c_15237,plain,
cyclic(sK0,sK0,sK5,sK5),
inference(resolve,[status(thm)],[c_15188,c_329]) ).
cnf(c_15276,plain,
cyclic(sK5,sK0,sK5,sK0),
inference(resolve,[status(thm)],[c_15204,c_267]) ).
cnf(c_15278,plain,
( cyclic(sK5,sK0,sK0,A)
| ~ cyclic(sK5,sK5,sK0,A) ),
inference(resolve,[status(thm)],[c_15204,c_265]) ).
cnf(c_15305,plain,
( cyclic(sK0,sK5,A,sK5)
| ~ cyclic(sK0,sK0,sK5,A) ),
inference(resolve,[status(thm)],[c_15237,c_265]) ).
cnf(c_15330,plain,
cyclic(sK5,sK0,sK0,sK5),
inference(resolve,[status(thm)],[c_15276,c_268]) ).
cnf(c_15355,plain,
( cyclic(sK0,sK0,sK5,A)
| ~ cyclic(sK5,sK0,sK0,A) ),
inference(resolve,[status(thm)],[c_15330,c_265]) ).
cnf(c_15611,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK5,sK5) ),
inference(resolve,[status(thm)],[c_5024,c_327]) ).
cnf(c_15613,plain,
eqangle(A,B,sK5,sK5,A,B,sK5,sK5),
inference(resolve,[status(thm)],[c_5024,c_263]) ).
cnf(c_15623,plain,
cyclic(A,sK5,sK5,sK5),
inference(resolve,[status(thm)],[c_15613,c_2392]) ).
cnf(c_15637,plain,
cyclic(sK5,A,sK5,sK5),
inference(resolve,[status(thm)],[c_15623,c_266]) ).
cnf(c_15640,plain,
( cong(sK5,A,sK5,A)
| ~ cyclic(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_15637,c_15611]) ).
cnf(c_15658,plain,
cyclic(sK5,sK5,A,sK5),
inference(resolve,[status(thm)],[c_15637,c_267]) ).
cnf(c_15676,plain,
cyclic(sK5,sK5,sK5,A),
inference(resolve,[status(thm)],[c_15658,c_268]) ).
cnf(c_15681,plain,
cyclic(sK5,sK5,sK0,A),
inference(resolve,[status(thm)],[c_15676,c_15212]) ).
cnf(c_15691,plain,
cyclic(sK5,sK5,A,sK4),
inference(resolve,[status(thm)],[c_15676,c_5445]) ).
cnf(c_15697,plain,
cyclic(sK5,sK0,sK0,A),
inference(resolve,[status(thm)],[c_15681,c_15278]) ).
cnf(c_15706,plain,
cyclic(sK5,sK0,A,sK5),
inference(resolve,[status(thm)],[c_15681,c_15152]) ).
cnf(c_15723,plain,
( perp(A,sK5,sK5,sK4)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_15691,c_5271]) ).
cnf(c_15724,plain,
cyclic(sK0,sK0,sK5,A),
inference(resolve,[status(thm)],[c_15697,c_15355]) ).
cnf(c_15762,plain,
cyclic(sK0,sK5,A,sK5),
inference(resolve,[status(thm)],[c_15724,c_15305]) ).
cnf(c_21222,plain,
( cyclic(sK5,sK5,A,B)
| ~ cyclic(sK5,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_15676,c_265]) ).
cnf(c_15904,plain,
cyclic(sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_15676,c_21222]) ).
cnf(c_21223,plain,
( cyclic(sK5,sK0,A,B)
| ~ cyclic(sK5,sK5,sK0,A) ),
inference(resolve,[status(thm)],[c_15681,c_265]) ).
cnf(c_15921,plain,
cyclic(sK5,sK0,A,B),
inference(resolve,[status(thm)],[c_15904,c_21223]) ).
cnf(c_21224,plain,
( cyclic(sK0,A,sK5,B)
| ~ cyclic(sK5,sK0,A,B) ),
inference(resolve,[status(thm)],[c_15706,c_265]) ).
cnf(c_16063,plain,
cyclic(sK0,A,sK5,B),
inference(resolve,[status(thm)],[c_15921,c_21224]) ).
cnf(c_21225,plain,
( cyclic(sK0,sK5,A,B)
| ~ cyclic(sK0,sK0,sK5,A) ),
inference(resolve,[status(thm)],[c_15724,c_265]) ).
cnf(c_16121,plain,
cyclic(sK0,sK5,A,B),
inference(resolve,[status(thm)],[c_16063,c_21225]) ).
cnf(c_21226,plain,
( cyclic(sK5,A,sK5,B)
| ~ cyclic(sK0,sK5,A,B) ),
inference(resolve,[status(thm)],[c_15762,c_265]) ).
cnf(c_16218,plain,
cyclic(sK5,A,sK5,B),
inference(resolve,[status(thm)],[c_16121,c_21226]) ).
cnf(c_16231,plain,
cong(sK5,A,sK5,A),
inference(resolve,[status(thm)],[c_16218,c_15640]) ).
cnf(c_16232,plain,
perp(A,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_16231,c_15723]) ).
cnf(c_16260,plain,
cong(A,sK5,A,sK4),
inference(resolve,[status(thm)],[c_16232,c_13268]) ).
cnf(c_16321,plain,
midp(sK1,sK5,sK4),
inference(resolve,[status(thm)],[c_16260,c_10325]) ).
cnf(c_16778,plain,
para(sK0,sK1,sK4,sK4),
inference(resolve,[status(thm)],[c_16321,c_612]) ).
cnf(c_21227,plain,
( perp(sK5,sK5,A,B)
| ~ cong(sK5,A,sK5,A) ),
inference(resolve,[status(thm)],[c_16231,c_230]) ).
cnf(c_18452,plain,
perp(sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_16231,c_21227]) ).
cnf(c_18493,plain,
perp(sK4,sK4,A,B),
inference(resolve,[status(thm)],[c_18452,c_3757]) ).
cnf(c_21228,plain,
( perp(sK0,sK1,A,B)
| ~ perp(sK4,sK4,A,B) ),
inference(resolve,[status(thm)],[c_16778,c_271]) ).
cnf(c_21215,plain,
perp(sK0,sK1,A,B),
inference(resolve,[status(thm)],[c_18493,c_21228]) ).
cnf(c_21216,plain,
$false,
inference(resolve,[status(thm)],[c_21215,c_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO552+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 13:40:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 538644 was started by sandbox on n013,
% 0.08/0.36 % Fri Sep 25 13:40:51 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.39
% 0.08/0.39 % From the command line: assign(max_seconds, 300).
% 75.44/10.91
% 75.44/10.91 % given #500 (T,wt=9): 9737 coll(c3,c2,c1). [resolve(9223,a,662,a)].
% 75.44/10.91
% 75.44/10.91 % given #1000 (T,wt=10): 12134 para(c1,c7,c7,c1). [resolve(11592,a,276,a)].
% 75.44/10.91
% 75.44/10.91 % given #1500 (W,wt=9): 19910 midp(c3,c5,c1). [resolve(19814,a,270,a)].
% 75.44/10.91
% 75.44/10.91 % SZS status Theorem for theBenchmark
% 75.44/10.91
% 75.44/10.91 % Proof 1 at 1.82 (+ 0.57) seconds.
% 75.44/10.91 % Length of proof is 248.
% 75.44/10.91 % Level of proof is 40.
% 75.44/10.91 % Maximum clause weight is 34.000.
% 75.44/10.91 % Given clauses 1553.
% 75.44/10.91
% 75.44/10.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------