%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO596+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 : n003.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 07:18:11 AM UTC 2026
% Result : Theorem 35.02s 4.97s
% Output : CNFRefutation 35.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 39
% Syntax : Number of formulae : 233 ( 93 unt; 0 def)
% Number of atoms : 471 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 392 ( 154 ~; 150 |; 48 &)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 751 ( 129 sgn 222 !; 12 ?)
% 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(ruleD6,axiom,
! [A,B,C,D,E,F] :
( ( para(C,D,E,F)
& para(A,B,C,D) )
=> para(A,B,E,F) ),
file('theBenchmark.p',ruleD6) ).
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(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(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(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(ruleD22,axiom,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ( eqangle(P,Q,U,V,E,F,G,H)
& eqangle(A,B,C,D,P,Q,U,V) )
=> eqangle(A,B,C,D,E,F,G,H) ),
file('theBenchmark.p',ruleD22) ).
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(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(ruleD46,axiom,
! [A,B,O] :
( cong(O,A,O,B)
=> eqangle(O,A,A,B,A,B,O,B) ),
file('theBenchmark.p',ruleD46) ).
fof(ruleD48,axiom,
! [A,B,C,O,X] :
( ( perp(O,A,A,X)
& circle(O,A,B,C) )
=> eqangle(A,X,A,B,C,A,C,B) ),
file('theBenchmark.p',ruleD48) ).
fof(ruleD50,axiom,
! [A,B,C,O,M] :
( ( midp(M,B,C)
& circle(O,A,B,C) )
=> eqangle(A,B,A,C,O,B,O,M) ),
file('theBenchmark.p',ruleD50) ).
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(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(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('theBenchmark.p',ruleD68) ).
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(ruleD75,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( cong(P,Q,U,V)
& eqratio(A,B,C,D,P,Q,U,V) )
=> cong(A,B,C,D) ),
file('theBenchmark.p',ruleD75) ).
fof(ruleX11,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ),
file('theBenchmark.p',ruleX11) ).
fof(ruleX14,axiom,
! [A,B,C,D] :
? [O] :
( ( cyclic(A,B,C,D)
& perp(A,C,C,B) )
=> circle(O,A,B,C) ),
file('theBenchmark.p',ruleX14) ).
fof(exemplo6GDDFULL416058,conjecture,
! [A,B,C,D,E,F,G,NWPNT1] :
( ( coll(G,B,C)
& para(A,E,G,F)
& coll(F,C,E)
& coll(F,A,B)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) )
=> eqangle(G,F,F,B,F,C,C,B) ),
file('theBenchmark.p',exemplo6GDDFULL416058) ).
fof(exemplo6GDDFULL416058_neg,negated_conjecture,
~ ! [A,B,C,D,E,F,G,NWPNT1] :
( ( coll(G,B,C)
& para(A,E,G,F)
& coll(F,C,E)
& coll(F,A,B)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) )
=> eqangle(G,F,F,B,F,C,C,B) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416058]) ).
cnf(c_96,plain,
( eqangle(B,E,B,C,D,B,D,C)
| ~ perp(A,B,B,E)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD48]) ).
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_99,plain,
( eqangle(B,C,B,D,A,C,A,E)
| ~ midp(E,C,D)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD50]) ).
cnf(c_100,plain,
( midp(E,C,D)
| ~ eqangle(B,C,B,D,A,C,A,E)
| ~ coll(E,C,D)
| ~ circle(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD51]) ).
fof(nnf_87,plain,
! [A,B,C,O] :
? [P] :
( perp(P,A,A,O)
| ~ circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[ruleX11]) ).
fof(sk_ruleX11,plain,
! [A,B,C,O] :
( perp(sK0(A,B,C,O),A,A,O)
| ~ circle(O,A,B,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(P,sK0(A,B,C,O))],[nnf_87]) ).
cnf(c_102,plain,
( perp(sK0(B,C,D,A),B,B,A)
| ~ circle(A,B,C,D) ),
inference(split_conjunct,[status(thm)],[sk_ruleX11]) ).
fof(nnf_90,plain,
! [A,B,C,D] :
? [O] :
( circle(O,A,B,C)
| ~ cyclic(A,B,C,D)
| ~ perp(A,C,C,B) ),
inference(fof_nnf,[status(thm)],[ruleX14]) ).
fof(sk_ruleX14,plain,
! [A,B,C,D] :
( circle(sK1(A,B,C,D),A,B,C)
| ~ cyclic(A,B,C,D)
| ~ perp(A,C,C,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(O,sK1(A,B,C,D))],[nnf_90]) ).
cnf(c_108,plain,
( circle(sK1(A,C,B,D),A,C,B)
| ~ cyclic(A,C,B,D)
| ~ perp(A,B,B,C) ),
inference(split_conjunct,[status(thm)],[sk_ruleX14]) ).
fof(nnf_95,plain,
? [A,B,C,D,E,F,G,NWPNT1] :
( ~ eqangle(G,F,F,B,F,C,C,B)
& coll(G,B,C)
& para(A,E,G,F)
& coll(F,C,E)
& coll(F,A,B)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL416058_neg]) ).
fof(sk_exemplo6GDDFULL416058_neg,plain,
( ~ eqangle(sK6,sK7,sK7,sK4,sK7,sK5,sK5,sK4)
& coll(sK6,sK4,sK5)
& para(sK3,sK8,sK6,sK7)
& coll(sK7,sK5,sK8)
& coll(sK7,sK3,sK4)
& circle(sK2,sK3,sK8,sK9)
& circle(sK2,sK3,sK4,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK8,sK9,sK7,sK6]),skolemize(A,sK3),skolemize(B,sK4),skolemize(C,sK5),skolemize(D,sK2),skolemize(E,sK8),skolemize(F,sK7),skolemize(G,sK6),skolemize(NWPNT1,sK9)],[nnf_95]) ).
cnf(c_109,negated_conjecture,
circle(sK2,sK3,sK4,sK5),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416058_neg]) ).
cnf(c_130,negated_conjecture,
perp(sK0(sK3,sK4,sK5,sK2),sK3,sK3,sK2),
inference(resolve,[status(thm)],[c_109,c_102]) ).
cnf(c_139,plain,
( eqangle(A,E,A,C,B,A,B,C)
| ~ perp(sK1(A,C,B,D),A,A,E)
| ~ cyclic(A,C,B,D)
| ~ perp(A,B,B,C) ),
inference(resolve,[status(thm)],[c_108,c_96]) ).
cnf(c_173,plain,
( ~ cong(E,D,E,C)
| ~ cong(E,D,E,B)
| midp(A,B,C)
| ~ eqangle(D,B,D,C,E,B,E,A)
| ~ coll(A,B,C) ),
inference(resolve,[status(thm)],[c_100,c_97]) ).
cnf(c_174,plain,
( ~ cong(E,D,E,C)
| ~ cong(E,D,E,B)
| eqangle(D,B,D,C,E,B,E,A)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_99,c_97]) ).
cnf(c_177,negated_conjecture,
~ eqangle(sK6,sK7,sK7,sK4,sK7,sK5,sK5,sK4),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416058_neg]) ).
cnf(c_179,negated_conjecture,
para(sK3,sK8,sK6,sK7),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL416058_neg]) ).
cnf(c_212,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_214,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_218,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_220,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_221,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_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_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_235,plain,
( eqangle(A,B,B,C,B,C,A,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD46]) ).
cnf(c_236,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_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_260,plain,
( eqangle(A,B,C,D,V8,V9,V10,V11)
| ~ eqangle(E,F,V6,V7,V8,V9,V10,V11)
| ~ eqangle(A,B,C,D,E,F,V6,V7) ),
inference(clausify,[status(thm)],[ruleD22]) ).
cnf(c_261,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_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_264,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_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_272,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_273,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_275,plain,
( para(A,B,E,F)
| ~ para(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD6]) ).
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_296,plain,
( ~ cong(D,C,D,B)
| midp(A,B,B)
| ~ eqangle(C,B,C,B,D,B,D,A)
| ~ coll(A,B,B) ),
inference(factor,[status(thm)],[c_173]) ).
cnf(c_323,plain,
( perp(B,A,A,B)
| ~ cyclic(A,C,B,B)
| ~ cong(A,B,C,B) ),
inference(factor,[status(thm)],[c_229]) ).
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_329,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_265]) ).
cnf(c_334,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_278]) ).
cnf(c_396,plain,
eqangle(sK3,sK8,A,B,sK6,sK7,A,B),
inference(resolve,[status(thm)],[c_242,c_179]) ).
cnf(c_400,plain,
( para(A,B,sK3,sK2)
| ~ perp(A,B,sK0(sK3,sK4,sK5,sK2),sK3) ),
inference(resolve,[status(thm)],[c_272,c_130]) ).
cnf(c_402,plain,
perp(sK3,sK2,sK0(sK3,sK4,sK5,sK2),sK3),
inference(resolve,[status(thm)],[c_273,c_130]) ).
cnf(c_407,plain,
( para(A,B,sK6,sK7)
| ~ para(A,B,sK3,sK8) ),
inference(resolve,[status(thm)],[c_275,c_179]) ).
cnf(c_408,plain,
para(sK6,sK7,sK3,sK8),
inference(resolve,[status(thm)],[c_276,c_179]) ).
cnf(c_775,plain,
eqangle(A,B,sK3,sK8,A,B,sK6,sK7),
inference(resolve,[status(thm)],[c_396,c_263]) ).
cnf(c_776,plain,
eqangle(sK3,sK8,sK6,sK7,A,B,A,B),
inference(resolve,[status(thm)],[c_396,c_261]) ).
cnf(c_826,plain,
para(sK3,sK2,sK3,sK2),
inference(resolve,[status(thm)],[c_402,c_400]) ).
cnf(c_934,plain,
para(sK6,sK7,sK6,sK7),
inference(resolve,[status(thm)],[c_407,c_408]) ).
cnf(c_1290,plain,
para(sK3,sK2,sK2,sK3),
inference(resolve,[status(thm)],[c_826,c_277]) ).
cnf(c_1291,plain,
eqangle(sK3,sK2,A,B,sK3,sK2,A,B),
inference(resolve,[status(thm)],[c_826,c_242]) ).
cnf(c_1293,plain,
( eqratio(A,sK3,sK3,sK3,A,sK2,sK2,sK2)
| ~ coll(A,sK2,sK2)
| ~ coll(A,sK3,sK3) ),
inference(resolve,[status(thm)],[c_826,c_221]) ).
cnf(c_1294,plain,
coll(sK3,sK2,sK2),
inference(resolve,[status(thm)],[c_826,c_220]) ).
cnf(c_1301,plain,
coll(sK2,sK2,sK3),
inference(resolve,[status(thm)],[c_1294,c_334]) ).
cnf(c_1302,plain,
coll(sK2,sK3,sK2),
inference(resolve,[status(thm)],[c_1294,c_279]) ).
cnf(c_1311,plain,
coll(sK3,sK3,sK2),
inference(resolve,[status(thm)],[c_1301,c_334]) ).
cnf(c_1318,plain,
coll(sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_1302,c_334]) ).
cnf(c_1325,plain,
coll(sK3,sK2,sK3),
inference(resolve,[status(thm)],[c_1311,c_280]) ).
cnf(c_1353,plain,
coll(sK2,sK3,sK3),
inference(resolve,[status(thm)],[c_1325,c_279]) ).
cnf(c_1781,plain,
eqangle(sK6,sK7,A,B,sK6,sK7,A,B),
inference(resolve,[status(thm)],[c_934,c_242]) ).
cnf(c_1794,plain,
para(sK2,sK3,sK3,sK2),
inference(resolve,[status(thm)],[c_1290,c_276]) ).
cnf(c_1853,plain,
para(sK2,sK3,sK2,sK3),
inference(resolve,[status(thm)],[c_1794,c_277]) ).
cnf(c_1880,plain,
eqangle(sK2,sK3,A,B,sK2,sK3,A,B),
inference(resolve,[status(thm)],[c_1853,c_242]) ).
cnf(c_2519,plain,
eqangle(A,B,A,B,sK3,sK8,sK6,sK7),
inference(resolve,[status(thm)],[c_775,c_261]) ).
cnf(c_2524,plain,
( eqangle(sK3,sK8,sK6,sK7,C,D,E,F)
| ~ eqangle(A,B,A,B,C,D,E,F) ),
inference(resolve,[status(thm)],[c_776,c_260]) ).
cnf(c_2936,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ cyclic(sK2,sK2,sK3,sK3)
| ~ cyclic(sK2,sK2,sK3,sK2) ),
inference(resolve,[status(thm)],[c_1291,c_326]) ).
cnf(c_14753,plain,
( ~ cong(sK3,sK3,sK3,sK2)
| midp(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2) ),
inference(resolve,[status(thm)],[c_1291,c_296]) ).
cnf(c_2937,plain,
( ~ cong(sK3,sK3,sK3,sK2)
| midp(sK2,sK2,sK2) ),
inference(resolve,[status(thm)],[c_1318,c_14753]) ).
cnf(c_2940,plain,
( cyclic(sK2,A,sK3,sK3)
| ~ coll(sK3,sK3,A) ),
inference(resolve,[status(thm)],[c_1291,c_239]) ).
cnf(c_2941,plain,
( cong(sK2,A,sK2,A)
| ~ cyclic(sK2,A,sK3,sK3)
| ~ cyclic(sK2,A,sK3,A)
| ~ cyclic(sK2,A,sK3,sK2) ),
inference(resolve,[status(thm)],[c_1291,c_238]) ).
cnf(c_14754,plain,
( eqratio(sK2,sK3,sK3,sK3,sK2,sK2,sK2,sK2)
| ~ coll(sK2,sK3,sK3) ),
inference(resolve,[status(thm)],[c_1293,c_1318]) ).
cnf(c_2954,plain,
eqratio(sK2,sK3,sK3,sK3,sK2,sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_1353,c_14754]) ).
cnf(c_3832,plain,
( cyclic(sK7,A,sK6,sK6)
| ~ coll(sK6,sK6,A) ),
inference(resolve,[status(thm)],[c_1781,c_239]) ).
cnf(c_3937,plain,
( cyclic(sK3,A,sK2,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_1880,c_239]) ).
cnf(c_4706,plain,
( eqangle(E,F,E,F,A,B,C,D)
| ~ eqangle(sK3,sK8,sK6,sK7,A,B,C,D) ),
inference(resolve,[status(thm)],[c_2519,c_260]) ).
cnf(c_14755,plain,
( para(A,B,A,B)
| ~ para(sK3,sK8,sK6,sK7) ),
inference(resolve,[status(thm)],[c_2519,c_214]) ).
cnf(c_4707,negated_conjecture,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_179,c_14755]) ).
cnf(c_4721,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_4707,c_220]) ).
cnf(c_4783,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_4721,c_334]) ).
cnf(c_4791,plain,
cyclic(sK3,A,sK2,sK2),
inference(resolve,[status(thm)],[c_4783,c_3937]) ).
cnf(c_4794,plain,
cyclic(sK7,A,sK6,sK6),
inference(resolve,[status(thm)],[c_4783,c_3832]) ).
cnf(c_4796,plain,
cyclic(sK2,A,sK3,sK3),
inference(resolve,[status(thm)],[c_4783,c_2940]) ).
cnf(c_4920,plain,
( cong(sK2,A,sK2,A)
| ~ cyclic(sK2,A,sK3,A)
| ~ cyclic(sK2,A,sK3,sK2) ),
inference(resolve,[status(thm)],[c_4796,c_2941]) ).
cnf(c_4921,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ cyclic(sK2,sK2,sK3,sK2) ),
inference(resolve,[status(thm)],[c_4796,c_2936]) ).
cnf(c_14756,plain,
( coll(B,C,A)
| ~ coll(A,A,B) ),
inference(resolve,[status(thm)],[c_4783,c_278]) ).
cnf(c_5066,plain,
coll(A,B,C),
inference(resolve,[status(thm)],[c_4783,c_14756]) ).
cnf(c_5077,plain,
( midp(D,B,E)
| ~ para(A,D,C,E)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_5066,c_236]) ).
cnf(c_5207,plain,
cyclic(A,sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_4791,c_329]) ).
cnf(c_5209,plain,
cyclic(sK3,sK2,A,sK2),
inference(resolve,[status(thm)],[c_4791,c_267]) ).
cnf(c_5210,plain,
cyclic(A,sK3,sK2,sK2),
inference(resolve,[status(thm)],[c_4791,c_266]) ).
cnf(c_5260,plain,
cyclic(sK7,sK6,A,sK6),
inference(resolve,[status(thm)],[c_4794,c_267]) ).
cnf(c_5329,plain,
cyclic(sK2,A,sK2,sK2),
inference(resolve,[status(thm)],[c_5207,c_266]) ).
cnf(c_5342,plain,
cyclic(sK3,sK2,sK2,A),
inference(resolve,[status(thm)],[c_5209,c_268]) ).
cnf(c_5343,plain,
cyclic(sK2,sK3,A,sK2),
inference(resolve,[status(thm)],[c_5209,c_266]) ).
cnf(c_5361,plain,
cyclic(A,sK2,sK3,sK2),
inference(resolve,[status(thm)],[c_5210,c_267]) ).
cnf(c_5373,plain,
cong(sK2,sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_5361,c_4921]) ).
cnf(c_5485,plain,
cyclic(sK6,sK7,A,sK6),
inference(resolve,[status(thm)],[c_5260,c_266]) ).
cnf(c_5624,plain,
cyclic(sK2,sK2,A,sK2),
inference(resolve,[status(thm)],[c_5329,c_267]) ).
cnf(c_5625,plain,
( cyclic(A,sK2,B,sK2)
| ~ cyclic(sK2,A,sK2,B) ),
inference(resolve,[status(thm)],[c_5329,c_265]) ).
cnf(c_5636,plain,
( eqangle(sK2,B,sK2,A,sK2,sK2,sK2,A)
| ~ perp(sK1(sK2,A,sK2,sK2),sK2,sK2,B)
| ~ perp(sK2,sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_5329,c_139]) ).
cnf(c_5637,plain,
cyclic(sK2,sK2,A,A),
inference(resolve,[status(thm)],[c_5342,c_329]) ).
cnf(c_14757,plain,
( cyclic(sK2,sK2,A,B)
| ~ cyclic(sK3,sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_5342,c_265]) ).
cnf(c_5639,plain,
cyclic(sK2,sK2,A,B),
inference(resolve,[status(thm)],[c_5342,c_14757]) ).
cnf(c_5653,plain,
cyclic(sK2,A,sK3,sK2),
inference(resolve,[status(thm)],[c_5343,c_267]) ).
cnf(c_5669,plain,
( cong(sK2,A,sK2,A)
| ~ cyclic(sK2,A,sK3,A) ),
inference(resolve,[status(thm)],[c_5653,c_4920]) ).
cnf(c_5823,plain,
( perp(sK2,sK2,sK2,A)
| ~ cong(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_5373,c_230]) ).
cnf(c_6277,plain,
cyclic(sK6,A,sK7,sK6),
inference(resolve,[status(thm)],[c_5485,c_267]) ).
cnf(c_14758,plain,
( cyclic(sK2,A,sK2,B)
| ~ cyclic(sK2,sK2,A,B) ),
inference(resolve,[status(thm)],[c_5624,c_265]) ).
cnf(c_6582,plain,
cyclic(sK2,A,sK2,B),
inference(resolve,[status(thm)],[c_5639,c_14758]) ).
cnf(c_6595,plain,
cyclic(A,sK2,B,sK2),
inference(resolve,[status(thm)],[c_6582,c_5625]) ).
cnf(c_6597,plain,
( perp(A,sK2,sK2,A)
| ~ cong(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_5637,c_323]) ).
cnf(c_14759,plain,
( cyclic(sK2,A,B,A)
| ~ cyclic(sK2,sK2,A,B) ),
inference(resolve,[status(thm)],[c_5637,c_265]) ).
cnf(c_6598,plain,
cyclic(sK2,A,B,A),
inference(resolve,[status(thm)],[c_5639,c_14759]) ).
cnf(c_6611,plain,
cong(sK2,A,sK2,A),
inference(resolve,[status(thm)],[c_6598,c_5669]) ).
cnf(c_6612,plain,
perp(A,sK2,sK2,A),
inference(resolve,[status(thm)],[c_6611,c_6597]) ).
cnf(c_6614,plain,
perp(sK2,sK2,sK2,A),
inference(resolve,[status(thm)],[c_6611,c_5823]) ).
cnf(c_6628,plain,
( eqangle(sK2,B,sK2,A,sK2,sK2,sK2,A)
| ~ perp(sK1(sK2,A,sK2,sK2),sK2,sK2,B) ),
inference(resolve,[status(thm)],[c_6614,c_5636]) ).
cnf(c_14760,plain,
( perp(A,sK2,sK2,B)
| ~ cong(sK2,B,sK2,B)
| ~ cong(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_5639,c_229]) ).
cnf(c_14761,plain,
( perp(B,sK2,sK2,A)
| ~ cong(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_6611,c_14760]) ).
cnf(c_6656,plain,
perp(A,sK2,sK2,B),
inference(resolve,[status(thm)],[c_6611,c_14761]) ).
cnf(c_14762,plain,
( eqangle(sK2,C,sK2,sK2,A,sK2,A,sK2)
| ~ perp(sK1(sK2,sK2,A,B),sK2,sK2,C)
| ~ perp(sK2,A,A,sK2) ),
inference(resolve,[status(thm)],[c_5639,c_139]) ).
cnf(c_6664,plain,
( eqangle(sK2,B,sK2,sK2,A,sK2,A,sK2)
| ~ perp(sK2,A,A,sK2) ),
inference(resolve,[status(thm)],[c_6656,c_14762]) ).
cnf(c_6670,plain,
eqangle(sK2,A,sK2,B,sK2,sK2,sK2,B),
inference(resolve,[status(thm)],[c_6656,c_6628]) ).
cnf(c_7238,plain,
eqangle(sK7,sK6,sK7,A,sK6,sK6,sK6,A),
inference(resolve,[status(thm)],[c_6277,c_241]) ).
cnf(c_7516,plain,
eqangle(A,B,A,sK2,sK2,B,sK2,sK2),
inference(resolve,[status(thm)],[c_6595,c_241]) ).
cnf(c_7542,plain,
eqangle(A,sK2,A,B,B,sK2,B,B),
inference(resolve,[status(thm)],[c_6598,c_241]) ).
cnf(c_7592,plain,
cong(sK2,A,A,sK2),
inference(resolve,[status(thm)],[c_6611,c_259]) ).
cnf(c_7593,plain,
eqangle(sK2,A,A,A,A,A,sK2,A),
inference(resolve,[status(thm)],[c_6611,c_235]) ).
cnf(c_14763,plain,
( perp(sK2,sK2,A,B)
| ~ cong(sK2,A,sK2,A) ),
inference(resolve,[status(thm)],[c_6611,c_230]) ).
cnf(c_7594,plain,
perp(sK2,sK2,A,B),
inference(resolve,[status(thm)],[c_6611,c_14763]) ).
cnf(c_7596,plain,
( ~ cong(sK2,B,sK2,C)
| eqangle(B,B,B,C,sK2,B,sK2,A)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_6611,c_174]) ).
cnf(c_7628,plain,
perp(sK2,A,A,sK2),
inference(resolve,[status(thm)],[c_6612,c_273]) ).
cnf(c_7642,plain,
eqangle(sK2,A,sK2,sK2,B,sK2,B,sK2),
inference(resolve,[status(thm)],[c_7628,c_6664]) ).
cnf(c_8711,plain,
cong(A,sK2,sK2,A),
inference(resolve,[status(thm)],[c_7592,c_258]) ).
cnf(c_8713,plain,
perp(A,B,sK2,sK2),
inference(resolve,[status(thm)],[c_7594,c_273]) ).
cnf(c_14764,plain,
( para(A,B,C,D)
| ~ perp(A,B,sK2,sK2) ),
inference(resolve,[status(thm)],[c_7594,c_272]) ).
cnf(c_8714,plain,
para(A,B,C,D),
inference(resolve,[status(thm)],[c_8713,c_14764]) ).
cnf(c_8727,plain,
( midp(D,B,E)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_8714,c_5077]) ).
cnf(c_8730,plain,
eqangle(A,B,C,D,E,F,C,D),
inference(resolve,[status(thm)],[c_8714,c_242]) ).
cnf(c_14765,plain,
( midp(A,E,D)
| ~ para(B,D,C,E)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_8714,c_222]) ).
cnf(c_8731,plain,
( midp(A,D,E)
| ~ midp(A,B,C) ),
inference(resolve,[status(thm)],[c_8714,c_14765]) ).
cnf(c_9110,plain,
cong(A,sK2,A,sK2),
inference(resolve,[status(thm)],[c_8711,c_259]) ).
cnf(c_14766,plain,
( cong(sK2,sK3,sK3,sK3)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(resolve,[status(thm)],[c_2954,c_212]) ).
cnf(c_10181,plain,
cong(sK2,sK3,sK3,sK3),
inference(resolve,[status(thm)],[c_9110,c_14766]) ).
cnf(c_10182,plain,
cong(sK3,sK3,sK2,sK3),
inference(resolve,[status(thm)],[c_10181,c_258]) ).
cnf(c_10185,plain,
cong(sK3,sK3,sK3,sK2),
inference(resolve,[status(thm)],[c_10182,c_259]) ).
cnf(c_10189,plain,
midp(sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_10185,c_2937]) ).
cnf(c_10195,plain,
midp(sK2,A,B),
inference(resolve,[status(thm)],[c_10189,c_8731]) ).
cnf(c_10350,plain,
midp(A,B,C),
inference(resolve,[status(thm)],[c_10195,c_8727]) ).
cnf(c_10354,plain,
cong(sK2,A,sK2,B),
inference(resolve,[status(thm)],[c_10195,c_218]) ).
cnf(c_14767,plain,
( ~ cong(sK2,A,sK2,B)
| eqangle(A,A,A,B,sK2,A,sK2,C) ),
inference(resolve,[status(thm)],[c_10350,c_7596]) ).
cnf(c_10546,plain,
eqangle(A,A,A,B,sK2,A,sK2,C),
inference(resolve,[status(thm)],[c_10354,c_14767]) ).
cnf(c_12127,plain,
( eqangle(sK2,F,sK2,A,B,C,D,E)
| ~ eqangle(sK2,sK2,sK2,A,B,C,D,E) ),
inference(resolve,[status(thm)],[c_6670,c_260]) ).
cnf(c_12258,plain,
eqangle(sK6,sK7,sK7,A,sK6,sK6,sK6,A),
inference(resolve,[status(thm)],[c_7238,c_264]) ).
cnf(c_12399,plain,
eqangle(A,B,B,sK2,sK2,A,sK2,sK2),
inference(resolve,[status(thm)],[c_7516,c_264]) ).
cnf(c_12400,plain,
eqangle(A,B,sK2,B,A,sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_7516,c_261]) ).
cnf(c_12402,plain,
( eqangle(F,A,F,sK2,B,C,D,E)
| ~ eqangle(sK2,A,sK2,sK2,B,C,D,E) ),
inference(resolve,[status(thm)],[c_7516,c_260]) ).
cnf(c_12406,plain,
( eqangle(F,sK2,F,A,B,C,D,E)
| ~ eqangle(A,sK2,A,A,B,C,D,E) ),
inference(resolve,[status(thm)],[c_7542,c_260]) ).
cnf(c_12411,plain,
eqangle(A,sK2,A,A,A,A,sK2,A),
inference(resolve,[status(thm)],[c_7593,c_264]) ).
cnf(c_12447,plain,
( eqangle(sK2,F,sK2,sK2,B,C,D,E)
| ~ eqangle(A,sK2,A,sK2,B,C,D,E) ),
inference(resolve,[status(thm)],[c_7642,c_260]) ).
cnf(c_12822,plain,
eqangle(sK3,sK8,sK6,sK7,A,B,C,D),
inference(resolve,[status(thm)],[c_8730,c_2524]) ).
cnf(c_12835,plain,
eqangle(A,B,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_12822,c_4706]) ).
cnf(c_12862,plain,
eqangle(sK2,A,sK2,sK2,B,C,D,E),
inference(resolve,[status(thm)],[c_12835,c_12447]) ).
cnf(c_12894,plain,
eqangle(A,B,A,sK2,C,D,E,F),
inference(resolve,[status(thm)],[c_12862,c_12402]) ).
cnf(c_13140,plain,
( eqangle(A,A,A,V6,C,D,E,F)
| ~ eqangle(sK2,A,sK2,B,C,D,E,F) ),
inference(resolve,[status(thm)],[c_10546,c_260]) ).
cnf(c_14612,plain,
( eqangle(sK6,sK7,sK7,A,B,C,D,E)
| ~ eqangle(sK6,sK6,sK6,A,B,C,D,E) ),
inference(resolve,[status(thm)],[c_12258,c_260]) ).
cnf(c_14768,plain,
( eqangle(A,F,F,sK2,B,C,D,E)
| ~ eqangle(sK2,A,sK2,sK2,B,C,D,E) ),
inference(resolve,[status(thm)],[c_12399,c_260]) ).
cnf(c_14722,plain,
eqangle(A,B,B,sK2,C,D,E,F),
inference(resolve,[status(thm)],[c_12894,c_14768]) ).
cnf(c_14769,plain,
( eqangle(A,F,sK2,F,B,C,D,E)
| ~ eqangle(A,sK2,sK2,sK2,B,C,D,E) ),
inference(resolve,[status(thm)],[c_12400,c_260]) ).
cnf(c_14724,plain,
eqangle(A,B,sK2,B,C,D,E,F),
inference(resolve,[status(thm)],[c_14722,c_14769]) ).
cnf(c_14770,plain,
( eqangle(A,sK2,A,A,B,C,D,E)
| ~ eqangle(A,A,sK2,A,B,C,D,E) ),
inference(resolve,[status(thm)],[c_12411,c_260]) ).
cnf(c_14735,plain,
eqangle(A,sK2,A,A,B,C,D,E),
inference(resolve,[status(thm)],[c_14724,c_14770]) ).
cnf(c_14737,plain,
eqangle(A,sK2,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_14735,c_12406]) ).
cnf(c_14738,plain,
eqangle(sK2,A,sK2,B,C,D,E,F),
inference(resolve,[status(thm)],[c_14737,c_12127]) ).
cnf(c_14744,plain,
eqangle(A,A,A,B,C,D,E,F),
inference(resolve,[status(thm)],[c_14738,c_13140]) ).
cnf(c_14751,plain,
eqangle(sK6,sK7,sK7,A,B,C,D,E),
inference(resolve,[status(thm)],[c_14744,c_14612]) ).
cnf(c_14752,plain,
$false,
inference(resolve,[status(thm)],[c_14751,c_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO596+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n003.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Fri Sep 25 13:45:22 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.45 % Process 295655 was started by sandbox2 on n003,
% 0.17/0.45 % Fri Sep 25 13:45:22 2026
% 0.17/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.49
% 0.17/0.49 % From the command line: assign(max_seconds, 300).
% 35.02/4.97
% 35.02/4.97 % given #500 (T,wt=9): 1041 coll(c6,c1,c7). [resolve(975,a,279,a)].
% 35.02/4.97
% 35.02/4.97 % given #1000 (W,wt=13): 1067 -coll(c3,c1,A) | coll(A,c2,c3). [resolve(996,a,278,b)].
% 35.02/4.97
% 35.02/4.97 % given #1500 (T,wt=13): 1749 -midp(A,c1,c1) | midp(A,c5,c5). [resolve(917,a,320,b)].
% 35.02/4.97
% 35.02/4.97 % given #2000 (A,wt=25): 1914 -midp(c7,c7,c1) | coll(f8(c7,c1,A,c6,c5,c6,c7),c7,c5). [resolve(654,b,1766,a),unit_del(b,513)].
% 35.02/4.97
% 35.02/4.97 % given #2500 (T,wt=10): 8870 perp(c5,A,c7,c6). [resolve(8219,a,273,a)].
% 35.02/4.97
% 35.02/4.97 % given #3000 (A,wt=20): 2858 coll(f20(c1,c5,c7,c6,c1,c4),c7,c6). [resolve(1057,a,2579,a)].
% 35.02/4.97
% 35.02/4.97 % given #3500 (T,wt=14): 10097 eqratio(c1,c7,c5,c6,c1,c1,c1,c5). [resolve(2846,a,253,a)].
% 35.02/4.97
% 35.02/4.97 % given #4000 (A,wt=33): 4136 perp(c6,c5,f17(f12(c1,c5,c8,c4),c4,c1,c6,c5),f12(c1,c5,c8,c4)). [resolve(1573,a,273,a)].
% 35.02/4.97
% 35.02/4.97 % given #4500 (W,wt=14): 12334 eqangle(c1,c5,c7,c6,c3,c1,c3,c2). [resolve(7389,a,2524,a)].
% 35.02/4.97
% 35.02/4.97 % SZS status Theorem for theBenchmark
% 35.02/4.97
% 35.02/4.97 % Proof 1 at 3.32 (+ 1.08) seconds.
% 35.02/4.97 % Length of proof is 208.
% 35.02/4.97 % Level of proof is 31.
% 35.02/4.97 % Maximum clause weight is 38.000.
% 35.02/4.97 % Given clauses 4555.
% 35.02/4.97
% 35.02/4.97 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------