%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO629+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:18:15 AM UTC 2026
% Result : Theorem 59.42s 8.00s
% Output : CNFRefutation 59.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of formulae : 106 ( 44 unt; 0 def)
% Number of atoms : 244 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 196 ( 58 ~; 54 |; 62 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 320 ( 35 sgn 128 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(ruleD21,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ),
file('theBenchmark.p',ruleD21) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('theBenchmark.p',ruleD40) ).
fof(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(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(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('theBenchmark.p',ruleD66) ).
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(exemplo6GDDFULL8110992,conjecture,
! [A,B,C,O,P1,F1,G1,P,F,G,K,NWPNT1,NWPNT2,NWPNT3] :
( ( circle(O,A,K,NWPNT3)
& para(F1,G1,K,P)
& coll(G,A,B)
& perp(G,P,A,B)
& coll(F,A,C)
& perp(F,P,A,C)
& circle(O,A,P,NWPNT2)
& coll(G1,A,B)
& perp(G1,P1,A,B)
& coll(F1,A,C)
& perp(F1,P1,A,C)
& circle(O,A,P1,NWPNT1)
& circle(O,A,B,C) )
=> para(K,P1,G,F) ),
file('theBenchmark.p',exemplo6GDDFULL8110992) ).
fof(exemplo6GDDFULL8110992_neg,negated_conjecture,
~ ! [A,B,C,O,P1,F1,G1,P,F,G,K,NWPNT1,NWPNT2,NWPNT3] :
( ( circle(O,A,K,NWPNT3)
& para(F1,G1,K,P)
& coll(G,A,B)
& perp(G,P,A,B)
& coll(F,A,C)
& perp(F,P,A,C)
& circle(O,A,P,NWPNT2)
& coll(G1,A,B)
& perp(G1,P1,A,B)
& coll(F1,A,C)
& perp(F1,P1,A,C)
& circle(O,A,P1,NWPNT1)
& circle(O,A,B,C) )
=> para(K,P1,G,F) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110992]) ).
fof(nnf_95,plain,
? [A,B,C,O,P1,F1,G1,P,F,G,K,NWPNT1,NWPNT2,NWPNT3] :
( ~ para(K,P1,G,F)
& circle(O,A,K,NWPNT3)
& para(F1,G1,K,P)
& coll(G,A,B)
& perp(G,P,A,B)
& coll(F,A,C)
& perp(F,P,A,C)
& circle(O,A,P,NWPNT2)
& coll(G1,A,B)
& perp(G1,P1,A,B)
& coll(F1,A,C)
& perp(F1,P1,A,C)
& circle(O,A,P1,NWPNT1)
& circle(O,A,B,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL8110992_neg]) ).
fof(sk_exemplo6GDDFULL8110992_neg,plain,
( ~ para(sK0,sK1,sK2,sK3)
& circle(sK9,sK7,sK0,sK13)
& para(sK4,sK5,sK0,sK6)
& coll(sK2,sK7,sK8)
& perp(sK2,sK6,sK7,sK8)
& coll(sK3,sK7,sK10)
& perp(sK3,sK6,sK7,sK10)
& circle(sK9,sK7,sK6,sK12)
& coll(sK5,sK7,sK8)
& perp(sK5,sK1,sK7,sK8)
& coll(sK4,sK7,sK10)
& perp(sK4,sK1,sK7,sK10)
& circle(sK9,sK7,sK1,sK11)
& circle(sK9,sK7,sK8,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK7,sK8,sK10,sK1,sK11,sK4,sK5,sK6,sK12,sK3,sK2,sK0,sK13]),skolemize(A,sK7),skolemize(B,sK8),skolemize(C,sK10),skolemize(O,sK9),skolemize(P1,sK1),skolemize(F1,sK4),skolemize(G1,sK5),skolemize(P,sK6),skolemize(F,sK3),skolemize(G,sK2),skolemize(K,sK0),skolemize(NWPNT1,sK11),skolemize(NWPNT2,sK12),skolemize(NWPNT3,sK13)],[nnf_95]) ).
cnf(c_207,negated_conjecture,
~ para(sK0,sK1,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110992_neg]) ).
cnf(c_208,negated_conjecture,
para(sK4,sK5,sK0,sK6),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110992_neg]) ).
cnf(c_214,negated_conjecture,
perp(sK5,sK1,sK7,sK8),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL8110992_neg]) ).
cnf(c_249,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_255,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_264,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_265,plain,
( perp(A,C,B,D)
| ~ cong(A,D,C,D)
| ~ cong(A,B,C,B) ),
inference(clausify,[status(thm)],[ruleD56]) ).
cnf(c_273,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_274,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_277,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_296,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_298,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_300,plain,
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD17]) ).
cnf(c_301,plain,
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD16]) ).
cnf(c_302,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_303,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_307,plain,
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD9]) ).
cnf(c_308,plain,
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD8]) ).
cnf(c_309,plain,
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD7]) ).
cnf(c_310,plain,
( para(A,B,E,F)
| ~ para(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD6]) ).
cnf(c_311,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_312,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_313,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_364,plain,
( cyclic(B,C,D,D)
| ~ cyclic(A,B,C,D) ),
inference(factor,[status(thm)],[c_300]) ).
cnf(c_369,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_313]) ).
cnf(c_517,plain,
eqangle(sK4,sK5,A,B,sK0,sK6,A,B),
inference(resolve,[status(thm)],[c_277,c_208]) ).
cnf(c_520,plain,
( para(sK5,sK1,A,B)
| ~ perp(sK7,sK8,A,B) ),
inference(resolve,[status(thm)],[c_307,c_214]) ).
cnf(c_536,plain,
perp(sK7,sK8,sK5,sK1),
inference(resolve,[status(thm)],[c_308,c_214]) ).
cnf(c_551,plain,
( para(sK4,sK5,A,B)
| ~ para(sK0,sK6,A,B) ),
inference(resolve,[status(thm)],[c_310,c_208]) ).
cnf(c_553,plain,
para(sK0,sK6,sK4,sK5),
inference(resolve,[status(thm)],[c_311,c_208]) ).
cnf(c_833,plain,
perp(sK7,sK8,sK1,sK5),
inference(resolve,[status(thm)],[c_536,c_309]) ).
cnf(c_933,plain,
para(sK0,sK6,sK5,sK4),
inference(resolve,[status(thm)],[c_553,c_312]) ).
cnf(c_1686,plain,
eqangle(A,B,sK4,sK5,A,B,sK0,sK6),
inference(resolve,[status(thm)],[c_517,c_298]) ).
cnf(c_1712,plain,
para(sK5,sK1,sK1,sK5),
inference(resolve,[status(thm)],[c_520,c_833]) ).
cnf(c_1714,plain,
para(sK5,sK1,sK5,sK1),
inference(resolve,[status(thm)],[c_520,c_536]) ).
cnf(c_1978,plain,
para(sK4,sK5,sK5,sK4),
inference(resolve,[status(thm)],[c_551,c_933]) ).
cnf(c_2533,plain,
para(sK1,sK5,sK5,sK1),
inference(resolve,[status(thm)],[c_1712,c_311]) ).
cnf(c_2564,plain,
eqangle(sK5,sK1,A,B,sK5,sK1,A,B),
inference(resolve,[status(thm)],[c_1714,c_277]) ).
cnf(c_3747,plain,
para(sK5,sK4,sK4,sK5),
inference(resolve,[status(thm)],[c_1978,c_311]) ).
cnf(c_3882,plain,
para(sK1,sK5,sK1,sK5),
inference(resolve,[status(thm)],[c_2533,c_312]) ).
cnf(c_4061,plain,
para(sK5,sK4,sK5,sK4),
inference(resolve,[status(thm)],[c_3747,c_312]) ).
cnf(c_4147,plain,
eqangle(sK1,sK5,A,B,sK1,sK5,A,B),
inference(resolve,[status(thm)],[c_3882,c_277]) ).
cnf(c_4295,plain,
eqangle(sK5,sK4,A,B,sK5,sK4,A,B),
inference(resolve,[status(thm)],[c_4061,c_277]) ).
cnf(c_6087,plain,
eqangle(A,B,A,B,sK4,sK5,sK0,sK6),
inference(resolve,[status(thm)],[c_1686,c_296]) ).
cnf(c_8710,plain,
( cyclic(sK1,A,sK5,sK5)
| ~ coll(sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_2564,c_274]) ).
cnf(c_8711,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK5,sK5)
| ~ cyclic(sK1,A,sK5,A)
| ~ cyclic(sK1,A,sK5,sK1) ),
inference(resolve,[status(thm)],[c_2564,c_273]) ).
cnf(c_16533,plain,
( cyclic(sK5,A,sK1,sK1)
| ~ coll(sK1,sK1,A) ),
inference(resolve,[status(thm)],[c_4147,c_274]) ).
cnf(c_16885,plain,
( cyclic(sK4,A,sK5,sK5)
| ~ coll(sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_4295,c_274]) ).
cnf(c_25613,plain,
( para(A,B,A,B)
| ~ para(sK4,sK5,sK0,sK6) ),
inference(resolve,[status(thm)],[c_6087,c_249]) ).
cnf(c_17187,negated_conjecture,
para(A,B,A,B),
inference(resolve,[status(thm)],[c_208,c_25613]) ).
cnf(c_17201,plain,
coll(A,B,B),
inference(resolve,[status(thm)],[c_17187,c_255]) ).
cnf(c_17702,plain,
coll(A,A,B),
inference(resolve,[status(thm)],[c_17201,c_369]) ).
cnf(c_17711,plain,
cyclic(sK4,A,sK5,sK5),
inference(resolve,[status(thm)],[c_17702,c_16885]) ).
cnf(c_17714,plain,
cyclic(sK5,A,sK1,sK1),
inference(resolve,[status(thm)],[c_17702,c_16533]) ).
cnf(c_17730,plain,
cyclic(sK1,A,sK5,sK5),
inference(resolve,[status(thm)],[c_17702,c_8710]) ).
cnf(c_18096,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK5,A)
| ~ cyclic(sK1,A,sK5,sK1) ),
inference(resolve,[status(thm)],[c_17730,c_8711]) ).
cnf(c_19278,plain,
cyclic(sK4,sK5,A,sK5),
inference(resolve,[status(thm)],[c_17711,c_302]) ).
cnf(c_19337,plain,
cyclic(A,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_17714,c_364]) ).
cnf(c_19339,plain,
cyclic(sK5,sK1,A,sK1),
inference(resolve,[status(thm)],[c_17714,c_302]) ).
cnf(c_19556,plain,
cyclic(sK1,sK5,A,sK5),
inference(resolve,[status(thm)],[c_17730,c_302]) ).
cnf(c_19697,plain,
cyclic(sK4,sK5,sK5,A),
inference(resolve,[status(thm)],[c_19278,c_303]) ).
cnf(c_19809,plain,
cyclic(sK1,A,sK1,sK1),
inference(resolve,[status(thm)],[c_19337,c_301]) ).
cnf(c_19823,plain,
cyclic(sK1,sK5,A,sK1),
inference(resolve,[status(thm)],[c_19339,c_301]) ).
cnf(c_20294,plain,
cyclic(sK5,sK1,A,sK5),
inference(resolve,[status(thm)],[c_19556,c_301]) ).
cnf(c_25614,plain,
( cyclic(sK5,sK5,A,B)
| ~ cyclic(sK4,sK5,sK5,A) ),
inference(resolve,[status(thm)],[c_19697,c_300]) ).
cnf(c_20653,plain,
cyclic(sK5,sK5,A,B),
inference(resolve,[status(thm)],[c_19697,c_25614]) ).
cnf(c_21154,plain,
cyclic(sK1,sK1,A,sK1),
inference(resolve,[status(thm)],[c_19809,c_302]) ).
cnf(c_21179,plain,
cyclic(sK1,A,sK5,sK1),
inference(resolve,[status(thm)],[c_19823,c_302]) ).
cnf(c_21193,plain,
( cong(sK1,A,sK1,A)
| ~ cyclic(sK1,A,sK5,A) ),
inference(resolve,[status(thm)],[c_21179,c_18096]) ).
cnf(c_22525,plain,
( cyclic(sK1,A,sK5,B)
| ~ cyclic(sK5,sK1,A,B) ),
inference(resolve,[status(thm)],[c_20294,c_300]) ).
cnf(c_25615,plain,
( cyclic(sK5,A,B,C)
| ~ cyclic(sK5,sK5,A,B) ),
inference(resolve,[status(thm)],[c_20653,c_300]) ).
cnf(c_22832,plain,
cyclic(sK5,A,B,C),
inference(resolve,[status(thm)],[c_20653,c_25615]) ).
cnf(c_22839,plain,
cyclic(sK1,A,sK5,B),
inference(resolve,[status(thm)],[c_22832,c_22525]) ).
cnf(c_22882,plain,
cong(sK1,A,sK1,A),
inference(resolve,[status(thm)],[c_22839,c_21193]) ).
cnf(c_25616,plain,
( perp(A,sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1)
| ~ cong(sK1,A,sK1,A) ),
inference(resolve,[status(thm)],[c_21154,c_264]) ).
cnf(c_25617,plain,
( perp(A,sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(resolve,[status(thm)],[c_22882,c_25616]) ).
cnf(c_23198,plain,
perp(A,sK1,sK1,sK1),
inference(resolve,[status(thm)],[c_22882,c_25617]) ).
cnf(c_25618,plain,
( perp(sK1,sK1,A,B)
| ~ cong(sK1,A,sK1,A) ),
inference(resolve,[status(thm)],[c_22882,c_265]) ).
cnf(c_24945,plain,
perp(sK1,sK1,A,B),
inference(resolve,[status(thm)],[c_22882,c_25618]) ).
cnf(c_25619,plain,
( para(C,sK1,A,B)
| ~ perp(sK1,sK1,A,B) ),
inference(resolve,[status(thm)],[c_23198,c_307]) ).
cnf(c_25611,plain,
para(A,sK1,B,C),
inference(resolve,[status(thm)],[c_24945,c_25619]) ).
cnf(c_25612,plain,
$false,
inference(resolve,[status(thm)],[c_25611,c_207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO629+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.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 13:46:04 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 3059509 was started by sandbox2 on n020,
% 0.08/0.37 % Fri Sep 25 13:46:04 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.41
% 0.13/0.41 % From the command line: assign(max_seconds, 300).
% 59.42/8.00
% 59.42/8.00 % given #500 (T,wt=9): 1379 coll(c1,c7,c10). [resolve(1375,a,606,a)].
% 59.42/8.00
% 59.42/8.00 % given #1000 (A,wt=13): 770 -coll(c6,c1,A) | coll(A,c6,c6). [resolve(699,a,313,b)].
% 59.42/8.00
% 59.42/8.00 % given #1500 (T,wt=13): 1363 -coll(c9,c1,A) | coll(A,c6,c9). [resolve(1347,a,313,b)].
% 59.42/8.00
% 59.42/8.00 % given #2000 (A,wt=23): 1132 -perp(c1,c7,c5,c2) | coll(f10(c5,c1,c2,c7),c2,c1). [resolve(979,a,227,a)].
% 59.42/8.00
% 59.42/8.00 % given #2500 (W,wt=13): 2250 -coll(c1,c5,A) | coll(c3,A,c1). [resolve(2232,a,313,a)].
% 59.42/8.00
% 59.42/8.00 % given #3000 (T,wt=9): 6956 coll(c6,c11,c6). [resolve(6772,a,1360,a)].
% 59.42/8.00
% 59.42/8.00 % given #3500 (W,wt=13): 2860 -coll(c8,c8,A) | coll(c10,A,c8). [resolve(2788,a,313,a)].
% 59.42/8.00
% 59.42/8.00 % given #4000 (T,wt=13): 4156 -midp(A,c8,c8) | midp(A,c9,c9). [resolve(3898,a,355,b)].
% 59.42/8.00
% 59.42/8.00 % given #4500 (A,wt=33): 3456 perp(f17(f12(c1,c11,c14,c4),c4,c1,c3,c3),f12(c1,c11,c14,c4),c3,c3). [resolve(3271,a,400,a)].
% 59.42/8.00
% 59.42/8.00 % given #5000 (T,wt=13): 6482 -coll(c5,c7,A) | coll(c4,A,c5). [resolve(6423,a,313,a)].
% 59.42/8.00
% 59.42/8.00 % given #5500 (A,wt=22): 3968 -coll(A,c5,c10) | -coll(A,c7,c8) | eqratio(A,c5,c5,c10,A,c7,c7,c8). [resolve(2979,a,256,a)].
% 59.42/8.00
% 59.42/8.00 % given #6000 (T,wt=13): 9679 -coll(c3,c11,A) | coll(A,c4,c3). [resolve(9660,a,313,b)].
% 59.42/8.00
% 59.42/8.00 % given #6500 (A,wt=19): 4470 eqangle(c2,c1,c2,A,A,c2,A,A) | -cong(c3,c2,c3,A). [resolve(4384,a,334,a)].
% 59.42/8.00
% 59.42/8.00 % given #7000 (W,wt=10): 22377 perp(c10,c10,c10,c10). [resolve(20247,a,359,a)].
% 59.42/8.00
% 59.42/8.00 % SZS status Theorem for theBenchmark
% 59.42/8.00
% 59.42/8.00 % Proof 1 at 5.67 (+ 1.84) seconds.
% 59.42/8.00 % Length of proof is 96.
% 59.42/8.00 % Level of proof is 18.
% 59.42/8.00 % Maximum clause weight is 34.000.
% 59.42/8.00 % Given clauses 7261.
% 59.42/8.00
% 59.42/8.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------