%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO578+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 : n026.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 07:18:09 AM UTC 2026
% Result : Theorem 11.39s 1.98s
% Output : CNFRefutation 11.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 131 ( 63 unt; 0 def)
% Number of atoms : 245 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 180 ( 66 ~; 62 |; 30 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 237 ( 1 sgn 107 !; 5 ?)
% 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(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(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(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(ruleD64,axiom,
! [A,B,C,D,M] :
( ( para(A,D,B,C)
& para(A,C,B,D)
& midp(M,A,B) )
=> midp(M,C,D) ),
file('theBenchmark.p',ruleD64) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('theBenchmark.p',ruleD66) ).
fof(ruleD67,axiom,
! [A,B,C] :
( ( coll(A,B,C)
& cong(A,B,A,C) )
=> midp(A,B,C) ),
file('theBenchmark.p',ruleD67) ).
fof(ruleD68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('theBenchmark.p',ruleD68) ).
fof(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(exemplo6GDDFULL214040,conjecture,
! [A,B,C,I,E] :
( ( coll(E,A,C)
& para(A,B,E,I)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) )
=> cong(E,I,E,A) ),
file('theBenchmark.p',exemplo6GDDFULL214040) ).
fof(exemplo6GDDFULL214040_neg,negated_conjecture,
~ ! [A,B,C,I,E] :
( ( coll(E,A,C)
& para(A,B,E,I)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) )
=> cong(E,I,E,A) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214040]) ).
fof(nnf_95,plain,
? [A,B,C,I,E] :
( ~ cong(E,I,E,A)
& coll(E,A,C)
& para(A,B,E,I)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) ),
inference(fof_nnf,[status(thm)],[exemplo6GDDFULL214040_neg]) ).
fof(sk_exemplo6GDDFULL214040_neg,plain,
( ~ cong(sK0,sK1,sK0,sK2)
& coll(sK0,sK2,sK3)
& para(sK2,sK4,sK0,sK1)
& eqangle(sK1,sK3,sK3,sK2,sK1,sK3,sK3,sK4)
& eqangle(sK1,sK4,sK4,sK3,sK1,sK4,sK4,sK2)
& eqangle(sK1,sK2,sK2,sK4,sK1,sK2,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK4,sK3,sK0]),skolemize(A,sK2),skolemize(B,sK4),skolemize(C,sK3),skolemize(I,sK1),skolemize(E,sK0)],[nnf_95]) ).
cnf(c_147,negated_conjecture,
~ cong(sK0,sK1,sK0,sK2),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214040_neg]) ).
cnf(c_148,negated_conjecture,
coll(sK0,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214040_neg]) ).
cnf(c_149,negated_conjecture,
para(sK2,sK4,sK0,sK1),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214040_neg]) ).
cnf(c_151,negated_conjecture,
eqangle(sK1,sK4,sK4,sK3,sK1,sK4,sK4,sK2),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214040_neg]) ).
cnf(c_152,negated_conjecture,
eqangle(sK1,sK2,sK2,sK4,sK1,sK2,sK2,sK3),
inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL214040_neg]) ).
cnf(c_185,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_189,plain,
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(clausify,[status(thm)],[ruleD68]) ).
cnf(c_190,plain,
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD67]) ).
cnf(c_191,plain,
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(clausify,[status(thm)],[ruleD66]) ).
cnf(c_193,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_207,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_209,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_210,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_213,plain,
( eqangle(A,B,E,F,C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD40]) ).
cnf(c_214,plain,
( para(A,B,E,F)
| ~ eqangle(A,B,C,D,E,F,C,D) ),
inference(clausify,[status(thm)],[ruleD39]) ).
cnf(c_232,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_234,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_238,plain,
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD15]) ).
cnf(c_239,plain,
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD14]) ).
cnf(c_246,plain,
( para(A,B,E,F)
| ~ para(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD6]) ).
cnf(c_247,plain,
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD5]) ).
cnf(c_248,plain,
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(clausify,[status(thm)],[ruleD4]) ).
cnf(c_249,plain,
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD3]) ).
cnf(c_250,plain,
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD2]) ).
cnf(c_251,plain,
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(clausify,[status(thm)],[ruleD1]) ).
cnf(c_291,plain,
( midp(A,D,D)
| ~ para(B,D,C,D)
| ~ midp(A,B,C) ),
inference(factor,[status(thm)],[c_193]) ).
cnf(c_305,plain,
( coll(C,C,A)
| ~ coll(A,B,C) ),
inference(factor,[status(thm)],[c_249]) ).
cnf(c_341,plain,
eqangle(sK1,sK2,sK1,sK2,sK2,sK4,sK2,sK3),
inference(resolve,[status(thm)],[c_232,c_152]) ).
cnf(c_342,plain,
eqangle(sK1,sK4,sK1,sK4,sK4,sK3,sK4,sK2),
inference(resolve,[status(thm)],[c_232,c_151]) ).
cnf(c_347,plain,
eqangle(sK2,sK4,sK1,sK2,sK2,sK3,sK1,sK2),
inference(resolve,[status(thm)],[c_234,c_152]) ).
cnf(c_348,plain,
eqangle(sK4,sK3,sK1,sK4,sK4,sK2,sK1,sK4),
inference(resolve,[status(thm)],[c_234,c_151]) ).
cnf(c_356,plain,
para(sK0,sK1,sK2,sK4),
inference(resolve,[status(thm)],[c_247,c_149]) ).
cnf(c_357,plain,
para(sK2,sK4,sK1,sK0),
inference(resolve,[status(thm)],[c_248,c_149]) ).
cnf(c_14795,negated_conjecture,
( coll(sK3,A,sK0)
| ~ coll(sK0,sK2,A) ),
inference(resolve,[status(thm)],[c_249,c_148]) ).
cnf(c_360,negated_conjecture,
coll(sK3,sK3,sK0),
inference(resolve,[status(thm)],[c_14795,c_148]) ).
cnf(c_361,plain,
coll(sK2,sK0,sK3),
inference(resolve,[status(thm)],[c_250,c_148]) ).
cnf(c_362,plain,
coll(sK0,sK3,sK2),
inference(resolve,[status(thm)],[c_251,c_148]) ).
cnf(c_365,plain,
coll(sK0,sK0,sK3),
inference(resolve,[status(thm)],[c_360,c_305]) ).
cnf(c_370,plain,
coll(sK2,sK3,sK0),
inference(resolve,[status(thm)],[c_361,c_251]) ).
cnf(c_373,plain,
coll(sK2,sK2,sK0),
inference(resolve,[status(thm)],[c_362,c_305]) ).
cnf(c_377,plain,
coll(sK0,sK3,sK0),
inference(resolve,[status(thm)],[c_365,c_251]) ).
cnf(c_388,plain,
coll(sK0,sK0,sK2),
inference(resolve,[status(thm)],[c_370,c_305]) ).
cnf(c_392,plain,
coll(sK2,sK0,sK2),
inference(resolve,[status(thm)],[c_373,c_251]) ).
cnf(c_14796,plain,
( coll(sK2,A,sK0)
| ~ coll(sK0,sK3,A) ),
inference(resolve,[status(thm)],[c_249,c_362]) ).
cnf(c_402,plain,
coll(sK2,sK0,sK0),
inference(resolve,[status(thm)],[c_14796,c_377]) ).
cnf(c_416,plain,
coll(sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_392,c_305]) ).
cnf(c_14797,negated_conjecture,
( para(sK2,sK4,A,B)
| ~ para(sK0,sK1,A,B) ),
inference(resolve,[status(thm)],[c_246,c_149]) ).
cnf(c_454,negated_conjecture,
para(sK2,sK4,sK2,sK4),
inference(resolve,[status(thm)],[c_14797,c_356]) ).
cnf(c_14798,plain,
( para(sK0,sK1,A,B)
| ~ para(sK2,sK4,A,B) ),
inference(resolve,[status(thm)],[c_246,c_356]) ).
cnf(c_455,negated_conjecture,
para(sK0,sK1,sK0,sK1),
inference(resolve,[status(thm)],[c_14798,c_149]) ).
cnf(c_461,plain,
para(sK1,sK0,sK2,sK4),
inference(resolve,[status(thm)],[c_357,c_247]) ).
cnf(c_501,plain,
eqangle(sK2,sK4,A,B,sK2,sK4,A,B),
inference(resolve,[status(thm)],[c_454,c_213]) ).
cnf(c_504,plain,
coll(sK2,sK4,sK4),
inference(resolve,[status(thm)],[c_454,c_191]) ).
cnf(c_513,plain,
coll(sK4,sK4,sK2),
inference(resolve,[status(thm)],[c_504,c_305]) ).
cnf(c_520,plain,
coll(sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_513,c_305]) ).
cnf(c_14799,plain,
( coll(sK4,A,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_249,c_520]) ).
cnf(c_537,plain,
coll(sK4,sK2,sK2),
inference(resolve,[status(thm)],[c_14799,c_416]) ).
cnf(c_14800,plain,
( coll(sK4,A,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_249,c_520]) ).
cnf(c_539,plain,
coll(sK4,sK0,sK2),
inference(resolve,[status(thm)],[c_14800,c_373]) ).
cnf(c_561,plain,
coll(sK4,sK2,sK0),
inference(resolve,[status(thm)],[c_539,c_251]) ).
cnf(c_603,plain,
coll(sK0,sK0,sK4),
inference(resolve,[status(thm)],[c_561,c_305]) ).
cnf(c_678,plain,
coll(sK0,sK1,sK1),
inference(resolve,[status(thm)],[c_455,c_191]) ).
cnf(c_685,plain,
coll(sK1,sK1,sK0),
inference(resolve,[status(thm)],[c_678,c_305]) ).
cnf(c_692,plain,
coll(sK0,sK0,sK1),
inference(resolve,[status(thm)],[c_685,c_305]) ).
cnf(c_14801,plain,
( coll(sK4,A,sK0)
| ~ coll(sK0,sK0,A) ),
inference(resolve,[status(thm)],[c_249,c_603]) ).
cnf(c_703,plain,
coll(sK4,sK1,sK0),
inference(resolve,[status(thm)],[c_14801,c_692]) ).
cnf(c_14802,plain,
( coll(sK2,A,sK0)
| ~ coll(sK0,sK0,A) ),
inference(resolve,[status(thm)],[c_249,c_388]) ).
cnf(c_704,plain,
coll(sK2,sK1,sK0),
inference(resolve,[status(thm)],[c_14802,c_692]) ).
cnf(c_717,plain,
coll(sK4,sK0,sK1),
inference(resolve,[status(thm)],[c_703,c_251]) ).
cnf(c_722,plain,
coll(sK2,sK0,sK1),
inference(resolve,[status(thm)],[c_704,c_251]) ).
cnf(c_744,plain,
coll(sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_717,c_305]) ).
cnf(c_14803,plain,
( coll(sK0,A,sK2)
| ~ coll(sK2,sK0,A) ),
inference(resolve,[status(thm)],[c_249,c_402]) ).
cnf(c_766,plain,
coll(sK0,sK1,sK2),
inference(resolve,[status(thm)],[c_14803,c_722]) ).
cnf(c_1193,plain,
para(sK1,sK0,sK4,sK2),
inference(resolve,[status(thm)],[c_461,c_248]) ).
cnf(c_1834,plain,
( para(sK1,sK2,sK1,sK2)
| ~ para(sK2,sK4,sK2,sK3) ),
inference(resolve,[status(thm)],[c_341,c_185]) ).
cnf(c_1913,plain,
( para(sK1,sK4,sK1,sK4)
| ~ para(sK4,sK3,sK4,sK2) ),
inference(resolve,[status(thm)],[c_342,c_185]) ).
cnf(c_1950,plain,
para(sK2,sK4,sK2,sK3),
inference(resolve,[status(thm)],[c_347,c_214]) ).
cnf(c_1953,plain,
para(sK1,sK2,sK1,sK2),
inference(resolve,[status(thm)],[c_1950,c_1834]) ).
cnf(c_2037,plain,
para(sK1,sK2,sK2,sK1),
inference(resolve,[status(thm)],[c_1953,c_248]) ).
cnf(c_2402,plain,
para(sK4,sK3,sK4,sK2),
inference(resolve,[status(thm)],[c_348,c_214]) ).
cnf(c_2405,plain,
para(sK1,sK4,sK1,sK4),
inference(resolve,[status(thm)],[c_2402,c_1913]) ).
cnf(c_2481,plain,
para(sK2,sK1,sK1,sK2),
inference(resolve,[status(thm)],[c_2037,c_247]) ).
cnf(c_3282,plain,
para(sK1,sK4,sK4,sK1),
inference(resolve,[status(thm)],[c_2405,c_248]) ).
cnf(c_3351,plain,
para(sK2,sK1,sK2,sK1),
inference(resolve,[status(thm)],[c_2481,c_248]) ).
cnf(c_4362,plain,
para(sK4,sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_3282,c_247]) ).
cnf(c_4429,plain,
( midp(A,sK1,sK1)
| ~ midp(A,sK2,sK2) ),
inference(resolve,[status(thm)],[c_3351,c_291]) ).
cnf(c_6380,plain,
( cong(sK4,A,sK4,A)
| ~ cyclic(sK4,A,sK2,sK2)
| ~ cyclic(sK4,A,sK2,A)
| ~ cyclic(sK4,A,sK2,sK4) ),
inference(resolve,[status(thm)],[c_501,c_209]) ).
cnf(c_14804,plain,
( cyclic(sK4,A,sK2,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_210,c_501]) ).
cnf(c_6389,plain,
cyclic(sK4,sK4,sK2,sK2),
inference(resolve,[status(thm)],[c_14804,c_520]) ).
cnf(c_14805,plain,
( cyclic(sK4,A,sK2,sK2)
| ~ coll(sK2,sK2,A) ),
inference(resolve,[status(thm)],[c_210,c_501]) ).
cnf(c_6390,plain,
cyclic(sK4,sK2,sK2,sK2),
inference(resolve,[status(thm)],[c_14805,c_416]) ).
cnf(c_14806,plain,
( cong(sK4,sK2,sK4,sK2)
| ~ cyclic(sK4,sK2,sK2,sK2)
| ~ cyclic(sK4,sK2,sK2,sK4) ),
inference(factor,[status(thm)],[c_6380]) ).
cnf(c_6394,plain,
( cong(sK4,sK2,sK4,sK2)
| ~ cyclic(sK4,sK2,sK2,sK4) ),
inference(resolve,[status(thm)],[c_6390,c_14806]) ).
cnf(c_6425,plain,
cyclic(sK4,sK2,sK4,sK2),
inference(resolve,[status(thm)],[c_6389,c_238]) ).
cnf(c_6579,plain,
cyclic(sK4,sK2,sK2,sK4),
inference(resolve,[status(thm)],[c_6425,c_239]) ).
cnf(c_6601,plain,
cong(sK4,sK2,sK4,sK2),
inference(resolve,[status(thm)],[c_6579,c_6394]) ).
cnf(c_14807,plain,
( midp(sK4,sK2,sK2)
| ~ coll(sK4,sK2,sK2) ),
inference(resolve,[status(thm)],[c_6601,c_190]) ).
cnf(c_6970,plain,
midp(sK4,sK2,sK2),
inference(resolve,[status(thm)],[c_537,c_14807]) ).
cnf(c_7004,plain,
midp(sK4,sK1,sK1),
inference(resolve,[status(thm)],[c_6970,c_4429]) ).
cnf(c_14808,plain,
( midp(A,sK1,B)
| ~ coll(A,sK1,B)
| ~ para(sK4,A,sK1,B) ),
inference(resolve,[status(thm)],[c_207,c_7004]) ).
cnf(c_14809,plain,
( midp(sK1,sK1,sK4)
| ~ coll(sK1,sK1,sK4) ),
inference(resolve,[status(thm)],[c_14808,c_4362]) ).
cnf(c_7121,plain,
midp(sK1,sK1,sK4),
inference(resolve,[status(thm)],[c_14809,c_744]) ).
cnf(c_14810,plain,
( midp(A,sK1,B)
| ~ coll(A,sK1,B)
| ~ para(sK1,A,sK4,B) ),
inference(resolve,[status(thm)],[c_207,c_7121]) ).
cnf(c_14811,plain,
( midp(sK0,sK1,sK2)
| ~ coll(sK0,sK1,sK2) ),
inference(resolve,[status(thm)],[c_14810,c_1193]) ).
cnf(c_8087,plain,
midp(sK0,sK1,sK2),
inference(resolve,[status(thm)],[c_14811,c_766]) ).
cnf(c_14812,plain,
cong(sK0,sK1,sK0,sK2),
inference(resolve,[status(thm)],[c_8087,c_189]) ).
cnf(c_14794,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_147,c_14812]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO578+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 % Computer : n026.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Fri Sep 25 13:45:39 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.44 % Process 2659511 was started by sandbox on n026,
% 0.14/0.44 % Fri Sep 25 13:45:39 2026
% 0.14/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.47
% 0.14/0.47 % From the command line: assign(max_seconds, 300).
% 11.39/1.98
% 11.39/1.98 % given #500 (A,wt=15): 441 -para(c1,c2,A,B) | para(c5,c4,A,B). [resolve(356,a,246,a)].
% 11.39/1.98
% 11.39/1.98 % SZS status Theorem for theBenchmark
% 11.39/1.98
% 11.39/1.98 % Proof 1 at 1.10 (+ 0.37) seconds.
% 11.39/1.98 % Length of proof is 110.
% 11.39/1.98 % Level of proof is 15.
% 11.39/1.98 % Maximum clause weight is 34.000.
% 11.39/1.98 % Given clauses 817.
% 11.39/1.98
% 11.39/1.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------