TSTP Solution File: GEO605+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO605+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:30:03 EDT 2024
% Result : Theorem 168.68s 24.47s
% Output : Refutation 168.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 33
% Syntax : Number of formulae : 244 ( 114 unt; 0 def)
% Number of atoms : 579 ( 0 equ)
% Maximal formula atoms : 30 ( 2 avg)
% Number of connectives : 489 ( 154 ~; 142 |; 145 &)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 614 ( 581 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1066022,plain,
$false,
inference(subsumption_resolution,[],[f1065979,f587853]) ).
fof(f587853,plain,
para(sK5,sK10,sK7,sK7),
inference(unit_resulting_resolution,[],[f91520,f555224,f440]) ).
fof(f440,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).
fof(f555224,plain,
midp(sK5,sK7,sK7),
inference(unit_resulting_resolution,[],[f32545,f32545,f551694,f442]) ).
fof(f442,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| midp(X4,X2,X3)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(f551694,plain,
midp(sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f1020,f32534,f551557,f441]) ).
fof(f441,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2)
| midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f551557,plain,
midp(sK7,sK5,sK5),
inference(unit_resulting_resolution,[],[f1319,f551498,f398]) ).
fof(f398,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f551498,plain,
cong(sK7,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f89635,f88469,f88397,f18262,f472]) ).
fof(f472,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f18262,plain,
! [X0,X1] : eqangle(sK6,sK7,X0,X1,sK6,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f11914,f460]) ).
fof(f460,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f11914,plain,
para(sK6,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f5465,f406]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5465,plain,
para(sK6,sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f511,f388,f439]) ).
fof(f439,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(f388,plain,
midp(sK14,sK7,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ perp(sK10,sK5,sK5,sK11)
& perp(sK7,sK6,sK14,sK11)
& midp(sK14,sK7,sK6)
& perp(sK5,sK6,sK13,sK11)
& midp(sK13,sK5,sK6)
& perp(sK5,sK7,sK12,sK11)
& midp(sK12,sK5,sK7)
& midp(sK10,sK9,sK8)
& coll(sK9,sK5,sK7)
& coll(sK8,sK6,sK7)
& perp(sK6,sK7,sK6,sK9)
& perp(sK5,sK7,sK5,sK8)
& eqangle(sK7,sK6,sK6,sK4,sK7,sK6,sK6,sK5)
& eqangle(sK7,sK5,sK5,sK6,sK7,sK5,sK5,sK4)
& eqangle(sK7,sK4,sK4,sK5,sK7,sK4,sK4,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X1,X1,X7)
& perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> ( ~ perp(sK10,sK5,sK5,sK11)
& perp(sK7,sK6,sK14,sK11)
& midp(sK14,sK7,sK6)
& perp(sK5,sK6,sK13,sK11)
& midp(sK13,sK5,sK6)
& perp(sK5,sK7,sK12,sK11)
& midp(sK12,sK5,sK7)
& midp(sK10,sK9,sK8)
& coll(sK9,sK5,sK7)
& coll(sK8,sK6,sK7)
& perp(sK6,sK7,sK6,sK9)
& perp(sK5,sK7,sK5,sK8)
& eqangle(sK7,sK6,sK6,sK4,sK7,sK6,sK6,sK5)
& eqangle(sK7,sK5,sK5,sK6,sK7,sK5,sK5,sK4)
& eqangle(sK7,sK4,sK4,sK5,sK7,sK4,sK4,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X1,X1,X7)
& perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X1,X1,X7)
& perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> perp(X6,X1,X1,X7) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X6,X1,X2,X18,X19,X20,X0,X7,X21,X22,X23] :
( ( perp(X18,X2,X23,X7)
& midp(X23,X18,X2)
& perp(X1,X2,X22,X7)
& midp(X22,X1,X2)
& perp(X1,X18,X21,X7)
& midp(X21,X1,X18)
& midp(X0,X20,X19)
& coll(X20,X1,X18)
& coll(X19,X2,X18)
& perp(X2,X18,X2,X20)
& perp(X1,X18,X1,X19)
& eqangle(X18,X2,X2,X6,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X6)
& eqangle(X18,X6,X6,X1,X18,X6,X6,X2) )
=> perp(X0,X1,X1,X7) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X6,X1,X2,X18,X19,X20,X0,X7,X21,X22,X23] :
( ( perp(X18,X2,X23,X7)
& midp(X23,X18,X2)
& perp(X1,X2,X22,X7)
& midp(X22,X1,X2)
& perp(X1,X18,X21,X7)
& midp(X21,X1,X18)
& midp(X0,X20,X19)
& coll(X20,X1,X18)
& coll(X19,X2,X18)
& perp(X2,X18,X2,X20)
& perp(X1,X18,X1,X19)
& eqangle(X18,X2,X2,X6,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X6)
& eqangle(X18,X6,X6,X1,X18,X6,X6,X2) )
=> perp(X0,X1,X1,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618067) ).
fof(f511,plain,
midp(sK14,sK6,sK7),
inference(unit_resulting_resolution,[],[f388,f391]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).
fof(f88397,plain,
cyclic(sK7,sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f1026,f18262,f421]) ).
fof(f421,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f1026,plain,
coll(sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f567,f567,f413]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f567,plain,
coll(sK5,sK13,sK6),
inference(unit_resulting_resolution,[],[f528,f395]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f528,plain,
coll(sK13,sK5,sK6),
inference(unit_resulting_resolution,[],[f386,f392]) ).
fof(f392,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).
fof(f386,plain,
midp(sK13,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f88469,plain,
cyclic(sK7,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f88368,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f88368,plain,
cyclic(sK7,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f1020,f18251,f421]) ).
fof(f18251,plain,
! [X0,X1] : eqangle(sK5,sK7,X0,X1,sK5,sK7,X0,X1),
inference(unit_resulting_resolution,[],[f11894,f460]) ).
fof(f11894,plain,
para(sK5,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f5458,f406]) ).
fof(f5458,plain,
para(sK5,sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f384,f509,f439]) ).
fof(f509,plain,
midp(sK12,sK7,sK5),
inference(unit_resulting_resolution,[],[f384,f391]) ).
fof(f384,plain,
midp(sK12,sK5,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f89635,plain,
cyclic(sK7,sK5,sK6,sK7),
inference(unit_resulting_resolution,[],[f88733,f402]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f88733,plain,
cyclic(sK5,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f88408,f404]) ).
fof(f88408,plain,
cyclic(sK5,sK6,sK7,sK7),
inference(unit_resulting_resolution,[],[f1035,f18276,f421]) ).
fof(f18276,plain,
! [X0,X1] : eqangle(sK7,sK5,X0,X1,sK7,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f11890,f460]) ).
fof(f11890,plain,
para(sK7,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f5457,f406]) ).
fof(f5457,plain,
para(sK7,sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f509,f384,f439]) ).
fof(f1035,plain,
coll(sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f573,f573,f413]) ).
fof(f573,plain,
coll(sK6,sK14,sK7),
inference(unit_resulting_resolution,[],[f531,f395]) ).
fof(f531,plain,
coll(sK14,sK6,sK7),
inference(unit_resulting_resolution,[],[f511,f392]) ).
fof(f1319,plain,
coll(sK7,sK5,sK5),
inference(unit_resulting_resolution,[],[f571,f1119,f413]) ).
fof(f1119,plain,
coll(sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f1023,f394]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f1023,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f545,f545,f413]) ).
fof(f545,plain,
coll(sK9,sK7,sK5),
inference(unit_resulting_resolution,[],[f382,f394]) ).
fof(f382,plain,
coll(sK9,sK5,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f571,plain,
coll(sK5,sK9,sK7),
inference(unit_resulting_resolution,[],[f382,f395]) ).
fof(f32534,plain,
para(sK7,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f26187,f29070,f476]) ).
fof(f476,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f29070,plain,
perp(sK12,sK12,sK5,sK6),
inference(unit_resulting_resolution,[],[f27264,f26267,f474]) ).
fof(f474,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f26267,plain,
perp(sK13,sK13,sK5,sK6),
inference(unit_resulting_resolution,[],[f26167,f411]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f26167,plain,
perp(sK5,sK6,sK13,sK13),
inference(unit_resulting_resolution,[],[f789,f789,f418]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f789,plain,
cong(sK5,sK13,sK6,sK13),
inference(unit_resulting_resolution,[],[f743,f408]) ).
fof(f408,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f743,plain,
cong(sK5,sK13,sK13,sK6),
inference(unit_resulting_resolution,[],[f705,f409]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
fof(f705,plain,
cong(sK13,sK6,sK5,sK13),
inference(unit_resulting_resolution,[],[f689,f408]) ).
fof(f689,plain,
cong(sK13,sK6,sK13,sK5),
inference(unit_resulting_resolution,[],[f510,f393]) ).
fof(f393,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f510,plain,
midp(sK13,sK6,sK5),
inference(unit_resulting_resolution,[],[f386,f391]) ).
fof(f27264,plain,
para(sK12,sK12,sK13,sK13),
inference(unit_resulting_resolution,[],[f6574,f11937,f473]) ).
fof(f473,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f277]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f11937,plain,
para(sK5,sK5,sK13,sK13),
inference(unit_resulting_resolution,[],[f6578,f407]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f6578,plain,
para(sK13,sK13,sK5,sK5),
inference(unit_resulting_resolution,[],[f510,f510,f440]) ).
fof(f6574,plain,
para(sK12,sK12,sK5,sK5),
inference(unit_resulting_resolution,[],[f509,f509,f440]) ).
fof(f26187,plain,
perp(sK7,sK5,sK12,sK12),
inference(unit_resulting_resolution,[],[f769,f769,f418]) ).
fof(f769,plain,
cong(sK7,sK12,sK5,sK12),
inference(unit_resulting_resolution,[],[f738,f408]) ).
fof(f738,plain,
cong(sK7,sK12,sK12,sK5),
inference(unit_resulting_resolution,[],[f702,f409]) ).
fof(f702,plain,
cong(sK12,sK5,sK7,sK12),
inference(unit_resulting_resolution,[],[f686,f408]) ).
fof(f686,plain,
cong(sK12,sK5,sK12,sK7),
inference(unit_resulting_resolution,[],[f384,f393]) ).
fof(f1020,plain,
coll(sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f565,f565,f413]) ).
fof(f565,plain,
coll(sK6,sK13,sK5),
inference(unit_resulting_resolution,[],[f529,f395]) ).
fof(f529,plain,
coll(sK13,sK6,sK5),
inference(unit_resulting_resolution,[],[f510,f392]) ).
fof(f32545,plain,
para(sK5,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f26163,f29118,f476]) ).
fof(f29118,plain,
perp(sK12,sK12,sK6,sK7),
inference(unit_resulting_resolution,[],[f27381,f26243,f474]) ).
fof(f26243,plain,
perp(sK14,sK14,sK6,sK7),
inference(unit_resulting_resolution,[],[f26179,f411]) ).
fof(f26179,plain,
perp(sK6,sK7,sK14,sK14),
inference(unit_resulting_resolution,[],[f777,f777,f418]) ).
fof(f777,plain,
cong(sK6,sK14,sK7,sK14),
inference(unit_resulting_resolution,[],[f746,f408]) ).
fof(f746,plain,
cong(sK6,sK14,sK14,sK7),
inference(unit_resulting_resolution,[],[f706,f409]) ).
fof(f706,plain,
cong(sK14,sK7,sK6,sK14),
inference(unit_resulting_resolution,[],[f690,f408]) ).
fof(f690,plain,
cong(sK14,sK7,sK14,sK6),
inference(unit_resulting_resolution,[],[f388,f393]) ).
fof(f27381,plain,
para(sK12,sK12,sK14,sK14),
inference(unit_resulting_resolution,[],[f6572,f11953,f473]) ).
fof(f11953,plain,
para(sK7,sK7,sK14,sK14),
inference(unit_resulting_resolution,[],[f6583,f407]) ).
fof(f6583,plain,
para(sK14,sK14,sK7,sK7),
inference(unit_resulting_resolution,[],[f511,f511,f440]) ).
fof(f6572,plain,
para(sK12,sK12,sK7,sK7),
inference(unit_resulting_resolution,[],[f384,f384,f440]) ).
fof(f26163,plain,
perp(sK5,sK7,sK12,sK12),
inference(unit_resulting_resolution,[],[f785,f785,f418]) ).
fof(f785,plain,
cong(sK5,sK12,sK7,sK12),
inference(unit_resulting_resolution,[],[f739,f408]) ).
fof(f739,plain,
cong(sK5,sK12,sK12,sK7),
inference(unit_resulting_resolution,[],[f703,f409]) ).
fof(f703,plain,
cong(sK12,sK7,sK5,sK12),
inference(unit_resulting_resolution,[],[f687,f408]) ).
fof(f687,plain,
cong(sK12,sK7,sK12,sK5),
inference(unit_resulting_resolution,[],[f509,f393]) ).
fof(f91520,plain,
midp(sK10,sK7,sK7),
inference(unit_resulting_resolution,[],[f11894,f11894,f90974,f442]) ).
fof(f90974,plain,
midp(sK10,sK5,sK5),
inference(unit_resulting_resolution,[],[f26855,f32892,f32892,f442]) ).
fof(f32892,plain,
para(sK8,sK5,sK8,sK5),
inference(unit_resulting_resolution,[],[f29357,f28784,f476]) ).
fof(f28784,plain,
perp(sK13,sK14,sK8,sK5),
inference(unit_resulting_resolution,[],[f6582,f829,f474]) ).
fof(f829,plain,
perp(sK5,sK7,sK8,sK5),
inference(unit_resulting_resolution,[],[f379,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f379,plain,
perp(sK5,sK7,sK5,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f6582,plain,
para(sK13,sK14,sK5,sK7),
inference(unit_resulting_resolution,[],[f510,f511,f440]) ).
fof(f29357,plain,
perp(sK8,sK5,sK13,sK14),
inference(unit_resulting_resolution,[],[f28784,f411]) ).
fof(f26855,plain,
midp(sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f1407,f26591,f398]) ).
fof(f26591,plain,
cong(sK10,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f26346,f408]) ).
fof(f26346,plain,
cong(sK10,sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f25979,f409]) ).
fof(f25979,plain,
cong(sK8,sK10,sK10,sK8),
inference(unit_resulting_resolution,[],[f25919,f408]) ).
fof(f25919,plain,
cong(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f508,f25857,f419]) ).
fof(f419,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f25857,plain,
perp(sK8,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f25785,f410]) ).
fof(f25785,plain,
perp(sK8,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f25754,f411]) ).
fof(f25754,plain,
perp(sK9,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f524,f25719,f414]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
fof(f25719,plain,
circle(sK10,sK9,sK8,sK8),
inference(unit_resulting_resolution,[],[f684,f684,f416]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(f684,plain,
cong(sK10,sK9,sK10,sK8),
inference(unit_resulting_resolution,[],[f383,f393]) ).
fof(f383,plain,
midp(sK10,sK9,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f524,plain,
coll(sK10,sK9,sK8),
inference(unit_resulting_resolution,[],[f383,f392]) ).
fof(f508,plain,
midp(sK10,sK8,sK9),
inference(unit_resulting_resolution,[],[f383,f391]) ).
fof(f1407,plain,
coll(sK10,sK8,sK8),
inference(unit_resulting_resolution,[],[f1164,f395]) ).
fof(f1164,plain,
coll(sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f1045,f394]) ).
fof(f1045,plain,
coll(sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f524,f524,f413]) ).
fof(f1065979,plain,
~ para(sK5,sK10,sK7,sK7),
inference(unit_resulting_resolution,[],[f916,f551549,f474]) ).
fof(f551549,plain,
perp(sK7,sK7,sK5,sK11),
inference(unit_resulting_resolution,[],[f30238,f551498,f418]) ).
fof(f30238,plain,
cong(sK7,sK11,sK7,sK11),
inference(unit_resulting_resolution,[],[f14123,f14097,f475]) ).
fof(f475,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).
fof(f14097,plain,
cong(sK11,sK6,sK7,sK11),
inference(unit_resulting_resolution,[],[f14020,f408]) ).
fof(f14020,plain,
cong(sK11,sK6,sK11,sK7),
inference(unit_resulting_resolution,[],[f511,f913,f412]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).
fof(f913,plain,
perp(sK11,sK14,sK6,sK7),
inference(unit_resulting_resolution,[],[f861,f410]) ).
fof(f861,plain,
perp(sK11,sK14,sK7,sK6),
inference(unit_resulting_resolution,[],[f833,f411]) ).
fof(f833,plain,
perp(sK7,sK6,sK11,sK14),
inference(unit_resulting_resolution,[],[f389,f410]) ).
fof(f389,plain,
perp(sK7,sK6,sK14,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f14123,plain,
cong(sK7,sK11,sK11,sK6),
inference(unit_resulting_resolution,[],[f14097,f409]) ).
fof(f916,plain,
~ perp(sK5,sK10,sK5,sK11),
inference(unit_resulting_resolution,[],[f873,f411]) ).
fof(f873,plain,
~ perp(sK5,sK11,sK5,sK10),
inference(unit_resulting_resolution,[],[f850,f410]) ).
fof(f850,plain,
~ perp(sK5,sK11,sK10,sK5),
inference(unit_resulting_resolution,[],[f390,f411]) ).
fof(f390,plain,
~ perp(sK10,sK5,sK5,sK11),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GEO605+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 06:10:04 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (20627)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (20630)WARNING: value z3 for option sas not known
% 0.15/0.32 % (20628)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (20631)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (20632)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.32 % (20633)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.32 % (20634)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.32 % (20629)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (20630)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [2]
% 6.61/1.30 TRYING [1]
% 6.61/1.30 TRYING [2]
% 7.13/1.37 TRYING [3]
% 7.49/1.41 TRYING [3]
% 86.97/12.80 TRYING [4]
% 116.48/16.97 TRYING [4]
% 168.27/24.39 % (20634)First to succeed.
% 168.68/24.47 % (20634)Refutation found. Thanks to Tanya!
% 168.68/24.47 % SZS status Theorem for theBenchmark
% 168.68/24.47 % SZS output start Proof for theBenchmark
% See solution above
% 168.99/24.47 % (20634)------------------------------
% 168.99/24.47 % (20634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 168.99/24.47 % (20634)Termination reason: Refutation
% 168.99/24.47
% 168.99/24.47 % (20634)Memory used [KB]: 513680
% 168.99/24.47 % (20634)Time elapsed: 24.078 s
% 168.99/24.47 % (20634)Instructions burned: 51882 (million)
% 168.99/24.47 % (20634)------------------------------
% 168.99/24.47 % (20634)------------------------------
% 168.99/24.47 % (20627)Success in time 24.144 s
%------------------------------------------------------------------------------