TSTP Solution File: GEO591+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO591+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 : Sun May 5 05:28:18 EDT 2024
% Result : Theorem 58.09s 8.63s
% Output : Refutation 58.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 34
% Syntax : Number of formulae : 284 ( 151 unt; 0 def)
% Number of atoms : 557 ( 0 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 439 ( 166 ~; 140 |; 83 &)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 635 ( 599 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1194941,plain,
$false,
inference(subsumption_resolution,[],[f1194913,f1008223]) ).
fof(f1008223,plain,
~ perp(sK8,sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f698276,f1008022,f412]) ).
fof(f412,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/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f1008022,plain,
! [X0] : midp(sK5,X0,X0),
inference(unit_resulting_resolution,[],[f1007870,f39253]) ).
fof(f39253,plain,
! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| midp(X0,X1,X1) ),
inference(subsumption_resolution,[],[f39207,f38961]) ).
fof(f38961,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(unit_resulting_resolution,[],[f21860,f463]) ).
fof(f463,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f21860,plain,
! [X0,X1] : eqangle(X0,X1,sK4,sK6,X0,X1,sK4,sK6),
inference(unit_resulting_resolution,[],[f3655,f490]) ).
fof(f490,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f3655,plain,
! [X0,X1] : eqangle(sK4,sK6,X0,X1,sK4,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f3588,f453]) ).
fof(f453,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/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f3588,plain,
para(sK4,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f569,f582,f469]) ).
fof(f469,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/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f582,plain,
perp(sK8,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f569,f404]) ).
fof(f404,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/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f569,plain,
perp(sK4,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f378,f403]) ).
fof(f403,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/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f378,plain,
perp(sK4,sK6,sK6,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cong(sK4,sK8,sK4,sK9)
& coll(sK9,sK7,sK8)
& perp(sK4,sK7,sK7,sK8)
& coll(sK7,sK5,sK6)
& perp(sK4,sK5,sK5,sK9)
& perp(sK4,sK6,sK6,sK8)
& circle(sK4,sK5,sK6,sK12)
& circle(sK4,sK5,sK10,sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X4,X0,X5)
& coll(X5,X3,X4)
& perp(X0,X3,X3,X4)
& coll(X3,X1,X2)
& perp(X0,X1,X1,X5)
& perp(X0,X2,X2,X4)
& circle(X0,X1,X2,X8)
& circle(X0,X1,X6,X7) )
=> ( ~ cong(sK4,sK8,sK4,sK9)
& coll(sK9,sK7,sK8)
& perp(sK4,sK7,sK7,sK8)
& coll(sK7,sK5,sK6)
& perp(sK4,sK5,sK5,sK9)
& perp(sK4,sK6,sK6,sK8)
& circle(sK4,sK5,sK6,sK12)
& circle(sK4,sK5,sK10,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X4,X0,X5)
& coll(X5,X3,X4)
& perp(X0,X3,X3,X4)
& coll(X3,X1,X2)
& perp(X0,X1,X1,X5)
& perp(X0,X2,X2,X4)
& circle(X0,X1,X2,X8)
& circle(X0,X1,X6,X7) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X4,X0,X5)
& coll(X5,X3,X4)
& perp(X0,X3,X3,X4)
& coll(X3,X1,X2)
& perp(X0,X1,X1,X5)
& perp(X0,X2,X2,X4)
& circle(X0,X1,X2,X8)
& circle(X0,X1,X6,X7) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X5,X3,X4)
& perp(X0,X3,X3,X4)
& coll(X3,X1,X2)
& perp(X0,X1,X1,X5)
& perp(X0,X2,X2,X4)
& circle(X0,X1,X2,X8)
& circle(X0,X1,X6,X7) )
=> cong(X0,X4,X0,X5) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X7,X0,X1,X2,X4,X3,X18,X19,X20] :
( ( coll(X3,X2,X4)
& perp(X7,X2,X2,X4)
& coll(X2,X0,X1)
& perp(X7,X0,X0,X3)
& perp(X7,X1,X1,X4)
& circle(X7,X0,X1,X20)
& circle(X7,X0,X18,X19) )
=> cong(X7,X4,X7,X3) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X7,X0,X1,X2,X4,X3,X18,X19,X20] :
( ( coll(X3,X2,X4)
& perp(X7,X2,X2,X4)
& coll(X2,X0,X1)
& perp(X7,X0,X0,X3)
& perp(X7,X1,X1,X4)
& circle(X7,X0,X1,X20)
& circle(X7,X0,X18,X19) )
=> cong(X7,X4,X7,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416053) ).
fof(f39207,plain,
! [X2,X0,X1] :
( midp(X0,X1,X1)
| ~ para(X2,X1,X2,X1)
| ~ midp(X0,X2,X2) ),
inference(resolution,[],[f38961,f435]) ).
fof(f435,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/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f1007870,plain,
midp(sK5,sK9,sK9),
inference(unit_resulting_resolution,[],[f1111,f991719,f391]) ).
fof(f391,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/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f991719,plain,
cong(sK5,sK9,sK5,sK9),
inference(unit_resulting_resolution,[],[f12169,f12655,f12169,f12698,f465]) ).
fof(f465,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/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f12698,plain,
eqangle(sK5,sK5,sK5,sK9,sK5,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f12169,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f12655,plain,
cyclic(sK5,sK9,sK5,sK9),
inference(unit_resulting_resolution,[],[f12112,f397]) ).
fof(f397,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/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f12112,plain,
cyclic(sK5,sK5,sK9,sK9),
inference(unit_resulting_resolution,[],[f1102,f5411,f414]) ).
fof(f414,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/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f5411,plain,
! [X0,X1] : eqangle(sK9,sK5,X0,X1,sK9,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f3549,f453]) ).
fof(f3549,plain,
para(sK9,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f610,f633,f469]) ).
fof(f633,plain,
perp(sK5,sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f610,f404]) ).
fof(f610,plain,
perp(sK9,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f584,f403]) ).
fof(f584,plain,
perp(sK9,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f570,f404]) ).
fof(f570,plain,
perp(sK4,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f379,f403]) ).
fof(f379,plain,
perp(sK4,sK5,sK5,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f1102,plain,
coll(sK9,sK9,sK5),
inference(unit_resulting_resolution,[],[f912,f912,f406]) ).
fof(f406,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/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f912,plain,
coll(sK5,sK7,sK9),
inference(unit_resulting_resolution,[],[f757,f387]) ).
fof(f387,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/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f757,plain,
coll(sK5,sK9,sK7),
inference(unit_resulting_resolution,[],[f680,f670,f406]) ).
fof(f670,plain,
coll(sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f518,f518,f406]) ).
fof(f518,plain,
coll(sK5,sK6,sK7),
inference(unit_resulting_resolution,[],[f509,f387]) ).
fof(f509,plain,
coll(sK5,sK7,sK6),
inference(unit_resulting_resolution,[],[f380,f388]) ).
fof(f388,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/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f380,plain,
coll(sK7,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f680,plain,
coll(sK7,sK7,sK9),
inference(unit_resulting_resolution,[],[f502,f502,f406]) ).
fof(f502,plain,
coll(sK9,sK8,sK7),
inference(unit_resulting_resolution,[],[f382,f387]) ).
fof(f382,plain,
coll(sK9,sK7,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f12169,plain,
cyclic(sK5,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f12056,f395]) ).
fof(f395,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/sandbox/benchmark/theBenchmark.p',ruleD16) ).
fof(f12056,plain,
cyclic(sK9,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f805,f5213,f414]) ).
fof(f5213,plain,
! [X0,X1] : eqangle(sK5,sK9,X0,X1,sK5,sK9,X0,X1),
inference(unit_resulting_resolution,[],[f3528,f453]) ).
fof(f3528,plain,
para(sK5,sK9,sK5,sK9),
inference(unit_resulting_resolution,[],[f598,f621,f469]) ).
fof(f621,plain,
perp(sK5,sK4,sK5,sK9),
inference(unit_resulting_resolution,[],[f598,f404]) ).
fof(f598,plain,
perp(sK5,sK9,sK5,sK4),
inference(unit_resulting_resolution,[],[f583,f403]) ).
fof(f583,plain,
perp(sK5,sK9,sK4,sK5),
inference(unit_resulting_resolution,[],[f379,f404]) ).
fof(f805,plain,
coll(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f719,f719,f406]) ).
fof(f719,plain,
coll(sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f674,f387]) ).
fof(f674,plain,
coll(sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f501,f501,f406]) ).
fof(f501,plain,
coll(sK7,sK6,sK5),
inference(unit_resulting_resolution,[],[f380,f387]) ).
fof(f1111,plain,
coll(sK5,sK9,sK9),
inference(unit_resulting_resolution,[],[f778,f919,f406]) ).
fof(f919,plain,
coll(sK9,sK7,sK5),
inference(unit_resulting_resolution,[],[f759,f387]) ).
fof(f759,plain,
coll(sK9,sK5,sK7),
inference(unit_resulting_resolution,[],[f680,f670,f406]) ).
fof(f778,plain,
coll(sK9,sK7,sK9),
inference(unit_resulting_resolution,[],[f675,f387]) ).
fof(f675,plain,
coll(sK9,sK9,sK7),
inference(unit_resulting_resolution,[],[f522,f522,f406]) ).
fof(f522,plain,
coll(sK7,sK8,sK9),
inference(unit_resulting_resolution,[],[f511,f387]) ).
fof(f511,plain,
coll(sK7,sK9,sK8),
inference(unit_resulting_resolution,[],[f382,f388]) ).
fof(f698276,plain,
~ cong(sK8,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f698163,f401]) ).
fof(f401,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/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f698163,plain,
~ cong(sK8,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f697921,f402]) ).
fof(f402,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/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f697921,plain,
~ cong(sK5,sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f647130,f401]) ).
fof(f647130,plain,
~ cong(sK5,sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f1239,f647083,f391]) ).
fof(f647083,plain,
~ midp(sK5,sK6,sK8),
inference(unit_resulting_resolution,[],[f647017,f384]) ).
fof(f384,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/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f647017,plain,
~ midp(sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f639200,f61858]) ).
fof(f61858,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X0,X1,X2) ),
inference(subsumption_resolution,[],[f61813,f42589]) ).
fof(f42589,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(unit_resulting_resolution,[],[f39809,f39809,f406]) ).
fof(f39809,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(unit_resulting_resolution,[],[f38979,f38979,f406]) ).
fof(f38979,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(unit_resulting_resolution,[],[f38961,f389]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f61813,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ midp(X2,X1,X0) ),
inference(resolution,[],[f38980,f434]) ).
fof(f434,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/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f38980,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(unit_resulting_resolution,[],[f38961,f399]) ).
fof(f399,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/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f639200,plain,
~ midp(sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f639187,f384]) ).
fof(f639187,plain,
~ midp(sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f134260,f42589,f639169,f434]) ).
fof(f639169,plain,
~ midp(sK8,sK5,sK4),
inference(unit_resulting_resolution,[],[f638875,f384]) ).
fof(f638875,plain,
~ midp(sK8,sK4,sK5),
inference(unit_resulting_resolution,[],[f100361,f638868,f412]) ).
fof(f638868,plain,
perp(sK4,sK9,sK9,sK5),
inference(unit_resulting_resolution,[],[f42704,f29822,f407]) ).
fof(f407,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/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f29822,plain,
circle(sK16(sK4,sK9,sK5,sK5),sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f12052,f379,f420]) ).
fof(f420,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| circle(sK16(X0,X1,X2,X3),X0,X1,X2)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0,X1,X2,X3] :
( circle(sK16(X0,X1,X2,X3),X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f221,f337]) ).
fof(f337,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) )
=> ( circle(sK16(X0,X1,X2,X3),X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ( cyclic(X0,X1,X2,X3)
& perp(X0,X2,X2,X1) )
=> circle(X4,X0,X1,X2) ),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X0,X1,X2,X3] :
? [X7] :
( ( cyclic(X0,X1,X2,X3)
& perp(X0,X2,X2,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX14) ).
fof(f12052,plain,
cyclic(sK4,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f1112,f5166,f414]) ).
fof(f5166,plain,
! [X0,X1] : eqangle(sK5,sK4,X0,X1,sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f3603,f453]) ).
fof(f3603,plain,
para(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f3290,f3281,f469]) ).
fof(f3281,plain,
perp(sK14(sK5,sK6,sK12,sK4),sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f377,f417]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK14(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK14(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK14(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f377,plain,
circle(sK4,sK5,sK6,sK12),
inference(cnf_transformation,[],[f330]) ).
fof(f3290,plain,
perp(sK5,sK4,sK14(sK5,sK6,sK12,sK4),sK5),
inference(unit_resulting_resolution,[],[f3281,f404]) ).
fof(f1112,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f919,f919,f406]) ).
fof(f42704,plain,
! [X0] : coll(X0,sK4,sK5),
inference(unit_resulting_resolution,[],[f39809,f3907]) ).
fof(f3907,plain,
! [X0] :
( ~ coll(sK5,sK5,X0)
| coll(X0,sK4,sK5) ),
inference(resolution,[],[f3744,f406]) ).
fof(f3744,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f3709,f3709,f406]) ).
fof(f3709,plain,
coll(sK4,sK6,sK5),
inference(unit_resulting_resolution,[],[f3678,f387]) ).
fof(f3678,plain,
coll(sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f669,f3666,f406]) ).
fof(f3666,plain,
coll(sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f3650,f3650,f406]) ).
fof(f3650,plain,
coll(sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f3588,f389]) ).
fof(f669,plain,
coll(sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f509,f509,f406]) ).
fof(f100361,plain,
~ cong(sK4,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f78672,f401]) ).
fof(f78672,plain,
~ cong(sK4,sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f71817,f402]) ).
fof(f71817,plain,
~ cong(sK8,sK9,sK4,sK8),
inference(unit_resulting_resolution,[],[f61863,f401]) ).
fof(f61863,plain,
~ cong(sK8,sK9,sK8,sK4),
inference(unit_resulting_resolution,[],[f4321,f61618,f391]) ).
fof(f61618,plain,
~ midp(sK8,sK9,sK4),
inference(unit_resulting_resolution,[],[f550,f4338,f38980,f434]) ).
fof(f4338,plain,
coll(sK4,sK9,sK8),
inference(unit_resulting_resolution,[],[f1265,f3845,f406]) ).
fof(f3845,plain,
coll(sK8,sK6,sK4),
inference(unit_resulting_resolution,[],[f3687,f387]) ).
fof(f3687,plain,
coll(sK8,sK4,sK6),
inference(unit_resulting_resolution,[],[f1240,f3666,f406]) ).
fof(f1240,plain,
coll(sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f1064,f1064,f406]) ).
fof(f1064,plain,
coll(sK8,sK7,sK6),
inference(unit_resulting_resolution,[],[f893,f387]) ).
fof(f893,plain,
coll(sK8,sK6,sK7),
inference(unit_resulting_resolution,[],[f677,f672,f406]) ).
fof(f672,plain,
coll(sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f526,f526,f406]) ).
fof(f526,plain,
coll(sK6,sK5,sK7),
inference(unit_resulting_resolution,[],[f510,f387]) ).
fof(f510,plain,
coll(sK6,sK7,sK5),
inference(unit_resulting_resolution,[],[f501,f388]) ).
fof(f677,plain,
coll(sK7,sK7,sK8),
inference(unit_resulting_resolution,[],[f512,f512,f406]) ).
fof(f512,plain,
coll(sK8,sK9,sK7),
inference(unit_resulting_resolution,[],[f502,f388]) ).
fof(f1265,plain,
coll(sK8,sK6,sK9),
inference(unit_resulting_resolution,[],[f382,f1071,f406]) ).
fof(f1071,plain,
coll(sK9,sK7,sK6),
inference(unit_resulting_resolution,[],[f894,f387]) ).
fof(f894,plain,
coll(sK9,sK6,sK7),
inference(unit_resulting_resolution,[],[f680,f672,f406]) ).
fof(f550,plain,
~ midp(sK4,sK9,sK8),
inference(unit_resulting_resolution,[],[f549,f384]) ).
fof(f549,plain,
~ midp(sK4,sK8,sK9),
inference(unit_resulting_resolution,[],[f383,f386]) ).
fof(f386,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/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f383,plain,
~ cong(sK4,sK8,sK4,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f4321,plain,
coll(sK8,sK9,sK4),
inference(unit_resulting_resolution,[],[f3831,f3838,f406]) ).
fof(f3838,plain,
coll(sK4,sK6,sK9),
inference(unit_resulting_resolution,[],[f3682,f387]) ).
fof(f3682,plain,
coll(sK4,sK9,sK6),
inference(unit_resulting_resolution,[],[f1263,f3666,f406]) ).
fof(f1263,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f1071,f1071,f406]) ).
fof(f3831,plain,
coll(sK4,sK6,sK8),
inference(unit_resulting_resolution,[],[f3681,f387]) ).
fof(f3681,plain,
coll(sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f1240,f3666,f406]) ).
fof(f134260,plain,
para(sK6,sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f581,f134177,f469]) ).
fof(f134177,plain,
perp(sK4,sK6,sK8,sK4),
inference(unit_resulting_resolution,[],[f133924,f404]) ).
fof(f133924,plain,
perp(sK8,sK4,sK4,sK6),
inference(unit_resulting_resolution,[],[f42710,f29828,f407]) ).
fof(f29828,plain,
circle(sK16(sK8,sK4,sK6,sK6),sK8,sK4,sK6),
inference(unit_resulting_resolution,[],[f12063,f606,f420]) ).
fof(f606,plain,
perp(sK8,sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f582,f403]) ).
fof(f12063,plain,
cyclic(sK8,sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f3666,f5244,f414]) ).
fof(f5244,plain,
! [X0,X1] : eqangle(sK6,sK8,X0,X1,sK6,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f3576,f453]) ).
fof(f3576,plain,
para(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f594,f617,f469]) ).
fof(f617,plain,
perp(sK6,sK4,sK6,sK8),
inference(unit_resulting_resolution,[],[f594,f404]) ).
fof(f594,plain,
perp(sK6,sK8,sK6,sK4),
inference(unit_resulting_resolution,[],[f581,f403]) ).
fof(f42710,plain,
! [X0] : coll(X0,sK8,sK6),
inference(unit_resulting_resolution,[],[f39809,f1858]) ).
fof(f1858,plain,
! [X0] :
( ~ coll(sK6,sK6,X0)
| coll(X0,sK8,sK6) ),
inference(resolution,[],[f1240,f406]) ).
fof(f581,plain,
perp(sK6,sK8,sK4,sK6),
inference(unit_resulting_resolution,[],[f378,f404]) ).
fof(f1239,plain,
coll(sK5,sK6,sK8),
inference(unit_resulting_resolution,[],[f955,f1064,f406]) ).
fof(f955,plain,
coll(sK8,sK7,sK5),
inference(unit_resulting_resolution,[],[f783,f387]) ).
fof(f783,plain,
coll(sK8,sK5,sK7),
inference(unit_resulting_resolution,[],[f670,f677,f406]) ).
fof(f1194913,plain,
perp(sK8,sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f1002421,f69084,f1002421,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| perp(X2,X0,X0,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X0,X1,X8,X9] :
( ( cyclic(X0,X1,X8,X9)
& cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X8,X0,X0,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD57) ).
fof(f69084,plain,
! [X0] : cyclic(sK6,sK6,sK8,X0),
inference(unit_resulting_resolution,[],[f14683,f65563,f440]) ).
fof(f440,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f65563,plain,
! [X0] : cyclic(sK8,sK6,sK6,X0),
inference(unit_resulting_resolution,[],[f62150,f396]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f62150,plain,
! [X0] : cyclic(sK8,sK6,X0,sK6),
inference(unit_resulting_resolution,[],[f42663,f397]) ).
fof(f42663,plain,
! [X0] : cyclic(sK8,X0,sK6,sK6),
inference(unit_resulting_resolution,[],[f5244,f39809,f414]) ).
fof(f14683,plain,
cyclic(sK8,sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f13094,f396]) ).
fof(f13094,plain,
cyclic(sK8,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f12067,f397]) ).
fof(f12067,plain,
cyclic(sK8,sK8,sK6,sK6),
inference(unit_resulting_resolution,[],[f1240,f5244,f414]) ).
fof(f1002421,plain,
cong(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f12835,f12578,f12257,f12911,f465]) ).
fof(f12911,plain,
eqangle(sK7,sK6,sK7,sK8,sK7,sK6,sK7,sK8),
inference(unit_resulting_resolution,[],[f12257,f398]) ).
fof(f12257,plain,
cyclic(sK6,sK8,sK7,sK7),
inference(unit_resulting_resolution,[],[f12081,f395]) ).
fof(f12081,plain,
cyclic(sK8,sK6,sK7,sK7),
inference(unit_resulting_resolution,[],[f672,f5275,f414]) ).
fof(f5275,plain,
! [X0,X1] : eqangle(sK7,sK8,X0,X1,sK7,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f3584,f453]) ).
fof(f3584,plain,
para(sK7,sK8,sK7,sK8),
inference(unit_resulting_resolution,[],[f602,f625,f469]) ).
fof(f625,plain,
perp(sK7,sK4,sK7,sK8),
inference(unit_resulting_resolution,[],[f602,f404]) ).
fof(f602,plain,
perp(sK7,sK8,sK7,sK4),
inference(unit_resulting_resolution,[],[f585,f403]) ).
fof(f585,plain,
perp(sK7,sK8,sK4,sK7),
inference(unit_resulting_resolution,[],[f381,f404]) ).
fof(f381,plain,
perp(sK4,sK7,sK7,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f12578,plain,
cyclic(sK6,sK8,sK7,sK8),
inference(unit_resulting_resolution,[],[f12098,f397]) ).
fof(f12098,plain,
cyclic(sK6,sK7,sK8,sK8),
inference(unit_resulting_resolution,[],[f676,f5446,f414]) ).
fof(f5446,plain,
! [X0,X1] : eqangle(sK8,sK6,X0,X1,sK8,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f3579,f453]) ).
fof(f3579,plain,
para(sK8,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f606,f629,f469]) ).
fof(f629,plain,
perp(sK6,sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f606,f404]) ).
fof(f676,plain,
coll(sK8,sK8,sK7),
inference(unit_resulting_resolution,[],[f511,f511,f406]) ).
fof(f12835,plain,
cyclic(sK6,sK8,sK7,sK6),
inference(unit_resulting_resolution,[],[f12233,f395]) ).
fof(f12233,plain,
cyclic(sK8,sK6,sK7,sK6),
inference(unit_resulting_resolution,[],[f12066,f397]) ).
fof(f12066,plain,
cyclic(sK8,sK7,sK6,sK6),
inference(unit_resulting_resolution,[],[f673,f5244,f414]) ).
fof(f673,plain,
coll(sK6,sK6,sK7),
inference(unit_resulting_resolution,[],[f380,f380,f406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO591+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 21:56:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (18357)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (18360)WARNING: value z3 for option sas not known
% 0.15/0.38 % (18358)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (18361)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (18359)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (18360)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)
% 0.15/0.38 % (18363)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)
% 0.15/0.38 % (18362)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)
% 0.15/0.38 % (18364)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.22/0.45 TRYING [3]
% 0.22/0.46 TRYING [1]
% 0.22/0.49 TRYING [2]
% 4.70/1.03 TRYING [1]
% 4.70/1.03 TRYING [2]
% 4.70/1.07 TRYING [3]
% 6.25/1.27 TRYING [3]
% 57.52/8.60 % (18364)First to succeed.
% 57.52/8.61 % (18364)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18357"
% 58.09/8.63 % (18364)Refutation found. Thanks to Tanya!
% 58.09/8.63 % SZS status Theorem for theBenchmark
% 58.09/8.63 % SZS output start Proof for theBenchmark
% See solution above
% 58.09/8.63 % (18364)------------------------------
% 58.09/8.63 % (18364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 58.09/8.63 % (18364)Termination reason: Refutation
% 58.09/8.63
% 58.09/8.63 % (18364)Memory used [KB]: 148302
% 58.09/8.63 % (18364)Time elapsed: 8.231 s
% 58.09/8.63 % (18364)Instructions burned: 30411 (million)
% 58.09/8.63 % (18357)Success in time 8.173 s
%------------------------------------------------------------------------------