TSTP Solution File: GEO655+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO655+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 05:42:53 EDT 2024
% Result : Theorem 23.77s 3.74s
% Output : Refutation 23.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 38
% Syntax : Number of formulae : 295 ( 147 unt; 0 def)
% Number of atoms : 626 ( 0 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 507 ( 176 ~; 157 |; 120 &)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 671 ( 634 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307042,plain,
$false,
inference(subsumption_resolution,[],[f307041,f65287]) ).
fof(f65287,plain,
cong(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f17044,f64233,f416]) ).
fof(f416,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(f64233,plain,
midp(sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f1086,f8020,f64113,f438]) ).
fof(f438,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(f64113,plain,
midp(sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f25381,f23845,f23845,f439]) ).
fof(f439,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(f23845,plain,
para(sK7,sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f16650,f16655,f473]) ).
fof(f473,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(f16655,plain,
perp(sK5,sK16(sK5,sK9,sK14,sK7),sK7,sK5),
inference(unit_resulting_resolution,[],[f16644,f407]) ).
fof(f407,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(f16644,plain,
perp(sK5,sK16(sK5,sK9,sK14,sK7),sK5,sK7),
inference(unit_resulting_resolution,[],[f16635,f408]) ).
fof(f408,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(f16635,plain,
perp(sK5,sK7,sK5,sK16(sK5,sK9,sK14,sK7)),
inference(unit_resulting_resolution,[],[f16604,f407]) ).
fof(f16604,plain,
perp(sK5,sK7,sK16(sK5,sK9,sK14,sK7),sK5),
inference(unit_resulting_resolution,[],[f16466,f408]) ).
fof(f16466,plain,
perp(sK16(sK5,sK9,sK14,sK7),sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f385,f421]) ).
fof(f421,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK16(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK16(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK16(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(f385,plain,
circle(sK7,sK5,sK9,sK14),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK9,sK10,sK4,sK6)
& perp(sK7,sK9,sK9,sK10)
& circle(sK7,sK5,sK9,sK14)
& coll(sK5,sK8,sK9)
& eqangle(sK6,sK5,sK5,sK8,sK8,sK5,sK5,sK4)
& coll(sK8,sK4,sK6)
& perp(sK4,sK6,sK13,sK7)
& midp(sK13,sK4,sK6)
& perp(sK5,sK6,sK12,sK7)
& midp(sK12,sK5,sK6)
& perp(sK5,sK4,sK11,sK7)
& midp(sK11,sK5,sK4) ),
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] :
( ~ para(X5,X6,X0,X2)
& perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) )
=> ( ~ para(sK9,sK10,sK4,sK6)
& perp(sK7,sK9,sK9,sK10)
& circle(sK7,sK5,sK9,sK14)
& coll(sK5,sK8,sK9)
& eqangle(sK6,sK5,sK5,sK8,sK8,sK5,sK5,sK4)
& coll(sK8,sK4,sK6)
& perp(sK4,sK6,sK13,sK7)
& midp(sK13,sK4,sK6)
& perp(sK5,sK6,sK12,sK7)
& midp(sK12,sK5,sK6)
& perp(sK5,sK4,sK11,sK7)
& midp(sK11,sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ para(X5,X6,X0,X2)
& perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ para(X5,X6,X0,X2)
& perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( perp(X3,X5,X5,X6)
& circle(X3,X1,X5,X10)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X9,X3)
& midp(X9,X0,X2)
& perp(X1,X2,X8,X3)
& midp(X8,X1,X2)
& perp(X1,X0,X7,X3)
& midp(X7,X1,X0) )
=> para(X5,X6,X0,X2) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20,X21] :
( ( perp(X3,X5,X5,X12)
& circle(X3,X1,X5,X21)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X20,X3)
& midp(X20,X0,X2)
& perp(X1,X2,X19,X3)
& midp(X19,X1,X2)
& perp(X1,X0,X18,X3)
& midp(X18,X1,X0) )
=> para(X5,X12,X0,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20,X21] :
( ( perp(X3,X5,X5,X12)
& circle(X3,X1,X5,X21)
& coll(X1,X4,X5)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X4,X0,X2)
& perp(X0,X2,X20,X3)
& midp(X20,X0,X2)
& perp(X1,X2,X19,X3)
& midp(X19,X1,X2)
& perp(X1,X0,X18,X3)
& midp(X18,X1,X0) )
=> para(X5,X12,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0229) ).
fof(f16650,plain,
perp(sK7,sK5,sK5,sK16(sK5,sK9,sK14,sK7)),
inference(unit_resulting_resolution,[],[f16639,f407]) ).
fof(f16639,plain,
perp(sK7,sK5,sK16(sK5,sK9,sK14,sK7),sK5),
inference(unit_resulting_resolution,[],[f16605,f408]) ).
fof(f16605,plain,
perp(sK16(sK5,sK9,sK14,sK7),sK5,sK7,sK5),
inference(unit_resulting_resolution,[],[f16466,f407]) ).
fof(f25381,plain,
midp(sK5,sK7,sK7),
inference(unit_resulting_resolution,[],[f22192,f25367,f395]) ).
fof(f395,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(f25367,plain,
coll(sK5,sK7,sK7),
inference(unit_resulting_resolution,[],[f24321,f393]) ).
fof(f393,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(f24321,plain,
para(sK5,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f16604,f16466,f473]) ).
fof(f22192,plain,
cong(sK5,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f13844,f13828,f472]) ).
fof(f472,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/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(f13828,plain,
cong(sK6,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f13803,f405]) ).
fof(f405,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(f13803,plain,
cong(sK6,sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f13765,f406]) ).
fof(f406,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(f13765,plain,
cong(sK7,sK5,sK6,sK7),
inference(unit_resulting_resolution,[],[f13723,f405]) ).
fof(f13723,plain,
cong(sK7,sK5,sK7,sK6),
inference(unit_resulting_resolution,[],[f378,f795,f409]) ).
fof(f409,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/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f795,plain,
perp(sK7,sK12,sK5,sK6),
inference(unit_resulting_resolution,[],[f774,f408]) ).
fof(f774,plain,
perp(sK5,sK6,sK7,sK12),
inference(unit_resulting_resolution,[],[f379,f407]) ).
fof(f379,plain,
perp(sK5,sK6,sK12,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f378,plain,
midp(sK12,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f13844,plain,
cong(sK5,sK7,sK6,sK7),
inference(unit_resulting_resolution,[],[f13819,f405]) ).
fof(f13819,plain,
cong(sK5,sK7,sK7,sK6),
inference(unit_resulting_resolution,[],[f13793,f406]) ).
fof(f13793,plain,
cong(sK7,sK6,sK5,sK7),
inference(unit_resulting_resolution,[],[f13722,f405]) ).
fof(f13722,plain,
cong(sK7,sK6,sK7,sK5),
inference(unit_resulting_resolution,[],[f506,f830,f409]) ).
fof(f830,plain,
perp(sK7,sK12,sK6,sK5),
inference(unit_resulting_resolution,[],[f795,f407]) ).
fof(f506,plain,
midp(sK12,sK6,sK5),
inference(unit_resulting_resolution,[],[f378,f388]) ).
fof(f388,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(f8020,plain,
para(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f6062,f403]) ).
fof(f403,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(f6062,plain,
para(sK5,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f376,f505,f436]) ).
fof(f436,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/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f505,plain,
midp(sK11,sK4,sK5),
inference(unit_resulting_resolution,[],[f376,f388]) ).
fof(f376,plain,
midp(sK11,sK5,sK4),
inference(cnf_transformation,[],[f330]) ).
fof(f1086,plain,
coll(sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f921,f391]) ).
fof(f391,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(f921,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f553,f553,f410]) ).
fof(f410,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(f553,plain,
coll(sK5,sK11,sK4),
inference(unit_resulting_resolution,[],[f517,f392]) ).
fof(f392,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(f517,plain,
coll(sK11,sK5,sK4),
inference(unit_resulting_resolution,[],[f376,f389]) ).
fof(f389,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/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f17044,plain,
perp(sK5,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f16986,f407]) ).
fof(f16986,plain,
perp(sK5,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f16939,f408]) ).
fof(f16939,plain,
perp(sK4,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f520,f16897,f411]) ).
fof(f411,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(f16897,plain,
circle(sK11,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f652,f652,f413]) ).
fof(f413,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/sandbox/benchmark/theBenchmark.p',ruleD12) ).
fof(f652,plain,
cong(sK11,sK4,sK11,sK5),
inference(unit_resulting_resolution,[],[f505,f390]) ).
fof(f390,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(f520,plain,
coll(sK11,sK4,sK5),
inference(unit_resulting_resolution,[],[f505,f389]) ).
fof(f307041,plain,
~ cong(sK5,sK4,sK5,sK4),
inference(subsumption_resolution,[],[f307040,f58245]) ).
fof(f58245,plain,
cong(sK5,sK9,sK5,sK9),
inference(unit_resulting_resolution,[],[f57953,f390]) ).
fof(f57953,plain,
midp(sK5,sK9,sK9),
inference(unit_resulting_resolution,[],[f25381,f24338,f24338,f439]) ).
fof(f24338,plain,
para(sK7,sK9,sK7,sK9),
inference(unit_resulting_resolution,[],[f776,f792,f473]) ).
fof(f792,plain,
perp(sK10,sK9,sK7,sK9),
inference(unit_resulting_resolution,[],[f776,f408]) ).
fof(f776,plain,
perp(sK7,sK9,sK10,sK9),
inference(unit_resulting_resolution,[],[f386,f407]) ).
fof(f386,plain,
perp(sK7,sK9,sK9,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f307040,plain,
( ~ cong(sK5,sK9,sK5,sK9)
| ~ cong(sK5,sK4,sK5,sK4) ),
inference(subsumption_resolution,[],[f306201,f257842]) ).
fof(f257842,plain,
~ perp(sK4,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f73293,f248618,f416]) ).
fof(f248618,plain,
~ cong(sK4,sK9,sK5,sK9),
inference(unit_resulting_resolution,[],[f13824,f236101,f415]) ).
fof(f415,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/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f236101,plain,
~ perp(sK4,sK5,sK9,sK7),
inference(unit_resulting_resolution,[],[f20448,f48869,f473]) ).
fof(f48869,plain,
~ para(sK6,sK6,sK9,sK7),
inference(unit_resulting_resolution,[],[f30677,f404]) ).
fof(f404,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/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f30677,plain,
~ para(sK9,sK7,sK6,sK6),
inference(unit_resulting_resolution,[],[f16950,f23281,f471]) ).
fof(f471,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/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f23281,plain,
~ perp(sK9,sK7,sK4,sK6),
inference(unit_resulting_resolution,[],[f822,f669,f473]) ).
fof(f669,plain,
~ para(sK10,sK9,sK4,sK6),
inference(unit_resulting_resolution,[],[f666,f404]) ).
fof(f666,plain,
~ para(sK4,sK6,sK10,sK9),
inference(unit_resulting_resolution,[],[f663,f403]) ).
fof(f663,plain,
~ para(sK4,sK6,sK9,sK10),
inference(unit_resulting_resolution,[],[f387,f404]) ).
fof(f387,plain,
~ para(sK9,sK10,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f822,plain,
perp(sK10,sK9,sK9,sK7),
inference(unit_resulting_resolution,[],[f792,f407]) ).
fof(f16950,plain,
perp(sK6,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f16927,f408]) ).
fof(f16927,plain,
perp(sK4,sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f519,f16896,f411]) ).
fof(f16896,plain,
circle(sK13,sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f651,f651,f413]) ).
fof(f651,plain,
cong(sK13,sK4,sK13,sK6),
inference(unit_resulting_resolution,[],[f380,f390]) ).
fof(f380,plain,
midp(sK13,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f519,plain,
coll(sK13,sK4,sK6),
inference(unit_resulting_resolution,[],[f380,f389]) ).
fof(f20448,plain,
perp(sK6,sK6,sK4,sK5),
inference(unit_resulting_resolution,[],[f18486,f17391,f471]) ).
fof(f17391,plain,
perp(sK11,sK11,sK4,sK5),
inference(unit_resulting_resolution,[],[f17349,f408]) ).
fof(f17349,plain,
perp(sK4,sK5,sK11,sK11),
inference(unit_resulting_resolution,[],[f726,f726,f415]) ).
fof(f726,plain,
cong(sK4,sK11,sK5,sK11),
inference(unit_resulting_resolution,[],[f702,f405]) ).
fof(f702,plain,
cong(sK4,sK11,sK11,sK5),
inference(unit_resulting_resolution,[],[f675,f406]) ).
fof(f675,plain,
cong(sK11,sK5,sK4,sK11),
inference(unit_resulting_resolution,[],[f649,f405]) ).
fof(f649,plain,
cong(sK11,sK5,sK11,sK4),
inference(unit_resulting_resolution,[],[f376,f390]) ).
fof(f18486,plain,
para(sK6,sK6,sK11,sK11),
inference(unit_resulting_resolution,[],[f6065,f8051,f470]) ).
fof(f470,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/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f8051,plain,
para(sK5,sK5,sK11,sK11),
inference(unit_resulting_resolution,[],[f7247,f404]) ).
fof(f7247,plain,
para(sK11,sK11,sK5,sK5),
inference(unit_resulting_resolution,[],[f505,f505,f437]) ).
fof(f437,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/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f6065,plain,
para(sK6,sK6,sK5,sK5),
inference(unit_resulting_resolution,[],[f506,f506,f436]) ).
fof(f13824,plain,
cong(sK4,sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f13799,f405]) ).
fof(f13799,plain,
cong(sK4,sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f13758,f406]) ).
fof(f13758,plain,
cong(sK7,sK5,sK4,sK7),
inference(unit_resulting_resolution,[],[f13719,f405]) ).
fof(f13719,plain,
cong(sK7,sK5,sK7,sK4),
inference(unit_resulting_resolution,[],[f376,f794,f409]) ).
fof(f794,plain,
perp(sK7,sK11,sK5,sK4),
inference(unit_resulting_resolution,[],[f773,f408]) ).
fof(f773,plain,
perp(sK5,sK4,sK7,sK11),
inference(unit_resulting_resolution,[],[f377,f407]) ).
fof(f377,plain,
perp(sK5,sK4,sK11,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f73293,plain,
midp(sK9,sK4,sK9),
inference(unit_resulting_resolution,[],[f2523,f24338,f66957,f438]) ).
fof(f66957,plain,
midp(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f25619,f24321,f64240,f438]) ).
fof(f64240,plain,
midp(sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f17926,f17924,f64113,f439]) ).
fof(f17924,plain,
para(sK5,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f505,f17910,f436]) ).
fof(f17910,plain,
midp(sK11,sK5,sK5),
inference(unit_resulting_resolution,[],[f1640,f17556,f395]) ).
fof(f17556,plain,
cong(sK11,sK5,sK11,sK5),
inference(unit_resulting_resolution,[],[f17196,f17293,f416]) ).
fof(f17293,plain,
perp(sK11,sK11,sK11,sK11),
inference(unit_resulting_resolution,[],[f2084,f17136,f411]) ).
fof(f17136,plain,
circle(sK4,sK11,sK11,sK11),
inference(unit_resulting_resolution,[],[f17067,f17067,f413]) ).
fof(f17067,plain,
cong(sK4,sK11,sK4,sK11),
inference(unit_resulting_resolution,[],[f505,f17013,f416]) ).
fof(f17013,plain,
perp(sK4,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f16957,f407]) ).
fof(f16957,plain,
perp(sK4,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f16931,f408]) ).
fof(f16931,plain,
perp(sK5,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f517,f16902,f411]) ).
fof(f16902,plain,
circle(sK11,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f649,f649,f413]) ).
fof(f2084,plain,
coll(sK4,sK11,sK11),
inference(unit_resulting_resolution,[],[f517,f1366,f410]) ).
fof(f1366,plain,
coll(sK11,sK5,sK11),
inference(unit_resulting_resolution,[],[f917,f391]) ).
fof(f917,plain,
coll(sK11,sK11,sK5),
inference(unit_resulting_resolution,[],[f586,f586,f410]) ).
fof(f586,plain,
coll(sK5,sK4,sK11),
inference(unit_resulting_resolution,[],[f553,f391]) ).
fof(f17196,plain,
midp(sK5,sK11,sK11),
inference(unit_resulting_resolution,[],[f2086,f17081,f395]) ).
fof(f17081,plain,
cong(sK5,sK11,sK5,sK11),
inference(unit_resulting_resolution,[],[f376,f17044,f416]) ).
fof(f2086,plain,
coll(sK5,sK11,sK11),
inference(unit_resulting_resolution,[],[f1366,f392]) ).
fof(f1640,plain,
coll(sK11,sK5,sK5),
inference(unit_resulting_resolution,[],[f1128,f392]) ).
fof(f1128,plain,
coll(sK5,sK11,sK5),
inference(unit_resulting_resolution,[],[f938,f391]) ).
fof(f938,plain,
coll(sK5,sK5,sK11),
inference(unit_resulting_resolution,[],[f520,f520,f410]) ).
fof(f17926,plain,
para(sK5,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f376,f17910,f436]) ).
fof(f25619,plain,
coll(sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f25384,f25459,f410]) ).
fof(f25459,plain,
coll(sK7,sK5,sK4),
inference(unit_resulting_resolution,[],[f25411,f391]) ).
fof(f25411,plain,
coll(sK7,sK4,sK5),
inference(unit_resulting_resolution,[],[f909,f25390,f410]) ).
fof(f25390,plain,
coll(sK5,sK5,sK7),
inference(unit_resulting_resolution,[],[f25383,f25383,f410]) ).
fof(f25383,plain,
coll(sK7,sK7,sK5),
inference(unit_resulting_resolution,[],[f25367,f25367,f410]) ).
fof(f909,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f554,f554,f410]) ).
fof(f554,plain,
coll(sK4,sK11,sK5),
inference(unit_resulting_resolution,[],[f520,f392]) ).
fof(f25384,plain,
coll(sK7,sK5,sK7),
inference(unit_resulting_resolution,[],[f25367,f392]) ).
fof(f2523,plain,
coll(sK9,sK4,sK9),
inference(unit_resulting_resolution,[],[f999,f1596,f410]) ).
fof(f1596,plain,
coll(sK9,sK8,sK4),
inference(unit_resulting_resolution,[],[f1113,f391]) ).
fof(f1113,plain,
coll(sK9,sK4,sK8),
inference(unit_resulting_resolution,[],[f912,f935,f410]) ).
fof(f935,plain,
coll(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f550,f550,f410]) ).
fof(f550,plain,
coll(sK9,sK5,sK8),
inference(unit_resulting_resolution,[],[f529,f392]) ).
fof(f529,plain,
coll(sK5,sK9,sK8),
inference(unit_resulting_resolution,[],[f384,f391]) ).
fof(f384,plain,
coll(sK5,sK8,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f912,plain,
coll(sK8,sK8,sK4),
inference(unit_resulting_resolution,[],[f574,f574,f410]) ).
fof(f574,plain,
coll(sK4,sK6,sK8),
inference(unit_resulting_resolution,[],[f551,f391]) ).
fof(f551,plain,
coll(sK4,sK8,sK6),
inference(unit_resulting_resolution,[],[f382,f392]) ).
fof(f382,plain,
coll(sK8,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f999,plain,
coll(sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f932,f391]) ).
fof(f932,plain,
coll(sK9,sK9,sK8),
inference(unit_resulting_resolution,[],[f549,f549,f410]) ).
fof(f549,plain,
coll(sK8,sK5,sK9),
inference(unit_resulting_resolution,[],[f384,f392]) ).
fof(f306201,plain,
( perp(sK4,sK5,sK5,sK9)
| ~ cong(sK5,sK9,sK5,sK9)
| ~ cong(sK5,sK4,sK5,sK4) ),
inference(resolution,[],[f414,f246061]) ).
fof(f246061,plain,
cyclic(sK5,sK5,sK4,sK9),
inference(unit_resulting_resolution,[],[f243034,f243327,f444]) ).
fof(f444,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(f243327,plain,
cyclic(sK4,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f50444,f400]) ).
fof(f400,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(f50444,plain,
cyclic(sK4,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f48372,f401]) ).
fof(f401,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(f48372,plain,
cyclic(sK4,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f936,f16687,f418]) ).
fof(f418,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(f16687,plain,
! [X0,X1] : eqangle(sK5,sK4,X0,X1,sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f8020,f457]) ).
fof(f457,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(f936,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f578,f578,f410]) ).
fof(f578,plain,
coll(sK9,sK8,sK5),
inference(unit_resulting_resolution,[],[f550,f391]) ).
fof(f243034,plain,
cyclic(sK4,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f50290,f399]) ).
fof(f399,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(f50290,plain,
cyclic(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f48348,f401]) ).
fof(f48348,plain,
cyclic(sK5,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f921,f16674,f418]) ).
fof(f16674,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f8008,f457]) ).
fof(f8008,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f6057,f403]) ).
fof(f6057,plain,
para(sK4,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f505,f376,f436]) ).
fof(f414,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO655+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 22:01:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (5308)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (5313)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)
% 0.14/0.36 % (5314)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)
% 0.14/0.36 % (5311)WARNING: value z3 for option sas not known
% 0.14/0.36 % (5309)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (5310)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (5312)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (5311)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)
% 0.14/0.36 % (5315)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)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.43 TRYING [3]
% 0.20/0.46 TRYING [1]
% 0.20/0.50 TRYING [2]
% 4.50/0.99 TRYING [1]
% 4.50/0.99 TRYING [2]
% 4.50/1.03 TRYING [3]
% 5.68/1.17 TRYING [3]
% 23.77/3.72 % (5315)First to succeed.
% 23.77/3.73 % (5315)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5308"
% 23.77/3.74 % (5315)Refutation found. Thanks to Tanya!
% 23.77/3.74 % SZS status Theorem for theBenchmark
% 23.77/3.74 % SZS output start Proof for theBenchmark
% See solution above
% 23.77/3.74 % (5315)------------------------------
% 23.77/3.74 % (5315)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 23.77/3.74 % (5315)Termination reason: Refutation
% 23.77/3.74
% 23.77/3.74 % (5315)Memory used [KB]: 102121
% 23.77/3.74 % (5315)Time elapsed: 3.366 s
% 23.77/3.74 % (5315)Instructions burned: 12441 (million)
% 23.77/3.74 % (5308)Success in time 3.363 s
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