TSTP Solution File: GEO644+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO644+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 : n032.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 11:39:03 EDT 2024
% Result : Theorem 61.52s 9.16s
% Output : Refutation 61.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 32
% Syntax : Number of formulae : 281 ( 158 unt; 0 def)
% Number of atoms : 546 ( 0 equ)
% Maximal formula atoms : 18 ( 1 avg)
% Number of connectives : 411 ( 146 ~; 128 |; 91 &)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 540 ( 512 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f445082,plain,
$false,
inference(subsumption_resolution,[],[f444926,f435903]) ).
fof(f435903,plain,
perp(sK9,sK9,sK11,sK5),
inference(unit_resulting_resolution,[],[f16767,f320547,f413]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,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(f320547,plain,
cong(sK9,sK11,sK9,sK11),
inference(unit_resulting_resolution,[],[f87278,f112506,f87278,f16703,f466]) ).
fof(f466,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(f16703,plain,
! [X0,X1] : eqangle(sK9,sK9,X0,X1,sK9,sK9,X0,X1),
inference(unit_resulting_resolution,[],[f16554,f454]) ).
fof(f454,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(f16554,plain,
para(sK9,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f16543,f16543,f433]) ).
fof(f433,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(f16543,plain,
midp(sK4,sK9,sK9),
inference(unit_resulting_resolution,[],[f1239,f16463,f392]) ).
fof(f392,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(f16463,plain,
cong(sK4,sK9,sK4,sK9),
inference(unit_resulting_resolution,[],[f503,f16439,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,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(f16439,plain,
perp(sK4,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f16414,f401]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,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(f16414,plain,
perp(sK4,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f16395,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,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(f16395,plain,
perp(sK5,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f512,f16384,f408]) ).
fof(f408,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(f16384,plain,
circle(sK9,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f664,f664,f411]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,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(f664,plain,
cong(sK9,sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f379,f387]) ).
fof(f387,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(f379,plain,
midp(sK9,sK5,sK4),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cong(sK4,sK10,sK10,sK11)
& coll(sK11,sK4,sK6)
& coll(sK11,sK5,sK8)
& coll(sK10,sK7,sK9)
& coll(sK10,sK4,sK6)
& midp(sK9,sK5,sK4)
& midp(sK8,sK6,sK7)
& para(sK4,sK5,sK6,sK7)
& para(sK5,sK6,sK4,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X0,X6,X6,X7)
& coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> ( ~ cong(sK4,sK10,sK10,sK11)
& coll(sK11,sK4,sK6)
& coll(sK11,sK5,sK8)
& coll(sK10,sK7,sK9)
& coll(sK10,sK4,sK6)
& midp(sK9,sK5,sK4)
& midp(sK8,sK6,sK7)
& para(sK4,sK5,sK6,sK7)
& para(sK5,sK6,sK4,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X0,X6,X6,X7)
& coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X0,X6,X6,X7)
& coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> cong(X0,X6,X6,X7) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13] :
( ( coll(X13,X0,X2)
& coll(X13,X1,X4)
& coll(X12,X3,X5)
& coll(X12,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> cong(X0,X12,X12,X13) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13] :
( ( coll(X13,X0,X2)
& coll(X13,X1,X4)
& coll(X12,X3,X5)
& coll(X12,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> cong(X0,X12,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0061) ).
fof(f512,plain,
coll(sK9,sK5,sK4),
inference(unit_resulting_resolution,[],[f379,f386]) ).
fof(f386,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(f503,plain,
midp(sK9,sK4,sK5),
inference(unit_resulting_resolution,[],[f379,f385]) ).
fof(f385,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(f1239,plain,
coll(sK4,sK9,sK9),
inference(unit_resulting_resolution,[],[f908,f973,f407]) ).
fof(f407,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(f973,plain,
coll(sK9,sK10,sK4),
inference(unit_resulting_resolution,[],[f851,f855,f407]) ).
fof(f855,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f522,f522,f407]) ).
fof(f522,plain,
coll(sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f380,f388]) ).
fof(f388,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(f380,plain,
coll(sK10,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f851,plain,
coll(sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f512,f512,f407]) ).
fof(f908,plain,
coll(sK9,sK10,sK9),
inference(unit_resulting_resolution,[],[f856,f388]) ).
fof(f856,plain,
coll(sK9,sK9,sK10),
inference(unit_resulting_resolution,[],[f381,f381,f407]) ).
fof(f381,plain,
coll(sK10,sK7,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f112506,plain,
cyclic(sK9,sK11,sK9,sK11),
inference(unit_resulting_resolution,[],[f99285,f103918,f441]) ).
fof(f441,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/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f103918,plain,
cyclic(sK5,sK9,sK11,sK11),
inference(unit_resulting_resolution,[],[f89056,f89056,f441]) ).
fof(f89056,plain,
cyclic(sK5,sK5,sK9,sK11),
inference(unit_resulting_resolution,[],[f87848,f87870,f441]) ).
fof(f87870,plain,
cyclic(sK4,sK5,sK5,sK11),
inference(unit_resulting_resolution,[],[f87431,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,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/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f87431,plain,
cyclic(sK4,sK5,sK11,sK5),
inference(unit_resulting_resolution,[],[f87158,f397]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,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(f87158,plain,
cyclic(sK4,sK11,sK5,sK5),
inference(unit_resulting_resolution,[],[f861,f16169,f415]) ).
fof(f415,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(f16169,plain,
! [X0,X1] : eqangle(sK5,sK4,X0,X1,sK5,sK4,X0,X1),
inference(unit_resulting_resolution,[],[f7883,f454]) ).
fof(f7883,plain,
para(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f5316,f402]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,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(f5316,plain,
para(sK5,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f379,f503,f433]) ).
fof(f861,plain,
coll(sK5,sK5,sK11),
inference(unit_resulting_resolution,[],[f524,f524,f407]) ).
fof(f524,plain,
coll(sK11,sK8,sK5),
inference(unit_resulting_resolution,[],[f382,f388]) ).
fof(f382,plain,
coll(sK11,sK5,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f87848,plain,
cyclic(sK4,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f87420,f398]) ).
fof(f87420,plain,
cyclic(sK4,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f87156,f397]) ).
fof(f87156,plain,
cyclic(sK4,sK9,sK5,sK5),
inference(unit_resulting_resolution,[],[f850,f16169,f415]) ).
fof(f850,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f513,f513,f407]) ).
fof(f513,plain,
coll(sK9,sK4,sK5),
inference(unit_resulting_resolution,[],[f503,f386]) ).
fof(f99285,plain,
cyclic(sK5,sK9,sK11,sK9),
inference(unit_resulting_resolution,[],[f87286,f397]) ).
fof(f87286,plain,
cyclic(sK5,sK11,sK9,sK9),
inference(unit_resulting_resolution,[],[f2127,f17708,f415]) ).
fof(f17708,plain,
! [X0,X1] : eqangle(sK9,sK5,X0,X1,sK9,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f17591,f454]) ).
fof(f17591,plain,
para(sK9,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f17317,f17284,f467]) ).
fof(f467,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,[],[f278]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f277]) ).
fof(f277,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(f17284,plain,
perp(sK13(sK5,sK4,sK4,sK9),sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f16394,f401]) ).
fof(f16394,plain,
perp(sK13(sK5,sK4,sK4,sK9),sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f16384,f418]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK13(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK13(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/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f17317,plain,
perp(sK9,sK5,sK13(sK5,sK4,sK4,sK9),sK5),
inference(unit_resulting_resolution,[],[f17284,f400]) ).
fof(f2127,plain,
coll(sK9,sK9,sK11),
inference(unit_resulting_resolution,[],[f1284,f1284,f407]) ).
fof(f1284,plain,
coll(sK11,sK4,sK9),
inference(unit_resulting_resolution,[],[f989,f388]) ).
fof(f989,plain,
coll(sK11,sK9,sK4),
inference(unit_resulting_resolution,[],[f851,f860,f407]) ).
fof(f860,plain,
coll(sK4,sK4,sK11),
inference(unit_resulting_resolution,[],[f525,f525,f407]) ).
fof(f525,plain,
coll(sK11,sK6,sK4),
inference(unit_resulting_resolution,[],[f383,f388]) ).
fof(f383,plain,
coll(sK11,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f87278,plain,
cyclic(sK9,sK11,sK9,sK9),
inference(unit_resulting_resolution,[],[f2127,f16703,f415]) ).
fof(f16767,plain,
cong(sK9,sK5,sK9,sK5),
inference(unit_resulting_resolution,[],[f16632,f16679,f410]) ).
fof(f16679,plain,
perp(sK9,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f1239,f16541,f408]) ).
fof(f16541,plain,
circle(sK4,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f16463,f16463,f411]) ).
fof(f16632,plain,
midp(sK5,sK9,sK9),
inference(unit_resulting_resolution,[],[f1432,f16495,f392]) ).
fof(f16495,plain,
cong(sK5,sK9,sK5,sK9),
inference(unit_resulting_resolution,[],[f379,f16449,f410]) ).
fof(f16449,plain,
perp(sK5,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f16428,f401]) ).
fof(f16428,plain,
perp(sK5,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f16403,f400]) ).
fof(f16403,plain,
perp(sK4,sK5,sK5,sK5),
inference(unit_resulting_resolution,[],[f513,f16385,f408]) ).
fof(f16385,plain,
circle(sK9,sK4,sK5,sK5),
inference(unit_resulting_resolution,[],[f665,f665,f411]) ).
fof(f665,plain,
cong(sK9,sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f503,f387]) ).
fof(f1432,plain,
coll(sK5,sK9,sK9),
inference(unit_resulting_resolution,[],[f1019,f830,f407]) ).
fof(f830,plain,
coll(sK9,sK9,sK5),
inference(unit_resulting_resolution,[],[f587,f587,f407]) ).
fof(f587,plain,
coll(sK5,sK4,sK9),
inference(unit_resulting_resolution,[],[f544,f388]) ).
fof(f544,plain,
coll(sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f512,f389]) ).
fof(f389,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(f1019,plain,
coll(sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f908,f908,f407]) ).
fof(f444926,plain,
~ perp(sK9,sK9,sK11,sK5),
inference(unit_resulting_resolution,[],[f50596,f324201,f467]) ).
fof(f324201,plain,
perp(sK10,sK9,sK9,sK9),
inference(subsumption_resolution,[],[f324200,f320460]) ).
fof(f320460,plain,
cong(sK9,sK10,sK9,sK10),
inference(unit_resulting_resolution,[],[f106825,f109491,f87181,f17660,f466]) ).
fof(f17660,plain,
! [X0,X1] : eqangle(sK5,sK9,X0,X1,sK5,sK9,X0,X1),
inference(unit_resulting_resolution,[],[f17588,f454]) ).
fof(f17588,plain,
para(sK5,sK9,sK5,sK9),
inference(unit_resulting_resolution,[],[f17285,f16394,f467]) ).
fof(f17285,plain,
perp(sK5,sK9,sK13(sK5,sK4,sK4,sK9),sK5),
inference(unit_resulting_resolution,[],[f16394,f400]) ).
fof(f87181,plain,
cyclic(sK9,sK10,sK5,sK5),
inference(unit_resulting_resolution,[],[f2994,f17660,f415]) ).
fof(f2994,plain,
coll(sK5,sK5,sK10),
inference(unit_resulting_resolution,[],[f1627,f1627,f407]) ).
fof(f1627,plain,
coll(sK10,sK4,sK5),
inference(unit_resulting_resolution,[],[f1094,f388]) ).
fof(f1094,plain,
coll(sK10,sK5,sK4),
inference(unit_resulting_resolution,[],[f855,f832,f407]) ).
fof(f832,plain,
coll(sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f544,f544,f407]) ).
fof(f109491,plain,
cyclic(sK9,sK10,sK5,sK10),
inference(unit_resulting_resolution,[],[f103228,f103234,f441]) ).
fof(f103234,plain,
cyclic(sK4,sK9,sK10,sK10),
inference(unit_resulting_resolution,[],[f88901,f88901,f441]) ).
fof(f88901,plain,
cyclic(sK4,sK4,sK9,sK10),
inference(unit_resulting_resolution,[],[f87727,f87749,f441]) ).
fof(f87749,plain,
cyclic(sK5,sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f87365,f398]) ).
fof(f87365,plain,
cyclic(sK5,sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f87133,f397]) ).
fof(f87133,plain,
cyclic(sK5,sK10,sK4,sK4),
inference(unit_resulting_resolution,[],[f855,f16174,f415]) ).
fof(f16174,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f7879,f454]) ).
fof(f7879,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f5315,f402]) ).
fof(f5315,plain,
para(sK4,sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f503,f379,f433]) ).
fof(f87727,plain,
cyclic(sK5,sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f87354,f398]) ).
fof(f87354,plain,
cyclic(sK5,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f87132,f397]) ).
fof(f87132,plain,
cyclic(sK5,sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f851,f16174,f415]) ).
fof(f103228,plain,
cyclic(sK4,sK9,sK10,sK5),
inference(unit_resulting_resolution,[],[f88864,f88901,f441]) ).
fof(f88864,plain,
cyclic(sK4,sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f87683,f87727,f441]) ).
fof(f87683,plain,
cyclic(sK5,sK4,sK4,sK5),
inference(unit_resulting_resolution,[],[f87332,f398]) ).
fof(f87332,plain,
cyclic(sK5,sK4,sK5,sK4),
inference(unit_resulting_resolution,[],[f87128,f397]) ).
fof(f87128,plain,
cyclic(sK5,sK5,sK4,sK4),
inference(unit_resulting_resolution,[],[f832,f16174,f415]) ).
fof(f106825,plain,
cyclic(sK9,sK10,sK5,sK9),
inference(unit_resulting_resolution,[],[f99274,f99518,f441]) ).
fof(f99518,plain,
cyclic(sK5,sK9,sK10,sK5),
inference(unit_resulting_resolution,[],[f88364,f396]) ).
fof(f396,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(f88364,plain,
cyclic(sK9,sK5,sK10,sK5),
inference(unit_resulting_resolution,[],[f87181,f397]) ).
fof(f99274,plain,
cyclic(sK5,sK9,sK10,sK9),
inference(unit_resulting_resolution,[],[f87285,f397]) ).
fof(f87285,plain,
cyclic(sK5,sK10,sK9,sK9),
inference(unit_resulting_resolution,[],[f856,f17708,f415]) ).
fof(f324200,plain,
( perp(sK10,sK9,sK9,sK9)
| ~ cong(sK9,sK10,sK9,sK10) ),
inference(subsumption_resolution,[],[f324196,f37128]) ).
fof(f37128,plain,
cong(sK9,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f16679,f26794,f410]) ).
fof(f26794,plain,
midp(sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f1019,f17586,f24785,f435]) ).
fof(f435,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(f24785,plain,
midp(sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f967,f16926,f24572,f435]) ).
fof(f24572,plain,
midp(sK5,sK9,sK4),
inference(unit_resulting_resolution,[],[f24406,f385]) ).
fof(f24406,plain,
midp(sK5,sK4,sK9),
inference(unit_resulting_resolution,[],[f503,f587,f17589,f435]) ).
fof(f17589,plain,
para(sK9,sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f17317,f16394,f467]) ).
fof(f16926,plain,
para(sK5,sK4,sK4,sK4),
inference(unit_resulting_resolution,[],[f379,f16909,f433]) ).
fof(f16909,plain,
midp(sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f1224,f16756,f392]) ).
fof(f16756,plain,
cong(sK9,sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f16668,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,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(f16668,plain,
cong(sK9,sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f16537,f405]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,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(f16537,plain,
cong(sK4,sK9,sK9,sK4),
inference(unit_resulting_resolution,[],[f16463,f404]) ).
fof(f1224,plain,
coll(sK9,sK4,sK4),
inference(unit_resulting_resolution,[],[f967,f389]) ).
fof(f967,plain,
coll(sK4,sK9,sK4),
inference(unit_resulting_resolution,[],[f851,f388]) ).
fof(f17586,plain,
para(sK4,sK9,sK4,sK9),
inference(unit_resulting_resolution,[],[f17297,f16402,f467]) ).
fof(f16402,plain,
perp(sK13(sK4,sK5,sK5,sK9),sK4,sK4,sK9),
inference(unit_resulting_resolution,[],[f16385,f418]) ).
fof(f17297,plain,
perp(sK4,sK9,sK13(sK4,sK5,sK5,sK9),sK4),
inference(unit_resulting_resolution,[],[f16402,f400]) ).
fof(f324196,plain,
( perp(sK10,sK9,sK9,sK9)
| ~ cong(sK9,sK9,sK9,sK9)
| ~ cong(sK9,sK10,sK9,sK10) ),
inference(resolution,[],[f119425,f412]) ).
fof(f412,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,[],[f206]) ).
fof(f206,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,[],[f205]) ).
fof(f205,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,[],[f107]) ).
fof(f107,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/sandbox2/benchmark/theBenchmark.p',ruleD57) ).
fof(f119425,plain,
cyclic(sK9,sK9,sK10,sK9),
inference(unit_resulting_resolution,[],[f99238,f105250,f441]) ).
fof(f105250,plain,
cyclic(sK7,sK9,sK9,sK10),
inference(unit_resulting_resolution,[],[f89471,f89511,f441]) ).
fof(f89511,plain,
cyclic(sK7,sK7,sK9,sK10),
inference(unit_resulting_resolution,[],[f88165,f88198,f441]) ).
fof(f88198,plain,
cyclic(sK6,sK7,sK7,sK10),
inference(unit_resulting_resolution,[],[f87607,f398]) ).
fof(f87607,plain,
cyclic(sK6,sK7,sK10,sK7),
inference(unit_resulting_resolution,[],[f87229,f397]) ).
fof(f87229,plain,
cyclic(sK6,sK10,sK7,sK7),
inference(unit_resulting_resolution,[],[f857,f16188,f415]) ).
fof(f16188,plain,
! [X0,X1] : eqangle(sK7,sK6,X0,X1,sK7,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f7867,f454]) ).
fof(f7867,plain,
para(sK7,sK6,sK7,sK6),
inference(unit_resulting_resolution,[],[f5311,f402]) ).
fof(f5311,plain,
para(sK7,sK6,sK6,sK7),
inference(unit_resulting_resolution,[],[f502,f378,f433]) ).
fof(f378,plain,
midp(sK8,sK6,sK7),
inference(cnf_transformation,[],[f330]) ).
fof(f502,plain,
midp(sK8,sK7,sK6),
inference(unit_resulting_resolution,[],[f378,f385]) ).
fof(f857,plain,
coll(sK7,sK7,sK10),
inference(unit_resulting_resolution,[],[f523,f523,f407]) ).
fof(f523,plain,
coll(sK10,sK9,sK7),
inference(unit_resulting_resolution,[],[f381,f388]) ).
fof(f88165,plain,
cyclic(sK6,sK7,sK7,sK9),
inference(unit_resulting_resolution,[],[f87596,f398]) ).
fof(f87596,plain,
cyclic(sK6,sK7,sK9,sK7),
inference(unit_resulting_resolution,[],[f87228,f397]) ).
fof(f87228,plain,
cyclic(sK6,sK9,sK7,sK7),
inference(unit_resulting_resolution,[],[f853,f16188,f415]) ).
fof(f853,plain,
coll(sK7,sK7,sK9),
inference(unit_resulting_resolution,[],[f549,f549,f407]) ).
fof(f549,plain,
coll(sK9,sK10,sK7),
inference(unit_resulting_resolution,[],[f523,f389]) ).
fof(f89471,plain,
cyclic(sK7,sK7,sK9,sK9),
inference(unit_resulting_resolution,[],[f88165,f88165,f441]) ).
fof(f99238,plain,
cyclic(sK7,sK9,sK9,sK9),
inference(unit_resulting_resolution,[],[f87282,f87282,f441]) ).
fof(f87282,plain,
cyclic(sK5,sK7,sK9,sK9),
inference(unit_resulting_resolution,[],[f845,f17708,f415]) ).
fof(f845,plain,
coll(sK9,sK9,sK7),
inference(unit_resulting_resolution,[],[f548,f548,f407]) ).
fof(f548,plain,
coll(sK7,sK10,sK9),
inference(unit_resulting_resolution,[],[f381,f389]) ).
fof(f50596,plain,
~ para(sK10,sK9,sK11,sK5),
inference(unit_resulting_resolution,[],[f50536,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,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(f50536,plain,
~ para(sK11,sK5,sK10,sK9),
inference(unit_resulting_resolution,[],[f50436,f402]) ).
fof(f50436,plain,
~ para(sK11,sK5,sK9,sK10),
inference(unit_resulting_resolution,[],[f50330,f403]) ).
fof(f50330,plain,
~ para(sK9,sK10,sK11,sK5),
inference(unit_resulting_resolution,[],[f24372,f402]) ).
fof(f24372,plain,
~ para(sK9,sK10,sK5,sK11),
inference(unit_resulting_resolution,[],[f503,f777,f1060,f435]) ).
fof(f1060,plain,
coll(sK10,sK4,sK11),
inference(unit_resulting_resolution,[],[f828,f388]) ).
fof(f828,plain,
coll(sK10,sK11,sK4),
inference(unit_resulting_resolution,[],[f567,f575,f407]) ).
fof(f575,plain,
coll(sK4,sK6,sK11),
inference(unit_resulting_resolution,[],[f550,f388]) ).
fof(f550,plain,
coll(sK4,sK11,sK6),
inference(unit_resulting_resolution,[],[f383,f389]) ).
fof(f567,plain,
coll(sK4,sK6,sK10),
inference(unit_resulting_resolution,[],[f546,f388]) ).
fof(f546,plain,
coll(sK4,sK10,sK6),
inference(unit_resulting_resolution,[],[f380,f389]) ).
fof(f777,plain,
~ midp(sK10,sK4,sK11),
inference(unit_resulting_resolution,[],[f774,f385]) ).
fof(f774,plain,
~ midp(sK10,sK11,sK4),
inference(unit_resulting_resolution,[],[f771,f387]) ).
fof(f771,plain,
~ cong(sK10,sK11,sK10,sK4),
inference(unit_resulting_resolution,[],[f752,f404]) ).
fof(f752,plain,
~ cong(sK10,sK11,sK4,sK10),
inference(unit_resulting_resolution,[],[f384,f405]) ).
fof(f384,plain,
~ cong(sK4,sK10,sK10,sK11),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO644+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n032.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 05:54:51 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (17357)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (17360)WARNING: value z3 for option sas not known
% 0.12/0.35 % (17359)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (17361)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (17358)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (17360)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)
% 0.12/0.35 % (17362)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)
% 0.12/0.35 % (17364)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)
% 0.12/0.35 % (17363)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)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.17/0.41 TRYING [3]
% 0.17/0.43 TRYING [1]
% 0.17/0.46 TRYING [2]
% 3.24/0.81 TRYING [1]
% 3.24/0.82 TRYING [2]
% 3.77/0.87 TRYING [3]
% 9.53/1.75 TRYING [3]
% 60.95/9.12 % (17364)First to succeed.
% 61.52/9.16 % (17364)Refutation found. Thanks to Tanya!
% 61.52/9.16 % SZS status Theorem for theBenchmark
% 61.52/9.16 % SZS output start Proof for theBenchmark
% See solution above
% 61.52/9.16 % (17364)------------------------------
% 61.52/9.16 % (17364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 61.52/9.16 % (17364)Termination reason: Refutation
% 61.52/9.16
% 61.52/9.16 % (17364)Memory used [KB]: 167883
% 61.52/9.16 % (17364)Time elapsed: 8.781 s
% 61.52/9.16 % (17364)Instructions burned: 18598 (million)
% 61.52/9.16 % (17364)------------------------------
% 61.52/9.16 % (17364)------------------------------
% 61.52/9.16 % (17357)Success in time 8.79 s
%------------------------------------------------------------------------------