TSTP Solution File: GEO654+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO654+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 : n023.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 11:41:33 EDT 2024
% Result : Theorem 8.57s 1.58s
% Output : Refutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 148 ( 65 unt; 0 def)
% Number of atoms : 365 ( 0 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 320 ( 103 ~; 89 |; 98 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 433 ( 382 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107745,plain,
$false,
inference(subsumption_resolution,[],[f107719,f85034]) ).
fof(f85034,plain,
cong(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f21405,f21527,f17026,f3929,f468]) ).
fof(f468,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(f3929,plain,
! [X0,X1] : eqangle(sK6,sK8,X0,X1,sK6,sK8,X0,X1),
inference(unit_resulting_resolution,[],[f3802,f456]) ).
fof(f456,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(f3802,plain,
para(sK6,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f568,f573,f471]) ).
fof(f471,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,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,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(f573,plain,
perp(sK11,sK8,sK6,sK8),
inference(unit_resulting_resolution,[],[f568,f405]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,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(f568,plain,
perp(sK6,sK8,sK11,sK8),
inference(unit_resulting_resolution,[],[f385,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,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(f385,plain,
perp(sK6,sK8,sK8,sK11),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ para(sK11,sK8,sK10,sK9)
& perp(sK6,sK8,sK8,sK11)
& circle(sK4,sK5,sK10,sK20)
& coll(sK5,sK8,sK10)
& circle(sK4,sK7,sK9,sK19)
& coll(sK7,sK8,sK9)
& circle(sK6,sK5,sK8,sK18)
& circle(sK6,sK5,sK7,sK17)
& circle(sK4,sK5,sK7,sK16)
& circle(sK6,sK5,sK14,sK15)
& circle(sK4,sK5,sK12,sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ para(X7,X4,X6,X5)
& perp(X2,X4,X4,X7)
& circle(X0,X1,X6,X16)
& coll(X1,X4,X6)
& circle(X0,X3,X5,X15)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X14)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) )
=> ( ~ para(sK11,sK8,sK10,sK9)
& perp(sK6,sK8,sK8,sK11)
& circle(sK4,sK5,sK10,sK20)
& coll(sK5,sK8,sK10)
& circle(sK4,sK7,sK9,sK19)
& coll(sK7,sK8,sK9)
& circle(sK6,sK5,sK8,sK18)
& circle(sK6,sK5,sK7,sK17)
& circle(sK4,sK5,sK7,sK16)
& circle(sK6,sK5,sK14,sK15)
& circle(sK4,sK5,sK12,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ para(X7,X4,X6,X5)
& perp(X2,X4,X4,X7)
& circle(X0,X1,X6,X16)
& coll(X1,X4,X6)
& circle(X0,X3,X5,X15)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X14)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ para(X7,X4,X6,X5)
& perp(X2,X4,X4,X7)
& circle(X0,X1,X6,X16)
& coll(X1,X4,X6)
& circle(X0,X3,X5,X15)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X14)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( perp(X2,X4,X4,X7)
& circle(X0,X1,X6,X16)
& coll(X1,X4,X6)
& circle(X0,X3,X5,X15)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X14)
& circle(X2,X1,X3,X13)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X8,X9) )
=> para(X7,X4,X6,X5) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( perp(X2,X4,X4,X13)
& circle(X0,X1,X12,X26)
& coll(X1,X4,X12)
& circle(X0,X3,X5,X25)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X24)
& circle(X2,X1,X3,X23)
& circle(X0,X1,X3,X22)
& circle(X2,X1,X20,X21)
& circle(X0,X1,X18,X19) )
=> para(X13,X4,X12,X5) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( perp(X2,X4,X4,X13)
& circle(X0,X1,X12,X26)
& coll(X1,X4,X12)
& circle(X0,X3,X5,X25)
& coll(X3,X4,X5)
& circle(X2,X1,X4,X24)
& circle(X2,X1,X3,X23)
& circle(X0,X1,X3,X22)
& circle(X2,X1,X20,X21)
& circle(X0,X1,X18,X19) )
=> para(X13,X4,X12,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0228) ).
fof(f17026,plain,
cyclic(sK8,sK10,sK6,sK6),
inference(unit_resulting_resolution,[],[f4201,f3929,f417]) ).
fof(f417,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(f4201,plain,
coll(sK6,sK6,sK10),
inference(unit_resulting_resolution,[],[f4039,f4039,f409]) ).
fof(f409,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(f4039,plain,
coll(sK10,sK8,sK6),
inference(unit_resulting_resolution,[],[f3962,f390]) ).
fof(f390,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(f3962,plain,
coll(sK10,sK6,sK8),
inference(unit_resulting_resolution,[],[f609,f3940,f409]) ).
fof(f3940,plain,
coll(sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f3922,f3922,f409]) ).
fof(f3922,plain,
coll(sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f3802,f392]) ).
fof(f392,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(f609,plain,
coll(sK8,sK8,sK10),
inference(unit_resulting_resolution,[],[f515,f515,f409]) ).
fof(f515,plain,
coll(sK10,sK5,sK8),
inference(unit_resulting_resolution,[],[f505,f391]) ).
fof(f391,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(f505,plain,
coll(sK5,sK10,sK8),
inference(unit_resulting_resolution,[],[f383,f390]) ).
fof(f383,plain,
coll(sK5,sK8,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f21527,plain,
cyclic(sK8,sK10,sK6,sK10),
inference(unit_resulting_resolution,[],[f17299,f18257,f439]) ).
fof(f439,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f238]) ).
fof(f238,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(f18257,plain,
cyclic(sK6,sK8,sK10,sK10),
inference(unit_resulting_resolution,[],[f17547,f17547,f439]) ).
fof(f17547,plain,
cyclic(sK6,sK6,sK8,sK10),
inference(unit_resulting_resolution,[],[f17046,f17298,f439]) ).
fof(f17298,plain,
cyclic(sK8,sK6,sK6,sK10),
inference(unit_resulting_resolution,[],[f17100,f399]) ).
fof(f399,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(f17100,plain,
cyclic(sK8,sK6,sK10,sK6),
inference(unit_resulting_resolution,[],[f17026,f400]) ).
fof(f400,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(f17046,plain,
cyclic(sK8,sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f17034,f399]) ).
fof(f17034,plain,
cyclic(sK8,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f17024,f400]) ).
fof(f17024,plain,
cyclic(sK8,sK8,sK6,sK6),
inference(unit_resulting_resolution,[],[f3958,f3929,f417]) ).
fof(f3958,plain,
coll(sK6,sK6,sK8),
inference(unit_resulting_resolution,[],[f3940,f3940,f409]) ).
fof(f17299,plain,
cyclic(sK6,sK8,sK10,sK6),
inference(unit_resulting_resolution,[],[f17100,f398]) ).
fof(f398,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(f21405,plain,
cyclic(sK8,sK10,sK6,sK8),
inference(unit_resulting_resolution,[],[f17299,f18249,f439]) ).
fof(f18249,plain,
cyclic(sK6,sK8,sK10,sK8),
inference(unit_resulting_resolution,[],[f17122,f17547,f439]) ).
fof(f17122,plain,
cyclic(sK6,sK6,sK8,sK8),
inference(unit_resulting_resolution,[],[f17046,f17046,f439]) ).
fof(f107719,plain,
~ cong(sK8,sK10,sK8,sK10),
inference(unit_resulting_resolution,[],[f101324,f85033,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,[],[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/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f85033,plain,
cong(sK8,sK9,sK8,sK9),
inference(unit_resulting_resolution,[],[f20257,f20332,f17025,f3929,f468]) ).
fof(f17025,plain,
cyclic(sK8,sK9,sK6,sK6),
inference(unit_resulting_resolution,[],[f4174,f3929,f417]) ).
fof(f4174,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f4032,f4032,f409]) ).
fof(f4032,plain,
coll(sK9,sK8,sK6),
inference(unit_resulting_resolution,[],[f3961,f390]) ).
fof(f3961,plain,
coll(sK9,sK6,sK8),
inference(unit_resulting_resolution,[],[f611,f3940,f409]) ).
fof(f611,plain,
coll(sK8,sK8,sK9),
inference(unit_resulting_resolution,[],[f514,f514,f409]) ).
fof(f514,plain,
coll(sK9,sK7,sK8),
inference(unit_resulting_resolution,[],[f504,f391]) ).
fof(f504,plain,
coll(sK7,sK9,sK8),
inference(unit_resulting_resolution,[],[f381,f390]) ).
fof(f381,plain,
coll(sK7,sK8,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f20332,plain,
cyclic(sK8,sK9,sK6,sK9),
inference(unit_resulting_resolution,[],[f17266,f18029,f439]) ).
fof(f18029,plain,
cyclic(sK6,sK8,sK9,sK9),
inference(unit_resulting_resolution,[],[f17494,f17494,f439]) ).
fof(f17494,plain,
cyclic(sK6,sK6,sK8,sK9),
inference(unit_resulting_resolution,[],[f17046,f17265,f439]) ).
fof(f17265,plain,
cyclic(sK8,sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f17089,f399]) ).
fof(f17089,plain,
cyclic(sK8,sK6,sK9,sK6),
inference(unit_resulting_resolution,[],[f17025,f400]) ).
fof(f17266,plain,
cyclic(sK6,sK8,sK9,sK6),
inference(unit_resulting_resolution,[],[f17089,f398]) ).
fof(f20257,plain,
cyclic(sK8,sK9,sK6,sK8),
inference(unit_resulting_resolution,[],[f17266,f18023,f439]) ).
fof(f18023,plain,
cyclic(sK6,sK8,sK9,sK8),
inference(unit_resulting_resolution,[],[f17122,f17494,f439]) ).
fof(f101324,plain,
~ perp(sK8,sK8,sK10,sK9),
inference(unit_resulting_resolution,[],[f87081,f88781,f471]) ).
fof(f88781,plain,
perp(sK6,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f86284,f86284,f415]) ).
fof(f86284,plain,
cong(sK6,sK8,sK8,sK8),
inference(unit_resulting_resolution,[],[f85046,f85042,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,[],[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/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f85042,plain,
perp(sK6,sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f85030,f17024,f85030,f413]) ).
fof(f413,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(f85030,plain,
cong(sK8,sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f17046,f17022,f17022,f3929,f468]) ).
fof(f17022,plain,
cyclic(sK8,sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f4125,f3929,f417]) ).
fof(f4125,plain,
coll(sK6,sK6,sK6),
inference(unit_resulting_resolution,[],[f4018,f4018,f409]) ).
fof(f4018,plain,
coll(sK6,sK8,sK6),
inference(unit_resulting_resolution,[],[f3958,f390]) ).
fof(f85046,plain,
midp(sK8,sK6,sK6),
inference(unit_resulting_resolution,[],[f4130,f85030,f394]) ).
fof(f394,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(f4130,plain,
coll(sK8,sK6,sK6),
inference(unit_resulting_resolution,[],[f4018,f391]) ).
fof(f87081,plain,
~ para(sK6,sK8,sK10,sK9),
inference(unit_resulting_resolution,[],[f86268,f403]) ).
fof(f403,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(f86268,plain,
~ para(sK10,sK9,sK6,sK8),
inference(unit_resulting_resolution,[],[f3801,f85042,f470]) ).
fof(f470,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(f3801,plain,
~ perp(sK10,sK9,sK8,sK6),
inference(unit_resulting_resolution,[],[f554,f588,f471]) ).
fof(f588,plain,
perp(sK8,sK6,sK11,sK8),
inference(unit_resulting_resolution,[],[f581,f405]) ).
fof(f581,plain,
perp(sK11,sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f573,f404]) ).
fof(f554,plain,
~ para(sK10,sK9,sK11,sK8),
inference(unit_resulting_resolution,[],[f386,f403]) ).
fof(f386,plain,
~ para(sK11,sK8,sK10,sK9),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO654+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 05:53:25 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (16699)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (16703)WARNING: value z3 for option sas not known
% 0.22/0.38 % (16702)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (16704)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (16705)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)
% 0.22/0.38 % (16700)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (16703)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)
% 0.22/0.38 % (16707)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)
% 0.22/0.38 % (16706)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)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.45 TRYING [3]
% 0.22/0.46 TRYING [1]
% 0.22/0.49 TRYING [2]
% 5.49/1.13 TRYING [1]
% 5.49/1.14 TRYING [2]
% 5.76/1.17 TRYING [3]
% 5.76/1.19 TRYING [3]
% 8.57/1.57 % (16707)First to succeed.
% 8.57/1.58 % (16707)Refutation found. Thanks to Tanya!
% 8.57/1.58 % SZS status Theorem for theBenchmark
% 8.57/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 8.57/1.58 % (16707)------------------------------
% 8.57/1.58 % (16707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 8.57/1.58 % (16707)Termination reason: Refutation
% 8.57/1.58
% 8.57/1.58 % (16707)Memory used [KB]: 28544
% 8.57/1.58 % (16707)Time elapsed: 1.200 s
% 8.57/1.58 % (16707)Instructions burned: 4071 (million)
% 8.57/1.58 % (16707)------------------------------
% 8.57/1.58 % (16707)------------------------------
% 8.57/1.58 % (16699)Success in time 1.211 s
%------------------------------------------------------------------------------