TSTP Solution File: GEO637+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO637+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 : n010.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 05:39:47 EDT 2024
% Result : Theorem 4.64s 1.01s
% Output : Refutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 122 ( 58 unt; 0 def)
% Number of atoms : 250 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 195 ( 67 ~; 52 |; 52 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 281 ( 260 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53330,plain,
$false,
inference(subsumption_resolution,[],[f53320,f52853]) ).
fof(f52853,plain,
cyclic(sK6,sK9,sK10,sK7),
inference(unit_resulting_resolution,[],[f37657,f41866,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,[],[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(f41866,plain,
cyclic(sK6,sK6,sK9,sK7),
inference(unit_resulting_resolution,[],[f36623,f37541,f439]) ).
fof(f37541,plain,
cyclic(sK5,sK6,sK6,sK7),
inference(unit_resulting_resolution,[],[f36561,f395]) ).
fof(f395,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/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f36561,plain,
cyclic(sK5,sK6,sK7,sK6),
inference(unit_resulting_resolution,[],[f36021,f396]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f36021,plain,
cyclic(sK5,sK7,sK6,sK6),
inference(unit_resulting_resolution,[],[f1998,f6034,f413]) ).
fof(f413,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(f6034,plain,
! [X0,X1] : eqangle(sK6,sK5,X0,X1,sK6,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f5205,f452]) ).
fof(f452,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(f5205,plain,
para(sK6,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f5192,f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5192,plain,
para(sK6,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f377,f500,f431]) ).
fof(f431,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(f500,plain,
midp(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f377,f383]) ).
fof(f383,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(f377,plain,
midp(sK8,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cyclic(sK4,sK7,sK10,sK9)
& perp(sK4,sK7,sK4,sK10)
& perp(sK6,sK7,sK6,sK10)
& coll(sK9,sK4,sK5)
& coll(sK9,sK7,sK8)
& midp(sK8,sK6,sK5)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X3,X6,X5)
& perp(X0,X3,X0,X6)
& perp(X2,X3,X2,X6)
& coll(X5,X0,X1)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ cyclic(sK4,sK7,sK10,sK9)
& perp(sK4,sK7,sK4,sK10)
& perp(sK6,sK7,sK6,sK10)
& coll(sK9,sK4,sK5)
& coll(sK9,sK7,sK8)
& midp(sK8,sK6,sK5)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X3,X6,X5)
& perp(X0,X3,X0,X6)
& perp(X2,X3,X2,X6)
& coll(X5,X0,X1)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X3,X6,X5)
& perp(X0,X3,X0,X6)
& perp(X2,X3,X2,X6)
& coll(X5,X0,X1)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X0,X3,X0,X6)
& perp(X2,X3,X2,X6)
& coll(X5,X0,X1)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> cyclic(X0,X3,X6,X5) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X13,X3,X4] :
( ( perp(X0,X7,X0,X4)
& perp(X2,X7,X2,X4)
& coll(X3,X0,X1)
& coll(X3,X7,X13)
& midp(X13,X2,X1)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X7,X4,X3) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X13,X3,X4] :
( ( perp(X0,X7,X0,X4)
& perp(X2,X7,X2,X4)
& coll(X3,X0,X1)
& coll(X3,X7,X13)
& midp(X13,X2,X1)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X7,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109101) ).
fof(f1998,plain,
coll(sK6,sK6,sK7),
inference(unit_resulting_resolution,[],[f1478,f1478,f405]) ).
fof(f405,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(f1478,plain,
coll(sK7,sK8,sK6),
inference(unit_resulting_resolution,[],[f1085,f386]) ).
fof(f386,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(f1085,plain,
coll(sK7,sK6,sK8),
inference(unit_resulting_resolution,[],[f760,f759,f405]) ).
fof(f759,plain,
coll(sK8,sK8,sK6),
inference(unit_resulting_resolution,[],[f549,f549,f405]) ).
fof(f549,plain,
coll(sK6,sK5,sK8),
inference(unit_resulting_resolution,[],[f524,f386]) ).
fof(f524,plain,
coll(sK6,sK8,sK5),
inference(unit_resulting_resolution,[],[f504,f387]) ).
fof(f387,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(f504,plain,
coll(sK8,sK6,sK5),
inference(unit_resulting_resolution,[],[f377,f384]) ).
fof(f384,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(f760,plain,
coll(sK8,sK8,sK7),
inference(unit_resulting_resolution,[],[f522,f522,f405]) ).
fof(f522,plain,
coll(sK7,sK9,sK8),
inference(unit_resulting_resolution,[],[f378,f387]) ).
fof(f378,plain,
coll(sK9,sK7,sK8),
inference(cnf_transformation,[],[f330]) ).
fof(f36623,plain,
cyclic(sK5,sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f36318,f395]) ).
fof(f36318,plain,
cyclic(sK5,sK6,sK9,sK6),
inference(unit_resulting_resolution,[],[f36023,f396]) ).
fof(f36023,plain,
cyclic(sK5,sK9,sK6,sK6),
inference(unit_resulting_resolution,[],[f1618,f6034,f413]) ).
fof(f1618,plain,
coll(sK6,sK6,sK9),
inference(unit_resulting_resolution,[],[f1150,f1150,f405]) ).
fof(f1150,plain,
coll(sK9,sK5,sK6),
inference(unit_resulting_resolution,[],[f886,f386]) ).
fof(f886,plain,
coll(sK9,sK6,sK5),
inference(unit_resulting_resolution,[],[f766,f758,f405]) ).
fof(f758,plain,
coll(sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f524,f524,f405]) ).
fof(f766,plain,
coll(sK5,sK5,sK9),
inference(unit_resulting_resolution,[],[f379,f379,f405]) ).
fof(f379,plain,
coll(sK9,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f37657,plain,
cyclic(sK6,sK6,sK9,sK10),
inference(unit_resulting_resolution,[],[f36352,f36623,f439]) ).
fof(f36352,plain,
cyclic(sK5,sK6,sK6,sK10),
inference(unit_resulting_resolution,[],[f36142,f395]) ).
fof(f36142,plain,
cyclic(sK5,sK6,sK10,sK6),
inference(unit_resulting_resolution,[],[f36024,f396]) ).
fof(f36024,plain,
cyclic(sK5,sK10,sK6,sK6),
inference(unit_resulting_resolution,[],[f11705,f6034,f413]) ).
fof(f11705,plain,
coll(sK6,sK6,sK10),
inference(unit_resulting_resolution,[],[f11698,f11698,f405]) ).
fof(f11698,plain,
coll(sK10,sK10,sK6),
inference(unit_resulting_resolution,[],[f11683,f11683,f405]) ).
fof(f11683,plain,
coll(sK6,sK10,sK10),
inference(unit_resulting_resolution,[],[f11092,f388]) ).
fof(f388,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/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f11092,plain,
para(sK6,sK10,sK6,sK10),
inference(unit_resulting_resolution,[],[f696,f380,f468]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f380,plain,
perp(sK6,sK7,sK6,sK10),
inference(cnf_transformation,[],[f330]) ).
fof(f696,plain,
perp(sK6,sK10,sK6,sK7),
inference(unit_resulting_resolution,[],[f380,f403]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f53320,plain,
~ cyclic(sK6,sK9,sK10,sK7),
inference(unit_resulting_resolution,[],[f644,f42108,f439]) ).
fof(f42108,plain,
cyclic(sK6,sK9,sK10,sK4),
inference(unit_resulting_resolution,[],[f37652,f37657,f439]) ).
fof(f37652,plain,
cyclic(sK6,sK6,sK9,sK4),
inference(unit_resulting_resolution,[],[f36586,f36623,f439]) ).
fof(f36586,plain,
cyclic(sK5,sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f36307,f395]) ).
fof(f36307,plain,
cyclic(sK5,sK6,sK4,sK6),
inference(unit_resulting_resolution,[],[f36018,f396]) ).
fof(f36018,plain,
cyclic(sK5,sK4,sK6,sK6),
inference(unit_resulting_resolution,[],[f1603,f6034,f413]) ).
fof(f1603,plain,
coll(sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f1143,f1143,f405]) ).
fof(f1143,plain,
coll(sK4,sK5,sK6),
inference(unit_resulting_resolution,[],[f883,f386]) ).
fof(f883,plain,
coll(sK4,sK6,sK5),
inference(unit_resulting_resolution,[],[f752,f758,f405]) ).
fof(f752,plain,
coll(sK5,sK5,sK4),
inference(unit_resulting_resolution,[],[f520,f520,f405]) ).
fof(f520,plain,
coll(sK4,sK9,sK5),
inference(unit_resulting_resolution,[],[f379,f387]) ).
fof(f644,plain,
~ cyclic(sK9,sK10,sK7,sK4),
inference(unit_resulting_resolution,[],[f631,f396]) ).
fof(f631,plain,
~ cyclic(sK9,sK7,sK10,sK4),
inference(unit_resulting_resolution,[],[f612,f394]) ).
fof(f394,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(f612,plain,
~ cyclic(sK7,sK9,sK10,sK4),
inference(unit_resulting_resolution,[],[f595,f395]) ).
fof(f595,plain,
~ cyclic(sK7,sK9,sK4,sK10),
inference(unit_resulting_resolution,[],[f587,f396]) ).
fof(f587,plain,
~ cyclic(sK7,sK4,sK9,sK10),
inference(unit_resulting_resolution,[],[f584,f395]) ).
fof(f584,plain,
~ cyclic(sK7,sK4,sK10,sK9),
inference(unit_resulting_resolution,[],[f382,f394]) ).
fof(f382,plain,
~ cyclic(sK4,sK7,sK10,sK9),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO637+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 22:05:53 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (30305)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (30307)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (30308)WARNING: value z3 for option sas not known
% 0.11/0.35 % (30312)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)
% 0.11/0.35 % (30311)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)
% 0.11/0.35 % (30309)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (30310)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)
% 0.11/0.35 % (30308)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)
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.11/0.37 % (30306)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.42 TRYING [3]
% 0.17/0.45 TRYING [1]
% 0.17/0.48 TRYING [2]
% 1.58/0.60 TRYING [1]
% 1.58/0.60 TRYING [2]
% 2.19/0.66 TRYING [3]
% 4.64/1.00 % (30312)First to succeed.
% 4.64/1.00 % (30312)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30305"
% 4.64/1.01 % (30312)Refutation found. Thanks to Tanya!
% 4.64/1.01 % SZS status Theorem for theBenchmark
% 4.64/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 4.64/1.01 % (30312)------------------------------
% 4.64/1.01 % (30312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.64/1.01 % (30312)Termination reason: Refutation
% 4.64/1.01
% 4.64/1.01 % (30312)Memory used [KB]: 10617
% 4.64/1.01 % (30312)Time elapsed: 0.651 s
% 4.64/1.01 % (30312)Instructions burned: 1492 (million)
% 4.64/1.01 % (30305)Success in time 0.668 s
%------------------------------------------------------------------------------