TSTP Solution File: GEO621+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO621+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 : n008.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 05:35:40 EDT 2024
% Result : Theorem 4.44s 1.00s
% Output : Refutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 81 ( 30 unt; 0 def)
% Number of atoms : 208 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 177 ( 50 ~; 40 |; 67 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 241 ( 214 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60178,plain,
$false,
inference(subsumption_resolution,[],[f60168,f59363]) ).
fof(f59363,plain,
cyclic(sK6,sK5,sK6,sK11),
inference(unit_resulting_resolution,[],[f48045,f50178,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/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f50178,plain,
cyclic(sK5,sK6,sK5,sK11),
inference(unit_resulting_resolution,[],[f48751,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/sandbox/benchmark/theBenchmark.p',ruleD16) ).
fof(f48751,plain,
cyclic(sK6,sK5,sK5,sK11),
inference(unit_resulting_resolution,[],[f47957,f397]) ).
fof(f397,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(f47957,plain,
cyclic(sK6,sK5,sK11,sK5),
inference(unit_resulting_resolution,[],[f47653,f398]) ).
fof(f398,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(f47653,plain,
cyclic(sK6,sK11,sK5,sK5),
inference(unit_resulting_resolution,[],[f918,f16468,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/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f16468,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
inference(unit_resulting_resolution,[],[f7991,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/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f7991,plain,
para(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f6342,f400]) ).
fof(f400,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(f6342,plain,
para(sK5,sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f503,f377,f434]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,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(f377,plain,
midp(sK8,sK6,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cyclic(sK5,sK11,sK6,sK12)
& coll(sK12,sK4,sK6)
& coll(sK12,sK8,sK11)
& coll(sK11,sK4,sK5)
& perp(sK8,sK10,sK8,sK11)
& circle(sK10,sK7,sK8,sK9)
& midp(sK9,sK4,sK6)
& midp(sK8,sK6,sK5)
& midp(sK7,sK5,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X1,X7,X2,X8)
& coll(X8,X0,X2)
& coll(X8,X4,X7)
& coll(X7,X0,X1)
& perp(X4,X6,X4,X7)
& circle(X6,X3,X4,X5)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& midp(X3,X1,X0) )
=> ( ~ cyclic(sK5,sK11,sK6,sK12)
& coll(sK12,sK4,sK6)
& coll(sK12,sK8,sK11)
& coll(sK11,sK4,sK5)
& perp(sK8,sK10,sK8,sK11)
& circle(sK10,sK7,sK8,sK9)
& midp(sK9,sK4,sK6)
& midp(sK8,sK6,sK5)
& midp(sK7,sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X1,X7,X2,X8)
& coll(X8,X0,X2)
& coll(X8,X4,X7)
& coll(X7,X0,X1)
& perp(X4,X6,X4,X7)
& circle(X6,X3,X4,X5)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& midp(X3,X1,X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X1,X7,X2,X8)
& coll(X8,X0,X2)
& coll(X8,X4,X7)
& coll(X7,X0,X1)
& perp(X4,X6,X4,X7)
& circle(X6,X3,X4,X5)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& midp(X3,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X8,X0,X2)
& coll(X8,X4,X7)
& coll(X7,X0,X1)
& perp(X4,X6,X4,X7)
& circle(X6,X3,X4,X5)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& midp(X3,X1,X0) )
=> cyclic(X1,X7,X2,X8) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12,X13,X18] :
( ( coll(X18,X0,X2)
& coll(X18,X4,X13)
& coll(X13,X0,X1)
& perp(X4,X12,X4,X13)
& circle(X12,X3,X4,X5)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& midp(X3,X1,X0) )
=> cyclic(X1,X13,X2,X18) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12,X13,X18] :
( ( coll(X18,X0,X2)
& coll(X18,X4,X13)
& coll(X13,X0,X1)
& perp(X4,X12,X4,X13)
& circle(X12,X3,X4,X5)
& midp(X5,X0,X2)
& midp(X4,X2,X1)
& midp(X3,X1,X0) )
=> cyclic(X1,X13,X2,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110984) ).
fof(f503,plain,
midp(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f377,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/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f918,plain,
coll(sK5,sK5,sK11),
inference(unit_resulting_resolution,[],[f381,f381,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/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f381,plain,
coll(sK11,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f48045,plain,
cyclic(sK5,sK6,sK5,sK6),
inference(unit_resulting_resolution,[],[f47665,f398]) ).
fof(f47665,plain,
cyclic(sK5,sK5,sK6,sK6),
inference(unit_resulting_resolution,[],[f896,f16481,f415]) ).
fof(f16481,plain,
! [X0,X1] : eqangle(sK6,sK5,X0,X1,sK6,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f7995,f454]) ).
fof(f7995,plain,
para(sK6,sK5,sK6,sK5),
inference(unit_resulting_resolution,[],[f6343,f400]) ).
fof(f6343,plain,
para(sK6,sK5,sK5,sK6),
inference(unit_resulting_resolution,[],[f377,f503,f434]) ).
fof(f896,plain,
coll(sK6,sK6,sK5),
inference(unit_resulting_resolution,[],[f553,f553,f407]) ).
fof(f553,plain,
coll(sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f517,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/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f517,plain,
coll(sK8,sK5,sK6),
inference(unit_resulting_resolution,[],[f503,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/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f60168,plain,
~ cyclic(sK6,sK5,sK6,sK11),
inference(unit_resulting_resolution,[],[f690,f52362,f441]) ).
fof(f52362,plain,
cyclic(sK6,sK5,sK6,sK12),
inference(unit_resulting_resolution,[],[f49005,f396]) ).
fof(f49005,plain,
cyclic(sK5,sK6,sK6,sK12),
inference(unit_resulting_resolution,[],[f48089,f397]) ).
fof(f48089,plain,
cyclic(sK5,sK6,sK12,sK6),
inference(unit_resulting_resolution,[],[f47672,f398]) ).
fof(f47672,plain,
cyclic(sK5,sK12,sK6,sK6),
inference(unit_resulting_resolution,[],[f922,f16481,f415]) ).
fof(f922,plain,
coll(sK6,sK6,sK12),
inference(unit_resulting_resolution,[],[f383,f383,f407]) ).
fof(f383,plain,
coll(sK12,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f690,plain,
~ cyclic(sK5,sK6,sK11,sK12),
inference(unit_resulting_resolution,[],[f384,f398]) ).
fof(f384,plain,
~ cyclic(sK5,sK11,sK6,sK12),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO621+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n008.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 22:01:52 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (21686)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (21689)WARNING: value z3 for option sas not known
% 0.11/0.35 % (21688)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 % (21691)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 % (21690)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (21687)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (21692)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 % (21689)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)
% 0.11/0.35 % (21693)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)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.41 TRYING [3]
% 0.18/0.42 TRYING [1]
% 0.18/0.45 TRYING [2]
% 2.35/0.70 TRYING [1]
% 2.35/0.70 TRYING [2]
% 3.08/0.76 TRYING [3]
% 4.44/0.99 % (21693)First to succeed.
% 4.44/0.99 % (21693)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21686"
% 4.44/1.00 % (21693)Refutation found. Thanks to Tanya!
% 4.44/1.00 % SZS status Theorem for theBenchmark
% 4.44/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 4.44/1.00 % (21693)------------------------------
% 4.44/1.00 % (21693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.44/1.00 % (21693)Termination reason: Refutation
% 4.44/1.00
% 4.44/1.00 % (21693)Memory used [KB]: 8756
% 4.44/1.00 % (21693)Time elapsed: 0.645 s
% 4.44/1.00 % (21693)Instructions burned: 1392 (million)
% 4.44/1.00 % (21686)Success in time 0.651 s
%------------------------------------------------------------------------------