TSTP Solution File: GEO612+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO612+1 : TPTP v8.2.0. 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 : Mon May 20 20:33:14 EDT 2024
% Result : Theorem 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 75 ( 29 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 180 ( 51 ~; 38 |; 74 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 226 ( 199 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24648,plain,
$false,
inference(subsumption_resolution,[],[f24642,f23087]) ).
fof(f23087,plain,
~ cyclic(sK4,sK5,sK4,sK11),
inference(unit_resulting_resolution,[],[f637,f19892,f442]) ).
fof(f442,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(f19892,plain,
cyclic(sK4,sK5,sK4,sK10),
inference(unit_resulting_resolution,[],[f18732,f397]) ).
fof(f397,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(f18732,plain,
cyclic(sK5,sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f18302,f398]) ).
fof(f398,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(f18302,plain,
cyclic(sK5,sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f18128,f399]) ).
fof(f399,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(f18128,plain,
cyclic(sK5,sK10,sK4,sK4),
inference(unit_resulting_resolution,[],[f788,f10189,f416]) ).
fof(f416,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(f10189,plain,
! [X0,X1] : eqangle(sK4,sK5,X0,X1,sK4,sK5,X0,X1),
inference(unit_resulting_resolution,[],[f10070,f455]) ).
fof(f455,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(f10070,plain,
para(sK4,sK5,sK4,sK5),
inference(unit_resulting_resolution,[],[f683,f377,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,[],[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(f377,plain,
perp(sK8,sK6,sK4,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ cyclic(sK4,sK10,sK11,sK5)
& coll(sK11,sK5,sK6)
& perp(sK11,sK9,sK5,sK6)
& coll(sK10,sK4,sK6)
& perp(sK10,sK9,sK4,sK6)
& coll(sK9,sK6,sK8)
& circle(sK7,sK6,sK9,sK12)
& coll(sK8,sK4,sK5)
& perp(sK8,sK6,sK4,sK5)
& circle(sK7,sK4,sK5,sK6) ),
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(X0,X6,X7,X1)
& coll(X7,X1,X2)
& perp(X7,X5,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X8)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ cyclic(sK4,sK10,sK11,sK5)
& coll(sK11,sK5,sK6)
& perp(sK11,sK9,sK5,sK6)
& coll(sK10,sK4,sK6)
& perp(sK10,sK9,sK4,sK6)
& coll(sK9,sK6,sK8)
& circle(sK7,sK6,sK9,sK12)
& coll(sK8,sK4,sK5)
& perp(sK8,sK6,sK4,sK5)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X0,X6,X7,X1)
& coll(X7,X1,X2)
& perp(X7,X5,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X8)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X0,X6,X7,X1)
& coll(X7,X1,X2)
& perp(X7,X5,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X8)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X1,X2)
& perp(X7,X5,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X2,X4)
& circle(X3,X2,X5,X8)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> cyclic(X0,X6,X7,X1) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X12,X3,X4,X5,X18] :
( ( coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X2,X12)
& circle(X7,X2,X3,X18)
& coll(X12,X0,X1)
& perp(X12,X2,X0,X1)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X4,X5,X1) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X12,X3,X4,X5,X18] :
( ( coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X2,X12)
& circle(X7,X2,X3,X18)
& coll(X12,X0,X1)
& perp(X12,X2,X0,X1)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X4,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).
fof(f683,plain,
perp(sK4,sK5,sK8,sK6),
inference(unit_resulting_resolution,[],[f377,f406]) ).
fof(f406,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(f788,plain,
coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f505,f505,f408]) ).
fof(f408,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(f505,plain,
coll(sK10,sK6,sK4),
inference(unit_resulting_resolution,[],[f382,f389]) ).
fof(f389,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(f382,plain,
coll(sK10,sK4,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f637,plain,
~ cyclic(sK5,sK4,sK11,sK10),
inference(unit_resulting_resolution,[],[f618,f397]) ).
fof(f618,plain,
~ cyclic(sK4,sK5,sK11,sK10),
inference(unit_resulting_resolution,[],[f609,f398]) ).
fof(f609,plain,
~ cyclic(sK4,sK5,sK10,sK11),
inference(unit_resulting_resolution,[],[f601,f399]) ).
fof(f601,plain,
~ cyclic(sK4,sK10,sK5,sK11),
inference(unit_resulting_resolution,[],[f385,f398]) ).
fof(f385,plain,
~ cyclic(sK4,sK10,sK11,sK5),
inference(cnf_transformation,[],[f330]) ).
fof(f24642,plain,
cyclic(sK4,sK5,sK4,sK11),
inference(unit_resulting_resolution,[],[f20827,f397]) ).
fof(f20827,plain,
cyclic(sK5,sK4,sK4,sK11),
inference(unit_resulting_resolution,[],[f18948,f398]) ).
fof(f18948,plain,
cyclic(sK5,sK4,sK11,sK4),
inference(unit_resulting_resolution,[],[f18129,f399]) ).
fof(f18129,plain,
cyclic(sK5,sK11,sK4,sK4),
inference(unit_resulting_resolution,[],[f1819,f10189,f416]) ).
fof(f1819,plain,
coll(sK4,sK4,sK11),
inference(unit_resulting_resolution,[],[f1084,f1084,f408]) ).
fof(f1084,plain,
coll(sK11,sK6,sK4),
inference(unit_resulting_resolution,[],[f858,f389]) ).
fof(f858,plain,
coll(sK11,sK4,sK6),
inference(unit_resulting_resolution,[],[f789,f770,f408]) ).
fof(f770,plain,
coll(sK6,sK6,sK4),
inference(unit_resulting_resolution,[],[f523,f523,f408]) ).
fof(f523,plain,
coll(sK4,sK10,sK6),
inference(unit_resulting_resolution,[],[f382,f390]) ).
fof(f390,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(f789,plain,
coll(sK6,sK6,sK11),
inference(unit_resulting_resolution,[],[f384,f384,f408]) ).
fof(f384,plain,
coll(sK11,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO612+1 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n010.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 13:45:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (9262)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (9269)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)
% 0.16/0.39 % (9264)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (9263)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (9266)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40 % (9267)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)
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [2]
% 0.22/0.41 % (9265)WARNING: value z3 for option sas not known
% 0.22/0.41 % (9268)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)
% 0.22/0.41 % (9265)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)
% 0.22/0.48 TRYING [3]
% 0.22/0.49 TRYING [1]
% 0.22/0.51 TRYING [2]
% 0.22/0.56 % (9269)First to succeed.
% 0.22/0.56 % (9269)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9262"
% 0.22/0.57 % (9269)Refutation found. Thanks to Tanya!
% 0.22/0.57 % SZS status Theorem for theBenchmark
% 0.22/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.57 % (9269)------------------------------
% 0.22/0.57 % (9269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.57 % (9269)Termination reason: Refutation
% 0.22/0.57
% 0.22/0.57 % (9269)Memory used [KB]: 3487
% 0.22/0.57 % (9269)Time elapsed: 0.176 s
% 0.22/0.57 % (9269)Instructions burned: 486 (million)
% 0.22/0.57 % (9262)Success in time 0.178 s
%------------------------------------------------------------------------------