TSTP Solution File: GEO275+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO275+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 16:09:38 EDT 2022
% Result : Theorem 1.84s 0.65s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 108 ( 37 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 125 ( 47 ~; 42 |; 32 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 54 ( 44 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1087,plain,
$false,
inference(trivial_inequality_removal,[],[f1077]) ).
fof(f1077,plain,
vf(sK32,sK14) != vf(sK32,sK14),
inference(unit_resulting_resolution,[],[f407,f528,f407,f529,f533,f522,f534,f1033]) ).
fof(f1033,plain,
! [X3,X1,X6,X4,X5] :
( vf(X4,X6) != vf(X4,X5)
| ~ ron(X6,X3)
| X1 = X3
| ~ rpoint(X6)
| ~ rcenter(X4,X1)
| ~ rpoint(X5)
| ~ ron(X5,X1)
| ~ rcenter(X4,X3) ),
inference(equality_resolution,[],[f1032]) ).
fof(f1032,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ ron(X6,X3)
| ~ rcenter(X4,X3)
| ~ rcenter(X4,X1)
| ~ rpoint(X6)
| X1 = X3
| X2 != X5
| ~ rpoint(X5)
| vf(X4,X6) != vf(X4,X2)
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f523]) ).
fof(f523,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X0,X3)
| ~ rcenter(X4,X3)
| ~ rcenter(X4,X1)
| ~ rpoint(X6)
| X0 != X6
| X1 = X3
| X2 != X5
| ~ rpoint(X5)
| vf(X4,X0) != vf(X4,X2)
| ~ ron(X2,X1) ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X1,X0,X4,X3,X2] :
( ~ ron(X2,X1)
| vf(X4,X0) != vf(X4,X2)
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X1 = X3
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) )
| ~ rcenter(X4,X1)
| ~ rcenter(X4,X3)
| ~ ron(X0,X3) ),
inference(flattening,[],[f317]) ).
fof(f317,plain,
! [X4,X2,X0,X1,X3] :
( X1 = X3
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ ron(X2,X1)
| ~ ron(X0,X3)
| vf(X4,X0) != vf(X4,X2)
| ~ rcenter(X4,X3)
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) )
| ~ rcenter(X4,X1) ),
inference(ennf_transformation,[],[f130]) ).
fof(f130,plain,
! [X4,X2,X0,X1,X3] :
( ( ? [X5] :
( X2 = X5
& rpoint(X5) )
& ron(X2,X1)
& ron(X0,X3)
& vf(X4,X0) = vf(X4,X2)
& rcenter(X4,X3)
& ? [X6] :
( rpoint(X6)
& X0 = X6 )
& rcenter(X4,X1) )
=> X1 = X3 ),
inference(rectify,[],[f107]) ).
fof(f107,axiom,
! [X607,X611,X608,X610,X609] :
( ( ron(X608,X611)
& ron(X607,X610)
& vf(X609,X607) = vf(X609,X608)
& rcenter(X609,X610)
& rcenter(X609,X611)
& ? [X612] :
( rpoint(X612)
& X608 = X612 )
& ? [X613] :
( X607 = X613
& rpoint(X613) ) )
=> X610 = X611 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f534,plain,
ron(sK14,sK41),
inference(definition_unfolding,[],[f519,f406]) ).
fof(f406,plain,
vd1081 = sK14,
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
? [X0] :
( rpoint(X0)
& vd1081 = X0 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
? [X1] :
( vd1081 = X1
& rpoint(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).
fof(f519,plain,
ron(vd1081,sK41),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
? [X0] :
( vd1095 != X0
& rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) ),
inference(flattening,[],[f257]) ).
fof(f257,plain,
? [X0] :
( vd1095 != X0
& rcenter(vd1080,X0)
& ron(vd1081,X0)
& rcircle(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rcenter(vd1080,X0)
& ron(vd1081,X0)
& rcircle(X0) )
=> vd1095 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( rcenter(vd1080,X0)
& ron(vd1081,X0)
& rcircle(X0) )
=> vd1095 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(228), 1), imp(the(228)))') ).
fof(f522,plain,
vd1095 != sK41,
inference(cnf_transformation,[],[f258]) ).
fof(f533,plain,
rcenter(sK32,sK41),
inference(definition_unfolding,[],[f520,f483]) ).
fof(f483,plain,
vd1080 = sK32,
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
? [X0] :
( rpoint(X0)
& vd1080 = X0 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
? [X2] :
( rpoint(X2)
& vd1080 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof(f520,plain,
rcenter(vd1080,sK41),
inference(cnf_transformation,[],[f258]) ).
fof(f529,plain,
rcenter(sK32,vd1095),
inference(definition_unfolding,[],[f420,f483]) ).
fof(f420,plain,
rcenter(vd1080,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rcircle(vd1095)
& ron(vd1081,vd1095)
& rcenter(vd1080,vd1095) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof(f528,plain,
ron(sK14,vd1095),
inference(definition_unfolding,[],[f421,f406]) ).
fof(f421,plain,
ron(vd1081,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f407,plain,
rpoint(sK14),
inference(cnf_transformation,[],[f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO275+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.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 : Mon Aug 29 21:36:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.57 % (16988)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.57 % (16990)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.58 % (17004)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.58 % (17006)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.58 % (16996)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58 % (16998)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.58 % (16995)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58 % (16996)Instruction limit reached!
% 0.21/0.58 % (16996)------------------------------
% 0.21/0.58 % (16996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (16996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (16996)Termination reason: Unknown
% 0.21/0.59 % (16996)Termination phase: Preprocessing 1
% 0.21/0.59
% 0.21/0.59 % (16996)Memory used [KB]: 2174
% 0.21/0.59 % (16996)Time elapsed: 0.004 s
% 0.21/0.59 % (16996)Instructions burned: 3 (million)
% 0.21/0.59 % (16996)------------------------------
% 0.21/0.59 % (16996)------------------------------
% 0.21/0.59 % (17011)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.53/0.60 % (17003)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.84/0.61 % (17000)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.84/0.61 % (17005)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.84/0.62 % (16992)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.84/0.62 % (16997)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.84/0.62 % (16983)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.84/0.62 % (17007)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.84/0.62 % (16988)Instruction limit reached!
% 1.84/0.62 % (16988)------------------------------
% 1.84/0.62 % (16988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62 % (16988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.62 % (16988)Termination reason: Unknown
% 1.84/0.62 % (16988)Termination phase: Saturation
% 1.84/0.62
% 1.84/0.62 % (16988)Memory used [KB]: 7675
% 1.84/0.62 % (16988)Time elapsed: 0.177 s
% 1.84/0.62 % (16988)Instructions burned: 40 (million)
% 1.84/0.62 % (16988)------------------------------
% 1.84/0.62 % (16988)------------------------------
% 1.84/0.62 % (17008)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.84/0.62 % (16986)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.84/0.63 % (16985)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.84/0.63 % (16999)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.84/0.63 % (16999)Instruction limit reached!
% 1.84/0.63 % (16999)------------------------------
% 1.84/0.63 % (16999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63 % (16999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63 % (16999)Termination reason: Unknown
% 1.84/0.63 % (16999)Termination phase: Preprocessing 1
% 1.84/0.63
% 1.84/0.63 % (16999)Memory used [KB]: 2430
% 1.84/0.63 % (16999)Time elapsed: 0.004 s
% 1.84/0.63 % (16999)Instructions burned: 4 (million)
% 1.84/0.63 % (16999)------------------------------
% 1.84/0.63 % (16999)------------------------------
% 1.84/0.63 % (16993)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.84/0.63 % (16989)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.84/0.63 % (16990)First to succeed.
% 1.84/0.63 % (17000)Instruction limit reached!
% 1.84/0.63 % (17000)------------------------------
% 1.84/0.63 % (17000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63 % (17000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63 % (17000)Termination reason: Unknown
% 1.84/0.63 % (17000)Termination phase: shuffling
% 1.84/0.63
% 1.84/0.63 % (17000)Memory used [KB]: 1791
% 1.84/0.63 % (17000)Time elapsed: 0.003 s
% 1.84/0.63 % (17000)Instructions burned: 2 (million)
% 1.84/0.63 % (17000)------------------------------
% 1.84/0.63 % (17000)------------------------------
% 1.84/0.64 % (16984)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.84/0.64 % (17009)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.84/0.64 % (16991)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.84/0.64 % (17001)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.84/0.64 % (16997)Instruction limit reached!
% 1.84/0.64 % (16997)------------------------------
% 1.84/0.64 % (16997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.64 % (16997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.64 % (16997)Termination reason: Unknown
% 1.84/0.64 % (16997)Termination phase: shuffling
% 1.84/0.64
% 1.84/0.64 % (16997)Memory used [KB]: 3070
% 1.84/0.64 % (16997)Time elapsed: 0.008 s
% 1.84/0.64 % (16997)Instructions burned: 7 (million)
% 1.84/0.64 % (16997)------------------------------
% 1.84/0.64 % (16997)------------------------------
% 1.84/0.65 % (16983)Instruction limit reached!
% 1.84/0.65 % (16983)------------------------------
% 1.84/0.65 % (16983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.65 % (16983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.65 % (16983)Termination reason: Unknown
% 1.84/0.65 % (16983)Termination phase: Saturation
% 1.84/0.65
% 1.84/0.65 % (16983)Memory used [KB]: 2558
% 1.84/0.65 % (16983)Time elapsed: 0.011 s
% 1.84/0.65 % (16983)Instructions burned: 13 (million)
% 1.84/0.65 % (16983)------------------------------
% 1.84/0.65 % (16983)------------------------------
% 1.84/0.65 % (17011)Instruction limit reached!
% 1.84/0.65 % (17011)------------------------------
% 1.84/0.65 % (17011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.65 % (17011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.65 % (17011)Termination reason: Unknown
% 1.84/0.65 % (17011)Termination phase: Equality resolution with deletion
% 1.84/0.65
% 1.84/0.65 % (17011)Memory used [KB]: 3454
% 1.84/0.65 % (17011)Time elapsed: 0.021 s
% 1.84/0.65 % (17011)Instructions burned: 25 (million)
% 1.84/0.65 % (17011)------------------------------
% 1.84/0.65 % (17011)------------------------------
% 1.84/0.65 % (16984)Instruction limit reached!
% 1.84/0.65 % (16984)------------------------------
% 1.84/0.65 % (16984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.65 % (16984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.65 % (16984)Termination reason: Unknown
% 1.84/0.65 % (16984)Termination phase: Preprocessing 1
% 1.84/0.65
% 1.84/0.65 % (16984)Memory used [KB]: 2046
% 1.84/0.65 % (16984)Time elapsed: 0.004 s
% 1.84/0.65 % (16984)Instructions burned: 3 (million)
% 1.84/0.65 % (16984)------------------------------
% 1.84/0.65 % (16984)------------------------------
% 1.84/0.65 % (16990)Refutation found. Thanks to Tanya!
% 1.84/0.65 % SZS status Theorem for theBenchmark
% 1.84/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.65 % (16990)------------------------------
% 1.84/0.65 % (16990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.65 % (16990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.65 % (16990)Termination reason: Refutation
% 1.84/0.65
% 1.84/0.65 % (16990)Memory used [KB]: 8059
% 1.84/0.65 % (16990)Time elapsed: 0.192 s
% 1.84/0.65 % (16990)Instructions burned: 37 (million)
% 1.84/0.65 % (16990)------------------------------
% 1.84/0.65 % (16990)------------------------------
% 1.84/0.65 % (16981)Success in time 0.287 s
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