TSTP Solution File: RNG125+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n002.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 18:15:10 EDT 2022
% Result : Theorem 1.41s 0.55s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 194 ( 7 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 222 ( 80 ~; 66 |; 56 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 67 ( 51 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f363,plain,
$false,
inference(avatar_sat_refutation,[],[f258,f359,f362]) ).
fof(f362,plain,
spl20_2,
inference(avatar_split_clause,[],[f361,f255]) ).
fof(f255,plain,
( spl20_2
<=> aDivisorOf0(xu,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f361,plain,
aDivisorOf0(xu,xa),
inference(subsumption_resolution,[],[f360,f298]) ).
fof(f298,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f291,f269]) ).
fof(f269,plain,
aSet0(xI),
inference(resolution,[],[f229,f209]) ).
fof(f209,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f229,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ( aElementOf0(sK17(X0),X0)
& ( ( ~ aElementOf0(sdtasdt0(sK18(X0),sK17(X0)),X0)
& aElement0(sK18(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK17(X0),sK19(X0)),X0)
& aElementOf0(sK19(X0),X0) ) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ~ aElementOf0(X4,X0)
| ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) ) ) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f149,f152,f151,f150]) ).
fof(f150,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) ) )
=> ( aElementOf0(sK17(X0),X0)
& ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK17(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK17(X0),X3),X0)
& aElementOf0(X3,X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK17(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK18(X0),sK17(X0)),X0)
& aElement0(sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK17(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK17(X0),sK19(X0)),X0)
& aElementOf0(sK19(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ~ aElementOf0(X4,X0)
| ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) ) ) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) ) ) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) )
& ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) ) ) ) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( aIdeal0(X0)
| ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),X0)
& aElement0(X3) )
| ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),X0)
& aElementOf0(X2,X0) ) ) ) )
& ( ( aSet0(X0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) )
& ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) ) ) ) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) )
& ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) )
& aSet0(X0) )
<=> aIdeal0(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f291,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[],[f236,f158]) ).
fof(f158,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( aElementOf0(xu,xI)
& sz00 != xu
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f236,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f360,plain,
( aDivisorOf0(xu,xa)
| ~ aElement0(xu) ),
inference(subsumption_resolution,[],[f355,f213]) ).
fof(f213,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f355,plain,
( aDivisorOf0(xu,xa)
| ~ aElement0(xa)
| ~ aElement0(xu) ),
inference(resolution,[],[f194,f174]) ).
fof(f174,plain,
doDivides0(xu,xa),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
doDivides0(xu,xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2479) ).
fof(f194,plain,
! [X0,X1] :
( ~ doDivides0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| aDivisorOf0(X1,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) )
& ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( doDivides0(X1,X0)
& aElement0(X1) )
<=> aDivisorOf0(X1,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( doDivides0(X1,X0)
& aElement0(X1) )
<=> aDivisorOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDvs) ).
fof(f359,plain,
spl20_1,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| spl20_1 ),
inference(subsumption_resolution,[],[f357,f253]) ).
fof(f253,plain,
( ~ aDivisorOf0(xu,xb)
| spl20_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl20_1
<=> aDivisorOf0(xu,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f357,plain,
aDivisorOf0(xu,xb),
inference(subsumption_resolution,[],[f356,f298]) ).
fof(f356,plain,
( ~ aElement0(xu)
| aDivisorOf0(xu,xb) ),
inference(subsumption_resolution,[],[f354,f214]) ).
fof(f214,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f354,plain,
( ~ aElement0(xb)
| ~ aElement0(xu)
| aDivisorOf0(xu,xb) ),
inference(resolution,[],[f194,f159]) ).
fof(f159,plain,
doDivides0(xu,xb),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
doDivides0(xu,xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).
fof(f258,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f162,f255,f251]) ).
fof(f162,plain,
( ~ aDivisorOf0(xu,xa)
| ~ aDivisorOf0(xu,xb) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ~ aDivisorOf0(xu,xa)
| ~ aDivisorOf0(xu,xb) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
~ ( aDivisorOf0(xu,xb)
& aDivisorOf0(xu,xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2383) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : n002.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 Aug 30 12:26:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (21481)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (21466)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)
% 0.21/0.52 % (21472)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)
% 1.25/0.52 % (21473)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)
% 1.25/0.52 % (21466)Instruction limit reached!
% 1.25/0.52 % (21466)------------------------------
% 1.25/0.52 % (21466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52 % (21466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52 % (21466)Termination reason: Unknown
% 1.25/0.52 % (21466)Termination phase: Property scanning
% 1.25/0.52
% 1.25/0.52 % (21466)Memory used [KB]: 1535
% 1.25/0.52 % (21466)Time elapsed: 0.005 s
% 1.25/0.52 % (21466)Instructions burned: 5 (million)
% 1.25/0.52 % (21466)------------------------------
% 1.25/0.52 % (21466)------------------------------
% 1.25/0.52 % (21481)Instruction limit reached!
% 1.25/0.52 % (21481)------------------------------
% 1.25/0.52 % (21481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52 % (21481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52 % (21481)Termination reason: Unknown
% 1.25/0.52 % (21481)Termination phase: Preprocessing 3
% 1.25/0.52
% 1.25/0.52 % (21481)Memory used [KB]: 1535
% 1.25/0.52 % (21481)Time elapsed: 0.004 s
% 1.25/0.52 % (21481)Instructions burned: 3 (million)
% 1.25/0.52 % (21481)------------------------------
% 1.25/0.52 % (21481)------------------------------
% 1.25/0.53 % (21479)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)
% 1.25/0.53 % (21470)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)
% 1.25/0.53 % (21475)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)
% 1.25/0.53 % (21486)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)
% 1.25/0.54 % (21491)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)
% 1.25/0.54 % (21490)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)
% 1.25/0.54 % (21492)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.25/0.54 % (21464)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.25/0.54 % (21469)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.25/0.54 % (21468)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)
% 1.25/0.54 % (21467)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)
% 1.41/0.54 % (21488)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)
% 1.41/0.54 % (21485)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)
% 1.41/0.54 % (21468)First to succeed.
% 1.41/0.54 % (21470)Also succeeded, but the first one will report.
% 1.41/0.55 % (21468)Refutation found. Thanks to Tanya!
% 1.41/0.55 % SZS status Theorem for theBenchmark
% 1.41/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.55 % (21468)------------------------------
% 1.41/0.55 % (21468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (21468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (21468)Termination reason: Refutation
% 1.41/0.55
% 1.41/0.55 % (21468)Memory used [KB]: 6140
% 1.41/0.55 % (21468)Time elapsed: 0.136 s
% 1.41/0.55 % (21468)Instructions burned: 9 (million)
% 1.41/0.55 % (21468)------------------------------
% 1.41/0.55 % (21468)------------------------------
% 1.41/0.55 % (21463)Success in time 0.189 s
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