TSTP Solution File: RNG089+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG089+2 : 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 : n027.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 18:14:54 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 8 unt; 0 def)
% Number of atoms : 166 ( 13 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 157 ( 28 ~; 26 |; 75 &)
% ( 4 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 57 ( 41 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f234,plain,
$false,
inference(avatar_sat_refutation,[],[f175,f219,f233]) ).
fof(f233,plain,
spl14_2,
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f232,plain,
( $false
| spl14_2 ),
inference(subsumption_resolution,[],[f230,f127]) ).
fof(f127,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
( aElementOf0(xl,xJ)
& aElementOf0(xk,xI)
& xx = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
fof(f230,plain,
( ~ aElementOf0(xk,xI)
| spl14_2 ),
inference(unit_resulting_resolution,[],[f120,f174,f151,f144]) ).
fof(f144,plain,
! [X2,X0,X1] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(X1,X0)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) )
& ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) ) ) )
& aSet0(X0) )
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( aIdeal0(X0)
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) )
<=> aIdeal0(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f151,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| ( ! [X1] :
( ~ aElementOf0(X1,xI)
| aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),xI) ) ) )
& aIdeal0(xI)
& aIdeal0(xJ)
& aSet0(xJ)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ) )
& ! [X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5) ) )
| ~ aElementOf0(X3,xJ) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
( aSet0(xI)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xJ) )
& ! [X4] :
( aElementOf0(X4,xJ)
=> aElementOf0(sdtpldt0(X3,X4),xJ) ) ) )
& aIdeal0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xJ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) ) ) )
& aIdeal0(xJ)
& aSet0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
fof(f174,plain,
( ~ aElementOf0(sdtasdt0(xz,xk),xI)
| spl14_2 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl14_2
<=> aElementOf0(sdtasdt0(xz,xk),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f120,plain,
aElement0(xz),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( aElementOf0(xy,sdtpldt1(xI,xJ))
& aElementOf0(sK8,xJ)
& xx = sdtpldt0(sK7,sK8)
& aElementOf0(sK7,xI)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElement0(xz)
& xy = sdtpldt0(sK10,sK9)
& aElementOf0(sK9,xJ)
& aElementOf0(sK10,xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f83,f85,f84]) ).
fof(f84,plain,
( ? [X0,X1] :
( aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx
& aElementOf0(X0,xI) )
=> ( aElementOf0(sK8,xJ)
& xx = sdtpldt0(sK7,sK8)
& aElementOf0(sK7,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X2,X3] :
( xy = sdtpldt0(X3,X2)
& aElementOf0(X2,xJ)
& aElementOf0(X3,xI) )
=> ( xy = sdtpldt0(sK10,sK9)
& aElementOf0(sK9,xJ)
& aElementOf0(sK10,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElement0(xz)
& ? [X2,X3] :
( xy = sdtpldt0(X3,X2)
& aElementOf0(X2,xJ)
& aElementOf0(X3,xI) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
( aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X3,X2] :
( aElementOf0(X2,xJ)
& xx = sdtpldt0(X3,X2)
& aElementOf0(X3,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElement0(xz)
& ? [X0,X1] :
( sdtpldt0(X1,X0) = xy
& aElementOf0(X0,xJ)
& aElementOf0(X1,xI) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( ? [X1,X0] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X0,xI)
& aElementOf0(X1,xJ) )
& ? [X1,X0] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx )
& aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElementOf0(xx,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).
fof(f219,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f216,f128]) ).
fof(f128,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f216,plain,
( ~ aElementOf0(xl,xJ)
| spl14_1 ),
inference(unit_resulting_resolution,[],[f120,f170,f150,f144]) ).
fof(f150,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f46]) ).
fof(f170,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| spl14_1 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl14_1
<=> aElementOf0(sdtasdt0(xz,xl),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f175,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f141,f172,f168]) ).
fof(f141,plain,
( ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xJ) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xJ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ( aElementOf0(sdtasdt0(xz,xl),xJ)
& aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
( aElementOf0(sdtasdt0(xz,xl),xJ)
& aElementOf0(sdtasdt0(xz,xk),xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG089+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 12:20:31 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % (31366)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)
% 0.20/0.53 % (31366)First to succeed.
% 0.20/0.53 % (31373)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)
% 0.20/0.53 % (31391)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)
% 0.20/0.53 % (31385)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)
% 0.20/0.53 % (31377)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)
% 0.20/0.53 % (31371)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)
% 0.20/0.54 % (31366)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (31366)------------------------------
% 0.20/0.54 % (31366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (31366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (31366)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (31366)Memory used [KB]: 6140
% 0.20/0.54 % (31366)Time elapsed: 0.129 s
% 0.20/0.54 % (31366)Instructions burned: 7 (million)
% 0.20/0.54 % (31366)------------------------------
% 0.20/0.54 % (31366)------------------------------
% 0.20/0.54 % (31358)Success in time 0.193 s
%------------------------------------------------------------------------------