TSTP Solution File: RNG105+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG105+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 : n003.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 18:15:01 EDT 2022
% Result : Theorem 1.19s 0.52s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 67 ( 17 unt; 0 def)
% Number of atoms : 220 ( 50 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 246 ( 93 ~; 94 |; 45 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 79 ( 63 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f493,plain,
$false,
inference(avatar_sat_refutation,[],[f299,f427,f479,f492]) ).
fof(f492,plain,
spl25_9,
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| spl25_9 ),
inference(subsumption_resolution,[],[f490,f184]) ).
fof(f184,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
fof(f490,plain,
( ~ aElement0(xu)
| spl25_9 ),
inference(subsumption_resolution,[],[f489,f203]) ).
fof(f203,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( xy = sdtasdt0(xc,xv)
& aElement0(xv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1979) ).
fof(f489,plain,
( ~ aElement0(xv)
| ~ aElement0(xu)
| spl25_9 ),
inference(resolution,[],[f426,f267]) ).
fof(f267,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aElement0(X1)
| aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X1,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f426,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| spl25_9 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl25_9
<=> aElement0(sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
fof(f479,plain,
spl25_1,
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| spl25_1 ),
inference(subsumption_resolution,[],[f477,f209]) ).
fof(f209,plain,
aElement0(xz),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz)
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f477,plain,
( ~ aElement0(xz)
| spl25_1 ),
inference(subsumption_resolution,[],[f476,f184]) ).
fof(f476,plain,
( ~ aElement0(xu)
| ~ aElement0(xz)
| spl25_1 ),
inference(resolution,[],[f436,f194]) ).
fof(f194,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aElement0(X1)
| aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X0) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f436,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| spl25_1 ),
inference(subsumption_resolution,[],[f435,f294]) ).
fof(f294,plain,
( ~ aElementOf0(sF22,sF23)
| spl25_1 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl25_1
<=> aElementOf0(sF22,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f435,plain,
( aElementOf0(sF22,sF23)
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(forward_demodulation,[],[f434,f288]) ).
fof(f288,plain,
slsdtgt0(xc) = sF23,
introduced(function_definition,[]) ).
fof(f434,plain,
( aElementOf0(sF22,slsdtgt0(xc))
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(subsumption_resolution,[],[f389,f207]) ).
fof(f207,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(f389,plain,
( ~ aElement0(xc)
| ~ aElement0(sdtasdt0(xu,xz))
| aElementOf0(sF22,slsdtgt0(xc)) ),
inference(superposition,[],[f279,f361]) ).
fof(f361,plain,
sdtasdt0(xc,sdtasdt0(xu,xz)) = sF22,
inference(forward_demodulation,[],[f213,f287]) ).
fof(f287,plain,
sdtasdt0(xz,xx) = sF22,
introduced(function_definition,[]) ).
fof(f213,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2043) ).
fof(f279,plain,
! [X0,X7] :
( aElementOf0(sdtasdt0(X0,X7),slsdtgt0(X0))
| ~ aElement0(X0)
| ~ aElement0(X7) ),
inference(equality_resolution,[],[f278]) ).
fof(f278,plain,
! [X0,X1,X7] :
( aElementOf0(sdtasdt0(X0,X7),X1)
| ~ aElement0(X7)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X7,X5] :
( aElementOf0(X5,X1)
| ~ aElement0(X7)
| sdtasdt0(X0,X7) != X5
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ( ( ~ aElementOf0(sK7(X0,X1),X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != sK7(X0,X1) ) )
& ( aElementOf0(sK7(X0,X1),X1)
| ( aElement0(sK8(X0,X1))
& sdtasdt0(X0,sK8(X0,X1)) = sK7(X0,X1) ) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( ( aElement0(sK9(X0,X5))
& sdtasdt0(X0,sK9(X0,X5)) = X5 )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(X0,X7) != X5 ) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f132,f135,f134,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = X2 ) ) )
=> ( ( ~ aElementOf0(sK7(X0,X1),X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != sK7(X0,X1) ) )
& ( aElementOf0(sK7(X0,X1),X1)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = sK7(X0,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = sK7(X0,X1) )
=> ( aElement0(sK8(X0,X1))
& sdtasdt0(X0,sK8(X0,X1)) = sK7(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0,X5] :
( ? [X6] :
( aElement0(X6)
& sdtasdt0(X0,X6) = X5 )
=> ( aElement0(sK9(X0,X5))
& sdtasdt0(X0,sK9(X0,X5)) = X5 ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = X2 ) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( ? [X6] :
( aElement0(X6)
& sdtasdt0(X0,X6) = X5 )
| ~ aElementOf0(X5,X1) )
& ( aElementOf0(X5,X1)
| ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(X0,X7) != X5 ) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( aElementOf0(X2,X1)
| ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) )
& ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( aSet0(X1)
& ! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
<=> aElementOf0(X2,X1) ) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( aSet0(X1)
& ! [X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
<=> aElementOf0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f427,plain,
( spl25_2
| ~ spl25_9 ),
inference(avatar_split_clause,[],[f422,f424,f296]) ).
fof(f296,plain,
( spl25_2
<=> aElementOf0(sF24,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f422,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| aElementOf0(sF24,sF23) ),
inference(forward_demodulation,[],[f421,f288]) ).
fof(f421,plain,
( aElementOf0(sF24,slsdtgt0(xc))
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(subsumption_resolution,[],[f388,f207]) ).
fof(f388,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ aElement0(xc)
| aElementOf0(sF24,slsdtgt0(xc)) ),
inference(superposition,[],[f279,f359]) ).
fof(f359,plain,
sdtasdt0(xc,sdtpldt0(xu,xv)) = sF24,
inference(forward_demodulation,[],[f183,f289]) ).
fof(f289,plain,
sdtpldt0(xx,xy) = sF24,
introduced(function_definition,[]) ).
fof(f183,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2010) ).
fof(f299,plain,
( ~ spl25_1
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f290,f296,f292]) ).
fof(f290,plain,
( ~ aElementOf0(sF24,sF23)
| ~ aElementOf0(sF22,sF23) ),
inference(definition_folding,[],[f258,f288,f289,f288,f287]) ).
fof(f258,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : RNG105+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 12:08:52 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.47 % (24343)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.22/0.49 % (24370)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)
% 0.22/0.50 % (24355)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)
% 0.22/0.50 % (24343)First to succeed.
% 0.22/0.50 % (24371)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)
% 0.22/0.50 % (24361)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)
% 0.22/0.51 % (24346)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)
% 0.22/0.51 % (24355)Instruction limit reached!
% 0.22/0.51 % (24355)------------------------------
% 0.22/0.51 % (24355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (24355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (24355)Termination reason: Unknown
% 0.22/0.51 % (24355)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (24355)Memory used [KB]: 6140
% 0.22/0.51 % (24355)Time elapsed: 0.006 s
% 0.22/0.51 % (24355)Instructions burned: 7 (million)
% 0.22/0.51 % (24355)------------------------------
% 0.22/0.51 % (24355)------------------------------
% 0.22/0.51 % (24351)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)
% 1.19/0.52 % (24368)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)
% 1.19/0.52 % (24343)Refutation found. Thanks to Tanya!
% 1.19/0.52 % SZS status Theorem for theBenchmark
% 1.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.52 % (24343)------------------------------
% 1.19/0.52 % (24343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.52 % (24343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.52 % (24343)Termination reason: Refutation
% 1.19/0.52
% 1.19/0.52 % (24343)Memory used [KB]: 6268
% 1.19/0.52 % (24343)Time elapsed: 0.096 s
% 1.19/0.52 % (24343)Instructions burned: 11 (million)
% 1.19/0.52 % (24343)------------------------------
% 1.19/0.52 % (24343)------------------------------
% 1.19/0.52 % (24336)Success in time 0.152 s
%------------------------------------------------------------------------------