TSTP Solution File: RNG105+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG105+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 : 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 18:15:01 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 59 ( 17 unt; 0 def)
% Number of atoms : 158 ( 41 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 163 ( 64 ~; 53 |; 38 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 41 ( 29 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f456,plain,
$false,
inference(avatar_sat_refutation,[],[f314,f429,f438,f449]) ).
fof(f449,plain,
( ~ spl28_1
| ~ spl28_7 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl28_1
| ~ spl28_7 ),
inference(subsumption_resolution,[],[f447,f419]) ).
fof(f419,plain,
( aElement0(sdtpldt0(xu,xv))
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl28_7
<=> aElement0(sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).
fof(f447,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ spl28_1 ),
inference(trivial_inequality_removal,[],[f441]) ).
fof(f441,plain,
( sF25 != sF25
| ~ aElement0(sdtpldt0(xu,xv))
| ~ spl28_1 ),
inference(superposition,[],[f310,f414]) ).
fof(f414,plain,
sF24(sdtpldt0(xu,xv)) = sF25,
inference(forward_demodulation,[],[f413,f301]) ).
fof(f301,plain,
sdtpldt0(xx,xy) = sF25,
introduced(function_definition,[]) ).
fof(f413,plain,
sdtpldt0(xx,xy) = sF24(sdtpldt0(xu,xv)),
inference(forward_demodulation,[],[f216,f300]) ).
fof(f300,plain,
! [X0] : sdtasdt0(xc,X0) = sF24(X0),
introduced(function_definition,[]) ).
fof(f216,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/sandbox/benchmark/theBenchmark.p',m__2010) ).
fof(f310,plain,
( ! [X0] :
( sF24(X0) != sF25
| ~ aElement0(X0) )
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl28_1
<=> ! [X0] :
( sF24(X0) != sF25
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
fof(f438,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| ~ spl28_2 ),
inference(subsumption_resolution,[],[f436,f277]) ).
fof(f277,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1956) ).
fof(f436,plain,
( ~ aElement0(xu)
| ~ spl28_2 ),
inference(subsumption_resolution,[],[f435,f203]) ).
fof(f203,plain,
aElement0(xz),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( aElementOf0(xx,slsdtgt0(xc))
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz)
& aElement0(sK3)
& xx = sdtasdt0(xc,sK3)
& xy = sdtasdt0(xc,sK4)
& aElement0(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f49,f128,f127]) ).
fof(f127,plain,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xx )
=> ( aElement0(sK3)
& xx = sdtasdt0(xc,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X1] :
( xy = sdtasdt0(xc,X1)
& aElement0(X1) )
=> ( xy = sdtasdt0(xc,sK4)
& aElement0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( aElementOf0(xx,slsdtgt0(xc))
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz)
& ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xx )
& ? [X1] :
( xy = sdtasdt0(xc,X1)
& aElement0(X1) ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
( aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = xx )
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xy,slsdtgt0(xc))
& aElement0(xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).
fof(f435,plain,
( ~ aElement0(xz)
| ~ aElement0(xu)
| ~ spl28_2 ),
inference(resolution,[],[f434,f250]) ).
fof(f250,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f434,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| ~ spl28_2 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f433,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| sF26 != sF26
| ~ spl28_2 ),
inference(superposition,[],[f313,f431]) ).
fof(f431,plain,
sF24(sdtasdt0(xu,xz)) = sF26,
inference(forward_demodulation,[],[f430,f302]) ).
fof(f302,plain,
sdtasdt0(xz,xx) = sF26,
introduced(function_definition,[]) ).
fof(f430,plain,
sdtasdt0(xz,xx) = sF24(sdtasdt0(xu,xz)),
inference(forward_demodulation,[],[f251,f300]) ).
fof(f251,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/sandbox/benchmark/theBenchmark.p',m__2043) ).
fof(f313,plain,
( ! [X1] :
( sF24(X1) != sF26
| ~ aElement0(X1) )
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl28_2
<=> ! [X1] :
( sF24(X1) != sF26
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).
fof(f429,plain,
spl28_7,
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f428,plain,
( $false
| spl28_7 ),
inference(subsumption_resolution,[],[f427,f275]) ).
fof(f275,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( aElement0(xv)
& xy = sdtasdt0(xc,xv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1979) ).
fof(f427,plain,
( ~ aElement0(xv)
| spl28_7 ),
inference(subsumption_resolution,[],[f426,f277]) ).
fof(f426,plain,
( ~ aElement0(xu)
| ~ aElement0(xv)
| spl28_7 ),
inference(resolution,[],[f420,f228]) ).
fof(f228,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f420,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| spl28_7 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f314,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f305,f312,f309]) ).
fof(f305,plain,
! [X0,X1] :
( sF24(X1) != sF26
| sF24(X0) != sF25
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f226,f300,f302,f301,f300]) ).
fof(f226,plain,
! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtpldt0(xx,xy)
| sdtasdt0(xz,xx) != sdtasdt0(xc,X1)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xc,X0) != sdtpldt0(xx,xy) )
& ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
| ( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& ! [X1] :
( sdtasdt0(xz,xx) != sdtasdt0(xc,X1)
| ~ aElement0(X1) ) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ( ( ? [X0] :
( sdtasdt0(xc,X0) = sdtpldt0(xx,xy)
& aElement0(X0) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
& ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xz,xx) = sdtasdt0(xc,X1) )
| aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ( ( ? [X0] :
( sdtasdt0(xc,X0) = sdtpldt0(xx,xy)
& aElement0(X0) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
( ( ? [X0] :
( sdtasdt0(xc,X0) = sdtpldt0(xx,xy)
& aElement0(X0) )
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xc,X0) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG105+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:21:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (13884)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)
% 0.19/0.49 % (13877)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (13903)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)
% 0.19/0.50 % (13900)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)
% 0.19/0.50 % (13887)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)
% 0.19/0.51 % (13881)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)
% 0.19/0.51 % (13882)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)
% 0.19/0.51 % (13886)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)
% 0.19/0.51 % (13885)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)
% 0.19/0.51 % (13887)Instruction limit reached!
% 0.19/0.51 % (13887)------------------------------
% 0.19/0.51 % (13887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (13895)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)
% 0.19/0.52 % (13893)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)
% 0.19/0.52 % (13877)First to succeed.
% 0.19/0.52 % (13877)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (13877)------------------------------
% 0.19/0.52 % (13877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (13877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (13877)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (13877)Memory used [KB]: 6268
% 0.19/0.52 % (13877)Time elapsed: 0.125 s
% 0.19/0.52 % (13877)Instructions burned: 10 (million)
% 0.19/0.52 % (13877)------------------------------
% 0.19/0.52 % (13877)------------------------------
% 0.19/0.52 % (13876)Success in time 0.175 s
%------------------------------------------------------------------------------