TSTP Solution File: NUM609+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM609+3 : 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 18:01:12 EDT 2022
% Result : Theorem 1.76s 0.59s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 70 ( 12 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 78 ( 23 ~; 14 |; 33 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f981,plain,
$false,
inference(subsumption_resolution,[],[f980,f773]) ).
fof(f773,plain,
~ aElementOf0(sK55,xQ),
inference(cnf_transformation,[],[f425]) ).
fof(f425,plain,
( ~ aSubsetOf0(xP,xQ)
& ~ aElementOf0(sK55,xQ)
& aElementOf0(sK55,xP) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f256,f424]) ).
fof(f424,plain,
( ? [X0] :
( ~ aElementOf0(X0,xQ)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK55,xQ)
& aElementOf0(sK55,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ~ aSubsetOf0(xP,xQ)
& ? [X0] :
( ~ aElementOf0(X0,xQ)
& aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,negated_conjecture,
~ ( aSubsetOf0(xP,xQ)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
inference(negated_conjecture,[],[f107]) ).
fof(f107,conjecture,
( aSubsetOf0(xP,xQ)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f980,plain,
aElementOf0(sK55,xQ),
inference(resolution,[],[f674,f772]) ).
fof(f772,plain,
aElementOf0(sK55,xP),
inference(cnf_transformation,[],[f425]) ).
fof(f674,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
( ! [X0] :
( ( aElementOf0(X0,xP)
| ~ aElement0(X0)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ) )
& ( ( aElement0(X0)
& szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) ) ),
inference(flattening,[],[f373]) ).
fof(f373,plain,
( ! [X0] :
( ( aElementOf0(X0,xP)
| ~ aElement0(X0)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ) )
& ( ( aElement0(X0)
& szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) ) ),
inference(nnf_transformation,[],[f216]) ).
fof(f216,plain,
( ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ) ) )
& aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) ) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
( ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ) ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ) ) )
& aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM609+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : n027.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 07:36:46 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.54 % (8126)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.55 % (8112)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)
% 0.20/0.55 % (8120)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)
% 0.20/0.55 % (8129)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)
% 0.20/0.55 % (8134)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)
% 0.20/0.55 % (8113)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)
% 0.20/0.55 % (8121)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)
% 0.20/0.55 % (8118)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.55 % (8128)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)
% 0.20/0.56 % (8120)Instruction limit reached!
% 0.20/0.56 % (8120)------------------------------
% 0.20/0.56 % (8120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (8120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (8120)Termination reason: Unknown
% 0.20/0.56 % (8120)Termination phase: Preprocessing 2
% 0.20/0.56
% 0.20/0.56 % (8120)Memory used [KB]: 1663
% 0.20/0.56 % (8120)Time elapsed: 0.005 s
% 0.20/0.56 % (8120)Instructions burned: 3 (million)
% 0.20/0.56 % (8120)------------------------------
% 0.20/0.56 % (8120)------------------------------
% 0.20/0.56 % (8121)Instruction limit reached!
% 0.20/0.56 % (8121)------------------------------
% 0.20/0.56 % (8121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (8121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (8121)Termination reason: Unknown
% 0.20/0.56 % (8121)Termination phase: Preprocessing 3
% 0.20/0.56
% 0.20/0.56 % (8121)Memory used [KB]: 1918
% 0.20/0.56 % (8121)Time elapsed: 0.007 s
% 0.20/0.56 % (8121)Instructions burned: 7 (million)
% 0.20/0.56 % (8121)------------------------------
% 0.20/0.56 % (8121)------------------------------
% 1.42/0.57 % (8134)Instruction limit reached!
% 1.42/0.57 % (8134)------------------------------
% 1.42/0.57 % (8134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57 % (8134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57 % (8134)Termination reason: Unknown
% 1.42/0.57 % (8134)Termination phase: Preprocessing 3
% 1.42/0.57
% 1.42/0.57 % (8134)Memory used [KB]: 1918
% 1.42/0.57 % (8134)Time elapsed: 0.008 s
% 1.42/0.57 % (8134)Instructions burned: 8 (million)
% 1.42/0.57 % (8134)------------------------------
% 1.42/0.57 % (8134)------------------------------
% 1.42/0.58 % (8118)Instruction limit reached!
% 1.42/0.58 % (8118)------------------------------
% 1.42/0.58 % (8118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58 % (8118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58 % (8118)Termination reason: Unknown
% 1.42/0.58 % (8118)Termination phase: Property scanning
% 1.42/0.58
% 1.42/0.58 % (8118)Memory used [KB]: 2046
% 1.42/0.58 % (8118)Time elapsed: 0.013 s
% 1.42/0.58 % (8118)Instructions burned: 16 (million)
% 1.42/0.58 % (8118)------------------------------
% 1.42/0.58 % (8118)------------------------------
% 1.42/0.58 % (8126)Instruction limit reached!
% 1.42/0.58 % (8126)------------------------------
% 1.42/0.58 % (8126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59 % (8112)First to succeed.
% 1.76/0.59 % (8112)Refutation found. Thanks to Tanya!
% 1.76/0.59 % SZS status Theorem for theBenchmark
% 1.76/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.59 % (8112)------------------------------
% 1.76/0.59 % (8112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59 % (8112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59 % (8112)Termination reason: Refutation
% 1.76/0.59
% 1.76/0.59 % (8112)Memory used [KB]: 6652
% 1.76/0.59 % (8112)Time elapsed: 0.147 s
% 1.76/0.59 % (8112)Instructions burned: 25 (million)
% 1.76/0.59 % (8112)------------------------------
% 1.76/0.59 % (8112)------------------------------
% 1.76/0.59 % (8105)Success in time 0.233 s
%------------------------------------------------------------------------------