TSTP Solution File: NUM568+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM568+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 : n015.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 18:00:38 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 51 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 22 ~; 20 |; 5 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 12 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f509,plain,
$false,
inference(subsumption_resolution,[],[f508,f207]) ).
fof(f207,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f508,plain,
~ aElementOf0(xK,szNzAzT0),
inference(subsumption_resolution,[],[f507,f362]) ).
fof(f362,plain,
~ sQ21_eqProxy(sz00,xK),
inference(equality_proxy_replacement,[],[f212,f357]) ).
fof(f357,plain,
! [X0,X1] :
( sQ21_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ21_eqProxy])]) ).
fof(f212,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f507,plain,
( sQ21_eqProxy(sz00,xK)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[],[f506,f437]) ).
fof(f437,plain,
! [X0] :
( aElementOf0(sK19(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sQ21_eqProxy(sz00,X0) ),
inference(equality_proxy_replacement,[],[f332,f357]) ).
fof(f332,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK19(X0),szNzAzT0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( sz00 = X0
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( sz00 = X0
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 = X0
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f506,plain,
~ aElementOf0(sK19(xK),szNzAzT0),
inference(subsumption_resolution,[],[f505,f362]) ).
fof(f505,plain,
( sQ21_eqProxy(sz00,xK)
| ~ aElementOf0(sK19(xK),szNzAzT0) ),
inference(subsumption_resolution,[],[f504,f207]) ).
fof(f504,plain,
( ~ aElementOf0(xK,szNzAzT0)
| sQ21_eqProxy(sz00,xK)
| ~ aElementOf0(sK19(xK),szNzAzT0) ),
inference(resolution,[],[f438,f409]) ).
fof(f409,plain,
! [X0] :
( ~ sQ21_eqProxy(szszuzczcdt0(X0),xK)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f278,f357]) ).
fof(f278,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xK ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,negated_conjecture,
~ ? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f438,plain,
! [X0] :
( sQ21_eqProxy(szszuzczcdt0(sK19(X0)),X0)
| sQ21_eqProxy(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f331,f357,f357]) ).
fof(f331,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK19(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM568+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
% 0.12/0.34 % Computer : n015.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 07:48:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (9083)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)
% 0.20/0.49 % (9075)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)
% 0.20/0.51 % (9067)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)
% 0.20/0.51 % (9075)Instruction limit reached!
% 0.20/0.51 % (9075)------------------------------
% 0.20/0.51 % (9075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (9075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (9075)Termination reason: Unknown
% 0.20/0.51 % (9075)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (9075)Memory used [KB]: 6140
% 0.20/0.51 % (9075)Time elapsed: 0.009 s
% 0.20/0.51 % (9075)Instructions burned: 8 (million)
% 0.20/0.51 % (9075)------------------------------
% 0.20/0.51 % (9075)------------------------------
% 0.20/0.51 % (9085)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)
% 0.20/0.52 % (9073)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (9060)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (9086)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)
% 0.20/0.52 % (9088)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)
% 0.20/0.52 % (9076)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)
% 0.20/0.52 % (9080)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)
% 0.20/0.52 % (9077)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (9071)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)
% 0.20/0.53 % (9080)First to succeed.
% 0.20/0.53 % (9068)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)
% 0.20/0.53 % (9070)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 % (9087)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 % (9062)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)
% 0.20/0.53 % (9064)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)
% 0.20/0.53 % (9066)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)
% 0.20/0.53 % (9062)Instruction limit reached!
% 0.20/0.53 % (9062)------------------------------
% 0.20/0.53 % (9062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9062)Termination reason: Unknown
% 0.20/0.53 % (9062)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (9062)Memory used [KB]: 1535
% 0.20/0.53 % (9062)Time elapsed: 0.003 s
% 0.20/0.53 % (9062)Instructions burned: 3 (million)
% 0.20/0.53 % (9062)------------------------------
% 0.20/0.53 % (9062)------------------------------
% 0.20/0.53 % (9084)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)
% 0.20/0.53 % (9063)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 % (9077)Instruction limit reached!
% 0.20/0.53 % (9077)------------------------------
% 0.20/0.53 % (9077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9077)Termination reason: Unknown
% 0.20/0.53 % (9077)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (9077)Memory used [KB]: 1535
% 0.20/0.53 % (9077)Time elapsed: 0.005 s
% 0.20/0.53 % (9077)Instructions burned: 3 (million)
% 0.20/0.53 % (9077)------------------------------
% 0.20/0.53 % (9077)------------------------------
% 0.20/0.54 % (9081)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)
% 0.20/0.54 % (9088)Instruction limit reached!
% 0.20/0.54 % (9088)------------------------------
% 0.20/0.54 % (9088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (9088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (9088)Termination reason: Unknown
% 0.20/0.54 % (9088)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (9088)Memory used [KB]: 1663
% 0.20/0.54 % (9088)Time elapsed: 0.005 s
% 0.20/0.54 % (9088)Instructions burned: 8 (million)
% 0.20/0.54 % (9088)------------------------------
% 0.20/0.54 % (9088)------------------------------
% 0.20/0.54 % (9061)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (9080)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 % (9080)------------------------------
% 0.20/0.54 % (9080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (9080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (9080)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (9080)Memory used [KB]: 6268
% 0.20/0.54 % (9080)Time elapsed: 0.126 s
% 0.20/0.54 % (9080)Instructions burned: 10 (million)
% 0.20/0.54 % (9080)------------------------------
% 0.20/0.54 % (9080)------------------------------
% 0.20/0.54 % (9057)Success in time 0.188 s
%------------------------------------------------------------------------------