TSTP Solution File: NUM576+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM576+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 : n025.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 18:00:44 EDT 2022
% Result : Theorem 1.80s 0.63s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 91 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 113 ( 55 ~; 44 |; 8 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1031,plain,
$false,
inference(subsumption_resolution,[],[f1030,f518]) ).
fof(f518,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).
fof(f1030,plain,
~ aElementOf0(xj,szNzAzT0),
inference(subsumption_resolution,[],[f1029,f517]) ).
fof(f517,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f1029,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(subsumption_resolution,[],[f1028,f897]) ).
fof(f897,plain,
sdtlseqdt0(xi,xj),
inference(subsumption_resolution,[],[f896,f518]) ).
fof(f896,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(subsumption_resolution,[],[f892,f517]) ).
fof(f892,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f463,f416]) ).
fof(f416,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( xi != xj
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& xi != xj ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
inference(negated_conjecture,[],[f85]) ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f463,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f1028,plain,
( ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(subsumption_resolution,[],[f1024,f899]) ).
fof(f899,plain,
sdtlseqdt0(xj,xi),
inference(subsumption_resolution,[],[f898,f518]) ).
fof(f898,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(subsumption_resolution,[],[f893,f517]) ).
fof(f893,plain,
( ~ aElementOf0(xi,szNzAzT0)
| sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f463,f417]) ).
fof(f417,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f140]) ).
fof(f1024,plain,
( ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(xi,xj) ),
inference(resolution,[],[f641,f647]) ).
fof(f647,plain,
~ sQ40_eqProxy(xi,xj),
inference(equality_proxy_replacement,[],[f418,f620]) ).
fof(f620,plain,
! [X0,X1] :
( sQ40_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ40_eqProxy])]) ).
fof(f418,plain,
xi != xj,
inference(cnf_transformation,[],[f140]) ).
fof(f641,plain,
! [X0,X1] :
( sQ40_eqProxy(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(equality_proxy_replacement,[],[f409,f620]) ).
fof(f409,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X1,X0] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM576+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 07:15:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (8183)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)
% 0.20/0.56 % (8184)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)
% 0.20/0.56 % (8200)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)
% 0.20/0.57 % (8199)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)
% 0.20/0.57 % (8192)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)
% 0.20/0.57 % (8191)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)
% 1.44/0.58 % (8191)Instruction limit reached!
% 1.44/0.58 % (8191)------------------------------
% 1.44/0.58 % (8191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.59 % (8191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.59 % (8191)Termination reason: Unknown
% 1.44/0.59 % (8191)Termination phase: Equality resolution with deletion
% 1.44/0.59
% 1.44/0.59 % (8191)Memory used [KB]: 1791
% 1.44/0.59 % (8191)Time elapsed: 0.007 s
% 1.44/0.59 % (8191)Instructions burned: 8 (million)
% 1.44/0.59 % (8191)------------------------------
% 1.44/0.59 % (8191)------------------------------
% 1.80/0.60 % (8179)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)
% 1.80/0.60 % (8180)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)
% 1.80/0.60 % (8182)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)
% 1.80/0.62 % (8177)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)
% 1.80/0.62 % (8183)Instruction limit reached!
% 1.80/0.62 % (8183)------------------------------
% 1.80/0.62 % (8183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (8183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (8183)Termination reason: Unknown
% 1.80/0.62 % (8183)Termination phase: Saturation
% 1.80/0.62
% 1.80/0.62 % (8183)Memory used [KB]: 6908
% 1.80/0.62 % (8183)Time elapsed: 0.184 s
% 1.80/0.62 % (8183)Instructions burned: 39 (million)
% 1.80/0.62 % (8183)------------------------------
% 1.80/0.62 % (8183)------------------------------
% 1.80/0.62 % (8194)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)
% 1.80/0.62 % (8176)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.80/0.62 % (8194)Instruction limit reached!
% 1.80/0.62 % (8194)------------------------------
% 1.80/0.62 % (8194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (8194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (8194)Termination reason: Unknown
% 1.80/0.62 % (8194)Termination phase: Preprocessing 1
% 1.80/0.62
% 1.80/0.62 % (8194)Memory used [KB]: 1407
% 1.80/0.62 % (8194)Time elapsed: 0.003 s
% 1.80/0.62 % (8194)Instructions burned: 2 (million)
% 1.80/0.62 % (8194)------------------------------
% 1.80/0.62 % (8194)------------------------------
% 1.80/0.62 % (8201)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)
% 1.80/0.62 % (8196)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)
% 1.80/0.62 % (8178)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)
% 1.80/0.62 % (8178)Instruction limit reached!
% 1.80/0.62 % (8178)------------------------------
% 1.80/0.62 % (8178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (8178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (8178)Termination reason: Unknown
% 1.80/0.62 % (8178)Termination phase: Preprocessing 2
% 1.80/0.62
% 1.80/0.62 % (8178)Memory used [KB]: 1535
% 1.80/0.62 % (8178)Time elapsed: 0.004 s
% 1.80/0.62 % (8178)Instructions burned: 3 (million)
% 1.80/0.62 % (8178)------------------------------
% 1.80/0.62 % (8178)------------------------------
% 1.80/0.63 % (8200)First to succeed.
% 1.80/0.63 % (8195)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.80/0.63 % (8193)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.80/0.63 % (8200)Refutation found. Thanks to Tanya!
% 1.80/0.63 % SZS status Theorem for theBenchmark
% 1.80/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.63 % (8200)------------------------------
% 1.80/0.63 % (8200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (8200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (8200)Termination reason: Refutation
% 1.80/0.63
% 1.80/0.63 % (8200)Memory used [KB]: 6524
% 1.80/0.63 % (8200)Time elapsed: 0.191 s
% 1.80/0.63 % (8200)Instructions burned: 25 (million)
% 1.80/0.63 % (8200)------------------------------
% 1.80/0.63 % (8200)------------------------------
% 1.80/0.63 % (8175)Success in time 0.273 s
%------------------------------------------------------------------------------