TSTP Solution File: NUM557+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM557+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 : n016.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 18:00:34 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 42 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 16 ~; 8 |; 14 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f407,plain,
$false,
inference(avatar_sat_refutation,[],[f391,f392]) ).
fof(f392,plain,
spl18_1,
inference(avatar_split_clause,[],[f274,f382]) ).
fof(f382,plain,
( spl18_1
<=> xk = sbrdtbr0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f274,plain,
xk = sbrdtbr0(xP),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xP) )
& xk = sbrdtbr0(xP)
& aSubsetOf0(xP,xS) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
( aSubsetOf0(xP,xS)
& ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) )
& xk = sbrdtbr0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2431) ).
fof(f391,plain,
~ spl18_1,
inference(avatar_split_clause,[],[f390,f382]) ).
fof(f390,plain,
xk != sbrdtbr0(xP),
inference(subsumption_resolution,[],[f357,f273]) ).
fof(f273,plain,
aSubsetOf0(xP,xS),
inference(cnf_transformation,[],[f143]) ).
fof(f357,plain,
( xk != sbrdtbr0(xP)
| ~ aSubsetOf0(xP,xS) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
& ( xk != sbrdtbr0(xP)
| ( ~ aElementOf0(sK17,xS)
& aElementOf0(sK17,xP)
& ~ aSubsetOf0(xP,xS) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f141,f210]) ).
fof(f210,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK17,xS)
& aElementOf0(sK17,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
& ( xk != sbrdtbr0(xP)
| ( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
& ~ aSubsetOf0(xP,xS) ) ) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,negated_conjecture,
~ ( ( ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xP,xS) )
& xk = sbrdtbr0(xP) )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(negated_conjecture,[],[f73]) ).
fof(f73,conjecture,
( ( ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xP,xS) )
& xk = sbrdtbr0(xP) )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM557+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 07:25:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (22261)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)
% 0.18/0.50 % (22267)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)
% 0.18/0.50 % (22269)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)
% 0.18/0.51 % (22265)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)
% 0.18/0.51 % (22276)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)
% 0.18/0.51 % (22257)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)
% 0.18/0.51 % (22269)Instruction limit reached!
% 0.18/0.51 % (22269)------------------------------
% 0.18/0.51 % (22269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (22254)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.51 % (22268)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)
% 0.18/0.51 % (22257)First to succeed.
% 0.18/0.51 % (22281)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)
% 0.18/0.51 % (22255)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)
% 0.18/0.51 % (22277)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)
% 0.18/0.52 % (22268)Instruction limit reached!
% 0.18/0.52 % (22268)------------------------------
% 0.18/0.52 % (22268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22268)Termination reason: Unknown
% 0.18/0.52 % (22268)Termination phase: Preprocessing 3
% 0.18/0.52
% 0.18/0.52 % (22268)Memory used [KB]: 1535
% 0.18/0.52 % (22268)Time elapsed: 0.005 s
% 0.18/0.52 % (22268)Instructions burned: 3 (million)
% 0.18/0.52 % (22268)------------------------------
% 0.18/0.52 % (22268)------------------------------
% 0.18/0.52 % (22269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22269)Termination reason: Unknown
% 0.18/0.52 % (22269)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (22269)Memory used [KB]: 6140
% 0.18/0.52 % (22269)Time elapsed: 0.006 s
% 0.18/0.52 % (22269)Instructions burned: 7 (million)
% 0.18/0.52 % (22269)------------------------------
% 0.18/0.52 % (22269)------------------------------
% 0.18/0.52 % (22260)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)
% 0.18/0.52 % (22262)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)
% 0.18/0.52 % (22258)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)
% 0.18/0.52 % (22265)Instruction limit reached!
% 0.18/0.52 % (22265)------------------------------
% 0.18/0.52 % (22265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22265)Termination reason: Unknown
% 0.18/0.52 % (22265)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (22265)Memory used [KB]: 6140
% 0.18/0.52 % (22265)Time elapsed: 0.005 s
% 0.18/0.52 % (22265)Instructions burned: 8 (million)
% 0.18/0.52 % (22265)------------------------------
% 0.18/0.52 % (22265)------------------------------
% 0.18/0.52 % (22259)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)
% 0.18/0.52 % (22281)Also succeeded, but the first one will report.
% 0.18/0.52 % (22257)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (22257)------------------------------
% 0.18/0.52 % (22257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (22257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (22257)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (22257)Memory used [KB]: 6268
% 0.18/0.52 % (22257)Time elapsed: 0.008 s
% 0.18/0.52 % (22257)Instructions burned: 9 (million)
% 0.18/0.52 % (22257)------------------------------
% 0.18/0.52 % (22257)------------------------------
% 0.18/0.52 % (22253)Success in time 0.181 s
%------------------------------------------------------------------------------