TSTP Solution File: SET016-7 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET016-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 : n012.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 18:18:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 49 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 24 ~; 23 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f220,plain,
$false,
inference(avatar_sat_refutation,[],[f173,f178,f183,f212,f219]) ).
fof(f219,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f217,f172]) ).
fof(f172,plain,
( member(w,universal_class)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl0_1
<=> member(w,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f217,plain,
( ~ member(w,universal_class)
| spl0_2
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f216,f177]) ).
fof(f177,plain,
( w != y
| spl0_2 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl0_2
<=> w = y ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f216,plain,
( w = y
| ~ member(w,universal_class)
| ~ spl0_9 ),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
( ! [X6,X7] :
( ordered_pair(w,x) != ordered_pair(X6,X7)
| ~ member(X6,universal_class)
| y = X6 )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl0_9
<=> ! [X6,X7] :
( y = X6
| ~ member(X6,universal_class)
| ordered_pair(w,x) != ordered_pair(X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f212,plain,
( spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f188,f180,f210]) ).
fof(f180,plain,
( spl0_3
<=> ordered_pair(w,x) = ordered_pair(y,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f188,plain,
( ! [X6,X7] :
( y = X6
| ~ member(X6,universal_class)
| ordered_pair(w,x) != ordered_pair(X6,X7) )
| ~ spl0_3 ),
inference(superposition,[],[f151,f182]) ).
fof(f182,plain,
( ordered_pair(w,x) = ordered_pair(y,z)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f151,axiom,
! [X0,X1,X6,X4] :
( ordered_pair(X1,X4) != ordered_pair(X6,X0)
| ~ member(X6,universal_class)
| X1 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_determines_components1) ).
fof(f183,plain,
spl0_3,
inference(avatar_split_clause,[],[f166,f180]) ).
fof(f166,axiom,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_1) ).
fof(f178,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f168,f175]) ).
fof(f168,axiom,
w != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_3) ).
fof(f173,plain,
spl0_1,
inference(avatar_split_clause,[],[f167,f170]) ).
fof(f167,axiom,
member(w,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET016-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.12 % 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 : n012.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 12:52:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (27226)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.50 % (27218)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50 % (27204)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50 % (27228)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.50 % (27213)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.50 % (27203)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.50 % (27215)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.51 % (27202)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51 % (27220)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (27218)Instruction limit reached!
% 0.19/0.51 % (27218)------------------------------
% 0.19/0.51 % (27218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27218)Termination reason: Unknown
% 0.19/0.51 % (27218)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (27218)Memory used [KB]: 6140
% 0.19/0.51 % (27218)Time elapsed: 0.006 s
% 0.19/0.51 % (27218)Instructions burned: 8 (million)
% 0.19/0.51 % (27218)------------------------------
% 0.19/0.51 % (27218)------------------------------
% 0.19/0.51 % (27209)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (27216)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (27214)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (27226)First to succeed.
% 0.19/0.51 % (27214)Instruction limit reached!
% 0.19/0.51 % (27214)------------------------------
% 0.19/0.51 % (27214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27214)Termination reason: Unknown
% 0.19/0.51 % (27214)Termination phase: Function definition elimination
% 0.19/0.51
% 0.19/0.51 % (27214)Memory used [KB]: 1407
% 0.19/0.51 % (27214)Time elapsed: 0.003 s
% 0.19/0.51 % (27214)Instructions burned: 4 (million)
% 0.19/0.51 % (27214)------------------------------
% 0.19/0.51 % (27214)------------------------------
% 0.19/0.51 % (27226)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (27226)------------------------------
% 0.19/0.51 % (27226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27226)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (27226)Memory used [KB]: 6012
% 0.19/0.51 % (27226)Time elapsed: 0.116 s
% 0.19/0.51 % (27226)Instructions burned: 4 (million)
% 0.19/0.51 % (27226)------------------------------
% 0.19/0.51 % (27226)------------------------------
% 0.19/0.51 % (27195)Success in time 0.171 s
%------------------------------------------------------------------------------