TSTP Solution File: NUM009-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 17:56:35 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 6 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(avatar_sat_refutation,[],[f236,f239]) ).
fof(f239,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| spl0_2 ),
inference(unit_resulting_resolution,[],[f61,f234,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f234,plain,
( ~ little_set(empty_set)
| spl0_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl0_2
<=> little_set(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f61,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infinity2) ).
fof(f236,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f226,f232]) ).
fof(f226,plain,
~ little_set(empty_set),
inference(unit_resulting_resolution,[],[f220,f221,f169]) ).
fof(f169,axiom,
! [X3] :
( ~ little_set(X3)
| member(X3,natural_numbers)
| member(empty_set,f44(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',natural_numbers4) ).
fof(f221,plain,
~ member(empty_set,f44(empty_set)),
inference(unit_resulting_resolution,[],[f220,f171]) ).
fof(f171,axiom,
! [X3] :
( ~ member(X3,f44(X3))
| member(X3,natural_numbers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',natural_numbers6) ).
fof(f220,axiom,
~ member(empty_set,natural_numbers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zero_is_a_natural) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % 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 : n012.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 05:47:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (16174)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (16190)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.51 % (16170)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)
% 0.19/0.52 % (16182)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)
% 0.19/0.52 % (16191)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (16176)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (16183)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)
% 0.19/0.52 % (16176)Instruction limit reached!
% 0.19/0.52 % (16176)------------------------------
% 0.19/0.52 % (16176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16176)Termination reason: Unknown
% 0.19/0.52 % (16176)Termination phase: Function definition elimination
% 0.19/0.52
% 0.19/0.52 % (16176)Memory used [KB]: 1535
% 0.19/0.52 % (16176)Time elapsed: 0.005 s
% 0.19/0.52 % (16176)Instructions burned: 3 (million)
% 0.19/0.52 % (16176)------------------------------
% 0.19/0.52 % (16176)------------------------------
% 0.19/0.53 % (16175)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (16168)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53 % (16169)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.53 % (16190)First to succeed.
% 0.19/0.53 % (16183)Instruction limit reached!
% 0.19/0.53 % (16183)------------------------------
% 0.19/0.53 % (16183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16183)Termination reason: Unknown
% 0.19/0.53 % (16183)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (16183)Memory used [KB]: 1535
% 0.19/0.53 % (16183)Time elapsed: 0.008 s
% 0.19/0.53 % (16183)Instructions burned: 7 (million)
% 0.19/0.53 % (16183)------------------------------
% 0.19/0.53 % (16183)------------------------------
% 0.19/0.53 % (16175)Refutation not found, incomplete strategy% (16175)------------------------------
% 0.19/0.53 % (16175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16175)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (16175)Memory used [KB]: 6012
% 0.19/0.53 % (16175)Time elapsed: 0.005 s
% 0.19/0.53 % (16175)Instructions burned: 2 (million)
% 0.19/0.53 % (16175)------------------------------
% 0.19/0.53 % (16175)------------------------------
% 0.19/0.53 % (16178)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (16170)Instruction limit reached!
% 0.19/0.53 % (16170)------------------------------
% 0.19/0.53 % (16170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16170)Termination reason: Unknown
% 0.19/0.53 % (16170)Termination phase: General splitting
% 0.19/0.53
% 0.19/0.53 % (16170)Memory used [KB]: 1535
% 0.19/0.53 % (16170)Time elapsed: 0.004 s
% 0.19/0.53 % (16170)Instructions burned: 4 (million)
% 0.19/0.53 % (16170)------------------------------
% 0.19/0.53 % (16170)------------------------------
% 0.19/0.53 % (16186)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.53 % (16190)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (16190)------------------------------
% 0.19/0.53 % (16190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16190)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (16190)Memory used [KB]: 6140
% 0.19/0.53 % (16190)Time elapsed: 0.115 s
% 0.19/0.53 % (16190)Instructions burned: 7 (million)
% 0.19/0.53 % (16190)------------------------------
% 0.19/0.53 % (16190)------------------------------
% 0.19/0.53 % (16157)Success in time 0.18 s
%------------------------------------------------------------------------------