TSTP Solution File: GRP033-3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP033-3 : TPTP v8.1.0. Bugfixed 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 : n017.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 16:13:47 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(avatar_sat_refutation,[],[f113,f120,f132]) ).
fof(f132,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f130,f92]) ).
fof(f92,plain,
( subgroup_member(identity)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_1
<=> subgroup_member(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f130,plain,
~ subgroup_member(identity),
inference(subsumption_resolution,[],[f123,f11]) ).
fof(f11,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f123,plain,
( ~ product(identity,j(identity),j(identity))
| ~ subgroup_member(identity) ),
inference(resolution,[],[f22,f12]) ).
fof(f12,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f22,axiom,
! [X4] :
( ~ product(j(X4),X4,j(X4))
| ~ product(X4,j(X4),j(X4))
| ~ subgroup_member(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subgr2) ).
fof(f120,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f118,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f112,f20]) ).
fof(f20,axiom,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f112,plain,
( ! [X12] : ~ subgroup_member(X12)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_6
<=> ! [X12] : ~ subgroup_member(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f113,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f89,f111,f91]) ).
fof(f89,plain,
! [X12] :
( ~ subgroup_member(X12)
| subgroup_member(identity) ),
inference(duplicate_literal_removal,[],[f88]) ).
fof(f88,plain,
! [X12] :
( subgroup_member(identity)
| ~ subgroup_member(X12)
| ~ subgroup_member(X12) ),
inference(resolution,[],[f19,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f19,axiom,
! [X8,X4,X5] :
( ~ product(X4,inverse(X5),X8)
| ~ subgroup_member(X4)
| subgroup_member(X8)
| ~ subgroup_member(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP033-3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n017.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 : Mon Aug 29 21:33:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (6891)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)
% 0.20/0.50 % (6909)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)
% 0.20/0.50 % (6910)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)
% 0.20/0.51 % (6901)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)
% 0.20/0.51 % (6887)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (6893)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)
% 0.20/0.52 % (6887)First to succeed.
% 0.20/0.52 % (6901)Also succeeded, but the first one will report.
% 0.20/0.52 % (6887)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (6887)------------------------------
% 0.20/0.52 % (6887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (6887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (6887)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (6887)Memory used [KB]: 5884
% 0.20/0.52 % (6887)Time elapsed: 0.085 s
% 0.20/0.52 % (6887)Instructions burned: 6 (million)
% 0.20/0.52 % (6887)------------------------------
% 0.20/0.52 % (6887)------------------------------
% 0.20/0.52 % (6886)Success in time 0.172 s
%------------------------------------------------------------------------------