TSTP Solution File: GRP033-3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n028.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 16:19:11 EDT 2022
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,plain,
$false,
inference(avatar_sat_refutation,[],[f111,f166,f174,f186]) ).
fof(f186,plain,
spl2_10,
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| spl2_10 ),
inference(resolution,[],[f173,f11]) ).
fof(f11,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f173,plain,
( ~ product(identity,j(identity),j(identity))
| spl2_10 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl2_10
<=> product(identity,j(identity),j(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f174,plain,
( ~ spl2_10
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f167,f105,f171]) ).
fof(f105,plain,
( spl2_1
<=> subgroup_member(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f167,plain,
( ~ subgroup_member(identity)
| ~ product(identity,j(identity),j(identity)) ),
inference(resolution,[],[f22,f12]) ).
fof(f12,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f22,axiom,
! [X4] :
( ~ product(j(X4),X4,j(X4))
| ~ subgroup_member(X4)
| ~ product(X4,j(X4),j(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subgr2) ).
fof(f166,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f164]) ).
fof(f164,plain,
( $false
| ~ spl2_2 ),
inference(resolution,[],[f110,f20]) ).
fof(f20,axiom,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f110,plain,
( ! [X12] : ~ subgroup_member(X12)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl2_2
<=> ! [X12] : ~ subgroup_member(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f111,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f103,f109,f105]) ).
fof(f103,plain,
! [X12] :
( ~ subgroup_member(X12)
| subgroup_member(identity) ),
inference(duplicate_literal_removal,[],[f100]) ).
fof(f100,plain,
! [X12] :
( ~ subgroup_member(X12)
| subgroup_member(identity)
| ~ subgroup_member(X12) ),
inference(resolution,[],[f19,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/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/sandbox2/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.
% 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:18:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.45 % (6056)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.45 TRYING [1]
% 0.18/0.46 % (6060)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.46 % (6074)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.46 % (6060)First to succeed.
% 0.18/0.46 % (6052)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.46 % (6060)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (6060)------------------------------
% 0.18/0.46 % (6060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (6060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (6060)Termination reason: Refutation
% 0.18/0.46
% 0.18/0.46 % (6060)Memory used [KB]: 5500
% 0.18/0.46 % (6060)Time elapsed: 0.062 s
% 0.18/0.46 % (6060)Instructions burned: 6 (million)
% 0.18/0.46 % (6060)------------------------------
% 0.18/0.46 % (6060)------------------------------
% 0.18/0.46 % (6047)Success in time 0.127 s
%------------------------------------------------------------------------------