TSTP Solution File: GRP006-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP006-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n007.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 16:18:54 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 46 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 19 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f35,f37,f41]) ).
fof(f41,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f40]) ).
fof(f40,plain,
( $false
| ~ spl1_4 ),
inference(subsumption_resolution,[],[f39,f8]) ).
fof(f8,axiom,
an_element(the_element),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_of_set) ).
fof(f39,plain,
( ~ an_element(the_element)
| ~ spl1_4 ),
inference(subsumption_resolution,[],[f38,f11]) ).
fof(f11,plain,
~ an_element(sF0),
inference(definition_folding,[],[f9,f10]) ).
fof(f10,plain,
inverse(the_element) = sF0,
introduced(function_definition,[]) ).
fof(f9,axiom,
~ an_element(inverse(the_element)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_inverse_is_in_set) ).
fof(f38,plain,
( an_element(sF0)
| ~ an_element(the_element)
| ~ spl1_4 ),
inference(superposition,[],[f34,f10]) ).
fof(f34,plain,
( ! [X0] :
( an_element(inverse(X0))
| ~ an_element(X0) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl1_4
<=> ! [X0] :
( ~ an_element(X0)
| an_element(inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f37,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f36]) ).
fof(f36,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f30,f8]) ).
fof(f30,plain,
( ! [X1] : ~ an_element(X1)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl1_3
<=> ! [X1] : ~ an_element(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f35,plain,
( ~ spl1_1
| spl1_4 ),
inference(avatar_split_clause,[],[f14,f33,f21]) ).
fof(f21,plain,
( spl1_1
<=> an_element(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f14,plain,
! [X0] :
( ~ an_element(X0)
| ~ an_element(identity)
| an_element(inverse(X0)) ),
inference(resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ product(X0,inverse(X1),X2)
| ~ an_element(X1)
| ~ an_element(X0)
| an_element(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f31,plain,
( spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f18,f29,f21]) ).
fof(f18,plain,
! [X1] :
( ~ an_element(X1)
| an_element(identity) ),
inference(duplicate_literal_removal,[],[f15]) ).
fof(f15,plain,
! [X1] :
( an_element(identity)
| ~ an_element(X1)
| ~ an_element(X1) ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:52:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (3449)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50 % (3457)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.51 % (3455)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.51 % (3455)First to succeed.
% 0.20/0.51 % (3455)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (3455)------------------------------
% 0.20/0.51 % (3455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (3455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (3455)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (3455)Memory used [KB]: 5373
% 0.20/0.51 % (3455)Time elapsed: 0.108 s
% 0.20/0.51 % (3455)Instructions burned: 2 (million)
% 0.20/0.51 % (3455)------------------------------
% 0.20/0.51 % (3455)------------------------------
% 0.20/0.51 % (3442)Success in time 0.161 s
%------------------------------------------------------------------------------