TSTP Solution File: SET014-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET014-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n029.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 18:23:05 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f225,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f187,f222]) ).
fof(f222,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f213,f24]) ).
fof(f24,axiom,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
fof(f213,plain,
( subset(union(as,bs),cs)
| ~ spl0_1 ),
inference(resolution,[],[f206,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ member(member_of_1_not_of_2(X2,X3),X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f206,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),cs)
| ~ spl0_1 ),
inference(resolution,[],[f44,f25]) ).
fof(f25,plain,
! [X0] :
( ~ member(X0,as)
| member(X0,cs) ),
inference(resolution,[],[f2,f22]) ).
fof(f22,axiom,
subset(as,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_of_c) ).
fof(f2,axiom,
! [X2,X3,X1] :
( ~ subset(X2,X3)
| member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',membership_in_subsets) ).
fof(f44,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),as)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_1
<=> member(member_of_1_not_of_2(union(as,bs),cs),as) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f187,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f183,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f126,f24]) ).
fof(f126,plain,
( subset(union(as,bs),cs)
| ~ spl0_2 ),
inference(resolution,[],[f50,f4]) ).
fof(f50,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),cs)
| ~ spl0_2 ),
inference(resolution,[],[f48,f26]) ).
fof(f26,plain,
! [X1] :
( ~ member(X1,bs)
| member(X1,cs) ),
inference(resolution,[],[f2,f23]) ).
fof(f23,axiom,
subset(bs,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_of_c) ).
fof(f48,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),bs)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_2
<=> member(member_of_1_not_of_2(union(as,bs),cs),bs) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f49,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f40,f46,f42]) ).
fof(f40,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),bs)
| member(member_of_1_not_of_2(union(as,bs),cs),as) ),
inference(resolution,[],[f35,f9]) ).
fof(f9,axiom,
! [X0,X4,X5] :
( ~ member(X0,union(X4,X5))
| member(X0,X5)
| member(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).
fof(f35,plain,
member(member_of_1_not_of_2(union(as,bs),cs),union(as,bs)),
inference(resolution,[],[f3,f24]) ).
fof(f3,axiom,
! [X2,X3] :
( subset(X2,X3)
| member(member_of_1_not_of_2(X2,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET014-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 13:02:27 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (14730)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (14746)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52 % (14746)First to succeed.
% 0.20/0.52 % (14746)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 % (14746)------------------------------
% 0.20/0.52 % (14746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14746)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (14746)Memory used [KB]: 5500
% 0.20/0.52 % (14746)Time elapsed: 0.104 s
% 0.20/0.52 % (14746)Instructions burned: 9 (million)
% 0.20/0.52 % (14746)------------------------------
% 0.20/0.52 % (14746)------------------------------
% 0.20/0.52 % (14716)Success in time 0.166 s
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