TSTP Solution File: SET009+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n003.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 18:18:18 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 114 ( 47 ~; 33 |; 21 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 72 ( 60 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f66,f77]) ).
fof(f77,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f67,f47]) ).
fof(f47,plain,
( member(sK0(difference(sK2,sK1),difference(sK2,sK3)),sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl4_1
<=> member(sK0(difference(sK2,sK1),difference(sK2,sK3)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f67,plain,
~ member(sK0(difference(sK2,sK1),difference(sK2,sK3)),sK3),
inference(unit_resulting_resolution,[],[f32,f36]) ).
fof(f36,plain,
! [X4,X5] :
( ~ member(X4,difference(X5,sK1))
| ~ member(X4,sK3) ),
inference(resolution,[],[f29,f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X0,X2))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( ( member(X1,X0)
& ~ member(X1,X2) )
| ~ member(X1,difference(X0,X2)) )
& ( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) )
& ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) )
& ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X2,X0,X1] :
( ( member(X0,X2)
& ~ member(X0,X1) )
<=> member(X0,difference(X2,X1)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X1,X0] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f29,plain,
! [X0] :
( member(X0,sK1)
| ~ member(X0,sK3) ),
inference(resolution,[],[f24,f20]) ).
fof(f20,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ subset(X0,X1)
| ~ member(X3,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f12]) ).
fof(f12,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f24,plain,
subset(sK3,sK1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ~ subset(difference(sK2,sK1),difference(sK2,sK3))
& subset(sK3,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f14,f15]) ).
fof(f15,plain,
( ? [X0,X1,X2] :
( ~ subset(difference(X1,X0),difference(X1,X2))
& subset(X2,X0) )
=> ( ~ subset(difference(sK2,sK1),difference(sK2,sK3))
& subset(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1,X2] :
( ~ subset(difference(X1,X0),difference(X1,X2))
& subset(X2,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
? [X1,X2,X0] :
( ~ subset(difference(X2,X1),difference(X2,X0))
& subset(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X1,X0,X2] :
( subset(X0,X1)
=> subset(difference(X2,X1),difference(X2,X0)) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X1,X0,X2] :
( subset(X0,X1)
=> subset(difference(X2,X1),difference(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_difference) ).
fof(f32,plain,
member(sK0(difference(sK2,sK1),difference(sK2,sK3)),difference(sK2,sK1)),
inference(resolution,[],[f25,f21]) ).
fof(f21,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
~ subset(difference(sK2,sK1),difference(sK2,sK3)),
inference(cnf_transformation,[],[f16]) ).
fof(f66,plain,
spl4_2,
inference(avatar_split_clause,[],[f54,f49]) ).
fof(f49,plain,
( spl4_2
<=> member(sK0(difference(sK2,sK1),difference(sK2,sK3)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f54,plain,
member(sK0(difference(sK2,sK1),difference(sK2,sK3)),sK2),
inference(unit_resulting_resolution,[],[f32,f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( member(X1,X0)
| ~ member(X1,difference(X0,X2)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f52,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f40,f49,f45]) ).
fof(f40,plain,
( ~ member(sK0(difference(sK2,sK1),difference(sK2,sK3)),sK2)
| member(sK0(difference(sK2,sK1),difference(sK2,sK3)),sK3) ),
inference(resolution,[],[f31,f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| member(X1,difference(X0,X2))
| member(X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
~ member(sK0(difference(sK2,sK1),difference(sK2,sK3)),difference(sK2,sK3)),
inference(unit_resulting_resolution,[],[f25,f22]) ).
fof(f22,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.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 : Tue Aug 30 12:51:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (21964)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.46 % (21964)Instruction limit reached!
% 0.20/0.46 % (21964)------------------------------
% 0.20/0.46 % (21964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (21964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (21964)Termination reason: Unknown
% 0.20/0.46 % (21964)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (21964)Memory used [KB]: 5884
% 0.20/0.46 % (21964)Time elapsed: 0.074 s
% 0.20/0.46 % (21964)Instructions burned: 3 (million)
% 0.20/0.46 % (21964)------------------------------
% 0.20/0.46 % (21964)------------------------------
% 0.20/0.46 % (21956)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.47 % (21957)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.47 % (21957)First to succeed.
% 0.20/0.47 % (21957)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (21957)------------------------------
% 0.20/0.47 % (21957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (21957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (21957)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (21957)Memory used [KB]: 6012
% 0.20/0.47 % (21957)Time elapsed: 0.075 s
% 0.20/0.47 % (21957)Instructions burned: 2 (million)
% 0.20/0.47 % (21957)------------------------------
% 0.20/0.47 % (21957)------------------------------
% 0.20/0.47 % (21949)Success in time 0.125 s
%------------------------------------------------------------------------------