TSTP Solution File: SET009+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_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 18:23:02 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 7 unt; 0 def)
% Number of atoms : 80 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 69 ( 28 ~; 28 |; 3 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 44 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f180,plain,
$false,
inference(avatar_sat_refutation,[],[f173,f176,f179]) ).
fof(f179,plain,
~ spl6_8,
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| ~ spl6_8 ),
inference(resolution,[],[f172,f21]) ).
fof(f21,plain,
~ subset(sF4,sF5),
inference(definition_folding,[],[f18,f20,f19]) ).
fof(f19,plain,
difference(sK2,sK3) = sF4,
introduced(function_definition,[]) ).
fof(f20,plain,
sF5 = difference(sK2,sK1),
introduced(function_definition,[]) ).
fof(f18,plain,
~ subset(difference(sK2,sK3),difference(sK2,sK1)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
? [X1,X2,X0] :
( ~ subset(difference(X2,X0),difference(X2,X1))
& subset(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ! [X2,X0,X1] :
( subset(X1,X0)
=> subset(difference(X2,X0),difference(X2,X1)) ),
inference(rectify,[],[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/sandbox/benchmark/theBenchmark.p',prove_subset_difference) ).
fof(f172,plain,
( subset(sF4,sF5)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl6_8
<=> subset(sF4,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f176,plain,
( spl6_8
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f175,f166,f170]) ).
fof(f166,plain,
( spl6_7
<=> member(sK0(sF4,sF5),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f175,plain,
( subset(sF4,sF5)
| ~ spl6_7 ),
inference(resolution,[],[f174,f32]) ).
fof(f32,plain,
! [X0] :
( ~ member(sK0(sF4,X0),sK3)
| subset(sF4,X0) ),
inference(resolution,[],[f30,f12]) ).
fof(f12,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f30,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(X0,sK3) ),
inference(superposition,[],[f15,f19]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X2,X0,X1] :
( member(X2,difference(X1,X0))
<=> ( ~ member(X2,X0)
& member(X2,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f174,plain,
( member(sK0(sF4,sF5),sK3)
| ~ spl6_7 ),
inference(resolution,[],[f168,f39]) ).
fof(f39,plain,
! [X2] :
( ~ member(X2,sK1)
| member(X2,sK3) ),
inference(resolution,[],[f11,f17]) ).
fof(f17,plain,
subset(sK1,sK3),
inference(cnf_transformation,[],[f8]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f168,plain,
( member(sK0(sF4,sF5),sK1)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f173,plain,
( spl6_7
| spl6_8 ),
inference(avatar_split_clause,[],[f164,f170,f166]) ).
fof(f164,plain,
( subset(sF4,sF5)
| member(sK0(sF4,sF5),sK1) ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f161,plain,
( subset(sF4,sF5)
| member(sK0(sF4,sF5),sK1)
| subset(sF4,sF5) ),
inference(resolution,[],[f53,f13]) ).
fof(f13,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f53,plain,
! [X0] :
( member(sK0(sF4,X0),sF5)
| member(sK0(sF4,X0),sK1)
| subset(sF4,X0) ),
inference(resolution,[],[f49,f27]) ).
fof(f27,plain,
! [X0] :
( member(sK0(sF4,X0),sK2)
| subset(sF4,X0) ),
inference(resolution,[],[f25,f12]) ).
fof(f25,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sK2) ),
inference(superposition,[],[f14,f19]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f49,plain,
! [X1] :
( ~ member(X1,sK2)
| member(X1,sF5)
| member(X1,sK1) ),
inference(superposition,[],[f16,f20]) ).
fof(f16,plain,
! [X2,X0,X1] :
( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 13:00:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (30952)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.51 % (30933)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52 % (30933)First to succeed.
% 0.20/0.52 % (30933)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (30933)------------------------------
% 0.20/0.52 % (30933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30933)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (30933)Memory used [KB]: 5500
% 0.20/0.52 % (30933)Time elapsed: 0.097 s
% 0.20/0.52 % (30933)Instructions burned: 5 (million)
% 0.20/0.52 % (30933)------------------------------
% 0.20/0.52 % (30933)------------------------------
% 0.20/0.52 % (30929)Success in time 0.17 s
%------------------------------------------------------------------------------