TSTP Solution File: SET593+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET593+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 18:21:32 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 7 unt; 0 def)
% Number of atoms : 154 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 158 ( 59 ~; 58 |; 27 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 73 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f148,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f101,f145]) ).
fof(f145,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| spl5_2 ),
inference(subsumption_resolution,[],[f143,f117]) ).
fof(f117,plain,
( member(sK0(difference(sK4,sK2),sK3),union(sK2,sK3))
| spl5_2 ),
inference(unit_resulting_resolution,[],[f57,f108,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f108,plain,
( member(sK0(difference(sK4,sK2),sK3),sK4)
| spl5_2 ),
inference(unit_resulting_resolution,[],[f102,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) )
& ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0,X2,X1] :
( ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X2,X1] :
( ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X2,X1] :
( ( member(X0,X1)
& ~ member(X0,X2) )
<=> member(X0,difference(X1,X2)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f102,plain,
( member(sK0(difference(sK4,sK2),sK3),difference(sK4,sK2))
| spl5_2 ),
inference(unit_resulting_resolution,[],[f55,f35]) ).
fof(f35,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f55,plain,
( ~ subset(difference(sK4,sK2),sK3)
| spl5_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl5_2
<=> subset(difference(sK4,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f57,plain,
subset(sK4,union(sK2,sK3)),
inference(forward_demodulation,[],[f44,f29]) ).
fof(f29,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f44,plain,
subset(sK4,union(sK3,sK2)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( ~ subset(difference(sK4,sK2),sK3)
| ~ subset(difference(sK4,sK3),sK2) )
& subset(sK4,union(sK3,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f13,f27]) ).
fof(f27,plain,
( ? [X0,X1,X2] :
( ( ~ subset(difference(X2,X0),X1)
| ~ subset(difference(X2,X1),X0) )
& subset(X2,union(X1,X0)) )
=> ( ( ~ subset(difference(sK4,sK2),sK3)
| ~ subset(difference(sK4,sK3),sK2) )
& subset(sK4,union(sK3,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0,X1,X2] :
( ( ~ subset(difference(X2,X0),X1)
| ~ subset(difference(X2,X1),X0) )
& subset(X2,union(X1,X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X0,X1,X2] :
( subset(X2,union(X1,X0))
=> ( subset(difference(X2,X0),X1)
& subset(difference(X2,X1),X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X2,X1,X0] :
( subset(X0,union(X1,X2))
=> ( subset(difference(X0,X1),X2)
& subset(difference(X0,X2),X1) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X2,X1,X0] :
( subset(X0,union(X1,X2))
=> ( subset(difference(X0,X1),X2)
& subset(difference(X0,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th52) ).
fof(f143,plain,
( ~ member(sK0(difference(sK4,sK2),sK3),union(sK2,sK3))
| spl5_2 ),
inference(forward_demodulation,[],[f130,f29]) ).
fof(f130,plain,
( ~ member(sK0(difference(sK4,sK2),sK3),union(sK3,sK2))
| spl5_2 ),
inference(unit_resulting_resolution,[],[f103,f109,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X1,union(X0,X2))
| member(X1,X0)
| member(X1,X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0) )
<=> member(X1,union(X0,X2)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X2,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f109,plain,
( ~ member(sK0(difference(sK4,sK2),sK3),sK2)
| spl5_2 ),
inference(unit_resulting_resolution,[],[f102,f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f103,plain,
( ~ member(sK0(difference(sK4,sK2),sK3),sK3)
| spl5_2 ),
inference(unit_resulting_resolution,[],[f55,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f101,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| spl5_1 ),
inference(subsumption_resolution,[],[f87,f79]) ).
fof(f79,plain,
( member(sK0(difference(sK4,sK3),sK2),union(sK2,sK3))
| spl5_1 ),
inference(unit_resulting_resolution,[],[f57,f66,f36]) ).
fof(f66,plain,
( member(sK0(difference(sK4,sK3),sK2),sK4)
| spl5_1 ),
inference(unit_resulting_resolution,[],[f59,f33]) ).
fof(f59,plain,
( member(sK0(difference(sK4,sK3),sK2),difference(sK4,sK3))
| spl5_1 ),
inference(unit_resulting_resolution,[],[f51,f35]) ).
fof(f51,plain,
( ~ subset(difference(sK4,sK3),sK2)
| spl5_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl5_1
<=> subset(difference(sK4,sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f87,plain,
( ~ member(sK0(difference(sK4,sK3),sK2),union(sK2,sK3))
| spl5_1 ),
inference(unit_resulting_resolution,[],[f58,f67,f39]) ).
fof(f67,plain,
( ~ member(sK0(difference(sK4,sK3),sK2),sK3)
| spl5_1 ),
inference(unit_resulting_resolution,[],[f59,f32]) ).
fof(f58,plain,
( ~ member(sK0(difference(sK4,sK3),sK2),sK2)
| spl5_1 ),
inference(unit_resulting_resolution,[],[f51,f34]) ).
fof(f56,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f45,f53,f49]) ).
fof(f45,plain,
( ~ subset(difference(sK4,sK2),sK3)
| ~ subset(difference(sK4,sK3),sK2) ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET593+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_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 14:01:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (29214)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.48 % (29214)Refutation not found, incomplete strategy% (29214)------------------------------
% 0.20/0.48 % (29214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (29222)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.49 % (29214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (29214)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (29214)Memory used [KB]: 5884
% 0.20/0.49 % (29214)Time elapsed: 0.090 s
% 0.20/0.49 % (29214)Instructions burned: 2 (million)
% 0.20/0.49 % (29214)------------------------------
% 0.20/0.49 % (29214)------------------------------
% 0.20/0.49 % (29206)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (29206)First to succeed.
% 0.20/0.49 % (29206)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (29206)------------------------------
% 0.20/0.50 % (29206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (29206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (29206)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (29206)Memory used [KB]: 6012
% 0.20/0.50 % (29206)Time elapsed: 0.103 s
% 0.20/0.50 % (29206)Instructions burned: 5 (million)
% 0.20/0.50 % (29206)------------------------------
% 0.20/0.50 % (29206)------------------------------
% 0.20/0.50 % (29194)Success in time 0.142 s
%------------------------------------------------------------------------------