TSTP Solution File: SET695+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET695+4 : 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 : n024.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 18:21:54 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 2 unt; 0 def)
% Number of atoms : 205 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 215 ( 74 ~; 79 |; 41 &)
% ( 12 <=>; 7 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 87 ( 66 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f210,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f51,f104,f118,f120,f209]) ).
fof(f209,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f208,plain,
( $false
| ~ spl4_1
| spl4_2 ),
inference(subsumption_resolution,[],[f200,f139]) ).
fof(f139,plain,
( member(sK0(sK2,sK3),difference(sK1,sK2))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f123,f131,f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,difference(X1,X0))
| member(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( ( member(X2,X1)
& ~ member(X2,X0) )
| ~ member(X2,difference(X1,X0)) )
& ( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X0,X2,X1] :
( ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) ) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X2,X1] :
( ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X2,X1] :
( ( member(X1,X2)
& ~ member(X1,X0) )
<=> member(X1,difference(X2,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X3] :
( member(X1,difference(X3,X0))
<=> ( member(X1,X3)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference) ).
fof(f131,plain,
( member(sK0(sK2,sK3),sK1)
| spl4_2 ),
inference(unit_resulting_resolution,[],[f124,f53]) ).
fof(f53,plain,
! [X0] :
( member(X0,sK1)
| ~ member(X0,sK3) ),
inference(resolution,[],[f41,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
=> ( ~ member(sK0(X0,X1),X0)
& member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f41,plain,
subset(sK3,sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( subset(sK3,sK1)
& subset(sK2,sK1)
& ( ~ subset(sK3,sK2)
| ~ subset(difference(sK1,sK2),difference(sK1,sK3)) )
& ( subset(sK3,sK2)
| subset(difference(sK1,sK2),difference(sK1,sK3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f29,f30]) ).
fof(f30,plain,
( ? [X0,X1,X2] :
( subset(X2,X0)
& subset(X1,X0)
& ( ~ subset(X2,X1)
| ~ subset(difference(X0,X1),difference(X0,X2)) )
& ( subset(X2,X1)
| subset(difference(X0,X1),difference(X0,X2)) ) )
=> ( subset(sK3,sK1)
& subset(sK2,sK1)
& ( ~ subset(sK3,sK2)
| ~ subset(difference(sK1,sK2),difference(sK1,sK3)) )
& ( subset(sK3,sK2)
| subset(difference(sK1,sK2),difference(sK1,sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0,X1,X2] :
( subset(X2,X0)
& subset(X1,X0)
& ( ~ subset(X2,X1)
| ~ subset(difference(X0,X1),difference(X0,X2)) )
& ( subset(X2,X1)
| subset(difference(X0,X1),difference(X0,X2)) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X2,X0,X1] :
( subset(X1,X2)
& subset(X0,X2)
& ( ~ subset(X1,X0)
| ~ subset(difference(X2,X0),difference(X2,X1)) )
& ( subset(X1,X0)
| subset(difference(X2,X0),difference(X2,X1)) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X2,X0,X1] :
( subset(X1,X2)
& subset(X0,X2)
& ( ~ subset(X1,X0)
| ~ subset(difference(X2,X0),difference(X2,X1)) )
& ( subset(X1,X0)
| subset(difference(X2,X0),difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
? [X2,X0,X1] :
( subset(X1,X2)
& subset(X0,X2)
& ( subset(difference(X2,X0),difference(X2,X1))
<~> subset(X1,X0) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X2,X1] :
( ( subset(difference(X2,X0),difference(X2,X1))
<~> subset(X1,X0) )
& subset(X1,X2)
& subset(X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X2,X1] :
( ( subset(X1,X2)
& subset(X0,X2) )
=> ( subset(X1,X0)
<=> subset(difference(X2,X0),difference(X2,X1)) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X0,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(difference(X3,X1),difference(X3,X0))
<=> subset(X0,X1) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X0,X3] :
( ( subset(X1,X3)
& subset(X0,X3) )
=> ( subset(difference(X3,X1),difference(X3,X0))
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI24) ).
fof(f124,plain,
( member(sK0(sK2,sK3),sK3)
| spl4_2 ),
inference(resolution,[],[f49,f35]) ).
fof(f35,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
( ~ subset(sK3,sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl4_2
<=> subset(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f123,plain,
( ~ member(sK0(sK2,sK3),sK2)
| spl4_2 ),
inference(resolution,[],[f49,f36]) ).
fof(f36,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f200,plain,
( ~ member(sK0(sK2,sK3),difference(sK1,sK2))
| ~ spl4_1
| spl4_2 ),
inference(resolution,[],[f138,f125]) ).
fof(f125,plain,
( ! [X0] :
( member(X0,difference(sK1,sK3))
| ~ member(X0,difference(sK1,sK2)) )
| ~ spl4_1 ),
inference(resolution,[],[f44,f37]) ).
fof(f44,plain,
( subset(difference(sK1,sK2),difference(sK1,sK3))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl4_1
<=> subset(difference(sK1,sK2),difference(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f138,plain,
( ! [X2] : ~ member(sK0(sK2,sK3),difference(X2,sK3))
| spl4_2 ),
inference(resolution,[],[f124,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f120,plain,
( ~ spl4_4
| spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f105,f47,f43,f101]) ).
fof(f101,plain,
( spl4_4
<=> member(sK0(difference(sK1,sK3),difference(sK1,sK2)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f105,plain,
( ~ member(sK0(difference(sK1,sK3),difference(sK1,sK2)),sK3)
| spl4_1
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f58,f69]) ).
fof(f69,plain,
( ! [X4,X5] :
( ~ member(X4,difference(X5,sK2))
| ~ member(X4,sK3) )
| ~ spl4_2 ),
inference(resolution,[],[f54,f33]) ).
fof(f54,plain,
( ! [X0] :
( member(X0,sK2)
| ~ member(X0,sK3) )
| ~ spl4_2 ),
inference(resolution,[],[f48,f37]) ).
fof(f48,plain,
( subset(sK3,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f58,plain,
( member(sK0(difference(sK1,sK3),difference(sK1,sK2)),difference(sK1,sK2))
| spl4_1 ),
inference(resolution,[],[f45,f35]) ).
fof(f45,plain,
( ~ subset(difference(sK1,sK2),difference(sK1,sK3))
| spl4_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f118,plain,
( spl4_1
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| spl4_1
| spl4_3 ),
inference(subsumption_resolution,[],[f106,f99]) ).
fof(f99,plain,
( ~ member(sK0(difference(sK1,sK3),difference(sK1,sK2)),sK1)
| spl4_3 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl4_3
<=> member(sK0(difference(sK1,sK3),difference(sK1,sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f106,plain,
( member(sK0(difference(sK1,sK3),difference(sK1,sK2)),sK1)
| spl4_1 ),
inference(unit_resulting_resolution,[],[f58,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f104,plain,
( ~ spl4_3
| spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f92,f43,f101,f97]) ).
fof(f92,plain,
( member(sK0(difference(sK1,sK3),difference(sK1,sK2)),sK3)
| ~ member(sK0(difference(sK1,sK3),difference(sK1,sK2)),sK1)
| spl4_1 ),
inference(resolution,[],[f57,f32]) ).
fof(f57,plain,
( ~ member(sK0(difference(sK1,sK3),difference(sK1,sK2)),difference(sK1,sK3))
| spl4_1 ),
inference(resolution,[],[f45,f36]) ).
fof(f51,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f38,f47,f43]) ).
fof(f38,plain,
( subset(sK3,sK2)
| subset(difference(sK1,sK2),difference(sK1,sK3)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f50,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f39,f47,f43]) ).
fof(f39,plain,
( ~ subset(sK3,sK2)
| ~ subset(difference(sK1,sK2),difference(sK1,sK3)) ),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET695+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:27:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (11786)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.46 % (11786)Refutation not found, incomplete strategy% (11786)------------------------------
% 0.18/0.46 % (11786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (11786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (11786)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.47
% 0.18/0.47 % (11786)Memory used [KB]: 1407
% 0.18/0.47 % (11786)Time elapsed: 0.062 s
% 0.18/0.47 % (11786)Instructions burned: 1 (million)
% 0.18/0.47 % (11786)------------------------------
% 0.18/0.47 % (11786)------------------------------
% 0.18/0.47 % (11781)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48 % (11781)Instruction limit reached!
% 0.18/0.48 % (11781)------------------------------
% 0.18/0.48 % (11781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (11781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (11781)Termination reason: Unknown
% 0.18/0.48 % (11781)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (11781)Memory used [KB]: 5884
% 0.18/0.48 % (11781)Time elapsed: 0.071 s
% 0.18/0.48 % (11781)Instructions burned: 2 (million)
% 0.18/0.48 % (11781)------------------------------
% 0.18/0.48 % (11781)------------------------------
% 0.18/0.48 % (11770)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)
% 0.18/0.50 % (11768)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.50 % (11770)First to succeed.
% 0.18/0.50 % (11770)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (11770)------------------------------
% 0.18/0.50 % (11770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (11770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (11770)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (11770)Memory used [KB]: 6012
% 0.18/0.50 % (11770)Time elapsed: 0.093 s
% 0.18/0.50 % (11770)Instructions burned: 5 (million)
% 0.18/0.50 % (11770)------------------------------
% 0.18/0.50 % (11770)------------------------------
% 0.18/0.50 % (11762)Success in time 0.162 s
%------------------------------------------------------------------------------