TSTP Solution File: SET143+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET143+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 : n022.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 18:19:30 EDT 2022
% Result : Theorem 0.14s 0.48s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 8 unt; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 144 ( 51 ~; 62 |; 13 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 62 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f74,f100,f125,f164,f183,f208]) ).
fof(f208,plain,
( spl4_2
| spl4_5 ),
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| spl4_2
| spl4_5 ),
inference(subsumption_resolution,[],[f202,f159]) ).
fof(f159,plain,
( ~ member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),intersection(sK0,sK2))
| spl4_5 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl4_5
<=> member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),intersection(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f202,plain,
( member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),intersection(sK0,sK2))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f143,f171,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| ~ member(X2,X0)
| member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection) ).
fof(f171,plain,
( member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),sK2)
| spl4_2 ),
inference(unit_resulting_resolution,[],[f144,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f144,plain,
( member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),intersection(sK2,sK1))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f129,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f129,plain,
( member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),intersection(sK0,intersection(sK2,sK1)))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f47,f37]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( subset(X0,X1)
| ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f28,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
=> subset(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f47,plain,
( ~ subset(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1))
| spl4_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl4_2
<=> subset(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f143,plain,
( member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),sK0)
| spl4_2 ),
inference(unit_resulting_resolution,[],[f129,f33]) ).
fof(f183,plain,
( spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f172,f45,f161]) ).
fof(f161,plain,
( spl4_6
<=> member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f172,plain,
( member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),sK1)
| spl4_2 ),
inference(unit_resulting_resolution,[],[f144,f34]) ).
fof(f164,plain,
( ~ spl4_5
| ~ spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f153,f45,f161,f157]) ).
fof(f153,plain,
( ~ member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),sK1)
| ~ member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),intersection(sK0,sK2))
| spl4_2 ),
inference(resolution,[],[f130,f35]) ).
fof(f130,plain,
( ~ member(sK3(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1)),intersection(intersection(sK0,sK2),sK1))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f47,f36]) ).
fof(f36,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f125,plain,
( spl4_1
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f124,plain,
( $false
| spl4_1
| spl4_4 ),
inference(subsumption_resolution,[],[f115,f73]) ).
fof(f73,plain,
( ~ member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),intersection(sK2,sK1))
| spl4_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl4_4
<=> member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),intersection(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f115,plain,
( member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),intersection(sK2,sK1))
| spl4_1 ),
inference(unit_resulting_resolution,[],[f54,f87,f35]) ).
fof(f87,plain,
( member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),sK2)
| spl4_1 ),
inference(unit_resulting_resolution,[],[f53,f34]) ).
fof(f53,plain,
( member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),intersection(sK0,sK2))
| spl4_1 ),
inference(unit_resulting_resolution,[],[f49,f33]) ).
fof(f49,plain,
( member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),intersection(intersection(sK0,sK2),sK1))
| spl4_1 ),
inference(unit_resulting_resolution,[],[f43,f37]) ).
fof(f43,plain,
( ~ subset(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1)))
| spl4_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl4_1
<=> subset(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f54,plain,
( member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),sK1)
| spl4_1 ),
inference(unit_resulting_resolution,[],[f49,f34]) ).
fof(f100,plain,
( spl4_1
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f99,plain,
( $false
| spl4_1
| spl4_3 ),
inference(subsumption_resolution,[],[f85,f69]) ).
fof(f69,plain,
( ~ member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),sK0)
| spl4_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl4_3
<=> member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f85,plain,
( member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),sK0)
| spl4_1 ),
inference(unit_resulting_resolution,[],[f53,f33]) ).
fof(f74,plain,
( ~ spl4_3
| ~ spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f63,f41,f71,f67]) ).
fof(f63,plain,
( ~ member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),intersection(sK2,sK1))
| ~ member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),sK0)
| spl4_1 ),
inference(resolution,[],[f50,f35]) ).
fof(f50,plain,
( ~ member(sK3(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),intersection(sK0,intersection(sK2,sK1)))
| spl4_1 ),
inference(unit_resulting_resolution,[],[f43,f36]) ).
fof(f48,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f39,f45,f41]) ).
fof(f39,plain,
( ~ subset(intersection(sK0,intersection(sK2,sK1)),intersection(intersection(sK0,sK2),sK1))
| ~ subset(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))) ),
inference(resolution,[],[f32,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X1,X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> equal_set(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f32,plain,
~ equal_set(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
~ equal_set(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f24]) ).
fof(f24,plain,
( ? [X0,X1,X2] : ~ equal_set(intersection(intersection(X0,X2),X1),intersection(X0,intersection(X2,X1)))
=> ~ equal_set(intersection(intersection(sK0,sK2),sK1),intersection(sK0,intersection(sK2,sK1))) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1,X2] : ~ equal_set(intersection(intersection(X0,X2),X1),intersection(X0,intersection(X2,X1))),
inference(rectify,[],[f19]) ).
fof(f19,plain,
? [X1,X2,X0] : ~ equal_set(intersection(intersection(X1,X0),X2),intersection(X1,intersection(X0,X2))),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1,X2] : equal_set(intersection(intersection(X1,X0),X2),intersection(X1,intersection(X0,X2))),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X0,X5] : equal_set(intersection(intersection(X0,X1),X5),intersection(X0,intersection(X1,X5))),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X0,X5] : equal_set(intersection(intersection(X0,X1),X5),intersection(X0,intersection(X1,X5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI08) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET143+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.08/0.29 % Computer : n022.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Aug 30 13:23:10 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.14/0.45 % (20301)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.14/0.45 % (20320)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)
% 0.14/0.45 % (20320)Refutation not found, incomplete strategy% (20320)------------------------------
% 0.14/0.45 % (20320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (20313)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.46 % (20320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (20320)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46
% 0.14/0.46 % (20320)Memory used [KB]: 1407
% 0.14/0.46 % (20320)Time elapsed: 0.058 s
% 0.14/0.46 % (20320)Instructions burned: 1 (million)
% 0.14/0.46 % (20320)------------------------------
% 0.14/0.46 % (20320)------------------------------
% 0.14/0.46 % (20301)Instruction limit reached!
% 0.14/0.46 % (20301)------------------------------
% 0.14/0.46 % (20301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (20304)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)
% 0.14/0.47 % (20319)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.14/0.47 % (20304)First to succeed.
% 0.14/0.48 % (20311)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)
% 0.14/0.48 % (20311)Instruction limit reached!
% 0.14/0.48 % (20311)------------------------------
% 0.14/0.48 % (20311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (20301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (20301)Termination reason: Unknown
% 0.14/0.48 % (20301)Termination phase: Saturation
% 0.14/0.48
% 0.14/0.48 % (20301)Memory used [KB]: 6140
% 0.14/0.48 % (20301)Time elapsed: 0.107 s
% 0.14/0.48 % (20301)Instructions burned: 13 (million)
% 0.14/0.48 % (20301)------------------------------
% 0.14/0.48 % (20301)------------------------------
% 0.14/0.48 % (20311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (20311)Termination reason: Unknown
% 0.14/0.48 % (20311)Termination phase: Saturation
% 0.14/0.48
% 0.14/0.48 % (20311)Memory used [KB]: 5884
% 0.14/0.48 % (20311)Time elapsed: 0.004 s
% 0.14/0.48 % (20311)Instructions burned: 3 (million)
% 0.14/0.48 % (20311)------------------------------
% 0.14/0.48 % (20311)------------------------------
% 0.14/0.48 % (20302)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)
% 0.14/0.48 % (20304)Refutation found. Thanks to Tanya!
% 0.14/0.48 % SZS status Theorem for theBenchmark
% 0.14/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48 % (20304)------------------------------
% 0.14/0.48 % (20304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (20304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (20304)Termination reason: Refutation
% 0.14/0.48
% 0.14/0.48 % (20304)Memory used [KB]: 6012
% 0.14/0.48 % (20304)Time elapsed: 0.073 s
% 0.14/0.48 % (20304)Instructions burned: 5 (million)
% 0.14/0.48 % (20304)------------------------------
% 0.14/0.48 % (20304)------------------------------
% 0.14/0.48 % (20296)Success in time 0.185 s
%------------------------------------------------------------------------------