TSTP Solution File: SET700+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET700+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 : n019.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 18:21:55 EDT 2022
% Result : Theorem 1.19s 0.53s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 2 unt; 0 def)
% Number of atoms : 205 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 224 ( 79 ~; 80 |; 46 &)
% ( 11 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 96 ( 78 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f355,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f56,f308,f354]) ).
fof(f354,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl4_1
| spl4_2 ),
inference(subsumption_resolution,[],[f339,f329]) ).
fof(f329,plain,
( ~ member(sK0(intersection(sK2,difference(sK1,sK3)),sK3),sK2)
| ~ spl4_1
| spl4_2 ),
inference(unit_resulting_resolution,[],[f50,f320,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,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])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,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,[],[f26]) ).
fof(f26,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,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f320,plain,
( ~ member(sK0(intersection(sK2,difference(sK1,sK3)),sK3),sK3)
| spl4_2 ),
inference(resolution,[],[f53,f40]) ).
fof(f40,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
( ~ subset(intersection(sK2,difference(sK1,sK3)),sK3)
| spl4_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl4_2
<=> subset(intersection(sK2,difference(sK1,sK3)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f50,plain,
( subset(sK2,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl4_1
<=> subset(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f339,plain,
( member(sK0(intersection(sK2,difference(sK1,sK3)),sK3),sK2)
| spl4_2 ),
inference(unit_resulting_resolution,[],[f319,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) )
& ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) )
& ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] :
( ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) )
& ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X2,X0] :
( ( member(X0,X1)
& member(X0,X2) )
<=> member(X0,intersection(X1,X2)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f319,plain,
( member(sK0(intersection(sK2,difference(sK1,sK3)),sK3),intersection(sK2,difference(sK1,sK3)))
| spl4_2 ),
inference(resolution,[],[f53,f41]) ).
fof(f41,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f308,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f299,f90]) ).
fof(f90,plain,
( member(sK0(sK2,sK3),difference(sK1,sK3))
| spl4_1 ),
inference(unit_resulting_resolution,[],[f62,f66,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( member(X1,X2)
| ~ member(X1,X0)
| member(X1,difference(X0,X2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,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,[],[f24]) ).
fof(f24,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,[],[f23]) ).
fof(f23,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,[],[f16]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ( member(X0,X2)
& ~ member(X0,X1) )
<=> member(X0,difference(X2,X1)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0,X3] :
( member(X1,difference(X3,X0))
<=> ( member(X1,X3)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f66,plain,
( member(sK0(sK2,sK3),sK1)
| spl4_1 ),
inference(unit_resulting_resolution,[],[f44,f61,f42]) ).
fof(f61,plain,
( member(sK0(sK2,sK3),sK2)
| spl4_1 ),
inference(resolution,[],[f49,f41]) ).
fof(f49,plain,
( ~ subset(sK2,sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f44,plain,
subset(sK2,sK1),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ~ subset(sK2,sK3)
| ~ subset(intersection(sK2,difference(sK1,sK3)),sK3) )
& ( subset(sK2,sK3)
| subset(intersection(sK2,difference(sK1,sK3)),sK3) )
& subset(sK2,sK1)
& subset(sK3,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f31,f32]) ).
fof(f32,plain,
( ? [X0,X1,X2] :
( ( ~ subset(X1,X2)
| ~ subset(intersection(X1,difference(X0,X2)),X2) )
& ( subset(X1,X2)
| subset(intersection(X1,difference(X0,X2)),X2) )
& subset(X1,X0)
& subset(X2,X0) )
=> ( ( ~ subset(sK2,sK3)
| ~ subset(intersection(sK2,difference(sK1,sK3)),sK3) )
& ( subset(sK2,sK3)
| subset(intersection(sK2,difference(sK1,sK3)),sK3) )
& subset(sK2,sK1)
& subset(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2] :
( ( ~ subset(X1,X2)
| ~ subset(intersection(X1,difference(X0,X2)),X2) )
& ( subset(X1,X2)
| subset(intersection(X1,difference(X0,X2)),X2) )
& subset(X1,X0)
& subset(X2,X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2] :
( ( ~ subset(X1,X2)
| ~ subset(intersection(X1,difference(X0,X2)),X2) )
& ( subset(X1,X2)
| subset(intersection(X1,difference(X0,X2)),X2) )
& subset(X1,X0)
& subset(X2,X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ( subset(intersection(X1,difference(X0,X2)),X2)
<~> subset(X1,X2) )
& subset(X1,X0)
& subset(X2,X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X1,X0,X2] :
( ( subset(intersection(X1,difference(X0,X2)),X2)
<~> subset(X1,X2) )
& subset(X2,X0)
& subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X1,X0,X2] :
( ( subset(X2,X0)
& subset(X1,X0) )
=> ( subset(X1,X2)
<=> subset(intersection(X1,difference(X0,X2)),X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X3,X0,X1] :
( ( subset(X0,X3)
& subset(X1,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),X1) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X3,X0,X1] :
( ( subset(X0,X3)
& subset(X1,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI34) ).
fof(f62,plain,
( ~ member(sK0(sK2,sK3),sK3)
| spl4_1 ),
inference(resolution,[],[f49,f40]) ).
fof(f299,plain,
( ~ member(sK0(sK2,sK3),difference(sK1,sK3))
| spl4_1
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f61,f121]) ).
fof(f121,plain,
( ! [X0] :
( ~ member(X0,difference(sK1,sK3))
| ~ member(X0,sK2) )
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f114,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ member(X1,X2)
| ~ member(X1,difference(X0,X2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f114,plain,
( ! [X0] :
( member(X0,sK3)
| ~ member(X0,difference(sK1,sK3))
| ~ member(X0,sK2) )
| ~ spl4_2 ),
inference(resolution,[],[f72,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f72,plain,
( ! [X0] :
( ~ member(X0,intersection(sK2,difference(sK1,sK3)))
| member(X0,sK3) )
| ~ spl4_2 ),
inference(resolution,[],[f54,f42]) ).
fof(f54,plain,
( subset(intersection(sK2,difference(sK1,sK3)),sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,plain,
( ~ spl4_2
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f46,f48,f52]) ).
fof(f46,plain,
( ~ subset(sK2,sK3)
| ~ subset(intersection(sK2,difference(sK1,sK3)),sK3) ),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f45,f52,f48]) ).
fof(f45,plain,
( subset(intersection(sK2,difference(sK1,sK3)),sK3)
| subset(sK2,sK3) ),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:28:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (26752)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.51 % (26768)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.51 % (26760)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.51 % (26754)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)
% 1.19/0.51 % (26763)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)
% 1.19/0.52 % (26763)Refutation not found, incomplete strategy% (26763)------------------------------
% 1.19/0.52 % (26763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.52 % (26755)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.19/0.52 % (26769)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.19/0.52 % (26763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.52 % (26763)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.52
% 1.19/0.52 % (26763)Memory used [KB]: 1407
% 1.19/0.52 % (26763)Time elapsed: 0.066 s
% 1.19/0.52 % (26763)Instructions burned: 1 (million)
% 1.19/0.52 % (26763)------------------------------
% 1.19/0.52 % (26763)------------------------------
% 1.19/0.52 % (26747)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)
% 1.19/0.52 % (26746)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)
% 1.19/0.52 % (26754)Instruction limit reached!
% 1.19/0.52 % (26754)------------------------------
% 1.19/0.52 % (26754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.52 % (26765)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.19/0.53 % (26755)Instruction limit reached!
% 1.19/0.53 % (26755)------------------------------
% 1.19/0.53 % (26755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53 % (26755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53 % (26755)Termination reason: Unknown
% 1.19/0.53 % (26755)Termination phase: Saturation
% 1.19/0.53
% 1.19/0.53 % (26755)Memory used [KB]: 6012
% 1.19/0.53 % (26755)Time elapsed: 0.072 s
% 1.19/0.53 % (26755)Instructions burned: 8 (million)
% 1.19/0.53 % (26755)------------------------------
% 1.19/0.53 % (26755)------------------------------
% 1.19/0.53 % (26747)First to succeed.
% 1.19/0.53 % (26744)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)
% 1.19/0.53 % (26747)Refutation found. Thanks to Tanya!
% 1.19/0.53 % SZS status Theorem for theBenchmark
% 1.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.53 % (26747)------------------------------
% 1.19/0.53 % (26747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53 % (26747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53 % (26747)Termination reason: Refutation
% 1.19/0.53
% 1.19/0.53 % (26747)Memory used [KB]: 6012
% 1.19/0.53 % (26747)Time elapsed: 0.080 s
% 1.19/0.53 % (26747)Instructions burned: 9 (million)
% 1.19/0.53 % (26747)------------------------------
% 1.19/0.53 % (26747)------------------------------
% 1.19/0.53 % (26739)Success in time 0.167 s
%------------------------------------------------------------------------------