TSTP Solution File: SET014+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET014+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 : 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 18:23:05 EDT 2022
% Result : Theorem 1.43s 0.54s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 11 unt; 0 def)
% Number of atoms : 128 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 126 ( 46 ~; 39 |; 27 &)
% ( 7 <=>; 7 =>; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 62 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105,plain,
$false,
inference(avatar_sat_refutation,[],[f83,f87,f104]) ).
fof(f104,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f101,f45]) ).
fof(f45,plain,
~ subset(union(sK3,sK4),sK2),
inference(backward_demodulation,[],[f41,f32]) ).
fof(f32,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f41,plain,
~ subset(union(sK4,sK3),sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( subset(sK3,sK2)
& ~ subset(union(sK4,sK3),sK2)
& subset(sK4,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f12,f26]) ).
fof(f26,plain,
( ? [X0,X1,X2] :
( subset(X1,X0)
& ~ subset(union(X2,X1),X0)
& subset(X2,X0) )
=> ( subset(sK3,sK2)
& ~ subset(union(sK4,sK3),sK2)
& subset(sK4,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1,X2] :
( subset(X1,X0)
& ~ subset(union(X2,X1),X0)
& subset(X2,X0) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
? [X0,X2,X1] :
( ~ subset(union(X2,X1),X0)
& subset(X2,X0)
& subset(X1,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X2,X1] :
( ( subset(X2,X0)
& subset(X1,X0) )
=> subset(union(X2,X1),X0) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X1,X2,X0] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(union(X0,X2),X1) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X1,X2,X0] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(union(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_subset) ).
fof(f101,plain,
( subset(union(sK3,sK4),sK2)
| ~ spl5_1 ),
inference(resolution,[],[f88,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f88,plain,
( member(sK1(union(sK3,sK4),sK2),sK2)
| ~ spl5_1 ),
inference(resolution,[],[f78,f54]) ).
fof(f54,plain,
! [X1] :
( ~ member(X1,sK3)
| member(X1,sK2) ),
inference(resolution,[],[f36,f42]) ).
fof(f42,plain,
subset(sK3,sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f36,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f78,plain,
( member(sK1(union(sK3,sK4),sK2),sK3)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl5_1
<=> member(sK1(union(sK3,sK4),sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f87,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f85,f45]) ).
fof(f85,plain,
( subset(union(sK3,sK4),sK2)
| ~ spl5_2 ),
inference(resolution,[],[f84,f38]) ).
fof(f84,plain,
( member(sK1(union(sK3,sK4),sK2),sK2)
| ~ spl5_2 ),
inference(resolution,[],[f82,f53]) ).
fof(f53,plain,
! [X0] :
( ~ member(X0,sK4)
| member(X0,sK2) ),
inference(resolution,[],[f36,f40]) ).
fof(f40,plain,
subset(sK4,sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f82,plain,
( member(sK1(union(sK3,sK4),sK2),sK4)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl5_2
<=> member(sK1(union(sK3,sK4),sK2),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f83,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f74,f80,f76]) ).
fof(f74,plain,
( member(sK1(union(sK3,sK4),sK2),sK4)
| member(sK1(union(sK3,sK4),sK2),sK3) ),
inference(resolution,[],[f50,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X1,X0))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X2,union(X1,X0))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X1,X0)) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] :
( ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X1,X2,X0] :
( ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X2,X0] :
( member(X0,union(X2,X1))
<=> ( member(X0,X2)
| member(X0,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X1,X0] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f50,plain,
member(sK1(union(sK3,sK4),sK2),union(sK3,sK4)),
inference(resolution,[],[f37,f45]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET014+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 : n003.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 12:52:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.50 % (25483)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.51 % (25505)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (25492)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (25490)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (25482)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (25497)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (25479)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (25479)Refutation not found, incomplete strategy% (25479)------------------------------
% 0.21/0.52 % (25479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (25479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (25479)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (25479)Memory used [KB]: 5373
% 0.21/0.52 % (25479)Time elapsed: 0.123 s
% 0.21/0.52 % (25479)Instructions burned: 1 (million)
% 0.21/0.52 % (25479)------------------------------
% 0.21/0.52 % (25479)------------------------------
% 0.21/0.52 % (25508)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.52 % (25494)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.52 % (25498)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (25489)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (25506)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.53 % (25485)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (25500)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53 % (25484)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (25478)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (25481)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 TRYING [3]
% 0.21/0.53 TRYING [4]
% 0.21/0.53 % (25504)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53 % (25491)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (25500)First to succeed.
% 0.21/0.53 % (25507)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.43/0.54 % (25496)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.43/0.54 TRYING [1]
% 1.43/0.54 % (25502)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.43/0.54 % (25500)Refutation found. Thanks to Tanya!
% 1.43/0.54 % SZS status Theorem for theBenchmark
% 1.43/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.54 % (25500)------------------------------
% 1.43/0.54 % (25500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (25500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (25500)Termination reason: Refutation
% 1.43/0.54
% 1.43/0.54 % (25500)Memory used [KB]: 5500
% 1.43/0.54 % (25500)Time elapsed: 0.134 s
% 1.43/0.54 % (25500)Instructions burned: 5 (million)
% 1.43/0.54 % (25500)------------------------------
% 1.43/0.54 % (25500)------------------------------
% 1.43/0.54 % (25475)Success in time 0.186 s
%------------------------------------------------------------------------------