TSTP Solution File: SET015+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET015+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 : n029.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 18:18:23 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 36 ~; 37 |; 13 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 86 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,plain,
$false,
inference(resolution,[],[f205,f32]) ).
fof(f32,plain,
~ equal_set(union(sK1,sK0),union(sK0,sK1)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
~ equal_set(union(sK1,sK0),union(sK0,sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f19,f23]) ).
fof(f23,plain,
( ? [X0,X1] : ~ equal_set(union(X1,X0),union(X0,X1))
=> ~ equal_set(union(sK1,sK0),union(sK0,sK1)) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1] : ~ equal_set(union(X1,X0),union(X0,X1)),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1] : equal_set(union(X1,X0),union(X0,X1)),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X0] : equal_set(union(X0,X1),union(X1,X0)),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X0] : equal_set(union(X0,X1),union(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI07) ).
fof(f205,plain,
! [X2,X3] : equal_set(union(X3,X2),union(X2,X3)),
inference(subsumption_resolution,[],[f204,f200]) ).
fof(f200,plain,
! [X8,X7] : subset(union(X7,X8),union(X8,X7)),
inference(duplicate_literal_removal,[],[f190]) ).
fof(f190,plain,
! [X8,X7] :
( subset(union(X7,X8),union(X8,X7))
| subset(union(X7,X8),union(X8,X7)) ),
inference(resolution,[],[f91,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ member(sK2(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f36,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f25,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1] :
( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) ),
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/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(X2,union(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X1,X0)) )
& ( member(X2,union(X1,X0))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X2,X1,X0] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X2,X1,X0] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X2,X1,X0] :
( ( member(X0,X1)
| member(X0,X2) )
<=> member(X0,union(X1,X2)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f91,plain,
! [X2,X3,X4] :
( member(sK2(union(X2,X3),union(X3,X4)),X2)
| subset(union(X2,X3),union(X3,X4)) ),
inference(duplicate_literal_removal,[],[f79]) ).
fof(f79,plain,
! [X2,X3,X4] :
( subset(union(X2,X3),union(X3,X4))
| member(sK2(union(X2,X3),union(X3,X4)),X2)
| subset(union(X2,X3),union(X3,X4)) ),
inference(resolution,[],[f45,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ member(sK2(X0,union(X1,X2)),X1)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f37,f34]) ).
fof(f37,plain,
! [X2,X0,X1] :
( member(X2,union(X1,X0))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f45,plain,
! [X2,X0,X1] :
( member(sK2(union(X0,X1),X2),X1)
| member(sK2(union(X0,X1),X2),X0)
| subset(union(X0,X1),X2) ),
inference(resolution,[],[f38,f33]) ).
fof(f33,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X1,X0))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f204,plain,
! [X2,X3] :
( ~ subset(union(X2,X3),union(X3,X2))
| equal_set(union(X3,X2),union(X2,X3)) ),
inference(resolution,[],[f200,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET015+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.14 % 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 : n029.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 13:03:27 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.57 % (17662)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)
% 0.20/0.57 % (17663)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)
% 0.20/0.57 % (17654)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)
% 0.20/0.57 % (17655)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)
% 0.20/0.58 % (17646)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)
% 0.20/0.58 % (17663)Refutation not found, incomplete strategy% (17663)------------------------------
% 0.20/0.58 % (17663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (17663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (17663)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (17663)Memory used [KB]: 1407
% 0.20/0.58 % (17663)Time elapsed: 0.084 s
% 0.20/0.58 % (17663)Instructions burned: 2 (million)
% 0.20/0.58 % (17663)------------------------------
% 0.20/0.58 % (17663)------------------------------
% 0.20/0.58 % (17646)First to succeed.
% 0.20/0.58 % (17647)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)
% 0.20/0.58 % (17654)Instruction limit reached!
% 0.20/0.58 % (17654)------------------------------
% 0.20/0.58 % (17654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (17655)Instruction limit reached!
% 0.20/0.59 % (17655)------------------------------
% 0.20/0.59 % (17655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (17655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (17655)Termination reason: Unknown
% 0.20/0.59 % (17655)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (17655)Memory used [KB]: 6012
% 0.20/0.59 % (17655)Time elapsed: 0.088 s
% 0.20/0.59 % (17655)Instructions burned: 7 (million)
% 0.20/0.59 % (17655)------------------------------
% 0.20/0.59 % (17655)------------------------------
% 0.20/0.59 % (17647)Also succeeded, but the first one will report.
% 0.20/0.59 % (17646)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Theorem for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (17646)------------------------------
% 0.20/0.59 % (17646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (17646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (17646)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (17646)Memory used [KB]: 6012
% 0.20/0.59 % (17646)Time elapsed: 0.146 s
% 0.20/0.59 % (17646)Instructions burned: 6 (million)
% 0.20/0.59 % (17646)------------------------------
% 0.20/0.59 % (17646)------------------------------
% 0.20/0.59 % (17639)Success in time 0.229 s
%------------------------------------------------------------------------------