TSTP Solution File: SET814+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET814+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : n011.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 18:22:21 EDT 2022
% Result : Theorem 1.69s 0.60s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 171 ( 59 ~; 48 |; 46 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 65 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(subsumption_resolution,[],[f95,f93]) ).
fof(f93,plain,
subset(sK0(sK2,sK3(sum(sK2),sK2)),sK2),
inference(unit_resulting_resolution,[],[f72,f90,f66]) ).
fof(f66,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ member(X0,on)
| subset(X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ( member(sK1(X0),X0)
& ~ subset(sK1(X0),X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X2] :
( ~ member(X2,X0)
| subset(X2,X0) ) )
| ~ member(X0,on) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f44,f45]) ).
fof(f45,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ~ subset(X1,X0) )
=> ( member(sK1(X0),X0)
& ~ subset(sK1(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ? [X1] :
( member(X1,X0)
& ~ subset(X1,X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X2] :
( ~ member(X2,X0)
| subset(X2,X0) ) )
| ~ member(X0,on) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ? [X1] :
( member(X1,X0)
& ~ subset(X1,X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( ~ member(X1,X0)
| subset(X1,X0) ) )
| ~ member(X0,on) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ? [X1] :
( member(X1,X0)
& ~ subset(X1,X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( ~ member(X1,X0)
| subset(X1,X0) ) )
| ~ member(X0,on) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( member(X0,on)
<=> ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( ~ member(X1,X0)
| subset(X1,X0) ) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( strict_well_order(member_predicate,X0)
& ! [X1] :
( member(X1,X0)
=> subset(X1,X0) )
& set(X0) )
<=> member(X0,on) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( member(X0,on)
<=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal_number) ).
fof(f90,plain,
member(sK0(sK2,sK3(sum(sK2),sK2)),sK2),
inference(unit_resulting_resolution,[],[f87,f61]) ).
fof(f61,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| ~ member(X1,sum(X0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( member(X1,sum(X0))
| ! [X2] :
( ~ member(X1,X2)
| ~ member(X2,X0) ) )
& ( ( member(X1,sK0(X0,X1))
& member(sK0(X0,X1),X0) )
| ~ member(X1,sum(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X3] :
( member(X1,X3)
& member(X3,X0) )
=> ( member(X1,sK0(X0,X1))
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ( member(X1,sum(X0))
| ! [X2] :
( ~ member(X1,X2)
| ~ member(X2,X0) ) )
& ( ? [X3] :
( member(X1,X3)
& member(X3,X0) )
| ~ member(X1,sum(X0)) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X0,X2)
| ~ member(X2,X1) ) )
& ( ? [X2] :
( member(X0,X2)
& member(X2,X1) )
| ~ member(X0,sum(X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( member(X0,sum(X1))
<=> ? [X2] :
( member(X0,X2)
& member(X2,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X2,X0] :
( ? [X4] :
( member(X4,X0)
& member(X2,X4) )
<=> member(X2,sum(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum) ).
fof(f87,plain,
member(sK3(sum(sK2),sK2),sum(sK2)),
inference(unit_resulting_resolution,[],[f71,f74]) ).
fof(f74,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f50,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f50,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,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,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(f71,plain,
~ subset(sum(sK2),sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( member(sK2,on)
& ~ subset(sum(sK2),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f36,f47]) ).
fof(f47,plain,
( ? [X0] :
( member(X0,on)
& ~ subset(sum(X0),X0) )
=> ( member(sK2,on)
& ~ subset(sum(sK2),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] :
( member(X0,on)
& ~ subset(sum(X0),X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X0] :
( member(X0,on)
=> subset(sum(X0),X0) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X0] :
( member(X0,on)
=> subset(sum(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thV14) ).
fof(f72,plain,
member(sK2,on),
inference(cnf_transformation,[],[f48]) ).
fof(f95,plain,
~ subset(sK0(sK2,sK3(sum(sK2),sK2)),sK2),
inference(unit_resulting_resolution,[],[f86,f91,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subset(X0,X1)
| member(X2,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f91,plain,
member(sK3(sum(sK2),sK2),sK0(sK2,sK3(sum(sK2),sK2))),
inference(unit_resulting_resolution,[],[f87,f62]) ).
fof(f62,plain,
! [X0,X1] :
( member(X1,sK0(X0,X1))
| ~ member(X1,sum(X0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f86,plain,
~ member(sK3(sum(sK2),sK2),sK2),
inference(unit_resulting_resolution,[],[f71,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET814+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:18:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (6279)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.56 % (6304)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 % (6290)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)
% 0.20/0.57 % (6296)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)
% 0.20/0.58 % (6286)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.58 % (6289)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (6296)Instruction limit reached!
% 0.20/0.58 % (6296)------------------------------
% 0.20/0.58 % (6296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (6296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (6296)Termination reason: Unknown
% 0.20/0.58 % (6296)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (6296)Memory used [KB]: 6012
% 0.20/0.58 % (6296)Time elapsed: 0.006 s
% 0.20/0.58 % (6296)Instructions burned: 2 (million)
% 0.20/0.58 % (6296)------------------------------
% 0.20/0.58 % (6296)------------------------------
% 0.20/0.59 % (6284)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)
% 0.20/0.59 % (6281)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (6283)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)
% 0.20/0.59 % (6279)Instruction limit reached!
% 0.20/0.59 % (6279)------------------------------
% 0.20/0.59 % (6279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (6279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (6279)Termination reason: Unknown
% 0.20/0.59 % (6279)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (6279)Memory used [KB]: 6268
% 0.20/0.59 % (6279)Time elapsed: 0.155 s
% 0.20/0.59 % (6279)Instructions burned: 14 (million)
% 0.20/0.59 % (6279)------------------------------
% 0.20/0.59 % (6279)------------------------------
% 0.20/0.59 % (6281)First to succeed.
% 0.20/0.59 % (6278)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.59 % (6295)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.59 % (6282)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)
% 0.20/0.59 % (6290)Instruction limit reached!
% 0.20/0.59 % (6290)------------------------------
% 0.20/0.59 % (6290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (6290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (6290)Termination reason: Unknown
% 0.20/0.59 % (6290)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (6290)Memory used [KB]: 1791
% 0.20/0.59 % (6290)Time elapsed: 0.160 s
% 0.20/0.59 % (6290)Instructions burned: 16 (million)
% 0.20/0.59 % (6290)------------------------------
% 0.20/0.59 % (6290)------------------------------
% 0.20/0.59 % (6295)Instruction limit reached!
% 0.20/0.59 % (6295)------------------------------
% 0.20/0.59 % (6295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (6295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (6295)Termination reason: Unknown
% 1.69/0.59 % (6295)Termination phase: Finite model building preprocessing
% 1.69/0.59
% 1.69/0.59 % (6295)Memory used [KB]: 1535
% 1.69/0.59 % (6295)Time elapsed: 0.005 s
% 1.69/0.59 % (6295)Instructions burned: 3 (million)
% 1.69/0.59 % (6295)------------------------------
% 1.69/0.59 % (6295)------------------------------
% 1.69/0.59 % (6289)Also succeeded, but the first one will report.
% 1.69/0.60 % (6281)Refutation found. Thanks to Tanya!
% 1.69/0.60 % SZS status Theorem for theBenchmark
% 1.69/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.60 % (6281)------------------------------
% 1.69/0.60 % (6281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (6281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (6281)Termination reason: Refutation
% 1.69/0.60
% 1.69/0.60 % (6281)Memory used [KB]: 6012
% 1.69/0.60 % (6281)Time elapsed: 0.168 s
% 1.69/0.60 % (6281)Instructions burned: 2 (million)
% 1.69/0.60 % (6281)------------------------------
% 1.69/0.60 % (6281)------------------------------
% 1.69/0.60 % (6277)Success in time 0.238 s
%------------------------------------------------------------------------------