TSTP Solution File: SET014+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET014+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n026.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 : Thu Aug 31 15:34:07 EDT 2023
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 94 ( 33 ~; 29 |; 24 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 (; 46 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(resolution,[],[f130,f25]) ).
fof(f25,plain,
~ subset(union(sK0,sK2),sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( ~ subset(union(sK0,sK2),sK1)
& subset(sK2,sK1)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f11]) ).
fof(f11,plain,
( ? [X0,X1,X2] :
( ~ subset(union(X0,X2),X1)
& subset(X2,X1)
& subset(X0,X1) )
=> ( ~ subset(union(sK0,sK2),sK1)
& subset(sK2,sK1)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0,X1,X2] :
( ~ subset(union(X0,X2),X1)
& subset(X2,X1)
& subset(X0,X1) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
? [X0,X1,X2] :
( ~ subset(union(X0,X2),X1)
& subset(X2,X1)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(union(X0,X2),X1) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(union(X0,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.vdDlzrosGF/Vampire---4.8_24848',prove_union_subset) ).
fof(f130,plain,
subset(union(sK0,sK2),sK1),
inference(resolution,[],[f128,f51]) ).
fof(f51,plain,
! [X0] :
( ~ member(sK4(X0,sK1),sK0)
| subset(X0,sK1) ),
inference(resolution,[],[f47,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f18,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,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vdDlzrosGF/Vampire---4.8_24848',subset_defn) ).
fof(f47,plain,
! [X0] :
( member(X0,sK1)
| ~ member(X0,sK0) ),
inference(resolution,[],[f32,f23]) ).
fof(f23,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f32,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f128,plain,
member(sK4(union(sK0,sK2),sK1),sK0),
inference(resolution,[],[f125,f25]) ).
fof(f125,plain,
( subset(union(sK0,sK2),sK1)
| member(sK4(union(sK0,sK2),sK1),sK0) ),
inference(resolution,[],[f55,f52]) ).
fof(f52,plain,
! [X0] :
( ~ member(sK4(X0,sK1),sK2)
| subset(X0,sK1) ),
inference(resolution,[],[f48,f34]) ).
fof(f48,plain,
! [X1] :
( member(X1,sK1)
| ~ member(X1,sK2) ),
inference(resolution,[],[f32,f24]) ).
fof(f24,plain,
subset(sK2,sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f55,plain,
( member(sK4(union(sK0,sK2),sK1),sK2)
| member(sK4(union(sK0,sK2),sK1),sK0) ),
inference(resolution,[],[f35,f40]) ).
fof(f40,plain,
member(sK4(union(sK0,sK2),sK1),union(sK0,sK2)),
inference(resolution,[],[f33,f25]) ).
fof(f33,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vdDlzrosGF/Vampire---4.8_24848',union_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET014+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat Aug 26 12:41:33 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.vdDlzrosGF/Vampire---4.8_24848
% 0.16/0.37 % (24956)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (24964)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.43 % (24957)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.23/0.43 % (24961)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.23/0.43 % (24958)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.23/0.43 % (24962)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.23/0.43 % (24960)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.23/0.43 % (24961)First to succeed.
% 0.23/0.44 % (24961)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (24961)------------------------------
% 0.23/0.44 % (24961)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (24961)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (24961)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (24961)Memory used [KB]: 1023
% 0.23/0.44 % (24961)Time elapsed: 0.007 s
% 0.23/0.44 % (24961)------------------------------
% 0.23/0.44 % (24961)------------------------------
% 0.23/0.44 % (24956)Success in time 0.064 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------