TSTP Solution File: SET917+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n004.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 15:46:19 EDT 2023
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 40 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 7 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 (; 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,plain,
$false,
inference(subsumption_resolution,[],[f49,f35]) ).
fof(f35,plain,
sF4 != sF5,
inference(definition_folding,[],[f24,f34,f33,f33]) ).
fof(f33,plain,
singleton(sK0) = sF4,
introduced(function_definition,[]) ).
fof(f34,plain,
set_intersection2(sF4,sK1) = sF5,
introduced(function_definition,[]) ).
fof(f24,plain,
singleton(sK0) != set_intersection2(singleton(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( singleton(sK0) != set_intersection2(singleton(sK0),sK1)
& ~ disjoint(singleton(sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( singleton(X0) != set_intersection2(singleton(X0),X1)
& ~ disjoint(singleton(X0),X1) )
=> ( singleton(sK0) != set_intersection2(singleton(sK0),sK1)
& ~ disjoint(singleton(sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1] :
( singleton(X0) != set_intersection2(singleton(X0),X1)
& ~ disjoint(singleton(X0),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),X1)
| disjoint(singleton(X0),X1) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),X1)
| disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.20GkEVVFOt/Vampire---4.8_19776',t58_zfmisc_1) ).
fof(f49,plain,
sF4 = sF5,
inference(backward_demodulation,[],[f37,f48]) ).
fof(f48,plain,
sF4 = set_intersection2(sK1,sF4),
inference(forward_demodulation,[],[f47,f33]) ).
fof(f47,plain,
singleton(sK0) = set_intersection2(sK1,singleton(sK0)),
inference(resolution,[],[f29,f43]) ).
fof(f43,plain,
in(sK0,sK1),
inference(resolution,[],[f42,f36]) ).
fof(f36,plain,
~ disjoint(sF4,sK1),
inference(definition_folding,[],[f23,f33]) ).
fof(f23,plain,
~ disjoint(singleton(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f42,plain,
! [X0] :
( disjoint(sF4,X0)
| in(sK0,X0) ),
inference(superposition,[],[f27,f33]) ).
fof(f27,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.20GkEVVFOt/Vampire---4.8_19776',l28_zfmisc_1) ).
fof(f29,plain,
! [X0,X1] :
( ~ in(X0,X1)
| singleton(X0) = set_intersection2(X1,singleton(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( singleton(X0) = set_intersection2(X1,singleton(X0))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( in(X0,X1)
=> singleton(X0) = set_intersection2(X1,singleton(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.20GkEVVFOt/Vampire---4.8_19776',l32_zfmisc_1) ).
fof(f37,plain,
sF5 = set_intersection2(sK1,sF4),
inference(superposition,[],[f26,f34]) ).
fof(f26,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.20GkEVVFOt/Vampire---4.8_19776',commutativity_k3_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 12:07:37 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.20GkEVVFOt/Vampire---4.8_19776
% 0.14/0.37 % (19919)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (19926)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)
% 0.22/0.42 % (19926)First to succeed.
% 0.22/0.42 % (19926)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42 % (19926)------------------------------
% 0.22/0.42 % (19926)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (19926)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (19926)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (19926)Memory used [KB]: 895
% 0.22/0.42 % (19926)Time elapsed: 0.003 s
% 0.22/0.42 % (19926)------------------------------
% 0.22/0.42 % (19926)------------------------------
% 0.22/0.42 % (19919)Success in time 0.053 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------