TSTP Solution File: SET604+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET604+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 : n007.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 : Fri Sep 1 22:51:47 EDT 2023
% Result : Theorem 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 18 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 3 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 (; 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60,plain,
$false,
inference(unit_resulting_resolution,[],[f31,f28,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| empty_set = difference(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( empty_set = difference(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| empty_set != difference(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( empty_set = difference(X0,X1)
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.VNDbd5swri/Vampire---4.8_13952',difference_empty_set) ).
fof(f28,plain,
empty_set != difference(empty_set,sK0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
empty_set != difference(empty_set,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f13]) ).
fof(f13,plain,
( ? [X0] : empty_set != difference(empty_set,X0)
=> empty_set != difference(empty_set,sK0) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] : empty_set != difference(empty_set,X0),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] : empty_set = difference(empty_set,X0),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] : empty_set = difference(empty_set,X0),
file('/export/starexec/sandbox2/tmp/tmp.VNDbd5swri/Vampire---4.8_13952',prove_no_difference_with_empty_set) ).
fof(f31,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/tmp/tmp.VNDbd5swri/Vampire---4.8_13952',empty_set_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Aug 30 15:33:14 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.38 % (14058)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.38 % (14062)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.12/0.38 % (14060)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.12/0.38 % (14061)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.12/0.38 % (14063)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.12/0.38 % (14064)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.12/0.38 % (14065)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.12/0.38 % (14059)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [2]
% 0.12/0.38 TRYING [3]
% 0.12/0.38 % (14065)First to succeed.
% 0.12/0.38 % (14064)Also succeeded, but the first one will report.
% 0.12/0.38 TRYING [4]
% 0.12/0.38 TRYING [1]
% 0.12/0.38 % (14063)Also succeeded, but the first one will report.
% 0.12/0.38 % (14065)Refutation found. Thanks to Tanya!
% 0.12/0.38 % SZS status Theorem for Vampire---4
% 0.12/0.38 % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.38 % (14065)------------------------------
% 0.12/0.38 % (14065)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.12/0.38 % (14065)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.12/0.38 % (14065)Termination reason: Refutation
% 0.12/0.38
% 0.12/0.38 % (14065)Memory used [KB]: 895
% 0.12/0.38 % (14065)Time elapsed: 0.003 s
% 0.12/0.38 % (14065)------------------------------
% 0.12/0.38 % (14065)------------------------------
% 0.12/0.38 % (14058)Success in time 0.061 s
% 0.12/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------