TSTP Solution File: SET924+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET924+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 : n016.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 : Sat Sep 2 00:03:32 EDT 2023
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 42 ( 21 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 45 ( 20 ~; 15 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 (; 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,plain,
$false,
inference(subsumption_resolution,[],[f28,f29]) ).
fof(f29,plain,
~ in(sK0,sK1),
inference(unit_resulting_resolution,[],[f27,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( singleton(X0) = set_difference(singleton(X0),X1)
| in(X0,X1) )
& ( ~ in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.pkx331cskY/Vampire---4.8_5574',l34_zfmisc_1) ).
fof(f27,plain,
singleton(sK0) = set_difference(singleton(sK0),sK1),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f26,plain,
( singleton(sK0) = set_difference(singleton(sK0),sK1)
| singleton(sK0) = set_difference(singleton(sK0),sK1) ),
inference(resolution,[],[f21,f17]) ).
fof(f17,plain,
( ~ in(sK0,sK1)
| singleton(sK0) = set_difference(singleton(sK0),sK1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( in(sK0,sK1)
| singleton(sK0) != set_difference(singleton(sK0),sK1) )
& ( ~ in(sK0,sK1)
| singleton(sK0) = set_difference(singleton(sK0),sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f10]) ).
fof(f10,plain,
( ? [X0,X1] :
( ( in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) )
& ( ~ in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ) )
=> ( ( in(sK0,sK1)
| singleton(sK0) != set_difference(singleton(sK0),sK1) )
& ( ~ in(sK0,sK1)
| singleton(sK0) = set_difference(singleton(sK0),sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0,X1] :
( ( in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) )
& ( ~ in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<~> ~ in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<=> ~ in(X0,X1) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.pkx331cskY/Vampire---4.8_5574',t67_zfmisc_1) ).
fof(f21,plain,
! [X0,X1] :
( in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
in(sK0,sK1),
inference(unit_resulting_resolution,[],[f27,f18]) ).
fof(f18,plain,
( singleton(sK0) != set_difference(singleton(sK0),sK1)
| in(sK0,sK1) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n016.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 : Wed Aug 30 16:15:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.41 % (5817)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (5823)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)
% 0.21/0.41 % (5821)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.41 % (5822)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.41 % (5824)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.41 % (5825)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)
% 0.21/0.41 % (5826)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)
% 0.21/0.41 % (5827)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)
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 % (5827)First to succeed.
% 0.21/0.42 TRYING [4]
% 0.21/0.42 % (5825)Also succeeded, but the first one will report.
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [5]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [5]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 % (5827)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (5827)------------------------------
% 0.21/0.42 % (5827)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (5827)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (5827)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (5827)Memory used [KB]: 895
% 0.21/0.42 % (5827)Time elapsed: 0.004 s
% 0.21/0.42 % (5827)------------------------------
% 0.21/0.42 % (5827)------------------------------
% 0.21/0.42 % (5817)Success in time 0.063 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------