TSTP Solution File: SET855-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET855-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Sun May 5 09:08:51 EDT 2024
% Result : Unsatisfiable 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 72 ( 3 equ)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 15 ( 8 ~; 6 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 53 ( 53 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 13 ( 12 !; 0 ?; 13 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f17,plain,
$false,
inference(subsumption_resolution,[],[f16,f6]) ).
tff(f6,plain,
~ sQ0_eqProxy($i,v_n,c_Union(v_Y,tc_set(t_a))),
inference(equality_proxy_replacement,[],[f4,f5]) ).
tff(f5,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f4,axiom,
v_n != c_Union(v_Y,tc_set(t_a)),
file('/export/starexec/sandbox2/tmp/tmp.e4CJ3JcAXa/Vampire---4.8_22292',cls_conjecture_4) ).
tff(f16,plain,
sQ0_eqProxy($i,v_n,c_Union(v_Y,tc_set(t_a))),
inference(forward_literal_rewriting,[],[f15,f9]) ).
tff(f9,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f5]) ).
tff(f15,plain,
sQ0_eqProxy($i,c_Union(v_Y,tc_set(t_a)),v_n),
inference(subsumption_resolution,[],[f12,f3]) ).
tff(f3,axiom,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.e4CJ3JcAXa/Vampire---4.8_22292',cls_conjecture_3) ).
tff(f12,plain,
( sQ0_eqProxy($i,c_Union(v_Y,tc_set(t_a)),v_n)
| ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f7,f2]) ).
tff(f2,axiom,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.e4CJ3JcAXa/Vampire---4.8_22292',cls_conjecture_2) ).
tff(f7,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| sQ0_eqProxy($i,X0,X1)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(equality_proxy_replacement,[],[f1,f5]) ).
tff(f1,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.e4CJ3JcAXa/Vampire---4.8_22292',cls_Set_Osubset__antisym_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET855-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n024.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 16:38:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.e4CJ3JcAXa/Vampire---4.8_22292
% 0.54/0.75 % (22401)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.75 % (22404)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.75 % (22403)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75 % (22406)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.75 % (22407)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.54/0.75 % (22402)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.75 % (22401)First to succeed.
% 0.54/0.75 % (22404)Also succeeded, but the first one will report.
% 0.54/0.75 % (22401)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22400"
% 0.54/0.75 % (22403)Also succeeded, but the first one will report.
% 0.54/0.75 % (22406)Also succeeded, but the first one will report.
% 0.54/0.75 % (22407)Also succeeded, but the first one will report.
% 0.54/0.75 % (22402)Also succeeded, but the first one will report.
% 0.54/0.75 % (22401)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.54/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75 % (22401)------------------------------
% 0.54/0.75 % (22401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (22401)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (22401)Memory used [KB]: 971
% 0.54/0.75 % (22401)Time elapsed: 0.002 s
% 0.54/0.75 % (22401)Instructions burned: 2 (million)
% 0.54/0.75 % (22400)Success in time 0.379 s
% 0.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------