TSTP Solution File: SET846-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET846-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Tue May 21 03:24:20 EDT 2024
% Result : Unsatisfiable 0.16s 0.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,plain,
$false,
inference(resolution,[],[f10,f5]) ).
fof(f5,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f10,plain,
! [X0,X1] : c_lessequals(c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),tc_set(tc_set(X1))),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
fof(f7,plain,
! [X0,X1] : c_in(c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X2,X3,X4] :
( ~ c_in(X3,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X4,X3,X2),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
fof(f6,plain,
! [X0,X1] : c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
inference(resolution,[],[f4,f2]) ).
fof(f2,axiom,
! [X2,X1] : c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f4,axiom,
! [X2,X4,X5] :
( ~ c_lessequals(X5,c_Zorn_OTFin(X4,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X5,tc_set(X2)),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SET846-2 : TPTP v8.2.0. Released v3.2.0.
% 0.14/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.38 % Computer : n015.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon May 20 13:13:08 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % (31394)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40 % (31397)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.40 % (31396)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.40 % (31395)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.40 % (31398)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.40 % (31399)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.40 % (31400)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.40 % (31401)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.40 % (31399)First to succeed.
% 0.16/0.40 % (31397)Also succeeded, but the first one will report.
% 0.16/0.40 % (31400)Also succeeded, but the first one will report.
% 0.16/0.40 % (31399)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31394"
% 0.16/0.40 TRYING [1]
% 0.16/0.40 Detected minimum model sizes of [1,1]
% 0.16/0.40 Detected minimum model sizes of [1,1]
% 0.16/0.40 Detected maximum model sizes of [max,1]
% 0.16/0.40 Detected maximum model sizes of [max,1]
% 0.16/0.40 TRYING [1,1]
% 0.16/0.40 TRYING [1,1]
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [2,1]
% 0.16/0.40 TRYING [2,1]
% 0.16/0.40 % (31399)Refutation found. Thanks to Tanya!
% 0.16/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40 % (31399)------------------------------
% 0.16/0.40 % (31399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (31399)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (31399)Memory used [KB]: 744
% 0.16/0.40 % (31399)Time elapsed: 0.003 s
% 0.16/0.40 % (31399)Instructions burned: 2 (million)
% 0.16/0.40 % (31394)Success in time 0.007 s
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