TSTP Solution File: SET841-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET841-2 : 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 : 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 : Thu Aug 31 15:45:55 EDT 2023
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 24 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 6 (; 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,plain,
$false,
inference(resolution,[],[f16,f1]) ).
fof(f1,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/tmp/tmp.f4ZMbN6sFR/Vampire---4.8_24338',cls_Set_Osubset__refl_0) ).
fof(f16,plain,
~ c_lessequals(v_m,v_m,tc_set(tc_set(t_a))),
inference(forward_demodulation,[],[f13,f4]) ).
fof(f4,axiom,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/tmp/tmp.f4ZMbN6sFR/Vampire---4.8_24338',cls_conjecture_1) ).
fof(f13,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))),
inference(superposition,[],[f7,f12]) ).
fof(f12,plain,
v_m = v_x,
inference(resolution,[],[f11,f6]) ).
fof(f6,axiom,
c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.f4ZMbN6sFR/Vampire---4.8_24338',cls_conjecture_3) ).
fof(f11,plain,
( ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| v_m = v_x ),
inference(resolution,[],[f10,f3]) ).
fof(f3,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.f4ZMbN6sFR/Vampire---4.8_24338',cls_conjecture_0) ).
fof(f10,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| v_m = v_x ),
inference(resolution,[],[f8,f5]) ).
fof(f5,axiom,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.f4ZMbN6sFR/Vampire---4.8_24338',cls_conjecture_2) ).
fof(f8,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| v_m = v_x ),
inference(resolution,[],[f2,f7]) ).
fof(f2,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_Zorn_Osucc(X3,X2,X1),X4,tc_set(tc_set(X1)))
| ~ c_lessequals(X2,X4,tc_set(tc_set(X1)))
| ~ c_in(X4,c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1)))
| X2 = X4 ),
file('/export/starexec/sandbox2/tmp/tmp.f4ZMbN6sFR/Vampire---4.8_24338',cls_Zorn_OTFin__subsetD_0) ).
fof(f7,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.f4ZMbN6sFR/Vampire---4.8_24338',cls_conjecture_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n024.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 : Sat Aug 26 10:03:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.f4ZMbN6sFR/Vampire---4.8_24338
% 0.14/0.36 % (24450)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (24454)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.42 % (24452)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.42 % (24455)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.42 % (24456)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.42 % (24451)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.42 % (24457)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)
% 0.21/0.42 % (24455)Refutation not found, incomplete strategy% (24455)------------------------------
% 0.21/0.42 % (24455)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (24455)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (24455)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (24455)Memory used [KB]: 895
% 0.21/0.42 % (24455)Time elapsed: 0.003 s
% 0.21/0.42 % (24455)------------------------------
% 0.21/0.42 % (24455)------------------------------
% 0.21/0.42 % (24456)First to succeed.
% 0.21/0.42 % (24454)Also succeeded, but the first one will report.
% 0.21/0.42 % (24453)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.42 % (24452)Also succeeded, but the first one will report.
% 0.21/0.42 % (24456)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (24456)------------------------------
% 0.21/0.42 % (24456)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (24456)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (24456)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (24456)Memory used [KB]: 895
% 0.21/0.42 % (24456)Time elapsed: 0.003 s
% 0.21/0.42 % (24456)------------------------------
% 0.21/0.42 % (24456)------------------------------
% 0.21/0.42 % (24450)Success in time 0.06 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------