TSTP Solution File: SET858-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET858-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 09:08:52 EDT 2024
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 122 ( 3 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 142 ( 54 ~; 86 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f131,plain,
$false,
inference(avatar_sat_refutation,[],[f92,f100,f129]) ).
fof(f129,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f128,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f127,f90]) ).
fof(f90,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| spl0_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_2
<=> c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f127,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f124,f4]) ).
fof(f4,axiom,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_conjecture_3) ).
fof(f124,plain,
( c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_1 ),
inference(resolution,[],[f87,f1]) ).
fof(f1,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_conjecture_0) ).
fof(f87,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_1
<=> ! [X0] :
( c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f100,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f99,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f96,f3]) ).
fof(f3,axiom,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_conjecture_2) ).
fof(f96,plain,
( c_lessequals(v_n,v_m,tc_set(tc_set(t_a)))
| ~ spl0_2 ),
inference(resolution,[],[f91,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X3,X0,X2),X1,tc_set(tc_set(X2)))
| c_lessequals(X0,X1,tc_set(tc_set(X2))) ),
inference(resolution,[],[f5,f6]) ).
fof(f6,axiom,
! [X2,X4,X5] : c_lessequals(X4,c_Zorn_Osucc(X5,X4,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_Zorn_OAbrial__axiom1_0) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X0,tc_set(X2))
| c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_Set_Osubset__trans_0) ).
fof(f91,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f84,f89,f86]) ).
fof(f84,plain,
! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f79,f2]) ).
fof(f2,axiom,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_conjecture_1) ).
fof(f79,plain,
! [X0] :
( ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f76,f4]) ).
fof(f76,plain,
! [X0,X1] :
( c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(X1,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),X1,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f59,f1]) ).
fof(f59,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(X0,X1,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X0,tc_set(tc_set(X2)))
| c_lessequals(X4,X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X4,tc_set(tc_set(X2)))
| ~ c_in(X4,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f58,f10]) ).
fof(f10,axiom,
! [X2,X6,X7,X5] :
( ~ c_lessequals(c_Zorn_Osucc(X5,c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),X2),X6,tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_Zorn_OTFin__linear__lemma1_3) ).
fof(f58,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2),X2),X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X0,tc_set(tc_set(X2)))
| c_lessequals(X4,X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X4,tc_set(tc_set(X2)))
| ~ c_in(X4,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))) ),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f57,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2),X2),X1,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X0,tc_set(tc_set(X2)))
| c_lessequals(X4,X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X4,tc_set(tc_set(X2)))
| ~ c_in(X4,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f24,f7]) ).
fof(f7,axiom,
! [X2,X6,X7,X5] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_Zorn_OTFin__linear__lemma1_0) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X4,c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X2),X1,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f21,f9]) ).
fof(f9,axiom,
! [X2,X6,X7,X5] :
( c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2) != X6
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_Zorn_OTFin__linear__lemma1_2) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X4,c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X2),X1,tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2) = X1
| ~ c_in(X1,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f8,f11]) ).
fof(f11,axiom,
! [X2,X8,X6,X5] :
( ~ c_lessequals(X8,X6,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X8,X2),X6,tc_set(tc_set(X2)))
| X6 = X8
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X8,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_Zorn_OTFin__linear__lemma2_0) ).
fof(f8,axiom,
! [X2,X6,X7,X5] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X5,X6,X2),X6,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X5,X6,X2),X7,tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2)))
| ~ c_in(X7,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X6,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456',cls_Zorn_OTFin__linear__lemma1_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 16:55:22 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.10/0.30 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.XciEMKuvfk/Vampire---4.8_18456
% 0.56/0.74 % (18568)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.56/0.74 % (18569)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.56/0.74 % (18567)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.74 % (18565)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 (2995ds/34Mi)
% 0.56/0.74 % (18566)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 (2995ds/51Mi)
% 0.56/0.74 % (18572)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.56/0.74 % (18571)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 (2995ds/83Mi)
% 0.56/0.74 % (18568)Refutation not found, incomplete strategy% (18568)------------------------------
% 0.56/0.74 % (18568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (18568)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (18568)Memory used [KB]: 950
% 0.56/0.74 % (18568)Time elapsed: 0.002 s
% 0.56/0.74 % (18568)Instructions burned: 2 (million)
% 0.56/0.74 % (18568)------------------------------
% 0.56/0.74 % (18568)------------------------------
% 0.56/0.74 % (18570)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.56/0.74 % (18573)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.56/0.75 % (18567)First to succeed.
% 0.56/0.75 % (18567)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18564"
% 0.56/0.75 % (18567)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (18567)------------------------------
% 0.56/0.75 % (18567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (18567)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (18567)Memory used [KB]: 1145
% 0.56/0.75 % (18567)Time elapsed: 0.012 s
% 0.56/0.75 % (18567)Instructions burned: 20 (million)
% 0.56/0.75 % (18564)Success in time 0.441 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------