TSTP Solution File: SET845-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET845-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.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 : Wed Aug 31 18:22:30 EDT 2022

% Result   : Unsatisfiable 1.34s 0.56s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   16 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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;   3 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1407,plain,
    $false,
    inference(subsumption_resolution,[],[f1406,f1372]) ).

fof(f1372,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))),
    inference(unit_resulting_resolution,[],[f1361,f1367,f309]) ).

fof(f309,axiom,
    ! [X2,X15,X13] :
      ( ~ c_lessequals(X13,X15,tc_set(X2))
      | ~ c_lessequals(X15,X13,tc_set(X2))
      | X13 = X15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

fof(f1367,axiom,
    v_m != c_Zorn_Osucc(v_S,v_m,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1361,axiom,
    ! [X40,X2,X0] : c_lessequals(X0,c_Zorn_Osucc(X40,X0,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

fof(f1406,plain,
    c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))),
    inference(forward_demodulation,[],[f1402,f1366]) ).

fof(f1366,axiom,
    v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1402,plain,
    c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(unit_resulting_resolution,[],[f1375,f1360]) ).

fof(f1360,axiom,
    ! [X2,X15,X13] :
      ( c_lessequals(X15,c_Union(X13,X2),tc_set(X2))
      | ~ c_in(X15,X13,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).

fof(f1375,plain,
    c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(unit_resulting_resolution,[],[f1365,f1362]) ).

fof(f1362,axiom,
    ! [X40,X2,X0] :
      ( c_in(c_Zorn_Osucc(X40,X0,X2),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).

fof(f1365,axiom,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET845-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 14:32:48 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.50  % (3679)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51  % (3700)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.18/0.53  % (3700)Refutation not found, incomplete strategy% (3700)------------------------------
% 1.18/0.53  % (3700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.53  % (3692)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.18/0.53  % (3700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.53  % (3700)Termination reason: Refutation not found, incomplete strategy
% 1.18/0.53  % (3701)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.18/0.53  
% 1.18/0.53  % (3700)Memory used [KB]: 6908
% 1.18/0.53  % (3700)Time elapsed: 0.104 s
% 1.18/0.53  % (3700)Instructions burned: 5 (million)
% 1.18/0.53  % (3700)------------------------------
% 1.18/0.53  % (3700)------------------------------
% 1.18/0.53  % (3693)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.18/0.53  % (3689)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.18/0.53  % (3688)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.54  % (3685)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.34/0.54  % (3699)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.34/0.54  % (3699)Instruction limit reached!
% 1.34/0.54  % (3699)------------------------------
% 1.34/0.54  % (3699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54  % (3699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54  % (3699)Termination reason: Unknown
% 1.34/0.54  % (3699)Termination phase: Property scanning
% 1.34/0.54  
% 1.34/0.54  % (3699)Memory used [KB]: 2430
% 1.34/0.54  % (3699)Time elapsed: 0.006 s
% 1.34/0.54  % (3699)Instructions burned: 6 (million)
% 1.34/0.54  % (3699)------------------------------
% 1.34/0.54  % (3699)------------------------------
% 1.34/0.54  % (3681)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.34/0.55  % (3706)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.34/0.55  % (3692)Instruction limit reached!
% 1.34/0.55  % (3692)------------------------------
% 1.34/0.55  % (3692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55  % (3692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55  % (3692)Termination reason: Unknown
% 1.34/0.55  % (3692)Termination phase: SInE selection
% 1.34/0.55  
% 1.34/0.55  % (3692)Memory used [KB]: 2302
% 1.34/0.55  % (3692)Time elapsed: 0.006 s
% 1.34/0.55  % (3692)Instructions burned: 4 (million)
% 1.34/0.55  % (3692)------------------------------
% 1.34/0.55  % (3692)------------------------------
% 1.34/0.55  % (3705)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.34/0.55  % (3681)Instruction limit reached!
% 1.34/0.55  % (3681)------------------------------
% 1.34/0.55  % (3681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55  % (3681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55  % (3681)Termination reason: Unknown
% 1.34/0.55  % (3681)Termination phase: General splitting
% 1.34/0.55  
% 1.34/0.55  % (3681)Memory used [KB]: 2430
% 1.34/0.55  % (3681)Time elapsed: 0.004 s
% 1.34/0.55  % (3681)Instructions burned: 4 (million)
% 1.34/0.55  % (3681)------------------------------
% 1.34/0.55  % (3681)------------------------------
% 1.34/0.55  % (3708)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.34/0.55  % (3707)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.34/0.55  % (3684)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.34/0.55  % (3683)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.34/0.55  % (3682)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.34/0.56  % (3698)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.34/0.56  % (3689)Instruction limit reached!
% 1.34/0.56  % (3689)------------------------------
% 1.34/0.56  % (3689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56  % (3689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56  % (3689)Termination reason: Unknown
% 1.34/0.56  % (3689)Termination phase: Property scanning
% 1.34/0.56  
% 1.34/0.56  % (3689)Memory used [KB]: 2302
% 1.34/0.56  % (3689)Time elapsed: 0.006 s
% 1.34/0.56  % (3689)Instructions burned: 7 (million)
% 1.34/0.56  % (3689)------------------------------
% 1.34/0.56  % (3689)------------------------------
% 1.34/0.56  % (3701)First to succeed.
% 1.34/0.56  % (3697)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.34/0.56  % (3687)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.34/0.56  % (3698)Instruction limit reached!
% 1.34/0.56  % (3698)------------------------------
% 1.34/0.56  % (3698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56  % (3698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56  % (3698)Termination reason: Unknown
% 1.34/0.56  % (3698)Termination phase: Saturation
% 1.34/0.56  
% 1.34/0.56  % (3698)Memory used [KB]: 2686
% 1.34/0.56  % (3698)Time elapsed: 0.005 s
% 1.34/0.56  % (3698)Instructions burned: 7 (million)
% 1.34/0.56  % (3698)------------------------------
% 1.34/0.56  % (3698)------------------------------
% 1.34/0.56  % (3704)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.34/0.56  % (3691)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.34/0.56  % (3707)Also succeeded, but the first one will report.
% 1.34/0.56  % (3686)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.56  % (3703)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.34/0.56  % (3691)Instruction limit reached!
% 1.34/0.56  % (3691)------------------------------
% 1.34/0.56  % (3691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56  % (3691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56  % (3691)Termination reason: Unknown
% 1.34/0.56  % (3691)Termination phase: Saturation
% 1.34/0.56  
% 1.34/0.56  % (3691)Memory used [KB]: 7036
% 1.34/0.56  % (3691)Time elapsed: 0.005 s
% 1.34/0.56  % (3691)Instructions burned: 6 (million)
% 1.34/0.56  % (3701)Refutation found. Thanks to Tanya!
% 1.34/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.34/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.56  % (3701)------------------------------
% 1.34/0.56  % (3701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56  % (3701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56  % (3701)Termination reason: Refutation
% 1.34/0.56  
% 1.34/0.56  % (3701)Memory used [KB]: 7036
% 1.34/0.56  % (3701)Time elapsed: 0.110 s
% 1.34/0.56  % (3701)Instructions burned: 11 (million)
% 1.34/0.56  % (3701)------------------------------
% 1.34/0.56  % (3701)------------------------------
% 1.34/0.56  % (3678)Success in time 0.216 s
%------------------------------------------------------------------------------