TSTP Solution File: SWV242-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV242-1 : 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 : n019.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 18:44:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  13   ~;  13   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1488,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1401,f1457,f1487]) ).

fof(f1487,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f1486]) ).

fof(f1486,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1478,f1387]) ).

fof(f1387,axiom,
    ! [X1,X12,X13] : c_lessequals(X12,c_union(X12,X13,X1),tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).

fof(f1478,plain,
    ( ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f1463,f1372]) ).

fof(f1372,axiom,
    ! [X55,X20] :
      ( c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X55),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X20,X55,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).

fof(f1463,plain,
    ( ~ c_lessequals(c_Message_Oanalz(v_G_H),c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f1390,f1400,f1389]) ).

fof(f1389,axiom,
    ! [X1,X12,X32,X13] :
      ( ~ c_lessequals(X13,X32,tc_set(X1))
      | ~ c_lessequals(X12,X13,tc_set(X1))
      | c_lessequals(X12,X32,tc_set(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

fof(f1400,plain,
    ( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1398,plain,
    ( spl0_2
  <=> c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1390,axiom,
    c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1457,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f1456]) ).

fof(f1456,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1449,f1388]) ).

fof(f1388,axiom,
    ! [X1,X12,X13] : c_lessequals(X13,c_union(X12,X13,X1),tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).

fof(f1449,plain,
    ( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f1412,f1372]) ).

fof(f1412,plain,
    ( ~ c_lessequals(c_Message_Oanalz(v_H_H),c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f1391,f1396,f1389]) ).

fof(f1396,plain,
    ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f1394]) ).

fof(f1394,plain,
    ( spl0_1
  <=> c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1391,axiom,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1401,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1392,f1398,f1394]) ).

fof(f1392,axiom,
    ( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV242-1 : 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
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 19:11:35 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.52  % (26981)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)
% 0.20/0.53  % (26998)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)
% 0.20/0.54  % (26974)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)
% 0.20/0.54  % (26991)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)
% 0.20/0.54  % (26981)Instruction limit reached!
% 0.20/0.54  % (26981)------------------------------
% 0.20/0.54  % (26981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (26981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (26981)Termination reason: Unknown
% 0.20/0.54  % (26981)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (26981)Memory used [KB]: 2302
% 0.20/0.54  % (26981)Time elapsed: 0.007 s
% 0.20/0.54  % (26981)Instructions burned: 6 (million)
% 0.20/0.54  % (26981)------------------------------
% 0.20/0.54  % (26981)------------------------------
% 0.20/0.55  % (26991)Instruction limit reached!
% 0.20/0.55  % (26991)------------------------------
% 0.20/0.55  % (26991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (26991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (26991)Termination reason: Unknown
% 0.20/0.55  % (26991)Termination phase: Unused predicate definition removal
% 0.20/0.55  
% 0.20/0.55  % (26991)Memory used [KB]: 2430
% 0.20/0.55  % (26991)Time elapsed: 0.007 s
% 0.20/0.55  % (26991)Instructions burned: 6 (million)
% 0.20/0.55  % (26991)------------------------------
% 0.20/0.55  % (26991)------------------------------
% 0.20/0.55  % (26977)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)
% 0.20/0.55  % (26998)Refutation not found, incomplete strategy% (26998)------------------------------
% 0.20/0.55  % (26998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (26998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (26998)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (26998)Memory used [KB]: 2430
% 0.20/0.55  % (26998)Time elapsed: 0.117 s
% 0.20/0.55  % (26998)Instructions burned: 8 (million)
% 0.20/0.55  % (26998)------------------------------
% 0.20/0.55  % (26998)------------------------------
% 0.20/0.55  % (26993)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)
% 0.20/0.55  % (26982)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.56  % (26976)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56  % (26985)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)
% 0.20/0.56  % (26996)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)
% 0.20/0.56  % (26995)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)
% 0.20/0.56  % (26990)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)
% 0.20/0.56  % (26975)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)
% 0.20/0.56  % (26972)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.56  % (26971)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.56  % (26973)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)
% 0.20/0.57  % (27000)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)
% 0.20/0.57  % (26973)Instruction limit reached!
% 0.20/0.57  % (26973)------------------------------
% 0.20/0.57  % (26973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (26973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (26973)Termination reason: Unknown
% 0.20/0.57  % (26973)Termination phase: General splitting
% 0.20/0.57  
% 0.20/0.57  % (26973)Memory used [KB]: 2430
% 0.20/0.57  % (26973)Time elapsed: 0.004 s
% 0.20/0.57  % (26973)Instructions burned: 4 (million)
% 0.20/0.57  % (26973)------------------------------
% 0.20/0.57  % (26973)------------------------------
% 0.20/0.57  % (26990)Instruction limit reached!
% 0.20/0.57  % (26990)------------------------------
% 0.20/0.57  % (26990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (26975)First to succeed.
% 0.20/0.57  % (26999)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)
% 0.20/0.57  % (26988)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.57  % (26990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (26990)Termination reason: Unknown
% 0.20/0.57  % (26990)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (26990)Memory used [KB]: 2686
% 0.20/0.57  % (26990)Time elapsed: 0.009 s
% 0.20/0.57  % (26990)Instructions burned: 7 (million)
% 0.20/0.57  % (26990)------------------------------
% 0.20/0.57  % (26990)------------------------------
% 0.20/0.57  % (26987)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (26987)Instruction limit reached!
% 0.20/0.57  % (26987)------------------------------
% 0.20/0.57  % (26987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (26987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (26987)Termination reason: Unknown
% 0.20/0.57  % (26987)Termination phase: shuffling
% 0.20/0.57  
% 0.20/0.57  % (26987)Memory used [KB]: 2174
% 0.20/0.57  % (26987)Time elapsed: 0.002 s
% 0.20/0.57  % (26987)Instructions burned: 2 (million)
% 0.20/0.57  % (26987)------------------------------
% 0.20/0.57  % (26987)------------------------------
% 0.20/0.57  % (26974)Also succeeded, but the first one will report.
% 0.20/0.57  % (26992)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)
% 0.20/0.58  % (26980)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)
% 0.20/0.58  % (26975)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (26975)------------------------------
% 0.20/0.58  % (26975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (26975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (26975)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (26975)Memory used [KB]: 7036
% 0.20/0.58  % (26975)Time elapsed: 0.138 s
% 0.20/0.58  % (26975)Instructions burned: 9 (million)
% 0.20/0.58  % (26975)------------------------------
% 0.20/0.58  % (26975)------------------------------
% 0.20/0.58  % (26970)Success in time 0.225 s
%------------------------------------------------------------------------------