TSTP Solution File: SET821-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET821-1 : 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 18:22:23 EDT 2022

% Result   : Unsatisfiable 1.10s 0.71s
% Output   : Refutation 1.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   40 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  13   ~;  16   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1440,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1421,f1439]) ).

fof(f1439,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f1438]) ).

fof(f1438,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1437,f352]) ).

fof(f352,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).

fof(f1437,plain,
    ( ~ class_Orderings_Oorder(tc_IntDef_Oint)
    | spl0_2 ),
    inference(resolution,[],[f1436,f123]) ).

fof(f123,axiom,
    ! [X2,X0] :
      ( ~ c_less(X0,X0,X2)
      | ~ class_Orderings_Oorder(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).

fof(f1436,plain,
    ( c_less(v_b,v_b,tc_IntDef_Oint)
    | spl0_2 ),
    inference(superposition,[],[f1359,f1422]) ).

fof(f1422,plain,
    ( v_b = v_c
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1395,f1388]) ).

fof(f1388,plain,
    ( ~ c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f1387,plain,
    ( spl0_2
  <=> c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1395,plain,
    ( v_b = v_c
    | c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(resolution,[],[f1363,f303]) ).

fof(f303,axiom,
    ! [X2,X6,X4] :
      ( ~ c_in(X6,c_insert(X4,c_emptyset,X2),X2)
      | X4 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).

fof(f1363,plain,
    ! [X0] :
      ( c_in(v_c,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_in(v_a,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(resolution,[],[f1360,f176]) ).

fof(f176,axiom,
    ! [X2,X0,X15] : c_in(X0,c_insert(X0,X15,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f1360,axiom,
    ! [X41] :
      ( ~ c_in(v_b,X41,tc_IntDef_Oint)
      | c_in(v_a,X41,tc_IntDef_Oint)
      | c_in(v_c,X41,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1359,axiom,
    c_less(v_b,v_c,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1421,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f1420]) ).

fof(f1420,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1419,f352]) ).

fof(f1419,plain,
    ( ~ class_Orderings_Oorder(tc_IntDef_Oint)
    | ~ spl0_2 ),
    inference(resolution,[],[f1414,f123]) ).

fof(f1414,plain,
    ( c_less(v_a,v_a,tc_IntDef_Oint)
    | ~ spl0_2 ),
    inference(superposition,[],[f1358,f1391]) ).

fof(f1391,plain,
    ( v_a = v_b
    | ~ spl0_2 ),
    inference(resolution,[],[f1389,f303]) ).

fof(f1389,plain,
    ( c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f1358,axiom,
    c_less(v_a,v_b,tc_IntDef_Oint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET821-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:38:33 EDT 2022
% 0.12/0.34  % CPUTime    : 
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% 0.19/0.50  ipcrm: permission denied for id (573636730)
% 0.19/0.50  ipcrm: permission denied for id (575996027)
% 0.19/0.51  ipcrm: permission denied for id (573669500)
% 0.19/0.51  ipcrm: permission denied for id (573702269)
% 0.19/0.51  ipcrm: permission denied for id (576028798)
% 0.19/0.51  ipcrm: permission denied for id (573767807)
% 1.10/0.67  % (23619)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 (2998ds/51Mi)
% 1.10/0.68  % (23620)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 (2998ds/6Mi)
% 1.10/0.68  % (23629)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 (2998ds/28Mi)
% 1.10/0.70  % (23612)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 (2998ds/4Mi)
% 1.10/0.70  % (23637)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 (2998ds/71Mi)
% 1.10/0.70  % (23620)Instruction limit reached!
% 1.10/0.70  % (23620)------------------------------
% 1.10/0.70  % (23620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.10/0.70  % (23620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.10/0.70  % (23620)Termination reason: Unknown
% 1.10/0.70  % (23620)Termination phase: Property scanning
% 1.10/0.70  
% 1.10/0.70  % (23620)Memory used [KB]: 2174
% 1.10/0.70  % (23620)Time elapsed: 0.007 s
% 1.10/0.70  % (23620)Instructions burned: 6 (million)
% 1.10/0.70  % (23620)------------------------------
% 1.10/0.70  % (23620)------------------------------
% 1.10/0.70  % (23612)Instruction limit reached!
% 1.10/0.70  % (23612)------------------------------
% 1.10/0.70  % (23612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.10/0.70  % (23612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.10/0.70  % (23612)Termination reason: Unknown
% 1.10/0.70  % (23612)Termination phase: Equality proxy
% 1.10/0.70  
% 1.10/0.70  % (23612)Memory used [KB]: 2430
% 1.10/0.70  % (23612)Time elapsed: 0.005 s
% 1.10/0.70  % (23612)Instructions burned: 6 (million)
% 1.10/0.70  % (23612)------------------------------
% 1.10/0.70  % (23612)------------------------------
% 1.10/0.70  % (23636)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 (2998ds/81Mi)
% 1.10/0.70  % (23618)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 (2998ds/3Mi)
% 1.10/0.71  % (23628)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 1.10/0.71  % (23614)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 (2998ds/34Mi)
% 1.10/0.71  % (23633)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 (2998ds/97Mi)
% 1.10/0.71  % (23637)Refutation not found, incomplete strategy% (23637)------------------------------
% 1.10/0.71  % (23637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.10/0.71  % (23637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.10/0.71  % (23637)Termination reason: Refutation not found, incomplete strategy
% 1.10/0.71  
% 1.10/0.71  % (23637)Memory used [KB]: 6780
% 1.10/0.71  % (23637)Time elapsed: 0.124 s
% 1.10/0.71  % (23637)Instructions burned: 8 (million)
% 1.10/0.71  % (23637)------------------------------
% 1.10/0.71  % (23637)------------------------------
% 1.10/0.71  % (23614)Refutation not found, incomplete strategy% (23614)------------------------------
% 1.10/0.71  % (23614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.10/0.71  % (23614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.10/0.71  % (23614)Termination reason: Refutation not found, incomplete strategy
% 1.10/0.71  
% 1.10/0.71  % (23614)Memory used [KB]: 6780
% 1.10/0.71  % (23614)Time elapsed: 0.121 s
% 1.10/0.71  % (23614)Instructions burned: 5 (million)
% 1.10/0.71  % (23614)------------------------------
% 1.10/0.71  % (23614)------------------------------
% 1.10/0.71  % (23628)Instruction limit reached!
% 1.10/0.71  % (23628)------------------------------
% 1.10/0.71  % (23628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.10/0.71  % (23628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.10/0.71  % (23628)Termination reason: Unknown
% 1.10/0.71  % (23628)Termination phase: Saturation
% 1.10/0.71  
% 1.10/0.71  % (23628)Memory used [KB]: 7036
% 1.10/0.71  % (23628)Time elapsed: 0.007 s
% 1.10/0.71  % (23628)Instructions burned: 8 (million)
% 1.10/0.71  % (23628)------------------------------
% 1.10/0.71  % (23628)------------------------------
% 1.10/0.71  % (23629)Refutation not found, incomplete strategy% (23629)------------------------------
% 1.10/0.71  % (23629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.10/0.71  % (23629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.10/0.71  % (23629)Termination reason: Refutation not found, incomplete strategy
% 1.10/0.71  
% 1.10/0.71  % (23629)Memory used [KB]: 11897
% 1.10/0.71  % (23629)Time elapsed: 0.120 s
% 1.10/0.71  % (23629)Instructions burned: 16 (million)
% 1.10/0.71  % (23629)------------------------------
% 1.10/0.71  % (23629)------------------------------
% 1.10/0.71  % (23619)First to succeed.
% 1.10/0.71  % (23631)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 (2998ds/6Mi)
% 1.10/0.71  % (23619)Refutation found. Thanks to Tanya!
% 1.10/0.71  % SZS status Unsatisfiable for theBenchmark
% 1.10/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 1.10/0.71  % (23619)------------------------------
% 1.10/0.71  % (23619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.10/0.71  % (23619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.10/0.71  % (23619)Termination reason: Refutation
% 1.10/0.71  
% 1.10/0.71  % (23619)Memory used [KB]: 7419
% 1.10/0.71  % (23619)Time elapsed: 0.115 s
% 1.10/0.71  % (23619)Instructions burned: 14 (million)
% 1.10/0.71  % (23619)------------------------------
% 1.10/0.71  % (23619)------------------------------
% 1.10/0.71  % (23476)Success in time 0.36 s
%------------------------------------------------------------------------------