TSTP Solution File: SWV272-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV272-1 : 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 : n029.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 18:44:47 EDT 2022

% Result   : Unsatisfiable 1.28s 0.61s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   6 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  20   ~;  23   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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;   4 con; 0-3 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2853,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2843,f2848,f2852]) ).

fof(f2852,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f2851]) ).

fof(f2851,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f2850,f2830]) ).

fof(f2830,plain,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(resolution,[],[f2828,f2641]) ).

fof(f2641,axiom,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).

fof(f2828,axiom,
    ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f2850,plain,
    ( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f2838,f2823]) ).

fof(f2823,axiom,
    ! [X91,X88,X86] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X91,X86),c_Message_Oparts(X88),tc_Message_Omsg)
      | c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody_0) ).

fof(f2838,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f2836]) ).

fof(f2836,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2848,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f2847]) ).

fof(f2847,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f2846,f2831]) ).

fof(f2831,plain,
    ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(resolution,[],[f2828,f2642]) ).

fof(f2642,axiom,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X13,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).

fof(f2846,plain,
    ( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f2845,f2844]) ).

fof(f2844,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f2837,f2767]) ).

fof(f2767,axiom,
    ! [X88,X86] :
      ( c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg)
      | ~ c_in(X86,X88,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f2837,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f2836]) ).

fof(f2845,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
    | c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f2842,f2773]) ).

fof(f2773,axiom,
    ! [X91,X88,X86] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X91,X86),c_Message_Osynth(X88),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X91,X86),X88,tc_Message_Omsg)
      | c_in(X86,c_Message_Osynth(X88),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).

fof(f2842,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f2840]) ).

fof(f2840,plain,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2843,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f2834,f2840,f2836]) ).

fof(f2834,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
    inference(resolution,[],[f2827,f2640]) ).

fof(f2640,axiom,
    ! [X1,X4,X12,X13] :
      ( ~ c_in(X4,c_union(X12,X13,X1),X1)
      | c_in(X4,X13,X1)
      | c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).

fof(f2827,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWV272-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n029.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 19:22:27 EDT 2022
% 0.17/0.31  % CPUTime    : 
% 1.01/0.55  % (13871)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)
% 1.01/0.55  % (13888)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.01/0.55  % (13880)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.28/0.56  % (13867)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)
% 1.28/0.56  % (13865)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.28/0.56  % (13879)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)
% 1.28/0.57  % (13872)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)
% 1.28/0.57  % (13867)Instruction limit reached!
% 1.28/0.57  % (13867)------------------------------
% 1.28/0.57  % (13867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.57  % (13867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.57  % (13867)Termination reason: Unknown
% 1.28/0.57  % (13867)Termination phase: Unused predicate definition removal
% 1.28/0.57  
% 1.28/0.57  % (13867)Memory used [KB]: 3582
% 1.28/0.57  % (13867)Time elapsed: 0.005 s
% 1.28/0.57  % (13867)Instructions burned: 4 (million)
% 1.28/0.57  % (13867)------------------------------
% 1.28/0.57  % (13867)------------------------------
% 1.28/0.57  % (13887)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)
% 1.28/0.57  % (13880)Instruction limit reached!
% 1.28/0.57  % (13880)------------------------------
% 1.28/0.57  % (13880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.57  % (13868)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)
% 1.28/0.57  % (13866)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)
% 1.28/0.57  % (13880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.57  % (13880)Termination reason: Unknown
% 1.28/0.57  % (13880)Termination phase: Function definition elimination
% 1.28/0.57  
% 1.28/0.57  % (13880)Memory used [KB]: 3709
% 1.28/0.57  % (13880)Time elapsed: 0.015 s
% 1.28/0.57  % (13880)Instructions burned: 6 (million)
% 1.28/0.57  % (13880)------------------------------
% 1.28/0.57  % (13880)------------------------------
% 1.28/0.58  % (13878)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)
% 1.28/0.58  % (13878)Instruction limit reached!
% 1.28/0.58  % (13878)------------------------------
% 1.28/0.58  % (13878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.58  % (13878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.58  % (13878)Termination reason: Unknown
% 1.28/0.58  % (13878)Termination phase: SInE selection
% 1.28/0.58  
% 1.28/0.58  % (13878)Memory used [KB]: 3454
% 1.28/0.58  % (13878)Time elapsed: 0.005 s
% 1.28/0.58  % (13878)Instructions burned: 4 (million)
% 1.28/0.58  % (13878)------------------------------
% 1.28/0.58  % (13878)------------------------------
% 1.28/0.59  % (13877)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)
% 1.28/0.59  % (13875)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)
% 1.28/0.59  % (13874)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)
% 1.28/0.59  % (13877)Instruction limit reached!
% 1.28/0.59  % (13877)------------------------------
% 1.28/0.59  % (13877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.59  % (13877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.59  % (13877)Termination reason: Unknown
% 1.28/0.59  % (13877)Termination phase: Unused predicate definition removal
% 1.28/0.59  
% 1.28/0.59  % (13877)Memory used [KB]: 3709
% 1.28/0.59  % (13877)Time elapsed: 0.006 s
% 1.28/0.59  % (13877)Instructions burned: 5 (million)
% 1.28/0.59  % (13877)------------------------------
% 1.28/0.59  % (13877)------------------------------
% 1.28/0.60  % (13870)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.28/0.60  % (13873)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)
% 1.28/0.60  % (13872)First to succeed.
% 1.28/0.60  % (13873)Instruction limit reached!
% 1.28/0.60  % (13873)------------------------------
% 1.28/0.60  % (13873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.60  % (13873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.60  % (13873)Termination reason: Unknown
% 1.28/0.60  % (13873)Termination phase: shuffling
% 1.28/0.60  
% 1.28/0.60  % (13873)Memory used [KB]: 3454
% 1.28/0.60  % (13873)Time elapsed: 0.004 s
% 1.28/0.60  % (13873)Instructions burned: 3 (million)
% 1.28/0.60  % (13873)------------------------------
% 1.28/0.60  % (13873)------------------------------
% 1.28/0.60  % (13884)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)
% 1.28/0.61  % (13872)Refutation found. Thanks to Tanya!
% 1.28/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.28/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.61  % (13872)------------------------------
% 1.28/0.61  % (13872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.61  % (13872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.61  % (13872)Termination reason: Refutation
% 1.28/0.61  
% 1.28/0.61  % (13872)Memory used [KB]: 8187
% 1.28/0.61  % (13872)Time elapsed: 0.102 s
% 1.28/0.61  % (13872)Instructions burned: 14 (million)
% 1.28/0.61  % (13872)------------------------------
% 1.28/0.61  % (13872)------------------------------
% 1.28/0.61  % (13864)Success in time 0.281 s
%------------------------------------------------------------------------------