TSTP Solution File: SYN211-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN211-1 : TPTP v8.1.0. Released v1.1.0.
% 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 19:25:52 EDT 2022

% Result   : Unsatisfiable 1.35s 0.55s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   52 (  31   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f563,plain,
    $false,
    inference(avatar_sat_refutation,[],[f381,f515,f539]) ).

fof(f539,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f538]) ).

fof(f538,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f34,f377]) ).

fof(f377,plain,
    ( ! [X5] : ~ n0(X5,d)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f376,plain,
    ( spl0_1
  <=> ! [X5] : ~ n0(X5,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

fof(f515,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f512]) ).

fof(f512,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f13,f424]) ).

fof(f424,plain,
    ( ! [X8] : ~ r0(X8)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f154,f408]) ).

fof(f408,plain,
    ( ! [X3,X10] : ~ q1(X10,X3,X3)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f167,f407]) ).

fof(f407,plain,
    ( ! [X7] : ~ k2(X7,X7)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f400,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f400,plain,
    ( ! [X8,X7] :
        ( ~ k2(X7,X7)
        | ~ q0(X8,d) )
    | ~ spl0_2 ),
    inference(resolution,[],[f380,f290]) ).

fof(f290,axiom,
    ! [X2,X3,X5] :
      ( ~ k2(X3,X3)
      | p3(X5,X5,X5)
      | ~ q0(X2,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_252) ).

fof(f380,plain,
    ( ! [X3,X4] : ~ p3(X3,d,X4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f379,plain,
    ( spl0_2
  <=> ! [X4,X3] : ~ p3(X3,d,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( k2(X3,X3)
      | ~ q1(X10,X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).

fof(f154,axiom,
    ! [X8] :
      ( q1(X8,X8,X8)
      | ~ r0(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_116) ).

fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f381,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f372,f379,f376]) ).

fof(f372,plain,
    ! [X3,X4,X5] :
      ( ~ p3(X3,d,X4)
      | ~ n0(X5,d) ),
    inference(resolution,[],[f370,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( ~ l1(d,X1)
      | ~ p3(X0,X1,X2) ),
    inference(resolution,[],[f369,f337]) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( s4(X10)
      | ~ p3(X11,X6,X7)
      | ~ l1(X10,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).

fof(f369,axiom,
    ~ s4(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN211-1 : TPTP v8.1.0. Released v1.1.0.
% 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
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 21:47:27 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.52  % (28087)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)
% 0.18/0.52  % (28078)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)
% 0.18/0.53  % (28084)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)
% 0.18/0.53  % (28093)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)
% 0.18/0.53  % (28084)Refutation not found, incomplete strategy% (28084)------------------------------
% 0.18/0.53  % (28084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (28084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (28084)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (28084)Memory used [KB]: 6140
% 0.18/0.53  % (28084)Time elapsed: 0.003 s
% 0.18/0.53  % (28084)Instructions burned: 1 (million)
% 0.18/0.53  % (28084)------------------------------
% 0.18/0.53  % (28084)------------------------------
% 0.18/0.53  % (28083)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)
% 1.35/0.53  % (28086)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)
% 1.35/0.53  % (28094)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.35/0.53  % (28100)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)
% 1.35/0.53  % (28101)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)
% 1.35/0.53  % (28102)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)
% 1.35/0.54  % (28092)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)
% 1.35/0.54  % (28106)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)
% 1.35/0.54  % (28102)Refutation not found, incomplete strategy% (28102)------------------------------
% 1.35/0.54  % (28102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (28102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (28102)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.54  
% 1.35/0.54  % (28102)Memory used [KB]: 6268
% 1.35/0.54  % (28102)Time elapsed: 0.107 s
% 1.35/0.54  % (28102)Instructions burned: 6 (million)
% 1.35/0.54  % (28102)------------------------------
% 1.35/0.54  % (28102)------------------------------
% 1.35/0.54  % (28105)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)
% 1.35/0.54  % (28080)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)
% 1.35/0.54  % (28087)Instruction limit reached!
% 1.35/0.54  % (28087)------------------------------
% 1.35/0.54  % (28087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (28087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (28087)Termination reason: Unknown
% 1.35/0.54  % (28087)Termination phase: Saturation
% 1.35/0.54  
% 1.35/0.54  % (28087)Memory used [KB]: 6140
% 1.35/0.54  % (28087)Time elapsed: 0.005 s
% 1.35/0.54  % (28087)Instructions burned: 6 (million)
% 1.35/0.54  % (28087)------------------------------
% 1.35/0.54  % (28087)------------------------------
% 1.35/0.54  % (28085)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)
% 1.35/0.54  % (28099)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)
% 1.35/0.54  % (28095)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)
% 1.35/0.54  % (28085)Instruction limit reached!
% 1.35/0.54  % (28085)------------------------------
% 1.35/0.54  % (28085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (28085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (28085)Termination reason: Unknown
% 1.35/0.54  % (28085)Termination phase: Saturation
% 1.35/0.54  
% 1.35/0.54  % (28085)Memory used [KB]: 1791
% 1.35/0.54  % (28085)Time elapsed: 0.004 s
% 1.35/0.54  % (28085)Instructions burned: 4 (million)
% 1.35/0.54  % (28085)------------------------------
% 1.35/0.54  % (28085)------------------------------
% 1.35/0.54  % (28092)Instruction limit reached!
% 1.35/0.54  % (28092)------------------------------
% 1.35/0.54  % (28092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (28092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (28092)Termination reason: Unknown
% 1.35/0.54  % (28092)Termination phase: Finite model building preprocessing
% 1.35/0.54  
% 1.35/0.54  % (28092)Memory used [KB]: 1918
% 1.35/0.54  % (28092)Time elapsed: 0.008 s
% 1.35/0.54  % (28092)Instructions burned: 6 (million)
% 1.35/0.54  % (28092)------------------------------
% 1.35/0.54  % (28092)------------------------------
% 1.35/0.54  % (28103)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)
% 1.35/0.54  % (28093)Instruction limit reached!
% 1.35/0.54  % (28093)------------------------------
% 1.35/0.54  % (28093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (28093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (28093)Termination reason: Unknown
% 1.35/0.54  % (28093)Termination phase: Saturation
% 1.35/0.54  
% 1.35/0.54  % (28093)Memory used [KB]: 1791
% 1.35/0.54  % (28093)Time elapsed: 0.003 s
% 1.35/0.54  % (28093)Instructions burned: 3 (million)
% 1.35/0.54  % (28093)------------------------------
% 1.35/0.54  % (28093)------------------------------
% 1.35/0.54  % (28100)First to succeed.
% 1.35/0.54  % (28090)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)
% 1.35/0.55  % (28100)Refutation found. Thanks to Tanya!
% 1.35/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.35/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.55  % (28100)------------------------------
% 1.35/0.55  % (28100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.55  % (28100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.55  % (28100)Termination reason: Refutation
% 1.35/0.55  
% 1.35/0.55  % (28100)Memory used [KB]: 6652
% 1.35/0.55  % (28100)Time elapsed: 0.132 s
% 1.35/0.55  % (28100)Instructions burned: 12 (million)
% 1.35/0.55  % (28100)------------------------------
% 1.35/0.55  % (28100)------------------------------
% 1.35/0.55  % (28076)Success in time 0.203 s
%------------------------------------------------------------------------------