TSTP Solution File: SYN122-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN122-1 : 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 : n004.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 19:25:37 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   30 (   8 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   71 (  38   ~;  29   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f403,plain,
    $false,
    inference(avatar_sat_refutation,[],[f378,f388,f392,f400,f402]) ).

fof(f402,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f401]) ).

fof(f401,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f384,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f384,plain,
    ( ! [X2] : ~ p0(X2,X2)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f383,plain,
    ( spl0_3
  <=> ! [X2] : ~ p0(X2,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f400,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f399]) ).

fof(f399,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f31,f398]) ).

fof(f398,plain,
    ( ! [X0] : ~ m0(X0,b,e)
    | ~ spl0_4 ),
    inference(resolution,[],[f397,f14]) ).

fof(f397,plain,
    ( ! [X4,X5] :
        ( ~ p0(X5,X5)
        | ~ m0(X4,X5,e) )
    | ~ spl0_4 ),
    inference(resolution,[],[f387,f163]) ).

fof(f163,axiom,
    ! [X2] :
      ( s1(X2)
      | ~ p0(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).

fof(f387,plain,
    ( ! [X3,X4] :
        ( ~ s1(X3)
        | ~ m0(X4,X3,e) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl0_4
  <=> ! [X4,X3] :
        ( ~ s1(X3)
        | ~ m0(X4,X3,e) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f31,axiom,
    m0(b,b,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).

fof(f392,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f391]) ).

fof(f391,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f390,f14]) ).

fof(f390,plain,
    ( ~ p0(b,b)
    | spl0_2 ),
    inference(resolution,[],[f377,f163]) ).

fof(f377,plain,
    ( ~ s1(b)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f376,plain,
    ( spl0_2
  <=> s1(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f388,plain,
    ( spl0_3
    | spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f380,f373,f386,f383]) ).

fof(f373,plain,
    ( spl0_1
  <=> l2(e,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f380,plain,
    ( ! [X2,X3,X4] :
        ( ~ s1(X3)
        | ~ p0(X2,X2)
        | ~ m0(X4,X3,e) )
    | spl0_1 ),
    inference(resolution,[],[f374,f171]) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( ~ p0(X10,X10)
      | ~ s1(X11)
      | ~ m0(X6,X11,X3)
      | l2(X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).

fof(f374,plain,
    ( ~ l2(e,e)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f378,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f371,f376,f373]) ).

fof(f371,plain,
    ( ~ s1(b)
    | ~ l2(e,e) ),
    inference(subsumption_resolution,[],[f370,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

fof(f370,plain,
    ( ~ n0(e,e)
    | ~ s1(b)
    | ~ l2(e,e) ),
    inference(resolution,[],[f369,f169]) ).

fof(f169,axiom,
    ! [X8,X7] :
      ( ~ n0(e,X8)
      | ~ s1(X7)
      | l2(X7,X8)
      | ~ l2(X8,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_131) ).

fof(f369,axiom,
    ~ l2(b,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN122-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % 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 : n004.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 21:28:49 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (18271)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)
% 0.18/0.49  % (18294)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)
% 0.18/0.50  % (18270)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.50  % (18273)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)
% 0.18/0.50  % (18281)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)
% 0.18/0.50  % (18287)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.50  % (18278)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)
% 0.18/0.50  % (18279)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)
% 0.18/0.51  % (18280)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)
% 0.18/0.51  % (18271)Refutation not found, incomplete strategy% (18271)------------------------------
% 0.18/0.51  % (18271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (18297)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)
% 0.18/0.51  % (18271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (18271)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (18271)Memory used [KB]: 2046
% 0.18/0.51  % (18271)Time elapsed: 0.116 s
% 0.18/0.51  % (18271)Instructions burned: 6 (million)
% 0.18/0.51  % (18271)------------------------------
% 0.18/0.51  % (18271)------------------------------
% 0.18/0.51  % (18274)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)
% 0.18/0.51  % (18297)Refutation not found, incomplete strategy% (18297)------------------------------
% 0.18/0.51  % (18297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (18274)Refutation not found, incomplete strategy% (18274)------------------------------
% 0.18/0.51  % (18274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (18297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (18297)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  % (18274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  
% 0.18/0.51  % (18274)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (18297)Memory used [KB]: 1663
% 0.18/0.51  % (18274)Memory used [KB]: 6140
% 0.18/0.51  % (18297)Time elapsed: 0.127 s
% 0.18/0.51  % (18274)Time elapsed: 0.002 s
% 0.18/0.51  % (18297)Instructions burned: 2 (million)
% 0.18/0.51  % (18274)Instructions burned: 2 (million)
% 0.18/0.51  % (18297)------------------------------
% 0.18/0.51  % (18297)------------------------------
% 0.18/0.51  % (18274)------------------------------
% 0.18/0.51  % (18274)------------------------------
% 0.18/0.51  % (18278)Instruction limit reached!
% 0.18/0.51  % (18278)------------------------------
% 0.18/0.51  % (18278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (18278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (18278)Termination reason: Unknown
% 0.18/0.51  % (18278)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (18278)Memory used [KB]: 1791
% 0.18/0.51  % (18278)Time elapsed: 0.005 s
% 0.18/0.51  % (18278)Instructions burned: 3 (million)
% 0.18/0.51  % (18278)------------------------------
% 0.18/0.51  % (18278)------------------------------
% 0.18/0.51  % (18275)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51  % (18294)Refutation not found, incomplete strategy% (18294)------------------------------
% 0.18/0.51  % (18294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (18294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (18294)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (18294)Memory used [KB]: 6396
% 0.18/0.51  % (18294)Time elapsed: 0.099 s
% 0.18/0.51  % (18294)Instructions burned: 6 (million)
% 0.18/0.51  % (18294)------------------------------
% 0.18/0.51  % (18294)------------------------------
% 0.18/0.51  % (18295)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)
% 0.18/0.51  % (18287)Instruction limit reached!
% 0.18/0.51  % (18287)------------------------------
% 0.18/0.51  % (18287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (18287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (18287)Termination reason: Unknown
% 0.18/0.51  % (18287)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (18287)Memory used [KB]: 6652
% 0.18/0.51  % (18287)Time elapsed: 0.007 s
% 0.18/0.51  % (18287)Instructions burned: 9 (million)
% 0.18/0.51  % (18287)------------------------------
% 0.18/0.51  % (18287)------------------------------
% 0.18/0.52  % (18289)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)
% 0.18/0.52  % (18279)Refutation not found, incomplete strategy% (18279)------------------------------
% 0.18/0.52  % (18279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (18279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (18279)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (18279)Memory used [KB]: 6268
% 0.18/0.52  % (18279)Time elapsed: 0.121 s
% 0.18/0.52  % (18279)Instructions burned: 4 (million)
% 0.18/0.52  % (18279)------------------------------
% 0.18/0.52  % (18279)------------------------------
% 0.18/0.52  % (18293)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)
% 0.18/0.52  % (18273)Refutation not found, incomplete strategy% (18273)------------------------------
% 0.18/0.52  % (18273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (18273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (18273)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (18273)Memory used [KB]: 6140
% 0.18/0.52  % (18273)Time elapsed: 0.003 s
% 0.18/0.52  % (18273)Instructions burned: 2 (million)
% 0.18/0.52  % (18273)------------------------------
% 0.18/0.52  % (18273)------------------------------
% 0.18/0.52  % (18276)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)
% 0.18/0.52  % (18298)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)
% 0.18/0.52  % (18293)First to succeed.
% 0.18/0.52  % (18293)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (18293)------------------------------
% 0.18/0.52  % (18293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (18293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (18293)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (18293)Memory used [KB]: 6652
% 0.18/0.52  % (18293)Time elapsed: 0.094 s
% 0.18/0.52  % (18293)Instructions burned: 8 (million)
% 0.18/0.52  % (18293)------------------------------
% 0.18/0.52  % (18293)------------------------------
% 0.18/0.52  % (18269)Success in time 0.182 s
%------------------------------------------------------------------------------