TSTP Solution File: COM018+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COM018+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n015.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 15:53:12 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   35 (  16   ~;  12   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (  14   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f179,plain,
    $false,
    inference(subsumption_resolution,[],[f178,f160]) ).

fof(f160,plain,
    aElement0(xw),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    ( aElement0(xw)
    & sdtmndtasgtdt0(xu,xR,xw)
    & sdtmndtasgtdt0(xv,xR,xw) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).

fof(f178,plain,
    ~ aElement0(xw),
    inference(unit_resulting_resolution,[],[f116,f139,f153,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK16(X0,X1),X1,X0)
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ isTerminating0(X0)
      | ! [X1] :
          ( aNormalFormOfIn0(sK16(X0,X1),X1,X0)
          | ~ aElement0(X1) )
      | ~ aRewritingSystem0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f50,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
     => aNormalFormOfIn0(sK16(X0,X1),X1,X0) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ isTerminating0(X0)
      | ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( isTerminating0(X0)
        & aRewritingSystem0(X0) )
     => ! [X1] :
          ( aElement0(X1)
         => ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermNF) ).

fof(f153,plain,
    isTerminating0(xR),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( isTerminating0(xR)
    & isLocallyConfluent0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).

fof(f139,plain,
    ! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ ? [X0] : aNormalFormOfIn0(X0,xw,xR),
    inference(negated_conjecture,[],[f23]) ).

fof(f23,conjecture,
    ? [X0] : aNormalFormOfIn0(X0,xw,xR),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f116,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COM018+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n015.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   : Mon Aug 29 17:18:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  % (15988)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (15988)First to succeed.
% 0.19/0.49  % (16005)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.49  % (15999)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (15987)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (16009)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.49  % (15996)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49  % (16000)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (15996)Instruction limit reached!
% 0.19/0.50  % (15996)------------------------------
% 0.19/0.50  % (15996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (15996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (15996)Termination reason: Unknown
% 0.19/0.50  % (15996)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (15996)Memory used [KB]: 6140
% 0.19/0.50  % (15996)Time elapsed: 0.115 s
% 0.19/0.50  % (15996)Instructions burned: 7 (million)
% 0.19/0.50  % (15996)------------------------------
% 0.19/0.50  % (15996)------------------------------
% 0.19/0.50  % (15998)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (15992)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50  % (15988)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (15988)------------------------------
% 0.19/0.50  % (15988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (15988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (15988)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (15988)Memory used [KB]: 6140
% 0.19/0.50  % (15988)Time elapsed: 0.090 s
% 0.19/0.50  % (15988)Instructions burned: 6 (million)
% 0.19/0.50  % (15988)------------------------------
% 0.19/0.50  % (15988)------------------------------
% 0.19/0.50  % (15981)Success in time 0.159 s
%------------------------------------------------------------------------------