TSTP Solution File: RNG116+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG116+4 : 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_sat --cores 0 -t %d %s

% Computer : n002.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 18:15:55 EDT 2022

% Result   : Theorem 1.37s 0.53s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   61 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   59 (  19   ~;  10   |;  28   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   20 (   8   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f437,plain,
    $false,
    inference(subsumption_resolution,[],[f436,f315]) ).

fof(f315,plain,
    xu = sdtpldt0(xk,xl),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ( aElementOf0(xk,slsdtgt0(xa))
    & xl = sdtasdt0(xb,sK21)
    & aElement0(sK21)
    & aElementOf0(xl,slsdtgt0(xb))
    & xu = sdtpldt0(xk,xl)
    & aElement0(sK22)
    & xk = sdtasdt0(xa,sK22) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f66,f182,f181]) ).

fof(f181,plain,
    ( ? [X0] :
        ( sdtasdt0(xb,X0) = xl
        & aElement0(X0) )
   => ( xl = sdtasdt0(xb,sK21)
      & aElement0(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f182,plain,
    ( ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xa,X1) = xk )
   => ( aElement0(sK22)
      & xk = sdtasdt0(xa,sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ( aElementOf0(xk,slsdtgt0(xa))
    & ? [X0] :
        ( sdtasdt0(xb,X0) = xl
        & aElement0(X0) )
    & aElementOf0(xl,slsdtgt0(xb))
    & xu = sdtpldt0(xk,xl)
    & ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xa,X1) = xk ) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ( xu = sdtpldt0(xk,xl)
    & aElementOf0(xk,slsdtgt0(xa))
    & ? [X0] :
        ( sdtasdt0(xb,X0) = xl
        & aElement0(X0) )
    & aElementOf0(xl,slsdtgt0(xb))
    & ? [X0] :
        ( sdtasdt0(xa,X0) = xk
        & aElement0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2456) ).

fof(f436,plain,
    xu != sdtpldt0(xk,xl),
    inference(subsumption_resolution,[],[f433,f317]) ).

fof(f317,plain,
    aElement0(sK21),
    inference(cnf_transformation,[],[f183]) ).

fof(f433,plain,
    ( ~ aElement0(sK21)
    | xu != sdtpldt0(xk,xl) ),
    inference(superposition,[],[f432,f318]) ).

fof(f318,plain,
    xl = sdtasdt0(xb,sK21),
    inference(cnf_transformation,[],[f183]) ).

fof(f432,plain,
    ! [X0] :
      ( xu != sdtpldt0(xk,sdtasdt0(xb,X0))
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f431,f314]) ).

fof(f314,plain,
    aElement0(sK22),
    inference(cnf_transformation,[],[f183]) ).

fof(f431,plain,
    ! [X0] :
      ( xu != sdtpldt0(xk,sdtasdt0(xb,X0))
      | ~ aElement0(sK22)
      | ~ aElement0(X0) ),
    inference(superposition,[],[f342,f313]) ).

fof(f313,plain,
    xk = sdtasdt0(xa,sK22),
    inference(cnf_transformation,[],[f183]) ).

fof(f342,plain,
    ! [X0,X1] :
      ( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(rectify,[],[f124]) ).

fof(f124,plain,
    ! [X1,X0] :
      ( xu != sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X0))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,plain,
    ~ ? [X1,X0] :
        ( xu = sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X0))
        & aElement0(X1)
        & aElement0(X0) ),
    inference(rectify,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ? [X1,X0] :
        ( aElement0(X1)
        & aElement0(X0)
        & xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ? [X1,X0] :
      ( aElement0(X1)
      & aElement0(X0)
      & xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG116+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n002.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 12:23:59 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (16747)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (16744)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (16739)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (16751)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50  % (16744)Instruction limit reached!
% 0.19/0.50  % (16744)------------------------------
% 0.19/0.50  % (16744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16744)Termination reason: Unknown
% 0.19/0.50  % (16744)Termination phase: shuffling
% 0.19/0.50  
% 0.19/0.50  % (16744)Memory used [KB]: 1023
% 0.19/0.50  % (16744)Time elapsed: 0.004 s
% 0.19/0.50  % (16744)Instructions burned: 2 (million)
% 0.19/0.50  % (16744)------------------------------
% 0.19/0.50  % (16744)------------------------------
% 0.19/0.50  % (16746)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (16759)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51  % (16736)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51  % (16757)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52  % (16758)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.37/0.52  % (16738)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.37/0.52  % (16751)First to succeed.
% 1.37/0.52  % (16763)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.37/0.52  % (16740)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.53  % (16741)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.37/0.53  % (16748)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.37/0.53  % (16751)Refutation found. Thanks to Tanya!
% 1.37/0.53  % SZS status Theorem for theBenchmark
% 1.37/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.53  % (16751)------------------------------
% 1.37/0.53  % (16751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (16751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (16751)Termination reason: Refutation
% 1.37/0.53  
% 1.37/0.53  % (16751)Memory used [KB]: 1279
% 1.37/0.53  % (16751)Time elapsed: 0.123 s
% 1.37/0.53  % (16751)Instructions burned: 12 (million)
% 1.37/0.53  % (16751)------------------------------
% 1.37/0.53  % (16751)------------------------------
% 1.37/0.53  % (16735)Success in time 0.183 s
%------------------------------------------------------------------------------