TSTP Solution File: SYN054+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n012.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 19:36:42 EDT 2022

% Result   : Theorem 1.27s 0.53s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (   3 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   47 (  19   ~;  19   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   22 (  13   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,plain,
    $false,
    inference(subsumption_resolution,[],[f25,f23]) ).

fof(f23,plain,
    ! [X0] : ~ big_q(X0),
    inference(subsumption_resolution,[],[f18,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ big_q(X0)
      | big_s(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( big_s(X0)
      | ( ~ big_q(X0)
        & ~ big_r(X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ( big_q(X0)
        | big_r(X0) )
     => big_s(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_4) ).

fof(f18,plain,
    ! [X0] :
      ( ~ big_q(X0)
      | ~ big_s(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ big_q(X0)
      | ~ big_s(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ~ ? [X0] :
        ( big_s(X0)
        & big_q(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_1) ).

fof(f25,plain,
    big_q(sK0),
    inference(subsumption_resolution,[],[f24,f23]) ).

fof(f24,plain,
    ( big_q(sK1)
    | big_q(sK0) ),
    inference(resolution,[],[f16,f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | big_q(X0) ),
    inference(subsumption_resolution,[],[f17,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ big_r(X0)
      | ~ big_p(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ big_r(X0)
      | ~ big_p(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ? [X0] :
        ( big_r(X0)
        & big_p(X0) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ? [X0] :
      ( big_r(X0)
      & big_p(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24) ).

fof(f17,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | big_r(X0)
      | big_q(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0] :
      ( big_q(X0)
      | ~ big_p(X0)
      | big_r(X0) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ! [X0] :
      ( big_r(X0)
      | big_q(X0)
      | ~ big_p(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( big_p(X0)
     => ( big_r(X0)
        | big_q(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_2) ).

fof(f16,plain,
    ( big_p(sK0)
    | big_q(sK1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( big_p(sK0)
    | big_q(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f14,f13]) ).

fof(f13,plain,
    ( ? [X0] : big_p(X0)
   => big_p(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ( ? [X1] : big_q(X1)
   => big_q(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ( ? [X0] : big_p(X0)
    | ? [X1] : big_q(X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ~ ? [X0] : big_p(X0)
   => ? [X1] : big_q(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel24_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:24:35 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.51  % (28705)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.27/0.52  % (28693)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 (3000ds/37Mi)
% 1.27/0.52  % (28693)First to succeed.
% 1.27/0.52  % (28708)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.27/0.52  % (28692)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.27/0.52  % (28696)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 (3000ds/48Mi)
% 1.27/0.52  % (28691)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 (3000ds/191324Mi)
% 1.27/0.52  % (28697)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.27/0.52  Detected maximum model sizes of [2]
% 1.27/0.52  TRYING [1]
% 1.27/0.52  TRYING [2]
% 1.27/0.52  % (28697)Also succeeded, but the first one will report.
% 1.27/0.53  % (28700)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.27/0.53  % (28702)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.27/0.53  % (28693)Refutation found. Thanks to Tanya!
% 1.27/0.53  % SZS status Theorem for theBenchmark
% 1.27/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.53  % (28693)------------------------------
% 1.27/0.53  % (28693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.53  % (28693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.53  % (28693)Termination reason: Refutation
% 1.27/0.53  
% 1.27/0.53  % (28693)Memory used [KB]: 895
% 1.27/0.53  % (28693)Time elapsed: 0.119 s
% 1.27/0.53  % (28693)Instructions burned: 1 (million)
% 1.27/0.53  % (28693)------------------------------
% 1.27/0.53  % (28693)------------------------------
% 1.27/0.53  % (28690)Success in time 0.175 s
%------------------------------------------------------------------------------