TSTP Solution File: NUM293+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM293+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 : Tue Apr 30 14:14:10 EDT 2024

% Result   : Theorem 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;   7   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   29 (  27   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1171,plain,
    $false,
    inference(resolution,[],[f915,f796]) ).

fof(f796,plain,
    rdn_translate(nn119,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,axiom,
    rdn_translate(nn119,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn119) ).

fof(f915,plain,
    ! [X0,X1] : ~ rdn_translate(X0,rdn_neg(X1)),
    inference(resolution,[],[f909,f692]) ).

fof(f692,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn13) ).

fof(f909,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(n13,rdn_pos(X0))
      | ~ rdn_translate(X1,rdn_neg(X2)) ),
    inference(resolution,[],[f864,f475]) ).

fof(f475,plain,
    ! [X0] : ~ less(X0,n13),
    inference(cnf_transformation,[],[f426]) ).

fof(f426,plain,
    ! [X0] : ~ less(X0,n13),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : less(X0,n13),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : less(X0,n13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_n13) ).

fof(f864,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(cnf_transformation,[],[f442]) ).

fof(f442,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(flattening,[],[f441]) ).

fof(f441,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(ennf_transformation,[],[f409]) ).

fof(f409,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_neg(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f282]) ).

fof(f282,axiom,
    ! [X0,X1,X9,X10] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_neg(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM293+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Apr 29 23:51:02 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (2946)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (2949)WARNING: value z3 for option sas not known
% 0.15/0.40  % (2947)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40  % (2950)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40  % (2948)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40  % (2949)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40  % (2951)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.40  % (2952)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.40  % (2953)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.42  % (2952)First to succeed.
% 0.22/0.42  % (2952)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Theorem for theBenchmark
% 0.22/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42  % (2952)------------------------------
% 0.22/0.42  % (2952)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.42  % (2952)Termination reason: Refutation
% 0.22/0.42  
% 0.22/0.42  % (2952)Memory used [KB]: 1663
% 0.22/0.42  % (2952)Time elapsed: 0.026 s
% 0.22/0.42  % (2952)Instructions burned: 49 (million)
% 0.22/0.42  % (2952)------------------------------
% 0.22/0.42  % (2952)------------------------------
% 0.22/0.42  % (2946)Success in time 0.057 s
%------------------------------------------------------------------------------