TSTP Solution File: NUM302+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM302+1 : TPTP v8.1.0. Released v3.1.0.
% 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 18:03:58 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% 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 :   21 (  10   ~;   7   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   26 (  24   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1152,plain,
    $false,
    inference(resolution,[],[f1025,f541]) ).

fof(f541,plain,
    ! [X0] : ~ less(nn2,X0),
    inference(cnf_transformation,[],[f457]) ).

fof(f457,plain,
    ! [X0] : ~ less(nn2,X0),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : less(nn2,X0),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : less(nn2,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nn2_less_something) ).

fof(f1025,plain,
    less(nn2,n0),
    inference(resolution,[],[f898,f775]) ).

fof(f775,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,axiom,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn2) ).

fof(f898,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X0,rdn_neg(X1))
      | less(X0,n0) ),
    inference(resolution,[],[f856,f661]) ).

fof(f661,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).

fof(f856,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_translate(X3,rdn_pos(X0))
      | ~ rdn_translate(X2,rdn_neg(X1))
      | less(X2,X3) ),
    inference(cnf_transformation,[],[f456]) ).

fof(f456,plain,
    ! [X2,X1,X3,X0] :
      ( less(X2,X3)
      | ~ rdn_translate(X2,rdn_neg(X1))
      | ~ rdn_translate(X3,rdn_pos(X0)) ),
    inference(flattening,[],[f455]) ).

fof(f455,plain,
    ! [X1,X0,X2,X3] :
      ( less(X2,X3)
      | ~ rdn_translate(X2,rdn_neg(X1))
      | ~ rdn_translate(X3,rdn_pos(X0)) ),
    inference(ennf_transformation,[],[f417]) ).

fof(f417,plain,
    ! [X1,X0,X2,X3] :
      ( ( rdn_translate(X2,rdn_neg(X1))
        & rdn_translate(X3,rdn_pos(X0)) )
     => less(X2,X3) ),
    inference(rectify,[],[f282]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM302+1 : TPTP v8.1.0. Released v3.1.0.
% 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
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 06:19:36 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (27594)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)
% 0.20/0.49  % (27570)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)
% 0.20/0.50  % (27586)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (27578)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)
% 0.20/0.50  % (27576)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 (2999ds/51Mi)
% 0.20/0.52  % (27592)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (27589)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)
% 0.20/0.53  % (27573)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (27581)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 (2999ds/68Mi)
% 0.20/0.54  % (27568)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (27570)First to succeed.
% 0.20/0.54  % (27570)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (27570)------------------------------
% 0.20/0.54  % (27570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27570)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (27570)Memory used [KB]: 6396
% 0.20/0.54  % (27570)Time elapsed: 0.140 s
% 0.20/0.54  % (27570)Instructions burned: 35 (million)
% 0.20/0.54  % (27570)------------------------------
% 0.20/0.54  % (27570)------------------------------
% 0.20/0.54  % (27566)Success in time 0.191 s
%------------------------------------------------------------------------------