TSTP Solution File: NUM290+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM290+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 : n026.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 18:03:56 EDT 2022

% Result   : Theorem 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   42 (  21   ~;  15   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1064,plain,
    $false,
    inference(subsumption_resolution,[],[f1063,f715]) ).

fof(f715,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).

fof(f1063,plain,
    ~ rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(subsumption_resolution,[],[f1055,f682]) ).

fof(f682,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).

fof(f1055,plain,
    ( ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
    | ~ rdn_translate(n2,rdn_pos(rdnn(n2))) ),
    inference(resolution,[],[f1050,f529]) ).

fof(f529,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).

fof(f1050,plain,
    ! [X0,X1] :
      ( ~ rdn_positive_less(X0,X1)
      | ~ rdn_translate(n2,rdn_pos(X0))
      | ~ rdn_translate(n3,rdn_pos(X1)) ),
    inference(resolution,[],[f572,f596]) ).

fof(f596,plain,
    ~ less(n2,n3),
    inference(cnf_transformation,[],[f410]) ).

fof(f410,plain,
    ~ less(n2,n3),
    inference(flattening,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ less(n2,n3),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    less(n2,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n2_less_n3) ).

fof(f572,plain,
    ! [X2,X3,X0,X1] :
      ( less(X1,X2)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X2,rdn_pos(X0))
      | ~ rdn_positive_less(X3,X0) ),
    inference(cnf_transformation,[],[f479]) ).

fof(f479,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rdn_positive_less(X3,X0)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | less(X1,X2)
      | ~ rdn_translate(X2,rdn_pos(X0)) ),
    inference(rectify,[],[f458]) ).

fof(f458,plain,
    ! [X2,X3,X1,X0] :
      ( ~ rdn_positive_less(X0,X2)
      | ~ rdn_translate(X3,rdn_pos(X0))
      | less(X3,X1)
      | ~ rdn_translate(X1,rdn_pos(X2)) ),
    inference(flattening,[],[f457]) ).

fof(f457,plain,
    ! [X3,X0,X2,X1] :
      ( less(X3,X1)
      | ~ rdn_translate(X3,rdn_pos(X0))
      | ~ rdn_translate(X1,rdn_pos(X2))
      | ~ rdn_positive_less(X0,X2) ),
    inference(ennf_transformation,[],[f427]) ).

fof(f427,plain,
    ! [X3,X0,X2,X1] :
      ( ( rdn_translate(X3,rdn_pos(X0))
        & rdn_translate(X1,rdn_pos(X2))
        & rdn_positive_less(X0,X2) )
     => less(X3,X1) ),
    inference(rectify,[],[f281]) ).

fof(f281,axiom,
    ! [X9,X1,X10,X0] :
      ( ( rdn_positive_less(X9,X10)
        & rdn_translate(X0,rdn_pos(X9))
        & rdn_translate(X1,rdn_pos(X10)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM290+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 06:33:36 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (16278)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)
% 0.20/0.51  % (16270)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)
% 0.20/0.52  % (16262)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)
% 0.20/0.54  % (16268)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (16257)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  % (16256)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)
% 0.20/0.55  % (16281)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  % (16280)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (16282)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)
% 0.20/0.55  % (16259)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)
% 0.20/0.55  % (16261)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)
% 0.20/0.55  % (16258)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)
% 0.20/0.55  % (16260)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (16279)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)
% 0.20/0.55  % (16269)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (16285)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.56  % (16273)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56  % (16263)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56  % (16272)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56  % (16271)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)
% 0.20/0.56  % (16274)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  % (16263)Instruction limit reached!
% 0.20/0.56  % (16263)------------------------------
% 0.20/0.56  % (16263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (16263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (16263)Termination reason: Unknown
% 0.20/0.56  % (16263)Termination phase: Property scanning
% 0.20/0.56  
% 0.20/0.56  % (16263)Memory used [KB]: 1279
% 0.20/0.56  % (16263)Time elapsed: 0.004 s
% 0.20/0.56  % (16263)Instructions burned: 7 (million)
% 0.20/0.56  % (16263)------------------------------
% 0.20/0.56  % (16263)------------------------------
% 0.20/0.56  % (16277)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56  % (16284)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56  % (16266)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (16283)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)
% 0.20/0.56  % (16265)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)
% 0.20/0.56  % (16275)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)
% 0.20/0.56  % (16264)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (16264)Instruction limit reached!
% 0.20/0.57  % (16264)------------------------------
% 0.20/0.57  % (16264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16264)Termination reason: Unknown
% 0.20/0.57  % (16264)Termination phase: Preprocessing 1
% 0.20/0.57  
% 0.20/0.57  % (16264)Memory used [KB]: 1151
% 0.20/0.57  % (16264)Time elapsed: 0.002 s
% 0.20/0.57  % (16264)Instructions burned: 2 (million)
% 0.20/0.57  % (16264)------------------------------
% 0.20/0.57  % (16264)------------------------------
% 0.20/0.57  % (16267)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)
% 0.20/0.57  % (16278)First to succeed.
% 0.20/0.57  % (16276)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.57  % (16278)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Theorem for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (16278)------------------------------
% 0.20/0.57  % (16278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (16278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (16278)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (16278)Memory used [KB]: 2046
% 0.20/0.57  % (16278)Time elapsed: 0.091 s
% 0.20/0.57  % (16278)Instructions burned: 39 (million)
% 0.20/0.57  % (16278)------------------------------
% 0.20/0.57  % (16278)------------------------------
% 0.20/0.57  % (16255)Success in time 0.21 s
%------------------------------------------------------------------------------