TSTP Solution File: SWV133+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV133+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n003.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 18:55:37 EDT 2022

% Result   : Theorem 1.61s 0.57s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :   78 (  20   ~;  12   |;  40   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f627,plain,
    $false,
    inference(subsumption_resolution,[],[f624,f284]) ).

fof(f284,plain,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( leq(s_worst7,n3)
    & leq(n0,s_worst7)
    & leq(n0,s_best7)
    & leq(s_sworst7,n3)
    & leq(n0,s_sworst7)
    & leq(pv1325,n3)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & ~ leq(n0,pv1325)
    & leq(s_best7,n3)
    & ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
    & leq(n2,pv1325) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ( ~ leq(n0,pv1325)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(s_best7,n3)
    & leq(n0,s_worst7)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(n2,pv1325)
    & ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
    & leq(pv1325,n3) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
        & leq(n0,s_best7)
        & leq(n0,s_sworst7)
        & leq(s_best7,n3)
        & leq(n0,s_worst7)
        & leq(s_sworst7,n3)
        & leq(s_worst7,n3)
        & leq(n2,pv1325)
        & ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
        & leq(pv1325,n3) )
     => leq(n0,pv1325) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
      & leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(s_best7,n3)
      & leq(n0,s_worst7)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & leq(n2,pv1325)
      & ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
      & leq(pv1325,n3) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0003) ).

fof(f624,plain,
    leq(n0,pv1325),
    inference(resolution,[],[f605,f449]) ).

fof(f449,plain,
    ! [X5] :
      ( ~ leq(X5,n2)
      | leq(X5,pv1325) ),
    inference(resolution,[],[f241,f281]) ).

fof(f281,plain,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f132]) ).

fof(f241,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X2,X0)
      | ~ leq(X1,X2)
      | leq(X1,X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1,X2] :
      ( ~ leq(X1,X2)
      | ~ leq(X2,X0)
      | leq(X1,X0) ),
    inference(rectify,[],[f153]) ).

fof(f153,plain,
    ! [X2,X1,X0] :
      ( ~ leq(X1,X0)
      | ~ leq(X0,X2)
      | leq(X1,X2) ),
    inference(flattening,[],[f152]) ).

fof(f152,plain,
    ! [X1,X2,X0] :
      ( leq(X1,X2)
      | ~ leq(X1,X0)
      | ~ leq(X0,X2) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X1,X2,X0] :
      ( ( leq(X1,X0)
        & leq(X0,X2) )
     => leq(X1,X2) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0,X2] :
      ( ( leq(X0,X1)
        & leq(X1,X2) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).

fof(f605,plain,
    leq(n0,n2),
    inference(resolution,[],[f379,f335]) ).

fof(f335,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).

fof(f379,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,X1) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ! [X1,X0] :
      ( ~ gt(X0,X1)
      | leq(X1,X0) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X1,X0] :
      ( gt(X0,X1)
     => leq(X1,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWV133+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n003.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 19:03:07 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (6501)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (6495)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)
% 0.20/0.52  % (6509)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)
% 0.20/0.52  % (6505)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)
% 0.20/0.52  % (6517)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (6515)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)
% 0.20/0.53  % (6497)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (6497)Instruction limit reached!
% 0.20/0.53  % (6497)------------------------------
% 0.20/0.53  % (6497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (6497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (6497)Termination reason: Unknown
% 0.20/0.53  % (6497)Termination phase: Preprocessing 1
% 0.20/0.53  
% 0.20/0.53  % (6497)Memory used [KB]: 1023
% 0.20/0.53  % (6497)Time elapsed: 0.002 s
% 0.20/0.53  % (6497)Instructions burned: 2 (million)
% 0.20/0.53  % (6497)------------------------------
% 0.20/0.53  % (6497)------------------------------
% 0.20/0.54  % (6506)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (6502)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (6492)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)
% 0.20/0.54  % (6518)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)
% 0.20/0.54  % (6493)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (6503)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  % (6491)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)
% 0.20/0.54  % (6507)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (6514)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  % (6494)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  % (6496)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.48/0.55  % (6513)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.48/0.55  % (6510)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.48/0.55  % (6490)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)
% 1.48/0.55  % (6499)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.48/0.55  % (6508)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)
% 1.48/0.55  % (6512)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)
% 1.48/0.55  % (6489)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)
% 1.48/0.56  % (6500)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)
% 1.48/0.56  % (6516)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)
% 1.48/0.56  % (6517)First to succeed.
% 1.48/0.56  % (6511)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)
% 1.48/0.56  % (6504)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)
% 1.48/0.56  TRYING [1]
% 1.61/0.57  TRYING [2]
% 1.61/0.57  % (6517)Refutation found. Thanks to Tanya!
% 1.61/0.57  % SZS status Theorem for theBenchmark
% 1.61/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.57  % (6517)------------------------------
% 1.61/0.57  % (6517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57  % (6517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57  % (6517)Termination reason: Refutation
% 1.61/0.57  
% 1.61/0.57  % (6517)Memory used [KB]: 5884
% 1.61/0.57  % (6517)Time elapsed: 0.144 s
% 1.61/0.57  % (6517)Instructions burned: 25 (million)
% 1.61/0.57  % (6517)------------------------------
% 1.61/0.57  % (6517)------------------------------
% 1.61/0.57  % (6488)Success in time 0.215 s
%------------------------------------------------------------------------------