TSTP Solution File: SWV131+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV131+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 : n024.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 18:55:36 EDT 2022

% Result   : Theorem 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :  110 (   0 equ)
%            Maximal formula atoms :   26 (  12 avg)
%            Number of connectives :  134 (  33   ~;  25   |;  50   &)
%                                         (   0 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f431,plain,
    $false,
    inference(subsumption_resolution,[],[f430,f344]) ).

fof(f344,plain,
    ~ leq(tptp_float_0_001,pv1341),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ~ leq(tptp_float_0_001,pv1341)
    & ~ leq(n0,s_best7)
    & ( leq(n0,s_sworst7)
      | ~ gt(loopcounter,n0) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_best7,n3) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_sworst7) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_best7) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_worst7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) ) ),
    inference(flattening,[],[f135]) ).

fof(f135,plain,
    ( ~ leq(n0,s_best7)
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_best7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_sworst7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_best7,n3) )
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ~ leq(tptp_float_0_001,pv1341)
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) )
    & ( leq(n0,s_sworst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_worst7) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_worst7,n3) )
        & ~ leq(tptp_float_0_001,pv1341)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) ) )
     => leq(n0,s_best7) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) )
      & ~ leq(tptp_float_0_001,pv1341)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) ) )
   => leq(n0,s_best7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0001) ).

fof(f430,plain,
    leq(tptp_float_0_001,pv1341),
    inference(subsumption_resolution,[],[f335,f343]) ).

fof(f343,plain,
    ~ leq(n0,s_best7),
    inference(cnf_transformation,[],[f136]) ).

fof(f335,plain,
    ( leq(n0,s_best7)
    | leq(tptp_float_0_001,pv1341) ),
    inference(cnf_transformation,[],[f136]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV131+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13  % 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 : n024.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 19:05:04 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (25084)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (25083)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)
% 0.20/0.55  % (25099)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)
% 0.20/0.55  % (25085)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (25085)Instruction limit reached!
% 0.20/0.55  % (25085)------------------------------
% 0.20/0.55  % (25085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (25085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (25085)Termination reason: Unknown
% 0.20/0.55  % (25085)Termination phase: Unused predicate definition removal
% 0.20/0.55  
% 0.20/0.55  % (25085)Memory used [KB]: 1023
% 0.20/0.55  % (25085)Time elapsed: 0.002 s
% 0.20/0.55  % (25085)Instructions burned: 2 (million)
% 0.20/0.55  % (25085)------------------------------
% 0.20/0.55  % (25085)------------------------------
% 0.20/0.55  % (25101)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  % (25093)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  % (25080)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)
% 0.20/0.56  % (25091)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)
% 0.20/0.56  % (25084)Instruction limit reached!
% 0.20/0.56  % (25084)------------------------------
% 0.20/0.56  % (25084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (25084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (25084)Termination reason: Unknown
% 0.20/0.56  % (25084)Termination phase: Property scanning
% 0.20/0.56  
% 0.20/0.56  % (25084)Memory used [KB]: 1151
% 0.20/0.56  % (25084)Time elapsed: 0.006 s
% 0.20/0.56  % (25084)Instructions burned: 9 (million)
% 0.20/0.56  % (25084)------------------------------
% 0.20/0.56  % (25084)------------------------------
% 0.20/0.56  % (25100)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)
% 0.20/0.56  % (25092)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  % (25099)First to succeed.
% 0.20/0.56  % (25102)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.57  % (25099)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  % (25099)------------------------------
% 0.20/0.57  % (25099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (25099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (25099)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (25099)Memory used [KB]: 1151
% 0.20/0.57  % (25099)Time elapsed: 0.139 s
% 0.20/0.57  % (25099)Instructions burned: 10 (million)
% 0.20/0.57  % (25099)------------------------------
% 0.20/0.57  % (25099)------------------------------
% 0.20/0.57  % (25076)Success in time 0.204 s
%------------------------------------------------------------------------------