TSTP Solution File: SWV144+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV144+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 18:55:38 EDT 2022

% Result   : Theorem 1.42s 0.56s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :  127 (   2 equ)
%            Maximal formula atoms :   27 (   7 avg)
%            Number of connectives :  144 (  34   ~;  29   |;  54   &)
%                                         (   0 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-1 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f456,plain,
    $false,
    inference(subsumption_resolution,[],[f453,f404]) ).

fof(f404,plain,
    ~ gt(loopcounter,n0),
    inference(subsumption_resolution,[],[f353,f348]) ).

fof(f348,plain,
    ~ leq(s_worst7,n3),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_sworst7,n3) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ~ leq(s_worst7,n3)
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & leq(n1,loopcounter)
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & leq(tptp_float_0_001,pv1341)
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) ) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ( ~ leq(s_worst7,n3)
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & leq(tptp_float_0_001,pv1341)
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7) )
    & leq(n1,loopcounter)
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_sworst7,n3) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( gt(loopcounter,n0)
         => leq(s_worst7,n3) )
        & leq(tptp_float_0_001,pv1341)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & leq(n1,loopcounter)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) ) )
     => leq(s_worst7,n3) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) )
      & leq(tptp_float_0_001,pv1341)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & leq(n1,loopcounter)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) ) )
   => leq(s_worst7,n3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0014) ).

fof(f353,plain,
    ( leq(s_worst7,n3)
    | ~ gt(loopcounter,n0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f453,plain,
    gt(loopcounter,n0),
    inference(resolution,[],[f448,f345]) ).

fof(f345,plain,
    leq(n1,loopcounter),
    inference(cnf_transformation,[],[f132]) ).

fof(f448,plain,
    ! [X2] :
      ( ~ leq(n1,X2)
      | gt(X2,n0) ),
    inference(superposition,[],[f279,f335]) ).

fof(f335,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,axiom,
    n1 = succ(n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).

fof(f279,plain,
    ! [X0,X1] :
      ( ~ leq(succ(X1),X0)
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ leq(succ(X1),X0)
      | gt(X0,X1) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ! [X1,X0] :
      ( ~ leq(succ(X0),X1)
      | gt(X1,X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X1,X0] :
      ( leq(succ(X0),X1)
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWV144+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 19:03:52 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  % (8375)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)
% 0.22/0.51  % (8352)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.51  % (8377)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)
% 0.22/0.51  % (8361)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.52  % (8367)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)
% 1.27/0.53  % (8369)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.27/0.53  % (8359)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)
% 1.27/0.53  % (8362)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)
% 1.27/0.54  % (8370)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)
% 1.27/0.54  % (8354)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)
% 1.27/0.55  % (8350)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)
% 1.27/0.55  % (8351)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)
% 1.27/0.55  % (8349)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)
% 1.42/0.55  % (8371)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)
% 1.42/0.55  % (8353)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)
% 1.42/0.55  % (8348)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)
% 1.42/0.55  % (8375)First to succeed.
% 1.42/0.55  % (8360)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.55  % (8368)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)
% 1.42/0.55  % (8365)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.56  % (8364)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)
% 1.42/0.56  % (8375)Refutation found. Thanks to Tanya!
% 1.42/0.56  % SZS status Theorem for theBenchmark
% 1.42/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.56  % (8375)------------------------------
% 1.42/0.56  % (8375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (8375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (8375)Termination reason: Refutation
% 1.42/0.56  
% 1.42/0.56  % (8375)Memory used [KB]: 1407
% 1.42/0.56  % (8375)Time elapsed: 0.142 s
% 1.42/0.56  % (8375)Instructions burned: 20 (million)
% 1.42/0.56  % (8375)------------------------------
% 1.42/0.56  % (8375)------------------------------
% 1.42/0.56  % (8347)Success in time 0.185 s
%------------------------------------------------------------------------------