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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n017.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 18:44:19 EDT 2022

% Result   : Theorem 1.05s 0.70s
% Output   : Refutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :  125 (   2 equ)
%            Maximal formula atoms :   27 (   7 avg)
%            Number of connectives :  142 (  33   ~;  28   |;  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   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f252,plain,
    $false,
    inference(subsumption_resolution,[],[f243,f157]) ).

fof(f157,plain,
    ~ gt(loopcounter,n0),
    inference(subsumption_resolution,[],[f121,f130]) ).

fof(f130,plain,
    ~ leq(s_worst7,n3),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) )
    & ~ leq(s_worst7,n3)
    & leq(tptp_float_0_001,pv1341)
    & ( ~ gt(loopcounter,n0)
      | leq(s_best7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_sworst7) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & leq(n1,loopcounter)
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) ) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ( ~ leq(s_worst7,n3)
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) )
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv1341)
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_best7,n3) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_sworst7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7) ) ),
    inference(ennf_transformation,[],[f54]) ).

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

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

fof(f121,plain,
    ( ~ gt(loopcounter,n0)
    | leq(s_worst7,n3) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f243,plain,
    gt(loopcounter,n0),
    inference(resolution,[],[f225,f125]) ).

fof(f125,plain,
    leq(n1,loopcounter),
    inference(cnf_transformation,[],[f107]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ leq(n1,X0)
      | gt(X0,n0) ),
    inference(superposition,[],[f153,f143]) ).

fof(f143,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f84]) ).

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

fof(f153,plain,
    ! [X0,X1] :
      ( ~ leq(succ(X0),X1)
      | gt(X1,X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ 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/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWV144+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 18:27:35 EDT 2022
% 0.14/0.35  % CPUTime    : 
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% 0.20/0.53  ipcrm: permission denied for id (472121470)
% 1.05/0.68  % (17444)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 1.05/0.68  % (17447)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 1.05/0.69  % (17444)Instruction limit reached!
% 1.05/0.69  % (17444)------------------------------
% 1.05/0.69  % (17444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.05/0.69  % (17444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.05/0.69  % (17444)Termination reason: Unknown
% 1.05/0.69  % (17444)Termination phase: Saturation
% 1.05/0.69  
% 1.05/0.69  % (17444)Memory used [KB]: 1791
% 1.05/0.69  % (17444)Time elapsed: 0.008 s
% 1.05/0.69  % (17444)Instructions burned: 13 (million)
% 1.05/0.69  % (17444)------------------------------
% 1.05/0.69  % (17444)------------------------------
% 1.05/0.69  % (17470)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.05/0.69  % (17446)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.05/0.69  % (17464)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.05/0.70  % (17445)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.05/0.70  % (17445)Instruction limit reached!
% 1.05/0.70  % (17445)------------------------------
% 1.05/0.70  % (17445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.05/0.70  % (17445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.05/0.70  % (17445)Termination reason: Unknown
% 1.05/0.70  % (17445)Termination phase: Naming
% 1.05/0.70  
% 1.05/0.70  % (17445)Memory used [KB]: 1535
% 1.05/0.70  % (17445)Time elapsed: 0.003 s
% 1.05/0.70  % (17445)Instructions burned: 3 (million)
% 1.05/0.70  % (17445)------------------------------
% 1.05/0.70  % (17445)------------------------------
% 1.05/0.70  % (17453)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 1.05/0.70  % (17462)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.05/0.70  % (17447)First to succeed.
% 1.05/0.70  % (17472)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 1.05/0.70  % (17462)Instruction limit reached!
% 1.05/0.70  % (17462)------------------------------
% 1.05/0.70  % (17462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.05/0.70  % (17462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.05/0.70  % (17462)Termination reason: Unknown
% 1.05/0.70  % (17462)Termination phase: Saturation
% 1.05/0.70  
% 1.05/0.70  % (17462)Memory used [KB]: 1535
% 1.05/0.70  % (17462)Time elapsed: 0.004 s
% 1.05/0.70  % (17462)Instructions burned: 3 (million)
% 1.05/0.70  % (17462)------------------------------
% 1.05/0.70  % (17462)------------------------------
% 1.05/0.70  % (17465)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.05/0.70  % (17447)Refutation found. Thanks to Tanya!
% 1.05/0.70  % SZS status Theorem for theBenchmark
% 1.05/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 1.05/0.70  % (17447)------------------------------
% 1.05/0.70  % (17447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.05/0.70  % (17447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.05/0.70  % (17447)Termination reason: Refutation
% 1.05/0.70  
% 1.05/0.70  % (17447)Memory used [KB]: 6012
% 1.05/0.70  % (17447)Time elapsed: 0.115 s
% 1.05/0.70  % (17447)Instructions burned: 5 (million)
% 1.05/0.70  % (17447)------------------------------
% 1.05/0.70  % (17447)------------------------------
% 1.05/0.70  % (17244)Success in time 0.342 s
%------------------------------------------------------------------------------