TSTP Solution File: SWV136+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV136+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 : n010.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 18:44:18 EDT 2022

% Result   : Theorem 1.30s 0.52s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   72 (   5 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   56 (  10   ~;   6   |;  34   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f209,plain,
    $false,
    inference(subsumption_resolution,[],[f208,f122]) ).

fof(f122,plain,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( leq(s_worst7,n3)
    & leq(n2,pv1325)
    & leq(n0,s_worst7)
    & leq(n0,s_best7)
    & leq(s_best7,n3)
    & leq(pv1325,n3)
    & ~ leq(n0,pv1325)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & leq(n0,s_sworst7)
    & leq(s_sworst7,n3) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ( ~ leq(n0,pv1325)
    & leq(s_sworst7,n3)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & leq(n2,pv1325)
    & leq(pv1325,n3)
    & leq(n0,s_sworst7)
    & leq(s_worst7,n3)
    & leq(n0,s_best7)
    & leq(s_best7,n3)
    & leq(n0,s_worst7) ),
    inference(ennf_transformation,[],[f54]) ).

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

fof(f53,conjecture,
    ( ( leq(s_sworst7,n3)
      & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
      & leq(n2,pv1325)
      & leq(pv1325,n3)
      & leq(n0,s_sworst7)
      & leq(s_worst7,n3)
      & leq(n0,s_best7)
      & leq(s_best7,n3)
      & leq(n0,s_worst7) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0006) ).

fof(f208,plain,
    leq(n0,pv1325),
    inference(resolution,[],[f202,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | leq(X1,X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ gt(X0,X1) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,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/sandbox/benchmark/theBenchmark.p',leq_gt1) ).

fof(f202,plain,
    gt(pv1325,n0),
    inference(resolution,[],[f201,f169]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ leq(n1,X0)
      | gt(X0,n0) ),
    inference(superposition,[],[f117,f114]) ).

fof(f114,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f84]) ).

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

fof(f117,plain,
    ! [X0,X1] :
      ( ~ leq(succ(X1),X0)
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | ~ leq(succ(X1),X0) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X1,X0] :
      ( leq(succ(X1),X0)
     => gt(X0,X1) ),
    inference(rectify,[],[f43]) ).

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

fof(f201,plain,
    leq(n1,pv1325),
    inference(resolution,[],[f193,f118]) ).

fof(f193,plain,
    gt(pv1325,n1),
    inference(resolution,[],[f170,f127]) ).

fof(f127,plain,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f98]) ).

fof(f170,plain,
    ! [X1] :
      ( ~ leq(n2,X1)
      | gt(X1,n1) ),
    inference(superposition,[],[f117,f152]) ).

fof(f152,plain,
    n2 = succ(n1),
    inference(forward_demodulation,[],[f147,f114]) ).

fof(f147,plain,
    n2 = succ(succ(n0)),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,axiom,
    n2 = succ(succ(n0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWV136+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:55:44 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.50  % (17226)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.50  % (17225)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 (2999ds/33Mi)
% 0.18/0.51  % (17234)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 (2999ds/2Mi)
% 0.18/0.51  % (17234)Instruction limit reached!
% 0.18/0.51  % (17234)------------------------------
% 0.18/0.51  % (17234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (17234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (17234)Termination reason: Unknown
% 0.18/0.51  % (17234)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (17234)Memory used [KB]: 1535
% 0.18/0.51  % (17234)Time elapsed: 0.004 s
% 0.18/0.51  % (17234)Instructions burned: 2 (million)
% 0.18/0.51  % (17234)------------------------------
% 0.18/0.51  % (17234)------------------------------
% 0.18/0.51  % (17233)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.51  % (17218)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 (2999ds/3Mi)
% 1.30/0.51  % (17245)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.30/0.51  % (17218)Instruction limit reached!
% 1.30/0.51  % (17218)------------------------------
% 1.30/0.51  % (17218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51  % (17218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51  % (17218)Termination reason: Unknown
% 1.30/0.51  % (17218)Termination phase: Preprocessing 3
% 1.30/0.51  
% 1.30/0.51  % (17218)Memory used [KB]: 1535
% 1.30/0.51  % (17218)Time elapsed: 0.003 s
% 1.30/0.51  % (17218)Instructions burned: 4 (million)
% 1.30/0.51  % (17218)------------------------------
% 1.30/0.51  % (17218)------------------------------
% 1.30/0.51  % (17219)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 (2999ds/51Mi)
% 1.30/0.51  % (17222)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.30/0.51  % (17242)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 (2999ds/99Mi)
% 1.30/0.52  % (17243)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.30/0.52  % (17222)First to succeed.
% 1.30/0.52  % (17229)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.52  % (17230)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.52  % (17220)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.30/0.52  % (17237)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 (2999ds/99Mi)
% 1.30/0.52  % (17230)Instruction limit reached!
% 1.30/0.52  % (17230)------------------------------
% 1.30/0.52  % (17230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (17230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (17230)Termination reason: Unknown
% 1.30/0.52  % (17230)Termination phase: Preprocessing 3
% 1.30/0.52  
% 1.30/0.52  % (17230)Memory used [KB]: 1663
% 1.30/0.52  % (17230)Time elapsed: 0.003 s
% 1.30/0.52  % (17230)Instructions burned: 4 (million)
% 1.30/0.52  % (17230)------------------------------
% 1.30/0.52  % (17230)------------------------------
% 1.30/0.52  % (17225)Also succeeded, but the first one will report.
% 1.30/0.52  % (17238)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.30/0.52  % (17222)Refutation found. Thanks to Tanya!
% 1.30/0.52  % SZS status Theorem for theBenchmark
% 1.30/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.52  % (17222)------------------------------
% 1.30/0.52  % (17222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (17222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (17222)Termination reason: Refutation
% 1.30/0.52  
% 1.30/0.52  % (17222)Memory used [KB]: 6012
% 1.30/0.52  % (17222)Time elapsed: 0.090 s
% 1.30/0.52  % (17222)Instructions burned: 4 (million)
% 1.30/0.52  % (17222)------------------------------
% 1.30/0.52  % (17222)------------------------------
% 1.30/0.52  % (17215)Success in time 0.181 s
%------------------------------------------------------------------------------