TSTP Solution File: NUM843+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM843+2 : TPTP v8.1.0. Released v4.1.0.
% 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 18:02:33 EDT 2022

% Result   : Theorem 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   39 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (   8   ~;  16   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f414,plain,
    $false,
    inference(subsumption_resolution,[],[f410,f173]) ).

fof(f173,plain,
    ~ greater(vd390,vd391),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ greater(vd390,vd391),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vd390,vd391),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vd390,vd391),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(244, 394, 0)') ).

fof(f410,plain,
    greater(vd390,vd391),
    inference(resolution,[],[f302,f148]) ).

fof(f148,plain,
    ~ leq(vd390,vd391),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ~ leq(vd390,vd391),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(243), 393, 0)') ).

fof(f302,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | greater(X0,X1) ),
    inference(subsumption_resolution,[],[f293,f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X1,X0] :
      ( ( less(X0,X1)
        | X0 = X1 )
    <=> leq(X0,X1) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X37,X36] :
      ( leq(X37,X36)
    <=> ( X36 = X37
        | less(X37,X36) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).

fof(f293,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | leq(X0,X1) ),
    inference(resolution,[],[f208,f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ sQ4_eqProxy(X0,X1)
      | leq(X0,X1) ),
    inference(equality_proxy_replacement,[],[f129,f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( sQ4_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( sQ4_eqProxy(X0,X1)
      | greater(X0,X1)
      | less(X0,X1) ),
    inference(equality_proxy_replacement,[],[f164,f182]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | X0 = X1
      | greater(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | X0 = X1
      | less(X0,X1) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X44,X45] :
      ( greater(X44,X45)
      | X44 = X45
      | less(X44,X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM843+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 08:25:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.51  % (517)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)
% 0.21/0.52  % (525)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52  % (531)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)
% 0.21/0.52  % (525)Refutation not found, incomplete strategy% (525)------------------------------
% 0.21/0.52  % (525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (525)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (525)Memory used [KB]: 1535
% 0.21/0.52  % (525)Time elapsed: 0.107 s
% 0.21/0.52  % (525)Instructions burned: 4 (million)
% 0.21/0.52  % (525)------------------------------
% 0.21/0.52  % (525)------------------------------
% 0.21/0.52  % (541)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 (2999ds/8Mi)
% 0.21/0.52  % (533)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 (2999ds/30Mi)
% 0.21/0.52  % (516)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)
% 0.21/0.52  % (513)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.52  % (519)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)
% 0.21/0.53  % (541)Refutation not found, incomplete strategy% (541)------------------------------
% 0.21/0.53  % (541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (541)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (541)Memory used [KB]: 6012
% 0.21/0.53  % (541)Time elapsed: 0.119 s
% 0.21/0.53  % (541)Instructions burned: 4 (million)
% 0.21/0.53  % (541)------------------------------
% 0.21/0.53  % (541)------------------------------
% 0.21/0.53  % (532)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.53  % (515)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)
% 0.21/0.53  % (515)Instruction limit reached!
% 0.21/0.53  % (515)------------------------------
% 0.21/0.53  % (515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (515)Termination reason: Unknown
% 0.21/0.53  % (515)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (515)Memory used [KB]: 1535
% 0.21/0.53  % (515)Time elapsed: 0.003 s
% 0.21/0.53  % (515)Instructions burned: 3 (million)
% 0.21/0.53  % (515)------------------------------
% 0.21/0.53  % (515)------------------------------
% 0.21/0.53  % (530)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53  % (530)Instruction limit reached!
% 0.21/0.53  % (530)------------------------------
% 0.21/0.53  % (530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (531)Instruction limit reached!
% 0.21/0.53  % (531)------------------------------
% 0.21/0.53  % (531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (531)Termination reason: Unknown
% 0.21/0.53  % (530)Termination reason: Unknown
% 0.21/0.53  % (531)Termination phase: Property scanning
% 0.21/0.53  
% 0.21/0.53  % (530)Termination phase: Finite model building preprocessing
% 0.21/0.53  
% 0.21/0.53  % (531)Memory used [KB]: 1535
% 0.21/0.53  % (530)Memory used [KB]: 1535
% 0.21/0.53  % (531)Time elapsed: 0.004 s
% 0.21/0.53  % (530)Time elapsed: 0.003 s
% 0.21/0.53  % (531)Instructions burned: 3 (million)
% 0.21/0.53  % (530)Instructions burned: 4 (million)
% 0.21/0.53  % (531)------------------------------
% 0.21/0.53  % (531)------------------------------
% 0.21/0.53  % (530)------------------------------
% 0.21/0.53  % (530)------------------------------
% 0.21/0.53  % (534)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)
% 0.21/0.53  % (535)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)
% 0.21/0.53  % (539)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)
% 0.21/0.54  % (540)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)
% 0.21/0.54  % (533)First to succeed.
% 0.21/0.54  % (533)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Theorem for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (533)------------------------------
% 0.21/0.54  % (533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (533)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (533)Memory used [KB]: 6140
% 0.21/0.54  % (533)Time elapsed: 0.129 s
% 0.21/0.54  % (533)Instructions burned: 10 (million)
% 0.21/0.54  % (533)------------------------------
% 0.21/0.54  % (533)------------------------------
% 0.21/0.54  % (512)Success in time 0.189 s
%------------------------------------------------------------------------------