TSTP Solution File: NUM837+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM837+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_sat --cores 0 -t %d %s

% Computer : n015.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 18:06:54 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   28 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  10   ~;   7   |;   3   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  19   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f157,plain,
    $false,
    inference(subsumption_resolution,[],[f154,f99]) ).

fof(f99,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] : vd269 = vplus(vd268,X0),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] : vd269 = vplus(vd268,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(171)') ).

fof(f154,plain,
    vd269 = vplus(vd268,sK0(vd269,vd268)),
    inference(resolution,[],[f80,f100]) ).

fof(f100,plain,
    less(vd268,vd269),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    less(vd268,vd269),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | vplus(X1,sK0(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( vplus(X1,sK0(X0,X1)) = X0
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | ! [X3] : vplus(X1,X3) != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f57,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X1,X2) = X0
     => vplus(X1,sK0(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ( ? [X2] : vplus(X1,X2) = X0
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | ! [X3] : vplus(X1,X3) != X0 ) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ( ? [X2] : vplus(X1,X2) = X0
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X1,X2) = X0
    <=> less(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X15,X16] :
      ( less(X16,X15)
    <=> ? [X17] : vplus(X16,X17) = X15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM837+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n015.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 09:11:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (25943)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)
% 0.19/0.50  % (25951)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)
% 0.19/0.51  % (25935)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (25935)Instruction limit reached!
% 0.19/0.51  % (25935)------------------------------
% 0.19/0.51  % (25935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (25935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (25935)Termination reason: Unknown
% 0.19/0.51  % (25935)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (25935)Memory used [KB]: 895
% 0.19/0.51  % (25935)Time elapsed: 0.002 s
% 0.19/0.51  % (25935)Instructions burned: 3 (million)
% 0.19/0.51  % (25935)------------------------------
% 0.19/0.51  % (25935)------------------------------
% 0.19/0.51  % (25930)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)
% 0.19/0.51  % (25956)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51  % (25934)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (25943)First to succeed.
% 0.19/0.51  % (25937)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (25943)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (25943)------------------------------
% 0.19/0.52  % (25943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25943)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (25943)Memory used [KB]: 1023
% 0.19/0.52  % (25943)Time elapsed: 0.058 s
% 0.19/0.52  % (25943)Instructions burned: 4 (million)
% 0.19/0.52  % (25943)------------------------------
% 0.19/0.52  % (25943)------------------------------
% 0.19/0.52  % (25924)Success in time 0.171 s
%------------------------------------------------------------------------------