TSTP Solution File: NUM850+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM850+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Tue Apr 30 14:37:53 EDT 2024

% Result   : Theorem 0.16s 0.39s
% Output   : Refutation 0.16s
% 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(f1445,plain,
    $false,
    inference(subsumption_resolution,[],[f1427,f149]) ).

fof(f149,plain,
    ! [X0] : vd470 != vplus(vd471,X0),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] : vd470 != vplus(vd471,X0),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] : vd470 = vplus(vd471,X0),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] : vd470 = vplus(vd471,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(conseq_conjunct1(conseq(302)))') ).

fof(f1427,plain,
    vd470 = vplus(vd471,sK3(vd471,vd470)),
    inference(resolution,[],[f192,f150]) ).

fof(f150,plain,
    greater(vd470,vd471),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    greater(vd470,vd471),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(302), 472, 0)') ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | vplus(X0,sK3(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( vplus(X0,sK3(X0,X1)) = X1
        | ~ greater(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f146,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X0,X3) = X1
     => vplus(X0,sK3(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X3] : vplus(X0,X3) = X1
        | ~ greater(X1,X0) ) ),
    inference(rectify,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ~ greater(X1,X0) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
    <=> ? [X2] : vplus(X0,X2) = X1 ),
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X65,X66] :
      ( greater(X66,X65)
    <=> ? [X67] : vplus(X65,X67) = X66 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NUM850+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Apr 29 23:15:13 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (6922)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35  % (6925)WARNING: value z3 for option sas not known
% 0.11/0.35  % (6925)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.37  % (6928)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.38  % (6926)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38  % (6929)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.38  % (6923)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39  % (6924)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  % (6925)First to succeed.
% 0.16/0.39  % (6925)Refutation found. Thanks to Tanya!
% 0.16/0.39  % SZS status Theorem for theBenchmark
% 0.16/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39  % (6925)------------------------------
% 0.16/0.39  % (6925)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.39  % (6925)Termination reason: Refutation
% 0.16/0.39  
% 0.16/0.39  % (6925)Memory used [KB]: 1371
% 0.16/0.39  % (6925)Time elapsed: 0.037 s
% 0.16/0.39  % (6925)Instructions burned: 64 (million)
% 0.16/0.39  % (6925)------------------------------
% 0.16/0.39  % (6925)------------------------------
% 0.16/0.39  % (6922)Success in time 0.056 s
% 0.16/0.39  6926 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.39  % (6926)------------------------------
% 0.16/0.39  % (6926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.39  % (6926)Termination reason: Unknown
% 0.16/0.39  % (6926)Termination phase: Finite model building SAT solving
% 0.16/0.39  
% 0.16/0.39  % (6926)Memory used [KB]: 949
% 0.16/0.39  % (6926)Time elapsed: 0.036 s
% 0.16/0.39  % (6926)Instructions burned: 12 (million)
% 0.16/0.39  % (6926)------------------------------
% 0.16/0.39  % (6926)------------------------------
% 0.16/0.39  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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%------------------------------------------------------------------------------