TSTP Solution File: SWW180+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW180+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n032.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 : Mon Jun 24 18:47:56 EDT 2024

% Result   : Theorem 32.58s 5.04s
% Output   : Refutation 32.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   57 (  22 unt;   0 def)
%            Number of atoms       :  118 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  110 (  49   ~;  37   |;   4   &)
%                                         (   4 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :  102 ( 102   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f62620,plain,
    $false,
    inference(subsumption_resolution,[],[f62619,f3502]) ).

fof(f3502,plain,
    class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1118]) ).

fof(f1118,axiom,
    class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f62619,plain,
    ~ class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
    inference(subsumption_resolution,[],[f62618,f5890]) ).

fof(f5890,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),
    inference(resolution,[],[f4285,f3684]) ).

fof(f3684,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
    inference(cnf_transformation,[],[f1285]) ).

fof(f1285,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
    inference(rectify,[],[f199]) ).

fof(f199,axiom,
    ! [X26] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X26,X26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4285,plain,
    ! [X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f1758]) ).

fof(f1758,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ) ),
    inference(rectify,[],[f534]) ).

fof(f534,axiom,
    ! [X61,X12] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X12),X61)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X61)
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X61),X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f62618,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
    | ~ class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(subsumption_resolution,[],[f62607,f24575]) ).

fof(f24575,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)),
    inference(superposition,[],[f7514,f7338]) ).

fof(f7338,plain,
    ! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),
    inference(resolution,[],[f4635,f3632]) ).

fof(f3632,plain,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1144]) ).

fof(f1144,axiom,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4635,plain,
    ! [X2,X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__1(X2)
      | c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
    inference(cnf_transformation,[],[f2942]) ).

fof(f2942,plain,
    ! [X0,X1,X2] :
      ( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
      | ~ class_Rings_Ocomm__semiring__1(X2) ),
    inference(ennf_transformation,[],[f1976]) ).

fof(f1976,plain,
    ! [X0,X1,X2] :
      ( class_Rings_Ocomm__semiring__1(X2)
     => c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
    inference(rectify,[],[f156]) ).

fof(f156,axiom,
    ! [X14,X8,X5] :
      ( class_Rings_Ocomm__semiring__1(X5)
     => c_Groups_Oplus__class_Oplus(X5,X14,X8) = c_Groups_Oplus__class_Oplus(X5,X8,X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7514,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(subsumption_resolution,[],[f7511,f3534]) ).

fof(f3534,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1151]) ).

fof(f1151,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7511,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
      | ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
    inference(resolution,[],[f6429,f4543]) ).

fof(f4543,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(cnf_transformation,[],[f2847]) ).

fof(f2847,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(flattening,[],[f2846]) ).

fof(f2846,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f1913]) ).

fof(f1913,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( c_Orderings_Oord__class_Oless(X2,X0,X1)
        | c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ),
    inference(rectify,[],[f69]) ).

fof(f69,axiom,
    ! [X3,X4,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless(X5,X3,X4)
        | c_Orderings_Oord__class_Oless__eq(X5,X4,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6429,plain,
    ! [X0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0),
    inference(subsumption_resolution,[],[f6413,f3544]) ).

fof(f3544,plain,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1134]) ).

fof(f1134,axiom,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6413,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)
      | ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
    inference(resolution,[],[f6001,f4061]) ).

fof(f4061,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1)))
      | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(cnf_transformation,[],[f2519]) ).

fof(f2519,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1)))
      | ~ class_Rings_Olinordered__semidom(X1) ),
    inference(ennf_transformation,[],[f1587]) ).

fof(f1587,plain,
    ! [X0,X1] :
      ( class_Rings_Olinordered__semidom(X1)
     => c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1))) ),
    inference(rectify,[],[f265]) ).

fof(f265,axiom,
    ! [X8,X5] :
      ( class_Rings_Olinordered__semidom(X5)
     => c_Orderings_Oord__class_Oless(X5,X8,c_Groups_Oplus__class_Oplus(X5,X8,c_Groups_Oone__class_Oone(X5))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6001,plain,
    ! [X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(subsumption_resolution,[],[f5958,f3534]) ).

fof(f5958,plain,
    ! [X0,X1] :
      ( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(resolution,[],[f4554,f4240]) ).

fof(f4240,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f1740]) ).

fof(f1740,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
    <=> ( X0 != X1
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(rectify,[],[f216]) ).

fof(f216,axiom,
    ! [X11,X12] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X12,X11)
    <=> ( X11 != X12
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X11) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4554,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2)
      | ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ),
    inference(cnf_transformation,[],[f2865]) ).

fof(f2865,plain,
    ! [X0,X1,X2] :
      ( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(flattening,[],[f2864]) ).

fof(f2864,plain,
    ! [X0,X1,X2] :
      ( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f1922]) ).

fof(f1922,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
       => ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
    inference(rectify,[],[f60]) ).

fof(f60,axiom,
    ! [X4,X3,X5] :
      ( class_Orderings_Olinorder(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X3,X4)
       => ~ c_Orderings_Oord__class_Oless(X5,X4,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f62607,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
    | ~ class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(resolution,[],[f3444,f5047]) ).

fof(f5047,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
      | ~ class_Groups_Oordered__ab__semigroup__add(X4) ),
    inference(cnf_transformation,[],[f3374]) ).

fof(f3374,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
      | ~ class_Groups_Oordered__ab__semigroup__add(X4) ),
    inference(flattening,[],[f3373]) ).

fof(f3373,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
      | ~ class_Groups_Oordered__ab__semigroup__add(X4) ),
    inference(ennf_transformation,[],[f2273]) ).

fof(f2273,plain,
    ! [X0,X1,X2,X3,X4] :
      ( class_Groups_Oordered__ab__semigroup__add(X4)
     => ( c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
       => ( c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
         => c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0)) ) ) ),
    inference(rectify,[],[f161]) ).

fof(f161,axiom,
    ! [X16,X14,X7,X8,X5] :
      ( class_Groups_Oordered__ab__semigroup__add(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X8,X7)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X16)
         => c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X8,X14),c_Groups_Oplus__class_Oplus(X5,X7,X16)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3444,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    inference(cnf_transformation,[],[f1277]) ).

fof(f1277,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    inference(flattening,[],[f1276]) ).

fof(f1276,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    inference(negated_conjecture,[],[f1275]) ).

fof(f1275,conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem    : SWW180+1 : TPTP v8.2.0. Released v5.2.0.
% 0.02/0.08  % Command    : run_vampire %s %d SAT
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Wed Jun 19 07:39:09 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.08/0.30  Running first-order model finding
% 0.08/0.30  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (19592)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.14/0.38  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (19587)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.14/0.38  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (19591)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.14/0.38  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (19593)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.14/0.38  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (19589)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.14/0.38  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (19590)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.14/0.40  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40  % (19588)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.14/0.41  % (19591)Instruction limit reached!
% 0.14/0.41  % (19591)------------------------------
% 0.14/0.41  % (19591)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.14/0.41  % (19591)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.14/0.41  % (19591)Termination reason: Time limit
% 0.14/0.41  % (19591)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (19591)Memory used [KB]: 3725
% 0.14/0.41  % (19591)Time elapsed: 0.033 s
% 0.14/0.41  % (19591)Instructions burned: 104 (million)
% 0.14/0.41  % (19593)Instruction limit reached!
% 0.14/0.41  % (19593)------------------------------
% 0.14/0.41  % (19593)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.14/0.41  % (19593)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.14/0.41  % (19593)Termination reason: Time limit
% 0.14/0.41  % (19593)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (19593)Memory used [KB]: 3750
% 0.14/0.41  % (19593)Time elapsed: 0.034 s
% 0.14/0.41  % (19593)Instructions burned: 117 (million)
% 0.14/0.42  % (19592)Instruction limit reached!
% 0.14/0.42  % (19592)------------------------------
% 0.14/0.42  % (19592)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.14/0.42  % (19592)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.14/0.42  % (19592)Termination reason: Time limit
% 0.14/0.42  % (19592)Termination phase: Saturation
% 0.14/0.42  
% 0.14/0.42  % (19592)Memory used [KB]: 3993
% 0.14/0.42  % (19592)Time elapsed: 0.045 s
% 0.14/0.42  % (19592)Instructions burned: 146 (million)
% 0.14/0.45  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.45  % (19624)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.14/0.45  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.45  % (19625)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.14/0.46  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.46  % (19626)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.14/0.50  % (19625)Instruction limit reached!
% 0.14/0.50  % (19625)------------------------------
% 0.14/0.50  % (19625)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.14/0.50  % (19625)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.14/0.50  % (19625)Termination reason: Time limit
% 0.14/0.50  % (19625)Termination phase: Saturation
% 0.14/0.50  
% 0.14/0.50  % (19625)Memory used [KB]: 4503
% 0.14/0.50  % (19625)Time elapsed: 0.054 s
% 0.14/0.50  % (19625)Instructions burned: 175 (million)
% 0.14/0.54  % (19548)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.54  % (19645)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 0.14/0.54  Cannot represent all propositional literals internally
% 0.14/0.54  % (19590)Refutation not found, incomplete strategy% (19590)------------------------------
% 0.14/0.54  % (19590)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.14/0.54  % (19590)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.14/0.54  % (19590)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.54  
% 0.14/0.54  % (19590)Memory used [KB]: 12601
% 0.14/0.54  % (19590)Time elapsed: 0.165 s
% 0.14/0.54  % (19590)Instructions burned: 585 (million)
% 0.14/0.55  % (19590)------------------------------
% 0.14/0.55  % (19590)------------------------------
% 0.14/0.55  % (19626)Instruction limit reached!
% 0.14/0.55  % (19626)------------------------------
% 0.14/0.55  % (19626)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.14/0.55  % (19626)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.14/0.55  % (19626)Termination reason: Time limit
% 0.14/0.55  % (19626)Termination phase: Saturation
% 0.14/0.55  
% 0.14/0.55  % (19626)Memory used [KB]: 6222
% 0.14/0.55  % (19626)Time elapsed: 0.092 s
% 0.14/0.55  % (19626)Instructions burned: 272 (million)
% 1.59/0.57  TRYING [1]
% 1.69/0.58  % (19548)Running in auto input_syntax mode. Trying TPTP
% 1.69/0.58  % (19659)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.69/0.58  % (19548)Running in auto input_syntax mode. Trying TPTP
% 1.69/0.58  % (19660)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 1.69/0.59  TRYING [2]
% 1.69/0.60  % (19624)Instruction limit reached!
% 1.69/0.60  % (19624)------------------------------
% 1.69/0.60  % (19624)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.69/0.60  % (19624)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.69/0.60  % (19624)Termination reason: Time limit
% 1.69/0.60  % (19624)Termination phase: Saturation
% 1.69/0.60  
% 1.69/0.60  % (19624)Memory used [KB]: 6101
% 1.69/0.60  % (19624)Time elapsed: 0.155 s
% 1.69/0.60  % (19624)Instructions burned: 404 (million)
% 2.00/0.64  % (19548)Running in auto input_syntax mode. Trying TPTP
% 2.00/0.64  % (19691)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2997ds/1187Mi)
% 2.59/0.72  TRYING [1]
% 2.59/0.74  TRYING [2]
% 3.39/0.85  % (19645)Instruction limit reached!
% 3.39/0.85  % (19645)------------------------------
% 3.39/0.85  % (19645)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.39/0.85  % (19645)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.39/0.85  % (19645)Termination reason: Time limit
% 3.39/0.85  % (19645)Termination phase: Saturation
% 3.39/0.85  
% 3.39/0.85  % (19645)Memory used [KB]: 10652
% 3.39/0.85  % (19645)Time elapsed: 0.316 s
% 3.39/0.85  % (19645)Instructions burned: 901 (million)
% 3.52/0.89  % (19548)Running in auto input_syntax mode. Trying TPTP
% 3.52/0.89  % (19704)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2994ds/23580Mi)
% 4.23/1.05  TRYING [1]
% 4.23/1.05  TRYING [3]
% 4.23/1.07  TRYING [2]
% 4.23/1.07  % (19691)Instruction limit reached!
% 4.23/1.07  % (19691)------------------------------
% 4.23/1.07  % (19691)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.23/1.07  % (19691)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.23/1.07  % (19691)Termination reason: Time limit
% 4.23/1.07  % (19691)Termination phase: Saturation
% 4.23/1.07  
% 4.23/1.07  % (19691)Memory used [KB]: 8056
% 4.23/1.07  % (19691)Time elapsed: 0.436 s
% 4.23/1.07  % (19691)Instructions burned: 1189 (million)
% 4.23/1.08  TRYING [3]
% 5.23/1.11  % (19548)Running in auto input_syntax mode. Trying TPTP
% 5.23/1.11  % (19705)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2992ds/2892Mi)
% 7.00/1.41  % (19660)Instruction limit reached!
% 7.00/1.41  % (19660)------------------------------
% 7.00/1.41  % (19660)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.00/1.41  % (19660)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.00/1.41  % (19660)Termination reason: Time limit
% 7.00/1.41  % (19660)Termination phase: Saturation
% 7.00/1.41  
% 7.00/1.41  % (19660)Memory used [KB]: 32692
% 7.00/1.41  % (19660)Time elapsed: 0.833 s
% 7.00/1.41  % (19660)Instructions burned: 2147 (million)
% 7.00/1.45  % (19548)Running in auto input_syntax mode. Trying TPTP
% 7.00/1.45  % (19706)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2989ds/1693Mi)
% 7.63/1.51  TRYING [3]
% 9.46/1.73  % (19705)Instruction limit reached!
% 9.46/1.73  % (19705)------------------------------
% 9.46/1.73  % (19705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.46/1.73  % (19705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.46/1.73  % (19705)Termination reason: Time limit
% 9.46/1.73  % (19705)Termination phase: Finite model building constraint generation
% 9.46/1.73  
% 9.46/1.73  % (19705)Memory used [KB]: 12996
% 9.46/1.73  % (19705)Time elapsed: 0.622 s
% 9.46/1.73  % (19705)Instructions burned: 2897 (million)
% 10.06/1.78  % (19548)Running in auto input_syntax mode. Trying TPTP
% 10.06/1.78  % (19707)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2986ds/1735Mi)
% 11.33/2.05  % (19706)Instruction limit reached!
% 11.33/2.05  % (19706)------------------------------
% 11.33/2.05  % (19706)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.33/2.05  % (19706)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.33/2.05  % (19706)Termination reason: Time limit
% 11.33/2.05  % (19706)Termination phase: Saturation
% 11.33/2.05  
% 11.33/2.05  % (19706)Memory used [KB]: 11495
% 11.33/2.05  % (19706)Time elapsed: 0.599 s
% 11.33/2.05  % (19706)Instructions burned: 1695 (million)
% 11.84/2.08  % (19548)Running in auto input_syntax mode. Trying TPTP
% 11.84/2.08  % (19708)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2983ds/131798Mi)
% 13.75/2.35  TRYING [4,4,4,4]
% 14.46/2.41  % (19707)Instruction limit reached!
% 14.46/2.41  % (19707)------------------------------
% 14.46/2.41  % (19707)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.46/2.41  % (19707)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.46/2.41  % (19707)Termination reason: Time limit
% 14.46/2.41  % (19707)Termination phase: Saturation
% 14.46/2.41  
% 14.46/2.41  % (19707)Memory used [KB]: 21768
% 14.46/2.41  % (19707)Time elapsed: 0.634 s
% 14.46/2.41  % (19707)Instructions burned: 1736 (million)
% 14.64/2.45  % (19548)Running in auto input_syntax mode. Trying TPTP
% 14.64/2.45  % (19709)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2979ds/3451Mi)
% 14.64/2.49  % (19659)Instruction limit reached!
% 14.64/2.49  % (19659)------------------------------
% 14.64/2.49  % (19659)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.64/2.49  % (19659)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.64/2.49  % (19659)Termination reason: Time limit
% 14.64/2.49  % (19659)Termination phase: Finite model building SAT solving
% 14.64/2.49  
% 14.64/2.49  % (19659)Memory used [KB]: 53278
% 14.64/2.49  % (19659)Time elapsed: 1.911 s
% 14.64/2.49  % (19659)Instructions burned: 7864 (million)
% 15.22/2.53  % (19548)Running in auto input_syntax mode. Trying TPTP
% 15.22/2.53  % (19710)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2978ds/3978Mi)
% 17.95/2.89  TRYING [4]
% 19.63/3.16  % (19709)Instruction limit reached!
% 19.63/3.16  % (19709)------------------------------
% 19.63/3.16  % (19709)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.63/3.16  % (19709)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.63/3.16  % (19709)Termination reason: Time limit
% 19.63/3.16  % (19709)Termination phase: Finite model building constraint generation
% 19.63/3.16  
% 19.63/3.16  % (19709)Memory used [KB]: 12949
% 19.63/3.16  % (19709)Time elapsed: 0.709 s
% 19.63/3.16  % (19709)Instructions burned: 3451 (million)
% 20.04/3.21  % (19548)Running in auto input_syntax mode. Trying TPTP
% 20.04/3.21  % (19711)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2971ds/33091Mi)
% 20.60/3.30  TRYING [4]
% 25.39/3.96  % (19710)Instruction limit reached!
% 25.39/3.96  % (19710)------------------------------
% 25.39/3.96  % (19710)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.39/3.96  % (19710)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.39/3.96  % (19710)Termination reason: Time limit
% 25.39/3.96  % (19710)Termination phase: Saturation
% 25.39/3.96  
% 25.39/3.96  % (19710)Memory used [KB]: 30555
% 25.39/3.96  % (19710)Time elapsed: 1.433 s
% 25.39/3.96  % (19710)Instructions burned: 3978 (million)
% 25.39/4.00  % (19548)Running in auto input_syntax mode. Trying TPTP
% 25.39/4.00  % (19712)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2963ds/9564Mi)
% 32.58/5.03  % (19712)First to succeed.
% 32.58/5.03  % (19712)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19548"
% 32.58/5.04  % (19548)Running in auto input_syntax mode. Trying TPTP
% 32.58/5.04  % (19712)Refutation found. Thanks to Tanya!
% 32.58/5.04  % SZS status Theorem for theBenchmark
% 32.58/5.04  % SZS output start Proof for theBenchmark
% See solution above
% 32.58/5.04  % (19712)------------------------------
% 32.58/5.04  % (19712)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 32.58/5.04  % (19712)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 32.58/5.04  % (19712)Termination reason: Refutation
% 32.58/5.04  
% 32.58/5.04  % (19712)Memory used [KB]: 18494
% 32.58/5.04  % (19712)Time elapsed: 1.034 s
% 32.58/5.04  % (19712)Instructions burned: 3236 (million)
% 32.58/5.04  % (19712)------------------------------
% 32.58/5.04  % (19712)------------------------------
% 32.58/5.04  % (19548)Success in time 4.679 s
%------------------------------------------------------------------------------