↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP622+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:18:15 AM UTC 2026

% Result   : Theorem 32.30s 8.28s
% Output   : Refutation 32.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   92 (  21 unt;   3 def)
%            Number of atoms       :  292 (  11 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  328 ( 128   ~; 138   |;  45   &)
%                                         (   5 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  140 ( 136   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v1_group_1(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_autgroup) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v1_group_1(X0)
          & v3_group_1(X0)
          & v4_group_1(X0)
          & l1_group_1(X0) )
       => r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
    <=> ! [X2] :
          ( r2_hidden(X2,X0)
         => r2_hidden(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f20,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v1_group_1(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).

fof(f21,axiom,
    ! [X0] :
      ( l1_group_1(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).

fof(f26,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & m1_fraenkel(X2,X0,X1) )
     => ! [X3] :
          ( m2_fraenkel(X3,X0,X1,X2)
         => ( v1_funct_1(X3)
            & v1_funct_2(X3,X0,X1)
            & m2_relset_1(X3,X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).

fof(f40,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0) )
     => ~ v1_xboole_0(u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f58,axiom,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
     => k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).

fof(f59,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & m1_fraenkel(X2,X0,X1) )
     => ! [X3] :
          ( m2_fraenkel(X3,X0,X1,X2)
        <=> m1_subset_1(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).

fof(f62,axiom,
    ! [X0,X1] :
      ( ( v1_funct_1(X1)
        & v1_funct_2(X1,X0,X0)
        & m2_relset_1(X1,X0,X0) )
     => r2_hidden(X1,k1_funct_2(X0,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_funct_2) ).

fof(f63,axiom,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
     => m1_subset_1(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).

fof(f77,plain,
    ? [X0] :
      ( ~ r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
      & ~ v3_struct_0(X0)
      & v1_group_1(X0)
      & v3_group_1(X0)
      & v4_group_1(X0)
      & l1_group_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f78,plain,
    ? [X0] :
      ( ~ r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
      & ~ v3_struct_0(X0)
      & v1_group_1(X0)
      & v3_group_1(X0)
      & v4_group_1(X0)
      & l1_group_1(X0) ),
    inference(flattening,[],[f77]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
    <=> ! [X2] :
          ( r2_hidden(X2,X1)
          | ~ r2_hidden(X2,X0) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f99,plain,
    ! [X0] :
      ( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f100,plain,
    ! [X0] :
      ( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f99]) ).

fof(f101,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( v1_funct_1(X3)
            & v1_funct_2(X3,X0,X1)
            & m2_relset_1(X3,X0,X1) )
          | ~ m2_fraenkel(X3,X0,X1,X2) )
      | v1_xboole_0(X1)
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( v1_funct_1(X3)
            & v1_funct_2(X3,X0,X1)
            & m2_relset_1(X3,X0,X1) )
          | ~ m2_fraenkel(X3,X0,X1,X2) )
      | v1_xboole_0(X1)
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(flattening,[],[f103]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(flattening,[],[f112]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
      | v1_xboole_0(X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( m2_fraenkel(X3,X0,X1,X2)
        <=> m1_subset_1(X3,X2) )
      | v1_xboole_0(X1)
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( m2_fraenkel(X3,X0,X1,X2)
        <=> m1_subset_1(X3,X2) )
      | v1_xboole_0(X1)
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(flattening,[],[f119]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( r2_hidden(X1,k1_funct_2(X0,X0))
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,X0,X0)
      | ~ m2_relset_1(X1,X0,X0) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( r2_hidden(X1,k1_funct_2(X0,X0))
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,X0,X0)
      | ~ m2_relset_1(X1,X0,X0) ),
    inference(flattening,[],[f121]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f132,plain,
    ( ~ r1_tarski(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0)))
    & ~ v3_struct_0(sK0)
    & v1_group_1(sK0)
    & v3_group_1(sK0)
    & v4_group_1(sK0)
    & l1_group_1(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f78]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ( r1_tarski(X0,X1)
        | ? [X2] :
            ( ~ r2_hidden(X2,X1)
            & r2_hidden(X2,X0) ) )
      & ( ! [X2] :
            ( r2_hidden(X2,X1)
            | ~ r2_hidden(X2,X0) )
        | ~ r1_tarski(X0,X1) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ( r1_tarski(X0,X1)
        | ? [X2] :
            ( ~ r2_hidden(X2,X1)
            & r2_hidden(X2,X0) ) )
      & ( ! [X3] :
            ( r2_hidden(X3,X1)
            | ~ r2_hidden(X3,X0) )
        | ~ r1_tarski(X0,X1) ) ),
    inference(rectify,[],[f133]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ( r1_tarski(X0,X1)
        | ( ~ r2_hidden(sK1(X0,X1),X1)
          & r2_hidden(sK1(X0,X1),X0) ) )
      & ( ! [X3] :
            ( r2_hidden(X3,X1)
            | ~ r2_hidden(X3,X0) )
        | ~ r1_tarski(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f134]) ).

fof(f157,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( m2_fraenkel(X3,X0,X1,X2)
            | ~ m1_subset_1(X3,X2) )
          & ( m1_subset_1(X3,X2)
            | ~ m2_fraenkel(X3,X0,X1,X2) ) )
      | v1_xboole_0(X1)
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(nnf_transformation,[],[f120]) ).

fof(f160,plain,
    l1_group_1(sK0),
    inference(cnf_transformation,[],[f132]) ).

fof(f161,plain,
    v4_group_1(sK0),
    inference(cnf_transformation,[],[f132]) ).

fof(f162,plain,
    v3_group_1(sK0),
    inference(cnf_transformation,[],[f132]) ).

fof(f163,plain,
    v1_group_1(sK0),
    inference(cnf_transformation,[],[f132]) ).

fof(f164,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f132]) ).

fof(f165,plain,
    ~ r1_tarski(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),
    inference(cnf_transformation,[],[f132]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( r2_hidden(sK1(X0,X1),X0)
      | r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(sK1(X0,X1),X1)
      | r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f190,plain,
    ! [X0] :
      ( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v1_group_1(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f191,plain,
    ! [X0] :
      ( ~ l1_group_1(X0)
      | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f194,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m2_fraenkel(X3,X0,X1,X2)
      | m2_relset_1(X3,X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f195,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m2_fraenkel(X3,X0,X1,X2)
      | v1_funct_2(X3,X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f196,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m2_fraenkel(X3,X0,X1,X2)
      | v1_funct_1(X3)
      | v1_xboole_0(X1)
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( v1_xboole_0(X1)
      | k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f254,plain,
    ! [X2,X3,X0,X1] :
      ( m2_fraenkel(X3,X0,X1,X2)
      | ~ m1_subset_1(X3,X2)
      | v1_xboole_0(X1)
      | ~ m1_fraenkel(X2,X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( r2_hidden(X1,k1_funct_2(X0,X0))
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,X0,X0)
      | ~ m2_relset_1(X1,X0,X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | m1_subset_1(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f268,definition,
    sF23 = k4_autgroup(sK0),
    introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).

fof(f269,plain,
    k4_autgroup(sK0) = sF23,
    inference(reorient_equations,[],[f268]) ).

fof(f270,definition,
    sF24 = u1_struct_0(sK0),
    introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).

fof(f271,plain,
    u1_struct_0(sK0) = sF24,
    inference(reorient_equations,[],[f270]) ).

fof(f272,definition,
    sF25 = k1_fraenkel(sF24,sF24),
    introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).

fof(f273,plain,
    k1_fraenkel(sF24,sF24) = sF25,
    inference(reorient_equations,[],[f272]) ).

fof(f274,plain,
    ~ r1_tarski(sF23,sF25),
    inference(definition_folding,[],[f165,f273,f271,f271,f269]) ).

fof(f279,plain,
    l1_struct_0(sK0),
    inference(resolution,[],[f191,f160]) ).

fof(f304,plain,
    ( ~ v1_xboole_0(sF24)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0) ),
    inference(superposition,[],[f212,f271]) ).

fof(f305,plain,
    ( ~ v1_xboole_0(sF24)
    | ~ l1_struct_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f304,f164]) ).

fof(f306,plain,
    ~ v1_xboole_0(sF24),
    inference(forward_subsumption_resolution,[],[f305,f279]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( m1_subset_1(sK1(X0,X1),X0)
      | r1_tarski(X0,X1) ),
    inference(resolution,[],[f185,f259]) ).

fof(f361,plain,
    ! [X0] : k1_fraenkel(X0,sF24) = k1_funct_2(X0,sF24),
    inference(resolution,[],[f252,f306]) ).

fof(f366,plain,
    sF25 = k1_funct_2(sF24,sF24),
    inference(superposition,[],[f273,f361]) ).

fof(f426,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_subset_1(X0,X1)
      | v1_xboole_0(X2)
      | ~ m1_fraenkel(X1,X3,X2)
      | v1_funct_1(X0)
      | v1_xboole_0(X2)
      | ~ m1_fraenkel(X1,X3,X2) ),
    inference(resolution,[],[f254,f196]) ).

fof(f427,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_fraenkel(X1,X3,X2)
      | v1_xboole_0(X2)
      | ~ m1_subset_1(X0,X1)
      | v1_funct_1(X0) ),
    inference(duplicate_literal_removal,[],[f426]) ).

fof(f431,plain,
    ! [X2,X3,X0,X1] :
      ( m2_relset_1(X0,X1,X2)
      | v1_xboole_0(X2)
      | ~ m1_fraenkel(X3,X1,X2)
      | ~ m1_subset_1(X0,X3)
      | v1_xboole_0(X2)
      | ~ m1_fraenkel(X3,X1,X2) ),
    inference(resolution,[],[f194,f254]) ).

fof(f432,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_fraenkel(X3,X1,X2)
      | v1_xboole_0(X2)
      | m2_relset_1(X0,X1,X2)
      | ~ m1_subset_1(X0,X3) ),
    inference(duplicate_literal_removal,[],[f431]) ).

fof(f438,plain,
    ! [X2,X3,X0,X1] :
      ( v1_funct_2(X0,X1,X2)
      | v1_xboole_0(X2)
      | ~ m1_fraenkel(X3,X1,X2)
      | ~ m1_subset_1(X0,X3)
      | v1_xboole_0(X2)
      | ~ m1_fraenkel(X3,X1,X2) ),
    inference(resolution,[],[f195,f254]) ).

fof(f439,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_fraenkel(X3,X1,X2)
      | v1_xboole_0(X2)
      | v1_funct_2(X0,X1,X2)
      | ~ m1_subset_1(X0,X3) ),
    inference(duplicate_literal_removal,[],[f438]) ).

fof(f447,plain,
    ! [X0,X1] :
      ( ~ m2_relset_1(sK1(X0,k1_funct_2(X1,X1)),X1,X1)
      | ~ v1_funct_2(sK1(X0,k1_funct_2(X1,X1)),X1,X1)
      | ~ v1_funct_1(sK1(X0,k1_funct_2(X1,X1)))
      | r1_tarski(X0,k1_funct_2(X1,X1)) ),
    inference(resolution,[],[f258,f186]) ).

fof(f477,plain,
    ( m1_fraenkel(k4_autgroup(sK0),sF24,sF24)
    | v3_struct_0(sK0)
    | ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(superposition,[],[f190,f271]) ).

fof(f478,plain,
    ( m1_fraenkel(k4_autgroup(sK0),sF24,sF24)
    | ~ v1_group_1(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f477,f164]) ).

fof(f480,plain,
    ( m1_fraenkel(k4_autgroup(sK0),sF24,sF24)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f478,f163]) ).

fof(f482,plain,
    ( m1_fraenkel(k4_autgroup(sK0),sF24,sF24)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f480,f162]) ).

fof(f484,plain,
    ( m1_fraenkel(k4_autgroup(sK0),sF24,sF24)
    | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f482,f161]) ).

fof(f486,plain,
    m1_fraenkel(k4_autgroup(sK0),sF24,sF24),
    inference(forward_subsumption_resolution,[],[f484,f160]) ).

fof(f488,plain,
    m1_fraenkel(sF23,sF24,sF24),
    inference(forward_demodulation,[],[f486,f269]) ).

fof(f773,plain,
    ! [X0] :
      ( v1_xboole_0(sF24)
      | ~ m1_subset_1(X0,sF23)
      | v1_funct_1(X0) ),
    inference(resolution,[],[f427,f488]) ).

fof(f776,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF23)
      | v1_funct_1(X0) ),
    inference(forward_subsumption_resolution,[],[f773,f306]) ).

fof(f903,plain,
    ! [X0] :
      ( v1_xboole_0(sF24)
      | m2_relset_1(X0,sF24,sF24)
      | ~ m1_subset_1(X0,sF23) ),
    inference(resolution,[],[f432,f488]) ).

fof(f906,plain,
    ! [X0] :
      ( m2_relset_1(X0,sF24,sF24)
      | ~ m1_subset_1(X0,sF23) ),
    inference(forward_subsumption_resolution,[],[f903,f306]) ).

fof(f936,plain,
    ! [X0] :
      ( v1_xboole_0(sF24)
      | v1_funct_2(X0,sF24,sF24)
      | ~ m1_subset_1(X0,sF23) ),
    inference(resolution,[],[f439,f488]) ).

fof(f939,plain,
    ! [X0] :
      ( v1_funct_2(X0,sF24,sF24)
      | ~ m1_subset_1(X0,sF23) ),
    inference(forward_subsumption_resolution,[],[f936,f306]) ).

fof(f1068,plain,
    ! [X0] :
      ( ~ v1_funct_2(sK1(X0,k1_funct_2(sF24,sF24)),sF24,sF24)
      | ~ v1_funct_1(sK1(X0,k1_funct_2(sF24,sF24)))
      | r1_tarski(X0,k1_funct_2(sF24,sF24))
      | ~ m1_subset_1(sK1(X0,k1_funct_2(sF24,sF24)),sF23) ),
    inference(resolution,[],[f447,f906]) ).

fof(f1070,plain,
    ! [X0] :
      ( ~ v1_funct_1(sK1(X0,k1_funct_2(sF24,sF24)))
      | r1_tarski(X0,k1_funct_2(sF24,sF24))
      | ~ m1_subset_1(sK1(X0,k1_funct_2(sF24,sF24)),sF23) ),
    inference(forward_subsumption_resolution,[],[f1068,f939]) ).

fof(f1072,plain,
    ! [X0] :
      ( r1_tarski(X0,k1_funct_2(sF24,sF24))
      | ~ m1_subset_1(sK1(X0,k1_funct_2(sF24,sF24)),sF23) ),
    inference(forward_subsumption_resolution,[],[f1070,f776]) ).

fof(f1074,plain,
    ! [X0] :
      ( r1_tarski(X0,sF25)
      | ~ m1_subset_1(sK1(X0,k1_funct_2(sF24,sF24)),sF23) ),
    inference(forward_demodulation,[],[f1072,f366]) ).

fof(f1076,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1(X0,sF25),sF23)
      | r1_tarski(X0,sF25) ),
    inference(forward_demodulation,[],[f1074,f366]) ).

fof(f1123,plain,
    ( r1_tarski(sF23,sF25)
    | r1_tarski(sF23,sF25) ),
    inference(resolution,[],[f1076,f328]) ).

fof(f1124,plain,
    r1_tarski(sF23,sF25),
    inference(duplicate_literal_removal,[],[f1123]) ).

fof(f1125,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1124,f274]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP622+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39  % Computer : n010.cluster.edu
% 0.09/0.39  % Model    : x86_64 x86_64
% 0.09/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39  % Memory   : 8046.5625MB
% 0.09/0.39  % OS       : Linux 6.8.0-71-generic
% 0.09/0.39  % CPULimit : 300
% 0.09/0.39  % WCLimit  : 300
% 0.09/0.39  % DateTime : Sun Sep 27 10:10:31 UTC 2026
% 0.09/0.39  % CPUTime  : 
% 0.09/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41  Running first-order model finding
% 0.09/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.92/6.27  % (733667)Will run a generic schedule for satisfiability detection.
% 40.92/6.27  % (733675)dis+10_1_sil=32000:sp=arity:random_seed=3172715086:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 40.92/6.27  % (733673)% WARNING: option uhcvi not known.
% 40.92/6.27  % (733672)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1385180916_2999 on theBenchmark for (2999ds/0Mi)
% 40.92/6.27  % (733674)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4020526095:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 40.92/6.27  % (733673)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=318496477:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 40.92/6.27  % (733676)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=494100323:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 40.92/6.27  % TRYING [1]
% 40.92/6.27  % TRYING [2]
% 40.92/6.27  % (733678)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2860236206:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 40.92/6.27  % TRYING [3]
% 40.92/6.27  % TRYING [4]
% 40.92/6.27  % (733677)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3578115910:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 40.92/6.27  % TRYING [5]
% 40.92/6.27  % (733675)Instruction limit reached! 
% 40.92/6.27  % (733675)------------------------------
% 40.92/6.27  % (733675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.92/6.27  % (733675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.92/6.27  % (733675)CaDiCaL version: 2.1.3
% 40.92/6.27  % (733675)Termination reason: Instruction limit
% 40.92/6.27  % (733675)Termination phase: Saturation
% 40.92/6.27  % (733675)Time elapsed: 0.042 s
% 40.92/6.27  % (733675)Peak memory usage: 13 MB
% 40.92/6.27  % (733675)Instructions burned: 106 (million)
% 40.92/6.27  % (733686)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1790165058:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 40.92/6.27  % TRYING [1]
% 40.92/6.27  % TRYING [2]
% 40.92/6.27  % TRYING [3]
% 40.92/6.27  % TRYING [4]
% 40.92/6.27  % TRYING [5]
% 40.92/6.27  % TRYING [6]
% 40.92/6.27  % (733676)Instruction limit reached! 
% 40.92/6.27  % (733676)------------------------------
% 40.92/6.27  % (733676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.92/6.27  % (733676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.92/6.27  % (733676)CaDiCaL version: 2.1.3
% 40.92/6.27  % (733676)Termination reason: Instruction limit
% 40.92/6.27  % (733676)Termination phase: Saturation
% 40.92/6.27  % (733676)Time elapsed: 0.079 s
% 40.92/6.27  % (733676)Peak memory usage: 13 MB
% 40.92/6.27  % (733676)Instructions burned: 116 (million)
% 40.92/6.27  % TRYING [6]
% 40.92/6.27  % (733688)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=594118765:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 40.92/6.27  % (733678)Instruction limit reached! 
% 40.92/6.27  % (733678)------------------------------
% 40.92/6.27  % (733678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.92/6.27  % (733678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.92/6.27  % (733678)CaDiCaL version: 2.1.3
% 40.92/6.27  % (733678)Termination reason: Instruction limit
% 40.92/6.27  % (733678)Termination phase: Saturation
% 40.92/6.27  % (733678)Time elapsed: 0.101 s
% 40.92/6.27  % (733678)Peak memory usage: 13 MB
% 40.92/6.27  % (733678)Instructions burned: 159 (million)
% 40.92/6.27  % (733690)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2960723376:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 40.92/6.27  % (733677)Instruction limit reached! 
% 40.92/6.27  % (733677)------------------------------
% 40.92/6.27  % (733677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.92/6.27  % (733677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.92/6.27  % (733677)CaDiCaL version: 2.1.3
% 40.92/6.27  % (733677)Termination reason: Instruction limit
% 40.92/6.27  % (733677)Termination phase: Saturation
% 40.92/6.27  % (733677)Time elapsed: 0.149 s
% 40.92/6.27  % (733677)Peak memory usage: 13 MB
% 40.92/6.27  % (733677)Instructions burned: 131 (million)
% 40.92/6.27  % TRYING [7]
% 40.92/6.27  % (733692)ott-21_1_sil=16000:fs=off:random_seed=2662575405:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 40.92/6.27  % (733688)Instruction limit reached! 
% 40.92/6.27  % (733688)------------------------------
% 40.92/6.27  % (733688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733688)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733688)Termination reason: Instruction limit
% 32.30/8.28  % (733688)Termination phase: Saturation
% 32.30/8.28  % (733688)Time elapsed: 0.090 s
% 32.30/8.28  % (733688)Peak memory usage: 13 MB
% 32.30/8.28  % (733688)Instructions burned: 131 (million)
% 32.30/8.28  % TRYING [7]
% 32.30/8.28  % (733694)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=253024716:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 32.30/8.28  % (733686)Instruction limit reached! 
% 32.30/8.28  % (733686)------------------------------
% 32.30/8.28  % (733686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733686)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733686)Termination reason: Instruction limit
% 32.30/8.28  % (733686)Termination phase: Finite model building constraint generation
% 32.30/8.28  % (733686)Time elapsed: 0.172 s
% 32.30/8.28  % (733686)Peak memory usage: 25 MB
% 32.30/8.28  % (733686)Instructions burned: 720 (million)
% 32.30/8.28  % (733696)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3241930577:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 32.30/8.28  % TRYING [1]
% 32.30/8.28  % TRYING [2]
% 32.30/8.28  % TRYING [3]
% 32.30/8.28  % (733692)Instruction limit reached! 
% 32.30/8.28  % (733692)------------------------------
% 32.30/8.28  % (733692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733692)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733692)Termination reason: Instruction limit
% 32.30/8.28  % (733692)Termination phase: Saturation
% 32.30/8.28  % (733692)Time elapsed: 0.067 s
% 32.30/8.28  % (733692)Peak memory usage: 12 MB
% 32.30/8.28  % (733692)Instructions burned: 182 (million)
% 32.30/8.28  % TRYING [4]
% 32.30/8.28  % (733700)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2489035962:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 32.30/8.28  % TRYING [5]
% 32.30/8.28  % TRYING [6]
% 32.30/8.28  % (733690)Instruction limit reached! 
% 32.30/8.28  % (733690)------------------------------
% 32.30/8.28  % (733690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733690)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733690)Termination reason: Instruction limit
% 32.30/8.28  % (733690)Termination phase: Saturation
% 32.30/8.28  % (733690)Time elapsed: 0.390 s
% 32.30/8.28  % (733690)Peak memory usage: 18 MB
% 32.30/8.28  % (733690)Instructions burned: 684 (million)
% 32.30/8.28  % TRYING [7]
% 32.30/8.28  % (733778)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2039736974:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 32.30/8.28  % (733694)Instruction limit reached! 
% 32.30/8.28  % (733694)------------------------------
% 32.30/8.28  % (733694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733694)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733694)Termination reason: Instruction limit
% 32.30/8.28  % (733694)Termination phase: Saturation
% 32.30/8.28  % (733694)Time elapsed: 0.349 s
% 32.30/8.28  % (733694)Peak memory usage: 15 MB
% 32.30/8.28  % (733694)Instructions burned: 477 (million)
% 32.30/8.28  % (733787)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2774094449:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 32.30/8.28  % (733696)Instruction limit reached! 
% 32.30/8.28  % (733696)------------------------------
% 32.30/8.28  % (733696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733696)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733696)Termination reason: Instruction limit
% 32.30/8.28  % (733696)Termination phase: Finite model building constraint generation
% 32.30/8.28  % (733696)Time elapsed: 0.366 s
% 32.30/8.28  % (733696)Peak memory usage: 21 MB
% 32.30/8.28  % (733696)Instructions burned: 867 (million)
% 32.30/8.28  % TRYING [14]
% 32.30/8.28  % (733795)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1057886280:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 32.30/8.28  % (733700)Instruction limit reached! 
% 32.30/8.28  % (733700)------------------------------
% 32.30/8.28  % (733700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733700)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733700)Termination reason: Instruction limit
% 32.30/8.28  % (733700)Termination phase: Saturation
% 32.30/8.28  % (733700)Time elapsed: 0.381 s
% 32.30/8.28  % (733700)Peak memory usage: 27 MB
% 32.30/8.28  % (733700)Instructions burned: 1183 (million)
% 32.30/8.28  % (733801)fmb+10_1_sil=64000:random_seed=1058034361:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 32.30/8.28  % TRYING [1]
% 32.30/8.28  % TRYING [2]
% 32.30/8.28  % TRYING [3]
% 32.30/8.28  % TRYING [4]
% 32.30/8.28  % TRYING [5]
% 32.30/8.28  % TRYING [6]
% 32.30/8.28  % TRYING [7]
% 32.30/8.28  % (733778)Instruction limit reached! 
% 32.30/8.28  % (733778)------------------------------
% 32.30/8.28  % (733778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733778)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733778)Termination reason: Instruction limit
% 32.30/8.28  % (733778)Termination phase: Finite model building constraint generation
% 32.30/8.28  % (733778)Time elapsed: 0.336 s
% 32.30/8.28  % (733778)Peak memory usage: 83 MB
% 32.30/8.28  % (733778)Instructions burned: 891 (million)
% 32.30/8.28  % (733809)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3446407671:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 32.30/8.28  % TRYING [20]
% 32.30/8.28  % (733787)Instruction limit reached! 
% 32.30/8.28  % (733787)------------------------------
% 32.30/8.28  % (733787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733787)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733787)Termination reason: Instruction limit
% 32.30/8.28  % (733787)Termination phase: Saturation
% 32.30/8.28  % (733787)Time elapsed: 0.418 s
% 32.30/8.28  % (733787)Peak memory usage: 18 MB
% 32.30/8.28  % (733787)Instructions burned: 692 (million)
% 32.30/8.28  % (733824)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2986318853:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 32.30/8.28  % TRYING [8]
% 32.30/8.28  % (733795)Instruction limit reached! 
% 32.30/8.28  % (733795)------------------------------
% 32.30/8.28  % (733795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733795)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733795)Termination reason: Instruction limit
% 32.30/8.28  % (733795)Termination phase: Saturation
% 32.30/8.28  % (733795)Time elapsed: 0.607 s
% 32.30/8.28  % (733795)Peak memory usage: 19 MB
% 32.30/8.28  % (733795)Instructions burned: 880 (million)
% 32.30/8.28  % (733840)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2168979945:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 32.30/8.28  % TRYING [8]
% 32.30/8.28  % (733824)Instruction limit reached! 
% 32.30/8.28  % (733824)------------------------------
% 32.30/8.28  % (733824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733824)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733824)Termination reason: Instruction limit
% 32.30/8.28  % (733824)Termination phase: Finite model building SAT solving
% 32.30/8.28  % (733824)Time elapsed: 0.619 s
% 32.30/8.28  % (733824)Peak memory usage: 44 MB
% 32.30/8.28  % (733824)Instructions burned: 921 (million)
% 32.30/8.28  % (733854)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1140801768:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 32.30/8.28  % TRYING [8]
% 32.30/8.28  % (733854)Instruction limit reached! 
% 32.30/8.28  % (733854)------------------------------
% 32.30/8.28  % (733854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733854)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733854)Termination reason: Instruction limit
% 32.30/8.28  % (733854)Termination phase: Saturation
% 32.30/8.28  % (733854)Time elapsed: 1.045 s
% 32.30/8.28  % (733854)Peak memory usage: 18 MB
% 32.30/8.28  % (733854)Instructions burned: 1474 (million)
% 32.30/8.28  % (733866)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1622323517:i=6324_2972 on theBenchmark for (2972ds/6324Mi)
% 32.30/8.28  % TRYING [77]
% 32.30/8.28  % (733840)Instruction limit reached! 
% 32.30/8.28  % (733840)------------------------------
% 32.30/8.28  % (733840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733840)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733840)Termination reason: Instruction limit
% 32.30/8.28  % (733840)Termination phase: Saturation
% 32.30/8.28  % (733840)Time elapsed: 4.525 s
% 32.30/8.28  % (733840)Peak memory usage: 36 MB
% 32.30/8.28  % (733840)Instructions burned: 5132 (million)
% 32.30/8.28  % (733880)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3032509924:fmbsr=2.30978:i=2174_2941 on theBenchmark for (2941ds/2174Mi)
% 32.30/8.28  % TRYING [16]
% 32.30/8.28  % (733880)Instruction limit reached! 
% 32.30/8.28  % (733880)------------------------------
% 32.30/8.28  % (733880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733880)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733880)Termination reason: Instruction limit
% 32.30/8.28  % (733880)Termination phase: Finite model building constraint generation
% 32.30/8.28  % (733880)Time elapsed: 1.443 s
% 32.30/8.28  % (733880)Peak memory usage: 133 MB
% 32.30/8.28  % (733880)Instructions burned: 2175 (million)
% 32.30/8.28  % (733886)ott-2_1_sil=16000:newcnf=on:random_seed=1909730787:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2926 on theBenchmark for (2926ds/869Mi)
% 32.30/8.28  % (733866)Instruction limit reached! 
% 32.30/8.28  % (733866)------------------------------
% 32.30/8.28  % (733866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733866)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733866)Termination reason: Instruction limit
% 32.30/8.28  % (733866)Termination phase: Finite model building constraint generation
% 32.30/8.28  % (733866)Time elapsed: 4.713 s
% 32.30/8.28  % (733866)Peak memory usage: 495 MB
% 32.30/8.28  % (733866)Instructions burned: 6325 (million)
% 32.30/8.28  % (733888)ott+10_1_sil=32000:tgt=ground:random_seed=2052101668:i=5114:av=off_2923 on theBenchmark for (2923ds/5114Mi)
% 32.30/8.28  % (733888) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-733667-733888"...
% 32.30/8.28  % (733888)...printing done.
% 32.30/8.28  % (733888)Refutation found. Thanks to Tanya!
% 32.30/8.28  % SZS status Theorem for theBenchmark
% 32.30/8.28  % SZS output start Proof for theBenchmark
% See solution above
% 32.30/8.28  % (733888)------------------------------
% 32.30/8.28  % (733888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.30/8.28  % (733888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.30/8.28  % (733888)CaDiCaL version: 2.1.3
% 32.30/8.28  % (733888)Termination reason: Refutation
% 32.30/8.28  % (733888)Time elapsed: 0.042 s
% 32.30/8.28  % (733888)Peak memory usage: 12 MB
% 32.30/8.28  % (733888)Instructions burned: 38 (million)
% 32.30/8.28  % (733667)Success in time 7.853 s
% 32.30/8.28  % Vampire exiting
%------------------------------------------------------------------------------