TSTP Solution File: KRS116+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 : Sun May  5 07:19:34 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   96 (  20 unt;   0 def)
%            Number of atoms       :  275 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  253 (  74   ~;  69   |;  53   &)
%                                         (  13 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  165 ( 134   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f132,plain,
    $false,
    inference(subsumption_resolution,[],[f131,f92]) ).

fof(f92,plain,
    ca(i2003_11_14_17_21_33997),
    inference(resolution,[],[f70,f69]) ).

fof(f69,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f70,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ca(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ca(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ca(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f131,plain,
    ~ ca(i2003_11_14_17_21_33997),
    inference(resolution,[],[f130,f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ ra_Px1(X0,X1)
      | ~ ca(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] : ~ ra_Px1(X0,X1)
      | ~ ca(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ca(X0)
     => ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ca(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f130,plain,
    ra_Px1(i2003_11_14_17_21_33997,sK2(i2003_11_14_17_21_33997)),
    inference(resolution,[],[f129,f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ caxcomp(X0)
      | ra_Px1(X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ra_Px1(X0,sK2(X0))
      | ~ caxcomp(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f44,f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK2(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
      | ~ caxcomp(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( caxcomp(X0)
     => ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( caxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( caxcomp(X0)
    <=> ? [X2] : ra_Px1(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f129,plain,
    caxcomp(i2003_11_14_17_21_33997),
    inference(resolution,[],[f128,f102]) ).

fof(f102,plain,
    ( ~ ca_Vx6(sK1(i2003_11_14_17_21_33997))
    | caxcomp(i2003_11_14_17_21_33997) ),
    inference(resolution,[],[f74,f98]) ).

fof(f98,plain,
    rinvS(sK1(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997),
    inference(resolution,[],[f89,f95]) ).

fof(f95,plain,
    rs(i2003_11_14_17_21_33997,sK1(i2003_11_14_17_21_33997)),
    inference(resolution,[],[f71,f69]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rs(X0,sK1(X0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ( ca_Ax2(sK1(X0))
        & rs(X0,sK1(X0)) )
      | ~ cUnsatisfiable(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f40,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ? [X1] :
          ( ca_Ax2(X1)
          & rs(X0,X1) )
     => ( ca_Ax2(sK1(X0))
        & rs(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0] :
      ( ? [X1] :
          ( ca_Ax2(X1)
          & rs(X0,X1) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ? [X1] :
          ( ca_Ax2(X1)
          & rs(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ rs(X1,X0)
      | rinvS(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
      | ~ rs(X1,X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( rs(X1,X0)
     => rinvS(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ rinvS(X0,X1)
      | caxcomp(X1)
      | ~ ca_Vx6(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( caxcomp(X1)
          | ~ rinvS(X0,X1) )
      | ~ ca_Vx6(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ca_Vx6(X0)
     => ! [X1] :
          ( rinvS(X0,X1)
         => caxcomp(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ca_Vx6(X0)
    <=> ! [X1] :
          ( rinvS(X0,X1)
         => caxcomp(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f128,plain,
    ca_Vx6(sK1(i2003_11_14_17_21_33997)),
    inference(resolution,[],[f127,f101]) ).

fof(f101,plain,
    ( ~ ca_Vx7(sK5(sK1(i2003_11_14_17_21_33997)))
    | ca_Vx6(sK1(i2003_11_14_17_21_33997)) ),
    inference(resolution,[],[f100,f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ rinvP(X0,X1)
      | ca_Vx6(X1)
      | ~ ca_Vx7(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ca_Vx6(X1)
          | ~ rinvP(X0,X1) )
      | ~ ca_Vx7(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ca_Vx7(X0)
     => ! [X1] :
          ( rinvP(X0,X1)
         => ca_Vx6(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ca_Vx7(X0)
    <=> ! [X1] :
          ( rinvP(X0,X1)
         => ca_Vx6(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f100,plain,
    rinvP(sK5(sK1(i2003_11_14_17_21_33997)),sK1(i2003_11_14_17_21_33997)),
    inference(resolution,[],[f97,f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ rp(X1,X0)
      | rinvP(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( rinvP(X0,X1)
      | ~ rp(X1,X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( rp(X1,X0)
     => rinvP(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( rinvP(X0,X1)
    <=> rp(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f97,plain,
    rp(sK1(i2003_11_14_17_21_33997),sK5(sK1(i2003_11_14_17_21_33997))),
    inference(resolution,[],[f84,f94]) ).

fof(f94,plain,
    sP0(sK1(i2003_11_14_17_21_33997)),
    inference(resolution,[],[f93,f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ ca_Ax2(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ ca_Ax2(X0) ),
    inference(definition_folding,[],[f48,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx4(X1)
            | ~ rp(X0,X1) )
        & ? [X2] : rp(X0,X2)
        & ? [X3] : rr(X0,X3)
        & ! [X4] :
            ( cc(X4)
            | ~ rr(X0,X4) )
        & ! [X5] :
            ( ca_Vx5(X5)
            | ~ rp(X0,X5) )
        & ! [X6] :
            ( ca_Vx3(X6)
            | ~ rp(X0,X6) ) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f48,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx4(X1)
            | ~ rp(X0,X1) )
        & ? [X2] : rp(X0,X2)
        & ? [X3] : rr(X0,X3)
        & ! [X4] :
            ( cc(X4)
            | ~ rr(X0,X4) )
        & ! [X5] :
            ( ca_Vx5(X5)
            | ~ rp(X0,X5) )
        & ! [X6] :
            ( ca_Vx3(X6)
            | ~ rp(X0,X6) ) )
      | ~ ca_Ax2(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ca_Ax2(X0)
     => ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X2] : rp(X0,X2)
        & ? [X3] : rr(X0,X3)
        & ! [X4] :
            ( rr(X0,X4)
           => cc(X4) )
        & ! [X5] :
            ( rp(X0,X5)
           => ca_Vx5(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx3(X6) ) ) ),
    inference(pure_predicate_removal,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ca_Ax2(X0)
     => ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X2] :
            ( cowlThing(X2)
            & rp(X0,X2) )
        & ? [X3] :
            ( cowlThing(X3)
            & rr(X0,X3) )
        & ! [X4] :
            ( rr(X0,X4)
           => cc(X4) )
        & ! [X5] :
            ( rp(X0,X5)
           => ca_Vx5(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx3(X6) ) ) ),
    inference(unused_predicate_definition_removal,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X2] :
            ( cowlThing(X2)
            & rp(X0,X2) )
        & ? [X3] :
            ( cowlThing(X3)
            & rr(X0,X3) )
        & ! [X4] :
            ( rr(X0,X4)
           => cc(X4) )
        & ! [X5] :
            ( rp(X0,X5)
           => ca_Vx5(X5) )
        & ! [X6] :
            ( rp(X0,X6)
           => ca_Vx3(X6) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ca_Ax2(X0)
    <=> ( ! [X1] :
            ( rp(X0,X1)
           => ca_Vx4(X1) )
        & ? [X1] :
            ( cowlThing(X1)
            & rp(X0,X1) )
        & ? [X1] :
            ( cowlThing(X1)
            & rr(X0,X1) )
        & ! [X1] :
            ( rr(X0,X1)
           => cc(X1) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx5(X1) )
        & ! [X1] :
            ( rp(X0,X1)
           => ca_Vx3(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f93,plain,
    ca_Ax2(sK1(i2003_11_14_17_21_33997)),
    inference(resolution,[],[f72,f69]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ca_Ax2(sK1(X0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rp(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx4(X1)
            | ~ rp(X0,X1) )
        & rp(X0,sK5(X0))
        & rr(X0,sK6(X0))
        & ! [X4] :
            ( cc(X4)
            | ~ rr(X0,X4) )
        & ! [X5] :
            ( ca_Vx5(X5)
            | ~ rp(X0,X5) )
        & ! [X6] :
            ( ca_Vx3(X6)
            | ~ rp(X0,X6) ) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f65,f67,f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ? [X2] : rp(X0,X2)
     => rp(X0,sK5(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0] :
      ( ? [X3] : rr(X0,X3)
     => rr(X0,sK6(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ca_Vx4(X1)
            | ~ rp(X0,X1) )
        & ? [X2] : rp(X0,X2)
        & ? [X3] : rr(X0,X3)
        & ! [X4] :
            ( cc(X4)
            | ~ rr(X0,X4) )
        & ! [X5] :
            ( ca_Vx5(X5)
            | ~ rp(X0,X5) )
        & ! [X6] :
            ( ca_Vx3(X6)
            | ~ rp(X0,X6) ) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f127,plain,
    ca_Vx7(sK5(sK1(i2003_11_14_17_21_33997))),
    inference(subsumption_resolution,[],[f126,f119]) ).

fof(f119,plain,
    cc(sK3(sK5(sK1(i2003_11_14_17_21_33997)))),
    inference(subsumption_resolution,[],[f117,f109]) ).

fof(f109,plain,
    ca_Vx5(sK5(sK1(i2003_11_14_17_21_33997))),
    inference(subsumption_resolution,[],[f108,f94]) ).

fof(f108,plain,
    ( ca_Vx5(sK5(sK1(i2003_11_14_17_21_33997)))
    | ~ sP0(sK1(i2003_11_14_17_21_33997)) ),
    inference(resolution,[],[f81,f97]) ).

fof(f81,plain,
    ! [X0,X5] :
      ( ~ rp(X0,X5)
      | ca_Vx5(X5)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f117,plain,
    ( cc(sK3(sK5(sK1(i2003_11_14_17_21_33997))))
    | ~ ca_Vx5(sK5(sK1(i2003_11_14_17_21_33997))) ),
    inference(resolution,[],[f107,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | cc(X1)
      | ~ ca_Vx5(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1] :
          ( cc(X1)
          | ~ rr(X0,X1) )
      | ~ ca_Vx5(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ca_Vx5(X0)
     => ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ca_Vx5(X0)
    <=> ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f107,plain,
    rr(sK5(sK1(i2003_11_14_17_21_33997)),sK3(sK5(sK1(i2003_11_14_17_21_33997)))),
    inference(resolution,[],[f106,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ ca_Vx3(X0)
      | rr(X0,sK3(X0)) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( rr(X0,sK3(X0))
      | ~ ca_Vx3(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f45,f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ? [X1] : rr(X0,X1)
     => rr(X0,sK3(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ! [X0] :
      ( ? [X1] : rr(X0,X1)
      | ~ ca_Vx3(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ca_Vx3(X0)
     => ? [X1] : rr(X0,X1) ),
    inference(pure_predicate_removal,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ca_Vx3(X0)
     => ? [X1] :
          ( cowlThing(X1)
          & rr(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( cowlThing(X1)
          & rr(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f106,plain,
    ca_Vx3(sK5(sK1(i2003_11_14_17_21_33997))),
    inference(subsumption_resolution,[],[f105,f94]) ).

fof(f105,plain,
    ( ca_Vx3(sK5(sK1(i2003_11_14_17_21_33997)))
    | ~ sP0(sK1(i2003_11_14_17_21_33997)) ),
    inference(resolution,[],[f80,f97]) ).

fof(f80,plain,
    ! [X0,X6] :
      ( ~ rp(X0,X6)
      | ca_Vx3(X6)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f126,plain,
    ( ca_Vx7(sK5(sK1(i2003_11_14_17_21_33997)))
    | ~ cc(sK3(sK5(sK1(i2003_11_14_17_21_33997)))) ),
    inference(resolution,[],[f118,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ rinvR(X0,X1)
      | ca_Vx7(X1)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( ca_Vx7(X1)
          | ~ rinvR(X0,X1) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( cc(X0)
     => ! [X1] :
          ( rinvR(X0,X1)
         => ca_Vx7(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( cc(X0)
    <=> ! [X1] :
          ( rinvR(X0,X1)
         => ca_Vx7(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f118,plain,
    rinvR(sK3(sK5(sK1(i2003_11_14_17_21_33997))),sK5(sK1(i2003_11_14_17_21_33997))),
    inference(resolution,[],[f107,f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ rr(X1,X0)
      | rinvR(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( rr(X1,X0)
     => rinvR(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 19:53:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (23276)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (23277)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [4]
% 0.14/0.37  % (23278)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (23280)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (23281)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (23279)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37  % (23282)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  TRYING [5]
% 0.14/0.37  % (23283)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  TRYING [1,1,1,1,1]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1,1,1,1,1]
% 0.14/0.37  TRYING [2,2,1,1,1]
% 0.14/0.37  TRYING [6]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2,2,1,1,1]
% 0.14/0.37  % (23281)First to succeed.
% 0.14/0.37  TRYING [2,1,2,1,1]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [2,1,2,1,1]
% 0.14/0.37  TRYING [2,1,1,2,1]
% 0.14/0.37  TRYING [2,1,1,2,1]
% 0.14/0.37  TRYING [2,2,2,1,1]
% 0.14/0.37  TRYING [2,2,2,1,1]
% 0.14/0.37  % (23279)Also succeeded, but the first one will report.
% 0.14/0.37  TRYING [2,1,2,2,1]
% 0.14/0.37  % (23281)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23276"
% 0.14/0.37  TRYING [2,1,2,2,1]
% 0.14/0.37  TRYING [2,2,1,2,1]
% 0.14/0.37  % (23282)Also succeeded, but the first one will report.
% 0.14/0.37  TRYING [4]
% 0.14/0.37  TRYING [2,2,1,2,1]
% 0.14/0.37  TRYING [2,2,2,2,1]
% 0.14/0.37  TRYING [7]
% 0.14/0.37  % (23281)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (23281)------------------------------
% 0.14/0.38  % (23281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (23281)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (23281)Memory used [KB]: 829
% 0.14/0.38  % (23281)Time elapsed: 0.005 s
% 0.14/0.38  % (23281)Instructions burned: 6 (million)
% 0.14/0.38  % (23276)Success in time 0.021 s
%------------------------------------------------------------------------------