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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUN071+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 12:26:43 PM UTC 2026

% Result   : Theorem 52.46s 14.71s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  119 (  21 unt;   0 def)
%            Number of atoms       :  457 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  689 ( 351   ~; 278   |;  60   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   1 con; 0-2 aty)
%            Number of variables   :  380 ( 353   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( id(X1,X0)
        & r1(X1) )
      | ( ~ r1(X1)
        & ~ id(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f2,axiom,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( id(X2,X1)
        & r2(X0,X2) )
      | ( ~ r2(X0,X2)
        & ~ id(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f3,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( id(X3,X2)
        & r3(X0,X1,X3) )
      | ( ~ r3(X0,X1,X3)
        & ~ id(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f4,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( id(X3,X2)
        & r4(X0,X1,X3) )
      | ( ~ r4(X0,X1,X3)
        & ~ id(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f5,axiom,
    ! [X0] : id(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | id(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ~ id(X0,X1)
      | id(X0,X2)
      | ~ id(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | ( ~ r1(X0)
        & ~ r1(X1) )
      | ( r1(X0)
        & r1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ id(X0,X2)
      | ~ id(X1,X3)
      | ( ~ r2(X0,X1)
        & ~ r2(X2,X3) )
      | ( r2(X0,X1)
        & r2(X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ id(X0,X3)
      | ~ id(X1,X4)
      | ~ id(X2,X5)
      | ( ~ r3(X0,X1,X2)
        & ~ r3(X3,X4,X5) )
      | ( r3(X0,X1,X2)
        & r3(X3,X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f11,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ id(X0,X3)
      | ~ id(X1,X4)
      | ~ id(X2,X5)
      | ( ~ r4(X0,X1,X2)
        & ~ r4(X3,X4,X5) )
      | ( r4(X0,X1,X2)
        & r4(X3,X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f12,axiom,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( id(X3,X2)
          & ? [X4] :
              ( r2(X1,X4)
              & r3(X0,X4,X3) ) )
      & ? [X5] :
          ( r2(X5,X2)
          & r3(X0,X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).

fof(f13,axiom,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( id(X3,X2)
          & ? [X4] :
              ( r2(X1,X4)
              & r4(X0,X4,X3) ) )
      & ? [X5] :
          ( r3(X5,X0,X2)
          & r4(X0,X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).

fof(f15,axiom,
    ! [X0] :
    ? [X1] :
      ( id(X1,X0)
      & ? [X2] :
          ( r1(X2)
          & r3(X0,X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).

fof(f16,axiom,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r1(X2)
          & r4(X0,X2,X1) )
      & ? [X3] :
          ( id(X1,X3)
          & r1(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).

fof(f19,conjecture,
    ? [X0] :
      ( ? [X1] :
          ( r4(X1,X1,X0)
          & ? [X2] :
              ( r1(X2)
              & r2(X2,X1) ) )
      & ? [X3] :
          ( id(X0,X3)
          & ? [X4] :
              ( r1(X4)
              & r2(X4,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',onetimesoneidone) ).

fof(f20,negated_conjecture,
    ~ ? [X0] :
        ( ? [X1] :
            ( r4(X1,X1,X0)
            & ? [X2] :
                ( r1(X2)
                & r2(X2,X1) ) )
        & ? [X3] :
            ( id(X0,X3)
            & ? [X4] :
                ( r1(X4)
                & r2(X4,X3) ) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f21,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ r4(X1,X1,X0)
          | ! [X2] :
              ( ~ r1(X2)
              | ~ r2(X2,X1) ) )
      | ! [X3] :
          ( ~ id(X0,X3)
          | ! [X4] :
              ( ~ r1(X4)
              | ~ r2(X4,X3) ) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f22,plain,
    ! [X1] :
      ( ( id(X1,sK0)
        & r1(X1) )
      | ( ~ r1(X1)
        & ~ id(X1,sK0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).

fof(f23,plain,
    ! [X0,X2] :
      ( ( id(X2,sK1(X0))
        & r2(X0,X2) )
      | ( ~ r2(X0,X2)
        & ~ id(X2,sK1(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f2]) ).

fof(f24,plain,
    ! [X0,X1,X3] :
      ( ( id(X3,sK2(X0,X1))
        & r3(X0,X1,X3) )
      | ( ~ r3(X0,X1,X3)
        & ~ id(X3,sK2(X0,X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f3]) ).

fof(f25,plain,
    ! [X0,X1,X3] :
      ( ( id(X3,sK3(X0,X1))
        & r4(X0,X1,X3) )
      | ( ~ r4(X0,X1,X3)
        & ~ id(X3,sK3(X0,X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f4]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( id(sK5(X0,X1),sK4(X0,X1))
      & r2(X1,sK6(X0,X1))
      & r3(X0,sK6(X0,X1),sK5(X0,X1))
      & r2(sK7(X0,X1),sK4(X0,X1))
      & r3(X0,X1,sK7(X0,X1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X5,sK7(X0,X1))],[f12]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( id(sK9(X0,X1),sK8(X0,X1))
      & r2(X1,sK10(X0,X1))
      & r4(X0,sK10(X0,X1),sK9(X0,X1))
      & r3(sK11(X0,X1),X0,sK8(X0,X1))
      & r4(X0,X1,sK11(X0,X1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1)),skolemize(X4,sK10(X0,X1)),skolemize(X5,sK11(X0,X1))],[f13]) ).

fof(f28,plain,
    ! [X0] :
      ( id(sK12(X0),X0)
      & r1(sK13(X0))
      & r3(X0,sK13(X0),sK12(X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f15]) ).

fof(f29,plain,
    ! [X0] :
      ( r1(sK15(X0))
      & r4(X0,sK15(X0),sK14(X0))
      & id(sK14(X0),sK16(X0))
      & r1(sK16(X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0))],[f16]) ).

fof(f31,plain,
    ! [X1] :
      ( r1(X1)
      | ~ id(X1,sK0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f34,plain,
    ! [X1] :
      ( id(X1,sK0)
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f38,plain,
    ! [X2,X0] :
      ( id(X2,sK1(X0))
      | ~ r2(X0,X2) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f39,plain,
    ! [X3,X0,X1] :
      ( r3(X0,X1,X3)
      | ~ id(X3,sK2(X0,X1)) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f42,plain,
    ! [X3,X0,X1] :
      ( id(X3,sK2(X0,X1))
      | ~ r3(X0,X1,X3) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f43,plain,
    ! [X3,X0,X1] :
      ( r4(X0,X1,X3)
      | ~ id(X3,sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f46,plain,
    ! [X3,X0,X1] :
      ( id(X3,sK3(X0,X1))
      | ~ r4(X0,X1,X3) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f47,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | id(X1,X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ id(X0,X1)
      | id(X0,X2)
      | ~ id(X1,X2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | ~ r1(X0)
      | r1(X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f55,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X0,X2)
      | ~ id(X1,X3)
      | ~ r2(X2,X3)
      | r2(X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f56,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X0,X2)
      | ~ id(X1,X3)
      | ~ r2(X0,X1)
      | r2(X2,X3) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ id(X0,X3)
      | ~ id(X1,X4)
      | ~ id(X2,X5)
      | ~ r3(X3,X4,X5)
      | r3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f60,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ id(X0,X3)
      | ~ id(X1,X4)
      | ~ id(X2,X5)
      | ~ r3(X0,X1,X2)
      | r3(X3,X4,X5) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ id(X0,X3)
      | ~ id(X1,X4)
      | ~ id(X2,X5)
      | ~ r4(X0,X1,X2)
      | r4(X3,X4,X5) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f66,plain,
    ! [X0,X1] : r3(X0,X1,sK7(X0,X1)),
    inference(cnf_transformation,[],[f26]) ).

fof(f67,plain,
    ! [X0,X1] : r2(sK7(X0,X1),sK4(X0,X1)),
    inference(cnf_transformation,[],[f26]) ).

fof(f68,plain,
    ! [X0,X1] : r3(X0,sK6(X0,X1),sK5(X0,X1)),
    inference(cnf_transformation,[],[f26]) ).

fof(f69,plain,
    ! [X0,X1] : r2(X1,sK6(X0,X1)),
    inference(cnf_transformation,[],[f26]) ).

fof(f70,plain,
    ! [X0,X1] : id(sK5(X0,X1),sK4(X0,X1)),
    inference(cnf_transformation,[],[f26]) ).

fof(f71,plain,
    ! [X0,X1] : r4(X0,X1,sK11(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f72,plain,
    ! [X0,X1] : r3(sK11(X0,X1),X0,sK8(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f73,plain,
    ! [X0,X1] : r4(X0,sK10(X0,X1),sK9(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f74,plain,
    ! [X0,X1] : r2(X1,sK10(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f75,plain,
    ! [X0,X1] : id(sK9(X0,X1),sK8(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f77,plain,
    ! [X0] : r3(X0,sK13(X0),sK12(X0)),
    inference(cnf_transformation,[],[f28]) ).

fof(f78,plain,
    ! [X0] : r1(sK13(X0)),
    inference(cnf_transformation,[],[f28]) ).

fof(f79,plain,
    ! [X0] : id(sK12(X0),X0),
    inference(cnf_transformation,[],[f28]) ).

fof(f80,plain,
    ! [X0] : r1(sK16(X0)),
    inference(cnf_transformation,[],[f29]) ).

fof(f81,plain,
    ! [X0] : id(sK14(X0),sK16(X0)),
    inference(cnf_transformation,[],[f29]) ).

fof(f82,plain,
    ! [X0] : r4(X0,sK15(X0),sK14(X0)),
    inference(cnf_transformation,[],[f29]) ).

fof(f83,plain,
    ! [X0] : r1(sK15(X0)),
    inference(cnf_transformation,[],[f29]) ).

fof(f89,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r4(X1,X1,X0)
      | ~ r1(X2)
      | ~ r2(X2,X1)
      | ~ id(X0,X3)
      | ~ r1(X4)
      | ~ r2(X4,X3) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f92,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ id(X2,sK3(X1,X1))
      | ~ r2(X0,X1)
      | ~ id(X2,X3)
      | ~ r1(X4)
      | ~ r2(X4,X3)
      | ~ r1(X0) ),
    inference(resolution,[],[f89,f43]) ).

fof(f142,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK3(X1,X1),X2)
      | ~ r2(X0,X1)
      | ~ r1(X3)
      | ~ r2(X3,X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f92,f47]) ).

fof(f180,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X3,sK3(X1,X1))
      | ~ r1(X2)
      | ~ r2(X2,X3)
      | ~ r1(X0)
      | ~ r2(X0,X1) ),
    inference(resolution,[],[f142,f48]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r4(X3,X3,X1)
      | ~ r2(X0,X1)
      | ~ r1(X2)
      | ~ r2(X2,X3)
      | ~ r1(X0) ),
    inference(resolution,[],[f180,f46]) ).

fof(f298,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ r4(X4,X5,X6)
      | ~ r1(X2)
      | ~ r2(X2,X3)
      | ~ r1(X0)
      | ~ id(X4,X3)
      | ~ id(X5,X3)
      | ~ id(X6,X1)
      | ~ r2(X0,X1) ),
    inference(resolution,[],[f291,f64]) ).

fof(f383,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ id(sK10(X3,X4),X1)
      | ~ r2(X0,X1)
      | ~ r1(X2)
      | ~ id(X3,X1)
      | ~ r1(X0)
      | ~ id(sK9(X3,X4),X5)
      | ~ r2(X2,X5) ),
    inference(resolution,[],[f298,f73]) ).

fof(f409,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r2(X0,sK10(X1,X2))
      | ~ r1(X3)
      | ~ id(X1,sK10(X1,X2))
      | ~ r1(X0)
      | ~ id(sK9(X1,X2),X4)
      | ~ r2(X3,X4) ),
    inference(resolution,[],[f383,f47]) ).

fof(f421,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK9(X1,X2),X3)
      | ~ id(X1,sK10(X1,X2))
      | ~ r1(X2)
      | ~ r1(X0)
      | ~ r2(X0,X3) ),
    inference(resolution,[],[f409,f74]) ).

fof(f428,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ id(sK9(X0,X1),X4)
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ r2(X2,X3)
      | ~ id(X0,sK10(X0,X1))
      | ~ id(X4,X3) ),
    inference(resolution,[],[f421,f49]) ).

fof(f678,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK8(X3,X0),X2)
      | ~ r1(X1)
      | ~ r2(X1,X2)
      | ~ id(X3,sK10(X3,X0))
      | ~ r1(X0) ),
    inference(resolution,[],[f428,f75]) ).

fof(f694,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X2,sK10(X2,X3))
      | ~ r2(X0,X1)
      | ~ r1(X0)
      | ~ r1(X3)
      | ~ id(X1,sK8(X2,X3)) ),
    inference(resolution,[],[f678,f48]) ).

fof(f717,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK10(X3,X2),X3)
      | ~ r1(X0)
      | ~ r1(X2)
      | ~ id(X1,sK8(X3,X2))
      | ~ r2(X0,X1) ),
    inference(resolution,[],[f694,f48]) ).

fof(f864,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X3,sK10(sK1(X3),X1))
      | ~ r1(X1)
      | ~ id(X2,sK8(sK1(X3),X1))
      | ~ r2(X0,X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f717,f38]) ).

fof(f991,plain,
    ! [X2,X0,X1] :
      ( ~ id(X1,sK8(sK1(X0),X0))
      | ~ r1(X0)
      | ~ r2(X2,X1)
      | ~ r1(X2) ),
    inference(resolution,[],[f864,f74]) ).

fof(f997,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X3,sK8(sK1(X0),X0))
      | ~ r2(X1,X2)
      | ~ r1(X1)
      | ~ id(X2,X3)
      | ~ r1(X0) ),
    inference(resolution,[],[f991,f49]) ).

fof(f1011,plain,
    ! [X2,X0,X1] :
      ( ~ id(X1,sK9(sK1(X2),X2))
      | ~ r1(X0)
      | ~ r2(X0,X1)
      | ~ r1(X2) ),
    inference(resolution,[],[f997,f75]) ).

fof(f1016,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK9(sK1(X2),X2),X1)
      | ~ r2(X0,X1)
      | ~ r1(X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f1011,f48]) ).

fof(f1115,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r3(X1,X2,sK9(sK1(X3),X3))
      | ~ r1(X3)
      | ~ r1(X0)
      | ~ r2(X0,sK2(X1,X2)) ),
    inference(resolution,[],[f1016,f42]) ).

fof(f1125,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ id(sK9(sK1(X0),X0),X6)
      | ~ r1(X1)
      | ~ r2(X1,sK2(X2,X3))
      | ~ id(X2,X4)
      | ~ id(X3,X5)
      | ~ r1(X0)
      | ~ r3(X4,X5,X6) ),
    inference(resolution,[],[f1115,f59]) ).

fof(f1300,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r3(X3,X4,sK8(sK1(X5),X5))
      | ~ r2(X0,sK2(X1,X2))
      | ~ id(X1,X3)
      | ~ id(X2,X4)
      | ~ r1(X5)
      | ~ r1(X0) ),
    inference(resolution,[],[f1125,f75]) ).

fof(f1316,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X1,sK11(sK1(X3),X3))
      | ~ r2(X0,sK2(X1,X2))
      | ~ id(X2,sK1(X3))
      | ~ r1(X3)
      | ~ r1(X0) ),
    inference(resolution,[],[f1300,f72]) ).

fof(f1320,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK11(sK1(X3),X3),X1)
      | ~ id(X2,sK1(X3))
      | ~ r1(X3)
      | ~ r1(X0)
      | ~ r2(X0,sK2(X1,X2)) ),
    inference(resolution,[],[f1316,f48]) ).

fof(f1340,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r4(X3,X4,sK11(sK1(X1),X1))
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ r2(X2,sK2(sK3(X3,X4),X0))
      | ~ id(X0,sK1(X1)) ),
    inference(resolution,[],[f1320,f46]) ).

fof(f1351,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X1,sK2(sK3(sK1(X0),X0),X2))
      | ~ r1(X1)
      | ~ r1(X0)
      | ~ id(X2,sK1(X0)) ),
    inference(resolution,[],[f1340,f71]) ).

fof(f1356,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ id(X4,sK2(sK3(sK1(X1),X1),X2))
      | ~ r1(X1)
      | ~ id(X2,sK1(X1))
      | ~ id(X3,X0)
      | ~ r1(X0)
      | ~ r2(X3,X4) ),
    inference(resolution,[],[f1351,f56]) ).

fof(f1358,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r3(sK3(sK1(X0),X0),X1,X4)
      | ~ id(X1,sK1(X0))
      | ~ id(X2,X3)
      | ~ r1(X3)
      | ~ r2(X2,X4)
      | ~ r1(X0) ),
    inference(resolution,[],[f1356,f42]) ).

fof(f2746,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK6(sK3(sK1(X0),X0),X1),sK1(X0))
      | ~ id(X2,X3)
      | ~ r1(X3)
      | ~ r2(X2,sK5(sK3(sK1(X0),X0),X1))
      | ~ r1(X0) ),
    inference(resolution,[],[f1358,f68]) ).

fof(f2778,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X2,sK6(sK3(sK1(X2),X2),X3))
      | ~ r1(X1)
      | ~ r2(X0,sK5(sK3(sK1(X2),X2),X3))
      | ~ r1(X2)
      | ~ id(X0,X1) ),
    inference(resolution,[],[f2746,f38]) ).

fof(f2785,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X1,sK5(sK3(sK1(X2),X2),X2))
      | ~ r1(X0)
      | ~ r1(X2)
      | ~ id(X1,X0) ),
    inference(resolution,[],[f2778,f69]) ).

fof(f2789,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ id(sK5(sK3(sK1(X1),X1),X1),X4)
      | ~ r1(X1)
      | ~ id(X2,X0)
      | ~ id(X2,X3)
      | ~ r1(X0)
      | ~ r2(X3,X4) ),
    inference(resolution,[],[f2785,f55]) ).

fof(f2796,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X3,sK4(sK3(sK1(X0),X0),X0))
      | ~ id(X1,X2)
      | ~ id(X1,X3)
      | ~ r1(X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f2789,f70]) ).

fof(f2812,plain,
    ! [X2,X0,X1] :
      ( ~ id(X0,sK7(sK3(sK1(X2),X2),X2))
      | ~ id(X0,X1)
      | ~ r1(X1)
      | ~ r1(X2) ),
    inference(resolution,[],[f2796,f67]) ).

fof(f2816,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK7(sK3(sK1(X2),X2),X2),X0)
      | ~ r1(X1)
      | ~ r1(X2)
      | ~ id(X0,X1) ),
    inference(resolution,[],[f2812,f48]) ).

fof(f2863,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r3(X2,X3,sK7(sK3(sK1(X1),X1),X1))
      | ~ r1(X1)
      | ~ id(sK2(X2,X3),X0)
      | ~ r1(X0) ),
    inference(resolution,[],[f2816,f42]) ).

fof(f2869,plain,
    ! [X0,X1] :
      ( ~ id(sK2(sK3(sK1(X0),X0),X0),X1)
      | ~ r1(X0)
      | ~ r1(X1) ),
    inference(resolution,[],[f2863,f66]) ).

fof(f2876,plain,
    ! [X0,X1] :
      ( ~ id(X1,sK2(sK3(sK1(X0),X0),X0))
      | ~ r1(X1)
      | ~ r1(X0) ),
    inference(resolution,[],[f2869,f48]) ).

fof(f2909,plain,
    ! [X0,X1] :
      ( ~ r3(sK3(sK1(X1),X1),X1,X0)
      | ~ r1(X1)
      | ~ r1(X0) ),
    inference(resolution,[],[f2876,f42]) ).

fof(f2915,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ id(sK3(sK1(X0),X0),X2)
      | ~ r1(X1)
      | ~ r1(X0)
      | ~ id(X0,X3)
      | ~ id(X1,X4)
      | ~ r3(X2,X3,X4) ),
    inference(resolution,[],[f2909,f59]) ).

fof(f2925,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r3(sK3(sK1(X1),X1),X2,X3)
      | ~ r1(X1)
      | ~ id(X1,X2)
      | ~ id(X0,X3)
      | ~ r1(X0) ),
    inference(resolution,[],[f2915,f47]) ).

fof(f3017,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X3,sK2(sK3(sK1(X0),X0),X1))
      | ~ id(X0,X1)
      | ~ id(X2,X3)
      | ~ r1(X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f2925,f39]) ).

fof(f5196,plain,
    ! [X2,X0,X1] :
      ( ~ id(X2,sK2(sK3(sK1(X0),X0),X1))
      | ~ id(X0,X1)
      | ~ r1(X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f3017,f47]) ).

fof(f5201,plain,
    ! [X2,X0,X1] :
      ( ~ r3(sK3(sK1(X0),X0),X1,X2)
      | ~ r1(X2)
      | ~ r1(X0)
      | ~ id(X0,X1) ),
    inference(resolution,[],[f5196,f42]) ).

fof(f5211,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ id(X3,sK3(sK1(X1),X1))
      | ~ r1(X1)
      | ~ id(X1,X2)
      | ~ r1(X0)
      | ~ id(X4,X2)
      | ~ id(X5,X0)
      | ~ r3(X3,X4,X5) ),
    inference(resolution,[],[f5201,f60]) ).

fof(f5217,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r3(sK3(sK1(X0),X0),X3,X4)
      | ~ id(X0,X1)
      | ~ r1(X2)
      | ~ id(X3,X1)
      | ~ id(X4,X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f5211,f47]) ).

fof(f5234,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK13(sK3(sK1(X0),X0)),X1)
      | ~ r1(X2)
      | ~ id(X0,X1)
      | ~ id(sK12(sK3(sK1(X0),X0)),X2)
      | ~ r1(X0) ),
    inference(resolution,[],[f5217,f77]) ).

fof(f5258,plain,
    ! [X0,X1] :
      ( ~ r1(X0)
      | ~ id(X1,sK0)
      | ~ id(sK12(sK3(sK1(X1),X1)),X0)
      | ~ r1(X1)
      | ~ r1(sK13(sK3(sK1(X1),X1))) ),
    inference(resolution,[],[f5234,f34]) ).

fof(f5266,plain,
    ! [X0,X1] :
      ( ~ r1(X0)
      | ~ id(X1,sK0)
      | ~ id(sK12(sK3(sK1(X1),X1)),X0)
      | ~ r1(sK13(sK3(sK1(X1),X1))) ),
    inference(forward_subsumption_resolution,[],[f5258,f31]) ).

fof(f5267,plain,
    ! [X0,X1] :
      ( ~ id(sK12(sK3(sK1(X1),X1)),X0)
      | ~ id(X1,sK0)
      | ~ r1(X0) ),
    inference(forward_subsumption_resolution,[],[f5266,f78]) ).

fof(f5268,plain,
    ! [X0] :
      ( ~ r1(sK3(sK1(X0),X0))
      | ~ id(X0,sK0) ),
    inference(resolution,[],[f5267,f79]) ).

fof(f5289,plain,
    ! [X0,X1] :
      ( ~ id(X1,sK3(sK1(X0),X0))
      | ~ id(X0,sK0)
      | ~ r1(X1) ),
    inference(resolution,[],[f5268,f52]) ).

fof(f5291,plain,
    ! [X0,X1] :
      ( ~ r4(sK1(X0),X0,X1)
      | ~ r1(X1)
      | ~ id(X0,sK0) ),
    inference(resolution,[],[f5289,f46]) ).

fof(f5454,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r4(X2,X3,X4)
      | ~ id(X1,sK0)
      | ~ id(X2,sK1(X1))
      | ~ id(X3,X1)
      | ~ id(X4,X0)
      | ~ r1(X0) ),
    inference(resolution,[],[f5291,f64]) ).

fof(f5484,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK15(X1),X0)
      | ~ id(X1,sK1(X0))
      | ~ id(X0,sK0)
      | ~ id(sK14(X1),X2)
      | ~ r1(X2) ),
    inference(resolution,[],[f5454,f82]) ).

fof(f5489,plain,
    ! [X0,X1] :
      ( ~ id(X0,sK1(sK0))
      | ~ id(sK0,sK0)
      | ~ id(sK14(X0),X1)
      | ~ r1(X1)
      | ~ r1(sK15(X0)) ),
    inference(resolution,[],[f5484,f34]) ).

fof(f5497,plain,
    ! [X0,X1] :
      ( ~ id(X0,sK1(sK0))
      | ~ id(sK14(X0),X1)
      | ~ r1(X1)
      | ~ r1(sK15(X0)) ),
    inference(forward_subsumption_resolution,[],[f5489,f47]) ).

fof(f5498,plain,
    ! [X0,X1] :
      ( ~ id(sK14(X0),X1)
      | ~ id(X0,sK1(sK0))
      | ~ r1(X1) ),
    inference(forward_subsumption_resolution,[],[f5497,f83]) ).

fof(f5499,plain,
    ! [X0] :
      ( ~ id(X0,sK1(sK0))
      | ~ r1(sK16(X0)) ),
    inference(resolution,[],[f5498,f81]) ).

fof(f5514,plain,
    ! [X0] : ~ id(X0,sK1(sK0)),
    inference(forward_subsumption_resolution,[],[f5499,f80]) ).

fof(f5520,plain,
    $false,
    inference(resolution,[],[f5514,f79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUN071+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n008.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 21:53:58 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.86/3.23  % (1639940)Detected formulas, will run a generic FOF schedule.
% 16.86/3.23  % (1640018)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1323911351:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.86/3.23  % (1640024)dis-21_1_sil=8000:lcm=predicate:random_seed=2795179017:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 16.86/3.23  % (1640021)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3484544878:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.86/3.23  % (1640020)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1541448352:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.86/3.23  % (1640019)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1754107880:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.86/3.23  % (1640022)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1803428804:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.86/3.23  % (1640023)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=199006425:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.86/3.23  % (1640021)Instruction limit reached! 
% 16.86/3.23  % (1640021)------------------------------
% 16.86/3.23  % (1640021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.23  % (1640021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.23  % (1640021)CaDiCaL version: 2.1.3
% 16.86/3.23  % (1640021)Termination reason: Instruction limit
% 16.86/3.23  % (1640021)Termination phase: Saturation
% 16.86/3.23  % (1640021)Time elapsed: 0.059 s
% 16.86/3.23  % (1640021)Peak memory usage: 88 MB
% 16.86/3.23  % (1640021)Instructions burned: 111 (million)
% 16.86/3.23  % (1640022)Instruction limit reached! 
% 16.86/3.23  % (1640022)------------------------------
% 16.86/3.23  % (1640022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.23  % (1640022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.23  % (1640022)CaDiCaL version: 2.1.3
% 16.86/3.23  % (1640022)Termination reason: Instruction limit
% 16.86/3.23  % (1640022)Termination phase: Saturation
% 16.86/3.23  % (1640022)Time elapsed: 0.070 s
% 16.86/3.23  % (1640022)Peak memory usage: 88 MB
% 16.86/3.23  % (1640022)Instructions burned: 120 (million)
% 16.86/3.23  % (1640024)Instruction limit reached! 
% 16.86/3.23  % (1640024)------------------------------
% 16.86/3.23  % (1640024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.23  % (1640024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.23  % (1640024)CaDiCaL version: 2.1.3
% 16.86/3.23  % (1640024)Termination reason: Instruction limit
% 16.86/3.23  % (1640024)Termination phase: Saturation
% 16.86/3.23  % (1640024)Time elapsed: 0.078 s
% 16.86/3.23  % (1640024)Peak memory usage: 89 MB
% 16.86/3.23  % (1640024)Instructions burned: 130 (million)
% 16.86/3.23  % (1640023)Instruction limit reached! 
% 16.86/3.23  % (1640023)------------------------------
% 16.86/3.23  % (1640023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.23  % (1640023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.23  % (1640023)CaDiCaL version: 2.1.3
% 16.86/3.23  % (1640023)Termination reason: Instruction limit
% 16.86/3.23  % (1640023)Termination phase: Saturation
% 16.86/3.23  % (1640023)Time elapsed: 0.150 s
% 16.86/3.23  % (1640023)Peak memory usage: 89 MB
% 16.86/3.23  % (1640023)Instructions burned: 139 (million)
% 16.86/3.23  % (1640045)lrs+10_1_sil=8000:sp=occurrence:random_seed=3263042388:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.86/3.23  % (1640047)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3580865118:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 16.86/3.23  % (1640046)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3574947028:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 16.86/3.23  % (1640046)Instruction limit reached! 
% 16.86/3.23  % (1640046)------------------------------
% 16.86/3.23  % (1640046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.23  % (1640046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.07/4.22  % (1640046)CaDiCaL version: 2.1.3
% 24.07/4.22  % (1640046)Termination reason: Instruction limit
% 24.07/4.22  % (1640046)Termination phase: Saturation
% 24.07/4.22  % (1640046)Time elapsed: 0.087 s
% 24.07/4.22  % (1640046)Peak memory usage: 90 MB
% 24.07/4.22  % (1640046)Instructions burned: 158 (million)
% 24.07/4.22  % (1640048)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4150046427:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 24.07/4.22  % (1640045)Instruction limit reached! 
% 24.07/4.22  % (1640045)------------------------------
% 24.07/4.22  % (1640045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.07/4.22  % (1640045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.07/4.22  % (1640045)CaDiCaL version: 2.1.3
% 24.07/4.22  % (1640045)Termination reason: Instruction limit
% 24.07/4.22  % (1640045)Termination phase: Saturation
% 24.07/4.22  % (1640045)Time elapsed: 0.171 s
% 24.07/4.22  % (1640045)Peak memory usage: 91 MB
% 24.07/4.22  % (1640045)Instructions burned: 286 (million)
% 24.07/4.22  % (1640047)Instruction limit reached! 
% 24.07/4.22  % (1640047)------------------------------
% 24.07/4.22  % (1640047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.07/4.22  % (1640047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.07/4.22  % (1640047)CaDiCaL version: 2.1.3
% 24.07/4.22  % (1640047)Termination reason: Instruction limit
% 24.07/4.22  % (1640047)Termination phase: Saturation
% 24.07/4.22  % (1640047)Time elapsed: 0.205 s
% 24.07/4.22  % (1640047)Peak memory usage: 92 MB
% 24.07/4.22  % (1640047)Instructions burned: 326 (million)
% 24.07/4.22  % (1640048)Instruction limit reached! 
% 24.07/4.22  % (1640048)------------------------------
% 24.07/4.22  % (1640048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.07/4.22  % (1640048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.07/4.22  % (1640048)CaDiCaL version: 2.1.3
% 24.07/4.22  % (1640048)Termination reason: Instruction limit
% 24.07/4.22  % (1640048)Termination phase: Saturation
% 24.07/4.22  % (1640048)Time elapsed: 0.127 s
% 24.07/4.22  % (1640048)Peak memory usage: 91 MB
% 24.07/4.22  % (1640048)Instructions burned: 248 (million)
% 24.07/4.22  % (1640052)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1497947786:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 24.07/4.22  % (1640054)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3626397088:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 24.07/4.22  % (1640052)Instruction limit reached! 
% 24.07/4.22  % (1640052)------------------------------
% 24.07/4.22  % (1640052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.07/4.22  % (1640052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.07/4.22  % (1640052)CaDiCaL version: 2.1.3
% 24.07/4.22  % (1640052)Termination reason: Instruction limit
% 24.07/4.22  % (1640052)Termination phase: Saturation
% 24.07/4.22  % (1640052)Time elapsed: 0.227 s
% 24.07/4.22  % (1640052)Peak memory usage: 88 MB
% 24.07/4.22  % (1640052)Instructions burned: 294 (million)
% 24.07/4.22  % (1640055)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1937348788:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 24.07/4.22  % (1640058)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=611846738:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 24.07/4.22  % (1640055)Instruction limit reached! 
% 24.07/4.22  % (1640055)------------------------------
% 24.07/4.22  % (1640055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.07/4.22  % (1640055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.07/4.22  % (1640055)CaDiCaL version: 2.1.3
% 24.07/4.22  % (1640055)Termination reason: Instruction limit
% 24.07/4.22  % (1640055)Termination phase: Saturation
% 24.07/4.22  % (1640055)Time elapsed: 0.099 s
% 24.07/4.22  % (1640055)Peak memory usage: 88 MB
% 24.07/4.22  % (1640055)Instructions burned: 114 (million)
% 24.07/4.22  % (1640058)Instruction limit reached! 
% 24.07/4.22  % (1640058)------------------------------
% 24.07/4.22  % (1640058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.07/4.22  % (1640058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.07/4.22  % (1640058)CaDiCaL version: 2.1.3
% 24.07/4.22  % (1640058)Termination reason: Instruction limit
% 24.07/4.22  % (1640058)Termination phase: Saturation
% 61.63/9.53  % (1640058)Time elapsed: 0.115 s
% 61.63/9.53  % (1640058)Peak memory usage: 89 MB
% 61.63/9.53  % (1640058)Instructions burned: 127 (million)
% 61.63/9.53  % (1640074)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2950868385:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 61.63/9.53  % (1640078)lrs+10_1_sil=8000:sp=occurrence:random_seed=1752234251:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 61.63/9.53  % (1640074)Instruction limit reached! 
% 61.63/9.53  % (1640074)------------------------------
% 61.63/9.53  % (1640074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.63/9.53  % (1640074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.63/9.53  % (1640074)CaDiCaL version: 2.1.3
% 61.63/9.53  % (1640074)Termination reason: Instruction limit
% 61.63/9.53  % (1640074)Termination phase: Saturation
% 61.63/9.53  % (1640074)Time elapsed: 0.099 s
% 61.63/9.53  % (1640074)Peak memory usage: 89 MB
% 61.63/9.53  % (1640074)Instructions burned: 114 (million)
% 61.63/9.53  % (1640079)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=88568879:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 61.63/9.53  % (1640084)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1164754240:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 61.63/9.53  % (1640079)Instruction limit reached! 
% 61.63/9.53  % (1640079)------------------------------
% 61.63/9.53  % (1640079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.63/9.53  % (1640079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.63/9.53  % (1640079)CaDiCaL version: 2.1.3
% 61.63/9.53  % (1640079)Termination reason: Instruction limit
% 61.63/9.53  % (1640079)Termination phase: Saturation
% 61.63/9.53  % (1640079)Time elapsed: 0.251 s
% 61.63/9.53  % (1640079)Peak memory usage: 90 MB
% 61.63/9.53  % (1640079)Instructions burned: 439 (million)
% 61.63/9.53  % (1640090)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1549762423:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 61.63/9.53  % (1640090)Instruction limit reached! 
% 61.63/9.53  % (1640090)------------------------------
% 61.63/9.53  % (1640090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.63/9.53  % (1640090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.63/9.53  % (1640090)CaDiCaL version: 2.1.3
% 61.63/9.53  % (1640090)Termination reason: Instruction limit
% 61.63/9.53  % (1640090)Termination phase: Saturation
% 61.63/9.53  % (1640090)Time elapsed: 0.071 s
% 61.63/9.53  % (1640090)Peak memory usage: 90 MB
% 61.63/9.53  % (1640090)Instructions burned: 136 (million)
% 61.63/9.53  % (1640078)Instruction limit reached! 
% 61.63/9.53  % (1640078)------------------------------
% 61.63/9.53  % (1640078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.63/9.53  % (1640078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.63/9.53  % (1640078)CaDiCaL version: 2.1.3
% 61.63/9.53  % (1640078)Termination reason: Instruction limit
% 61.63/9.53  % (1640078)Termination phase: Saturation
% 61.63/9.53  % (1640078)Time elapsed: 0.582 s
% 61.63/9.53  % (1640078)Peak memory usage: 94 MB
% 61.63/9.53  % (1640078)Instructions burned: 907 (million)
% 61.63/9.53  % (1640131)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=50814084:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 61.63/9.53  % (1640132)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1379293603:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 61.63/9.53  % (1640131)Instruction limit reached! 
% 61.63/9.53  % (1640131)------------------------------
% 61.63/9.53  % (1640131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.63/9.53  % (1640131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.63/9.53  % (1640131)CaDiCaL version: 2.1.3
% 61.63/9.53  % (1640131)Termination reason: Instruction limit
% 61.63/9.53  % (1640131)Termination phase: Saturation
% 61.63/9.53  % (1640131)Time elapsed: 0.331 s
% 61.63/9.53  % (1640131)Peak memory usage: 93 MB
% 61.63/9.53  % (1640131)Instructions burned: 593 (million)
% 61.63/9.53  % (1640135)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1162745097:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 90.63/13.65  % (1640135)Instruction limit reached! 
% 90.63/13.65  % (1640135)------------------------------
% 90.63/13.65  % (1640135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.63/13.65  % (1640135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.65  % (1640135)CaDiCaL version: 2.1.3
% 90.63/13.65  % (1640135)Termination reason: Instruction limit
% 90.63/13.65  % (1640135)Termination phase: Saturation
% 90.63/13.65  % (1640135)Time elapsed: 0.074 s
% 90.63/13.65  % (1640135)Peak memory usage: 90 MB
% 90.63/13.65  % (1640135)Instructions burned: 125 (million)
% 90.63/13.65  % (1640054)Instruction limit reached! 
% 90.63/13.65  % (1640054)------------------------------
% 90.63/13.65  % (1640054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.63/13.65  % (1640054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.65  % (1640054)CaDiCaL version: 2.1.3
% 90.63/13.65  % (1640054)Termination reason: Instruction limit
% 90.63/13.65  % (1640054)Termination phase: Saturation
% 90.63/13.65  % (1640054)Time elapsed: 1.736 s
% 90.63/13.65  % (1640054)Peak memory usage: 139 MB
% 90.63/13.65  % (1640054)Instructions burned: 2351 (million)
% 90.63/13.65  % (1640137)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=898840400:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 90.63/13.65  % (1640138)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2707121102:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 90.63/13.65  % (1640138)Refutation not found, incomplete strategy
% 90.63/13.65  % (1640138)------------------------------
% 90.63/13.65  % (1640138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.63/13.65  % (1640138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.65  % (1640138)CaDiCaL version: 2.1.3
% 90.63/13.65  % (1640138)Termination reason: Refutation not found, incomplete strategy
% 90.63/13.65  % (1640138)Time elapsed: 0.002 s
% 90.63/13.65  % (1640138)Peak memory usage: 88 MB
% 90.63/13.65  % (1640138)Instructions burned: 2 (million)
% 90.63/13.65  % (1640137)Instruction limit reached! 
% 90.63/13.65  % (1640137)------------------------------
% 90.63/13.65  % (1640137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.63/13.65  % (1640137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.65  % (1640137)CaDiCaL version: 2.1.3
% 90.63/13.65  % (1640137)Termination reason: Instruction limit
% 90.63/13.65  % (1640137)Termination phase: Saturation
% 90.63/13.65  % (1640137)Time elapsed: 0.084 s
% 90.63/13.65  % (1640137)Peak memory usage: 89 MB
% 90.63/13.65  % (1640137)Instructions burned: 135 (million)
% 90.63/13.65  % (1640141)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=592123584:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 90.63/13.65  % (1640138)------------------------------
% 90.63/13.65  % (1640138)------------------------------
% 90.63/13.65  % (1640143)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=954689219:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 90.63/13.65  % (1640141)Instruction limit reached! 
% 90.63/13.65  % (1640141)------------------------------
% 90.63/13.65  % (1640141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.63/13.65  % (1640141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.65  % (1640141)CaDiCaL version: 2.1.3
% 90.63/13.65  % (1640141)Termination reason: Instruction limit
% 90.63/13.65  % (1640141)Termination phase: Saturation
% 90.63/13.65  % (1640141)Time elapsed: 0.262 s
% 90.63/13.65  % (1640141)Peak memory usage: 92 MB
% 90.63/13.65  % (1640141)Instructions burned: 431 (million)
% 90.63/13.65  % (1640145)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3682365237:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2968 on theBenchmark for (2968ds/150Mi)
% 90.63/13.65  % (1640145)Instruction limit reached! 
% 90.63/13.65  % (1640145)------------------------------
% 90.63/13.65  % (1640145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.63/13.65  % (1640145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.65  % (1640145)CaDiCaL version: 2.1.3
% 90.63/13.65  % (1640145)Termination reason: Instruction limit
% 90.63/13.65  % (1640145)Termination phase: Saturation
% 52.46/14.70  % (1640145)Time elapsed: 0.095 s
% 52.46/14.70  % (1640145)Peak memory usage: 92 MB
% 52.46/14.70  % (1640145)Instructions burned: 150 (million)
% 52.46/14.70  % (1640147)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=283243404:i=14155:bd=all_2966 on theBenchmark for (2966ds/14155Mi)
% 52.46/14.70  % (1640084)Instruction limit reached! 
% 52.46/14.70  % (1640084)------------------------------
% 52.46/14.70  % (1640084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.70  % (1640084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.70  % (1640084)CaDiCaL version: 2.1.3
% 52.46/14.70  % (1640084)Termination reason: Instruction limit
% 52.46/14.70  % (1640084)Termination phase: Saturation
% 52.46/14.70  % (1640084)Time elapsed: 3.302 s
% 52.46/14.70  % (1640084)Peak memory usage: 153 MB
% 52.46/14.70  % (1640084)Instructions burned: 5202 (million)
% 52.46/14.70  % (1640262)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2422908621:i=667:av=off:fsr=off_2953 on theBenchmark for (2953ds/667Mi)
% 52.46/14.70  % (1640262)Instruction limit reached! 
% 52.46/14.71  % (1640262)------------------------------
% 52.46/14.71  % (1640262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640262)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640262)Termination reason: Instruction limit
% 52.46/14.71  % (1640262)Termination phase: Saturation
% 52.46/14.71  % (1640262)Time elapsed: 0.263 s
% 52.46/14.71  % (1640262)Peak memory usage: 91 MB
% 52.46/14.71  % (1640262)Instructions burned: 669 (million)
% 52.46/14.71  % (1640264)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1535151095:s2a=on:i=185:s2at=1.8:fdi=4_2949 on theBenchmark for (2949ds/185Mi)
% 52.46/14.71  % (1640264)Instruction limit reached! 
% 52.46/14.71  % (1640264)------------------------------
% 52.46/14.71  % (1640264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640264)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640264)Termination reason: Instruction limit
% 52.46/14.71  % (1640264)Termination phase: Saturation
% 52.46/14.71  % (1640264)Time elapsed: 0.090 s
% 52.46/14.71  % (1640264)Peak memory usage: 90 MB
% 52.46/14.71  % (1640264)Instructions burned: 187 (million)
% 52.46/14.71  % (1640266)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=397768284:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2946 on theBenchmark for (2946ds/193Mi)
% 52.46/14.71  % (1640266)Instruction limit reached! 
% 52.46/14.71  % (1640266)------------------------------
% 52.46/14.71  % (1640266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640266)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640266)Termination reason: Instruction limit
% 52.46/14.71  % (1640266)Termination phase: Saturation
% 52.46/14.71  % (1640266)Time elapsed: 0.108 s
% 52.46/14.71  % (1640266)Peak memory usage: 91 MB
% 52.46/14.71  % (1640266)Instructions burned: 193 (million)
% 52.46/14.71  % (1640268)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=452025298:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2943 on theBenchmark for (2943ds/4850Mi)
% 52.46/14.71  % (1640143)Instruction limit reached! 
% 52.46/14.71  % (1640143)------------------------------
% 52.46/14.71  % (1640143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640143)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640143)Termination reason: Instruction limit
% 52.46/14.71  % (1640143)Termination phase: Saturation
% 52.46/14.71  % (1640143)Time elapsed: 3.857 s
% 52.46/14.71  % (1640143)Peak memory usage: 152 MB
% 52.46/14.71  % (1640143)Instructions burned: 6061 (million)
% 52.46/14.71  % (1640270)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=952791648:i=12111:sd=1:ss=included_2930 on theBenchmark for (2930ds/12111Mi)
% 52.46/14.71  % (1640268)Instruction limit reached! 
% 52.46/14.71  % (1640268)------------------------------
% 52.46/14.71  % (1640268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640268)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640268)Termination reason: Instruction limit
% 52.46/14.71  % (1640268)Termination phase: Saturation
% 52.46/14.71  % (1640268)Time elapsed: 2.884 s
% 52.46/14.71  % (1640268)Peak memory usage: 111 MB
% 52.46/14.71  % (1640268)Instructions burned: 4851 (million)
% 52.46/14.71  % (1640272)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4025805485:i=319:kws=precedence:fsr=off_2913 on theBenchmark for (2913ds/319Mi)
% 52.46/14.71  % (1640272)Instruction limit reached! 
% 52.46/14.71  % (1640272)------------------------------
% 52.46/14.71  % (1640272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640272)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640272)Termination reason: Instruction limit
% 52.46/14.71  % (1640272)Termination phase: Saturation
% 52.46/14.71  % (1640272)Time elapsed: 0.177 s
% 52.46/14.71  % (1640272)Peak memory usage: 93 MB
% 52.46/14.71  % (1640272)Instructions burned: 320 (million)
% 52.46/14.71  % (1640274)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1970579447:i=2064:ep=RST_2909 on theBenchmark for (2909ds/2064Mi)
% 52.46/14.71  % (1640274)Instruction limit reached! 
% 52.46/14.71  % (1640274)------------------------------
% 52.46/14.71  % (1640274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640274)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640274)Termination reason: Instruction limit
% 52.46/14.71  % (1640274)Termination phase: Saturation
% 52.46/14.71  % (1640274)Time elapsed: 1.116 s
% 52.46/14.71  % (1640274)Peak memory usage: 94 MB
% 52.46/14.71  % (1640274)Instructions burned: 2066 (million)
% 52.46/14.71  % (1640482)dis-1011_128_sil=32000:random_seed=354404382:i=3706:ep=RST:av=off_2897 on theBenchmark for (2897ds/3706Mi)
% 52.46/14.71  % (1640132)Instruction limit reached! 
% 52.46/14.71  % (1640132)------------------------------
% 52.46/14.71  % (1640132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640132)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640132)Termination reason: Instruction limit
% 52.46/14.71  % (1640132)Termination phase: Saturation
% 52.46/14.71  % (1640132)Time elapsed: 8.630 s
% 52.46/14.71  % (1640132)Peak memory usage: 206 MB
% 52.46/14.71  % (1640132)Instructions burned: 13194 (million)
% 52.46/14.71  % (1640512)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1884241814:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2894 on theBenchmark for (2894ds/757Mi)
% 52.46/14.71  % (1640147)Instruction limit reached! 
% 52.46/14.71  % (1640147)------------------------------
% 52.46/14.71  % (1640147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640147)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640147)Termination reason: Instruction limit
% 52.46/14.71  % (1640147)Termination phase: Saturation
% 52.46/14.71  % (1640147)Time elapsed: 7.357 s
% 52.46/14.71  % (1640147)Peak memory usage: 258 MB
% 52.46/14.71  % (1640147)Instructions burned: 14156 (million)
% 52.46/14.71  % (1640545)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2974066724:i=13913:ss=axioms:sgt=8_2890 on theBenchmark for (2890ds/13913Mi)
% 52.46/14.71  % (1640512)Instruction limit reached! 
% 52.46/14.71  % (1640512)------------------------------
% 52.46/14.71  % (1640512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640512)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640512)Termination reason: Instruction limit
% 52.46/14.71  % (1640512)Termination phase: Saturation
% 52.46/14.71  % (1640512)Time elapsed: 0.610 s
% 52.46/14.71  % (1640512)Peak memory usage: 99 MB
% 52.46/14.71  % (1640512)Instructions burned: 757 (million)
% 52.46/14.71  % (1640547)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3329649413:i=9925:aac=none_2886 on theBenchmark for (2886ds/9925Mi)
% 52.46/14.71  % (1640482)Instruction limit reached! 
% 52.46/14.71  % (1640482)------------------------------
% 52.46/14.71  % (1640482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640482)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640482)Termination reason: Instruction limit
% 52.46/14.71  % (1640482)Termination phase: Saturation
% 52.46/14.71  % (1640482)Time elapsed: 2.326 s
% 52.46/14.71  % (1640482)Peak memory usage: 109 MB
% 52.46/14.71  % (1640482)Instructions burned: 3706 (million)
% 52.46/14.71  % (1640549)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2312828542:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2871 on theBenchmark for (2871ds/2479Mi)
% 52.46/14.71  % (1640270)Instruction limit reached! 
% 52.46/14.71  % (1640270)------------------------------
% 52.46/14.71  % (1640270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640270)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640270)Termination reason: Instruction limit
% 52.46/14.71  % (1640270)Termination phase: Saturation
% 52.46/14.71  % (1640270)Time elapsed: 6.174 s
% 52.46/14.71  % (1640270)Peak memory usage: 230 MB
% 52.46/14.71  % (1640270)Instructions burned: 12113 (million)
% 52.46/14.71  % (1640551)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2281127493:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2867 on theBenchmark for (2867ds/440Mi)
% 52.46/14.71  % (1640547)First to succeed.
% 52.46/14.71  % (1640547)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1639940"
% 52.46/14.71  % (1640551)Instruction limit reached! 
% 52.46/14.71  % (1640551)------------------------------
% 52.46/14.71  % (1640551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.46/14.71  % (1640551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.46/14.71  % (1640551)CaDiCaL version: 2.1.3
% 52.46/14.71  % (1640551)Termination reason: Instruction limit
% 52.46/14.71  % (1640551)Termination phase: Saturation
% 52.46/14.71  % (1640551)Time elapsed: 0.252 s
% 52.46/14.71  % (1640551)Peak memory usage: 92 MB
% 52.46/14.71  % (1640551)Instructions burned: 441 (million)
% 52.46/14.71  % (1640547)Refutation found. Thanks to Tanya!
% 52.46/14.71  % SZS status Theorem for theBenchmark
% 52.46/14.71  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/14.91  % (1640547)------------------------------
% 0.17/14.91  % (1640547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/14.91  % (1640547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/14.91  % (1640547)CaDiCaL version: 2.1.3
% 0.17/14.91  % (1640547)Termination reason: Refutation
% 0.17/14.91  % (1640547)Time elapsed: 2.063 s
% 0.17/14.91  % (1640547)Peak memory usage: 146 MB
% 0.17/14.91  % (1640547)Instructions burned: 3062 (million)
% 0.17/14.91  % (1640547)------------------------------
% 0.17/14.91  % (1640547)------------------------------
% 0.17/14.91  % (1639940)Success in time 13.854 s
% 0.17/14.91  % Vampire exiting
%------------------------------------------------------------------------------