TSTP Solution File: ALG182+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG182+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 : Fri May  3 02:04:07 EDT 2024

% Result   : Theorem 0.35s 1.04s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( e13 != e14
    & e12 != e14
    & e12 != e13
    & e11 != e14
    & e11 != e13
    & e11 != e12
    & e10 != e14
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( e23 != e24
    & e22 != e24
    & e22 != e23
    & e21 != e24
    & e21 != e23
    & e21 != e22
    & e20 != e24
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f4,axiom,
    ( e11 = op1(e14,e14)
    & e13 = op1(e14,e13)
    & e14 = op1(e14,e12)
    & e10 = op1(e14,e11)
    & e12 = op1(e14,e10)
    & e12 = op1(e13,e14)
    & e10 = op1(e13,e13)
    & e13 = op1(e13,e12)
    & e11 = op1(e13,e11)
    & e14 = op1(e13,e10)
    & e10 = op1(e12,e14)
    & e14 = op1(e12,e13)
    & e12 = op1(e12,e12)
    & e13 = op1(e12,e11)
    & e11 = op1(e12,e10)
    & e13 = op1(e11,e14)
    & e12 = op1(e11,e13)
    & e11 = op1(e11,e12)
    & e14 = op1(e11,e11)
    & e10 = op1(e11,e10)
    & e14 = op1(e10,e14)
    & e11 = op1(e10,e13)
    & e10 = op1(e10,e12)
    & e12 = op1(e10,e11)
    & e13 = op1(e10,e10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( e24 = op2(e24,e24)
    & e21 = op2(e24,e23)
    & e20 = op2(e24,e22)
    & e22 = op2(e24,e21)
    & e23 = op2(e24,e20)
    & e22 = op2(e23,e24)
    & e23 = op2(e23,e23)
    & e21 = op2(e23,e22)
    & e20 = op2(e23,e21)
    & e24 = op2(e23,e20)
    & e23 = op2(e22,e24)
    & e20 = op2(e22,e23)
    & e22 = op2(e22,e22)
    & e24 = op2(e22,e21)
    & e21 = op2(e22,e20)
    & e20 = op2(e21,e24)
    & e24 = op2(e21,e23)
    & e23 = op2(e21,e22)
    & e21 = op2(e21,e21)
    & e22 = op2(e21,e20)
    & e21 = op2(e20,e24)
    & e22 = op2(e20,e23)
    & e24 = op2(e20,e22)
    & e23 = op2(e20,e21)
    & e20 = op2(e20,e20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f6,conjecture,
    ( ( ( e14 = j(e24)
        | e13 = j(e24)
        | e12 = j(e24)
        | e11 = j(e24)
        | e10 = j(e24) )
      & ( e14 = j(e23)
        | e13 = j(e23)
        | e12 = j(e23)
        | e11 = j(e23)
        | e10 = j(e23) )
      & ( e14 = j(e22)
        | e13 = j(e22)
        | e12 = j(e22)
        | e11 = j(e22)
        | e10 = j(e22) )
      & ( e14 = j(e21)
        | e13 = j(e21)
        | e12 = j(e21)
        | e11 = j(e21)
        | e10 = j(e21) )
      & ( e14 = j(e20)
        | e13 = j(e20)
        | e12 = j(e20)
        | e11 = j(e20)
        | e10 = j(e20) )
      & ( e24 = h(e14)
        | e23 = h(e14)
        | e22 = h(e14)
        | e21 = h(e14)
        | e20 = h(e14) )
      & ( e24 = h(e13)
        | e23 = h(e13)
        | e22 = h(e13)
        | e21 = h(e13)
        | e20 = h(e13) )
      & ( e24 = h(e12)
        | e23 = h(e12)
        | e22 = h(e12)
        | e21 = h(e12)
        | e20 = h(e12) )
      & ( e24 = h(e11)
        | e23 = h(e11)
        | e22 = h(e11)
        | e21 = h(e11)
        | e20 = h(e11) )
      & ( e24 = h(e10)
        | e23 = h(e10)
        | e22 = h(e10)
        | e21 = h(e10)
        | e20 = h(e10) ) )
   => ~ ( e14 = j(h(e14))
        & e13 = j(h(e13))
        & e12 = j(h(e12))
        & e11 = j(h(e11))
        & e10 = j(h(e10))
        & e24 = h(j(e24))
        & e23 = h(j(e23))
        & e22 = h(j(e22))
        & e21 = h(j(e21))
        & e20 = h(j(e20))
        & j(op2(e24,e24)) = op1(j(e24),j(e24))
        & j(op2(e24,e23)) = op1(j(e24),j(e23))
        & j(op2(e24,e22)) = op1(j(e24),j(e22))
        & j(op2(e24,e21)) = op1(j(e24),j(e21))
        & j(op2(e24,e20)) = op1(j(e24),j(e20))
        & j(op2(e23,e24)) = op1(j(e23),j(e24))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e22,e24)) = op1(j(e22),j(e24))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e21,e24)) = op1(j(e21),j(e24))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e20,e24)) = op1(j(e20),j(e24))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & h(op1(e14,e14)) = op2(h(e14),h(e14))
        & h(op1(e14,e13)) = op2(h(e14),h(e13))
        & h(op1(e14,e12)) = op2(h(e14),h(e12))
        & h(op1(e14,e11)) = op2(h(e14),h(e11))
        & h(op1(e14,e10)) = op2(h(e14),h(e10))
        & h(op1(e13,e14)) = op2(h(e13),h(e14))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e12,e14)) = op2(h(e12),h(e14))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e11,e14)) = op2(h(e11),h(e14))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e10,e14)) = op2(h(e10),h(e14))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f7,negated_conjecture,
    ~ ( ( ( e14 = j(e24)
          | e13 = j(e24)
          | e12 = j(e24)
          | e11 = j(e24)
          | e10 = j(e24) )
        & ( e14 = j(e23)
          | e13 = j(e23)
          | e12 = j(e23)
          | e11 = j(e23)
          | e10 = j(e23) )
        & ( e14 = j(e22)
          | e13 = j(e22)
          | e12 = j(e22)
          | e11 = j(e22)
          | e10 = j(e22) )
        & ( e14 = j(e21)
          | e13 = j(e21)
          | e12 = j(e21)
          | e11 = j(e21)
          | e10 = j(e21) )
        & ( e14 = j(e20)
          | e13 = j(e20)
          | e12 = j(e20)
          | e11 = j(e20)
          | e10 = j(e20) )
        & ( e24 = h(e14)
          | e23 = h(e14)
          | e22 = h(e14)
          | e21 = h(e14)
          | e20 = h(e14) )
        & ( e24 = h(e13)
          | e23 = h(e13)
          | e22 = h(e13)
          | e21 = h(e13)
          | e20 = h(e13) )
        & ( e24 = h(e12)
          | e23 = h(e12)
          | e22 = h(e12)
          | e21 = h(e12)
          | e20 = h(e12) )
        & ( e24 = h(e11)
          | e23 = h(e11)
          | e22 = h(e11)
          | e21 = h(e11)
          | e20 = h(e11) )
        & ( e24 = h(e10)
          | e23 = h(e10)
          | e22 = h(e10)
          | e21 = h(e10)
          | e20 = h(e10) ) )
     => ~ ( e14 = j(h(e14))
          & e13 = j(h(e13))
          & e12 = j(h(e12))
          & e11 = j(h(e11))
          & e10 = j(h(e10))
          & e24 = h(j(e24))
          & e23 = h(j(e23))
          & e22 = h(j(e22))
          & e21 = h(j(e21))
          & e20 = h(j(e20))
          & j(op2(e24,e24)) = op1(j(e24),j(e24))
          & j(op2(e24,e23)) = op1(j(e24),j(e23))
          & j(op2(e24,e22)) = op1(j(e24),j(e22))
          & j(op2(e24,e21)) = op1(j(e24),j(e21))
          & j(op2(e24,e20)) = op1(j(e24),j(e20))
          & j(op2(e23,e24)) = op1(j(e23),j(e24))
          & j(op2(e23,e23)) = op1(j(e23),j(e23))
          & j(op2(e23,e22)) = op1(j(e23),j(e22))
          & j(op2(e23,e21)) = op1(j(e23),j(e21))
          & j(op2(e23,e20)) = op1(j(e23),j(e20))
          & j(op2(e22,e24)) = op1(j(e22),j(e24))
          & j(op2(e22,e23)) = op1(j(e22),j(e23))
          & j(op2(e22,e22)) = op1(j(e22),j(e22))
          & j(op2(e22,e21)) = op1(j(e22),j(e21))
          & j(op2(e22,e20)) = op1(j(e22),j(e20))
          & j(op2(e21,e24)) = op1(j(e21),j(e24))
          & j(op2(e21,e23)) = op1(j(e21),j(e23))
          & j(op2(e21,e22)) = op1(j(e21),j(e22))
          & j(op2(e21,e21)) = op1(j(e21),j(e21))
          & j(op2(e21,e20)) = op1(j(e21),j(e20))
          & j(op2(e20,e24)) = op1(j(e20),j(e24))
          & j(op2(e20,e23)) = op1(j(e20),j(e23))
          & j(op2(e20,e22)) = op1(j(e20),j(e22))
          & j(op2(e20,e21)) = op1(j(e20),j(e21))
          & j(op2(e20,e20)) = op1(j(e20),j(e20))
          & h(op1(e14,e14)) = op2(h(e14),h(e14))
          & h(op1(e14,e13)) = op2(h(e14),h(e13))
          & h(op1(e14,e12)) = op2(h(e14),h(e12))
          & h(op1(e14,e11)) = op2(h(e14),h(e11))
          & h(op1(e14,e10)) = op2(h(e14),h(e10))
          & h(op1(e13,e14)) = op2(h(e13),h(e14))
          & h(op1(e13,e13)) = op2(h(e13),h(e13))
          & h(op1(e13,e12)) = op2(h(e13),h(e12))
          & h(op1(e13,e11)) = op2(h(e13),h(e11))
          & h(op1(e13,e10)) = op2(h(e13),h(e10))
          & h(op1(e12,e14)) = op2(h(e12),h(e14))
          & h(op1(e12,e13)) = op2(h(e12),h(e13))
          & h(op1(e12,e12)) = op2(h(e12),h(e12))
          & h(op1(e12,e11)) = op2(h(e12),h(e11))
          & h(op1(e12,e10)) = op2(h(e12),h(e10))
          & h(op1(e11,e14)) = op2(h(e11),h(e14))
          & h(op1(e11,e13)) = op2(h(e11),h(e13))
          & h(op1(e11,e12)) = op2(h(e11),h(e12))
          & h(op1(e11,e11)) = op2(h(e11),h(e11))
          & h(op1(e11,e10)) = op2(h(e11),h(e10))
          & h(op1(e10,e14)) = op2(h(e10),h(e14))
          & h(op1(e10,e13)) = op2(h(e10),h(e13))
          & h(op1(e10,e12)) = op2(h(e10),h(e12))
          & h(op1(e10,e11)) = op2(h(e10),h(e11))
          & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    inference(negated_conjecture,[],[f6]) ).

fof(f8,plain,
    ( e14 = j(h(e14))
    & e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e24 = h(j(e24))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & ( e14 = j(e24)
      | e13 = j(e24)
      | e12 = j(e24)
      | e11 = j(e24)
      | e10 = j(e24) )
    & ( e14 = j(e23)
      | e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e14 = j(e22)
      | e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e14 = j(e21)
      | e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e14 = j(e20)
      | e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e24 = h(e14)
      | e23 = h(e14)
      | e22 = h(e14)
      | e21 = h(e14)
      | e20 = h(e14) )
    & ( e24 = h(e13)
      | e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e24 = h(e12)
      | e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e24 = h(e11)
      | e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e24 = h(e10)
      | e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f9,plain,
    ( e14 = j(h(e14))
    & e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e24 = h(j(e24))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & ( e14 = j(e24)
      | e13 = j(e24)
      | e12 = j(e24)
      | e11 = j(e24)
      | e10 = j(e24) )
    & ( e14 = j(e23)
      | e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e14 = j(e22)
      | e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e14 = j(e21)
      | e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e14 = j(e20)
      | e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e24 = h(e14)
      | e23 = h(e14)
      | e22 = h(e14)
      | e21 = h(e14)
      | e20 = h(e14) )
    & ( e24 = h(e13)
      | e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e24 = h(e12)
      | e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e24 = h(e11)
      | e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e24 = h(e10)
      | e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(flattening,[],[f8]) ).

fof(f12,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f16,plain,
    e11 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f22,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f55,plain,
    e13 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f61,plain,
    e14 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f73,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f79,plain,
    e11 = op1(e14,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f80,plain,
    e20 = op2(e20,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    e23 = op2(e23,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( e14 = j(e20)
    | e13 = j(e20)
    | e12 = j(e20)
    | e11 = j(e20)
    | e10 = j(e20) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f113,plain,
    ( e14 = j(e23)
    | e13 = j(e23)
    | e12 = j(e23)
    | e11 = j(e23)
    | e10 = j(e23) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f140,plain,
    j(op2(e20,e20)) = op1(j(e20),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f158,plain,
    j(op2(e23,e23)) = op1(j(e23),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f165,plain,
    e20 = h(j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f168,plain,
    e23 = h(j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f170,plain,
    e10 = j(h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f171,plain,
    e11 = j(h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f172,plain,
    e12 = j(h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f173,plain,
    e13 = j(h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f174,plain,
    e14 = j(h(e14)),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_52,plain,
    e14 != e11,
    inference(cnf_transformation,[],[f16]) ).

cnf(c_56,plain,
    e13 != e10,
    inference(cnf_transformation,[],[f12]) ).

cnf(c_66,plain,
    e23 != e20,
    inference(cnf_transformation,[],[f22]) ).

cnf(c_94,plain,
    op1(e14,e14) = e11,
    inference(cnf_transformation,[],[f79]) ).

cnf(c_100,plain,
    op1(e13,e13) = e10,
    inference(cnf_transformation,[],[f73]) ).

cnf(c_112,plain,
    op1(e11,e11) = e14,
    inference(cnf_transformation,[],[f61]) ).

cnf(c_118,plain,
    op1(e10,e10) = e13,
    inference(cnf_transformation,[],[f55]) ).

cnf(c_125,plain,
    op2(e23,e23) = e23,
    inference(cnf_transformation,[],[f98]) ).

cnf(c_143,plain,
    op2(e20,e20) = e20,
    inference(cnf_transformation,[],[f80]) ).

cnf(c_144,negated_conjecture,
    j(h(e14)) = e14,
    inference(cnf_transformation,[],[f174]) ).

cnf(c_145,negated_conjecture,
    j(h(e13)) = e13,
    inference(cnf_transformation,[],[f173]) ).

cnf(c_146,negated_conjecture,
    j(h(e12)) = e12,
    inference(cnf_transformation,[],[f172]) ).

cnf(c_147,negated_conjecture,
    j(h(e11)) = e11,
    inference(cnf_transformation,[],[f171]) ).

cnf(c_148,negated_conjecture,
    j(h(e10)) = e10,
    inference(cnf_transformation,[],[f170]) ).

cnf(c_150,negated_conjecture,
    h(j(e23)) = e23,
    inference(cnf_transformation,[],[f168]) ).

cnf(c_153,negated_conjecture,
    h(j(e20)) = e20,
    inference(cnf_transformation,[],[f165]) ).

cnf(c_160,negated_conjecture,
    op1(j(e23),j(e23)) = j(op2(e23,e23)),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_178,negated_conjecture,
    op1(j(e20),j(e20)) = j(op2(e20,e20)),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_205,negated_conjecture,
    ( j(e23) = e13
    | j(e23) = e14
    | j(e23) = e12
    | j(e23) = e11
    | j(e23) = e10 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_208,negated_conjecture,
    ( j(e20) = e13
    | j(e20) = e14
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_649,plain,
    op1(j(e20),j(e20)) = j(e20),
    inference(light_normalisation,[status(thm)],[c_178,c_143]) ).

cnf(c_667,plain,
    op1(j(e23),j(e23)) = j(e23),
    inference(light_normalisation,[status(thm)],[c_160,c_125]) ).

cnf(c_777,plain,
    h(e12) = sP2_iProver_def,
    definition ).

cnf(c_780,plain,
    j(e20) = sP5_iProver_def,
    definition ).

cnf(c_783,plain,
    j(e23) = sP8_iProver_def,
    definition ).

cnf(c_785,plain,
    h(sP5_iProver_def) = sP10_iProver_def,
    definition ).

cnf(c_788,plain,
    h(sP8_iProver_def) = sP13_iProver_def,
    definition ).

cnf(c_790,plain,
    j(sP0_iProver_def) = sP15_iProver_def,
    definition ).

cnf(c_791,plain,
    j(sP1_iProver_def) = sP16_iProver_def,
    definition ).

cnf(c_792,plain,
    j(sP2_iProver_def) = sP17_iProver_def,
    definition ).

cnf(c_793,plain,
    j(sP3_iProver_def) = sP18_iProver_def,
    definition ).

cnf(c_794,plain,
    j(sP4_iProver_def) = sP19_iProver_def,
    definition ).

cnf(c_800,negated_conjecture,
    ( sP5_iProver_def = e13
    | sP5_iProver_def = e14
    | sP5_iProver_def = e12
    | sP5_iProver_def = e11
    | sP5_iProver_def = e10 ),
    inference(demodulation,[status(thm)],[c_208,c_780]) ).

cnf(c_803,negated_conjecture,
    ( sP8_iProver_def = e13
    | sP8_iProver_def = e14
    | sP8_iProver_def = e12
    | sP8_iProver_def = e11
    | sP8_iProver_def = e10 ),
    inference(demodulation,[status(thm)],[c_205,c_783]) ).

cnf(c_805,negated_conjecture,
    sP10_iProver_def = e20,
    inference(demodulation,[status(thm)],[c_153,c_785]) ).

cnf(c_808,negated_conjecture,
    sP13_iProver_def = e23,
    inference(demodulation,[status(thm)],[c_150,c_788]) ).

cnf(c_810,negated_conjecture,
    sP15_iProver_def = e10,
    inference(demodulation,[status(thm)],[c_148,c_790]) ).

cnf(c_811,negated_conjecture,
    sP16_iProver_def = e11,
    inference(demodulation,[status(thm)],[c_147,c_791]) ).

cnf(c_812,negated_conjecture,
    sP17_iProver_def = e12,
    inference(demodulation,[status(thm)],[c_146,c_792]) ).

cnf(c_813,negated_conjecture,
    sP18_iProver_def = e13,
    inference(demodulation,[status(thm)],[c_145,c_793]) ).

cnf(c_814,negated_conjecture,
    sP19_iProver_def = e14,
    inference(demodulation,[status(thm)],[c_144,c_794]) ).

cnf(c_1308,plain,
    sP16_iProver_def != sP19_iProver_def,
    inference(light_normalisation,[status(thm)],[c_52,c_811,c_814]) ).

cnf(c_1551,plain,
    sP15_iProver_def != sP18_iProver_def,
    inference(light_normalisation,[status(thm)],[c_56,c_810,c_813]) ).

cnf(c_1874,plain,
    op1(sP5_iProver_def,sP5_iProver_def) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_649,c_780]) ).

cnf(c_1908,plain,
    op1(sP8_iProver_def,sP8_iProver_def) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_667,c_783]) ).

cnf(c_1911,plain,
    h(sP17_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_777,c_812]) ).

cnf(c_2405,plain,
    op1(sP19_iProver_def,sP19_iProver_def) = sP16_iProver_def,
    inference(light_normalisation,[status(thm)],[c_94,c_811,c_814]) ).

cnf(c_2446,plain,
    op1(sP18_iProver_def,sP18_iProver_def) = sP15_iProver_def,
    inference(light_normalisation,[status(thm)],[c_100,c_810,c_813]) ).

cnf(c_2719,plain,
    op1(sP16_iProver_def,sP16_iProver_def) = sP19_iProver_def,
    inference(light_normalisation,[status(thm)],[c_112,c_811,c_814]) ).

cnf(c_3074,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_2719,c_2446,c_2405,c_1911,c_1908,c_1874,c_1551,c_1308,c_814,c_813,c_812,c_811,c_810,c_808,c_805,c_803,c_800,c_788,c_785,c_118,c_66]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : ALG182+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.30  % Computer : n014.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Thu May  2 22:37:17 EDT 2024
% 0.11/0.30  % CPUTime  : 
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.35/1.04  % SZS status Started for theBenchmark.p
% 0.35/1.04  % SZS status Theorem for theBenchmark.p
% 0.35/1.04  
% 0.35/1.04  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.35/1.04  
% 0.35/1.04  ------  iProver source info
% 0.35/1.04  
% 0.35/1.04  git: date: 2024-05-02 19:28:25 +0000
% 0.35/1.04  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.35/1.04  git: non_committed_changes: false
% 0.35/1.04  
% 0.35/1.04  ------ Parsing...
% 0.35/1.04  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.35/1.04  
% 0.35/1.04  ------ Preprocessing... sup_sim: 50  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.35/1.04  
% 0.35/1.04  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.35/1.04  
% 0.35/1.04  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.35/1.04  ------ Proving...
% 0.35/1.04  ------ Problem Properties 
% 0.35/1.04  
% 0.35/1.04  
% 0.35/1.04  clauses                                 185
% 0.35/1.04  conjectures                             20
% 0.35/1.04  EPR                                     65
% 0.35/1.04  Horn                                    175
% 0.35/1.04  unary                                   175
% 0.35/1.04  binary                                  0
% 0.35/1.04  lits                                    225
% 0.35/1.04  lits eq                                 225
% 0.35/1.04  fd_pure                                 0
% 0.35/1.04  fd_pseudo                               0
% 0.35/1.04  fd_cond                                 0
% 0.35/1.04  fd_pseudo_cond                          0
% 0.35/1.04  AC symbols                              0
% 0.35/1.04  
% 0.35/1.04  ------ Schedule dynamic 5 is on 
% 0.35/1.04  
% 0.35/1.04  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.35/1.04  
% 0.35/1.04  
% 0.35/1.04  ------ 
% 0.35/1.04  Current options:
% 0.35/1.04  ------ 
% 0.35/1.04  
% 0.35/1.04  
% 0.35/1.04  
% 0.35/1.04  
% 0.35/1.04  ------ Proving...
% 0.35/1.04  
% 0.35/1.04  
% 0.35/1.04  % SZS status Theorem for theBenchmark.p
% 0.35/1.04  
% 0.35/1.04  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.35/1.05  
% 0.35/1.05  
%------------------------------------------------------------------------------