TSTP Solution File: ALG031+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG031+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 02:03:19 EDT 2024

% Result   : Theorem 1.94s 1.03s
% Output   : CNFRefutation 1.94s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( e14 != e15
    & e13 != e15
    & e13 != e14
    & e12 != e15
    & e12 != e14
    & e12 != e13
    & e11 != e15
    & e11 != e14
    & e11 != e13
    & e11 != e12
    & e10 != e15
    & e10 != e14
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( e24 != e25
    & e23 != e25
    & e23 != e24
    & e22 != e25
    & e22 != e24
    & e22 != e23
    & e21 != e25
    & e21 != e24
    & e21 != e23
    & e21 != e22
    & e20 != e25
    & e20 != e24
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f4,axiom,
    ( e12 = op1(e15,e15)
    & e10 = op1(e15,e14)
    & e14 = op1(e15,e13)
    & e11 = op1(e15,e12)
    & e13 = op1(e15,e11)
    & e15 = op1(e15,e10)
    & e10 = op1(e14,e15)
    & e13 = op1(e14,e14)
    & e11 = op1(e14,e13)
    & e15 = op1(e14,e12)
    & e12 = op1(e14,e11)
    & e14 = op1(e14,e10)
    & e14 = op1(e13,e15)
    & e11 = op1(e13,e14)
    & e12 = op1(e13,e13)
    & e10 = op1(e13,e12)
    & e15 = op1(e13,e11)
    & e13 = op1(e13,e10)
    & e11 = op1(e12,e15)
    & e15 = op1(e12,e14)
    & e10 = op1(e12,e13)
    & e13 = op1(e12,e12)
    & e14 = op1(e12,e11)
    & e12 = op1(e12,e10)
    & e13 = op1(e11,e15)
    & e12 = op1(e11,e14)
    & e15 = op1(e11,e13)
    & e14 = op1(e11,e12)
    & e10 = op1(e11,e11)
    & e11 = op1(e11,e10)
    & e15 = op1(e10,e15)
    & e14 = op1(e10,e14)
    & e13 = op1(e10,e13)
    & e12 = op1(e10,e12)
    & e11 = op1(e10,e11)
    & e10 = op1(e10,e10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( e20 = op2(e25,e25)
    & e22 = op2(e25,e24)
    & e21 = op2(e25,e23)
    & e24 = op2(e25,e22)
    & e23 = op2(e25,e21)
    & e25 = op2(e25,e20)
    & e21 = op2(e24,e25)
    & e23 = op2(e24,e24)
    & e20 = op2(e24,e23)
    & e25 = op2(e24,e22)
    & e22 = op2(e24,e21)
    & e24 = op2(e24,e20)
    & e22 = op2(e23,e25)
    & e20 = op2(e23,e24)
    & e24 = op2(e23,e23)
    & e21 = op2(e23,e22)
    & e25 = op2(e23,e21)
    & e23 = op2(e23,e20)
    & e23 = op2(e22,e25)
    & e21 = op2(e22,e24)
    & e25 = op2(e22,e23)
    & e20 = op2(e22,e22)
    & e24 = op2(e22,e21)
    & e22 = op2(e22,e20)
    & e24 = op2(e21,e25)
    & e25 = op2(e21,e24)
    & e22 = op2(e21,e23)
    & e23 = op2(e21,e22)
    & e20 = op2(e21,e21)
    & e21 = op2(e21,e20)
    & e25 = op2(e20,e25)
    & e24 = op2(e20,e24)
    & e23 = op2(e20,e23)
    & e22 = op2(e20,e22)
    & e21 = op2(e20,e21)
    & e20 = op2(e20,e20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f6,conjecture,
    ( ( ( e15 = j(e25)
        | e14 = j(e25)
        | e13 = j(e25)
        | e12 = j(e25)
        | e11 = j(e25)
        | e10 = j(e25) )
      & ( e15 = j(e24)
        | e14 = j(e24)
        | e13 = j(e24)
        | e12 = j(e24)
        | e11 = j(e24)
        | e10 = j(e24) )
      & ( e15 = j(e23)
        | e14 = j(e23)
        | e13 = j(e23)
        | e12 = j(e23)
        | e11 = j(e23)
        | e10 = j(e23) )
      & ( e15 = j(e22)
        | e14 = j(e22)
        | e13 = j(e22)
        | e12 = j(e22)
        | e11 = j(e22)
        | e10 = j(e22) )
      & ( e15 = j(e21)
        | e14 = j(e21)
        | e13 = j(e21)
        | e12 = j(e21)
        | e11 = j(e21)
        | e10 = j(e21) )
      & ( e15 = j(e20)
        | e14 = j(e20)
        | e13 = j(e20)
        | e12 = j(e20)
        | e11 = j(e20)
        | e10 = j(e20) )
      & ( e25 = h(e15)
        | e24 = h(e15)
        | e23 = h(e15)
        | e22 = h(e15)
        | e21 = h(e15)
        | e20 = h(e15) )
      & ( e25 = h(e14)
        | e24 = h(e14)
        | e23 = h(e14)
        | e22 = h(e14)
        | e21 = h(e14)
        | e20 = h(e14) )
      & ( e25 = h(e13)
        | e24 = h(e13)
        | e23 = h(e13)
        | e22 = h(e13)
        | e21 = h(e13)
        | e20 = h(e13) )
      & ( e25 = h(e12)
        | e24 = h(e12)
        | e23 = h(e12)
        | e22 = h(e12)
        | e21 = h(e12)
        | e20 = h(e12) )
      & ( e25 = h(e11)
        | e24 = h(e11)
        | e23 = h(e11)
        | e22 = h(e11)
        | e21 = h(e11)
        | e20 = h(e11) )
      & ( e25 = h(e10)
        | e24 = h(e10)
        | e23 = h(e10)
        | e22 = h(e10)
        | e21 = h(e10)
        | e20 = h(e10) ) )
   => ~ ( e15 = j(h(e15))
        & e14 = j(h(e14))
        & e13 = j(h(e13))
        & e12 = j(h(e12))
        & e11 = j(h(e11))
        & e10 = j(h(e10))
        & e25 = h(j(e25))
        & e24 = h(j(e24))
        & e23 = h(j(e23))
        & e22 = h(j(e22))
        & e21 = h(j(e21))
        & e20 = h(j(e20))
        & j(op2(e25,e25)) = op1(j(e25),j(e25))
        & j(op2(e25,e24)) = op1(j(e25),j(e24))
        & j(op2(e25,e23)) = op1(j(e25),j(e23))
        & j(op2(e25,e22)) = op1(j(e25),j(e22))
        & j(op2(e25,e21)) = op1(j(e25),j(e21))
        & j(op2(e25,e20)) = op1(j(e25),j(e20))
        & j(op2(e24,e25)) = op1(j(e24),j(e25))
        & 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,e25)) = op1(j(e23),j(e25))
        & 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,e25)) = op1(j(e22),j(e25))
        & 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,e25)) = op1(j(e21),j(e25))
        & 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,e25)) = op1(j(e20),j(e25))
        & 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(e15,e15)) = op2(h(e15),h(e15))
        & h(op1(e15,e14)) = op2(h(e15),h(e14))
        & h(op1(e15,e13)) = op2(h(e15),h(e13))
        & h(op1(e15,e12)) = op2(h(e15),h(e12))
        & h(op1(e15,e11)) = op2(h(e15),h(e11))
        & h(op1(e15,e10)) = op2(h(e15),h(e10))
        & h(op1(e14,e15)) = op2(h(e14),h(e15))
        & 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,e15)) = op2(h(e13),h(e15))
        & 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,e15)) = op2(h(e12),h(e15))
        & 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,e15)) = op2(h(e11),h(e15))
        & 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,e15)) = op2(h(e10),h(e15))
        & 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/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f7,negated_conjecture,
    ~ ( ( ( e15 = j(e25)
          | e14 = j(e25)
          | e13 = j(e25)
          | e12 = j(e25)
          | e11 = j(e25)
          | e10 = j(e25) )
        & ( e15 = j(e24)
          | e14 = j(e24)
          | e13 = j(e24)
          | e12 = j(e24)
          | e11 = j(e24)
          | e10 = j(e24) )
        & ( e15 = j(e23)
          | e14 = j(e23)
          | e13 = j(e23)
          | e12 = j(e23)
          | e11 = j(e23)
          | e10 = j(e23) )
        & ( e15 = j(e22)
          | e14 = j(e22)
          | e13 = j(e22)
          | e12 = j(e22)
          | e11 = j(e22)
          | e10 = j(e22) )
        & ( e15 = j(e21)
          | e14 = j(e21)
          | e13 = j(e21)
          | e12 = j(e21)
          | e11 = j(e21)
          | e10 = j(e21) )
        & ( e15 = j(e20)
          | e14 = j(e20)
          | e13 = j(e20)
          | e12 = j(e20)
          | e11 = j(e20)
          | e10 = j(e20) )
        & ( e25 = h(e15)
          | e24 = h(e15)
          | e23 = h(e15)
          | e22 = h(e15)
          | e21 = h(e15)
          | e20 = h(e15) )
        & ( e25 = h(e14)
          | e24 = h(e14)
          | e23 = h(e14)
          | e22 = h(e14)
          | e21 = h(e14)
          | e20 = h(e14) )
        & ( e25 = h(e13)
          | e24 = h(e13)
          | e23 = h(e13)
          | e22 = h(e13)
          | e21 = h(e13)
          | e20 = h(e13) )
        & ( e25 = h(e12)
          | e24 = h(e12)
          | e23 = h(e12)
          | e22 = h(e12)
          | e21 = h(e12)
          | e20 = h(e12) )
        & ( e25 = h(e11)
          | e24 = h(e11)
          | e23 = h(e11)
          | e22 = h(e11)
          | e21 = h(e11)
          | e20 = h(e11) )
        & ( e25 = h(e10)
          | e24 = h(e10)
          | e23 = h(e10)
          | e22 = h(e10)
          | e21 = h(e10)
          | e20 = h(e10) ) )
     => ~ ( e15 = j(h(e15))
          & e14 = j(h(e14))
          & e13 = j(h(e13))
          & e12 = j(h(e12))
          & e11 = j(h(e11))
          & e10 = j(h(e10))
          & e25 = h(j(e25))
          & e24 = h(j(e24))
          & e23 = h(j(e23))
          & e22 = h(j(e22))
          & e21 = h(j(e21))
          & e20 = h(j(e20))
          & j(op2(e25,e25)) = op1(j(e25),j(e25))
          & j(op2(e25,e24)) = op1(j(e25),j(e24))
          & j(op2(e25,e23)) = op1(j(e25),j(e23))
          & j(op2(e25,e22)) = op1(j(e25),j(e22))
          & j(op2(e25,e21)) = op1(j(e25),j(e21))
          & j(op2(e25,e20)) = op1(j(e25),j(e20))
          & j(op2(e24,e25)) = op1(j(e24),j(e25))
          & 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,e25)) = op1(j(e23),j(e25))
          & 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,e25)) = op1(j(e22),j(e25))
          & 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,e25)) = op1(j(e21),j(e25))
          & 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,e25)) = op1(j(e20),j(e25))
          & 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(e15,e15)) = op2(h(e15),h(e15))
          & h(op1(e15,e14)) = op2(h(e15),h(e14))
          & h(op1(e15,e13)) = op2(h(e15),h(e13))
          & h(op1(e15,e12)) = op2(h(e15),h(e12))
          & h(op1(e15,e11)) = op2(h(e15),h(e11))
          & h(op1(e15,e10)) = op2(h(e15),h(e10))
          & h(op1(e14,e15)) = op2(h(e14),h(e15))
          & 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,e15)) = op2(h(e13),h(e15))
          & 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,e15)) = op2(h(e12),h(e15))
          & 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,e15)) = op2(h(e11),h(e15))
          & 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,e15)) = op2(h(e10),h(e15))
          & 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,
    ( e15 = j(h(e15))
    & e14 = j(h(e14))
    & e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e25 = h(j(e25))
    & e24 = h(j(e24))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e25,e25)) = op1(j(e25),j(e25))
    & j(op2(e25,e24)) = op1(j(e25),j(e24))
    & j(op2(e25,e23)) = op1(j(e25),j(e23))
    & j(op2(e25,e22)) = op1(j(e25),j(e22))
    & j(op2(e25,e21)) = op1(j(e25),j(e21))
    & j(op2(e25,e20)) = op1(j(e25),j(e20))
    & j(op2(e24,e25)) = op1(j(e24),j(e25))
    & 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,e25)) = op1(j(e23),j(e25))
    & 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,e25)) = op1(j(e22),j(e25))
    & 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,e25)) = op1(j(e21),j(e25))
    & 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,e25)) = op1(j(e20),j(e25))
    & 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(e15,e15)) = op2(h(e15),h(e15))
    & h(op1(e15,e14)) = op2(h(e15),h(e14))
    & h(op1(e15,e13)) = op2(h(e15),h(e13))
    & h(op1(e15,e12)) = op2(h(e15),h(e12))
    & h(op1(e15,e11)) = op2(h(e15),h(e11))
    & h(op1(e15,e10)) = op2(h(e15),h(e10))
    & h(op1(e14,e15)) = op2(h(e14),h(e15))
    & 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,e15)) = op2(h(e13),h(e15))
    & 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,e15)) = op2(h(e12),h(e15))
    & 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,e15)) = op2(h(e11),h(e15))
    & 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,e15)) = op2(h(e10),h(e15))
    & 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))
    & ( e15 = j(e25)
      | e14 = j(e25)
      | e13 = j(e25)
      | e12 = j(e25)
      | e11 = j(e25)
      | e10 = j(e25) )
    & ( e15 = j(e24)
      | e14 = j(e24)
      | e13 = j(e24)
      | e12 = j(e24)
      | e11 = j(e24)
      | e10 = j(e24) )
    & ( e15 = j(e23)
      | e14 = j(e23)
      | e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e15 = j(e22)
      | e14 = j(e22)
      | e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e15 = j(e21)
      | e14 = j(e21)
      | e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e15 = j(e20)
      | e14 = j(e20)
      | e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e25 = h(e15)
      | e24 = h(e15)
      | e23 = h(e15)
      | e22 = h(e15)
      | e21 = h(e15)
      | e20 = h(e15) )
    & ( e25 = h(e14)
      | e24 = h(e14)
      | e23 = h(e14)
      | e22 = h(e14)
      | e21 = h(e14)
      | e20 = h(e14) )
    & ( e25 = h(e13)
      | e24 = h(e13)
      | e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e25 = h(e12)
      | e24 = h(e12)
      | e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e25 = h(e11)
      | e24 = h(e11)
      | e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e25 = h(e10)
      | e24 = h(e10)
      | e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f9,plain,
    ( e15 = j(h(e15))
    & e14 = j(h(e14))
    & e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e25 = h(j(e25))
    & e24 = h(j(e24))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e25,e25)) = op1(j(e25),j(e25))
    & j(op2(e25,e24)) = op1(j(e25),j(e24))
    & j(op2(e25,e23)) = op1(j(e25),j(e23))
    & j(op2(e25,e22)) = op1(j(e25),j(e22))
    & j(op2(e25,e21)) = op1(j(e25),j(e21))
    & j(op2(e25,e20)) = op1(j(e25),j(e20))
    & j(op2(e24,e25)) = op1(j(e24),j(e25))
    & 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,e25)) = op1(j(e23),j(e25))
    & 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,e25)) = op1(j(e22),j(e25))
    & 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,e25)) = op1(j(e21),j(e25))
    & 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,e25)) = op1(j(e20),j(e25))
    & 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(e15,e15)) = op2(h(e15),h(e15))
    & h(op1(e15,e14)) = op2(h(e15),h(e14))
    & h(op1(e15,e13)) = op2(h(e15),h(e13))
    & h(op1(e15,e12)) = op2(h(e15),h(e12))
    & h(op1(e15,e11)) = op2(h(e15),h(e11))
    & h(op1(e15,e10)) = op2(h(e15),h(e10))
    & h(op1(e14,e15)) = op2(h(e14),h(e15))
    & 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,e15)) = op2(h(e13),h(e15))
    & 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,e15)) = op2(h(e12),h(e15))
    & 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,e15)) = op2(h(e11),h(e15))
    & 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,e15)) = op2(h(e10),h(e15))
    & 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))
    & ( e15 = j(e25)
      | e14 = j(e25)
      | e13 = j(e25)
      | e12 = j(e25)
      | e11 = j(e25)
      | e10 = j(e25) )
    & ( e15 = j(e24)
      | e14 = j(e24)
      | e13 = j(e24)
      | e12 = j(e24)
      | e11 = j(e24)
      | e10 = j(e24) )
    & ( e15 = j(e23)
      | e14 = j(e23)
      | e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e15 = j(e22)
      | e14 = j(e22)
      | e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e15 = j(e21)
      | e14 = j(e21)
      | e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e15 = j(e20)
      | e14 = j(e20)
      | e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e25 = h(e15)
      | e24 = h(e15)
      | e23 = h(e15)
      | e22 = h(e15)
      | e21 = h(e15)
      | e20 = h(e15) )
    & ( e25 = h(e14)
      | e24 = h(e14)
      | e23 = h(e14)
      | e22 = h(e14)
      | e21 = h(e14)
      | e20 = h(e14) )
    & ( e25 = h(e13)
      | e24 = h(e13)
      | e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e25 = h(e12)
      | e24 = h(e12)
      | e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e25 = h(e11)
      | e24 = h(e11)
      | e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e25 = h(e10)
      | e24 = h(e10)
      | e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(flattening,[],[f8]) ).

fof(f10,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f1]) ).

fof(f11,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f29,plain,
    e20 != e25,
    inference(cnf_transformation,[],[f2]) ).

fof(f37,plain,
    e23 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f76,plain,
    e10 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f83,plain,
    e10 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f85,plain,
    e15 = op1(e11,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f93,plain,
    e11 = op1(e12,e15),
    inference(cnf_transformation,[],[f4]) ).

fof(f95,plain,
    e15 = op1(e13,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f97,plain,
    e12 = op1(e13,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f99,plain,
    e14 = op1(e13,e15),
    inference(cnf_transformation,[],[f4]) ).

fof(f101,plain,
    e12 = op1(e14,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f103,plain,
    e11 = op1(e14,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f107,plain,
    e13 = op1(e15,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f109,plain,
    e14 = op1(e15,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f111,plain,
    e12 = op1(e15,e15),
    inference(cnf_transformation,[],[f4]) ).

fof(f112,plain,
    e20 = op2(e20,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    e20 = op2(e21,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    e22 = op2(e21,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    e25 = op2(e21,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    e24 = op2(e22,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    e20 = op2(e22,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    e25 = op2(e22,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    e21 = op2(e22,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    e21 = op2(e23,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    e24 = op2(e23,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    e22 = op2(e23,e25),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    e22 = op2(e24,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    e23 = op2(e24,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    e21 = op2(e24,e25),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    e21 = op2(e25,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    e20 = op2(e25,e25),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( e25 = h(e11)
    | e24 = h(e11)
    | e23 = h(e11)
    | e22 = h(e11)
    | e21 = h(e11)
    | e20 = h(e11) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f151,plain,
    ( e25 = h(e13)
    | e24 = h(e13)
    | e23 = h(e13)
    | e22 = h(e13)
    | e21 = h(e13)
    | e20 = h(e13) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f160,plain,
    h(op1(e10,e10)) = op2(h(e10),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f167,plain,
    h(op1(e11,e11)) = op2(h(e11),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f169,plain,
    h(op1(e11,e13)) = op2(h(e11),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f177,plain,
    h(op1(e12,e15)) = op2(h(e12),h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f179,plain,
    h(op1(e13,e11)) = op2(h(e13),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f181,plain,
    h(op1(e13,e13)) = op2(h(e13),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f183,plain,
    h(op1(e13,e15)) = op2(h(e13),h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f185,plain,
    h(op1(e14,e11)) = op2(h(e14),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f187,plain,
    h(op1(e14,e13)) = op2(h(e14),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f191,plain,
    h(op1(e15,e11)) = op2(h(e15),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f193,plain,
    h(op1(e15,e13)) = op2(h(e15),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f195,plain,
    h(op1(e15,e15)) = op2(h(e15),h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f238,plain,
    e10 = j(h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f239,plain,
    e11 = j(h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f240,plain,
    e12 = j(h(e12)),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_62,plain,
    e12 != e10,
    inference(cnf_transformation,[],[f11]) ).

cnf(c_63,plain,
    e11 != e10,
    inference(cnf_transformation,[],[f10]) ).

cnf(c_66,plain,
    e24 != e23,
    inference(cnf_transformation,[],[f37]) ).

cnf(c_74,plain,
    e25 != e20,
    inference(cnf_transformation,[],[f29]) ).

cnf(c_115,plain,
    op1(e15,e15) = e12,
    inference(cnf_transformation,[],[f111]) ).

cnf(c_117,plain,
    op1(e15,e13) = e14,
    inference(cnf_transformation,[],[f109]) ).

cnf(c_119,plain,
    op1(e15,e11) = e13,
    inference(cnf_transformation,[],[f107]) ).

cnf(c_123,plain,
    op1(e14,e13) = e11,
    inference(cnf_transformation,[],[f103]) ).

cnf(c_125,plain,
    op1(e14,e11) = e12,
    inference(cnf_transformation,[],[f101]) ).

cnf(c_127,plain,
    op1(e13,e15) = e14,
    inference(cnf_transformation,[],[f99]) ).

cnf(c_129,plain,
    op1(e13,e13) = e12,
    inference(cnf_transformation,[],[f97]) ).

cnf(c_131,plain,
    op1(e13,e11) = e15,
    inference(cnf_transformation,[],[f95]) ).

cnf(c_133,plain,
    op1(e12,e15) = e11,
    inference(cnf_transformation,[],[f93]) ).

cnf(c_141,plain,
    op1(e11,e13) = e15,
    inference(cnf_transformation,[],[f85]) ).

cnf(c_143,plain,
    op1(e11,e11) = e10,
    inference(cnf_transformation,[],[f83]) ).

cnf(c_150,plain,
    op1(e10,e10) = e10,
    inference(cnf_transformation,[],[f76]) ).

cnf(c_151,plain,
    op2(e25,e25) = e20,
    inference(cnf_transformation,[],[f147]) ).

cnf(c_153,plain,
    op2(e25,e23) = e21,
    inference(cnf_transformation,[],[f145]) ).

cnf(c_157,plain,
    op2(e24,e25) = e21,
    inference(cnf_transformation,[],[f141]) ).

cnf(c_158,plain,
    op2(e24,e24) = e23,
    inference(cnf_transformation,[],[f140]) ).

cnf(c_161,plain,
    op2(e24,e21) = e22,
    inference(cnf_transformation,[],[f137]) ).

cnf(c_163,plain,
    op2(e23,e25) = e22,
    inference(cnf_transformation,[],[f135]) ).

cnf(c_165,plain,
    op2(e23,e23) = e24,
    inference(cnf_transformation,[],[f133]) ).

cnf(c_166,plain,
    op2(e23,e22) = e21,
    inference(cnf_transformation,[],[f132]) ).

cnf(c_170,plain,
    op2(e22,e24) = e21,
    inference(cnf_transformation,[],[f128]) ).

cnf(c_171,plain,
    op2(e22,e23) = e25,
    inference(cnf_transformation,[],[f127]) ).

cnf(c_172,plain,
    op2(e22,e22) = e20,
    inference(cnf_transformation,[],[f126]) ).

cnf(c_173,plain,
    op2(e22,e21) = e24,
    inference(cnf_transformation,[],[f125]) ).

cnf(c_176,plain,
    op2(e21,e24) = e25,
    inference(cnf_transformation,[],[f122]) ).

cnf(c_177,plain,
    op2(e21,e23) = e22,
    inference(cnf_transformation,[],[f121]) ).

cnf(c_179,plain,
    op2(e21,e21) = e20,
    inference(cnf_transformation,[],[f119]) ).

cnf(c_186,plain,
    op2(e20,e20) = e20,
    inference(cnf_transformation,[],[f112]) ).

cnf(c_190,negated_conjecture,
    j(h(e12)) = e12,
    inference(cnf_transformation,[],[f240]) ).

cnf(c_191,negated_conjecture,
    j(h(e11)) = e11,
    inference(cnf_transformation,[],[f239]) ).

cnf(c_192,negated_conjecture,
    j(h(e10)) = e10,
    inference(cnf_transformation,[],[f238]) ).

cnf(c_235,negated_conjecture,
    op2(h(e15),h(e15)) = h(op1(e15,e15)),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_237,negated_conjecture,
    op2(h(e15),h(e13)) = h(op1(e15,e13)),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_239,negated_conjecture,
    op2(h(e15),h(e11)) = h(op1(e15,e11)),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_243,negated_conjecture,
    op2(h(e14),h(e13)) = h(op1(e14,e13)),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_245,negated_conjecture,
    op2(h(e14),h(e11)) = h(op1(e14,e11)),
    inference(cnf_transformation,[],[f185]) ).

cnf(c_247,negated_conjecture,
    op2(h(e13),h(e15)) = h(op1(e13,e15)),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_249,negated_conjecture,
    op2(h(e13),h(e13)) = h(op1(e13,e13)),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_251,negated_conjecture,
    op2(h(e13),h(e11)) = h(op1(e13,e11)),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_253,negated_conjecture,
    op2(h(e12),h(e15)) = h(op1(e12,e15)),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_261,negated_conjecture,
    op2(h(e11),h(e13)) = h(op1(e11,e13)),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_263,negated_conjecture,
    op2(h(e11),h(e11)) = h(op1(e11,e11)),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_270,negated_conjecture,
    op2(h(e10),h(e10)) = h(op1(e10,e10)),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_279,negated_conjecture,
    ( h(e13) = e24
    | h(e13) = e25
    | h(e13) = e23
    | h(e13) = e22
    | h(e13) = e21
    | h(e13) = e20 ),
    inference(cnf_transformation,[],[f151]) ).

cnf(c_281,negated_conjecture,
    ( h(e11) = e24
    | h(e11) = e25
    | h(e11) = e23
    | h(e11) = e22
    | h(e11) = e21
    | h(e11) = e20 ),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_871,plain,
    op2(h(e10),h(e10)) = h(e10),
    inference(light_normalisation,[status(thm)],[c_270,c_150]) ).

cnf(c_878,plain,
    op2(h(e11),h(e11)) = h(e10),
    inference(light_normalisation,[status(thm)],[c_263,c_143]) ).

cnf(c_880,plain,
    op2(h(e11),h(e13)) = h(e15),
    inference(light_normalisation,[status(thm)],[c_261,c_141]) ).

cnf(c_888,plain,
    op2(h(e12),h(e15)) = h(e11),
    inference(light_normalisation,[status(thm)],[c_253,c_133]) ).

cnf(c_890,plain,
    op2(h(e13),h(e11)) = h(e15),
    inference(light_normalisation,[status(thm)],[c_251,c_131]) ).

cnf(c_892,plain,
    op2(h(e13),h(e13)) = h(e12),
    inference(light_normalisation,[status(thm)],[c_249,c_129]) ).

cnf(c_894,plain,
    op2(h(e13),h(e15)) = h(e14),
    inference(light_normalisation,[status(thm)],[c_247,c_127]) ).

cnf(c_896,plain,
    op2(h(e14),h(e11)) = h(e12),
    inference(light_normalisation,[status(thm)],[c_245,c_125]) ).

cnf(c_898,plain,
    op2(h(e14),h(e13)) = h(e11),
    inference(light_normalisation,[status(thm)],[c_243,c_123]) ).

cnf(c_902,plain,
    op2(h(e15),h(e11)) = h(e13),
    inference(light_normalisation,[status(thm)],[c_239,c_119]) ).

cnf(c_904,plain,
    op2(h(e15),h(e13)) = h(e14),
    inference(light_normalisation,[status(thm)],[c_237,c_117]) ).

cnf(c_906,plain,
    op2(h(e15),h(e15)) = h(e12),
    inference(light_normalisation,[status(thm)],[c_235,c_115]) ).

cnf(c_1087,plain,
    h(e10) = sP0_iProver_def,
    definition ).

cnf(c_1088,plain,
    h(e11) = sP1_iProver_def,
    definition ).

cnf(c_1089,plain,
    h(e12) = sP2_iProver_def,
    definition ).

cnf(c_1090,plain,
    h(e13) = sP3_iProver_def,
    definition ).

cnf(c_1091,plain,
    h(e14) = sP4_iProver_def,
    definition ).

cnf(c_1092,plain,
    h(e15) = sP5_iProver_def,
    definition ).

cnf(c_1093,plain,
    j(e20) = sP6_iProver_def,
    definition ).

cnf(c_1105,plain,
    j(sP0_iProver_def) = sP18_iProver_def,
    definition ).

cnf(c_1106,plain,
    j(sP1_iProver_def) = sP19_iProver_def,
    definition ).

cnf(c_1107,plain,
    j(sP2_iProver_def) = sP20_iProver_def,
    definition ).

cnf(c_1112,negated_conjecture,
    ( sP1_iProver_def = e24
    | sP1_iProver_def = e25
    | sP1_iProver_def = e23
    | sP1_iProver_def = e22
    | sP1_iProver_def = e21
    | sP1_iProver_def = e20 ),
    inference(demodulation,[status(thm)],[c_281,c_1088]) ).

cnf(c_1114,negated_conjecture,
    ( sP3_iProver_def = e24
    | sP3_iProver_def = e25
    | sP3_iProver_def = e23
    | sP3_iProver_def = e22
    | sP3_iProver_def = e21
    | sP3_iProver_def = e20 ),
    inference(demodulation,[status(thm)],[c_279,c_1090]) ).

cnf(c_1129,negated_conjecture,
    sP18_iProver_def = e10,
    inference(demodulation,[status(thm)],[c_192,c_1105]) ).

cnf(c_1130,negated_conjecture,
    sP19_iProver_def = e11,
    inference(demodulation,[status(thm)],[c_191,c_1106]) ).

cnf(c_1131,negated_conjecture,
    sP20_iProver_def = e12,
    inference(demodulation,[status(thm)],[c_190,c_1107]) ).

cnf(c_1810,plain,
    op2(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_871,c_1087]) ).

cnf(c_2425,plain,
    op2(sP1_iProver_def,sP1_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_878,c_1087,c_1088]) ).

cnf(c_2427,plain,
    op2(sP1_iProver_def,sP3_iProver_def) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_880,c_1088,c_1090,c_1092]) ).

cnf(c_2455,plain,
    op2(sP2_iProver_def,sP5_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_888,c_1088,c_1089,c_1092]) ).

cnf(c_2457,plain,
    op2(sP3_iProver_def,sP1_iProver_def) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_890,c_1088,c_1090,c_1092]) ).

cnf(c_2459,plain,
    op2(sP3_iProver_def,sP3_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_892,c_1089,c_1090]) ).

cnf(c_2461,plain,
    op2(sP3_iProver_def,sP5_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_894,c_1090,c_1091,c_1092]) ).

cnf(c_2723,plain,
    op2(sP4_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_896,c_1088,c_1089,c_1091]) ).

cnf(c_2725,plain,
    op2(sP4_iProver_def,sP3_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_898,c_1088,c_1090,c_1091]) ).

cnf(c_2729,plain,
    op2(sP5_iProver_def,sP1_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_902,c_1088,c_1090,c_1092]) ).

cnf(c_2731,plain,
    op2(sP5_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_904,c_1090,c_1091,c_1092]) ).

cnf(c_2741,plain,
    op2(sP5_iProver_def,sP5_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_906,c_1089,c_1092]) ).

cnf(c_2779,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_2741,c_2731,c_2729,c_2725,c_2723,c_2461,c_2459,c_2457,c_2455,c_2427,c_2425,c_1810,c_1131,c_1130,c_1129,c_1114,c_1112,c_1107,c_1106,c_1105,c_1093,c_186,c_179,c_177,c_176,c_173,c_172,c_171,c_170,c_166,c_165,c_163,c_161,c_158,c_157,c_153,c_151,c_74,c_66,c_63,c_62]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.06  % Problem  : ALG031+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.07  % Command  : run_iprover %s %d THM
% 0.06/0.25  % Computer : n031.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Thu May  2 23:23:01 EDT 2024
% 0.06/0.25  % CPUTime  : 
% 0.09/0.32  Running first-order theorem proving
% 0.09/0.32  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.94/1.03  % SZS status Started for theBenchmark.p
% 1.94/1.03  % SZS status Theorem for theBenchmark.p
% 1.94/1.03  
% 1.94/1.03  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.94/1.03  
% 1.94/1.03  ------  iProver source info
% 1.94/1.03  
% 1.94/1.03  git: date: 2024-05-02 19:28:25 +0000
% 1.94/1.03  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.94/1.03  git: non_committed_changes: false
% 1.94/1.03  
% 1.94/1.03  ------ Parsing...
% 1.94/1.03  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.94/1.03  
% 1.94/1.03  ------ Preprocessing... sup_sim: 72  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.94/1.03  
% 1.94/1.03  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.94/1.03  
% 1.94/1.03  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 1.94/1.03  ------ Proving...
% 1.94/1.03  ------ Problem Properties 
% 1.94/1.03  
% 1.94/1.03  
% 1.94/1.03  clauses                                 258
% 1.94/1.03  conjectures                             24
% 1.94/1.03  EPR                                     90
% 1.94/1.03  Horn                                    246
% 1.94/1.03  unary                                   246
% 1.94/1.03  binary                                  0
% 1.94/1.03  lits                                    318
% 1.94/1.03  lits eq                                 318
% 1.94/1.03  fd_pure                                 0
% 1.94/1.03  fd_pseudo                               0
% 1.94/1.03  fd_cond                                 0
% 1.94/1.03  fd_pseudo_cond                          0
% 1.94/1.03  AC symbols                              0
% 1.94/1.03  
% 1.94/1.03  ------ Schedule dynamic 5 is on 
% 1.94/1.03  
% 1.94/1.03  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.94/1.03  
% 1.94/1.03  
% 1.94/1.03  ------ 
% 1.94/1.03  Current options:
% 1.94/1.03  ------ 
% 1.94/1.03  
% 1.94/1.03  
% 1.94/1.03  
% 1.94/1.03  
% 1.94/1.03  ------ Proving...
% 1.94/1.03  
% 1.94/1.03  
% 1.94/1.03  % SZS status Theorem for theBenchmark.p
% 1.94/1.03  
% 1.94/1.03  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.94/1.03  
% 1.94/1.03  
%------------------------------------------------------------------------------