TSTP Solution File: ALG114+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG114+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 02:03:46 EDT 2024
% Result : Theorem 2.89s 1.15s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 37
% Syntax : Number of formulae : 348 ( 163 unt; 0 def)
% Number of atoms : 1911 (1795 equ)
% Maximal formula atoms : 128 ( 5 avg)
% Number of connectives : 2236 ( 673 ~;1008 |; 555 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e13,e13)
& e13 = op1(e12,e12) )
| ( e11 != op1(e13,e13)
& e13 = op1(e11,e11) )
| ( e10 != op1(e13,e13)
& op1(e10,e10) = e13 ) )
& ( ( e13 != op1(e12,e12)
& e12 = op1(e13,e13) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e12,e12)
& e12 = op1(e11,e11) )
| ( e10 != op1(e12,e12)
& op1(e10,e10) = e12 ) )
& ( ( e13 != op1(e11,e11)
& e11 = op1(e13,e13) )
| ( e12 != op1(e11,e11)
& e11 = op1(e12,e12) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e11,e11)
& op1(e10,e10) = e11 ) )
& ( ( op1(e10,e10) != e13
& e10 = op1(e13,e13) )
| ( op1(e10,e10) != e12
& e10 = op1(e12,e12) )
| ( op1(e10,e10) != e11
& e10 = op1(e11,e11) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e23,e23)
& e23 = op2(e22,e22) )
| ( e21 != op2(e23,e23)
& e23 = op2(e21,e21) )
| ( e20 != op2(e23,e23)
& op2(e20,e20) = e23 ) )
& ( ( e23 != op2(e22,e22)
& e22 = op2(e23,e23) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e22,e22)
& e22 = op2(e21,e21) )
| ( e20 != op2(e22,e22)
& op2(e20,e20) = e22 ) )
& ( ( e23 != op2(e21,e21)
& e21 = op2(e23,e23) )
| ( e22 != op2(e21,e21)
& e21 = op2(e22,e22) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e21,e21)
& op2(e20,e20) = e21 ) )
& ( ( op2(e20,e20) != e23
& e20 = op2(e23,e23) )
| ( op2(e20,e20) != e22
& e20 = op2(e22,e22) )
| ( op2(e20,e20) != e21
& e20 = op2(e21,e21) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e10 = op1(op1(e12,e12),e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e20 = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e13)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e10) = op2(op2(e20,e20),e20)
& e20 = h1(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e13)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e10) = op2(op2(e21,e21),e21)
& e21 = h2(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e13)
& op2(op2(e22,e22),op2(e22,e22)) = h3(e11)
& op2(op2(e22,e22),e22) = h3(e10)
& e22 = h3(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e13)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e10) = op2(op2(e23,e23),e23)
& e23 = h4(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e10 != op1(e11,e11)
& op1(e10,e10) = e11 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e10 != op1(e12,e12)
& op1(e10,e10) = e12 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e10 != op1(e13,e13)
& op1(e10,e10) = e13 )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e13,e13)
& e13 = op1(e12,e12) )
| ( e11 != op1(e13,e13)
& e13 = op1(e11,e11) )
| sP3 )
& ( ( e13 != op1(e12,e12)
& e12 = op1(e13,e13) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e12,e12)
& e12 = op1(e11,e11) )
| sP2 )
& ( ( e13 != op1(e11,e11)
& e11 = op1(e13,e13) )
| ( e12 != op1(e11,e11)
& e11 = op1(e12,e12) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| sP1 )
& ( ( op1(e10,e10) != e13
& e10 = op1(e13,e13) )
| ( op1(e10,e10) != e12
& e10 = op1(e12,e12) )
| ( op1(e10,e10) != e11
& e10 = op1(e11,e11) )
| sP0 ) ),
inference(definition_folding,[],[f10,f24,f23,f22,f21]) ).
fof(f26,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f27,plain,
( ( e20 != op2(e21,e21)
& op2(e20,e20) = e21 )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28,plain,
( ( e20 != op2(e22,e22)
& op2(e20,e20) = e22 )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f29,plain,
( ( e20 != op2(e23,e23)
& op2(e20,e20) = e23 )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f30,plain,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e23,e23)
& e23 = op2(e22,e22) )
| ( e21 != op2(e23,e23)
& e23 = op2(e21,e21) )
| sP7 )
& ( ( e23 != op2(e22,e22)
& e22 = op2(e23,e23) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e22,e22)
& e22 = op2(e21,e21) )
| sP6 )
& ( ( e23 != op2(e21,e21)
& e21 = op2(e23,e23) )
| ( e22 != op2(e21,e21)
& e21 = op2(e22,e22) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| sP5 )
& ( ( op2(e20,e20) != e23
& e20 = op2(e23,e23) )
| ( op2(e20,e20) != e22
& e20 = op2(e22,e22) )
| ( op2(e20,e20) != e21
& e20 = op2(e21,e21) )
| sP4 ) ),
inference(definition_folding,[],[f11,f29,f28,f27,f26]) ).
fof(f31,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f32,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f33,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f34,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f35,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f36,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f37,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f38,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f39,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f41,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f42,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f43,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP19
| sP18
| sP17
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP16
| sP15
| sP14
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP13
| sP12
| sP11
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP10
| sP9
| sP8
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31]) ).
fof(f45,plain,
( ( e10 != op1(e12,e12)
& op1(e10,e10) = e12 )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f47,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f49,plain,
( ( e20 != op2(e22,e22)
& op2(e20,e20) = e22 )
| ~ sP6 ),
inference(nnf_transformation,[],[f28]) ).
fof(f51,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP4 ),
inference(nnf_transformation,[],[f26]) ).
fof(f55,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f56,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f57,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP14 ),
inference(nnf_transformation,[],[f37]) ).
fof(f74,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f122,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f134,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f135,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f139,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f141,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f148,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f203,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f204,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f221,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f222,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f223,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f238,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f251,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f254,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f257,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f258,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f259,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f260,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f261,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f262,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f263,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f264,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f265,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f266,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f267,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f286,plain,
( op1(e10,e10) = e12
| ~ sP2 ),
inference(cnf_transformation,[],[f45]) ).
fof(f290,plain,
( e10 = op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f291,plain,
( e10 != op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f292,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e12)
| e10 = op1(e11,e11)
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f308,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e12)
| e12 = op1(e11,e11)
| sP2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f312,plain,
( e13 != op1(e12,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e11)
| sP2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f314,plain,
( e13 != op1(e12,e12)
| e12 != op1(e12,e12)
| e12 = op1(e11,e11)
| sP2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f326,plain,
( op2(e20,e20) = e22
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f330,plain,
( e20 = op2(e20,e20)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f331,plain,
( e20 != op2(e20,e20)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f332,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| sP4 ),
inference(cnf_transformation,[],[f30]) ).
fof(f348,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e22)
| e22 = op2(e21,e21)
| sP6 ),
inference(cnf_transformation,[],[f30]) ).
fof(f352,plain,
( e23 != op2(e22,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e21)
| sP6 ),
inference(cnf_transformation,[],[f30]) ).
fof(f354,plain,
( e23 != op2(e22,e22)
| e22 != op2(e22,e22)
| e22 = op2(e21,e21)
| sP6 ),
inference(cnf_transformation,[],[f30]) ).
fof(f364,plain,
e10 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[],[f12]) ).
fof(f365,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f366,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f367,plain,
e20 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[],[f13]) ).
fof(f368,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f369,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f371,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f373,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f375,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f15]) ).
fof(f377,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f378,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f379,plain,
op2(op2(e22,e22),e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f380,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f381,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f383,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f17]) ).
fof(f385,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f400,plain,
( e22 != h3(e12)
| ~ sP16 ),
inference(cnf_transformation,[],[f55]) ).
fof(f403,plain,
( e21 != h3(e11)
| ~ sP15 ),
inference(cnf_transformation,[],[f56]) ).
fof(f406,plain,
( e20 != h3(e10)
| ~ sP14 ),
inference(cnf_transformation,[],[f57]) ).
fof(f445,plain,
( e23 != h3(e13)
| sP16
| sP15
| sP14
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_54,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_76,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_82,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_83,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_84,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_85,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_89,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_90,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_93,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_94,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_95,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_96,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_102,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_124,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_130,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_131,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_132,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_133,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_137,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_138,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_141,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_142,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_143,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_144,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_146,plain,
op1(e13,e13) != op1(e13,e11),
inference(cnf_transformation,[],[f206]) ).
cnf(c_148,plain,
op1(e13,e13) != op1(e13,e10),
inference(cnf_transformation,[],[f204]) ).
cnf(c_149,plain,
op1(e13,e12) != op1(e13,e10),
inference(cnf_transformation,[],[f203]) ).
cnf(c_162,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnf_transformation,[],[f190]) ).
cnf(c_177,plain,
op1(e12,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f175]) ).
cnf(c_178,plain,
op1(e13,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f174]) ).
cnf(c_179,plain,
op1(e12,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f173]) ).
cnf(c_186,plain,
op1(e11,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f166]) ).
cnf(c_194,plain,
op2(e23,e23) != op2(e23,e21),
inference(cnf_transformation,[],[f254]) ).
cnf(c_196,plain,
op2(e23,e23) != op2(e23,e20),
inference(cnf_transformation,[],[f252]) ).
cnf(c_197,plain,
op2(e23,e22) != op2(e23,e20),
inference(cnf_transformation,[],[f251]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f238]) ).
cnf(c_225,plain,
op2(e22,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f223]) ).
cnf(c_226,plain,
op2(e23,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f222]) ).
cnf(c_227,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f221]) ).
cnf(c_234,plain,
op2(e21,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f214]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f261]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f260]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f259]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f258]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f257]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f256]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f267]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f266]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f265]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f264]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f263]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f262]) ).
cnf(c_272,plain,
( ~ sP2
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_275,plain,
( op1(e10,e10) != e10
| ~ sP0 ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_276,plain,
( ~ sP0
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_286,plain,
( op1(e12,e12) != e13
| op1(e12,e12) != e12
| op1(e11,e11) = e12
| sP2 ),
inference(cnf_transformation,[],[f314]) ).
cnf(c_288,plain,
( op1(e12,e12) != e13
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| sP2 ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_292,plain,
( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| sP2 ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_308,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| sP0 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_312,plain,
( ~ sP6
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f326]) ).
cnf(c_315,plain,
( op2(e20,e20) != e20
| ~ sP4 ),
inference(cnf_transformation,[],[f331]) ).
cnf(c_316,plain,
( ~ sP4
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_326,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != e22
| op2(e21,e21) = e22
| sP6 ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_328,plain,
( op2(e22,e22) != e23
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| sP6 ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_332,plain,
( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| sP6 ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_348,plain,
( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| sP4 ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_349,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[],[f366]) ).
cnf(c_350,plain,
op1(op1(e12,e12),op1(e12,e12)) = e11,
inference(cnf_transformation,[],[f365]) ).
cnf(c_351,plain,
op1(op1(e12,e12),e12) = e10,
inference(cnf_transformation,[],[f364]) ).
cnf(c_352,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[],[f369]) ).
cnf(c_353,plain,
op2(op2(e22,e22),op2(e22,e22)) = e21,
inference(cnf_transformation,[],[f368]) ).
cnf(c_354,plain,
op2(op2(e22,e22),e22) = e20,
inference(cnf_transformation,[],[f367]) ).
cnf(c_355,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f373]) ).
cnf(c_357,plain,
op2(op2(e20,e20),e20) = h1(e10),
inference(cnf_transformation,[],[f371]) ).
cnf(c_359,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f377]) ).
cnf(c_361,plain,
op2(op2(e21,e21),e21) = h2(e10),
inference(cnf_transformation,[],[f375]) ).
cnf(c_363,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f381]) ).
cnf(c_364,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f380]) ).
cnf(c_365,plain,
op2(op2(e22,e22),e22) = h3(e10),
inference(cnf_transformation,[],[f379]) ).
cnf(c_366,plain,
h3(e12) = e22,
inference(cnf_transformation,[],[f378]) ).
cnf(c_367,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f385]) ).
cnf(c_369,plain,
op2(op2(e23,e23),e23) = h4(e10),
inference(cnf_transformation,[],[f383]) ).
cnf(c_384,plain,
( h3(e12) != e22
| ~ sP16 ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_389,plain,
( h3(e11) != e21
| ~ sP15 ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_394,plain,
( h3(e10) != e20
| ~ sP14 ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_423,negated_conjecture,
( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| h3(e13) != e23
| sP16
| sP15
| sP14 ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_459,plain,
~ sP4,
inference(global_subsumption_just,[status(thm)],[c_316,c_316,c_315]) ).
cnf(c_461,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_276,c_276,c_275]) ).
cnf(c_467,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(global_subsumption_just,[status(thm)],[c_348,c_348,c_459]) ).
cnf(c_468,plain,
( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20 ),
inference(renaming,[status(thm)],[c_467]) ).
cnf(c_471,plain,
( op2(e21,e21) = e22
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_332,c_352,c_328,c_326]) ).
cnf(c_475,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(global_subsumption_just,[status(thm)],[c_308,c_308,c_461]) ).
cnf(c_476,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10 ),
inference(renaming,[status(thm)],[c_475]) ).
cnf(c_479,plain,
( op1(e11,e11) = e12
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_292,c_349,c_288,c_286]) ).
cnf(c_547,plain,
( op2(e21,e21) = e22
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_326,c_471]) ).
cnf(c_571,plain,
( op1(e11,e11) = e12
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_286,c_479]) ).
cnf(c_599,plain,
op2(e22,e22) = e23,
inference(global_subsumption_just,[status(thm)],[c_102,c_352]) ).
cnf(c_605,plain,
op1(e12,e12) = e13,
inference(global_subsumption_just,[status(thm)],[c_54,c_349]) ).
cnf(c_629,plain,
( h3(e13) != e23
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| sP15
| sP14 ),
inference(global_subsumption_just,[status(thm)],[c_423,c_366,c_384,c_423]) ).
cnf(c_630,negated_conjecture,
( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| h3(e13) != e23
| sP15
| sP14 ),
inference(renaming,[status(thm)],[c_629]) ).
cnf(c_2537,plain,
h3(e13) = e23,
inference(light_normalisation,[status(thm)],[c_363,c_599]) ).
cnf(c_2538,plain,
( h2(e13) = e22
| sP6 ),
inference(demodulation,[status(thm)],[c_547,c_359]) ).
cnf(c_2656,plain,
op2(e23,e22) = e20,
inference(light_normalisation,[status(thm)],[c_354,c_599]) ).
cnf(c_2657,plain,
op1(e13,e12) = e10,
inference(light_normalisation,[status(thm)],[c_351,c_605]) ).
cnf(c_2663,plain,
( ~ sP6
| h1(e13) = e22 ),
inference(light_normalisation,[status(thm)],[c_312,c_355]) ).
cnf(c_2685,plain,
op2(h4(e13),e23) = h4(e10),
inference(light_normalisation,[status(thm)],[c_369,c_367]) ).
cnf(c_2686,plain,
h3(e10) = e20,
inference(light_normalisation,[status(thm)],[c_365,c_599,c_2656]) ).
cnf(c_2688,plain,
( e20 != e20
| ~ sP14 ),
inference(demodulation,[status(thm)],[c_394,c_2686]) ).
cnf(c_2689,plain,
~ sP14,
inference(equality_resolution_simp,[status(thm)],[c_2688]) ).
cnf(c_2690,plain,
op2(h2(e13),e21) = h2(e10),
inference(light_normalisation,[status(thm)],[c_361,c_359]) ).
cnf(c_2691,plain,
op2(h1(e13),e20) = h1(e10),
inference(light_normalisation,[status(thm)],[c_357,c_355]) ).
cnf(c_2715,plain,
op2(e20,e21) != h2(e13),
inference(light_normalisation,[status(thm)],[c_234,c_359]) ).
cnf(c_2718,plain,
op2(e20,e22) != e23,
inference(light_normalisation,[status(thm)],[c_227,c_599]) ).
cnf(c_2719,plain,
op2(e20,e22) != e20,
inference(light_normalisation,[status(thm)],[c_226,c_2656]) ).
cnf(c_2720,plain,
op2(e21,e22) != e23,
inference(light_normalisation,[status(thm)],[c_225,c_599]) ).
cnf(c_2729,plain,
op2(e21,e20) != h2(e13),
inference(light_normalisation,[status(thm)],[c_210,c_359]) ).
cnf(c_2735,plain,
op2(e23,e20) != e20,
inference(light_normalisation,[status(thm)],[c_197,c_2656]) ).
cnf(c_2736,plain,
op2(e23,e20) != h4(e13),
inference(light_normalisation,[status(thm)],[c_196,c_367]) ).
cnf(c_2738,plain,
op2(e23,e21) != h4(e13),
inference(light_normalisation,[status(thm)],[c_194,c_367]) ).
cnf(c_2740,plain,
op1(e10,e12) != e13,
inference(light_normalisation,[status(thm)],[c_179,c_605]) ).
cnf(c_2741,plain,
op1(e10,e12) != e10,
inference(light_normalisation,[status(thm)],[c_178,c_2657]) ).
cnf(c_2742,plain,
op1(e11,e12) != e13,
inference(light_normalisation,[status(thm)],[c_177,c_605]) ).
cnf(c_2748,plain,
op1(e13,e10) != e10,
inference(light_normalisation,[status(thm)],[c_149,c_2657]) ).
cnf(c_2751,plain,
h4(e13) = e21,
inference(light_normalisation,[status(thm)],[c_353,c_599,c_367]) ).
cnf(c_2753,plain,
op2(e23,e21) != e21,
inference(demodulation,[status(thm)],[c_2738,c_2751]) ).
cnf(c_2754,plain,
op2(e23,e20) != e21,
inference(demodulation,[status(thm)],[c_2736,c_2751]) ).
cnf(c_2758,plain,
op2(e21,e23) = h4(e10),
inference(demodulation,[status(thm)],[c_2685,c_2751]) ).
cnf(c_2761,plain,
op2(e23,e23) = e21,
inference(demodulation,[status(thm)],[c_367,c_2751]) ).
cnf(c_2769,plain,
op1(e13,e13) = e11,
inference(light_normalisation,[status(thm)],[c_350,c_605]) ).
cnf(c_2771,plain,
op1(e13,e11) != e11,
inference(demodulation,[status(thm)],[c_146,c_2769]) ).
cnf(c_2772,plain,
op1(e13,e10) != e11,
inference(demodulation,[status(thm)],[c_148,c_2769]) ).
cnf(c_2787,plain,
h3(e11) = e21,
inference(light_normalisation,[status(thm)],[c_364,c_599,c_2761]) ).
cnf(c_2788,plain,
( e21 != e21
| ~ sP15 ),
inference(demodulation,[status(thm)],[c_389,c_2787]) ).
cnf(c_2789,plain,
~ sP15,
inference(equality_resolution_simp,[status(thm)],[c_2788]) ).
cnf(c_2813,plain,
( op1(e11,e11) = e10
| e13 = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_476,c_605,c_2769]) ).
cnf(c_2814,plain,
op1(e11,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_2813,c_246,c_244]) ).
cnf(c_2818,plain,
op1(e11,e10) != e10,
inference(demodulation,[status(thm)],[c_162,c_2814]) ).
cnf(c_2821,plain,
op1(e10,e11) != e10,
inference(demodulation,[status(thm)],[c_186,c_2814]) ).
cnf(c_2823,plain,
( e12 = e10
| sP2 ),
inference(demodulation,[status(thm)],[c_571,c_2814]) ).
cnf(c_2824,plain,
sP2,
inference(forward_subsumption_resolution,[status(thm)],[c_2823,c_245]) ).
cnf(c_2825,plain,
op1(e10,e10) = e12,
inference(backward_subsumption_resolution,[status(thm)],[c_272,c_2824]) ).
cnf(c_2837,plain,
( h2(e13) = e20
| e23 = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_468,c_599,c_359,c_2761]) ).
cnf(c_2838,plain,
h2(e13) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2837,c_252,c_250]) ).
cnf(c_2846,plain,
op2(e21,e20) != e20,
inference(demodulation,[status(thm)],[c_2729,c_2838]) ).
cnf(c_2849,plain,
op2(e20,e21) != e20,
inference(demodulation,[status(thm)],[c_2715,c_2838]) ).
cnf(c_2851,plain,
op2(e20,e21) = h2(e10),
inference(demodulation,[status(thm)],[c_2690,c_2838]) ).
cnf(c_2854,plain,
( e22 = e20
| sP6 ),
inference(demodulation,[status(thm)],[c_2538,c_2838]) ).
cnf(c_2855,plain,
op2(e21,e21) = e20,
inference(demodulation,[status(thm)],[c_359,c_2838]) ).
cnf(c_2856,plain,
sP6,
inference(forward_subsumption_resolution,[status(thm)],[c_2854,c_251]) ).
cnf(c_2857,plain,
h1(e13) = e22,
inference(backward_subsumption_resolution,[status(thm)],[c_2663,c_2856]) ).
cnf(c_2865,plain,
op2(e22,e20) = h1(e10),
inference(demodulation,[status(thm)],[c_2691,c_2857]) ).
cnf(c_2870,plain,
op2(e20,e20) = e22,
inference(demodulation,[status(thm)],[c_355,c_2857]) ).
cnf(c_2889,plain,
h2(e10) != e20,
inference(light_normalisation,[status(thm)],[c_2849,c_2851]) ).
cnf(c_2910,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| h2(e10) = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_144,c_2851,c_2870]) ).
cnf(c_2911,plain,
op2(e20,e23) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2910,c_251,c_2889,c_2719]) ).
cnf(c_2918,plain,
( op2(e23,e20) = e20
| op2(e21,e20) = e20
| h1(e10) = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_143,c_2865,c_2870]) ).
cnf(c_2919,plain,
h1(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2918,c_251,c_2846,c_2735]) ).
cnf(c_2926,plain,
op2(e22,e20) = e20,
inference(demodulation,[status(thm)],[c_2865,c_2919]) ).
cnf(c_2928,plain,
( op2(e20,e22) = e21
| h2(e10) = e21
| e22 = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_142,c_2851,c_2870,c_2911]) ).
cnf(c_2929,plain,
( op2(e20,e22) = e21
| h2(e10) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2928,c_252,c_249]) ).
cnf(c_2934,plain,
( op2(e23,e20) = e21
| op2(e21,e20) = e21
| e22 = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_141,c_2870,c_2926]) ).
cnf(c_2935,plain,
op2(e21,e20) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_2934,c_252,c_249,c_2754]) ).
cnf(c_2941,plain,
( op2(e20,e22) = e23
| h2(e10) = e23
| e23 = e22
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_138,c_2851,c_2870,c_2911]) ).
cnf(c_2942,plain,
h2(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2941,c_250,c_247,c_2718]) ).
cnf(c_2943,plain,
( op2(e20,e22) = e21
| e23 = e21 ),
inference(demodulation,[status(thm)],[c_2929,c_2942]) ).
cnf(c_2949,plain,
op2(e20,e21) = e23,
inference(demodulation,[status(thm)],[c_2851,c_2942]) ).
cnf(c_2950,plain,
op2(e20,e22) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_2943,c_248]) ).
cnf(c_2955,plain,
( op2(e23,e20) = e23
| e23 = e22
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_137,c_2870,c_2926,c_2935]) ).
cnf(c_2956,plain,
op2(e23,e20) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2955,c_250,c_248,c_247]) ).
cnf(c_2961,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| e23 = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_133,c_2855,c_2949]) ).
cnf(c_2962,plain,
op2(e22,e21) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_2961,c_252,c_248,c_2753]) ).
cnf(c_2967,plain,
( op2(e21,e22) = e22
| h4(e10) = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_132,c_2758,c_2855,c_2935]) ).
cnf(c_2968,plain,
( op2(e21,e22) = e22
| h4(e10) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2967,c_251,c_249]) ).
cnf(c_2973,plain,
( op2(e23,e21) = e22
| e23 = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_131,c_2855,c_2949,c_2962]) ).
cnf(c_2974,plain,
op2(e23,e21) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_2973,c_251,c_249,c_247]) ).
cnf(c_2978,plain,
( op2(e21,e22) = e23
| h4(e10) = e23
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_130,c_2758,c_2855,c_2935]) ).
cnf(c_2979,plain,
h4(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2978,c_250,c_248,c_2720]) ).
cnf(c_2980,plain,
( op2(e21,e22) = e22
| e23 = e22 ),
inference(demodulation,[status(thm)],[c_2968,c_2979]) ).
cnf(c_2985,plain,
op2(e21,e23) = e23,
inference(demodulation,[status(thm)],[c_2758,c_2979]) ).
cnf(c_2987,plain,
op2(e21,e22) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_2980,c_247]) ).
cnf(c_2991,plain,
( op2(e22,e23) = e22
| e23 = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_124,c_599,c_2926,c_2962]) ).
cnf(c_2992,plain,
op2(e22,e23) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_2991,c_251,c_249,c_247]) ).
cnf(c_2996,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_96,c_2825]) ).
cnf(c_2997,plain,
op1(e10,e13) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_2996,c_245,c_2821,c_2741]) ).
cnf(c_3004,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_95,c_2825]) ).
cnf(c_3005,plain,
op1(e12,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3004,c_245,c_2818,c_2748]) ).
cnf(c_3012,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| e12 = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_94,c_2825,c_2997]) ).
cnf(c_3013,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3012,c_246,c_243]) ).
cnf(c_3016,plain,
( op1(e13,e10) = e11
| op1(e11,e10) = e11
| e12 = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_93,c_2825,c_3005]) ).
cnf(c_3017,plain,
op1(e11,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3016,c_246,c_243,c_2772]) ).
cnf(c_3023,plain,
( op1(e10,e12) = e13
| op1(e10,e11) = e13
| e13 = e12
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_90,c_2825,c_2997]) ).
cnf(c_3024,plain,
op1(e10,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3023,c_244,c_241,c_2740]) ).
cnf(c_3025,plain,
( op1(e10,e12) = e11
| e13 = e11 ),
inference(demodulation,[status(thm)],[c_3013,c_3024]) ).
cnf(c_3031,plain,
op1(e10,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3025,c_242]) ).
cnf(c_3036,plain,
( op1(e13,e10) = e13
| e13 = e12
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_89,c_2825,c_3005,c_3017]) ).
cnf(c_3037,plain,
op1(e13,e10) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3036,c_244,c_242,c_241]) ).
cnf(c_3042,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| e13 = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_85,c_2814,c_3024]) ).
cnf(c_3043,plain,
op1(e12,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3042,c_246,c_242,c_2771]) ).
cnf(c_3048,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_84,c_2814,c_3017]) ).
cnf(c_3049,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3048,c_245,c_243]) ).
cnf(c_3052,plain,
( op1(e13,e11) = e12
| e13 = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_83,c_2814,c_3024,c_3043]) ).
cnf(c_3053,plain,
op1(e13,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3052,c_245,c_243,c_241]) ).
cnf(c_3057,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_82,c_2814,c_3017]) ).
cnf(c_3058,plain,
op1(e11,e13) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3057,c_244,c_242,c_2742]) ).
cnf(c_3059,plain,
( op1(e11,e12) = e12
| e13 = e12 ),
inference(demodulation,[status(thm)],[c_3049,c_3058]) ).
cnf(c_3064,plain,
op1(e11,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3059,c_241]) ).
cnf(c_3068,plain,
( op1(e12,e13) = e12
| e13 = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_76,c_605,c_3005,c_3043]) ).
cnf(c_3069,plain,
op1(e12,e13) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3068,c_245,c_243,c_241]) ).
cnf(c_3075,plain,
( h3(e13) != e23
| e23 != e23
| e22 != e22
| e21 != e21
| e20 != e20
| sP15
| sP14 ),
inference(light_normalisation,[status(thm)],[c_630,c_605,c_599,c_366,c_2537,c_2656,c_2657,c_2686,c_2761,c_2769,c_2787,c_2814,c_2825,c_2855,c_2870,c_2911,c_2926,c_2935,c_2949,c_2950,c_2956,c_2962,c_2974,c_2985,c_2987,c_2992,c_2997,c_3005,c_3017,c_3024,c_3031,c_3037,c_3043,c_3053,c_3058,c_3064,c_3069]) ).
cnf(c_3076,plain,
( h3(e13) != e23
| sP15
| sP14 ),
inference(equality_resolution_simp,[status(thm)],[c_3075]) ).
cnf(c_3077,plain,
( e23 != e23
| sP15
| sP14 ),
inference(demodulation,[status(thm)],[c_3076,c_2537]) ).
cnf(c_3078,plain,
( sP15
| sP14 ),
inference(equality_resolution_simp,[status(thm)],[c_3077]) ).
cnf(c_3079,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3078,c_2689,c_2789]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG114+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 23:13:50 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 2.89/1.15 % SZS status Started for theBenchmark.p
% 2.89/1.15 % SZS status Theorem for theBenchmark.p
% 2.89/1.15
% 2.89/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.89/1.15
% 2.89/1.15 ------ iProver source info
% 2.89/1.15
% 2.89/1.15 git: date: 2024-05-02 19:28:25 +0000
% 2.89/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.89/1.15 git: non_committed_changes: false
% 2.89/1.15
% 2.89/1.15 ------ Parsing...
% 2.89/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.89/1.15
% 2.89/1.15 ------ Preprocessing...
% 2.89/1.15
% 2.89/1.15 % SZS status Theorem for theBenchmark.p
% 2.89/1.15
% 2.89/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.89/1.16
% 2.89/1.16
%------------------------------------------------------------------------------