TSTP Solution File: ALG117+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG117+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:03:47 EDT 2024
% Result : Theorem 2.86s 1.17s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 37
% Syntax : Number of formulae : 375 ( 168 unt; 0 def)
% Number of atoms : 2076 (1915 equ)
% Maximal formula atoms : 128 ( 5 avg)
% Number of connectives : 2496 ( 795 ~;1144 |; 557 &)
% ( 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13 ) )
& ( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12 ) )
& ( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11 ) )
& ( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23 ) )
& ( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22 ) )
& ( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21 ) )
& ( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(e13,e13)
& e11 = op1(op1(e13,e13),e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(e23,e23)
& e21 = op2(op2(e23,e23),e23)
& e20 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e12)
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e10) = op2(e20,op2(e20,e20))
& e20 = h1(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e12)
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e10) = op2(e21,op2(e21,e21))
& e21 = h2(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e12)
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e10) = op2(e22,op2(e22,e22))
& e22 = h3(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e12)
& op2(op2(e23,e23),e23) = h4(e11)
& op2(e23,op2(e23,e23)) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox/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/sandbox/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(e10,e11)
& op1(e10,e10) = e11 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e10 != op1(e10,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(e12,e13)
& e13 = op1(e12,e12) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11) )
| sP3 )
& ( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11) )
| sP2 )
& ( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| sP1 )
& ( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12) )
| ( e11 != op1(e11,e10)
& 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(e20,e21)
& op2(e20,e20) = e21 )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22 )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f29,plain,
( ( e20 != op2(e20,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(e22,e23)
& e23 = op2(e22,e22) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21) )
| sP7 )
& ( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21) )
| sP6 )
& ( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| sP5 )
& ( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22) )
| ( e21 != op2(e21,e20)
& 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(f44,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13 )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f46,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11 )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f47,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f48,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23 )
| ~ sP7 ),
inference(nnf_transformation,[],[f29]) ).
fof(f50,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21 )
| ~ sP5 ),
inference(nnf_transformation,[],[f27]) ).
fof(f51,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP4 ),
inference(nnf_transformation,[],[f26]) ).
fof(f52,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP19 ),
inference(nnf_transformation,[],[f42]) ).
fof(f53,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP18 ),
inference(nnf_transformation,[],[f41]) ).
fof(f54,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f79,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
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(f84,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
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(f90,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
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(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(f127,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
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(f132,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
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(f138,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
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(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(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(f177,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f201,plain,
op1(e12,e12) != op1(e12,e13),
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(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(f225,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f229,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f238,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f248,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f249,plain,
op2(e22,e22) != op2(e22,e23),
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(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(f284,plain,
( op1(e10,e10) = e13
| ~ sP3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f288,plain,
( op1(e10,e10) = e11
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f289,plain,
( e10 != op1(e10,e11)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
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(f300,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e12)
| e11 = op1(e11,e11)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f301,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e12)
| e11 != op1(e11,e11)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f316,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e12)
| e13 = op1(e11,e11)
| sP3 ),
inference(cnf_transformation,[],[f25]) ).
fof(f320,plain,
( e13 != op1(e13,e13)
| e13 = op1(e12,e12)
| e13 = op1(e11,e11)
| sP3 ),
inference(cnf_transformation,[],[f25]) ).
fof(f324,plain,
( op2(e20,e20) = e23
| ~ sP7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f328,plain,
( op2(e20,e20) = e21
| ~ sP5 ),
inference(cnf_transformation,[],[f50]) ).
fof(f329,plain,
( e20 != op2(e20,e21)
| ~ sP5 ),
inference(cnf_transformation,[],[f50]) ).
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(f340,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e22)
| e21 = op2(e21,e21)
| sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f341,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e22)
| e21 != op2(e21,e21)
| sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f356,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e22)
| e23 = op2(e21,e21)
| sP7 ),
inference(cnf_transformation,[],[f30]) ).
fof(f360,plain,
( e23 != op2(e23,e23)
| e23 = op2(e22,e22)
| e23 = op2(e21,e21)
| sP7 ),
inference(cnf_transformation,[],[f30]) ).
fof(f364,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f365,plain,
e11 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f366,plain,
e12 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f367,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f368,plain,
e21 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f369,plain,
e22 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f371,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f372,plain,
h1(e11) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f373,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f377,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f381,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f382,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f383,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f384,plain,
op2(op2(e23,e23),e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f385,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f388,plain,
( e22 != h4(e12)
| ~ sP19 ),
inference(cnf_transformation,[],[f52]) ).
fof(f391,plain,
( e21 != h4(e11)
| ~ sP18 ),
inference(cnf_transformation,[],[f53]) ).
fof(f394,plain,
( e20 != h4(e10)
| ~ sP17 ),
inference(cnf_transformation,[],[f54]) ).
fof(f446,plain,
( 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)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f448,plain,
( e23 != h4(e12)
| 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)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f449,plain,
( e23 != h4(e13)
| 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)) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_49,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f79]) ).
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_85,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_86,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f90]) ).
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_91,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_92,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f84]) ).
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_97,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[],[f127]) ).
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_133,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_134,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f138]) ).
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_139,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_140,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f132]) ).
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_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_151,plain,
op1(e12,e13) != op1(e12,e12),
inference(cnf_transformation,[],[f201]) ).
cnf(c_152,plain,
op1(e12,e13) != op1(e12,e11),
inference(cnf_transformation,[],[f200]) ).
cnf(c_162,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnf_transformation,[],[f190]) ).
cnf(c_171,plain,
op1(e12,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f181]) ).
cnf(c_175,plain,
op1(e13,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f177]) ).
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_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_199,plain,
op2(e22,e23) != op2(e22,e22),
inference(cnf_transformation,[],[f249]) ).
cnf(c_200,plain,
op2(e22,e23) != op2(e22,e21),
inference(cnf_transformation,[],[f248]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f238]) ).
cnf(c_219,plain,
op2(e22,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f229]) ).
cnf(c_223,plain,
op2(e23,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f225]) ).
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_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_270,plain,
( ~ sP3
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_273,plain,
( op1(e10,e11) != e10
| ~ sP1 ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_274,plain,
( ~ sP1
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f288]) ).
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_280,plain,
( op1(e13,e13) != e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| sP3 ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_284,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| sP3 ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_299,plain,
( op1(e11,e11) != e11
| op1(e13,e13) = e11
| op1(e12,e12) = e11
| sP1 ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_300,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| sP1 ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_308,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| sP0 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_310,plain,
( ~ sP7
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f324]) ).
cnf(c_313,plain,
( op2(e20,e21) != e20
| ~ sP5 ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_314,plain,
( ~ sP5
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f328]) ).
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_320,plain,
( op2(e23,e23) != e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| sP7 ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_324,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| sP7 ),
inference(cnf_transformation,[],[f356]) ).
cnf(c_339,plain,
( op2(e21,e21) != e21
| op2(e23,e23) = e21
| op2(e22,e22) = e21
| sP5 ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_340,plain,
( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| sP5 ),
inference(cnf_transformation,[],[f340]) ).
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(e13,e13) = e12,
inference(cnf_transformation,[],[f366]) ).
cnf(c_350,plain,
op1(op1(e13,e13),e13) = e11,
inference(cnf_transformation,[],[f365]) ).
cnf(c_351,plain,
op1(e13,op1(e13,e13)) = e10,
inference(cnf_transformation,[],[f364]) ).
cnf(c_352,plain,
op2(e23,e23) = e22,
inference(cnf_transformation,[],[f369]) ).
cnf(c_353,plain,
op2(op2(e23,e23),e23) = e21,
inference(cnf_transformation,[],[f368]) ).
cnf(c_354,plain,
op2(e23,op2(e23,e23)) = e20,
inference(cnf_transformation,[],[f367]) ).
cnf(c_355,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f373]) ).
cnf(c_356,plain,
op2(op2(e20,e20),e20) = h1(e11),
inference(cnf_transformation,[],[f372]) ).
cnf(c_357,plain,
op2(e20,op2(e20,e20)) = h1(e10),
inference(cnf_transformation,[],[f371]) ).
cnf(c_359,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f377]) ).
cnf(c_363,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f381]) ).
cnf(c_367,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f385]) ).
cnf(c_368,plain,
op2(op2(e23,e23),e23) = h4(e11),
inference(cnf_transformation,[],[f384]) ).
cnf(c_369,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f383]) ).
cnf(c_370,plain,
h4(e13) = e23,
inference(cnf_transformation,[],[f382]) ).
cnf(c_372,plain,
( h4(e12) != e22
| ~ sP19 ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_377,plain,
( h4(e11) != e21
| ~ sP18 ),
inference(cnf_transformation,[],[f391]) ).
cnf(c_382,plain,
( h4(e10) != e20
| ~ sP17 ),
inference(cnf_transformation,[],[f394]) ).
cnf(c_419,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| h4(e13) != e23
| sP19
| sP18
| sP17 ),
inference(cnf_transformation,[],[f449]) ).
cnf(c_420,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| h4(e12) != e23
| sP19
| sP18
| sP17 ),
inference(cnf_transformation,[],[f448]) ).
cnf(c_422,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| h4(e10) != e23
| sP19
| sP18
| sP17 ),
inference(cnf_transformation,[],[f446]) ).
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_469,plain,
( op2(e22,e22) = e21
| op2(e23,e23) = e21
| sP5 ),
inference(global_subsumption_just,[status(thm)],[c_340,c_340,c_339]) ).
cnf(c_470,plain,
( op2(e23,e23) = e21
| op2(e22,e22) = e21
| sP5 ),
inference(renaming,[status(thm)],[c_469]) ).
cnf(c_473,plain,
( op2(e22,e22) = e23
| op2(e21,e21) = e23
| sP7 ),
inference(global_subsumption_just,[status(thm)],[c_324,c_324,c_320]) ).
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_477,plain,
( op1(e12,e12) = e11
| op1(e13,e13) = e11
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_300,c_300,c_299]) ).
cnf(c_478,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11
| sP1 ),
inference(renaming,[status(thm)],[c_477]) ).
cnf(c_481,plain,
( op1(e12,e12) = e13
| op1(e11,e11) = e13
| sP3 ),
inference(global_subsumption_just,[status(thm)],[c_284,c_284,c_280]) ).
cnf(c_489,plain,
( op2(e23,e23) = e21
| op2(e22,e22) = e21
| sP5 ),
inference(global_subsumption_just,[status(thm)],[c_339,c_470]) ).
cnf(c_505,plain,
( op2(e22,e22) = e23
| op2(e21,e21) = e23
| sP7 ),
inference(global_subsumption_just,[status(thm)],[c_320,c_473]) ).
cnf(c_513,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_299,c_478]) ).
cnf(c_529,plain,
( op1(e12,e12) = e13
| op1(e11,e11) = e13
| sP3 ),
inference(global_subsumption_just,[status(thm)],[c_280,c_481]) ).
cnf(c_599,plain,
op2(e23,e23) = e22,
inference(global_subsumption_just,[status(thm)],[c_97,c_352]) ).
cnf(c_605,plain,
op1(e13,e13) = e12,
inference(global_subsumption_just,[status(thm)],[c_49,c_349]) ).
cnf(c_631,plain,
( op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_422,c_370,c_419]) ).
cnf(c_632,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| sP19
| sP18
| sP17 ),
inference(renaming,[status(thm)],[c_631]) ).
cnf(c_635,plain,
( op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_420,c_632]) ).
cnf(c_636,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| sP19
| sP18
| sP17 ),
inference(renaming,[status(thm)],[c_635]) ).
cnf(c_2563,plain,
h4(e12) = e22,
inference(light_normalisation,[status(thm)],[c_367,c_599]) ).
cnf(c_2668,plain,
( e22 != e22
| ~ sP19 ),
inference(demodulation,[status(thm)],[c_372,c_2563]) ).
cnf(c_2669,plain,
~ sP19,
inference(equality_resolution_simp,[status(thm)],[c_2668]) ).
cnf(c_2670,plain,
op2(e23,e22) = e20,
inference(light_normalisation,[status(thm)],[c_354,c_599]) ).
cnf(c_2671,plain,
op2(e22,e23) = e21,
inference(light_normalisation,[status(thm)],[c_353,c_599]) ).
cnf(c_2672,plain,
op1(e13,e12) = e10,
inference(light_normalisation,[status(thm)],[c_351,c_605]) ).
cnf(c_2673,plain,
op1(e12,e13) = e11,
inference(light_normalisation,[status(thm)],[c_350,c_605]) ).
cnf(c_2674,plain,
( ~ sP5
| h1(e12) = e21 ),
inference(light_normalisation,[status(thm)],[c_314,c_355]) ).
cnf(c_2684,plain,
( ~ sP7
| h1(e12) = e23 ),
inference(light_normalisation,[status(thm)],[c_310,c_355]) ).
cnf(c_2701,plain,
h4(e10) = e20,
inference(light_normalisation,[status(thm)],[c_369,c_599,c_2670]) ).
cnf(c_2703,plain,
( e20 != e20
| ~ sP17 ),
inference(demodulation,[status(thm)],[c_382,c_2701]) ).
cnf(c_2704,plain,
~ sP17,
inference(equality_resolution_simp,[status(thm)],[c_2703]) ).
cnf(c_2705,plain,
h4(e11) = e21,
inference(light_normalisation,[status(thm)],[c_368,c_599,c_2671]) ).
cnf(c_2706,plain,
( e21 != e21
| ~ sP18 ),
inference(demodulation,[status(thm)],[c_377,c_2705]) ).
cnf(c_2707,plain,
~ sP18,
inference(equality_resolution_simp,[status(thm)],[c_2706]) ).
cnf(c_2712,plain,
op2(e20,h1(e12)) = h1(e10),
inference(light_normalisation,[status(thm)],[c_357,c_355]) ).
cnf(c_2713,plain,
op2(h1(e12),e20) = h1(e11),
inference(light_normalisation,[status(thm)],[c_356,c_355]) ).
cnf(c_2744,plain,
op2(e20,e22) != h3(e12),
inference(light_normalisation,[status(thm)],[c_227,c_363]) ).
cnf(c_2745,plain,
op2(e20,e22) != e20,
inference(light_normalisation,[status(thm)],[c_226,c_2670]) ).
cnf(c_2748,plain,
h3(e12) != e20,
inference(light_normalisation,[status(thm)],[c_223,c_363,c_2670]) ).
cnf(c_2751,plain,
op2(e21,e23) != e21,
inference(light_normalisation,[status(thm)],[c_219,c_2671]) ).
cnf(c_2757,plain,
op2(e21,e20) != h2(e12),
inference(light_normalisation,[status(thm)],[c_210,c_359]) ).
cnf(c_2763,plain,
op2(e22,e21) != e21,
inference(light_normalisation,[status(thm)],[c_200,c_2671]) ).
cnf(c_2764,plain,
h3(e12) != e21,
inference(light_normalisation,[status(thm)],[c_199,c_363,c_2671]) ).
cnf(c_2765,plain,
op2(e23,e20) != e20,
inference(light_normalisation,[status(thm)],[c_197,c_2670]) ).
cnf(c_2766,plain,
op2(e23,e20) != e22,
inference(light_normalisation,[status(thm)],[c_196,c_599]) ).
cnf(c_2770,plain,
op1(e10,e12) != e10,
inference(light_normalisation,[status(thm)],[c_178,c_2672]) ).
cnf(c_2772,plain,
op1(e12,e12) != e10,
inference(light_normalisation,[status(thm)],[c_175,c_2672]) ).
cnf(c_2775,plain,
op1(e11,e13) != e11,
inference(light_normalisation,[status(thm)],[c_171,c_2673]) ).
cnf(c_2779,plain,
op1(e12,e11) != e11,
inference(light_normalisation,[status(thm)],[c_152,c_2673]) ).
cnf(c_2780,plain,
op1(e12,e12) != e11,
inference(light_normalisation,[status(thm)],[c_151,c_2673]) ).
cnf(c_2781,plain,
op1(e13,e10) != e10,
inference(light_normalisation,[status(thm)],[c_149,c_2672]) ).
cnf(c_2782,plain,
op1(e13,e10) != e12,
inference(light_normalisation,[status(thm)],[c_148,c_605]) ).
cnf(c_2792,plain,
( op1(e12,e12) = e11
| e12 = e11
| sP1 ),
inference(light_normalisation,[status(thm)],[c_513,c_605]) ).
cnf(c_2793,plain,
sP1,
inference(forward_subsumption_resolution,[status(thm)],[c_2792,c_243,c_2780]) ).
cnf(c_2794,plain,
op1(e10,e10) = e11,
inference(backward_subsumption_resolution,[status(thm)],[c_274,c_2793]) ).
cnf(c_2795,plain,
op1(e10,e11) != e10,
inference(backward_subsumption_resolution,[status(thm)],[c_273,c_2793]) ).
cnf(c_2802,plain,
( ~ sP3
| e13 = e11 ),
inference(demodulation,[status(thm)],[c_270,c_2794]) ).
cnf(c_2805,plain,
~ sP3,
inference(forward_subsumption_resolution,[status(thm)],[c_2802,c_242]) ).
cnf(c_2806,plain,
( op1(e12,e12) = e13
| op1(e11,e11) = e13 ),
inference(backward_subsumption_resolution,[status(thm)],[c_529,c_2805]) ).
cnf(c_2811,plain,
( h2(e12) = e23
| h3(e12) = e23
| sP7 ),
inference(light_normalisation,[status(thm)],[c_505,c_359,c_363]) ).
cnf(c_2818,plain,
( h3(e12) = e21
| e22 = e21
| sP5 ),
inference(light_normalisation,[status(thm)],[c_489,c_599,c_363]) ).
cnf(c_2819,plain,
sP5,
inference(forward_subsumption_resolution,[status(thm)],[c_2818,c_249,c_2764]) ).
cnf(c_2820,plain,
h1(e12) = e21,
inference(backward_subsumption_resolution,[status(thm)],[c_2674,c_2819]) ).
cnf(c_2821,plain,
op2(e20,e21) != e20,
inference(backward_subsumption_resolution,[status(thm)],[c_313,c_2819]) ).
cnf(c_2828,plain,
op2(e21,e20) = h1(e11),
inference(demodulation,[status(thm)],[c_2713,c_2820]) ).
cnf(c_2829,plain,
op2(e20,e21) = h1(e10),
inference(demodulation,[status(thm)],[c_2712,c_2820]) ).
cnf(c_2830,plain,
( ~ sP7
| e23 = e21 ),
inference(demodulation,[status(thm)],[c_2684,c_2820]) ).
cnf(c_2834,plain,
op2(e20,e20) = e21,
inference(demodulation,[status(thm)],[c_355,c_2820]) ).
cnf(c_2837,plain,
~ sP7,
inference(forward_subsumption_resolution,[status(thm)],[c_2830,c_248]) ).
cnf(c_2838,plain,
( h2(e12) = e23
| h3(e12) = e23 ),
inference(backward_subsumption_resolution,[status(thm)],[c_2811,c_2837]) ).
cnf(c_2850,plain,
h1(e11) != h2(e12),
inference(demodulation,[status(thm)],[c_2757,c_2828]) ).
cnf(c_2855,plain,
h1(e10) != e20,
inference(light_normalisation,[status(thm)],[c_2821,c_2829]) ).
cnf(c_2862,plain,
( op1(e12,e12) = e10
| op1(e11,e11) = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_476,c_605]) ).
cnf(c_2863,plain,
op1(e11,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_2862,c_245,c_2772]) ).
cnf(c_2864,plain,
( op1(e12,e12) = e13
| e13 = e10 ),
inference(demodulation,[status(thm)],[c_2806,c_2863]) ).
cnf(c_2867,plain,
op1(e11,e10) != e10,
inference(demodulation,[status(thm)],[c_162,c_2863]) ).
cnf(c_2871,plain,
op1(e12,e12) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_2864,c_244]) ).
cnf(c_2877,plain,
op1(e10,e12) != e13,
inference(demodulation,[status(thm)],[c_179,c_2871]) ).
cnf(c_2878,plain,
( h2(e12) = e20
| h3(e12) = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_468,c_599,c_359,c_363]) ).
cnf(c_2879,plain,
h2(e12) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2878,c_251,c_2748]) ).
cnf(c_2880,plain,
h1(e11) != e20,
inference(demodulation,[status(thm)],[c_2850,c_2879]) ).
cnf(c_2882,plain,
( h3(e12) = e23
| e23 = e20 ),
inference(demodulation,[status(thm)],[c_2838,c_2879]) ).
cnf(c_2891,plain,
op2(e21,e21) = e20,
inference(demodulation,[status(thm)],[c_359,c_2879]) ).
cnf(c_2905,plain,
h3(e12) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2882,c_250]) ).
cnf(c_2911,plain,
op2(e20,e22) != e23,
inference(demodulation,[status(thm)],[c_2744,c_2905]) ).
cnf(c_2914,plain,
op2(e22,e22) = e23,
inference(demodulation,[status(thm)],[c_363,c_2905]) ).
cnf(c_2926,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| h1(e10) = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_144,c_2829,c_2834]) ).
cnf(c_2927,plain,
op2(e20,e23) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2926,c_252,c_2855,c_2745]) ).
cnf(c_2933,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| h1(e11) = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_143,c_2828,c_2834]) ).
cnf(c_2934,plain,
op2(e22,e20) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2933,c_252,c_2880,c_2765]) ).
cnf(c_2940,plain,
( op2(e20,e22) = e22
| h1(e10) = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_140,c_2829,c_2834,c_2927]) ).
cnf(c_2941,plain,
( op2(e20,e22) = e22
| h1(e10) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2940,c_251,c_249]) ).
cnf(c_2946,plain,
( op2(e23,e20) = e22
| h1(e11) = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_139,c_2828,c_2834,c_2934]) ).
cnf(c_2947,plain,
h1(e11) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_2946,c_251,c_249,c_2766]) ).
cnf(c_2955,plain,
op2(e21,e20) = e22,
inference(demodulation,[status(thm)],[c_2828,c_2947]) ).
cnf(c_2959,plain,
( op2(e20,e22) = e23
| h1(e10) = e23
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_138,c_2829,c_2834,c_2927]) ).
cnf(c_2960,plain,
h1(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2959,c_250,c_248,c_2911]) ).
cnf(c_2961,plain,
( op2(e20,e22) = e22
| e23 = e22 ),
inference(demodulation,[status(thm)],[c_2941,c_2960]) ).
cnf(c_2968,plain,
op2(e20,e21) = e23,
inference(demodulation,[status(thm)],[c_2829,c_2960]) ).
cnf(c_2969,plain,
op2(e20,e22) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_2961,c_247]) ).
cnf(c_2974,plain,
( op2(e23,e20) = e23
| e23 = e22
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_137,c_2834,c_2934,c_2955]) ).
cnf(c_2975,plain,
op2(e23,e20) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2974,c_250,c_248,c_247]) ).
cnf(c_2980,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| e22 = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_134,c_2891,c_2955]) ).
cnf(c_2981,plain,
op2(e21,e22) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_2980,c_252,c_249,c_2751]) ).
cnf(c_2986,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| e23 = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_133,c_2891,c_2968]) ).
cnf(c_2987,plain,
op2(e23,e21) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_2986,c_252,c_248,c_2763]) ).
cnf(c_2992,plain,
( op2(e22,e21) = e22
| e23 = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_131,c_2891,c_2968,c_2987]) ).
cnf(c_2993,plain,
op2(e22,e21) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_2992,c_251,c_249,c_247]) ).
cnf(c_2997,plain,
( op2(e21,e23) = e23
| e23 = e22
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_130,c_2891,c_2955,c_2981]) ).
cnf(c_2998,plain,
op2(e21,e23) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2997,c_250,c_248,c_247]) ).
cnf(c_3002,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_96,c_2794]) ).
cnf(c_3003,plain,
op1(e10,e13) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3002,c_246,c_2795,c_2770]) ).
cnf(c_3009,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_95,c_2794]) ).
cnf(c_3010,plain,
op1(e12,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3009,c_246,c_2867,c_2781]) ).
cnf(c_3016,plain,
( op1(e10,e12) = e12
| op1(e10,e11) = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_92,c_2794,c_3003]) ).
cnf(c_3017,plain,
( op1(e10,e12) = e12
| op1(e10,e11) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3016,c_245,c_243]) ).
cnf(c_3020,plain,
( op1(e13,e10) = e12
| op1(e11,e10) = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_91,c_2794,c_3010]) ).
cnf(c_3021,plain,
op1(e11,e10) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3020,c_245,c_243,c_2782]) ).
cnf(c_3027,plain,
( op1(e10,e12) = e13
| op1(e10,e11) = e13
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_90,c_2794,c_3003]) ).
cnf(c_3028,plain,
op1(e10,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3027,c_244,c_242,c_2877]) ).
cnf(c_3029,plain,
( op1(e10,e12) = e12
| e13 = e12 ),
inference(demodulation,[status(thm)],[c_3017,c_3028]) ).
cnf(c_3035,plain,
op1(e10,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3029,c_241]) ).
cnf(c_3040,plain,
( op1(e13,e10) = e13
| e13 = e12
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_89,c_2794,c_3010,c_3021]) ).
cnf(c_3041,plain,
op1(e13,e10) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3040,c_244,c_242,c_241]) ).
cnf(c_3046,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| e12 = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_86,c_2863,c_3021]) ).
cnf(c_3047,plain,
op1(e11,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3046,c_246,c_243,c_2775]) ).
cnf(c_3052,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| e13 = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_85,c_2863,c_3028]) ).
cnf(c_3053,plain,
op1(e13,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3052,c_246,c_242,c_2779]) ).
cnf(c_3058,plain,
( op1(e12,e11) = e12
| e13 = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_83,c_2863,c_3028,c_3053]) ).
cnf(c_3059,plain,
op1(e12,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3058,c_245,c_243,c_241]) ).
cnf(c_3063,plain,
( op1(e11,e13) = e13
| e13 = e12
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_82,c_2863,c_3021,c_3047]) ).
cnf(c_3064,plain,
op1(e11,e13) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3063,c_244,c_242,c_241]) ).
cnf(c_3068,plain,
( e23 != e23
| e22 != e22
| e21 != e21
| e20 != e20
| sP19
| sP18
| sP17 ),
inference(light_normalisation,[status(thm)],[c_636,c_605,c_599,c_370,c_2563,c_2670,c_2671,c_2672,c_2673,c_2701,c_2705,c_2794,c_2834,c_2863,c_2871,c_2891,c_2914,c_2927,c_2934,c_2955,c_2968,c_2969,c_2975,c_2981,c_2987,c_2993,c_2998,c_3003,c_3010,c_3021,c_3028,c_3035,c_3041,c_3047,c_3053,c_3059,c_3064]) ).
cnf(c_3069,plain,
( sP19
| sP18
| sP17 ),
inference(equality_resolution_simp,[status(thm)],[c_3068]) ).
cnf(c_3070,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3069,c_2704,c_2707,c_2669]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG117+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:52:33 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 2.86/1.17 % SZS status Started for theBenchmark.p
% 2.86/1.17 % SZS status Theorem for theBenchmark.p
% 2.86/1.17
% 2.86/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.86/1.17
% 2.86/1.17 ------ iProver source info
% 2.86/1.17
% 2.86/1.17 git: date: 2024-05-02 19:28:25 +0000
% 2.86/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.86/1.17 git: non_committed_changes: false
% 2.86/1.17
% 2.86/1.17 ------ Parsing...
% 2.86/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.86/1.17
% 2.86/1.17 ------ Preprocessing...
% 2.86/1.17
% 2.86/1.17 % SZS status Theorem for theBenchmark.p
% 2.86/1.17
% 2.86/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.86/1.17
% 2.86/1.17
%------------------------------------------------------------------------------