TSTP Solution File: ALG126+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG126+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:03:50 EDT 2024
% Result : Theorem 6.07s 1.69s
% Output : CNFRefutation 6.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f713)
% 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(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) ) )
& ( ( ( 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,op1(e13,e13))
& e12 = op1(e13,op1(e13,e12))
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| ( ( 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(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ( ( 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(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ( ( 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) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(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(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) ) )
& ( ( ( 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,op2(e23,e23))
& e22 = op2(e23,op2(e23,e22))
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20)) )
| ( ( 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(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ( ( 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(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ( ( 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) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(op1(e11,e11),op1(e11,e11))
& e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11))
& e10 = op1(e11,e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(op2(e21,e21),op2(e21,e21))
& e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& e20 = op2(e21,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(op2(e20,e20),op2(e20,e20)) = h1(e13)
& h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& op2(e20,e20) = h1(e10)
& e20 = h1(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(op2(e21,e21),op2(e21,e21)) = h2(e13)
& op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = h2(e12)
& op2(e21,e21) = h2(e10)
& e21 = h2(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(op2(e22,e22),op2(e22,e22)) = h3(e13)
& h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& op2(e22,e22) = h3(e10)
& e22 = h3(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(op2(e23,e23),op2(e23,e23)) = h4(e13)
& h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& op2(e23,e23) = h4(e10)
& e23 = h4(e11) ),
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,
( ( ( 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) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( ( 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(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( ( 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(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f37,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f38,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f39,plain,
( ( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 )
& ( ( ( 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,op1(e13,e13))
& e12 = op1(e13,op1(e13,e12))
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f40,plain,
( ( ( 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) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( ( 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(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( ( 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(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f50,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f51,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f52,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f53,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f54,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f55,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f56,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f57,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f58,plain,
( ( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21 )
& ( ( ( 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,op2(e23,e23))
& e22 = op2(e23,op2(e23,e22))
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20)) )
| sP20
| sP19
| sP18 ) ),
inference(definition_folding,[],[f11,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40]) ).
fof(f59,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f61,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f62,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f63,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f64,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f65,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f66,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f67,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f68,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f69,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f70,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f71,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP47
| sP46
| sP45
| 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) )
| sP44
| sP43
| sP42
| 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) )
| sP41
| sP40
| sP39
| 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) )
| sP38
| sP37
| sP36
| 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,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59]) ).
fof(f72,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP17 ),
inference(nnf_transformation,[],[f38]) ).
fof(f73,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP16 ),
inference(nnf_transformation,[],[f37]) ).
fof(f74,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP15 ),
inference(nnf_transformation,[],[f36]) ).
fof(f75,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f76,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f77,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f78,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f79,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f80,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f81,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f82,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f83,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f84,plain,
( ( ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f85,plain,
( ( ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f86,plain,
( ( ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f87,plain,
( ( ( 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(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f88,plain,
( ( ( 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(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f89,plain,
( ( ( 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) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f90,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP35 ),
inference(nnf_transformation,[],[f57]) ).
fof(f91,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP34 ),
inference(nnf_transformation,[],[f56]) ).
fof(f92,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP33 ),
inference(nnf_transformation,[],[f55]) ).
fof(f93,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP32 ),
inference(nnf_transformation,[],[f54]) ).
fof(f94,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP31 ),
inference(nnf_transformation,[],[f53]) ).
fof(f95,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f96,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f97,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f98,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f99,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f100,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f101,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f102,plain,
( ( ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f103,plain,
( ( ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f104,plain,
( ( ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f105,plain,
( ( ( 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(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f106,plain,
( ( ( 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(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f107,plain,
( ( ( 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) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f114,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f115,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f116,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f125,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f129,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f130,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f133,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f136,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f151,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f153,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f154,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f157,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f160,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f175,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f178,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f179,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f181,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f184,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f197,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f205,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f213,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f222,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f230,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f233,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f240,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f242,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f256,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f258,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f259,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f261,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f266,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f269,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f270,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f272,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f274,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f275,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f280,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f282,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f285,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f288,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f290,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f292,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f295,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f296,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f298,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f299,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f301,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f302,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f303,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f306,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f307,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f308,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f309,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f312,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f313,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f314,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f315,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f316,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f317,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f318,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f319,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f320,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f321,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f322,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f323,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f340,plain,
( e13 = op1(e13,e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f72]) ).
fof(f341,plain,
( e13 = op1(e12,e13)
| ~ sP17 ),
inference(cnf_transformation,[],[f72]) ).
fof(f348,plain,
( e10 != op1(e11,e11)
| e11 != op1(e11,e10)
| ~ sP16 ),
inference(cnf_transformation,[],[f73]) ).
fof(f352,plain,
( e13 = op1(e13,e10)
| ~ sP15 ),
inference(cnf_transformation,[],[f74]) ).
fof(f359,plain,
( e12 = op1(e13,e12)
| ~ sP14 ),
inference(cnf_transformation,[],[f75]) ).
fof(f364,plain,
( e12 = op1(e12,e12)
| ~ sP13 ),
inference(cnf_transformation,[],[f76]) ).
fof(f372,plain,
( e10 != op1(e11,e11)
| e11 != op1(e11,e10)
| ~ sP12 ),
inference(cnf_transformation,[],[f77]) ).
fof(f376,plain,
( e12 = op1(e12,e10)
| ~ sP11 ),
inference(cnf_transformation,[],[f78]) ).
fof(f382,plain,
( e11 = op1(e11,e13)
| ~ sP10 ),
inference(cnf_transformation,[],[f79]) ).
fof(f388,plain,
( e11 = op1(e11,e12)
| ~ sP9 ),
inference(cnf_transformation,[],[f80]) ).
fof(f394,plain,
( e11 = op1(e11,e11)
| ~ sP8 ),
inference(cnf_transformation,[],[f81]) ).
fof(f401,plain,
( e11 = op1(e10,e11)
| ~ sP7 ),
inference(cnf_transformation,[],[f82]) ).
fof(f405,plain,
( op1(e10,e10) != e13
| e10 != op1(e10,e13)
| ~ sP7 ),
inference(cnf_transformation,[],[f82]) ).
fof(f407,plain,
( e10 = op1(e13,e10)
| ~ sP6 ),
inference(cnf_transformation,[],[f83]) ).
fof(f412,plain,
( e10 = op1(e10,e12)
| ~ sP5 ),
inference(cnf_transformation,[],[f84]) ).
fof(f417,plain,
( e13 != op1(e12,e12)
| e12 != op1(e12,e13)
| ~ sP5 ),
inference(cnf_transformation,[],[f84]) ).
fof(f418,plain,
( e10 = op1(e10,e11)
| ~ sP4 ),
inference(cnf_transformation,[],[f85]) ).
fof(f424,plain,
( e10 = op1(e10,e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f86]) ).
fof(f431,plain,
( e11 = op1(e12,op1(e12,e11))
| ~ sP2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f444,plain,
( e12 = op1(e12,e11)
| e11 != op1(e12,e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f453,plain,
( e13 = op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f89]) ).
fof(f454,plain,
( e10 = op1(e13,op1(e13,e10))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f462,plain,
( e13 = op1(e13,e13)
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f39]) ).
fof(f466,plain,
( e12 != op1(e13,e13)
| e13 != op1(e13,e12)
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f39]) ).
fof(f468,plain,
( e23 = op2(e23,e22)
| ~ sP35 ),
inference(cnf_transformation,[],[f90]) ).
fof(f469,plain,
( e23 = op2(e22,e23)
| ~ sP35 ),
inference(cnf_transformation,[],[f90]) ).
fof(f476,plain,
( e20 != op2(e21,e21)
| e21 != op2(e21,e20)
| ~ sP34 ),
inference(cnf_transformation,[],[f91]) ).
fof(f480,plain,
( e23 = op2(e23,e20)
| ~ sP33 ),
inference(cnf_transformation,[],[f92]) ).
fof(f487,plain,
( e22 = op2(e23,e22)
| ~ sP32 ),
inference(cnf_transformation,[],[f93]) ).
fof(f492,plain,
( e22 = op2(e22,e22)
| ~ sP31 ),
inference(cnf_transformation,[],[f94]) ).
fof(f500,plain,
( e20 != op2(e21,e21)
| e21 != op2(e21,e20)
| ~ sP30 ),
inference(cnf_transformation,[],[f95]) ).
fof(f504,plain,
( e22 = op2(e22,e20)
| ~ sP29 ),
inference(cnf_transformation,[],[f96]) ).
fof(f510,plain,
( e21 = op2(e21,e23)
| ~ sP28 ),
inference(cnf_transformation,[],[f97]) ).
fof(f516,plain,
( e21 = op2(e21,e22)
| ~ sP27 ),
inference(cnf_transformation,[],[f98]) ).
fof(f522,plain,
( e21 = op2(e21,e21)
| ~ sP26 ),
inference(cnf_transformation,[],[f99]) ).
fof(f529,plain,
( e21 = op2(e20,e21)
| ~ sP25 ),
inference(cnf_transformation,[],[f100]) ).
fof(f533,plain,
( op2(e20,e20) != e23
| e20 != op2(e20,e23)
| ~ sP25 ),
inference(cnf_transformation,[],[f100]) ).
fof(f535,plain,
( e20 = op2(e23,e20)
| ~ sP24 ),
inference(cnf_transformation,[],[f101]) ).
fof(f540,plain,
( e20 = op2(e20,e22)
| ~ sP23 ),
inference(cnf_transformation,[],[f102]) ).
fof(f543,plain,
( e21 != op2(e22,e22)
| e22 != op2(e22,e21)
| ~ sP23 ),
inference(cnf_transformation,[],[f102]) ).
fof(f545,plain,
( e23 != op2(e22,e22)
| e22 != op2(e22,e23)
| ~ sP23 ),
inference(cnf_transformation,[],[f102]) ).
fof(f546,plain,
( e20 = op2(e20,e21)
| ~ sP22 ),
inference(cnf_transformation,[],[f103]) ).
fof(f552,plain,
( e20 = op2(e20,e20)
| ~ sP21 ),
inference(cnf_transformation,[],[f104]) ).
fof(f559,plain,
( e21 = op2(e22,op2(e22,e21))
| ~ sP20 ),
inference(cnf_transformation,[],[f105]) ).
fof(f561,plain,
( e23 = op2(e22,op2(e22,e23))
| ~ sP20 ),
inference(cnf_transformation,[],[f105]) ).
fof(f572,plain,
( e22 = op2(e22,e21)
| e21 != op2(e22,e22)
| ~ sP19 ),
inference(cnf_transformation,[],[f106]) ).
fof(f574,plain,
( e20 = op2(e20,op2(e20,e20))
| ~ sP18 ),
inference(cnf_transformation,[],[f107]) ).
fof(f581,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP18 ),
inference(cnf_transformation,[],[f107]) ).
fof(f582,plain,
( e20 = op2(e23,op2(e23,e20))
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f58]) ).
fof(f586,plain,
( e20 = op2(e20,e23)
| op2(e20,e20) != e23
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f58]) ).
fof(f590,plain,
( e23 = op2(e23,e23)
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21 ),
inference(cnf_transformation,[],[f58]) ).
fof(f594,plain,
( e22 != op2(e23,e23)
| e23 != op2(e23,e22)
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21 ),
inference(cnf_transformation,[],[f58]) ).
fof(f596,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f597,plain,
e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f598,plain,
e13 = op1(op1(e11,e11),op1(e11,e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f599,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f600,plain,
e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f601,plain,
e23 = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f603,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f605,plain,
op2(op2(e20,e20),op2(e20,e20)) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f606,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f607,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f608,plain,
op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f609,plain,
op2(op2(e21,e21),op2(e21,e21)) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f611,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f614,plain,
e23 = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f615,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f616,plain,
h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f617,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f644,plain,
( e22 != h2(e12)
| ~ sP41 ),
inference(cnf_transformation,[],[f114]) ).
fof(f647,plain,
( e21 != h2(e11)
| ~ sP40 ),
inference(cnf_transformation,[],[f115]) ).
fof(f650,plain,
( e20 != h2(e10)
| ~ sP39 ),
inference(cnf_transformation,[],[f116]) ).
fof(f673,plain,
( e23 != h2(e13)
| sP41
| sP40
| sP39
| 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)) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_51,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_54,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_55,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_59,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_65,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_70,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_72,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_75,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_76,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_77,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_78,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_79,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_81,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_85,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_92,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_93,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_95,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_96,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_99,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_101,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_102,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_105,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_109,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_115,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_117,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[],[f211]) ).
cnf(c_118,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_119,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_120,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_122,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[],[f206]) ).
cnf(c_123,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_124,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_125,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_129,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_130,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_131,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_133,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_141,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_143,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_144,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_147,plain,
op1(e13,e12) != op1(e13,e11),
inference(cnf_transformation,[],[f261]) ).
cnf(c_149,plain,
op1(e13,e12) != op1(e13,e10),
inference(cnf_transformation,[],[f259]) ).
cnf(c_150,plain,
op1(e13,e11) != op1(e13,e10),
inference(cnf_transformation,[],[f258]) ).
cnf(c_152,plain,
op1(e12,e13) != op1(e12,e11),
inference(cnf_transformation,[],[f256]) ).
cnf(c_153,plain,
op1(e12,e12) != op1(e12,e11),
inference(cnf_transformation,[],[f255]) ).
cnf(c_155,plain,
op1(e12,e12) != op1(e12,e10),
inference(cnf_transformation,[],[f253]) ).
cnf(c_159,plain,
op1(e11,e12) != op1(e11,e11),
inference(cnf_transformation,[],[f249]) ).
cnf(c_160,plain,
op1(e11,e13) != op1(e11,e10),
inference(cnf_transformation,[],[f248]) ).
cnf(c_161,plain,
op1(e11,e12) != op1(e11,e10),
inference(cnf_transformation,[],[f247]) ).
cnf(c_162,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnf_transformation,[],[f246]) ).
cnf(c_166,plain,
op1(e10,e13) != op1(e10,e10),
inference(cnf_transformation,[],[f242]) ).
cnf(c_168,plain,
op1(e10,e11) != op1(e10,e10),
inference(cnf_transformation,[],[f240]) ).
cnf(c_175,plain,
op1(e13,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f233]) ).
cnf(c_178,plain,
op1(e13,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f230]) ).
cnf(c_181,plain,
op1(e13,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f227]) ).
cnf(c_182,plain,
op1(e13,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f226]) ).
cnf(c_183,plain,
op1(e12,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f225]) ).
cnf(c_184,plain,
op1(e13,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f224]) ).
cnf(c_185,plain,
op1(e12,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f223]) ).
cnf(c_186,plain,
op1(e11,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f222]) ).
cnf(c_187,plain,
op1(e13,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f221]) ).
cnf(c_190,plain,
op1(e13,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f218]) ).
cnf(c_195,plain,
op2(e23,e22) != op2(e23,e21),
inference(cnf_transformation,[],[f309]) ).
cnf(c_196,plain,
op2(e23,e23) != op2(e23,e20),
inference(cnf_transformation,[],[f308]) ).
cnf(c_197,plain,
op2(e23,e22) != op2(e23,e20),
inference(cnf_transformation,[],[f307]) ).
cnf(c_198,plain,
op2(e23,e21) != op2(e23,e20),
inference(cnf_transformation,[],[f306]) ).
cnf(c_201,plain,
op2(e22,e22) != op2(e22,e21),
inference(cnf_transformation,[],[f303]) ).
cnf(c_202,plain,
op2(e22,e23) != op2(e22,e20),
inference(cnf_transformation,[],[f302]) ).
cnf(c_203,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnf_transformation,[],[f301]) ).
cnf(c_205,plain,
op2(e21,e23) != op2(e21,e22),
inference(cnf_transformation,[],[f299]) ).
cnf(c_206,plain,
op2(e21,e23) != op2(e21,e21),
inference(cnf_transformation,[],[f298]) ).
cnf(c_208,plain,
op2(e21,e23) != op2(e21,e20),
inference(cnf_transformation,[],[f296]) ).
cnf(c_209,plain,
op2(e21,e22) != op2(e21,e20),
inference(cnf_transformation,[],[f295]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f294]) ).
cnf(c_212,plain,
op2(e20,e23) != op2(e20,e21),
inference(cnf_transformation,[],[f292]) ).
cnf(c_214,plain,
op2(e20,e23) != op2(e20,e20),
inference(cnf_transformation,[],[f290]) ).
cnf(c_216,plain,
op2(e20,e21) != op2(e20,e20),
inference(cnf_transformation,[],[f288]) ).
cnf(c_219,plain,
op2(e22,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f285]) ).
cnf(c_222,plain,
op2(e21,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f282]) ).
cnf(c_224,plain,
op2(e23,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f280]) ).
cnf(c_226,plain,
op2(e23,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f278]) ).
cnf(c_229,plain,
op2(e23,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f275]) ).
cnf(c_230,plain,
op2(e23,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f274]) ).
cnf(c_232,plain,
op2(e23,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f272]) ).
cnf(c_234,plain,
op2(e21,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f270]) ).
cnf(c_235,plain,
op2(e23,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f269]) ).
cnf(c_238,plain,
op2(e23,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f266]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f317]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f316]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f315]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f314]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f313]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f312]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f323]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f322]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f321]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f320]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f319]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f318]) ).
cnf(c_273,plain,
( ~ sP17
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_274,plain,
( ~ sP17
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_278,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP16 ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_286,plain,
( ~ sP15
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_291,plain,
( ~ sP14
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[],[f359]) ).
cnf(c_294,plain,
( op1(e12,e12) != e12
| ~ sP13 ),
inference(cnf_transformation,[],[f686]) ).
cnf(c_298,plain,
( ~ sP13
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_302,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP12 ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_310,plain,
( ~ sP11
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_316,plain,
( ~ sP10
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_322,plain,
( ~ sP9
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_325,plain,
( op1(e11,e11) != e11
| ~ sP8 ),
inference(cnf_transformation,[],[f691]) ).
cnf(c_328,plain,
( ~ sP8
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f394]) ).
cnf(c_329,plain,
( op1(e10,e13) != e10
| op1(e10,e10) != e13
| ~ sP7 ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_333,plain,
( ~ sP7
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[],[f401]) ).
cnf(c_339,plain,
( ~ sP6
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[],[f407]) ).
cnf(c_341,plain,
( op1(e12,e13) != e12
| op1(e12,e12) != e13
| ~ sP5 ),
inference(cnf_transformation,[],[f417]) ).
cnf(c_342,plain,
( op1(e12,e12) != e12
| ~ sP5 ),
inference(cnf_transformation,[],[f694]) ).
cnf(c_346,plain,
( ~ sP5
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_352,plain,
( ~ sP4
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f418]) ).
cnf(c_356,plain,
( op1(e10,e10) != e10
| ~ sP3 ),
inference(cnf_transformation,[],[f696]) ).
cnf(c_358,plain,
( ~ sP3
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_364,plain,
( ~ sP2
| op1(e12,op1(e12,e11)) = e11 ),
inference(cnf_transformation,[],[f431]) ).
cnf(c_367,plain,
( op1(e12,e12) != e11
| ~ sP1
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[],[f444]) ).
cnf(c_373,plain,
( op1(e13,e13) != e10
| ~ sP0
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f453]) ).
cnf(c_380,plain,
( op1(e13,e13) != e13
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f697]) ).
cnf(c_381,plain,
( op1(e13,e13) != e12
| op1(e13,e12) != e13
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f466]) ).
cnf(c_385,plain,
( op1(e13,e13) = e13
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_392,plain,
( op1(e13,op1(e13,e10)) = e10
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f454]) ).
cnf(c_397,plain,
( ~ sP35
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[],[f469]) ).
cnf(c_398,plain,
( ~ sP35
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[],[f468]) ).
cnf(c_402,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP34 ),
inference(cnf_transformation,[],[f476]) ).
cnf(c_410,plain,
( ~ sP33
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f480]) ).
cnf(c_415,plain,
( ~ sP32
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[],[f487]) ).
cnf(c_418,plain,
( op2(e22,e22) != e22
| ~ sP31 ),
inference(cnf_transformation,[],[f702]) ).
cnf(c_422,plain,
( ~ sP31
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f492]) ).
cnf(c_426,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP30 ),
inference(cnf_transformation,[],[f500]) ).
cnf(c_434,plain,
( ~ sP29
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f504]) ).
cnf(c_440,plain,
( ~ sP28
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[],[f510]) ).
cnf(c_446,plain,
( ~ sP27
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[],[f516]) ).
cnf(c_449,plain,
( op2(e21,e21) != e21
| ~ sP26 ),
inference(cnf_transformation,[],[f707]) ).
cnf(c_452,plain,
( ~ sP26
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f522]) ).
cnf(c_453,plain,
( op2(e20,e23) != e20
| op2(e20,e20) != e23
| ~ sP25 ),
inference(cnf_transformation,[],[f533]) ).
cnf(c_457,plain,
( ~ sP25
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[],[f529]) ).
cnf(c_463,plain,
( ~ sP24
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[],[f535]) ).
cnf(c_465,plain,
( op2(e22,e23) != e22
| op2(e22,e22) != e23
| ~ sP23 ),
inference(cnf_transformation,[],[f545]) ).
cnf(c_466,plain,
( op2(e22,e22) != e22
| ~ sP23 ),
inference(cnf_transformation,[],[f710]) ).
cnf(c_467,plain,
( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP23 ),
inference(cnf_transformation,[],[f543]) ).
cnf(c_470,plain,
( ~ sP23
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f540]) ).
cnf(c_476,plain,
( ~ sP22
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f546]) ).
cnf(c_480,plain,
( op2(e20,e20) != e20
| ~ sP21 ),
inference(cnf_transformation,[],[f712]) ).
cnf(c_482,plain,
( ~ sP21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f552]) ).
cnf(c_486,plain,
( ~ sP20
| op2(e22,op2(e22,e23)) = e23 ),
inference(cnf_transformation,[],[f561]) ).
cnf(c_488,plain,
( ~ sP20
| op2(e22,op2(e22,e21)) = e21 ),
inference(cnf_transformation,[],[f559]) ).
cnf(c_491,plain,
( op2(e22,e22) != e21
| ~ sP19
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[],[f572]) ).
cnf(c_497,plain,
( op2(e23,e23) != e20
| ~ sP18
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f581]) ).
cnf(c_503,plain,
( ~ sP18
| op2(e20,op2(e20,e20)) = e20 ),
inference(cnf_transformation,[],[f574]) ).
cnf(c_504,plain,
( op2(e23,e23) != e23
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21 ),
inference(cnf_transformation,[],[f713]) ).
cnf(c_505,plain,
( op2(e23,e23) != e22
| op2(e23,e22) != e23
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21 ),
inference(cnf_transformation,[],[f594]) ).
cnf(c_509,plain,
( op2(e23,e23) = e23
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21 ),
inference(cnf_transformation,[],[f590]) ).
cnf(c_512,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f586]) ).
cnf(c_516,plain,
( op2(e23,op2(e23,e20)) = e20
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f582]) ).
cnf(c_517,plain,
op1(op1(e11,e11),op1(e11,e11)) = e13,
inference(cnf_transformation,[],[f598]) ).
cnf(c_518,plain,
op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11)) = e12,
inference(cnf_transformation,[],[f597]) ).
cnf(c_519,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[],[f596]) ).
cnf(c_520,plain,
op2(op2(e21,e21),op2(e21,e21)) = e23,
inference(cnf_transformation,[],[f601]) ).
cnf(c_521,plain,
op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = e22,
inference(cnf_transformation,[],[f600]) ).
cnf(c_522,plain,
op2(e21,e21) = e20,
inference(cnf_transformation,[],[f599]) ).
cnf(c_523,plain,
op2(op2(e20,e20),op2(e20,e20)) = h1(e13),
inference(cnf_transformation,[],[f605]) ).
cnf(c_525,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f603]) ).
cnf(c_527,plain,
op2(op2(e21,e21),op2(e21,e21)) = h2(e13),
inference(cnf_transformation,[],[f609]) ).
cnf(c_528,plain,
op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f608]) ).
cnf(c_529,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f607]) ).
cnf(c_530,plain,
h2(e11) = e21,
inference(cnf_transformation,[],[f606]) ).
cnf(c_533,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f611]) ).
cnf(c_535,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e13),
inference(cnf_transformation,[],[f617]) ).
cnf(c_536,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = h4(e12),
inference(cnf_transformation,[],[f616]) ).
cnf(c_537,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f615]) ).
cnf(c_538,plain,
h4(e11) = e23,
inference(cnf_transformation,[],[f614]) ).
cnf(c_564,plain,
( h2(e12) != e22
| ~ sP41 ),
inference(cnf_transformation,[],[f644]) ).
cnf(c_569,plain,
( h2(e11) != e21
| ~ sP40 ),
inference(cnf_transformation,[],[f647]) ).
cnf(c_574,plain,
( h2(e10) != e20
| ~ sP39 ),
inference(cnf_transformation,[],[f650]) ).
cnf(c_595,negated_conjecture,
( op2(h2(e13),h2(e13)) != h2(op1(e13,e13))
| op2(h2(e13),h2(e12)) != h2(op1(e13,e12))
| op2(h2(e13),h2(e11)) != h2(op1(e13,e11))
| op2(h2(e13),h2(e10)) != h2(op1(e13,e10))
| op2(h2(e12),h2(e13)) != h2(op1(e12,e13))
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| op2(h2(e12),h2(e11)) != h2(op1(e12,e11))
| op2(h2(e12),h2(e10)) != h2(op1(e12,e10))
| op2(h2(e11),h2(e13)) != h2(op1(e11,e13))
| op2(h2(e11),h2(e12)) != h2(op1(e11,e12))
| op2(h2(e11),h2(e11)) != h2(op1(e11,e11))
| op2(h2(e11),h2(e10)) != h2(op1(e11,e10))
| op2(h2(e10),h2(e13)) != h2(op1(e10,e13))
| op2(h2(e10),h2(e12)) != h2(op1(e10,e12))
| op2(h2(e10),h2(e11)) != h2(op1(e10,e11))
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10))
| h2(e13) != e23
| sP41
| sP40
| sP39 ),
inference(cnf_transformation,[],[f673]) ).
cnf(c_627,plain,
~ sP21,
inference(global_subsumption_just,[status(thm)],[c_482,c_482,c_480]) ).
cnf(c_631,plain,
~ sP26,
inference(global_subsumption_just,[status(thm)],[c_452,c_452,c_449]) ).
cnf(c_635,plain,
~ sP31,
inference(global_subsumption_just,[status(thm)],[c_422,c_422,c_418]) ).
cnf(c_639,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_358,c_358,c_356]) ).
cnf(c_643,plain,
~ sP8,
inference(global_subsumption_just,[status(thm)],[c_328,c_328,c_325]) ).
cnf(c_647,plain,
~ sP13,
inference(global_subsumption_just,[status(thm)],[c_298,c_298,c_294]) ).
cnf(c_681,plain,
( op2(e21,e20) != e21
| ~ sP30 ),
inference(global_subsumption_just,[status(thm)],[c_426,c_522,c_426]) ).
cnf(c_689,plain,
( op2(e21,e20) != e21
| ~ sP34 ),
inference(global_subsumption_just,[status(thm)],[c_402,c_522,c_402]) ).
cnf(c_705,plain,
( op1(e11,e10) != e11
| ~ sP12 ),
inference(global_subsumption_just,[status(thm)],[c_302,c_519,c_302]) ).
cnf(c_713,plain,
( op1(e11,e10) != e11
| ~ sP16 ),
inference(global_subsumption_just,[status(thm)],[c_278,c_519,c_278]) ).
cnf(c_715,plain,
( sP22
| sP23
| sP24
| sP25
| sP32
| sP33
| sP34
| sP35
| sP30
| sP29
| sP28
| sP27 ),
inference(global_subsumption_just,[status(thm)],[c_509,c_509,c_504,c_627,c_631,c_635]) ).
cnf(c_716,plain,
( sP35
| sP34
| sP33
| sP32
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22 ),
inference(renaming,[status(thm)],[c_715]) ).
cnf(c_719,plain,
( sP4
| sP5
| sP6
| sP7
| sP14
| sP15
| sP16
| sP17
| sP12
| sP11
| sP10
| sP9 ),
inference(global_subsumption_just,[status(thm)],[c_385,c_385,c_380,c_639,c_643,c_647]) ).
cnf(c_720,plain,
( sP17
| sP16
| sP15
| sP14
| sP12
| sP11
| sP10
| sP9
| sP7
| sP6
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_719]) ).
cnf(c_731,plain,
op2(e21,e21) = e20,
inference(global_subsumption_just,[status(thm)],[c_107,c_522]) ).
cnf(c_737,plain,
op1(e11,e11) = e10,
inference(global_subsumption_just,[status(thm)],[c_59,c_519]) ).
cnf(c_743,plain,
( sP22
| sP23
| sP24
| sP25
| sP32
| sP33
| sP34
| sP35
| sP30
| sP29
| sP28
| sP27 ),
inference(global_subsumption_just,[status(thm)],[c_505,c_716]) ).
cnf(c_744,plain,
( sP35
| sP34
| sP33
| sP32
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22 ),
inference(renaming,[status(thm)],[c_743]) ).
cnf(c_749,plain,
( sP4
| sP5
| sP6
| sP7
| sP14
| sP15
| sP16
| sP17
| sP12
| sP11
| sP10
| sP9 ),
inference(global_subsumption_just,[status(thm)],[c_381,c_720]) ).
cnf(c_750,plain,
( sP17
| sP16
| sP15
| sP14
| sP12
| sP11
| sP10
| sP9
| sP7
| sP6
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_749]) ).
cnf(c_765,plain,
( sP41
| h2(e13) != e23
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10))
| op2(h2(e10),h2(e11)) != h2(op1(e10,e11))
| op2(h2(e10),h2(e12)) != h2(op1(e10,e12))
| op2(h2(e10),h2(e13)) != h2(op1(e10,e13))
| op2(h2(e11),h2(e10)) != h2(op1(e11,e10))
| op2(h2(e11),h2(e11)) != h2(op1(e11,e11))
| op2(h2(e11),h2(e12)) != h2(op1(e11,e12))
| op2(h2(e11),h2(e13)) != h2(op1(e11,e13))
| op2(h2(e12),h2(e10)) != h2(op1(e12,e10))
| op2(h2(e12),h2(e11)) != h2(op1(e12,e11))
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| op2(h2(e12),h2(e13)) != h2(op1(e12,e13))
| op2(h2(e13),h2(e10)) != h2(op1(e13,e10))
| op2(h2(e13),h2(e11)) != h2(op1(e13,e11))
| op2(h2(e13),h2(e12)) != h2(op1(e13,e12))
| op2(h2(e13),h2(e13)) != h2(op1(e13,e13))
| sP39 ),
inference(global_subsumption_just,[status(thm)],[c_595,c_530,c_569,c_595]) ).
cnf(c_766,negated_conjecture,
( op2(h2(e13),h2(e13)) != h2(op1(e13,e13))
| op2(h2(e13),h2(e12)) != h2(op1(e13,e12))
| op2(h2(e13),h2(e11)) != h2(op1(e13,e11))
| op2(h2(e13),h2(e10)) != h2(op1(e13,e10))
| op2(h2(e12),h2(e13)) != h2(op1(e12,e13))
| op2(h2(e12),h2(e12)) != h2(op1(e12,e12))
| op2(h2(e12),h2(e11)) != h2(op1(e12,e11))
| op2(h2(e12),h2(e10)) != h2(op1(e12,e10))
| op2(h2(e11),h2(e13)) != h2(op1(e11,e13))
| op2(h2(e11),h2(e12)) != h2(op1(e11,e12))
| op2(h2(e11),h2(e11)) != h2(op1(e11,e11))
| op2(h2(e11),h2(e10)) != h2(op1(e11,e10))
| op2(h2(e10),h2(e13)) != h2(op1(e10,e13))
| op2(h2(e10),h2(e12)) != h2(op1(e10,e12))
| op2(h2(e10),h2(e11)) != h2(op1(e10,e11))
| op2(h2(e10),h2(e10)) != h2(op1(e10,e10))
| h2(e13) != e23
| sP41
| sP39 ),
inference(renaming,[status(thm)],[c_765]) ).
cnf(c_3531,plain,
h2(e10) = e20,
inference(light_normalisation,[status(thm)],[c_529,c_731]) ).
cnf(c_3564,plain,
( e20 != e20
| ~ sP39 ),
inference(demodulation,[status(thm)],[c_574,c_3531]) ).
cnf(c_3565,plain,
~ sP39,
inference(equality_resolution_simp,[status(thm)],[c_3564]) ).
cnf(c_3858,plain,
( h3(e10) != e22
| ~ sP23 ),
inference(light_normalisation,[status(thm)],[c_466,c_533]) ).
cnf(c_3946,plain,
op2(e23,e20) != h1(e10),
inference(light_normalisation,[status(thm)],[c_238,c_525]) ).
cnf(c_3947,plain,
op2(e20,e21) != e20,
inference(light_normalisation,[status(thm)],[c_234,c_731]) ).
cnf(c_3948,plain,
~ sP22,
inference(backward_subsumption_resolution,[status(thm)],[c_476,c_3947]) ).
cnf(c_3950,plain,
op2(e23,e21) != e20,
inference(light_normalisation,[status(thm)],[c_230,c_731]) ).
cnf(c_3957,plain,
op2(e20,e21) != h1(e10),
inference(light_normalisation,[status(thm)],[c_216,c_525]) ).
cnf(c_3959,plain,
op2(e20,e23) != h1(e10),
inference(light_normalisation,[status(thm)],[c_214,c_525]) ).
cnf(c_3960,plain,
op2(e21,e20) != e20,
inference(light_normalisation,[status(thm)],[c_210,c_731]) ).
cnf(c_3962,plain,
op2(e21,e23) != e20,
inference(light_normalisation,[status(thm)],[c_206,c_731]) ).
cnf(c_3963,plain,
op2(e22,e20) != h3(e10),
inference(light_normalisation,[status(thm)],[c_203,c_533]) ).
cnf(c_3964,plain,
op2(e22,e21) != h3(e10),
inference(light_normalisation,[status(thm)],[c_201,c_533]) ).
cnf(c_3966,plain,
op2(e23,e20) != h4(e10),
inference(light_normalisation,[status(thm)],[c_196,c_537]) ).
cnf(c_3969,plain,
op1(e10,e11) != e10,
inference(light_normalisation,[status(thm)],[c_186,c_737]) ).
cnf(c_3970,plain,
~ sP4,
inference(backward_subsumption_resolution,[status(thm)],[c_352,c_3969]) ).
cnf(c_3971,plain,
op1(e12,e11) != e10,
inference(light_normalisation,[status(thm)],[c_183,c_737]) ).
cnf(c_3972,plain,
op1(e13,e11) != e10,
inference(light_normalisation,[status(thm)],[c_182,c_737]) ).
cnf(c_3973,plain,
op1(e11,e10) != e10,
inference(light_normalisation,[status(thm)],[c_162,c_737]) ).
cnf(c_3974,plain,
op1(e11,e12) != e10,
inference(light_normalisation,[status(thm)],[c_159,c_737]) ).
cnf(c_3976,plain,
h1(e10) = e23,
inference(light_normalisation,[status(thm)],[c_520,c_731,c_525]) ).
cnf(c_3977,plain,
op2(e20,e23) != e23,
inference(demodulation,[status(thm)],[c_3959,c_3976]) ).
cnf(c_3979,plain,
op2(e20,e21) != e23,
inference(demodulation,[status(thm)],[c_3957,c_3976]) ).
cnf(c_3980,plain,
op2(e23,e20) != e23,
inference(demodulation,[status(thm)],[c_3946,c_3976]) ).
cnf(c_3988,plain,
op2(e20,e20) = e23,
inference(demodulation,[status(thm)],[c_525,c_3976]) ).
cnf(c_3989,plain,
~ sP33,
inference(backward_subsumption_resolution,[status(thm)],[c_410,c_3980]) ).
cnf(c_3990,plain,
op1(e10,e10) = e13,
inference(light_normalisation,[status(thm)],[c_517,c_737]) ).
cnf(c_3991,plain,
op1(e10,e13) != e13,
inference(demodulation,[status(thm)],[c_166,c_3990]) ).
cnf(c_3993,plain,
op1(e10,e11) != e13,
inference(demodulation,[status(thm)],[c_168,c_3990]) ).
cnf(c_3994,plain,
op1(e13,e10) != e13,
inference(demodulation,[status(thm)],[c_190,c_3990]) ).
cnf(c_4000,plain,
~ sP15,
inference(backward_subsumption_resolution,[status(thm)],[c_286,c_3994]) ).
cnf(c_4001,plain,
( ~ sP18
| op2(e20,e23) = e20 ),
inference(light_normalisation,[status(thm)],[c_503,c_3988]) ).
cnf(c_4102,plain,
op2(h4(e10),h4(e10)) = h4(e13),
inference(light_normalisation,[status(thm)],[c_535,c_537]) ).
cnf(c_4104,plain,
h2(e13) = e23,
inference(light_normalisation,[status(thm)],[c_527,c_731,c_3988]) ).
cnf(c_4106,plain,
h1(e13) = h4(e10),
inference(light_normalisation,[status(thm)],[c_523,c_537,c_3988]) ).
cnf(c_4107,plain,
op2(h1(e13),h1(e13)) = h4(e13),
inference(demodulation,[status(thm)],[c_4102,c_4106]) ).
cnf(c_4110,plain,
op2(e23,e20) != h1(e13),
inference(demodulation,[status(thm)],[c_3966,c_4106]) ).
cnf(c_4120,plain,
op2(e23,e23) = h1(e13),
inference(demodulation,[status(thm)],[c_537,c_4106]) ).
cnf(c_4210,plain,
( sP17
| sP16
| sP14
| sP12
| sP11
| sP10
| sP9
| sP7
| sP6
| sP5 ),
inference(forward_subsumption_resolution,[status(thm)],[c_750,c_3970,c_4000]) ).
cnf(c_4231,plain,
( sP35
| sP34
| sP32
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_744,c_3948,c_3989]) ).
cnf(c_4252,plain,
op2(e23,e20) = e22,
inference(light_normalisation,[status(thm)],[c_521,c_731,c_3988]) ).
cnf(c_4253,plain,
( op2(e23,e22) = e20
| sP20
| sP19
| sP18 ),
inference(demodulation,[status(thm)],[c_516,c_4252]) ).
cnf(c_4254,plain,
h1(e13) != e22,
inference(demodulation,[status(thm)],[c_4110,c_4252]) ).
cnf(c_4256,plain,
op2(e23,e22) != e22,
inference(demodulation,[status(thm)],[c_197,c_4252]) ).
cnf(c_4257,plain,
op2(e23,e21) != e22,
inference(demodulation,[status(thm)],[c_198,c_4252]) ).
cnf(c_4258,plain,
op2(e22,e20) != e22,
inference(demodulation,[status(thm)],[c_235,c_4252]) ).
cnf(c_4260,plain,
( ~ sP24
| e22 = e20 ),
inference(demodulation,[status(thm)],[c_463,c_4252]) ).
cnf(c_4261,plain,
~ sP24,
inference(forward_subsumption_resolution,[status(thm)],[c_4260,c_251]) ).
cnf(c_4262,plain,
( sP35
| sP34
| sP32
| sP30
| sP29
| sP28
| sP27
| sP25
| sP23 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4231,c_4261]) ).
cnf(c_4281,plain,
~ sP29,
inference(backward_subsumption_resolution,[status(thm)],[c_434,c_4258]) ).
cnf(c_4282,plain,
( sP35
| sP34
| sP32
| sP30
| sP28
| sP27
| sP25
| sP23 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4262,c_4281]) ).
cnf(c_4299,plain,
~ sP32,
inference(backward_subsumption_resolution,[status(thm)],[c_415,c_4256]) ).
cnf(c_4300,plain,
( sP35
| sP34
| sP30
| sP28
| sP27
| sP25
| sP23 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4282,c_4299]) ).
cnf(c_4323,plain,
op1(e13,e10) = e12,
inference(light_normalisation,[status(thm)],[c_518,c_737,c_3990]) ).
cnf(c_4324,plain,
( op1(e13,e12) = e10
| sP2
| sP1
| sP0 ),
inference(demodulation,[status(thm)],[c_392,c_4323]) ).
cnf(c_4327,plain,
op1(e13,e12) != e12,
inference(demodulation,[status(thm)],[c_149,c_4323]) ).
cnf(c_4328,plain,
op1(e13,e11) != e12,
inference(demodulation,[status(thm)],[c_150,c_4323]) ).
cnf(c_4329,plain,
op1(e12,e10) != e12,
inference(demodulation,[status(thm)],[c_187,c_4323]) ).
cnf(c_4331,plain,
( ~ sP6
| e12 = e10 ),
inference(demodulation,[status(thm)],[c_339,c_4323]) ).
cnf(c_4332,plain,
~ sP6,
inference(forward_subsumption_resolution,[status(thm)],[c_4331,c_245]) ).
cnf(c_4333,plain,
( sP17
| sP16
| sP14
| sP12
| sP11
| sP10
| sP9
| sP7
| sP5 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4210,c_4332]) ).
cnf(c_4352,plain,
~ sP11,
inference(backward_subsumption_resolution,[status(thm)],[c_310,c_4329]) ).
cnf(c_4353,plain,
( sP17
| sP16
| sP14
| sP12
| sP10
| sP9
| sP7
| sP5 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4333,c_4352]) ).
cnf(c_4370,plain,
~ sP14,
inference(backward_subsumption_resolution,[status(thm)],[c_291,c_4327]) ).
cnf(c_4371,plain,
( sP17
| sP16
| sP12
| sP10
| sP9
| sP7
| sP5 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4353,c_4370]) ).
cnf(c_4394,plain,
op2(h4(e13),h1(e13)) = h4(e12),
inference(light_normalisation,[status(thm)],[c_536,c_4107,c_4120]) ).
cnf(c_4396,plain,
h2(e12) = e22,
inference(light_normalisation,[status(thm)],[c_528,c_731,c_3988,c_4252]) ).
cnf(c_4397,plain,
( e22 != e22
| ~ sP41 ),
inference(demodulation,[status(thm)],[c_564,c_4396]) ).
cnf(c_4398,plain,
~ sP41,
inference(equality_resolution_simp,[status(thm)],[c_4397]) ).
cnf(c_4406,plain,
( h1(e13) != e20
| ~ sP18
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_497,c_4120,c_4252]) ).
cnf(c_4407,plain,
( h1(e13) != e20
| ~ sP18 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4406,c_247]) ).
cnf(c_4413,plain,
( h3(e10) != e21
| ~ sP19
| op2(e22,e21) = e22 ),
inference(light_normalisation,[status(thm)],[c_491,c_533]) ).
cnf(c_4435,plain,
( op1(e13,e13) != e10
| ~ sP0
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_373,c_4323]) ).
cnf(c_4436,plain,
( op1(e13,e13) != e10
| ~ sP0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4435,c_241]) ).
cnf(c_4456,plain,
( e23 != e23
| op2(e20,e23) = e20
| sP20
| sP19
| sP18 ),
inference(demodulation,[status(thm)],[c_512,c_3988]) ).
cnf(c_4457,plain,
( op2(e20,e23) = e20
| sP20
| sP19
| sP18 ),
inference(equality_resolution_simp,[status(thm)],[c_4456]) ).
cnf(c_4462,plain,
( op2(e20,e23) = e20
| sP20
| sP19 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4457,c_4001]) ).
cnf(c_4478,plain,
( op2(e22,e21) != e22
| h3(e10) != e21
| ~ sP23 ),
inference(light_normalisation,[status(thm)],[c_467,c_533]) ).
cnf(c_4485,plain,
( op2(e22,e23) != e22
| h3(e10) != e23
| ~ sP23 ),
inference(light_normalisation,[status(thm)],[c_465,c_533]) ).
cnf(c_4493,plain,
( op2(e20,e23) != e20
| e23 != e23
| ~ sP25 ),
inference(demodulation,[status(thm)],[c_453,c_3988]) ).
cnf(c_4494,plain,
( op2(e20,e23) != e20
| ~ sP25 ),
inference(equality_resolution_simp,[status(thm)],[c_4493]) ).
cnf(c_4574,plain,
( op1(e10,e13) != e10
| e13 != e13
| ~ sP7 ),
inference(demodulation,[status(thm)],[c_329,c_3990]) ).
cnf(c_4575,plain,
( op1(e10,e13) != e10
| ~ sP7 ),
inference(equality_resolution_simp,[status(thm)],[c_4574]) ).
cnf(c_4615,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_144,c_3988]) ).
cnf(c_4616,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4615,c_250,c_3947]) ).
cnf(c_4621,plain,
( op2(e22,e20) = e20
| op2(e21,e20) = e20
| e23 = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_143,c_3988,c_4252]) ).
cnf(c_4622,plain,
op2(e22,e20) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_4621,c_251,c_250,c_3960]) ).
cnf(c_4626,plain,
op2(e22,e23) != e20,
inference(demodulation,[status(thm)],[c_202,c_4622]) ).
cnf(c_4627,plain,
h3(e10) != e20,
inference(demodulation,[status(thm)],[c_3963,c_4622]) ).
cnf(c_4639,plain,
( op2(e21,e20) = e21
| e23 = e21
| e22 = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_141,c_3988,c_4252,c_4622]) ).
cnf(c_4640,plain,
op2(e21,e20) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_4639,c_252,c_249,c_248]) ).
cnf(c_4645,plain,
op2(e21,e23) != e21,
inference(demodulation,[status(thm)],[c_208,c_4640]) ).
cnf(c_4646,plain,
op2(e21,e22) != e21,
inference(demodulation,[status(thm)],[c_209,c_4640]) ).
cnf(c_4648,plain,
( e21 != e21
| ~ sP30 ),
inference(demodulation,[status(thm)],[c_681,c_4640]) ).
cnf(c_4649,plain,
( e21 != e21
| ~ sP34 ),
inference(demodulation,[status(thm)],[c_689,c_4640]) ).
cnf(c_4652,plain,
~ sP34,
inference(equality_resolution_simp,[status(thm)],[c_4649]) ).
cnf(c_4653,plain,
( sP35
| sP30
| sP28
| sP27
| sP25
| sP23 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4300,c_4652]) ).
cnf(c_4666,plain,
~ sP30,
inference(equality_resolution_simp,[status(thm)],[c_4648]) ).
cnf(c_4667,plain,
( sP35
| sP28
| sP27
| sP25
| sP23 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4653,c_4666]) ).
cnf(c_4678,plain,
~ sP27,
inference(backward_subsumption_resolution,[status(thm)],[c_446,c_4646]) ).
cnf(c_4679,plain,
( sP35
| sP28
| sP25
| sP23 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4667,c_4678]) ).
cnf(c_4688,plain,
~ sP28,
inference(backward_subsumption_resolution,[status(thm)],[c_440,c_4645]) ).
cnf(c_4689,plain,
( sP35
| sP25
| sP23 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4679,c_4688]) ).
cnf(c_4704,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e20,e21) = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_133,c_731]) ).
cnf(c_4705,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e20,e21) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4704,c_252]) ).
cnf(c_4718,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e20,e21) = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_131,c_731]) ).
cnf(c_4719,plain,
( op2(e22,e21) = e22
| op2(e20,e21) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4718,c_251,c_4257]) ).
cnf(c_4724,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_130,c_731,c_4640]) ).
cnf(c_4725,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4724,c_250,c_248]) ).
cnf(c_4730,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e20,e21) = e23
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_129,c_731]) ).
cnf(c_4731,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4730,c_250,c_3979]) ).
cnf(c_4750,plain,
( op2(e23,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21
| h3(e10) = e21 ),
inference(light_normalisation,[status(thm)],[c_125,c_533]) ).
cnf(c_4751,plain,
( op2(e23,e22) = e21
| op2(e20,e22) = e21
| h3(e10) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4750,c_4646]) ).
cnf(c_4758,plain,
( op2(e22,e23) = e22
| op2(e22,e21) = e22
| h3(e10) = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_124,c_533,c_4622]) ).
cnf(c_4759,plain,
( op2(e22,e23) = e22
| op2(e22,e21) = e22
| h3(e10) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4758,c_251]) ).
cnf(c_4766,plain,
( op2(e23,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22
| h3(e10) = e22 ),
inference(light_normalisation,[status(thm)],[c_123,c_533]) ).
cnf(c_4767,plain,
( op2(e21,e22) = e22
| op2(e20,e22) = e22
| h3(e10) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4766,c_4256]) ).
cnf(c_4774,plain,
( op2(e22,e23) = e23
| op2(e22,e21) = e23
| h3(e10) = e23
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_122,c_533,c_4622]) ).
cnf(c_4775,plain,
( op2(e22,e23) = e23
| op2(e22,e21) = e23
| h3(e10) = e23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4774,c_250]) ).
cnf(c_4790,plain,
( op2(e23,e22) = e20
| op2(e23,e21) = e20
| h1(e13) = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_120,c_4120,c_4252]) ).
cnf(c_4791,plain,
( op2(e23,e22) = e20
| h1(e13) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4790,c_251,c_3950]) ).
cnf(c_4796,plain,
( op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20
| h1(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_119,c_4120]) ).
cnf(c_4797,plain,
( op2(e20,e23) = e20
| h1(e13) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4796,c_3962,c_4626]) ).
cnf(c_4802,plain,
( op2(e23,e22) = e21
| op2(e23,e21) = e21
| h1(e13) = e21
| e22 = e21 ),
inference(light_normalisation,[status(thm)],[c_118,c_4120,c_4252]) ).
cnf(c_4803,plain,
( op2(e23,e22) = e21
| op2(e23,e21) = e21
| h1(e13) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4802,c_249]) ).
cnf(c_4810,plain,
( op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21
| h1(e13) = e21 ),
inference(light_normalisation,[status(thm)],[c_117,c_4120]) ).
cnf(c_4811,plain,
( op2(e22,e23) = e21
| op2(e20,e23) = e21
| h1(e13) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4810,c_4645]) ).
cnf(c_4818,plain,
( op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22
| h1(e13) = e22 ),
inference(light_normalisation,[status(thm)],[c_115,c_4120]) ).
cnf(c_4819,plain,
( op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4818,c_4254]) ).
cnf(c_4854,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(forward_subsumption_resolution,[status(thm)],[c_109,c_3977]) ).
cnf(c_4866,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_105,c_3962,c_4645]) ).
cnf(c_4878,plain,
( h3(e10) = e23
| h3(e10) = e22
| h3(e10) = e21
| h3(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_102,c_533]) ).
cnf(c_4879,plain,
( h3(e10) = e23
| h3(e10) = e22
| h3(e10) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4878,c_4627]) ).
cnf(c_4886,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_101,c_4626]) ).
cnf(c_4893,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_99,c_3950,c_4257]) ).
cnf(c_4913,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_96,c_3990]) ).
cnf(c_4914,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4913,c_244,c_3969]) ).
cnf(c_4919,plain,
( op1(e12,e10) = e10
| op1(e11,e10) = e10
| e13 = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_95,c_3990,c_4323]) ).
cnf(c_4920,plain,
op1(e12,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_4919,c_245,c_244,c_3973]) ).
cnf(c_4925,plain,
op1(e12,e12) != e10,
inference(demodulation,[status(thm)],[c_155,c_4920]) ).
cnf(c_4937,plain,
( op1(e11,e10) = e11
| e13 = e11
| e12 = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_93,c_3990,c_4323,c_4920]) ).
cnf(c_4938,plain,
op1(e11,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_4937,c_246,c_243,c_242]) ).
cnf(c_4943,plain,
op1(e11,e13) != e11,
inference(demodulation,[status(thm)],[c_160,c_4938]) ).
cnf(c_4944,plain,
op1(e11,e12) != e11,
inference(demodulation,[status(thm)],[c_161,c_4938]) ).
cnf(c_4946,plain,
( e11 != e11
| ~ sP12 ),
inference(demodulation,[status(thm)],[c_705,c_4938]) ).
cnf(c_4947,plain,
( e11 != e11
| ~ sP16 ),
inference(demodulation,[status(thm)],[c_713,c_4938]) ).
cnf(c_4950,plain,
~ sP16,
inference(equality_resolution_simp,[status(thm)],[c_4947]) ).
cnf(c_4951,plain,
( sP17
| sP12
| sP10
| sP9
| sP7
| sP5 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4371,c_4950]) ).
cnf(c_4964,plain,
~ sP12,
inference(equality_resolution_simp,[status(thm)],[c_4946]) ).
cnf(c_4965,plain,
( sP17
| sP10
| sP9
| sP7
| sP5 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4951,c_4964]) ).
cnf(c_4976,plain,
~ sP9,
inference(backward_subsumption_resolution,[status(thm)],[c_322,c_4944]) ).
cnf(c_4977,plain,
( sP17
| sP10
| sP7
| sP5 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4965,c_4976]) ).
cnf(c_4986,plain,
~ sP10,
inference(backward_subsumption_resolution,[status(thm)],[c_316,c_4943]) ).
cnf(c_4987,plain,
( sP17
| sP7
| sP5 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4977,c_4986]) ).
cnf(c_4994,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_92,c_3990]) ).
cnf(c_4995,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4994,c_241]) ).
cnf(c_5002,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e10,e11) = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_85,c_737]) ).
cnf(c_5003,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e10,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5002,c_246]) ).
cnf(c_5028,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e10,e11) = e13
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_81,c_737]) ).
cnf(c_5029,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5028,c_244,c_3993]) ).
cnf(c_5034,plain,
( op1(e13,e12) = e10
| op1(e10,e12) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_79,c_3974,c_4925]) ).
cnf(c_5039,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_78,c_4920]) ).
cnf(c_5040,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5039,c_246]) ).
cnf(c_5047,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e10,e12) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_77,c_4944]) ).
cnf(c_5054,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_76,c_4920]) ).
cnf(c_5055,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5054,c_245]) ).
cnf(c_5062,plain,
( op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_75,c_4327]) ).
cnf(c_5084,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_72,c_4323]) ).
cnf(c_5085,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5084,c_245,c_3972]) ).
cnf(c_5095,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| e12 = e11 ),
inference(light_normalisation,[status(thm)],[c_70,c_4323]) ).
cnf(c_5096,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5095,c_243]) ).
cnf(c_5125,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13 ),
inference(forward_subsumption_resolution,[status(thm)],[c_65,c_3991]) ).
cnf(c_5161,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_55,c_3971]) ).
cnf(c_5168,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_54,c_4925]) ).
cnf(c_5182,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_51,c_3972,c_4328]) ).
cnf(c_5339,plain,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h2(e13) != e23
| e23 != e23
| e22 != e22
| e21 != e21
| e20 != e20
| sP41
| sP39 ),
inference(light_normalisation,[status(thm)],[c_766,c_737,c_731,c_530,c_533,c_3531,c_3988,c_3990,c_4104,c_4120,c_4252,c_4323,c_4396,c_4622,c_4640,c_4920,c_4938]) ).
cnf(c_5340,plain,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| h2(e13) != e23
| sP41
| sP39 ),
inference(equality_resolution_simp,[status(thm)],[c_5339]) ).
cnf(c_5341,plain,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| e23 != e23
| sP41
| sP39 ),
inference(demodulation,[status(thm)],[c_5340,c_4104]) ).
cnf(c_5342,plain,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21)
| sP41
| sP39 ),
inference(equality_resolution_simp,[status(thm)],[c_5341]) ).
cnf(c_5343,plain,
( h2(op1(e13,e13)) != h1(e13)
| h2(op1(e13,e12)) != op2(e23,e22)
| h2(op1(e13,e11)) != op2(e23,e21)
| h2(op1(e12,e13)) != op2(e22,e23)
| h2(op1(e12,e12)) != h3(e10)
| h2(op1(e12,e11)) != op2(e22,e21)
| h2(op1(e11,e13)) != op2(e21,e23)
| h2(op1(e11,e12)) != op2(e21,e22)
| h2(op1(e10,e13)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e22)
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5342,c_3565,c_4398]) ).
cnf(c_5484,plain,
( op1(e10,e13) != e10
| sP17
| sP5 ),
inference(resolution,[status(thm)],[c_4987,c_4575]) ).
cnf(c_5494,plain,
( op1(e10,e11) = e11
| sP17
| sP5 ),
inference(resolution,[status(thm)],[c_4987,c_333]) ).
cnf(c_5510,plain,
( op2(e20,e23) != e20
| sP35
| sP23 ),
inference(resolution,[status(thm)],[c_4689,c_4494]) ).
cnf(c_5520,plain,
( op2(e20,e21) = e21
| sP35
| sP23 ),
inference(resolution,[status(thm)],[c_4689,c_457]) ).
cnf(c_7404,plain,
( op1(e13,e13) != e10
| op1(e13,e12) = e10
| sP2
| sP1 ),
inference(resolution,[status(thm)],[c_4324,c_4436]) ).
cnf(c_7405,plain,
( op1(e13,e12) = e10
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_7404,c_5085,c_7404]) ).
cnf(c_8768,plain,
( h1(e13) != e20
| op2(e23,e22) = e20
| sP20
| sP19 ),
inference(resolution,[status(thm)],[c_4253,c_4407]) ).
cnf(c_8769,plain,
( op2(e23,e22) = e20
| sP20
| sP19 ),
inference(global_subsumption_just,[status(thm)],[c_8768,c_4791,c_8768]) ).
cnf(c_17358,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_8769,c_7405,c_5520,c_5510,c_5494,c_5484,c_5343,c_5182,c_5168,c_5161,c_5125,c_5096,c_5085,c_5062,c_5055,c_5047,c_5040,c_5034,c_5029,c_5003,c_4995,c_4914,c_4893,c_4886,c_4879,c_4866,c_4854,c_4819,c_4811,c_4803,c_4797,c_4791,c_4775,c_4767,c_4759,c_4751,c_4731,c_4725,c_4719,c_4705,c_4616,c_4485,c_4478,c_4462,c_4413,c_4396,c_4394,c_4252,c_4107,c_4104,c_3988,c_3964,c_3858,c_3531,c_538,c_530,c_488,c_486,c_470,c_398,c_397,c_367,c_364,c_346,c_342,c_341,c_274,c_273,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_232,c_229,c_226,c_224,c_222,c_219,c_212,c_205,c_195,c_185,c_184,c_181,c_178,c_175,c_153,c_152,c_147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG126+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 22:43:33 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 6.07/1.69 % SZS status Started for theBenchmark.p
% 6.07/1.69 % SZS status Theorem for theBenchmark.p
% 6.07/1.69
% 6.07/1.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.07/1.69
% 6.07/1.69 ------ iProver source info
% 6.07/1.69
% 6.07/1.69 git: date: 2024-05-02 19:28:25 +0000
% 6.07/1.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 6.07/1.69 git: non_committed_changes: false
% 6.07/1.69
% 6.07/1.69 ------ Parsing...
% 6.07/1.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.07/1.69
% 6.07/1.69 ------ Preprocessing... sup_sim: 439 sf_s rm: 29 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 6.07/1.69
% 6.07/1.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.07/1.69
% 6.07/1.69 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.07/1.69 ------ Proving...
% 6.07/1.69 ------ Problem Properties
% 6.07/1.69
% 6.07/1.69
% 6.07/1.69 clauses 279
% 6.07/1.69 conjectures 0
% 6.07/1.69 EPR 28
% 6.07/1.69 Horn 193
% 6.07/1.69 unary 134
% 6.07/1.69 binary 69
% 6.07/1.69 lits 580
% 6.07/1.69 lits eq 473
% 6.07/1.69 fd_pure 0
% 6.07/1.69 fd_pseudo 0
% 6.07/1.69 fd_cond 0
% 6.07/1.69 fd_pseudo_cond 0
% 6.07/1.69 AC symbols 0
% 6.07/1.69
% 6.07/1.69 ------ Schedule dynamic 5 is on
% 6.07/1.69
% 6.07/1.69 ------ no conjectures: strip conj schedule
% 6.07/1.69
% 6.07/1.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 6.07/1.69
% 6.07/1.69
% 6.07/1.69 ------
% 6.07/1.69 Current options:
% 6.07/1.69 ------
% 6.07/1.69
% 6.07/1.69
% 6.07/1.69
% 6.07/1.69
% 6.07/1.69 ------ Proving...
% 6.07/1.69
% 6.07/1.69
% 6.07/1.69 % SZS status Theorem for theBenchmark.p
% 6.07/1.69
% 6.07/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.12/1.69
% 6.12/1.69
%------------------------------------------------------------------------------