%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG127+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:31 PM UTC 2026
% Result : Theorem 6.30s 1.71s
% Output : CNFRefutation 6.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f641ERROR: Could not build tree for root c_4751ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( 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) = e13 )
& ( 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) = e12 )
& ( 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) = e11 )
& ( 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) = e10 )
& ( 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) = e13 )
& ( 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) = e12 )
& ( 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) = e11 )
& ( 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) = e10 )
& ( 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) = e13 )
& ( 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) = e12 )
& ( 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) = e11 )
& ( 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) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( 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) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( 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) = e23 )
& ( 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) = e22 )
& ( 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) = e21 )
& ( 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) = e20 )
& ( 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) = e23 )
& ( 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) = e22 )
& ( 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) = e21 )
& ( 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) = e20 )
& ( 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) = e23 )
& ( 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) = e22 )
& ( 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) = e21 )
& ( 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) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( 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) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 )
| ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e13,e12) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e13,e11) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e13,e10) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e12,e13) = e12 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e12,e11) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e11,e13) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e11,e12) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e10,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 )
| ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e23,e22) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e23,e21) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e23,e20) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e22,e23) = e22 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e22,e21) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e21,e23) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e21,e22) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e20,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(e12,op1(e12,op1(e12,e12)))
& e10 = op1(e12,op1(e12,e12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(e22,op2(e22,op2(e22,e22)))
& e20 = op2(e22,op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = op2(e20,e20)
& h1(e11) = op2(e20,op2(e20,op2(e20,e20)))
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e12) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e13) = op2(e21,e21)
& h2(e11) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e12) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e13) = op2(e22,e22)
& h3(e11) = op2(e22,op2(e22,op2(e22,e22)))
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e12) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = op2(e23,e23)
& h4(e11) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e12) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& 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)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& 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)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& 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)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& 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)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& 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)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& 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)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& 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,[status(cth)],[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(f73,plain,
( ~ sP16
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f74,plain,
( ~ sP15
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e10,e13) = e10 ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f75,plain,
( ~ sP14
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e11,e10) = e11 ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f76,plain,
( ~ sP13
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f77,plain,
( ~ sP12
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e11,e12) = e11 ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f78,plain,
( ~ sP11
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e11,e13) = e11 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f79,plain,
( ~ sP10
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e12,e10) = e12 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f81,plain,
( ~ sP8
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f82,plain,
( ~ sP7
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e12,e13) = e12 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f83,plain,
( ~ sP6
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e13,e10) = e13 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f85,plain,
( ~ sP4
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e13,e12) = e13 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f86,plain,
( ~ sP3
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f87,plain,
( ~ sP2
| ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f88,plain,
( ~ sP1
| ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f91,plain,
( ~ sP34
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f92,plain,
( ~ sP33
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e20,e23) = e20 ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f93,plain,
( ~ sP32
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e21,e20) = e21 ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f94,plain,
( ~ sP31
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f95,plain,
( ~ sP30
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e21,e22) = e21 ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f96,plain,
( ~ sP29
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e21,e23) = e21 ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f97,plain,
( ~ sP28
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e22,e20) = e22 ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f99,plain,
( ~ sP26
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f100,plain,
( ~ sP25
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e22,e23) = e22 ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f101,plain,
( ~ sP24
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e23,e20) = e23 ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f103,plain,
( ~ sP22
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e23,e22) = e23 ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f104,plain,
( ~ sP21
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f105,plain,
( ~ sP20
| ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f106,plain,
( ~ sP19
| ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f114,plain,
( ~ sP41
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f115,plain,
( ~ sP40
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f116,plain,
( ~ sP39
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f117,plain,
( ~ sP38
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f118,plain,
( ~ sP37
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f122,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f128,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f129,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f130,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f131,plain,
( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f134,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f135,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f138,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f148,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f152,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f153,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f157,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f160,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f170,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f176,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f177,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f178,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f179,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f182,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f186,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f214,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f215,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f221,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f229,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f230,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f231,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f232,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f233,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f236,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f239,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f242,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f251,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f254,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f256,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f257,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f258,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f260,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f261,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f262,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f263,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f269,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f271,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f272,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f274,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f277,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f279,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f280,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f284,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f287,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f290,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f292,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f295,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f296,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f298,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f299,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f300,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f301,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f302,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f304,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f305,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f306,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f308,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f309,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f310,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f311,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f312,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f313,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f314,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f315,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f316,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f317,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f318,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f319,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f320,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f321,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f322,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f323,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f348,plain,
( ~ sP16
| e10 != op1(e10,e12)
| op1(e10,e10) != e12 ),
inference(cnf_transformation,[],[f73]) ).
fof(f349,plain,
( ~ sP16
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f73]) ).
fof(f354,plain,
( ~ sP15
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f74]) ).
fof(f359,plain,
( ~ sP14
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f75]) ).
fof(f364,plain,
( ~ sP13
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f76]) ).
fof(f369,plain,
( ~ sP12
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f77]) ).
fof(f374,plain,
( ~ sP11
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f78]) ).
fof(f379,plain,
( ~ sP10
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f79]) ).
fof(f389,plain,
( ~ sP8
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f81]) ).
fof(f391,plain,
( ~ sP7
| e12 != op1(e12,e13)
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f82]) ).
fof(f394,plain,
( ~ sP7
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f82]) ).
fof(f399,plain,
( ~ sP6
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f83]) ).
fof(f409,plain,
( ~ sP4
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f85]) ).
fof(f414,plain,
( ~ sP3
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f86]) ).
fof(f415,plain,
( ~ sP2
| e13 = op1(e13,e11)
| e11 != op1(e13,e13) ),
inference(cnf_transformation,[],[f87]) ).
fof(f419,plain,
( ~ sP2
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f87]) ).
fof(f424,plain,
( ~ sP1
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f88]) ).
fof(f432,plain,
( sP0
| sP1
| sP2
| e11 = op1(e11,e10)
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f39]) ).
fof(f434,plain,
( sP0
| sP1
| sP2
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f39]) ).
fof(f437,plain,
( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| e11 != op1(e11,e10)
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f39]) ).
fof(f439,plain,
( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f39]) ).
fof(f449,plain,
( ~ sP34
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f91]) ).
fof(f454,plain,
( ~ sP33
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f92]) ).
fof(f459,plain,
( ~ sP32
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f93]) ).
fof(f464,plain,
( ~ sP31
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f94]) ).
fof(f469,plain,
( ~ sP30
| e21 = op2(e21,e22) ),
inference(cnf_transformation,[],[f95]) ).
fof(f474,plain,
( ~ sP29
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f96]) ).
fof(f479,plain,
( ~ sP28
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f97]) ).
fof(f489,plain,
( ~ sP26
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f99]) ).
fof(f491,plain,
( ~ sP25
| e22 != op2(e22,e23)
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f100]) ).
fof(f494,plain,
( ~ sP25
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f100]) ).
fof(f499,plain,
( ~ sP24
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f101]) ).
fof(f509,plain,
( ~ sP22
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f103]) ).
fof(f514,plain,
( ~ sP21
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f104]) ).
fof(f515,plain,
( ~ sP20
| e23 = op2(e23,e21)
| e21 != op2(e23,e23) ),
inference(cnf_transformation,[],[f105]) ).
fof(f519,plain,
( ~ sP20
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f105]) ).
fof(f524,plain,
( ~ sP19
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f106]) ).
fof(f532,plain,
( sP18
| sP19
| sP20
| e21 = op2(e21,e20)
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f58]) ).
fof(f534,plain,
( sP18
| sP19
| sP20
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f58]) ).
fof(f537,plain,
( sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| e21 != op2(e21,e20)
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f58]) ).
fof(f539,plain,
( sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f58]) ).
fof(f540,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f541,plain,
e11 = op1(e12,op1(e12,op1(e12,e12))),
inference(cnf_transformation,[],[f12]) ).
fof(f542,plain,
e10 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f543,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f544,plain,
e21 = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[],[f13]) ).
fof(f545,plain,
e20 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f546,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f550,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f552,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f554,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f555,plain,
op2(e22,op2(e22,op2(e22,e22))) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f556,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f557,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f558,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f559,plain,
h4(e11) = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[],[f17]) ).
fof(f560,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f561,plain,
e23 = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f588,plain,
( ~ sP41
| e21 != h3(e11) ),
inference(cnf_transformation,[],[f114]) ).
fof(f591,plain,
( ~ sP40
| e22 != h3(e12) ),
inference(cnf_transformation,[],[f115]) ).
fof(f594,plain,
( ~ sP39
| e23 != h3(e13) ),
inference(cnf_transformation,[],[f116]) ).
fof(f601,plain,
( ~ sP38
| e21 != h4(e10) ),
inference(cnf_transformation,[],[f117]) ).
fof(f602,plain,
( ~ sP37
| e22 != h4(e13) ),
inference(cnf_transformation,[],[f118]) ).
fof(f612,plain,
( sP36
| sP37
| sP38
| e20 != h4(e11)
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f617,plain,
( sP39
| sP40
| sP41
| 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)) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_49,plain,
( ( op1(e10,e10) = e13 )
| ( op1(e10,e10) = e12 )
| ( op1(e10,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_50,plain,
( ( op1(e10,e11) = e13 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_53,plain,
( ( op1(e11,e10) = e13 )
| ( op1(e11,e10) = e12 )
| ( op1(e11,e10) = e11 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_54,plain,
( ( op1(e11,e11) = e13 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e11) = e10 ) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_55,plain,
( ( op1(e11,e12) = e13 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e12) = e10 ) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_56,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e13) = e12 )
| ( op1(e11,e13) = e11 )
| ( op1(e11,e13) = e10 ) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_62,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e11) = e10 ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_65,plain,
( ( op1(e10,e13) = e10 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_66,plain,
( ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_69,plain,
( ( op1(e10,e13) = e12 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_71,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e12) = e13 )
| ( op1(e10,e11) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_72,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e12,e10) = e13 )
| ( op1(e11,e10) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_73,plain,
( ( op1(e11,e13) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_74,plain,
( ( op1(e13,e11) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_75,plain,
( ( op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_79,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e11,e10) = e13 ) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_80,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_84,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_85,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e10) = e12 ) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_91,plain,
( ( op1(e13,e13) = e11 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e10) = e11 ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_92,plain,
( ( op1(e13,e13) = e11 )
| ( op1(e12,e13) = e11 )
| ( op1(e11,e13) = e11 )
| ( op1(e10,e13) = e11 ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_93,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_94,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e12 )
| ( op1(e10,e13) = e12 ) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_97,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_98,plain,
( ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_101,plain,
( ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_102,plain,
( ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_103,plain,
( ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e20 ) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_104,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e20 ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_110,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e20 ) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_113,plain,
( ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_114,plain,
( ( op2(e23,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e21,e20) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_117,plain,
( ( op2(e20,e23) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_119,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_120,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e22,e20) = e23 )
| ( op2(e21,e20) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_121,plain,
( ( op2(e21,e23) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_122,plain,
( ( op2(e23,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_127,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e20) = e23 ) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_128,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_132,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_133,plain,
( ( op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e20) = e22 ) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_139,plain,
( ( op2(e23,e23) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e20) = e21 ) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_140,plain,
( ( op2(e23,e23) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e20,e23) = e21 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_141,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_142,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e20,e23) = e22 ) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_145,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f263]) ).
tcf(c_146,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f262]) ).
tcf(c_147,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f261]) ).
tcf(c_148,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f260]) ).
tcf(c_150,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f258]) ).
tcf(c_151,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f257]) ).
tcf(c_152,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f256]) ).
tcf(c_154,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f254]) ).
tcf(c_155,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f253]) ).
tcf(c_156,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f252]) ).
tcf(c_157,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f251]) ).
tcf(c_158,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f250]) ).
tcf(c_160,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f248]) ).
tcf(c_161,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f247]) ).
tcf(c_162,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f246]) ).
tcf(c_164,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f244]) ).
tcf(c_166,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f242]) ).
tcf(c_169,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f239]) ).
tcf(c_172,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f236]) ).
tcf(c_175,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f233]) ).
tcf(c_176,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f232]) ).
tcf(c_177,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f231]) ).
tcf(c_178,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f230]) ).
tcf(c_179,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f229]) ).
tcf(c_182,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f226]) ).
tcf(c_183,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f225]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f224]) ).
tcf(c_185,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f223]) ).
tcf(c_187,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f221]) ).
tcf(c_193,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f311]) ).
tcf(c_194,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f310]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f309]) ).
tcf(c_196,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f308]) ).
tcf(c_198,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f306]) ).
tcf(c_199,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f305]) ).
tcf(c_200,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f304]) ).
tcf(c_202,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f302]) ).
tcf(c_203,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f301]) ).
tcf(c_204,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f300]) ).
tcf(c_205,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f299]) ).
tcf(c_206,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f298]) ).
tcf(c_208,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f296]) ).
tcf(c_209,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f295]) ).
tcf(c_210,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f294]) ).
tcf(c_212,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f292]) ).
tcf(c_214,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f290]) ).
tcf(c_217,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f287]) ).
tcf(c_220,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f284]) ).
tcf(c_223,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f281]) ).
tcf(c_224,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f280]) ).
tcf(c_225,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f279]) ).
tcf(c_226,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f278]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f277]) ).
tcf(c_230,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f274]) ).
tcf(c_231,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f273]) ).
tcf(c_232,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f272]) ).
tcf(c_233,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f271]) ).
tcf(c_235,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f269]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f317]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f316]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f315]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f314]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f313]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f312]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f323]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f322]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f321]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f320]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f319]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f318]) ).
tcf(c_271,plain,
( ~ sP17
| ( op1(e11,e11) != e11 ) ),
inference(cnf_transformation,[],[f626]) ).
tcf(c_274,plain,
( ( op1(e10,e12) = e10 )
| ~ sP16 ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_275,plain,
( ~ sP16
| ( op1(e10,e12) != e10 )
| ( op1(e10,e10) != e12 ) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_279,plain,
( ( op1(e10,e13) = e10 )
| ~ sP15 ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_284,plain,
( ( op1(e11,e10) = e11 )
| ~ sP14 ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_289,plain,
( ( op1(e11,e11) = e11 )
| ~ sP13 ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_291,plain,
( ~ sP13
| ( op1(e11,e11) != e11 ) ),
inference(cnf_transformation,[],[f630]) ).
tcf(c_294,plain,
( ( op1(e11,e12) = e11 )
| ~ sP12 ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_299,plain,
( ( op1(e11,e13) = e11 )
| ~ sP11 ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_304,plain,
( ( op1(e12,e10) = e12 )
| ~ sP10 ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_311,plain,
( ~ sP9
| ( op1(e11,e11) != e11 ) ),
inference(cnf_transformation,[],[f634]) ).
tcf(c_314,plain,
( ( op1(e12,e12) = e12 )
| ~ sP8 ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_317,plain,
( ~ sP8
| ( op1(e12,e12) != e12 ) ),
inference(cnf_transformation,[],[f635]) ).
tcf(c_319,plain,
( ( op1(e12,e13) = e12 )
| ~ sP7 ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_322,plain,
( ~ sP7
| ( op1(e12,e13) != e12 )
| ( op1(e12,e12) != e13 ) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_324,plain,
( ( op1(e13,e10) = e13 )
| ~ sP6 ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_325,plain,
( ~ sP6
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f637]) ).
tcf(c_331,plain,
( ~ sP5
| ( op1(e11,e11) != e11 ) ),
inference(cnf_transformation,[],[f638]) ).
tcf(c_334,plain,
( ( op1(e13,e12) = e13 )
| ~ sP4 ),
inference(cnf_transformation,[],[f409]) ).
tcf(c_339,plain,
( ( op1(e13,e13) = e13 )
| ~ sP3 ),
inference(cnf_transformation,[],[f414]) ).
tcf(c_343,plain,
( ~ sP3
| ( op1(e13,e13) != e13 ) ),
inference(cnf_transformation,[],[f640]) ).
tcf(c_344,plain,
( ( op1(e11,e11) = e11 )
| ~ sP2 ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_347,plain,
( ( op1(e13,e11) = e13 )
| ~ sP2
| ( op1(e13,e13) != e11 ) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_348,plain,
( ( op1(e12,e12) = e12 )
| ~ sP1 ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_356,plain,
( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_357,plain,
( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f641]) ).
tcf(c_358,plain,
( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| ( op1(e11,e11) != e10 )
| ( op1(e11,e10) != e11 ) ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_361,plain,
( sP0
| sP1
| sP2
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_362,plain,
( sP0
| sP1
| sP2
| ( op1(e11,e10) = e11 )
| ( op1(e11,e11) != e10 ) ),
inference(cnf_transformation,[],[f432]) ).
tcf(c_367,plain,
( ~ sP35
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f642]) ).
tcf(c_370,plain,
( ( op2(e20,e22) = e20 )
| ~ sP34 ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_375,plain,
( ( op2(e20,e23) = e20 )
| ~ sP33 ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_380,plain,
( ( op2(e21,e20) = e21 )
| ~ sP32 ),
inference(cnf_transformation,[],[f459]) ).
tcf(c_385,plain,
( ( op2(e21,e21) = e21 )
| ~ sP31 ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_387,plain,
( ~ sP31
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f646]) ).
tcf(c_390,plain,
( ( op2(e21,e22) = e21 )
| ~ sP30 ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_395,plain,
( ( op2(e21,e23) = e21 )
| ~ sP29 ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_400,plain,
( ( op2(e22,e20) = e22 )
| ~ sP28 ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_407,plain,
( ~ sP27
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f650]) ).
tcf(c_410,plain,
( ( op2(e22,e22) = e22 )
| ~ sP26 ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_413,plain,
( ~ sP26
| ( op2(e22,e22) != e22 ) ),
inference(cnf_transformation,[],[f651]) ).
tcf(c_415,plain,
( ( op2(e22,e23) = e22 )
| ~ sP25 ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_418,plain,
( ~ sP25
| ( op2(e22,e23) != e22 )
| ( op2(e22,e22) != e23 ) ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_420,plain,
( ( op2(e23,e20) = e23 )
| ~ sP24 ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_421,plain,
( ~ sP24
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f653]) ).
tcf(c_427,plain,
( ~ sP23
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f654]) ).
tcf(c_430,plain,
( ( op2(e23,e22) = e23 )
| ~ sP22 ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_435,plain,
( ( op2(e23,e23) = e23 )
| ~ sP21 ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_439,plain,
( ~ sP21
| ( op2(e23,e23) != e23 ) ),
inference(cnf_transformation,[],[f656]) ).
tcf(c_440,plain,
( ( op2(e21,e21) = e21 )
| ~ sP20 ),
inference(cnf_transformation,[],[f519]) ).
tcf(c_443,plain,
( ( op2(e23,e21) = e23 )
| ~ sP20
| ( op2(e23,e23) != e21 ) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_444,plain,
( ( op2(e22,e22) = e22 )
| ~ sP19 ),
inference(cnf_transformation,[],[f524]) ).
tcf(c_452,plain,
( sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f539]) ).
tcf(c_453,plain,
( sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f657]) ).
tcf(c_454,plain,
( sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| ( op2(e21,e21) != e20 )
| ( op2(e21,e20) != e21 ) ),
inference(cnf_transformation,[],[f537]) ).
tcf(c_457,plain,
( sP18
| sP19
| sP20
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_458,plain,
( sP18
| sP19
| sP20
| ( op2(e21,e20) = e21 )
| ( op2(e21,e21) != e20 ) ),
inference(cnf_transformation,[],[f532]) ).
tcf(c_461,plain,
op1(e12,op1(e12,e12)) = e10,
inference(cnf_transformation,[],[f542]) ).
tcf(c_462,plain,
op1(e12,op1(e12,op1(e12,e12))) = e11,
inference(cnf_transformation,[],[f541]) ).
tcf(c_463,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[],[f540]) ).
tcf(c_464,plain,
op2(e22,op2(e22,e22)) = e20,
inference(cnf_transformation,[],[f545]) ).
tcf(c_465,plain,
op2(e22,op2(e22,op2(e22,e22))) = e21,
inference(cnf_transformation,[],[f544]) ).
tcf(c_466,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[],[f543]) ).
tcf(c_470,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f546]) ).
tcf(c_472,plain,
op2(e21,op2(e21,e21)) = h2(e10),
inference(cnf_transformation,[],[f552]) ).
tcf(c_474,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f550]) ).
tcf(c_475,plain,
h3(e12) = e22,
inference(cnf_transformation,[],[f557]) ).
tcf(c_476,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f556]) ).
tcf(c_477,plain,
op2(e22,op2(e22,op2(e22,e22))) = h3(e11),
inference(cnf_transformation,[],[f555]) ).
tcf(c_478,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f554]) ).
tcf(c_479,plain,
h4(e12) = e23,
inference(cnf_transformation,[],[f561]) ).
tcf(c_480,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f560]) ).
tcf(c_481,plain,
op2(e23,op2(e23,op2(e23,e23))) = h4(e11),
inference(cnf_transformation,[],[f559]) ).
tcf(c_482,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f558]) ).
tcf(c_508,plain,
( ~ sP41
| ( h3(e11) != e21 ) ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_513,plain,
( ~ sP40
| ( h3(e12) != e22 ) ),
inference(cnf_transformation,[],[f591]) ).
tcf(c_518,plain,
( ~ sP39
| ( h3(e13) != e23 ) ),
inference(cnf_transformation,[],[f594]) ).
tcf(c_519,plain,
( ~ sP38
| ( h4(e10) != e21 ) ),
inference(cnf_transformation,[],[f601]) ).
tcf(c_526,plain,
( ~ sP37
| ( h4(e13) != e22 ) ),
inference(cnf_transformation,[],[f602]) ).
tcf(c_539,negated_conjecture,
( sP39
| sP40
| sP41
| ( h3(e10) != e20 )
| ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
| ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
| ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
| ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
| ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
| ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
| ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
| ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
| ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
| ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f617]) ).
tcf(c_544,negated_conjecture,
( sP36
| sP37
| sP38
| ( h4(e11) != e20 )
| ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) )
| ( op2(h4(e13),h4(e12)) != h4(op1(e13,e12)) )
| ( op2(h4(e13),h4(e11)) != h4(op1(e13,e11)) )
| ( op2(h4(e13),h4(e10)) != h4(op1(e13,e10)) )
| ( op2(h4(e12),h4(e13)) != h4(op1(e12,e13)) )
| ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
| ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
| ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
| ( op2(h4(e11),h4(e13)) != h4(op1(e11,e13)) )
| ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
| ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
| ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
| ( op2(h4(e10),h4(e13)) != h4(op1(e10,e13)) )
| ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
| ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
| ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f612]) ).
tcf(c_571,plain,
~ sP21,
inference(global_subsumption_just,[status(thm)],[c_435,c_435,c_439]) ).
tcf(c_573,plain,
~ sP25,
inference(global_subsumption_just,[status(thm)],[c_415,c_466,c_415,c_418]) ).
tcf(c_575,plain,
~ sP26,
inference(global_subsumption_just,[status(thm)],[c_410,c_410,c_413]) ).
tcf(c_577,plain,
~ sP31,
inference(global_subsumption_just,[status(thm)],[c_385,c_385,c_387]) ).
tcf(c_579,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_339,c_339,c_343]) ).
tcf(c_581,plain,
~ sP7,
inference(global_subsumption_just,[status(thm)],[c_319,c_463,c_319,c_322]) ).
tcf(c_583,plain,
~ sP8,
inference(global_subsumption_just,[status(thm)],[c_314,c_314,c_317]) ).
tcf(c_585,plain,
~ sP13,
inference(global_subsumption_just,[status(thm)],[c_289,c_289,c_291]) ).
tcf(c_703,plain,
( ~ sP16
| ( op1(e10,e10) != e12 ) ),
inference(global_subsumption_just,[status(thm)],[c_275,c_274,c_275]) ).
tcf(c_707,plain,
( sP32
| sP33
| sP34
| sP35
| sP30
| sP29
| sP28
| sP27
| sP24
| sP23
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_452,c_452,c_453,c_571,c_573,c_575,c_577]) ).
tcf(c_708,plain,
( sP22
| sP23
| sP24
| sP27
| sP28
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35 ),
inference(renaming,[status(thm)],[c_707]) ).
tcf(c_709,plain,
( sP14
| sP15
| sP16
| sP17
| sP12
| sP11
| sP10
| sP9
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_356,c_356,c_357,c_579,c_581,c_583,c_585]) ).
tcf(c_710,plain,
( sP4
| sP5
| sP6
| sP9
| sP10
| sP11
| sP12
| sP14
| sP15
| sP16
| sP17 ),
inference(renaming,[status(thm)],[c_709]) ).
tcf(c_731,plain,
( sP32
| sP33
| sP34
| sP35
| sP30
| sP29
| sP28
| sP27
| sP24
| sP23
| sP22 ),
inference(global_subsumption_just,[status(thm)],[c_454,c_708]) ).
tcf(c_732,plain,
( sP22
| sP23
| sP24
| sP27
| sP28
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35 ),
inference(renaming,[status(thm)],[c_731]) ).
tcf(c_737,plain,
( sP14
| sP15
| sP16
| sP17
| sP12
| sP11
| sP10
| sP9
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_358,c_710]) ).
tcf(c_738,plain,
( sP4
| sP5
| sP6
| sP9
| sP10
| sP11
| sP12
| sP14
| sP15
| sP16
| sP17 ),
inference(renaming,[status(thm)],[c_737]) ).
tcf(c_753,plain,
( sP39
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
| ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
| ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
| ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
| ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
| ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
| ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
| ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
| ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
| ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
| ( h3(e10) != e20 )
| sP41 ),
inference(global_subsumption_just,[status(thm)],[c_539,c_475,c_513,c_539]) ).
tcf(c_754,negated_conjecture,
( sP39
| sP41
| ( h3(e10) != e20 )
| ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
| ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
| ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
| ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
| ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
| ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
| ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
| ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
| ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
| ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_753]) ).
fof(f21,definition,
( ~ sP0
| ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP1
| ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP2
| ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ~ sP3
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ~ sP4
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e13,e12) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP5
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e13,e11) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP6
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e13,e10) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ~ sP7
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e12,e13) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ~ sP8
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP9
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e12,e11) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP10
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e12,e10) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP11
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e11,e13) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ~ sP12
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e11,e12) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ~ sP13
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP14
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e11,e10) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ~ sP15
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e10,e13) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ~ sP16
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ~ sP17
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f39,plain,
( ( sP0
| sP1
| sP2
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) )
& ( sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
inference(definition_folding,[],[f10,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f40,definition,
( ~ sP18
| ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ~ sP19
| ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ~ sP20
| ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ~ sP21
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ~ sP22
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e23,e22) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ~ sP23
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e23,e21) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ~ sP24
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e23,e20) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ~ sP25
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e22,e23) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ~ sP26
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ~ sP27
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e22,e21) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ~ sP28
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e22,e20) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ~ sP29
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e21,e23) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ~ sP30
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e21,e22) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ~ sP31
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ~ sP32
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e21,e20) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ~ sP33
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e20,e23) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ~ sP34
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ~ sP35
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f58,plain,
( ( sP18
| sP19
| sP20
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) )
& ( sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
inference(definition_folding,[],[f11,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40]) ).
fof(f59,definition,
( ~ sP36
| ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) ) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ~ sP37
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) ) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ~ sP38
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) ) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ~ sP39
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) ) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ~ sP40
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) ) ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ~ sP41
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) ) ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ~ sP42
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) ) ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ~ sP43
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) ) ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ~ sP44
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) ) ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ~ sP45
| ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) ) ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ~ sP46
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) ) ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ~ sP47
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) ) ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f71,plain,
( ( sP36
| sP37
| sP38
| ( 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)) )
& ( sP39
| sP40
| sP41
| ( 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)) )
& ( sP42
| sP43
| sP44
| ( 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)) )
& ( sP45
| sP46
| sP47
| ( 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(definition_folding,[],[f20,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59]) ).
fof(f89,plain,
( ~ sP0
| ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f107,plain,
( ~ sP18
| ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f119,plain,
( ~ sP36
| ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f426,plain,
( ~ sP0
| e12 = op1(e12,e13)
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f89]) ).
fof(f526,plain,
( ~ sP18
| e22 = op2(e22,e23)
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f107]) ).
fof(f607,plain,
( ~ sP36
| e23 != h4(e12) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_355,plain,
( ( op1(e12,e13) = e12 )
| ~ sP0
| ( op1(e12,e12) != e13 ) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_451,plain,
( ( op2(e22,e23) = e22 )
| ~ sP18
| ( op2(e22,e22) != e23 ) ),
inference(cnf_transformation,[],[f526]) ).
tcf(c_529,plain,
( ~ sP36
| ( h4(e12) != e23 ) ),
inference(cnf_transformation,[],[f607]) ).
tcf(c_603,plain,
( ( op2(e22,e23) = e22 )
| ~ sP18 ),
inference(global_subsumption_just,[status(thm)],[c_451,c_466,c_451]) ).
tcf(c_605,plain,
( ( op1(e12,e13) = e12 )
| ~ sP0 ),
inference(global_subsumption_just,[status(thm)],[c_355,c_463,c_355]) ).
tcf(c_743,plain,
( ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) )
| ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
| ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
| ( op2(h4(e10),h4(e13)) != h4(op1(e10,e13)) )
| ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
| ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
| ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
| ( op2(h4(e11),h4(e13)) != h4(op1(e11,e13)) )
| ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
| ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
| ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
| ( op2(h4(e12),h4(e13)) != h4(op1(e12,e13)) )
| ( op2(h4(e13),h4(e10)) != h4(op1(e13,e10)) )
| ( op2(h4(e13),h4(e11)) != h4(op1(e13,e11)) )
| ( op2(h4(e13),h4(e12)) != h4(op1(e13,e12)) )
| ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) )
| ( h4(e11) != e20 )
| sP38
| sP37 ),
inference(global_subsumption_just,[status(thm)],[c_544,c_479,c_529,c_544]) ).
tcf(c_744,negated_conjecture,
( sP37
| sP38
| ( h4(e11) != e20 )
| ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) )
| ( op2(h4(e13),h4(e12)) != h4(op1(e13,e12)) )
| ( op2(h4(e13),h4(e11)) != h4(op1(e13,e11)) )
| ( op2(h4(e13),h4(e10)) != h4(op1(e13,e10)) )
| ( op2(h4(e12),h4(e13)) != h4(op1(e12,e13)) )
| ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
| ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
| ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
| ( op2(h4(e11),h4(e13)) != h4(op1(e11,e13)) )
| ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
| ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
| ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
| ( op2(h4(e10),h4(e13)) != h4(op1(e10,e13)) )
| ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
| ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
| ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_743]) ).
tcf(c_4751,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_754,c_744,c_738,c_732,c_703,c_605,c_603,c_526,c_519,c_518,c_508,c_482,c_481,c_480,c_479,c_478,c_477,c_476,c_475,c_474,c_472,c_470,c_466,c_465,c_464,c_463,c_462,c_461,c_458,c_457,c_444,c_443,c_440,c_430,c_427,c_421,c_420,c_407,c_400,c_395,c_390,c_380,c_375,c_370,c_367,c_362,c_361,c_348,c_347,c_344,c_334,c_331,c_325,c_324,c_311,c_304,c_299,c_294,c_284,c_279,c_274,c_271,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_235,c_233,c_232,c_231,c_230,c_227,c_226,c_225,c_224,c_223,c_220,c_217,c_214,c_212,c_210,c_209,c_208,c_206,c_205,c_204,c_203,c_202,c_200,c_199,c_198,c_196,c_195,c_194,c_193,c_187,c_185,c_184,c_183,c_182,c_179,c_178,c_177,c_176,c_175,c_172,c_169,c_166,c_164,c_162,c_161,c_160,c_158,c_157,c_156,c_155,c_154,c_152,c_151,c_150,c_148,c_147,c_146,c_145,c_142,c_141,c_140,c_139,c_133,c_132,c_128,c_127,c_122,c_121,c_120,c_119,c_117,c_114,c_113,c_110,c_104,c_103,c_102,c_101,c_98,c_97,c_94,c_93,c_92,c_91,c_85,c_84,c_80,c_79,c_75,c_74,c_73,c_72,c_71,c_69,c_66,c_65,c_62,c_56,c_55,c_54,c_53,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG127+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 04:51:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 6.30/1.71 % SZS status Started for theBenchmark.p
% 6.30/1.71 % SZS status Theorem for theBenchmark.p
% 6.30/1.71
% 6.30/1.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.30/1.71
% 6.30/1.71 % ------ iProver source info
% 6.30/1.71
% 6.30/1.71 % git: date: 2026-07-19 20:42:38 +0200
% 6.30/1.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.30/1.71 % git: non_committed_changes: false
% 6.30/1.71
% 6.30/1.71 % ------ Parsing...
% 6.30/1.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.30/1.71
% 6.30/1.71 % ------ Preprocessing... sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe_e %
% 6.30/1.71
% 6.30/1.71 % ------ Preprocessing...%
% 6.30/1.71
% 6.30/1.71 % SZS status Theorem for theBenchmark.p
% 6.30/1.71
% 6.30/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.30/1.73
% 6.30/1.73
%------------------------------------------------------------------------------