%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG104+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 12:53:27 PM UTC 2026
% Result : Theorem 7.08s 1.71s
% Output : CNFRefutation 7.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f95ERROR: Could not build tree for root c_5783ERROR: 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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( op1(e13,op1(e13,e13)) != e13
& op1(e12,op1(e13,e13)) != e12
& op1(e11,op1(e13,e13)) != e11
& op1(e10,op1(e13,e13)) != e10
& op1(e13,e13) = op1(e13,e13) )
| ( op1(e13,op1(e13,e12)) != e13
& op1(e12,op1(e13,e12)) != e12
& op1(e11,op1(e13,e12)) != e11
& op1(e10,op1(e13,e12)) != e10
& op1(e12,e13) = op1(e13,e12) )
| ( op1(e13,op1(e13,e11)) != e13
& op1(e12,op1(e13,e11)) != e12
& op1(e11,op1(e13,e11)) != e11
& op1(e10,op1(e13,e11)) != e10
& op1(e11,e13) = op1(e13,e11) )
| ( op1(e13,op1(e13,e10)) != e13
& op1(e12,op1(e13,e10)) != e12
& op1(e11,op1(e13,e10)) != e11
& op1(e10,op1(e13,e10)) != e10
& op1(e10,e13) = op1(e13,e10) )
| ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) )
| ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) )
| ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) )
& ( ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(op1(e13,e12),e12) != e13
& op1(op1(e13,e12),e13) = e12
& op1(e13,op1(e13,e12)) != e12 )
| ( op1(op1(e13,e11),e11) != e13
& op1(op1(e13,e11),e13) = e11
& op1(e13,op1(e13,e11)) != e11 )
| ( op1(op1(e13,e10),e10) != e13
& op1(op1(e13,e10),e13) = e10
& op1(e13,op1(e13,e10)) != e10 )
| ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 )
| ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e23,op2(e23,e23)) != e23
& op2(e22,op2(e23,e23)) != e22
& op2(e21,op2(e23,e23)) != e21
& op2(e20,op2(e23,e23)) != e20
& op2(e23,e23) = op2(e23,e23) )
| ( op2(e23,op2(e23,e22)) != e23
& op2(e22,op2(e23,e22)) != e22
& op2(e21,op2(e23,e22)) != e21
& op2(e20,op2(e23,e22)) != e20
& op2(e22,e23) = op2(e23,e22) )
| ( op2(e23,op2(e23,e21)) != e23
& op2(e22,op2(e23,e21)) != e22
& op2(e21,op2(e23,e21)) != e21
& op2(e20,op2(e23,e21)) != e20
& op2(e21,e23) = op2(e23,e21) )
| ( op2(e23,op2(e23,e20)) != e23
& op2(e22,op2(e23,e20)) != e22
& op2(e21,op2(e23,e20)) != e21
& op2(e20,op2(e23,e20)) != e20
& op2(e20,e23) = op2(e23,e20) )
| ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) )
| ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) )
| ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) )
& ( ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(op2(e23,e22),e22) != e23
& op2(op2(e23,e22),e23) = e22
& op2(e23,op2(e23,e22)) != e22 )
| ( op2(op2(e23,e21),e21) != e23
& op2(op2(e23,e21),e23) = e21
& op2(e23,op2(e23,e21)) != e21 )
| ( op2(op2(e23,e20),e20) != e23
& op2(op2(e23,e20),e23) = e20
& op2(e23,op2(e23,e20)) != e20 )
| ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 )
| ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(e10,op1(e10,op1(e10,e10)))
& e12 = op1(e10,e10)
& e11 = op1(e10,op1(e10,e10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e20,op2(e20,op2(e20,e20)))
& e22 = op2(e20,e20)
& e21 = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = op2(e20,op2(e20,op2(e20,e20)))
& h1(e12) = op2(e20,e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e10) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e13) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e12) = op2(e21,e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e10) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e13) = op2(e22,op2(e22,op2(e22,e22)))
& h3(e12) = op2(e22,e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e10) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e12) = op2(e23,e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e10) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f96,plain,
( ~ sP29
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f97,plain,
( ~ sP28
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f98,plain,
( ~ sP27
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f99,plain,
( ~ sP26
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f100,plain,
( ~ sP25
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f101,plain,
( ~ sP24
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f102,plain,
( ~ sP23
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f103,plain,
( ~ sP22
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f104,plain,
( ~ sP21
| ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f105,plain,
( ~ sP20
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f106,plain,
( ~ sP19
| ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f107,plain,
( ~ sP18
| ( op1(op1(e13,e10),e10) != e13
& op1(op1(e13,e10),e13) = e10
& op1(e13,op1(e13,e10)) != e10 ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f108,plain,
( ~ sP17
| ( op1(op1(e13,e11),e11) != e13
& op1(op1(e13,e11),e13) = e11
& op1(e13,op1(e13,e11)) != e11 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f109,plain,
( ~ sP16
| ( op1(op1(e13,e12),e12) != e13
& op1(op1(e13,e12),e13) = e12
& op1(e13,op1(e13,e12)) != e12 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f110,plain,
( ~ sP15
| ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,op1(e13,e13)) != e13 ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f111,plain,
( ~ sP14
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f112,plain,
( ~ sP13
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f113,plain,
( ~ sP12
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f114,plain,
( ~ sP11
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f115,plain,
( ~ sP10
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f116,plain,
( ~ sP9
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f117,plain,
( ~ sP8
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f118,plain,
( ~ sP7
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f119,plain,
( ~ sP6
| ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f120,plain,
( ~ sP5
| ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f121,plain,
( ~ sP4
| ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f122,plain,
( ~ sP3
| ( op1(e13,op1(e13,e10)) != e13
& op1(e12,op1(e13,e10)) != e12
& op1(e11,op1(e13,e10)) != e11
& op1(e10,op1(e13,e10)) != e10
& op1(e10,e13) = op1(e13,e10) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f123,plain,
( ~ sP2
| ( op1(e13,op1(e13,e11)) != e13
& op1(e12,op1(e13,e11)) != e12
& op1(e11,op1(e13,e11)) != e11
& op1(e10,op1(e13,e11)) != e10
& op1(e11,e13) = op1(e13,e11) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f124,plain,
( ~ sP1
| ( op1(e13,op1(e13,e12)) != e13
& op1(e12,op1(e13,e12)) != e12
& op1(e11,op1(e13,e12)) != e11
& op1(e10,op1(e13,e12)) != e10
& op1(e12,e13) = op1(e13,e12) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f126,plain,
( ~ sP59
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f127,plain,
( ~ sP58
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f128,plain,
( ~ sP57
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f129,plain,
( ~ sP56
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f130,plain,
( ~ sP55
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f131,plain,
( ~ sP54
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f132,plain,
( ~ sP53
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f133,plain,
( ~ sP52
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f134,plain,
( ~ sP51
| ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f135,plain,
( ~ sP50
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f136,plain,
( ~ sP49
| ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f137,plain,
( ~ sP48
| ( op2(op2(e23,e20),e20) != e23
& op2(op2(e23,e20),e23) = e20
& op2(e23,op2(e23,e20)) != e20 ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f138,plain,
( ~ sP47
| ( op2(op2(e23,e21),e21) != e23
& op2(op2(e23,e21),e23) = e21
& op2(e23,op2(e23,e21)) != e21 ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f139,plain,
( ~ sP46
| ( op2(op2(e23,e22),e22) != e23
& op2(op2(e23,e22),e23) = e22
& op2(e23,op2(e23,e22)) != e22 ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f140,plain,
( ~ sP45
| ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,op2(e23,e23)) != e23 ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f141,plain,
( ~ sP44
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f142,plain,
( ~ sP43
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f143,plain,
( ~ sP42
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f144,plain,
( ~ sP41
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f145,plain,
( ~ sP40
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f146,plain,
( ~ sP39
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f147,plain,
( ~ sP38
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f148,plain,
( ~ sP37
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f149,plain,
( ~ sP36
| ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f150,plain,
( ~ sP35
| ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f151,plain,
( ~ sP34
| ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f152,plain,
( ~ sP33
| ( op2(e23,op2(e23,e20)) != e23
& op2(e22,op2(e23,e20)) != e22
& op2(e21,op2(e23,e20)) != e21
& op2(e20,op2(e23,e20)) != e20
& op2(e20,e23) = op2(e23,e20) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f153,plain,
( ~ sP32
| ( op2(e23,op2(e23,e21)) != e23
& op2(e22,op2(e23,e21)) != e22
& op2(e21,op2(e23,e21)) != e21
& op2(e20,op2(e23,e21)) != e20
& op2(e21,e23) = op2(e23,e21) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f154,plain,
( ~ sP31
| ( op2(e23,op2(e23,e22)) != e23
& op2(e22,op2(e23,e22)) != e22
& op2(e21,op2(e23,e22)) != e21
& op2(e20,op2(e23,e22)) != e20
& op2(e22,e23) = op2(e23,e22) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f156,plain,
( ~ sP71
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f157,plain,
( ~ sP70
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f158,plain,
( ~ sP69
| ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f168,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f169,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f170,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f171,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f172,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f173,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f175,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f176,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f177,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f178,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f179,plain,
( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f184,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f192,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f194,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f195,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f197,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f198,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f199,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f201,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f202,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f203,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f204,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f205,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f206,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f207,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f208,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f212,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f214,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f215,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f217,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f218,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f219,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f220,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f221,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f222,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f223,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f224,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f225,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f226,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f227,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f232,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f233,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f234,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f235,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f236,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f237,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f239,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f240,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f241,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f243,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f246,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f247,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f249,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f250,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f251,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f252,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f253,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f254,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f255,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f256,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f260,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f262,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f263,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f264,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f265,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f266,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f267,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f268,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f269,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f270,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f271,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f272,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f273,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f274,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f275,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f276,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f277,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f278,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f279,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f280,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f281,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f282,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f283,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f284,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f285,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f286,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f287,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f288,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f289,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f290,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f291,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f292,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f293,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f294,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f295,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f296,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f297,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f298,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f299,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f300,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f301,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f302,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f303,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f304,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f305,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f306,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f307,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f308,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f309,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f310,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f311,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f312,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f313,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f314,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f315,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f316,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f317,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f318,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f319,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f320,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f321,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f322,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f323,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f324,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f325,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f326,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f327,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f328,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f329,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f330,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f331,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f332,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f333,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f335,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f336,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f337,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f338,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f339,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f340,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f341,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f342,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f343,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f344,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f345,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f346,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f347,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f348,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f349,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f350,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f351,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f352,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f353,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f354,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f355,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f356,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f357,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f358,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f359,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f360,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f361,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f362,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f363,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f364,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f365,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f366,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f367,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f368,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f369,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f370,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f371,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f388,plain,
( ~ sP29
| e10 != op1(op1(e10,e11),e11) ),
inference(cnf_transformation,[],[f96]) ).
fof(f389,plain,
( ~ sP29
| e11 = op1(op1(e10,e11),e10) ),
inference(cnf_transformation,[],[f96]) ).
fof(f392,plain,
( ~ sP28
| e12 = op1(op1(e10,e12),e10) ),
inference(cnf_transformation,[],[f97]) ).
fof(f394,plain,
( ~ sP27
| e10 != op1(op1(e10,e13),e13) ),
inference(cnf_transformation,[],[f98]) ).
fof(f397,plain,
( ~ sP26
| e11 != op1(op1(e11,e10),e10) ),
inference(cnf_transformation,[],[f99]) ).
fof(f398,plain,
( ~ sP26
| e10 = op1(op1(e11,e10),e11) ),
inference(cnf_transformation,[],[f99]) ).
fof(f399,plain,
( ~ sP26
| e10 != op1(e11,op1(e11,e10)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f400,plain,
( ~ sP25
| e11 != op1(op1(e11,e11),e11) ),
inference(cnf_transformation,[],[f100]) ).
fof(f401,plain,
( ~ sP25
| e11 = op1(op1(e11,e11),e11) ),
inference(cnf_transformation,[],[f100]) ).
fof(f403,plain,
( ~ sP24
| e11 != op1(op1(e11,e12),e12) ),
inference(cnf_transformation,[],[f101]) ).
fof(f404,plain,
( ~ sP24
| e12 = op1(op1(e11,e12),e11) ),
inference(cnf_transformation,[],[f101]) ).
fof(f405,plain,
( ~ sP24
| e12 != op1(e11,op1(e11,e12)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f406,plain,
( ~ sP23
| e11 != op1(op1(e11,e13),e13) ),
inference(cnf_transformation,[],[f102]) ).
fof(f407,plain,
( ~ sP23
| e13 = op1(op1(e11,e13),e11) ),
inference(cnf_transformation,[],[f102]) ).
fof(f408,plain,
( ~ sP23
| e13 != op1(e11,op1(e11,e13)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f410,plain,
( ~ sP22
| e10 = op1(op1(e12,e10),e12) ),
inference(cnf_transformation,[],[f103]) ).
fof(f411,plain,
( ~ sP22
| e10 != op1(e12,op1(e12,e10)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f412,plain,
( ~ sP21
| e12 != op1(op1(e12,e11),e11) ),
inference(cnf_transformation,[],[f104]) ).
fof(f414,plain,
( ~ sP21
| e11 != op1(e12,op1(e12,e11)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f415,plain,
( ~ sP20
| e12 != op1(op1(e12,e12),e12) ),
inference(cnf_transformation,[],[f105]) ).
fof(f416,plain,
( ~ sP20
| e12 = op1(op1(e12,e12),e12) ),
inference(cnf_transformation,[],[f105]) ).
fof(f418,plain,
( ~ sP19
| e12 != op1(op1(e12,e13),e13) ),
inference(cnf_transformation,[],[f106]) ).
fof(f419,plain,
( ~ sP19
| e13 = op1(op1(e12,e13),e12) ),
inference(cnf_transformation,[],[f106]) ).
fof(f420,plain,
( ~ sP19
| e13 != op1(e12,op1(e12,e13)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f421,plain,
( ~ sP18
| e13 != op1(op1(e13,e10),e10) ),
inference(cnf_transformation,[],[f107]) ).
fof(f423,plain,
( ~ sP18
| e10 != op1(e13,op1(e13,e10)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f424,plain,
( ~ sP17
| e13 != op1(op1(e13,e11),e11) ),
inference(cnf_transformation,[],[f108]) ).
fof(f425,plain,
( ~ sP17
| e11 = op1(op1(e13,e11),e13) ),
inference(cnf_transformation,[],[f108]) ).
fof(f426,plain,
( ~ sP17
| e11 != op1(e13,op1(e13,e11)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f427,plain,
( ~ sP16
| e13 != op1(op1(e13,e12),e12) ),
inference(cnf_transformation,[],[f109]) ).
fof(f428,plain,
( ~ sP16
| e12 = op1(op1(e13,e12),e13) ),
inference(cnf_transformation,[],[f109]) ).
fof(f429,plain,
( ~ sP16
| e12 != op1(e13,op1(e13,e12)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f430,plain,
( ~ sP15
| e13 != op1(op1(e13,e13),e13) ),
inference(cnf_transformation,[],[f110]) ).
fof(f431,plain,
( ~ sP15
| e13 = op1(op1(e13,e13),e13) ),
inference(cnf_transformation,[],[f110]) ).
fof(f436,plain,
( ~ sP14
| e10 != op1(e10,op1(e10,e11)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f440,plain,
( ~ sP13
| e11 != op1(e11,op1(e10,e12)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f442,plain,
( ~ sP13
| op1(e10,e12) = op1(e12,e10) ),
inference(cnf_transformation,[],[f112]) ).
fof(f445,plain,
( ~ sP12
| e11 != op1(e11,op1(e10,e13)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f447,plain,
( ~ sP12
| op1(e10,e13) = op1(e13,e10) ),
inference(cnf_transformation,[],[f113]) ).
fof(f449,plain,
( ~ sP11
| e12 != op1(e12,op1(e11,e10)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f452,plain,
( ~ sP11
| op1(e10,e11) = op1(e11,e10) ),
inference(cnf_transformation,[],[f114]) ).
fof(f453,plain,
( ~ sP10
| e13 != op1(e13,op1(e11,e11)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f455,plain,
( ~ sP10
| e11 != op1(e11,op1(e11,e11)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f458,plain,
( ~ sP9
| e13 != op1(e13,op1(e11,e12)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f460,plain,
( ~ sP9
| e11 != op1(e11,op1(e11,e12)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f462,plain,
( ~ sP9
| op1(e11,e12) = op1(e12,e11) ),
inference(cnf_transformation,[],[f116]) ).
fof(f464,plain,
( ~ sP8
| e12 != op1(e12,op1(e11,e13)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f467,plain,
( ~ sP8
| op1(e11,e13) = op1(e13,e11) ),
inference(cnf_transformation,[],[f117]) ).
fof(f470,plain,
( ~ sP7
| e11 != op1(e11,op1(e12,e10)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f471,plain,
( ~ sP7
| e10 != op1(e10,op1(e12,e10)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f472,plain,
( ~ sP7
| op1(e10,e12) = op1(e12,e10) ),
inference(cnf_transformation,[],[f118]) ).
fof(f473,plain,
( ~ sP6
| e13 != op1(e13,op1(e12,e11)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f475,plain,
( ~ sP6
| e11 != op1(e11,op1(e12,e11)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f477,plain,
( ~ sP6
| op1(e11,e12) = op1(e12,e11) ),
inference(cnf_transformation,[],[f119]) ).
fof(f478,plain,
( ~ sP5
| e13 != op1(e13,op1(e12,e12)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f479,plain,
( ~ sP5
| e12 != op1(e12,op1(e12,e12)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f480,plain,
( ~ sP5
| e11 != op1(e11,op1(e12,e12)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f487,plain,
( ~ sP4
| op1(e12,e13) = op1(e13,e12) ),
inference(cnf_transformation,[],[f121]) ).
fof(f490,plain,
( ~ sP3
| e11 != op1(e11,op1(e13,e10)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f492,plain,
( ~ sP3
| op1(e10,e13) = op1(e13,e10) ),
inference(cnf_transformation,[],[f122]) ).
fof(f494,plain,
( ~ sP2
| e12 != op1(e12,op1(e13,e11)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f497,plain,
( ~ sP2
| op1(e11,e13) = op1(e13,e11) ),
inference(cnf_transformation,[],[f123]) ).
fof(f501,plain,
( ~ sP1
| e10 != op1(e10,op1(e13,e12)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f502,plain,
( ~ sP1
| op1(e12,e13) = op1(e13,e12) ),
inference(cnf_transformation,[],[f124]) ).
fof(f508,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| e13 != op1(e13,op1(e10,e10)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f509,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| e12 != op1(e12,op1(e10,e10)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f513,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| e10 != op1(op1(e10,e10),e10) ),
inference(cnf_transformation,[],[f51]) ).
fof(f514,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| e10 = op1(op1(e10,e10),e10) ),
inference(cnf_transformation,[],[f51]) ).
fof(f515,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| e10 != op1(e10,op1(e10,e10)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f516,plain,
( ~ sP59
| e20 != op2(op2(e20,e21),e21) ),
inference(cnf_transformation,[],[f126]) ).
fof(f517,plain,
( ~ sP59
| e21 = op2(op2(e20,e21),e20) ),
inference(cnf_transformation,[],[f126]) ).
fof(f520,plain,
( ~ sP58
| e22 = op2(op2(e20,e22),e20) ),
inference(cnf_transformation,[],[f127]) ).
fof(f522,plain,
( ~ sP57
| e20 != op2(op2(e20,e23),e23) ),
inference(cnf_transformation,[],[f128]) ).
fof(f525,plain,
( ~ sP56
| e21 != op2(op2(e21,e20),e20) ),
inference(cnf_transformation,[],[f129]) ).
fof(f526,plain,
( ~ sP56
| e20 = op2(op2(e21,e20),e21) ),
inference(cnf_transformation,[],[f129]) ).
fof(f527,plain,
( ~ sP56
| e20 != op2(e21,op2(e21,e20)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f528,plain,
( ~ sP55
| e21 != op2(op2(e21,e21),e21) ),
inference(cnf_transformation,[],[f130]) ).
fof(f529,plain,
( ~ sP55
| e21 = op2(op2(e21,e21),e21) ),
inference(cnf_transformation,[],[f130]) ).
fof(f531,plain,
( ~ sP54
| e21 != op2(op2(e21,e22),e22) ),
inference(cnf_transformation,[],[f131]) ).
fof(f532,plain,
( ~ sP54
| e22 = op2(op2(e21,e22),e21) ),
inference(cnf_transformation,[],[f131]) ).
fof(f533,plain,
( ~ sP54
| e22 != op2(e21,op2(e21,e22)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f534,plain,
( ~ sP53
| e21 != op2(op2(e21,e23),e23) ),
inference(cnf_transformation,[],[f132]) ).
fof(f535,plain,
( ~ sP53
| e23 = op2(op2(e21,e23),e21) ),
inference(cnf_transformation,[],[f132]) ).
fof(f536,plain,
( ~ sP53
| e23 != op2(e21,op2(e21,e23)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f538,plain,
( ~ sP52
| e20 = op2(op2(e22,e20),e22) ),
inference(cnf_transformation,[],[f133]) ).
fof(f539,plain,
( ~ sP52
| e20 != op2(e22,op2(e22,e20)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f540,plain,
( ~ sP51
| e22 != op2(op2(e22,e21),e21) ),
inference(cnf_transformation,[],[f134]) ).
fof(f541,plain,
( ~ sP51
| e21 = op2(op2(e22,e21),e22) ),
inference(cnf_transformation,[],[f134]) ).
fof(f542,plain,
( ~ sP51
| e21 != op2(e22,op2(e22,e21)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f543,plain,
( ~ sP50
| e22 != op2(op2(e22,e22),e22) ),
inference(cnf_transformation,[],[f135]) ).
fof(f544,plain,
( ~ sP50
| e22 = op2(op2(e22,e22),e22) ),
inference(cnf_transformation,[],[f135]) ).
fof(f546,plain,
( ~ sP49
| e22 != op2(op2(e22,e23),e23) ),
inference(cnf_transformation,[],[f136]) ).
fof(f547,plain,
( ~ sP49
| e23 = op2(op2(e22,e23),e22) ),
inference(cnf_transformation,[],[f136]) ).
fof(f548,plain,
( ~ sP49
| e23 != op2(e22,op2(e22,e23)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f549,plain,
( ~ sP48
| e23 != op2(op2(e23,e20),e20) ),
inference(cnf_transformation,[],[f137]) ).
fof(f551,plain,
( ~ sP48
| e20 != op2(e23,op2(e23,e20)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f552,plain,
( ~ sP47
| e23 != op2(op2(e23,e21),e21) ),
inference(cnf_transformation,[],[f138]) ).
fof(f553,plain,
( ~ sP47
| e21 = op2(op2(e23,e21),e23) ),
inference(cnf_transformation,[],[f138]) ).
fof(f554,plain,
( ~ sP47
| e21 != op2(e23,op2(e23,e21)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f555,plain,
( ~ sP46
| e23 != op2(op2(e23,e22),e22) ),
inference(cnf_transformation,[],[f139]) ).
fof(f556,plain,
( ~ sP46
| e22 = op2(op2(e23,e22),e23) ),
inference(cnf_transformation,[],[f139]) ).
fof(f557,plain,
( ~ sP46
| e22 != op2(e23,op2(e23,e22)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f558,plain,
( ~ sP45
| e23 != op2(op2(e23,e23),e23) ),
inference(cnf_transformation,[],[f140]) ).
fof(f559,plain,
( ~ sP45
| e23 = op2(op2(e23,e23),e23) ),
inference(cnf_transformation,[],[f140]) ).
fof(f564,plain,
( ~ sP44
| e20 != op2(e20,op2(e20,e21)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f568,plain,
( ~ sP43
| e21 != op2(e21,op2(e20,e22)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f570,plain,
( ~ sP43
| op2(e20,e22) = op2(e22,e20) ),
inference(cnf_transformation,[],[f142]) ).
fof(f573,plain,
( ~ sP42
| e21 != op2(e21,op2(e20,e23)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f575,plain,
( ~ sP42
| op2(e20,e23) = op2(e23,e20) ),
inference(cnf_transformation,[],[f143]) ).
fof(f579,plain,
( ~ sP41
| e20 != op2(e20,op2(e21,e20)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f580,plain,
( ~ sP41
| op2(e20,e21) = op2(e21,e20) ),
inference(cnf_transformation,[],[f144]) ).
fof(f581,plain,
( ~ sP40
| e23 != op2(e23,op2(e21,e21)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f583,plain,
( ~ sP40
| e21 != op2(e21,op2(e21,e21)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f588,plain,
( ~ sP39
| e21 != op2(e21,op2(e21,e22)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f590,plain,
( ~ sP39
| op2(e21,e22) = op2(e22,e21) ),
inference(cnf_transformation,[],[f146]) ).
fof(f592,plain,
( ~ sP38
| e22 != op2(e22,op2(e21,e23)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f595,plain,
( ~ sP38
| op2(e21,e23) = op2(e23,e21) ),
inference(cnf_transformation,[],[f147]) ).
fof(f598,plain,
( ~ sP37
| e21 != op2(e21,op2(e22,e20)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f600,plain,
( ~ sP37
| op2(e20,e22) = op2(e22,e20) ),
inference(cnf_transformation,[],[f148]) ).
fof(f603,plain,
( ~ sP36
| e21 != op2(e21,op2(e22,e21)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f605,plain,
( ~ sP36
| op2(e21,e22) = op2(e22,e21) ),
inference(cnf_transformation,[],[f149]) ).
fof(f607,plain,
( ~ sP35
| e22 != op2(e22,op2(e22,e22)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f614,plain,
( ~ sP34
| e20 != op2(e20,op2(e22,e23)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f615,plain,
( ~ sP34
| op2(e22,e23) = op2(e23,e22) ),
inference(cnf_transformation,[],[f151]) ).
fof(f618,plain,
( ~ sP33
| e21 != op2(e21,op2(e23,e20)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f620,plain,
( ~ sP33
| op2(e20,e23) = op2(e23,e20) ),
inference(cnf_transformation,[],[f152]) ).
fof(f622,plain,
( ~ sP32
| e22 != op2(e22,op2(e23,e21)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f625,plain,
( ~ sP32
| op2(e21,e23) = op2(e23,e21) ),
inference(cnf_transformation,[],[f153]) ).
fof(f629,plain,
( ~ sP31
| e20 != op2(e20,op2(e23,e22)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f630,plain,
( ~ sP31
| op2(e22,e23) = op2(e23,e22) ),
inference(cnf_transformation,[],[f154]) ).
fof(f637,plain,
( sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| e22 != op2(e22,op2(e20,e20)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f641,plain,
( sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| e20 != op2(op2(e20,e20),e20) ),
inference(cnf_transformation,[],[f82]) ).
fof(f642,plain,
( sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| e20 = op2(op2(e20,e20),e20) ),
inference(cnf_transformation,[],[f82]) ).
fof(f643,plain,
( sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| e20 != op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f644,plain,
e13 = op1(e10,op1(e10,op1(e10,e10))),
inference(cnf_transformation,[],[f12]) ).
fof(f645,plain,
op1(e10,e10) = e12,
inference(cnf_transformation,[],[f12]) ).
fof(f646,plain,
e11 = op1(e10,op1(e10,e10)),
inference(cnf_transformation,[],[f12]) ).
fof(f647,plain,
e23 = op2(e20,op2(e20,op2(e20,e20))),
inference(cnf_transformation,[],[f13]) ).
fof(f648,plain,
op2(e20,e20) = e22,
inference(cnf_transformation,[],[f13]) ).
fof(f649,plain,
e21 = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[],[f13]) ).
fof(f650,plain,
op2(e20,op2(e20,op2(e20,e20))) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f651,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f652,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f653,plain,
e20 = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f654,plain,
h2(e13) = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[],[f15]) ).
fof(f655,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f656,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f657,plain,
e21 = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f658,plain,
h3(e13) = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[],[f16]) ).
fof(f659,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f660,plain,
op2(e22,op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f661,plain,
e22 = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f662,plain,
h4(e13) = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[],[f17]) ).
fof(f663,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f664,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f665,plain,
e23 = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f668,plain,
( ~ sP71
| e21 != h1(e11) ),
inference(cnf_transformation,[],[f156]) ).
fof(f671,plain,
( ~ sP70
| e22 != h1(e12) ),
inference(cnf_transformation,[],[f157]) ).
fof(f674,plain,
( ~ sP69
| e23 != h1(e13) ),
inference(cnf_transformation,[],[f158]) ).
fof(f726,plain,
( sP69
| sP70
| sP71
| e20 != h1(e13)
| 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(cnf_transformation,[],[f95]) ).
fof(f729,plain,
( sP69
| sP70
| sP71
| 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(cnf_transformation,[],[f95]) ).
tcf(c_53,plain,
( ( op1(e11,e10) = e13 )
| ( op1(e11,e10) = e12 )
| ( op1(e11,e10) = e11 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_54,plain,
( ( op1(e11,e11) = e13 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e11) = e10 ) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_55,plain,
( ( op1(e11,e12) = e13 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e12) = e10 ) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_56,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e13) = e12 )
| ( op1(e11,e13) = e11 )
| ( op1(e11,e13) = e10 ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_57,plain,
( ( op1(e12,e10) = e13 )
| ( op1(e12,e10) = e12 )
| ( op1(e12,e10) = e11 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_58,plain,
( ( op1(e12,e11) = e13 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e11) = e10 ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_59,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e12) = e10 ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_60,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_61,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e10) = e12 )
| ( op1(e13,e10) = e11 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_62,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e11) = e10 ) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_63,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e12) = e10 ) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_64,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12 )
| ( op1(e13,e13) = e11 )
| ( op1(e13,e13) = e10 ) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_65,plain,
( ( op1(e10,e13) = e10 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_66,plain,
( ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_68,plain,
( ( op1(e13,e10) = e11 )
| ( op1(e12,e10) = e11 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_72,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e12,e10) = e13 )
| ( op1(e11,e10) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_73,plain,
( ( op1(e11,e13) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_74,plain,
( ( op1(e13,e11) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_75,plain,
( ( op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_76,plain,
( ( op1(e13,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_77,plain,
( ( op1(e11,e13) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e10) = e12 ) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_78,plain,
( ( op1(e13,e11) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_79,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e11,e10) = e13 ) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_81,plain,
( ( op1(e12,e13) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_82,plain,
( ( op1(e13,e12) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_83,plain,
( ( op1(e12,e13) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_85,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e10) = e12 ) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_86,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_87,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_88,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_89,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e13,e12) = e10 )
| ( op1(e13,e11) = e10 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_91,plain,
( ( op1(e13,e13) = e11 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e10) = e11 ) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_92,plain,
( ( op1(e13,e13) = e11 )
| ( op1(e12,e13) = e11 )
| ( op1(e11,e13) = e11 )
| ( op1(e10,e13) = e11 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_93,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_94,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e12 )
| ( op1(e10,e13) = e12 ) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_95,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_96,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_101,plain,
( ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_102,plain,
( ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_103,plain,
( ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e20 ) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_104,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e20 ) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_105,plain,
( ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e20 ) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_106,plain,
( ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e21) = e20 ) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_107,plain,
( ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e20 ) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_108,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e20 ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_109,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_110,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e20 ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_111,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e20 ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_112,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e20 ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_113,plain,
( ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_114,plain,
( ( op2(e23,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e21,e20) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_116,plain,
( ( op2(e23,e20) = e21 )
| ( op2(e22,e20) = e21 )
| ( op2(e21,e20) = e21 )
| ( op2(e20,e20) = e21 ) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_120,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e22,e20) = e23 )
| ( op2(e21,e20) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_121,plain,
( ( op2(e21,e23) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_122,plain,
( ( op2(e23,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_123,plain,
( ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_124,plain,
( ( op2(e23,e21) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e20,e21) = e21 ) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_125,plain,
( ( op2(e21,e23) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e20) = e22 ) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_126,plain,
( ( op2(e23,e21) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_127,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e20) = e23 ) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_129,plain,
( ( op2(e22,e23) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_130,plain,
( ( op2(e23,e22) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e20,e22) = e20 ) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_131,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_133,plain,
( ( op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e20) = e22 ) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_135,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_136,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_137,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_139,plain,
( ( op2(e23,e23) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e20) = e21 ) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_140,plain,
( ( op2(e23,e23) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e20,e23) = e21 ) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_141,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_142,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e20,e23) = e22 ) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_143,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_144,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_145,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f311]) ).
tcf(c_146,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f310]) ).
tcf(c_147,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f309]) ).
tcf(c_148,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f308]) ).
tcf(c_149,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f307]) ).
tcf(c_150,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f306]) ).
tcf(c_151,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f305]) ).
tcf(c_152,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f304]) ).
tcf(c_153,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f303]) ).
tcf(c_154,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f302]) ).
tcf(c_155,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f301]) ).
tcf(c_156,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f300]) ).
tcf(c_157,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f299]) ).
tcf(c_158,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f298]) ).
tcf(c_159,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f297]) ).
tcf(c_160,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f296]) ).
tcf(c_161,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f295]) ).
tcf(c_162,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f294]) ).
tcf(c_163,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f293]) ).
tcf(c_164,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f292]) ).
tcf(c_165,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f291]) ).
tcf(c_166,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f290]) ).
tcf(c_167,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f289]) ).
tcf(c_168,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f288]) ).
tcf(c_169,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f287]) ).
tcf(c_170,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f286]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f285]) ).
tcf(c_172,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f284]) ).
tcf(c_173,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f283]) ).
tcf(c_174,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f282]) ).
tcf(c_175,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f281]) ).
tcf(c_176,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f280]) ).
tcf(c_177,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f279]) ).
tcf(c_178,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f278]) ).
tcf(c_179,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f277]) ).
tcf(c_180,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f276]) ).
tcf(c_181,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f275]) ).
tcf(c_182,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f274]) ).
tcf(c_183,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f273]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f272]) ).
tcf(c_185,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f271]) ).
tcf(c_186,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f270]) ).
tcf(c_187,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f269]) ).
tcf(c_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f268]) ).
tcf(c_189,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f267]) ).
tcf(c_190,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f266]) ).
tcf(c_191,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f265]) ).
tcf(c_192,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f264]) ).
tcf(c_193,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f359]) ).
tcf(c_194,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f358]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f357]) ).
tcf(c_196,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f356]) ).
tcf(c_197,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f355]) ).
tcf(c_198,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f354]) ).
tcf(c_199,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f353]) ).
tcf(c_200,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f352]) ).
tcf(c_201,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f351]) ).
tcf(c_202,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f350]) ).
tcf(c_203,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f349]) ).
tcf(c_204,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f348]) ).
tcf(c_205,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f347]) ).
tcf(c_206,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f346]) ).
tcf(c_207,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f345]) ).
tcf(c_208,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f344]) ).
tcf(c_209,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f343]) ).
tcf(c_210,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f342]) ).
tcf(c_211,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f341]) ).
tcf(c_212,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f340]) ).
tcf(c_213,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f339]) ).
tcf(c_214,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f338]) ).
tcf(c_215,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f337]) ).
tcf(c_216,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f336]) ).
tcf(c_217,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f335]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f333]) ).
tcf(c_220,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f332]) ).
tcf(c_221,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f331]) ).
tcf(c_222,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f330]) ).
tcf(c_223,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f329]) ).
tcf(c_224,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f328]) ).
tcf(c_225,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f327]) ).
tcf(c_226,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f326]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f325]) ).
tcf(c_228,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f324]) ).
tcf(c_229,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f323]) ).
tcf(c_230,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f322]) ).
tcf(c_231,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f321]) ).
tcf(c_232,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f320]) ).
tcf(c_233,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f319]) ).
tcf(c_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f318]) ).
tcf(c_235,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f317]) ).
tcf(c_236,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f316]) ).
tcf(c_237,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f315]) ).
tcf(c_238,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f314]) ).
tcf(c_239,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f313]) ).
tcf(c_240,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f312]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f365]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f364]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f363]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f362]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f361]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f360]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f371]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f370]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f369]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f368]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f367]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f366]) ).
tcf(c_270,plain,
( ( op1(op1(e10,e11),e10) = e11 )
| ~ sP29 ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_271,plain,
( ~ sP29
| ( op1(op1(e10,e11),e11) != e10 ) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_273,plain,
( ( op1(op1(e10,e12),e10) = e12 )
| ~ sP28 ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_277,plain,
( ~ sP27
| ( op1(op1(e10,e13),e13) != e10 ) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_278,plain,
( ~ sP26
| ( op1(e11,op1(e11,e10)) != e10 ) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_279,plain,
( ( op1(op1(e11,e10),e11) = e10 )
| ~ sP26 ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_280,plain,
( ~ sP26
| ( op1(op1(e11,e10),e10) != e11 ) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_282,plain,
( ( op1(op1(e11,e11),e11) = e11 )
| ~ sP25 ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_283,plain,
( ~ sP25
| ( op1(op1(e11,e11),e11) != e11 ) ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_284,plain,
( ~ sP24
| ( op1(e11,op1(e11,e12)) != e12 ) ),
inference(cnf_transformation,[],[f405]) ).
tcf(c_285,plain,
( ( op1(op1(e11,e12),e11) = e12 )
| ~ sP24 ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_286,plain,
( ~ sP24
| ( op1(op1(e11,e12),e12) != e11 ) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_287,plain,
( ~ sP23
| ( op1(e11,op1(e11,e13)) != e13 ) ),
inference(cnf_transformation,[],[f408]) ).
tcf(c_288,plain,
( ( op1(op1(e11,e13),e11) = e13 )
| ~ sP23 ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_289,plain,
( ~ sP23
| ( op1(op1(e11,e13),e13) != e11 ) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_290,plain,
( ~ sP22
| ( op1(e12,op1(e12,e10)) != e10 ) ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_291,plain,
( ( op1(op1(e12,e10),e12) = e10 )
| ~ sP22 ),
inference(cnf_transformation,[],[f410]) ).
tcf(c_293,plain,
( ~ sP21
| ( op1(e12,op1(e12,e11)) != e11 ) ),
inference(cnf_transformation,[],[f414]) ).
tcf(c_295,plain,
( ~ sP21
| ( op1(op1(e12,e11),e11) != e12 ) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_297,plain,
( ( op1(op1(e12,e12),e12) = e12 )
| ~ sP20 ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_298,plain,
( ~ sP20
| ( op1(op1(e12,e12),e12) != e12 ) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_299,plain,
( ~ sP19
| ( op1(e12,op1(e12,e13)) != e13 ) ),
inference(cnf_transformation,[],[f420]) ).
tcf(c_300,plain,
( ( op1(op1(e12,e13),e12) = e13 )
| ~ sP19 ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_301,plain,
( ~ sP19
| ( op1(op1(e12,e13),e13) != e12 ) ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_302,plain,
( ~ sP18
| ( op1(e13,op1(e13,e10)) != e10 ) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_304,plain,
( ~ sP18
| ( op1(op1(e13,e10),e10) != e13 ) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_305,plain,
( ~ sP17
| ( op1(e13,op1(e13,e11)) != e11 ) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_306,plain,
( ( op1(op1(e13,e11),e13) = e11 )
| ~ sP17 ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_307,plain,
( ~ sP17
| ( op1(op1(e13,e11),e11) != e13 ) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_308,plain,
( ~ sP16
| ( op1(e13,op1(e13,e12)) != e12 ) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_309,plain,
( ( op1(op1(e13,e12),e13) = e12 )
| ~ sP16 ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_310,plain,
( ~ sP16
| ( op1(op1(e13,e12),e12) != e13 ) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_312,plain,
( ( op1(op1(e13,e13),e13) = e13 )
| ~ sP15 ),
inference(cnf_transformation,[],[f431]) ).
tcf(c_313,plain,
( ~ sP15
| ( op1(op1(e13,e13),e13) != e13 ) ),
inference(cnf_transformation,[],[f430]) ).
tcf(c_315,plain,
( ~ sP14
| ( op1(e10,op1(e10,e11)) != e10 ) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_319,plain,
( ( op1(e10,e12) = op1(e12,e10) )
| ~ sP13 ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_321,plain,
( ~ sP13
| ( op1(e11,op1(e10,e12)) != e11 ) ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_324,plain,
( ( op1(e10,e13) = op1(e13,e10) )
| ~ sP12 ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_326,plain,
( ~ sP12
| ( op1(e11,op1(e10,e13)) != e11 ) ),
inference(cnf_transformation,[],[f445]) ).
tcf(c_329,plain,
( ( op1(e10,e11) = op1(e11,e10) )
| ~ sP11 ),
inference(cnf_transformation,[],[f452]) ).
tcf(c_332,plain,
( ~ sP11
| ( op1(e12,op1(e11,e10)) != e12 ) ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_335,plain,
( ~ sP10
| ( op1(e11,op1(e11,e11)) != e11 ) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_337,plain,
( ~ sP10
| ( op1(e13,op1(e11,e11)) != e13 ) ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_338,plain,
( ( op1(e11,e12) = op1(e12,e11) )
| ~ sP9 ),
inference(cnf_transformation,[],[f462]) ).
tcf(c_340,plain,
( ~ sP9
| ( op1(e11,op1(e11,e12)) != e11 ) ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_342,plain,
( ~ sP9
| ( op1(e13,op1(e11,e12)) != e13 ) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_343,plain,
( ( op1(e11,e13) = op1(e13,e11) )
| ~ sP8 ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_346,plain,
( ~ sP8
| ( op1(e12,op1(e11,e13)) != e12 ) ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_348,plain,
( ( op1(e10,e12) = op1(e12,e10) )
| ~ sP7 ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_349,plain,
( ~ sP7
| ( op1(e10,op1(e12,e10)) != e10 ) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_350,plain,
( ~ sP7
| ( op1(e11,op1(e12,e10)) != e11 ) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_353,plain,
( ( op1(e11,e12) = op1(e12,e11) )
| ~ sP6 ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_355,plain,
( ~ sP6
| ( op1(e11,op1(e12,e11)) != e11 ) ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_357,plain,
( ~ sP6
| ( op1(e13,op1(e12,e11)) != e13 ) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_359,plain,
( ~ sP5
| ( op1(e11,op1(e12,e12)) != e11 ) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_360,plain,
( ~ sP5
| ( op1(e12,op1(e12,e12)) != e12 ) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_361,plain,
( ~ sP5
| ( op1(e13,op1(e12,e12)) != e13 ) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_362,plain,
( ( op1(e12,e13) = op1(e13,e12) )
| ~ sP4 ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_367,plain,
( ( op1(e10,e13) = op1(e13,e10) )
| ~ sP3 ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_369,plain,
( ~ sP3
| ( op1(e11,op1(e13,e10)) != e11 ) ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_372,plain,
( ( op1(e11,e13) = op1(e13,e11) )
| ~ sP2 ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_375,plain,
( ~ sP2
| ( op1(e12,op1(e13,e11)) != e12 ) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_377,plain,
( ( op1(e12,e13) = op1(e13,e12) )
| ~ sP1 ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_378,plain,
( ~ sP1
| ( op1(e10,op1(e13,e12)) != e10 ) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_386,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op1(e10,op1(e10,e10)) != e10 ) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_387,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op1(op1(e10,e10),e10) = e10 ) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_388,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op1(op1(e10,e10),e10) != e10 ) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_391,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e12,op1(e10,e10)) != e12 ) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_392,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e13,op1(e10,e10)) != e13 ) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_394,plain,
( ( op2(op2(e20,e21),e20) = e21 )
| ~ sP59 ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_395,plain,
( ~ sP59
| ( op2(op2(e20,e21),e21) != e20 ) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_397,plain,
( ( op2(op2(e20,e22),e20) = e22 )
| ~ sP58 ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_401,plain,
( ~ sP57
| ( op2(op2(e20,e23),e23) != e20 ) ),
inference(cnf_transformation,[],[f522]) ).
tcf(c_402,plain,
( ~ sP56
| ( op2(e21,op2(e21,e20)) != e20 ) ),
inference(cnf_transformation,[],[f527]) ).
tcf(c_403,plain,
( ( op2(op2(e21,e20),e21) = e20 )
| ~ sP56 ),
inference(cnf_transformation,[],[f526]) ).
tcf(c_404,plain,
( ~ sP56
| ( op2(op2(e21,e20),e20) != e21 ) ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_406,plain,
( ( op2(op2(e21,e21),e21) = e21 )
| ~ sP55 ),
inference(cnf_transformation,[],[f529]) ).
tcf(c_407,plain,
( ~ sP55
| ( op2(op2(e21,e21),e21) != e21 ) ),
inference(cnf_transformation,[],[f528]) ).
tcf(c_408,plain,
( ~ sP54
| ( op2(e21,op2(e21,e22)) != e22 ) ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_409,plain,
( ( op2(op2(e21,e22),e21) = e22 )
| ~ sP54 ),
inference(cnf_transformation,[],[f532]) ).
tcf(c_410,plain,
( ~ sP54
| ( op2(op2(e21,e22),e22) != e21 ) ),
inference(cnf_transformation,[],[f531]) ).
tcf(c_411,plain,
( ~ sP53
| ( op2(e21,op2(e21,e23)) != e23 ) ),
inference(cnf_transformation,[],[f536]) ).
tcf(c_412,plain,
( ( op2(op2(e21,e23),e21) = e23 )
| ~ sP53 ),
inference(cnf_transformation,[],[f535]) ).
tcf(c_413,plain,
( ~ sP53
| ( op2(op2(e21,e23),e23) != e21 ) ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_414,plain,
( ~ sP52
| ( op2(e22,op2(e22,e20)) != e20 ) ),
inference(cnf_transformation,[],[f539]) ).
tcf(c_415,plain,
( ( op2(op2(e22,e20),e22) = e20 )
| ~ sP52 ),
inference(cnf_transformation,[],[f538]) ).
tcf(c_417,plain,
( ~ sP51
| ( op2(e22,op2(e22,e21)) != e21 ) ),
inference(cnf_transformation,[],[f542]) ).
tcf(c_418,plain,
( ( op2(op2(e22,e21),e22) = e21 )
| ~ sP51 ),
inference(cnf_transformation,[],[f541]) ).
tcf(c_419,plain,
( ~ sP51
| ( op2(op2(e22,e21),e21) != e22 ) ),
inference(cnf_transformation,[],[f540]) ).
tcf(c_421,plain,
( ( op2(op2(e22,e22),e22) = e22 )
| ~ sP50 ),
inference(cnf_transformation,[],[f544]) ).
tcf(c_422,plain,
( ~ sP50
| ( op2(op2(e22,e22),e22) != e22 ) ),
inference(cnf_transformation,[],[f543]) ).
tcf(c_423,plain,
( ~ sP49
| ( op2(e22,op2(e22,e23)) != e23 ) ),
inference(cnf_transformation,[],[f548]) ).
tcf(c_424,plain,
( ( op2(op2(e22,e23),e22) = e23 )
| ~ sP49 ),
inference(cnf_transformation,[],[f547]) ).
tcf(c_425,plain,
( ~ sP49
| ( op2(op2(e22,e23),e23) != e22 ) ),
inference(cnf_transformation,[],[f546]) ).
tcf(c_426,plain,
( ~ sP48
| ( op2(e23,op2(e23,e20)) != e20 ) ),
inference(cnf_transformation,[],[f551]) ).
tcf(c_428,plain,
( ~ sP48
| ( op2(op2(e23,e20),e20) != e23 ) ),
inference(cnf_transformation,[],[f549]) ).
tcf(c_429,plain,
( ~ sP47
| ( op2(e23,op2(e23,e21)) != e21 ) ),
inference(cnf_transformation,[],[f554]) ).
tcf(c_430,plain,
( ( op2(op2(e23,e21),e23) = e21 )
| ~ sP47 ),
inference(cnf_transformation,[],[f553]) ).
tcf(c_431,plain,
( ~ sP47
| ( op2(op2(e23,e21),e21) != e23 ) ),
inference(cnf_transformation,[],[f552]) ).
tcf(c_432,plain,
( ~ sP46
| ( op2(e23,op2(e23,e22)) != e22 ) ),
inference(cnf_transformation,[],[f557]) ).
tcf(c_433,plain,
( ( op2(op2(e23,e22),e23) = e22 )
| ~ sP46 ),
inference(cnf_transformation,[],[f556]) ).
tcf(c_434,plain,
( ~ sP46
| ( op2(op2(e23,e22),e22) != e23 ) ),
inference(cnf_transformation,[],[f555]) ).
tcf(c_436,plain,
( ( op2(op2(e23,e23),e23) = e23 )
| ~ sP45 ),
inference(cnf_transformation,[],[f559]) ).
tcf(c_437,plain,
( ~ sP45
| ( op2(op2(e23,e23),e23) != e23 ) ),
inference(cnf_transformation,[],[f558]) ).
tcf(c_439,plain,
( ~ sP44
| ( op2(e20,op2(e20,e21)) != e20 ) ),
inference(cnf_transformation,[],[f564]) ).
tcf(c_443,plain,
( ( op2(e20,e22) = op2(e22,e20) )
| ~ sP43 ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_445,plain,
( ~ sP43
| ( op2(e21,op2(e20,e22)) != e21 ) ),
inference(cnf_transformation,[],[f568]) ).
tcf(c_448,plain,
( ( op2(e20,e23) = op2(e23,e20) )
| ~ sP42 ),
inference(cnf_transformation,[],[f575]) ).
tcf(c_450,plain,
( ~ sP42
| ( op2(e21,op2(e20,e23)) != e21 ) ),
inference(cnf_transformation,[],[f573]) ).
tcf(c_453,plain,
( ( op2(e20,e21) = op2(e21,e20) )
| ~ sP41 ),
inference(cnf_transformation,[],[f580]) ).
tcf(c_454,plain,
( ~ sP41
| ( op2(e20,op2(e21,e20)) != e20 ) ),
inference(cnf_transformation,[],[f579]) ).
tcf(c_459,plain,
( ~ sP40
| ( op2(e21,op2(e21,e21)) != e21 ) ),
inference(cnf_transformation,[],[f583]) ).
tcf(c_461,plain,
( ~ sP40
| ( op2(e23,op2(e21,e21)) != e23 ) ),
inference(cnf_transformation,[],[f581]) ).
tcf(c_462,plain,
( ( op2(e21,e22) = op2(e22,e21) )
| ~ sP39 ),
inference(cnf_transformation,[],[f590]) ).
tcf(c_464,plain,
( ~ sP39
| ( op2(e21,op2(e21,e22)) != e21 ) ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_467,plain,
( ( op2(e21,e23) = op2(e23,e21) )
| ~ sP38 ),
inference(cnf_transformation,[],[f595]) ).
tcf(c_470,plain,
( ~ sP38
| ( op2(e22,op2(e21,e23)) != e22 ) ),
inference(cnf_transformation,[],[f592]) ).
tcf(c_472,plain,
( ( op2(e20,e22) = op2(e22,e20) )
| ~ sP37 ),
inference(cnf_transformation,[],[f600]) ).
tcf(c_474,plain,
( ~ sP37
| ( op2(e21,op2(e22,e20)) != e21 ) ),
inference(cnf_transformation,[],[f598]) ).
tcf(c_477,plain,
( ( op2(e21,e22) = op2(e22,e21) )
| ~ sP36 ),
inference(cnf_transformation,[],[f605]) ).
tcf(c_479,plain,
( ~ sP36
| ( op2(e21,op2(e22,e21)) != e21 ) ),
inference(cnf_transformation,[],[f603]) ).
tcf(c_484,plain,
( ~ sP35
| ( op2(e22,op2(e22,e22)) != e22 ) ),
inference(cnf_transformation,[],[f607]) ).
tcf(c_486,plain,
( ( op2(e22,e23) = op2(e23,e22) )
| ~ sP34 ),
inference(cnf_transformation,[],[f615]) ).
tcf(c_487,plain,
( ~ sP34
| ( op2(e20,op2(e22,e23)) != e20 ) ),
inference(cnf_transformation,[],[f614]) ).
tcf(c_491,plain,
( ( op2(e20,e23) = op2(e23,e20) )
| ~ sP33 ),
inference(cnf_transformation,[],[f620]) ).
tcf(c_493,plain,
( ~ sP33
| ( op2(e21,op2(e23,e20)) != e21 ) ),
inference(cnf_transformation,[],[f618]) ).
tcf(c_496,plain,
( ( op2(e21,e23) = op2(e23,e21) )
| ~ sP32 ),
inference(cnf_transformation,[],[f625]) ).
tcf(c_499,plain,
( ~ sP32
| ( op2(e22,op2(e23,e21)) != e22 ) ),
inference(cnf_transformation,[],[f622]) ).
tcf(c_501,plain,
( ( op2(e22,e23) = op2(e23,e22) )
| ~ sP31 ),
inference(cnf_transformation,[],[f630]) ).
tcf(c_502,plain,
( ~ sP31
| ( op2(e20,op2(e23,e22)) != e20 ) ),
inference(cnf_transformation,[],[f629]) ).
tcf(c_510,plain,
( sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| ( op2(e20,op2(e20,e20)) != e20 ) ),
inference(cnf_transformation,[],[f643]) ).
tcf(c_511,plain,
( sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| ( op2(op2(e20,e20),e20) = e20 ) ),
inference(cnf_transformation,[],[f642]) ).
tcf(c_512,plain,
( sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| ( op2(op2(e20,e20),e20) != e20 ) ),
inference(cnf_transformation,[],[f641]) ).
tcf(c_515,plain,
( sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| ( op2(e22,op2(e20,e20)) != e22 ) ),
inference(cnf_transformation,[],[f637]) ).
tcf(c_517,plain,
op1(e10,op1(e10,e10)) = e11,
inference(cnf_transformation,[],[f646]) ).
tcf(c_518,plain,
op1(e10,e10) = e12,
inference(cnf_transformation,[],[f645]) ).
tcf(c_519,plain,
op1(e10,op1(e10,op1(e10,e10))) = e13,
inference(cnf_transformation,[],[f644]) ).
tcf(c_520,plain,
op2(e20,op2(e20,e20)) = e21,
inference(cnf_transformation,[],[f649]) ).
tcf(c_521,plain,
op2(e20,e20) = e22,
inference(cnf_transformation,[],[f648]) ).
tcf(c_522,plain,
op2(e20,op2(e20,op2(e20,e20))) = e23,
inference(cnf_transformation,[],[f647]) ).
tcf(c_523,plain,
h1(e10) = e20,
inference(cnf_transformation,[],[f653]) ).
tcf(c_524,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f652]) ).
tcf(c_525,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f651]) ).
tcf(c_526,plain,
op2(e20,op2(e20,op2(e20,e20))) = h1(e13),
inference(cnf_transformation,[],[f650]) ).
tcf(c_527,plain,
h2(e10) = e21,
inference(cnf_transformation,[],[f657]) ).
tcf(c_528,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(cnf_transformation,[],[f656]) ).
tcf(c_529,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f655]) ).
tcf(c_530,plain,
op2(e21,op2(e21,op2(e21,e21))) = h2(e13),
inference(cnf_transformation,[],[f654]) ).
tcf(c_531,plain,
h3(e10) = e22,
inference(cnf_transformation,[],[f661]) ).
tcf(c_532,plain,
op2(e22,op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f660]) ).
tcf(c_533,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f659]) ).
tcf(c_534,plain,
op2(e22,op2(e22,op2(e22,e22))) = h3(e13),
inference(cnf_transformation,[],[f658]) ).
tcf(c_535,plain,
h4(e10) = e23,
inference(cnf_transformation,[],[f665]) ).
tcf(c_536,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(cnf_transformation,[],[f664]) ).
tcf(c_537,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f663]) ).
tcf(c_538,plain,
op2(e23,op2(e23,op2(e23,e23))) = h4(e13),
inference(cnf_transformation,[],[f662]) ).
tcf(c_540,plain,
( ~ sP71
| ( h1(e11) != e21 ) ),
inference(cnf_transformation,[],[f668]) ).
tcf(c_545,plain,
( ~ sP70
| ( h1(e12) != e22 ) ),
inference(cnf_transformation,[],[f671]) ).
tcf(c_550,plain,
( ~ sP69
| ( h1(e13) != e23 ) ),
inference(cnf_transformation,[],[f674]) ).
tcf(c_587,negated_conjecture,
( sP69
| sP70
| sP71
| ( h1(e10) != e20 )
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f729]) ).
tcf(c_590,negated_conjecture,
( sP69
| sP70
| sP71
| ( h1(e13) != e20 )
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f726]) ).
tcf(c_627,plain,
~ sP45,
inference(global_subsumption_just,[status(thm)],[c_436,c_436,c_437]) ).
tcf(c_629,plain,
~ sP50,
inference(global_subsumption_just,[status(thm)],[c_421,c_421,c_422]) ).
tcf(c_631,plain,
~ sP55,
inference(global_subsumption_just,[status(thm)],[c_406,c_406,c_407]) ).
tcf(c_633,plain,
~ sP15,
inference(global_subsumption_just,[status(thm)],[c_312,c_312,c_313]) ).
tcf(c_635,plain,
~ sP20,
inference(global_subsumption_just,[status(thm)],[c_297,c_297,c_298]) ).
tcf(c_637,plain,
~ sP25,
inference(global_subsumption_just,[status(thm)],[c_282,c_282,c_283]) ).
tcf(c_663,plain,
( sP51
| sP52
| sP53
| sP54
| sP59
| sP58
| sP57
| sP56
| sP49
| sP48
| sP47
| sP46 ),
inference(global_subsumption_just,[status(thm)],[c_511,c_511,c_512,c_627,c_629,c_631]) ).
tcf(c_664,plain,
( sP46
| sP47
| sP48
| sP49
| sP51
| sP52
| sP53
| sP54
| sP56
| sP57
| sP58
| sP59 ),
inference(renaming,[status(thm)],[c_663]) ).
tcf(c_665,plain,
( sP21
| sP22
| sP23
| sP24
| sP29
| sP28
| sP27
| sP26
| sP19
| sP18
| sP17
| sP16 ),
inference(global_subsumption_just,[status(thm)],[c_387,c_387,c_388,c_633,c_635,c_637]) ).
tcf(c_666,plain,
( sP16
| sP17
| sP18
| sP19
| sP21
| sP22
| sP23
| sP24
| sP26
| sP27
| sP28
| sP29 ),
inference(renaming,[status(thm)],[c_665]) ).
tcf(c_669,plain,
( sP51
| sP52
| sP53
| sP54
| sP59
| sP58
| sP57
| sP56
| sP49
| sP48
| sP47
| sP46 ),
inference(global_subsumption_just,[status(thm)],[c_510,c_664]) ).
tcf(c_670,plain,
( sP46
| sP47
| sP48
| sP49
| sP51
| sP52
| sP53
| sP54
| sP56
| sP57
| sP58
| sP59 ),
inference(renaming,[status(thm)],[c_669]) ).
tcf(c_673,plain,
( sP21
| sP22
| sP23
| sP24
| sP29
| sP28
| sP27
| sP26
| sP19
| sP18
| sP17
| sP16 ),
inference(global_subsumption_just,[status(thm)],[c_386,c_666]) ).
tcf(c_674,plain,
( sP16
| sP17
| sP18
| sP19
| sP21
| sP22
| sP23
| sP24
| sP26
| sP27
| sP28
| sP29 ),
inference(renaming,[status(thm)],[c_673]) ).
tcf(c_711,plain,
( sP69
| sP70
| sP71
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) ) ),
inference(global_subsumption_just,[status(thm)],[c_590,c_523,c_587]) ).
tcf(c_712,negated_conjecture,
( sP69
| sP70
| sP71
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_711]) ).
tcf(c_717,plain,
( sP69
| sP70
| sP71
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) ) ),
inference(global_subsumption_just,[status(thm)],[c_587,c_712]) ).
tcf(c_718,negated_conjecture,
( sP69
| sP70
| sP71
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_717]) ).
fof(f21,definition,
( ~ sP0
| ( op1(e13,op1(e13,e13)) != e13
& op1(e12,op1(e13,e13)) != e12
& op1(e11,op1(e13,e13)) != e11
& op1(e10,op1(e13,e13)) != e10
& op1(e13,e13) = op1(e13,e13) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP1
| ( op1(e13,op1(e13,e12)) != e13
& op1(e12,op1(e13,e12)) != e12
& op1(e11,op1(e13,e12)) != e11
& op1(e10,op1(e13,e12)) != e10
& op1(e12,e13) = op1(e13,e12) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP2
| ( op1(e13,op1(e13,e11)) != e13
& op1(e12,op1(e13,e11)) != e12
& op1(e11,op1(e13,e11)) != e11
& op1(e10,op1(e13,e11)) != e10
& op1(e11,e13) = op1(e13,e11) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ~ sP3
| ( op1(e13,op1(e13,e10)) != e13
& op1(e12,op1(e13,e10)) != e12
& op1(e11,op1(e13,e10)) != e11
& op1(e10,op1(e13,e10)) != e10
& op1(e10,e13) = op1(e13,e10) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ~ sP4
| ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP5
| ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP6
| ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ~ sP7
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ~ sP8
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP9
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP10
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP11
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ~ sP12
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ~ sP13
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP14
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ~ sP15
| ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,op1(e13,e13)) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ~ sP16
| ( op1(op1(e13,e12),e12) != e13
& op1(op1(e13,e12),e13) = e12
& op1(e13,op1(e13,e12)) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ~ sP17
| ( op1(op1(e13,e11),e11) != e13
& op1(op1(e13,e11),e13) = e11
& op1(e13,op1(e13,e11)) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ~ sP18
| ( op1(op1(e13,e10),e10) != e13
& op1(op1(e13,e10),e13) = e10
& op1(e13,op1(e13,e10)) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ~ sP19
| ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ~ sP20
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ~ sP21
| ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ~ sP22
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ~ sP23
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ~ sP24
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ~ sP25
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ~ sP26
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ~ sP27
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ~ sP28
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ~ sP29
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f51,plain,
( ( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) )
& ( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
inference(definition_folding,[],[f10,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f52,definition,
( ~ sP30
| ( op2(e23,op2(e23,e23)) != e23
& op2(e22,op2(e23,e23)) != e22
& op2(e21,op2(e23,e23)) != e21
& op2(e20,op2(e23,e23)) != e20
& op2(e23,e23) = op2(e23,e23) ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ~ sP31
| ( op2(e23,op2(e23,e22)) != e23
& op2(e22,op2(e23,e22)) != e22
& op2(e21,op2(e23,e22)) != e21
& op2(e20,op2(e23,e22)) != e20
& op2(e22,e23) = op2(e23,e22) ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ~ sP32
| ( op2(e23,op2(e23,e21)) != e23
& op2(e22,op2(e23,e21)) != e22
& op2(e21,op2(e23,e21)) != e21
& op2(e20,op2(e23,e21)) != e20
& op2(e21,e23) = op2(e23,e21) ) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ~ sP33
| ( op2(e23,op2(e23,e20)) != e23
& op2(e22,op2(e23,e20)) != e22
& op2(e21,op2(e23,e20)) != e21
& op2(e20,op2(e23,e20)) != e20
& op2(e20,e23) = op2(e23,e20) ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ~ sP34
| ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) ) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ~ sP35
| ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) ) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ~ sP36
| ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) ) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ~ sP37
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) ) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ~ sP38
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) ) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ~ sP39
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) ) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ~ sP40
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) ) ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ~ sP41
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) ) ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ~ sP42
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) ) ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ~ sP43
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) ) ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ~ sP44
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) ) ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ~ sP45
| ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,op2(e23,e23)) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ~ sP46
| ( op2(op2(e23,e22),e22) != e23
& op2(op2(e23,e22),e23) = e22
& op2(e23,op2(e23,e22)) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ~ sP47
| ( op2(op2(e23,e21),e21) != e23
& op2(op2(e23,e21),e23) = e21
& op2(e23,op2(e23,e21)) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ~ sP48
| ( op2(op2(e23,e20),e20) != e23
& op2(op2(e23,e20),e23) = e20
& op2(e23,op2(e23,e20)) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ~ sP49
| ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ~ sP50
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ~ sP51
| ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ~ sP52
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f75,definition,
( ~ sP53
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f76,definition,
( ~ sP54
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f77,definition,
( ~ sP55
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f78,definition,
( ~ sP56
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f79,definition,
( ~ sP57
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f80,definition,
( ~ sP58
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f81,definition,
( ~ sP59
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f82,plain,
( ( sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| sP42
| sP43
| sP44
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) )
& ( sP45
| sP46
| sP47
| sP48
| sP49
| sP50
| sP51
| sP52
| sP53
| sP54
| sP55
| sP56
| sP57
| sP58
| sP59
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
inference(definition_folding,[],[f11,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52]) ).
fof(f125,plain,
( ~ sP0
| ( op1(e13,op1(e13,e13)) != e13
& op1(e12,op1(e13,e13)) != e12
& op1(e11,op1(e13,e13)) != e11
& op1(e10,op1(e13,e13)) != e10
& op1(e13,e13) = op1(e13,e13) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f155,plain,
( ~ sP30
| ( op2(e23,op2(e23,e23)) != e23
& op2(e22,op2(e23,e23)) != e22
& op2(e21,op2(e23,e23)) != e21
& op2(e20,op2(e23,e23)) != e20
& op2(e23,e23) = op2(e23,e23) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f503,plain,
( ~ sP0
| e13 != op1(e13,op1(e13,e13)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f505,plain,
( ~ sP0
| e11 != op1(e11,op1(e13,e13)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f631,plain,
( ~ sP30
| e23 != op2(e23,op2(e23,e23)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f633,plain,
( ~ sP30
| e21 != op2(e21,op2(e23,e23)) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_383,plain,
( ~ sP0
| ( op1(e11,op1(e13,e13)) != e11 ) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_385,plain,
( ~ sP0
| ( op1(e13,op1(e13,e13)) != e13 ) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_507,plain,
( ~ sP30
| ( op2(e21,op2(e23,e23)) != e21 ) ),
inference(cnf_transformation,[],[f633]) ).
tcf(c_509,plain,
( ~ sP30
| ( op2(e23,op2(e23,e23)) != e23 ) ),
inference(cnf_transformation,[],[f631]) ).
tcf(c_5783,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_718,c_674,c_670,c_550,c_545,c_540,c_538,c_537,c_536,c_535,c_534,c_533,c_532,c_531,c_530,c_529,c_528,c_527,c_526,c_525,c_524,c_523,c_522,c_521,c_520,c_519,c_518,c_517,c_515,c_509,c_507,c_502,c_501,c_499,c_496,c_493,c_491,c_487,c_486,c_484,c_479,c_477,c_474,c_472,c_470,c_467,c_464,c_462,c_461,c_459,c_454,c_453,c_450,c_448,c_445,c_443,c_439,c_434,c_433,c_432,c_431,c_430,c_429,c_428,c_426,c_425,c_424,c_423,c_419,c_418,c_417,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_404,c_403,c_402,c_401,c_397,c_395,c_394,c_392,c_391,c_385,c_383,c_378,c_377,c_375,c_372,c_369,c_367,c_362,c_361,c_360,c_359,c_357,c_355,c_353,c_350,c_349,c_348,c_346,c_343,c_342,c_340,c_338,c_337,c_335,c_332,c_329,c_326,c_324,c_321,c_319,c_315,c_310,c_309,c_308,c_307,c_306,c_305,c_304,c_302,c_301,c_300,c_299,c_295,c_293,c_291,c_290,c_289,c_288,c_287,c_286,c_285,c_284,c_280,c_279,c_278,c_277,c_273,c_271,c_270,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_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_137,c_136,c_135,c_133,c_131,c_130,c_129,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_116,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_96,c_95,c_94,c_93,c_92,c_91,c_89,c_88,c_87,c_86,c_85,c_83,c_82,c_81,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_68,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG104+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 04:46:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 7.08/1.71 % SZS status Started for theBenchmark.p
% 7.08/1.71 % SZS status Theorem for theBenchmark.p
% 7.08/1.71
% 7.08/1.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.08/1.71
% 7.08/1.71 % ------ iProver source info
% 7.08/1.71
% 7.08/1.71 % git: date: 2026-07-19 20:42:38 +0200
% 7.08/1.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.08/1.71 % git: non_committed_changes: false
% 7.08/1.71
% 7.08/1.71 % ------ Parsing...
% 7.08/1.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.08/1.71
% 7.08/1.71 % ------ Preprocessing... sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe_e %
% 7.08/1.71
% 7.08/1.71 % ------ Preprocessing...%
% 7.08/1.71
% 7.08/1.71 % SZS status Theorem for theBenchmark.p
% 7.08/1.71
% 7.08/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.08/1.73
% 7.08/1.73
%------------------------------------------------------------------------------