%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG122+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 : n007.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 12:53:30 PM UTC 2026
% Result : Theorem 6.57s 1.70s
% Output : CNFRefutation 6.57s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f65ERROR: Could not build tree for root c_6467ERROR: 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,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) )
& ( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) )
& ( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) )
& ( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) )
& ( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) )
& ( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) )
& ( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) )
& ( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) )
& ( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,op1(e13,e13))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,op2(e23,e23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(e20,op2(e20,op2(e20,e20)))
& h1(e13) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e13) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(e22,op2(e22,op2(e22,e22)))
& h3(e13) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e12) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e13) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f66,plain,
( ~ sP14
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f67,plain,
( ~ sP13
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f68,plain,
( ~ sP12
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f69,plain,
( ~ sP11
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f70,plain,
( ~ sP10
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f71,plain,
( ~ sP9
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f72,plain,
( ~ sP8
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f73,plain,
( ~ sP7
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f74,plain,
( ~ sP6
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f75,plain,
( ~ sP5
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f76,plain,
( ~ sP4
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f77,plain,
( ~ sP3
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f78,plain,
( ~ sP2
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f79,plain,
( ~ sP1
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f81,plain,
( ~ sP29
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f82,plain,
( ~ sP28
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f83,plain,
( ~ sP27
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f84,plain,
( ~ sP26
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f85,plain,
( ~ sP25
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f86,plain,
( ~ sP24
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f87,plain,
( ~ sP23
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f88,plain,
( ~ sP22
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f89,plain,
( ~ sP21
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f90,plain,
( ~ sP20
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f91,plain,
( ~ sP19
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f92,plain,
( ~ sP18
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f93,plain,
( ~ sP17
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e23) != e21
& op2(e23,e21) = e23 ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f94,plain,
( ~ sP16
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f102,plain,
( ~ sP35
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f103,plain,
( ~ sP34
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f104,plain,
( ~ sP33
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f112,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f113,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f115,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f116,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f117,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f118,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f120,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f121,plain,
( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f122,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f124,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f144,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f149,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f151,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f153,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f154,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f164,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f166,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f168,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f171,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f172,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f173,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f197,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f205,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f209,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f210,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f211,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f212,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f213,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f215,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f216,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f217,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f218,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f222,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f228,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f229,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f230,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f231,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f232,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f233,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f234,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f235,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f236,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f237,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f238,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f239,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f240,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f241,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f243,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f245,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f254,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f257,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f261,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f262,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f264,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f265,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f267,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f270,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f271,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f274,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f275,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f277,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f279,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f280,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f284,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f285,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f288,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f289,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f291,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f293,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f297,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f300,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f301,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f302,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f303,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f304,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f305,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f306,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f307,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f308,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f309,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f310,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f311,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f329,plain,
( ~ sP14
| e12 != op1(e11,e12) ),
inference(cnf_transformation,[],[f66]) ).
fof(f330,plain,
( ~ sP14
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f66]) ).
fof(f332,plain,
( ~ sP14
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f66]) ).
fof(f333,plain,
( ~ sP14
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f66]) ).
fof(f339,plain,
( ~ sP13
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f67]) ).
fof(f345,plain,
( ~ sP12
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f68]) ).
fof(f346,plain,
( ~ sP11
| e13 != op1(e10,e13) ),
inference(cnf_transformation,[],[f69]) ).
fof(f347,plain,
( ~ sP11
| e12 != op1(e10,e12) ),
inference(cnf_transformation,[],[f69]) ).
fof(f348,plain,
( ~ sP11
| e11 != op1(e10,e11) ),
inference(cnf_transformation,[],[f69]) ).
fof(f349,plain,
( ~ sP11
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f69]) ).
fof(f350,plain,
( ~ sP11
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f69]) ).
fof(f351,plain,
( ~ sP11
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f69]) ).
fof(f354,plain,
( ~ sP10
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f70]) ).
fof(f357,plain,
( ~ sP10
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f70]) ).
fof(f359,plain,
( ~ sP9
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f71]) ).
fof(f360,plain,
( ~ sP9
| e11 != op1(e12,e11) ),
inference(cnf_transformation,[],[f71]) ).
fof(f363,plain,
( ~ sP9
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f71]) ).
fof(f369,plain,
( ~ sP8
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f72]) ).
fof(f370,plain,
( ~ sP7
| e13 != op1(e10,e13) ),
inference(cnf_transformation,[],[f73]) ).
fof(f371,plain,
( ~ sP7
| e12 != op1(e10,e12) ),
inference(cnf_transformation,[],[f73]) ).
fof(f372,plain,
( ~ sP7
| e11 != op1(e10,e11) ),
inference(cnf_transformation,[],[f73]) ).
fof(f373,plain,
( ~ sP7
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f73]) ).
fof(f375,plain,
( ~ sP7
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f73]) ).
fof(f381,plain,
( ~ sP6
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f74]) ).
fof(f383,plain,
( ~ sP5
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f75]) ).
fof(f387,plain,
( ~ sP5
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f75]) ).
fof(f392,plain,
( ~ sP4
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f76]) ).
fof(f393,plain,
( ~ sP4
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f76]) ).
fof(f394,plain,
( ~ sP3
| e13 != op1(e10,e13) ),
inference(cnf_transformation,[],[f77]) ).
fof(f395,plain,
( ~ sP3
| e12 != op1(e10,e12) ),
inference(cnf_transformation,[],[f77]) ).
fof(f396,plain,
( ~ sP3
| e11 != op1(e10,e11) ),
inference(cnf_transformation,[],[f77]) ).
fof(f397,plain,
( ~ sP3
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f77]) ).
fof(f404,plain,
( ~ sP2
| e11 != op1(e13,e13) ),
inference(cnf_transformation,[],[f78]) ).
fof(f411,plain,
( ~ sP1
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f79]) ).
fof(f421,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f36]) ).
fof(f422,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f36]) ).
fof(f423,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f36]) ).
fof(f424,plain,
( op1(e13,e13) = op1(op1(e13,e13),e13)
| op1(e12,e13) = op1(op1(e12,e13),e12)
| op1(e11,e13) = op1(op1(e11,e13),e11)
| op1(e10,e13) = op1(op1(e10,e13),e10) ),
inference(cnf_transformation,[],[f36]) ).
fof(f425,plain,
( op1(e13,e12) = op1(op1(e13,e12),e13)
| op1(e12,e12) = op1(op1(e12,e12),e12)
| op1(e11,e12) = op1(op1(e11,e12),e11)
| op1(e10,e12) = op1(op1(e10,e12),e10) ),
inference(cnf_transformation,[],[f36]) ).
fof(f427,plain,
( op1(e13,e10) = op1(op1(e13,e10),e13)
| op1(e12,e10) = op1(op1(e12,e10),e12)
| op1(e11,e10) = op1(op1(e11,e10),e11)
| op1(e10,e10) = op1(op1(e10,e10),e10) ),
inference(cnf_transformation,[],[f36]) ).
fof(f428,plain,
( ~ sP29
| e23 != op2(e21,e23) ),
inference(cnf_transformation,[],[f81]) ).
fof(f429,plain,
( ~ sP29
| e22 != op2(e21,e22) ),
inference(cnf_transformation,[],[f81]) ).
fof(f431,plain,
( ~ sP29
| e20 != op2(e21,e20) ),
inference(cnf_transformation,[],[f81]) ).
fof(f432,plain,
( ~ sP29
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[],[f81]) ).
fof(f433,plain,
( ~ sP29
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f81]) ).
fof(f439,plain,
( ~ sP28
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f82]) ).
fof(f445,plain,
( ~ sP27
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f83]) ).
fof(f446,plain,
( ~ sP26
| e23 != op2(e20,e23) ),
inference(cnf_transformation,[],[f84]) ).
fof(f449,plain,
( ~ sP26
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f84]) ).
fof(f451,plain,
( ~ sP26
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f84]) ).
fof(f454,plain,
( ~ sP25
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f85]) ).
fof(f457,plain,
( ~ sP25
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f85]) ).
fof(f458,plain,
( ~ sP24
| e23 != op2(e22,e23) ),
inference(cnf_transformation,[],[f86]) ).
fof(f459,plain,
( ~ sP24
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f86]) ).
fof(f460,plain,
( ~ sP24
| e21 != op2(e22,e21) ),
inference(cnf_transformation,[],[f86]) ).
fof(f461,plain,
( ~ sP24
| e20 != op2(e22,e20) ),
inference(cnf_transformation,[],[f86]) ).
fof(f463,plain,
( ~ sP24
| e21 = op2(e21,e22) ),
inference(cnf_transformation,[],[f86]) ).
fof(f469,plain,
( ~ sP23
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f87]) ).
fof(f470,plain,
( ~ sP22
| e23 != op2(e20,e23) ),
inference(cnf_transformation,[],[f88]) ).
fof(f473,plain,
( ~ sP22
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f88]) ).
fof(f475,plain,
( ~ sP22
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f88]) ).
fof(f481,plain,
( ~ sP21
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f89]) ).
fof(f483,plain,
( ~ sP20
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f90]) ).
fof(f487,plain,
( ~ sP20
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f90]) ).
fof(f492,plain,
( ~ sP19
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f91]) ).
fof(f493,plain,
( ~ sP19
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f91]) ).
fof(f494,plain,
( ~ sP18
| e23 != op2(e20,e23) ),
inference(cnf_transformation,[],[f92]) ).
fof(f497,plain,
( ~ sP18
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f92]) ).
fof(f504,plain,
( ~ sP17
| e21 != op2(e23,e23) ),
inference(cnf_transformation,[],[f93]) ).
fof(f511,plain,
( ~ sP16
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f94]) ).
fof(f521,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f52]) ).
fof(f522,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f52]) ).
fof(f523,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f52]) ).
fof(f524,plain,
( op2(e23,e23) = op2(op2(e23,e23),e23)
| op2(e22,e23) = op2(op2(e22,e23),e22)
| op2(e21,e23) = op2(op2(e21,e23),e21)
| op2(e20,e23) = op2(op2(e20,e23),e20) ),
inference(cnf_transformation,[],[f52]) ).
fof(f525,plain,
( op2(e23,e22) = op2(op2(e23,e22),e23)
| op2(e22,e22) = op2(op2(e22,e22),e22)
| op2(e21,e22) = op2(op2(e21,e22),e21)
| op2(e20,e22) = op2(op2(e20,e22),e20) ),
inference(cnf_transformation,[],[f52]) ).
fof(f527,plain,
( op2(e23,e20) = op2(op2(e23,e20),e23)
| op2(e22,e20) = op2(op2(e22,e20),e22)
| op2(e21,e20) = op2(op2(e21,e20),e21)
| op2(e20,e20) = op2(op2(e20,e20),e20) ),
inference(cnf_transformation,[],[f52]) ).
fof(f528,plain,
e12 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f529,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f530,plain,
e10 = op1(e13,op1(e13,op1(e13,e13))),
inference(cnf_transformation,[],[f12]) ).
fof(f531,plain,
e22 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f532,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f533,plain,
e20 = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[],[f13]) ).
fof(f535,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f539,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f542,plain,
op2(e22,op2(e22,e22)) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f543,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f544,plain,
h3(e10) = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[],[f16]) ).
fof(f545,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f547,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f576,plain,
( ~ sP35
| e21 != h3(e11) ),
inference(cnf_transformation,[],[f102]) ).
fof(f578,plain,
( ~ sP34
| e22 != h3(e13) ),
inference(cnf_transformation,[],[f103]) ).
fof(f583,plain,
( ~ sP33
| e23 != h3(e12) ),
inference(cnf_transformation,[],[f104]) ).
fof(f605,plain,
( sP33
| sP34
| sP35
| e20 != h3(e10)
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_50,plain,
( ( op1(e10,e11) = e13 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_51,plain,
( ( op1(e10,e12) = e13 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e12) = e11 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_52,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e13) = e12 )
| ( op1(e10,e13) = e11 )
| ( op1(e10,e13) = e10 ) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_54,plain,
( ( op1(e11,e11) = e13 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e11) = e10 ) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_55,plain,
( ( op1(e11,e12) = e13 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e12) = e10 ) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_56,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e13) = e12 )
| ( op1(e11,e13) = e11 )
| ( op1(e11,e13) = e10 ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_57,plain,
( ( op1(e12,e10) = e13 )
| ( op1(e12,e10) = e12 )
| ( op1(e12,e10) = e11 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_59,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e12) = e10 ) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_60,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_65,plain,
( ( op1(e10,e13) = e10 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_66,plain,
( ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_67,plain,
( ( op1(e10,e13) = e11 )
| ( op1(e10,e12) = e11 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_69,plain,
( ( op1(e10,e13) = e12 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_70,plain,
( ( op1(e13,e10) = e12 )
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_71,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e12) = e13 )
| ( op1(e10,e11) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_73,plain,
( ( op1(e11,e13) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_76,plain,
( ( op1(e13,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_77,plain,
( ( op1(e11,e13) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e10) = e12 ) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_79,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e11,e10) = e13 ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_80,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_81,plain,
( ( op1(e12,e13) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_83,plain,
( ( op1(e12,e13) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_84,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_85,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e10) = e12 ) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_86,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_88,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_94,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e12 )
| ( op1(e10,e13) = e12 ) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_95,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_96,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_97,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_100,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_102,plain,
( ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_104,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e20 ) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_113,plain,
( ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_114,plain,
( ( op2(e23,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e21,e20) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_115,plain,
( ( op2(e20,e23) = e21 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e20) = e21 ) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_117,plain,
( ( op2(e20,e23) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_118,plain,
( ( op2(e23,e20) = e22 )
| ( op2(e22,e20) = e22 )
| ( op2(e21,e20) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_119,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_122,plain,
( ( op2(e23,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_128,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_131,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_132,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_134,plain,
( ( op2(e23,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_135,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_136,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_138,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_142,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e20,e23) = e22 ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_143,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_144,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_147,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f249]) ).
tcf(c_148,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f248]) ).
tcf(c_149,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f247]) ).
tcf(c_150,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f246]) ).
tcf(c_151,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f245]) ).
tcf(c_152,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f244]) ).
tcf(c_153,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f243]) ).
tcf(c_155,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f241]) ).
tcf(c_156,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f240]) ).
tcf(c_157,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f239]) ).
tcf(c_158,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f238]) ).
tcf(c_159,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f237]) ).
tcf(c_160,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f236]) ).
tcf(c_161,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f235]) ).
tcf(c_162,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f234]) ).
tcf(c_163,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f233]) ).
tcf(c_164,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f232]) ).
tcf(c_165,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f231]) ).
tcf(c_166,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f230]) ).
tcf(c_167,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f229]) ).
tcf(c_168,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f228]) ).
tcf(c_170,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f226]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f225]) ).
tcf(c_172,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f224]) ).
tcf(c_173,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f223]) ).
tcf(c_174,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f222]) ).
tcf(c_176,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f220]) ).
tcf(c_178,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f218]) ).
tcf(c_179,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f217]) ).
tcf(c_180,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f216]) ).
tcf(c_181,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f215]) ).
tcf(c_182,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f214]) ).
tcf(c_183,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f213]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f212]) ).
tcf(c_185,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f211]) ).
tcf(c_186,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f210]) ).
tcf(c_187,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f209]) ).
tcf(c_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f208]) ).
tcf(c_191,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f205]) ).
tcf(c_192,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f204]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f297]) ).
tcf(c_198,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f294]) ).
tcf(c_199,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f293]) ).
tcf(c_201,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f291]) ).
tcf(c_203,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f289]) ).
tcf(c_204,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f288]) ).
tcf(c_207,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f285]) ).
tcf(c_208,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f284]) ).
tcf(c_211,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f281]) ).
tcf(c_212,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f280]) ).
tcf(c_213,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f279]) ).
tcf(c_215,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f277]) ).
tcf(c_216,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f276]) ).
tcf(c_217,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f275]) ).
tcf(c_218,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f274]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f273]) ).
tcf(c_221,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f271]) ).
tcf(c_222,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f270]) ).
tcf(c_225,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f267]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f265]) ).
tcf(c_228,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f264]) ).
tcf(c_230,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f262]) ).
tcf(c_231,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f261]) ).
tcf(c_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f258]) ).
tcf(c_235,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f257]) ).
tcf(c_236,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f256]) ).
tcf(c_238,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f254]) ).
tcf(c_240,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f252]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f305]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f304]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f303]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f302]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f301]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f300]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f311]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f310]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f309]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f308]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f307]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f306]) ).
tcf(c_269,plain,
( ( op1(e10,e11) = e10 )
| ~ sP14 ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_270,plain,
( ~ sP14
| ( op1(e10,e10) != e11 ) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_272,plain,
( ~ sP14
| ( op1(e11,e11) != e11 ) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_273,plain,
( ~ sP14
| ( op1(e11,e12) != e12 ) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_275,plain,
( ( op1(e10,e12) = e10 )
| ~ sP13 ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_281,plain,
( ( op1(e10,e13) = e10 )
| ~ sP12 ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_287,plain,
( ( op1(e11,e10) = e11 )
| ~ sP11 ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_288,plain,
( ~ sP11
| ( op1(e11,e11) != e10 ) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_289,plain,
( ~ sP11
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_290,plain,
( ~ sP11
| ( op1(e10,e11) != e11 ) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_291,plain,
( ~ sP11
| ( op1(e10,e12) != e12 ) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_292,plain,
( ~ sP11
| ( op1(e10,e13) != e13 ) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_293,plain,
( ( op1(e11,e11) = e11 )
| ~ sP10 ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_296,plain,
( ~ sP10
| ( op1(e11,e11) != e11 ) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_299,plain,
( ( op1(e11,e12) = e11 )
| ~ sP9 ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_302,plain,
( ~ sP9
| ( op1(e12,e11) != e11 ) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_303,plain,
( ~ sP9
| ( op1(e12,e12) != e12 ) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_305,plain,
( ( op1(e11,e13) = e11 )
| ~ sP8 ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_311,plain,
( ( op1(e12,e10) = e12 )
| ~ sP7 ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_313,plain,
( ~ sP7
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f373]) ).
tcf(c_314,plain,
( ~ sP7
| ( op1(e10,e11) != e11 ) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_315,plain,
( ~ sP7
| ( op1(e10,e12) != e12 ) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_316,plain,
( ~ sP7
| ( op1(e10,e13) != e13 ) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_317,plain,
( ( op1(e12,e11) = e12 )
| ~ sP6 ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_323,plain,
( ( op1(e12,e12) = e12 )
| ~ sP5 ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_327,plain,
( ~ sP5
| ( op1(e12,e12) != e12 ) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_329,plain,
( ( op1(e12,e13) = e12 )
| ~ sP4 ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_330,plain,
( ~ sP4
| ( op1(e12,e12) != e13 ) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_337,plain,
( ~ sP3
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_338,plain,
( ~ sP3
| ( op1(e10,e11) != e11 ) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_339,plain,
( ~ sP3
| ( op1(e10,e12) != e12 ) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_340,plain,
( ~ sP3
| ( op1(e10,e13) != e13 ) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_342,plain,
( ~ sP2
| ( op1(e13,e13) != e11 ) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_347,plain,
( ( op1(e13,e12) = e13 )
| ~ sP1 ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_359,plain,
( ( op1(op1(e13,e10),e13) = op1(e13,e10) )
| ( op1(op1(e12,e10),e12) = op1(e12,e10) )
| ( op1(op1(e11,e10),e11) = op1(e11,e10) )
| ( op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_361,plain,
( ( op1(op1(e13,e12),e13) = op1(e13,e12) )
| ( op1(op1(e12,e12),e12) = op1(e12,e12) )
| ( op1(op1(e11,e12),e11) = op1(e11,e12) )
| ( op1(op1(e10,e12),e10) = op1(e10,e12) ) ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_362,plain,
( ( op1(op1(e13,e13),e13) = op1(e13,e13) )
| ( op1(op1(e12,e13),e12) = op1(e12,e13) )
| ( op1(op1(e11,e13),e11) = op1(e11,e13) )
| ( op1(op1(e10,e13),e10) = op1(e10,e13) ) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_363,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_364,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_365,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_369,plain,
( ( op2(e20,e21) = e20 )
| ~ sP29 ),
inference(cnf_transformation,[],[f433]) ).
tcf(c_370,plain,
( ~ sP29
| ( op2(e20,e20) != e21 ) ),
inference(cnf_transformation,[],[f432]) ).
tcf(c_371,plain,
( ~ sP29
| ( op2(e21,e20) != e20 ) ),
inference(cnf_transformation,[],[f431]) ).
tcf(c_373,plain,
( ~ sP29
| ( op2(e21,e22) != e22 ) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_374,plain,
( ~ sP29
| ( op2(e21,e23) != e23 ) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_375,plain,
( ( op2(e20,e22) = e20 )
| ~ sP28 ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_381,plain,
( ( op2(e20,e23) = e20 )
| ~ sP27 ),
inference(cnf_transformation,[],[f445]) ).
tcf(c_387,plain,
( ( op2(e21,e20) = e21 )
| ~ sP26 ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_389,plain,
( ~ sP26
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_392,plain,
( ~ sP26
| ( op2(e20,e23) != e23 ) ),
inference(cnf_transformation,[],[f446]) ).
tcf(c_393,plain,
( ( op2(e21,e21) = e21 )
| ~ sP25 ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_396,plain,
( ~ sP25
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_399,plain,
( ( op2(e21,e22) = e21 )
| ~ sP24 ),
inference(cnf_transformation,[],[f463]) ).
tcf(c_401,plain,
( ~ sP24
| ( op2(e22,e20) != e20 ) ),
inference(cnf_transformation,[],[f461]) ).
tcf(c_402,plain,
( ~ sP24
| ( op2(e22,e21) != e21 ) ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_403,plain,
( ~ sP24
| ( op2(e22,e22) != e22 ) ),
inference(cnf_transformation,[],[f459]) ).
tcf(c_404,plain,
( ~ sP24
| ( op2(e22,e23) != e23 ) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_405,plain,
( ( op2(e21,e23) = e21 )
| ~ sP23 ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_411,plain,
( ( op2(e22,e20) = e22 )
| ~ sP22 ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_413,plain,
( ~ sP22
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_416,plain,
( ~ sP22
| ( op2(e20,e23) != e23 ) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_417,plain,
( ( op2(e22,e21) = e22 )
| ~ sP21 ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_423,plain,
( ( op2(e22,e22) = e22 )
| ~ sP20 ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_427,plain,
( ~ sP20
| ( op2(e22,e22) != e22 ) ),
inference(cnf_transformation,[],[f483]) ).
tcf(c_429,plain,
( ( op2(e22,e23) = e22 )
| ~ sP19 ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_430,plain,
( ~ sP19
| ( op2(e22,e22) != e23 ) ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_437,plain,
( ~ sP18
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_440,plain,
( ~ sP18
| ( op2(e20,e23) != e23 ) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_442,plain,
( ~ sP17
| ( op2(e23,e23) != e21 ) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_447,plain,
( ( op2(e23,e22) = e23 )
| ~ sP16 ),
inference(cnf_transformation,[],[f511]) ).
tcf(c_459,plain,
( ( op2(op2(e23,e20),e23) = op2(e23,e20) )
| ( op2(op2(e22,e20),e22) = op2(e22,e20) )
| ( op2(op2(e21,e20),e21) = op2(e21,e20) )
| ( op2(op2(e20,e20),e20) = op2(e20,e20) ) ),
inference(cnf_transformation,[],[f527]) ).
tcf(c_461,plain,
( ( op2(op2(e23,e22),e23) = op2(e23,e22) )
| ( op2(op2(e22,e22),e22) = op2(e22,e22) )
| ( op2(op2(e21,e22),e21) = op2(e21,e22) )
| ( op2(op2(e20,e22),e20) = op2(e20,e22) ) ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_462,plain,
( ( op2(op2(e23,e23),e23) = op2(e23,e23) )
| ( op2(op2(e22,e23),e22) = op2(e22,e23) )
| ( op2(op2(e21,e23),e21) = op2(e21,e23) )
| ( op2(op2(e20,e23),e20) = op2(e20,e23) ) ),
inference(cnf_transformation,[],[f524]) ).
tcf(c_463,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f523]) ).
tcf(c_464,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f522]) ).
tcf(c_465,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f521]) ).
tcf(c_469,plain,
op1(e13,op1(e13,op1(e13,e13))) = e10,
inference(cnf_transformation,[],[f530]) ).
tcf(c_470,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[],[f529]) ).
tcf(c_471,plain,
op1(e13,op1(e13,e13)) = e12,
inference(cnf_transformation,[],[f528]) ).
tcf(c_472,plain,
op2(e23,op2(e23,op2(e23,e23))) = e20,
inference(cnf_transformation,[],[f533]) ).
tcf(c_473,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f532]) ).
tcf(c_474,plain,
op2(e23,op2(e23,e23)) = e22,
inference(cnf_transformation,[],[f531]) ).
tcf(c_477,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f535]) ).
tcf(c_481,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f539]) ).
tcf(c_483,plain,
h3(e13) = e22,
inference(cnf_transformation,[],[f545]) ).
tcf(c_484,plain,
op2(e22,op2(e22,op2(e22,e22))) = h3(e10),
inference(cnf_transformation,[],[f544]) ).
tcf(c_485,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f543]) ).
tcf(c_486,plain,
op2(e22,op2(e22,e22)) = h3(e12),
inference(cnf_transformation,[],[f542]) ).
tcf(c_489,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f547]) ).
tcf(c_516,plain,
( ~ sP35
| ( h3(e11) != e21 ) ),
inference(cnf_transformation,[],[f576]) ).
tcf(c_522,plain,
( ~ sP34
| ( h3(e13) != e22 ) ),
inference(cnf_transformation,[],[f578]) ).
tcf(c_525,plain,
( ~ sP33
| ( h3(e12) != e23 ) ),
inference(cnf_transformation,[],[f583]) ).
tcf(c_547,negated_conjecture,
( sP33
| sP34
| sP35
| ( h3(e10) != e20 )
| ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
| ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
| ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
| ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
| ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
| ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
| ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
| ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
| ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
| ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f605]) ).
tcf(c_583,plain,
~ sP20,
inference(global_subsumption_just,[status(thm)],[c_423,c_423,c_427]) ).
tcf(c_585,plain,
~ sP25,
inference(global_subsumption_just,[status(thm)],[c_393,c_393,c_396]) ).
tcf(c_591,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_323,c_323,c_327]) ).
tcf(c_593,plain,
~ sP10,
inference(global_subsumption_just,[status(thm)],[c_293,c_293,c_296]) ).
tcf(c_725,plain,
( sP33
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
| ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
| ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
| ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
| ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
| ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
| ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
| ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
| ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
| ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
| ( h3(e10) != e20 )
| sP35 ),
inference(global_subsumption_just,[status(thm)],[c_547,c_483,c_522,c_547]) ).
tcf(c_726,negated_conjecture,
( sP33
| sP35
| ( h3(e10) != e20 )
| ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
| ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
| ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
| ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
| ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
| ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
| ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
| ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
| ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
| ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_725]) ).
fof(f21,definition,
( ~ sP0
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) != e13
& op1(e13,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP1
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e13) != e12
& op1(e13,e12) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP2
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e13) != e11
& op1(e13,e11) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ~ sP3
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ~ sP4
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP5
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP6
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ~ sP7
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ~ sP8
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP9
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP10
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP11
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ~ sP12
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ~ sP13
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP14
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f36,plain,
( ( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) )
& ( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) )
& ( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) )
& ( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) )
& ( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
inference(definition_folding,[],[f10,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f37,definition,
( ~ sP15
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) != e23
& op2(e23,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ~ sP16
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e23) != e22
& op2(e23,e22) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ~ sP17
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e23) != e21
& op2(e23,e21) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ~ sP18
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ~ sP19
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ~ sP20
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ~ sP21
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ~ sP22
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ~ sP23
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ~ sP24
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ~ sP25
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ~ sP26
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ~ sP27
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ~ sP28
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ~ sP29
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f52,plain,
( ( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) )
& ( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) )
& ( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) )
& ( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) )
& ( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ) ),
inference(definition_folding,[],[f11,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37]) ).
fof(f80,plain,
( ~ sP0
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) != e13
& op1(e13,e13) = e13 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f95,plain,
( ~ sP15
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) != e23
& op2(e23,e23) = e23 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f412,plain,
( ~ sP0
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f80]) ).
fof(f417,plain,
( ~ sP0
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f80]) ).
fof(f512,plain,
( ~ sP15
| e23 != op2(e23,e23) ),
inference(cnf_transformation,[],[f95]) ).
fof(f517,plain,
( ~ sP15
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_353,plain,
( ( op1(e13,e13) = e13 )
| ~ sP0 ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_358,plain,
( ~ sP0
| ( op1(e13,e13) != e13 ) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_453,plain,
( ( op2(e23,e23) = e23 )
| ~ sP15 ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_458,plain,
( ~ sP15
| ( op2(e23,e23) != e23 ) ),
inference(cnf_transformation,[],[f512]) ).
tcf(c_579,plain,
~ sP15,
inference(global_subsumption_just,[status(thm)],[c_453,c_453,c_458]) ).
tcf(c_587,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_353,c_353,c_358]) ).
tcf(c_675,plain,
( sP18
| sP19
| sP26
| sP27
| sP28
| sP29
| sP24
| sP23
| sP22
| sP21
| sP16 ),
inference(global_subsumption_just,[status(thm)],[c_463,c_473,c_442,c_463,c_465,c_579,c_583,c_585]) ).
tcf(c_676,plain,
( sP16
| sP18
| sP19
| sP21
| sP22
| sP23
| sP24
| sP26
| sP27
| sP28
| sP29 ),
inference(renaming,[status(thm)],[c_675]) ).
tcf(c_677,plain,
( sP3
| sP4
| sP11
| sP12
| sP13
| sP14
| sP9
| sP8
| sP7
| sP6
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_363,c_470,c_342,c_363,c_365,c_587,c_591,c_593]) ).
tcf(c_678,plain,
( sP1
| sP3
| sP4
| sP6
| sP7
| sP8
| sP9
| sP11
| sP12
| sP13
| sP14 ),
inference(renaming,[status(thm)],[c_677]) ).
tcf(c_687,plain,
( sP18
| sP19
| sP26
| sP27
| sP28
| sP29
| sP24
| sP23
| sP22
| sP21
| sP16 ),
inference(global_subsumption_just,[status(thm)],[c_464,c_676]) ).
tcf(c_688,plain,
( sP16
| sP18
| sP19
| sP21
| sP22
| sP23
| sP24
| sP26
| sP27
| sP28
| sP29 ),
inference(renaming,[status(thm)],[c_687]) ).
tcf(c_697,plain,
( sP3
| sP4
| sP11
| sP12
| sP13
| sP14
| sP9
| sP8
| sP7
| sP6
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_364,c_678]) ).
tcf(c_698,plain,
( sP1
| sP3
| sP4
| sP6
| sP7
| sP8
| sP9
| sP11
| sP12
| sP13
| sP14 ),
inference(renaming,[status(thm)],[c_697]) ).
tcf(c_6467,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_726,c_698,c_688,c_525,c_516,c_489,c_486,c_485,c_484,c_483,c_481,c_477,c_474,c_473,c_472,c_471,c_470,c_469,c_462,c_461,c_459,c_447,c_440,c_437,c_430,c_429,c_417,c_416,c_413,c_411,c_405,c_404,c_403,c_402,c_401,c_399,c_392,c_389,c_387,c_381,c_375,c_374,c_373,c_371,c_370,c_369,c_362,c_361,c_359,c_347,c_340,c_339,c_338,c_337,c_330,c_329,c_317,c_316,c_315,c_314,c_313,c_311,c_305,c_303,c_302,c_299,c_292,c_291,c_290,c_289,c_288,c_287,c_281,c_275,c_273,c_272,c_270,c_269,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_238,c_236,c_235,c_234,c_231,c_230,c_228,c_227,c_225,c_222,c_221,c_219,c_218,c_217,c_216,c_215,c_213,c_212,c_211,c_208,c_207,c_204,c_203,c_201,c_199,c_198,c_195,c_192,c_191,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_176,c_174,c_173,c_172,c_171,c_170,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_153,c_152,c_151,c_150,c_149,c_148,c_147,c_144,c_143,c_142,c_138,c_136,c_135,c_134,c_132,c_131,c_128,c_122,c_119,c_118,c_117,c_115,c_114,c_113,c_104,c_102,c_100,c_97,c_96,c_95,c_94,c_88,c_86,c_85,c_84,c_83,c_81,c_80,c_79,c_77,c_76,c_73,c_71,c_70,c_69,c_67,c_66,c_65,c_60,c_59,c_57,c_56,c_55,c_54,c_52,c_51,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG122+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 04:47:53 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 0.10/0.40
% 0.10/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.40
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 6.57/1.70 % SZS status Started for theBenchmark.p
% 6.57/1.70 % SZS status Theorem for theBenchmark.p
% 6.57/1.70
% 6.57/1.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.57/1.70
% 6.57/1.70 % ------ iProver source info
% 6.57/1.70
% 6.57/1.70 % git: date: 2026-07-19 20:42:38 +0200
% 6.57/1.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.57/1.70 % git: non_committed_changes: false
% 6.57/1.70
% 6.57/1.70 % ------ Parsing...
% 6.57/1.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.57/1.70
% 6.57/1.70 % ------ Preprocessing... sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe_e %
% 6.57/1.70
% 6.57/1.70 % ------ Preprocessing...%
% 6.57/1.70
% 6.57/1.70 % SZS status Theorem for theBenchmark.p
% 6.57/1.70
% 6.57/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.57/1.72
% 6.57/1.72
%------------------------------------------------------------------------------