%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG123+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 1.17s 1.70s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f65ERROR: Could not build tree for root c_12012ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e12) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e11) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e10) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e22) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e21) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e20) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(op1(op1(e13,e13),e13),e13)
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(op2(op2(e23,e23),e23),e23)
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& h1(e10) = op2(e20,e20)
& h1(e13) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& h2(e10) = op2(e21,e21)
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& h3(e10) = op2(e22,e22)
& h3(e13) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f66,plain,
( ~ sP14
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f67,plain,
( ~ sP13
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f68,plain,
( ~ sP12
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f69,plain,
( ~ sP11
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f70,plain,
( ~ sP10
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f71,plain,
( ~ sP9
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f72,plain,
( ~ sP8
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f73,plain,
( ~ sP7
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f74,plain,
( ~ sP6
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f75,plain,
( ~ sP5
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f76,plain,
( ~ sP4
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f77,plain,
( ~ sP3
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e10) = e10 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f78,plain,
( ~ sP2
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e11) = e11 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f79,plain,
( ~ sP1
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e12) = e12 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f81,plain,
( ~ sP29
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f82,plain,
( ~ sP28
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f83,plain,
( ~ sP27
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f84,plain,
( ~ sP26
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f85,plain,
( ~ sP25
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f86,plain,
( ~ sP24
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f87,plain,
( ~ sP23
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f88,plain,
( ~ sP22
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f89,plain,
( ~ sP21
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f90,plain,
( ~ sP20
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f91,plain,
( ~ sP19
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f92,plain,
( ~ sP18
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e20) = e20 ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f93,plain,
( ~ sP17
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e21) = e21 ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f94,plain,
( ~ sP16
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e22) = e22 ) ),
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(f108,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f109,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f111,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
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(f123,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
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(f127,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
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(f133,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
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(f139,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,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(f146,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f152,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
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(f156,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
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(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(f175,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
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(f183,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
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(f187,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f192,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
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(f206,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
op1(e13,e10) != op1(e13,e12),
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(f213,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f216,plain,
op1(e11,e12) != 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(f225,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
op1(e10,e10) != op1(e10,e11),
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(f246,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
op1(e10,e10) != op1(e12,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(f258,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f259,plain,
op2(e22,e21) != 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(f266,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f282,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f283,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f284,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f296,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f297,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f298,plain,
op2(e20,e20) != op2(e22,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(f328,plain,
( ~ sP14
| e13 != op1(e13,e10)
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f66]) ).
fof(f333,plain,
( ~ sP13
| e13 != op1(e13,e10)
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f67]) ).
fof(f338,plain,
( ~ sP12
| e13 != op1(e13,e10)
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f68]) ).
fof(f346,plain,
( ~ sP11
| e10 != op1(e10,e11)
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f69]) ).
fof(f352,plain,
( ~ sP10
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f70]) ).
fof(f356,plain,
( ~ sP9
| e10 != op1(e10,e11)
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f71]) ).
fof(f361,plain,
( ~ sP8
| e10 != op1(e10,e11)
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f72]) ).
fof(f367,plain,
( ~ sP7
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f73]) ).
fof(f372,plain,
( ~ sP6
| e11 = op1(e12,e11) ),
inference(cnf_transformation,[],[f74]) ).
fof(f377,plain,
( ~ sP5
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f75]) ).
fof(f382,plain,
( ~ sP4
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f76]) ).
fof(f387,plain,
( ~ sP3
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f77]) ).
fof(f392,plain,
( ~ sP2
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f78]) ).
fof(f397,plain,
( ~ sP1
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f79]) ).
fof(f406,plain,
( e13 = op1(e13,e10)
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f36]) ).
fof(f407,plain,
( e12 = op1(e12,e13)
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f36]) ).
fof(f412,plain,
( e11 = op1(e11,e12)
| e12 != op1(e11,e11) ),
inference(cnf_transformation,[],[f36]) ).
fof(f417,plain,
( e10 = op1(e10,e11)
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f36]) ).
fof(f419,plain,
( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f36]) ).
fof(f420,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| e13 != op1(e13,e10)
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f36]) ).
fof(f422,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| e11 != op1(e11,e10)
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f36]) ).
fof(f424,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(f425,plain,
( ~ sP29
| e23 != op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f81]) ).
fof(f430,plain,
( ~ sP28
| e23 != op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f82]) ).
fof(f435,plain,
( ~ sP27
| e23 != op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f83]) ).
fof(f444,plain,
( ~ sP26
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f84]) ).
fof(f449,plain,
( ~ sP25
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f85]) ).
fof(f454,plain,
( ~ sP24
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f86]) ).
fof(f458,plain,
( ~ sP23
| e20 != op2(e20,e21)
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[],[f87]) ).
fof(f464,plain,
( ~ sP22
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f88]) ).
fof(f469,plain,
( ~ sP21
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f89]) ).
fof(f474,plain,
( ~ sP20
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f90]) ).
fof(f479,plain,
( ~ sP19
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f91]) ).
fof(f484,plain,
( ~ sP18
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f92]) ).
fof(f489,plain,
( ~ sP17
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f93]) ).
fof(f494,plain,
( ~ sP16
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f94]) ).
fof(f503,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f52]) ).
fof(f504,plain,
( e22 = op2(e22,e23)
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f52]) ).
fof(f508,plain,
( e21 = op2(e21,e23)
| e23 != op2(e21,e21) ),
inference(cnf_transformation,[],[f52]) ).
fof(f509,plain,
( e21 = op2(e21,e22)
| e22 != op2(e21,e21) ),
inference(cnf_transformation,[],[f52]) ).
fof(f514,plain,
( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[],[f52]) ).
fof(f516,plain,
( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f52]) ).
fof(f517,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| e23 != op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f52]) ).
fof(f519,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| e21 != op2(e21,e20)
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f52]) ).
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,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f523,plain,
e11 = op1(op1(op1(e13,e13),e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f524,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f525,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f526,plain,
e21 = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f527,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f530,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f534,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f536,plain,
op2(op2(e22,e22),e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f537,plain,
h3(e11) = op2(op2(op2(e22,e22),e22),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f538,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f539,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f570,plain,
( ~ sP35
| e21 != h3(e11) ),
inference(cnf_transformation,[],[f102]) ).
fof(f572,plain,
( ~ sP34
| e22 != h3(e13) ),
inference(cnf_transformation,[],[f103]) ).
fof(f577,plain,
( ~ sP33
| e23 != h3(e12) ),
inference(cnf_transformation,[],[f104]) ).
fof(f599,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_49,plain,
( ( op1(e10,e10) = e13 )
| ( op1(e10,e10) = e12 )
| ( op1(e10,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f123]) ).
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_61,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e10) = e12 )
| ( op1(e13,e10) = e11 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_63,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e12) = e10 ) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_64,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12 )
| ( op1(e13,e13) = e11 )
| ( op1(e13,e13) = e10 ) ),
inference(cnf_transformation,[],[f108]) ).
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_68,plain,
( ( op1(e13,e10) = e11 )
| ( op1(e12,e10) = e11 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_74,plain,
( ( op1(e13,e11) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f146]) ).
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_81,plain,
( ( op1(e12,e13) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f139]) ).
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_87,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(cnf_transformation,[],[f133]) ).
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_93,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(cnf_transformation,[],[f127]) ).
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_102,plain,
( ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_107,plain,
( ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e20 ) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_109,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_111,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e20 ) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_112,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e20 ) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_116,plain,
( ( op2(e23,e20) = e21 )
| ( op2(e22,e20) = e21 )
| ( op2(e21,e20) = e21 )
| ( op2(e20,e20) = e21 ) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_123,plain,
( ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_124,plain,
( ( op2(e23,e21) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e20,e21) = e21 ) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_129,plain,
( ( op2(e22,e23) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(cnf_transformation,[],[f187]) ).
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_133,plain,
( ( op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e20) = e22 ) ),
inference(cnf_transformation,[],[f183]) ).
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_141,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(cnf_transformation,[],[f175]) ).
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_146,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f250]) ).
tcf(c_147,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f249]) ).
tcf(c_150,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f246]) ).
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_169,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f227]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f225]) ).
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_180,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f216]) ).
tcf(c_183,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f213]) ).
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_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f208]) ).
tcf(c_190,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f206]) ).
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_194,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f298]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f297]) ).
tcf(c_196,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f296]) ).
tcf(c_198,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f294]) ).
tcf(c_208,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f284]) ).
tcf(c_209,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f283]) ).
tcf(c_210,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f282]) ).
tcf(c_214,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f278]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f273]) ).
tcf(c_224,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f268]) ).
tcf(c_226,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f266]) ).
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_233,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f259]) ).
tcf(c_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f258]) ).
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_273,plain,
( ~ sP14
| ( op1(e13,e13) != e10 )
| ( op1(e13,e10) != e13 ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_278,plain,
( ~ sP13
| ( op1(e13,e13) != e10 )
| ( op1(e13,e10) != e13 ) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_283,plain,
( ~ sP12
| ( op1(e13,e13) != e10 )
| ( op1(e13,e10) != e13 ) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_285,plain,
( ~ sP11
| ( op1(e10,e11) != e10 )
| ( op1(e10,e10) != e11 ) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_289,plain,
( ( op1(e11,e11) = e11 )
| ~ sP10 ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_291,plain,
( ~ sP10
| ( op1(e11,e11) != e11 ) ),
inference(cnf_transformation,[],[f612]) ).
tcf(c_295,plain,
( ~ sP9
| ( op1(e10,e11) != e10 )
| ( op1(e10,e10) != e11 ) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_300,plain,
( ~ sP8
| ( op1(e10,e11) != e10 )
| ( op1(e10,e10) != e11 ) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_304,plain,
( ( op1(e12,e10) = e10 )
| ~ sP7 ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_307,plain,
( ~ sP7
| ( op1(e12,e12) != e12 ) ),
inference(cnf_transformation,[],[f615]) ).
tcf(c_309,plain,
( ( op1(e12,e11) = e11 )
| ~ sP6 ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_314,plain,
( ( op1(e12,e12) = e12 )
| ~ sP5 ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_317,plain,
( ~ sP5
| ( op1(e12,e12) != e12 ) ),
inference(cnf_transformation,[],[f617]) ).
tcf(c_319,plain,
( ( op1(e12,e13) = e13 )
| ~ sP4 ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_324,plain,
( ( op1(e13,e10) = e10 )
| ~ sP3 ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_329,plain,
( ( op1(e13,e11) = e11 )
| ~ sP2 ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_334,plain,
( ( op1(e13,e12) = e12 )
| ~ sP1 ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_343,plain,
( ~ sP0
| ( op1(e13,e13) != e13 ) ),
inference(cnf_transformation,[],[f622]) ).
tcf(c_344,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_346,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e11,e11) != e10 )
| ( op1(e11,e10) != e11 ) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_348,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( op1(e13,e13) != e10 )
| ( op1(e13,e10) != e13 ) ),
inference(cnf_transformation,[],[f420]) ).
tcf(c_349,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_350,plain,
( ( op1(e10,e11) = e10 )
| ( op1(e10,e10) != e11 ) ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_354,plain,
( ( op1(e11,e12) = e11 )
| ( op1(e11,e11) != e12 ) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_358,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e12) != e13 ) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_359,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e13) != e10 ) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_366,plain,
( ~ sP29
| ( op2(e23,e23) != e20 )
| ( op2(e23,e20) != e23 ) ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_371,plain,
( ~ sP28
| ( op2(e23,e23) != e20 )
| ( op2(e23,e20) != e23 ) ),
inference(cnf_transformation,[],[f430]) ).
tcf(c_376,plain,
( ~ sP27
| ( op2(e23,e23) != e20 )
| ( op2(e23,e20) != e23 ) ),
inference(cnf_transformation,[],[f435]) ).
tcf(c_377,plain,
( ( op2(e21,e20) = e20 )
| ~ sP26 ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_379,plain,
( ~ sP26
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f627]) ).
tcf(c_382,plain,
( ( op2(e21,e21) = e21 )
| ~ sP25 ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_384,plain,
( ~ sP25
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f628]) ).
tcf(c_387,plain,
( ( op2(e21,e22) = e22 )
| ~ sP24 ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_389,plain,
( ~ sP24
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f629]) ).
tcf(c_393,plain,
( ~ sP23
| ( op2(e20,e21) != e20 )
| ( op2(e20,e20) != e21 ) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_394,plain,
( ~ sP23
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f630]) ).
tcf(c_397,plain,
( ( op2(e22,e20) = e20 )
| ~ sP22 ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_400,plain,
( ~ sP22
| ( op2(e22,e22) != e22 ) ),
inference(cnf_transformation,[],[f631]) ).
tcf(c_402,plain,
( ( op2(e22,e21) = e21 )
| ~ sP21 ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_407,plain,
( ( op2(e22,e22) = e22 )
| ~ sP20 ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_410,plain,
( ~ sP20
| ( op2(e22,e22) != e22 ) ),
inference(cnf_transformation,[],[f633]) ).
tcf(c_412,plain,
( ( op2(e22,e23) = e23 )
| ~ sP19 ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_417,plain,
( ( op2(e23,e20) = e20 )
| ~ sP18 ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_422,plain,
( ( op2(e23,e21) = e21 )
| ~ sP17 ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_427,plain,
( ( op2(e23,e22) = e22 )
| ~ sP16 ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_436,plain,
( ~ sP15
| ( op2(e23,e23) != e23 ) ),
inference(cnf_transformation,[],[f638]) ).
tcf(c_437,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_439,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op2(e21,e21) != e20 )
| ( op2(e21,e20) != e21 ) ),
inference(cnf_transformation,[],[f519]) ).
tcf(c_441,plain,
( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( op2(e23,e23) != e20 )
| ( op2(e23,e20) != e23 ) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_442,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_443,plain,
( ( op2(e20,e21) = e20 )
| ( op2(e20,e20) != e21 ) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_447,plain,
( ( op2(e21,e22) = e21 )
| ( op2(e21,e21) != e22 ) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_448,plain,
( ( op2(e21,e23) = e21 )
| ( op2(e21,e21) != e23 ) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_451,plain,
( ( op2(e22,e23) = e22 )
| ( op2(e22,e22) != e23 ) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_452,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e23) != e20 ) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_455,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f524]) ).
tcf(c_456,plain,
op1(op1(op1(e13,e13),e13),e13) = e11,
inference(cnf_transformation,[],[f523]) ).
tcf(c_457,plain,
op1(op1(e13,e13),e13) = e12,
inference(cnf_transformation,[],[f522]) ).
tcf(c_458,plain,
op2(e23,e23) = e20,
inference(cnf_transformation,[],[f527]) ).
tcf(c_459,plain,
op2(op2(op2(e23,e23),e23),e23) = e21,
inference(cnf_transformation,[],[f526]) ).
tcf(c_460,plain,
op2(op2(e23,e23),e23) = e22,
inference(cnf_transformation,[],[f525]) ).
tcf(c_462,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f530]) ).
tcf(c_466,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f534]) ).
tcf(c_469,plain,
h3(e13) = e22,
inference(cnf_transformation,[],[f539]) ).
tcf(c_470,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f538]) ).
tcf(c_471,plain,
op2(op2(op2(e22,e22),e22),e22) = h3(e11),
inference(cnf_transformation,[],[f537]) ).
tcf(c_472,plain,
op2(op2(e22,e22),e22) = h3(e12),
inference(cnf_transformation,[],[f536]) ).
tcf(c_502,plain,
( ~ sP35
| ( h3(e11) != e21 ) ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_508,plain,
( ~ sP34
| ( h3(e13) != e22 ) ),
inference(cnf_transformation,[],[f572]) ).
tcf(c_511,plain,
( ~ sP33
| ( h3(e12) != e23 ) ),
inference(cnf_transformation,[],[f577]) ).
tcf(c_533,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,[],[f599]) ).
tcf(c_567,plain,
~ sP20,
inference(global_subsumption_just,[status(thm)],[c_407,c_407,c_410]) ).
tcf(c_569,plain,
~ sP25,
inference(global_subsumption_just,[status(thm)],[c_382,c_382,c_384]) ).
tcf(c_579,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_314,c_314,c_317]) ).
tcf(c_581,plain,
~ sP10,
inference(global_subsumption_just,[status(thm)],[c_289,c_289,c_291]) ).
tcf(c_669,plain,
( ~ sP23
| ( op2(e20,e20) != e21 ) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_443,c_393]) ).
tcf(c_759,plain,
( ~ sP8
| ( op1(e10,e10) != e11 ) ),
inference(global_subsumption_just,[status(thm)],[c_300,c_350,c_300]) ).
tcf(c_765,plain,
( ~ sP9
| ( op1(e10,e10) != e11 ) ),
inference(global_subsumption_just,[status(thm)],[c_295,c_350,c_295]) ).
tcf(c_777,plain,
( ~ sP11
| ( op1(e10,e10) != e11 ) ),
inference(global_subsumption_just,[status(thm)],[c_285,c_350,c_285]) ).
tcf(c_813,plain,
op2(e23,e23) = e20,
inference(global_subsumption_just,[status(thm)],[c_112,c_458]) ).
tcf(c_815,plain,
op2(e23,e20) = e23,
inference(global_subsumption_just,[status(thm)],[c_109,c_458,c_452]) ).
tcf(c_825,plain,
op1(e13,e13) = e10,
inference(global_subsumption_just,[status(thm)],[c_64,c_455]) ).
tcf(c_827,plain,
op1(e13,e10) = e13,
inference(global_subsumption_just,[status(thm)],[c_61,c_455,c_359]) ).
tcf(c_855,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_533,c_469,c_508,c_533]) ).
tcf(c_856,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_855]) ).
tcf(c_3119,plain,
op2(e20,e23) = e22,
inference(light_normalisation,[status(thm)],[c_460,c_813]) ).
tcf(c_3120,plain,
op1(e10,e13) = e12,
inference(light_normalisation,[status(thm)],[c_457,c_825]) ).
tcf(c_3129,plain,
( ( e20 = e23 )
| ~ sP18 ),
inference(light_normalisation,[status(thm)],[c_417,c_815]) ).
tcf(c_3130,plain,
~ sP18,
inference(forward_subsumption_resolution,[status(thm)],[c_3129,c_249]) ).
tcf(c_3163,plain,
( ( e10 = e13 )
| ~ sP3 ),
inference(light_normalisation,[status(thm)],[c_324,c_827]) ).
tcf(c_3164,plain,
~ sP3,
inference(forward_subsumption_resolution,[status(thm)],[c_3163,c_243]) ).
tcf(c_3347,plain,
( ~ sP23
| ( h1(e10) != e21 ) ),
inference(light_normalisation,[status(thm)],[c_669,c_462]) ).
tcf(c_3453,plain,
op2(h3(e10),e22) = h3(e12),
inference(light_normalisation,[status(thm)],[c_472,c_470]) ).
tcf(c_3472,plain,
( ~ sP22
| ( h3(e10) != e22 ) ),
inference(light_normalisation,[status(thm)],[c_400,c_470]) ).
tcf(c_3479,plain,
( ~ sP23
| ( h2(e10) != e21 ) ),
inference(light_normalisation,[status(thm)],[c_394,c_466]) ).
tcf(c_3486,plain,
( ~ sP24
| ( h2(e10) != e21 ) ),
inference(light_normalisation,[status(thm)],[c_389,c_466]) ).
tcf(c_3493,plain,
( ~ sP26
| ( h2(e10) != e21 ) ),
inference(light_normalisation,[status(thm)],[c_379,c_466]) ).
tcf(c_3526,plain,
op2(e23,e22) != e20,
inference(light_normalisation,[status(thm)],[c_240,c_813]) ).
tcf(c_3529,plain,
op2(e23,e22) != e23,
inference(light_normalisation,[status(thm)],[c_236,c_815]) ).
tcf(c_3531,plain,
op2(e22,e23) != h3(e10),
inference(light_normalisation,[status(thm)],[c_234,c_470]) ).
tcf(c_3533,plain,
op2(e22,e20) != h3(e10),
inference(light_normalisation,[status(thm)],[c_230,c_470]) ).
tcf(c_3535,plain,
op2(e21,e22) != h2(e10),
inference(light_normalisation,[status(thm)],[c_226,c_466]) ).
tcf(c_3539,plain,
h1(e10) != e22,
inference(light_normalisation,[status(thm)],[c_219,c_462,c_3119]) ).
tcf(c_3547,plain,
op2(e23,e22) != h3(e10),
inference(light_normalisation,[status(thm)],[c_210,c_470]) ).
tcf(c_3548,plain,
op2(e21,e22) != h3(e10),
inference(light_normalisation,[status(thm)],[c_208,c_470]) ).
tcf(c_3553,plain,
op2(e22,e20) != e23,
inference(light_normalisation,[status(thm)],[c_198,c_815]) ).
tcf(c_3555,plain,
h1(e10) != e23,
inference(light_normalisation,[status(thm)],[c_195,c_462,c_815]) ).
tcf(c_3556,plain,
op2(e22,e20) != h1(e10),
inference(light_normalisation,[status(thm)],[c_194,c_462]) ).
tcf(c_3558,plain,
op1(e13,e12) != e10,
inference(light_normalisation,[status(thm)],[c_192,c_825]) ).
tcf(c_3559,plain,
op1(e13,e11) != e10,
inference(light_normalisation,[status(thm)],[c_191,c_825]) ).
tcf(c_3561,plain,
op1(e13,e12) != e13,
inference(light_normalisation,[status(thm)],[c_188,c_827]) ).
tcf(c_3565,plain,
op1(e10,e10) != e12,
inference(light_normalisation,[status(thm)],[c_171,c_3120]) ).
tcf(c_3571,plain,
op1(e12,e10) != e13,
inference(light_normalisation,[status(thm)],[c_150,c_827]) ).
tcf(c_3573,plain,
op1(e10,e10) != e13,
inference(light_normalisation,[status(thm)],[c_147,c_827]) ).
tcf(c_3574,plain,
op2(e22,e23) = e21,
inference(light_normalisation,[status(thm)],[c_459,c_813,c_3119]) ).
tcf(c_3576,plain,
op2(e21,e23) != e21,
inference(demodulation,[status(thm)],[c_214,c_3574]) ).
tcf(c_3578,plain,
op2(e22,e20) != e21,
inference(demodulation,[status(thm)],[c_231,c_3574]) ).
tcf(c_3579,plain,
op2(e22,e21) != e21,
inference(demodulation,[status(thm)],[c_233,c_3574]) ).
tcf(c_3580,plain,
h3(e10) != e21,
inference(demodulation,[status(thm)],[c_3531,c_3574]) ).
tcf(c_3581,plain,
( ( e21 = e23 )
| ~ sP19 ),
inference(demodulation,[status(thm)],[c_412,c_3574]) ).
tcf(c_3582,plain,
~ sP19,
inference(forward_subsumption_resolution,[status(thm)],[c_3581,c_251]) ).
tcf(c_3598,plain,
~ sP21,
inference(backward_subsumption_resolution,[status(thm)],[c_402,c_3579]) ).
tcf(c_3612,plain,
op1(e12,e13) = e11,
inference(light_normalisation,[status(thm)],[c_456,c_825,c_3120]) ).
tcf(c_3616,plain,
op1(e12,e10) != e11,
inference(demodulation,[status(thm)],[c_183,c_3612]) ).
tcf(c_3617,plain,
op1(e12,e11) != e11,
inference(demodulation,[status(thm)],[c_185,c_3612]) ).
tcf(c_3618,plain,
op1(e12,e12) != e11,
inference(demodulation,[status(thm)],[c_186,c_3612]) ).
tcf(c_3619,plain,
( ( e11 = e13 )
| ~ sP4 ),
inference(demodulation,[status(thm)],[c_319,c_3612]) ).
tcf(c_3620,plain,
~ sP4,
inference(forward_subsumption_resolution,[status(thm)],[c_3619,c_245]) ).
tcf(c_3636,plain,
~ sP6,
inference(backward_subsumption_resolution,[status(thm)],[c_309,c_3617]) ).
tcf(c_3653,plain,
op2(h3(e12),e22) = h3(e11),
inference(light_normalisation,[status(thm)],[c_471,c_470,c_3453]) ).
tcf(c_3658,plain,
( ( e21 = e22 )
| ( h3(e10) != e23 ) ),
inference(light_normalisation,[status(thm)],[c_451,c_470,c_3574]) ).
tcf(c_3659,plain,
h3(e10) != e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3658,c_250]) ).
tcf(c_3668,plain,
( ( op2(e21,e23) = e21 )
| ( h2(e10) != e23 ) ),
inference(light_normalisation,[status(thm)],[c_448,c_466]) ).
tcf(c_3669,plain,
h2(e10) != e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3668,c_3576]) ).
tcf(c_3670,plain,
( ( op2(e21,e22) = e21 )
| ( h2(e10) != e22 ) ),
inference(light_normalisation,[status(thm)],[c_447,c_466]) ).
tcf(c_3695,plain,
( ( e11 = e12 )
| ( op1(e12,e12) != e13 ) ),
inference(light_normalisation,[status(thm)],[c_358,c_3612]) ).
tcf(c_3696,plain,
op1(e12,e12) != e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3695,c_244]) ).
tcf(c_3714,plain,
( ( e20 = e23 )
| ( h3(e10) = e22 )
| ( h2(e10) = e21 )
| ( h1(e10) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_442,c_813,c_462,c_466,c_470]) ).
tcf(c_3715,plain,
( ( h3(e10) = e22 )
| ( h2(e10) = e21 )
| ( h1(e10) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3714,c_249]) ).
tcf(c_3725,plain,
( ( e10 = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_349,c_825]) ).
tcf(c_3726,plain,
( ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3725,c_243]) ).
tcf(c_3736,plain,
( ( e22 = e23 )
| ( e21 = e23 )
| ( e20 = e23 )
| ( op2(e21,e23) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_144,c_813,c_3119,c_3574]) ).
tcf(c_3737,plain,
op2(e21,e23) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3736,c_252,c_251,c_249]) ).
tcf(c_3743,plain,
op2(e21,e22) != e23,
inference(demodulation,[status(thm)],[c_228,c_3737]) ).
tcf(c_3745,plain,
( ( e22 = e23 )
| ( e20 = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_141,c_813,c_815]) ).
tcf(c_3746,plain,
( ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3745,c_252,c_248]) ).
tcf(c_3761,plain,
( ( h3(e10) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_136,c_470]) ).
tcf(c_3762,plain,
op2(e20,e22) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3761,c_3659,c_3529,c_3743]) ).
tcf(c_3769,plain,
( ( e21 = e23 )
| ( h3(e10) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_135,c_470,c_3574]) ).
tcf(c_3770,plain,
op2(e22,e21) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3769,c_251,c_3659,c_3553]) ).
tcf(c_3777,plain,
( ( e22 = e23 )
| ( h3(e10) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_134,c_470,c_3762]) ).
tcf(c_3778,plain,
( ( h3(e10) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3777,c_252]) ).
tcf(c_3788,plain,
( ( e22 = e23 )
| ( e21 = e22 )
| ( h3(e10) = e22 )
| ( op2(e22,e20) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_133,c_470,c_3574,c_3770]) ).
tcf(c_3789,plain,
( ( h3(e10) = e22 )
| ( op2(e22,e20) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3788,c_252,c_250]) ).
tcf(c_3796,plain,
( ( e21 = e23 )
| ( h3(e10) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_132,c_470,c_3762]) ).
tcf(c_3797,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3796,c_251,c_3580]) ).
tcf(c_3812,plain,
( ( e20 = e23 )
| ( e20 = e21 )
| ( h3(e10) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_129,c_470,c_3574,c_3770]) ).
tcf(c_3813,plain,
( ( h3(e10) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3812,c_249,c_247]) ).
tcf(c_3839,plain,
( ( e21 = e23 )
| ( h2(e10) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e20,e21) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_124,c_466,c_3770]) ).
tcf(c_3840,plain,
( ( h2(e10) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e20,e21) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3839,c_251]) ).
tcf(c_3850,plain,
( ( e21 = e23 )
| ( h2(e10) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_123,c_466,c_3737]) ).
tcf(c_3851,plain,
( ( h2(e10) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3850,c_251]) ).
tcf(c_3888,plain,
( ( e21 = e23 )
| ( h1(e10) = e21 )
| ( op2(e22,e20) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_116,c_462,c_815]) ).
tcf(c_3889,plain,
( ( h1(e10) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3888,c_251,c_3578]) ).
tcf(c_3923,plain,
( ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111,c_3529,c_3526]) ).
tcf(c_3937,plain,
( ( h3(e10) = e23 )
| ( h3(e10) = e22 )
| ( h3(e10) = e21 )
| ( h3(e10) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_107,c_470]) ).
tcf(c_3938,plain,
( ( h3(e10) = e22 )
| ( h3(e10) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3937,c_3659,c_3580]) ).
tcf(c_3962,plain,
( ( h2(e10) = e23 )
| ( h2(e10) = e22 )
| ( h2(e10) = e21 )
| ( h2(e10) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_102,c_466]) ).
tcf(c_3963,plain,
( ( h2(e10) = e22 )
| ( h2(e10) = e21 )
| ( h2(e10) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3962,c_3669]) ).
tcf(c_3990,plain,
( ( h1(e10) = e23 )
| ( h1(e10) = e22 )
| ( h1(e10) = e21 )
| ( h1(e10) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_97,c_462]) ).
tcf(c_3991,plain,
( ( h1(e10) = e21 )
| ( h1(e10) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3990,c_3555,c_3539]) ).
tcf(c_3998,plain,
( ( e12 = e13 )
| ( e11 = e13 )
| ( e10 = e13 )
| ( op1(e11,e13) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_96,c_825,c_3120,c_3612]) ).
tcf(c_3999,plain,
op1(e11,e13) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3998,c_246,c_245,c_243]) ).
tcf(c_4005,plain,
op1(e11,e12) != e13,
inference(demodulation,[status(thm)],[c_180,c_3999]) ).
tcf(c_4007,plain,
( ( e12 = e13 )
| ( e10 = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_93,c_825,c_827]) ).
tcf(c_4008,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4007,c_246,c_242]) ).
tcf(c_4023,plain,
op1(e10,e12) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_88,c_3561,c_3696,c_4005]) ).
tcf(c_4030,plain,
( ( e11 = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_87,c_3612]) ).
tcf(c_4031,plain,
op1(e12,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_4030,c_245,c_3696,c_3571]) ).
tcf(c_4049,plain,
( ( e12 = e13 )
| ( e11 = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e10) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_85,c_3612,c_4031]) ).
tcf(c_4050,plain,
( ( op1(e12,e12) = e12 )
| ( op1(e12,e10) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4049,c_246,c_244]) ).
tcf(c_4057,plain,
( ( e11 = e13 )
| ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_84,c_4023]) ).
tcf(c_4058,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e11,e12) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4057,c_245,c_3618]) ).
tcf(c_4073,plain,
( ( e10 = e13 )
| ( e10 = e11 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_81,c_3612,c_4031]) ).
tcf(c_4074,plain,
( ( op1(e12,e12) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4073,c_243,c_241]) ).
tcf(c_4089,plain,
( ( e12 = e13 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e10) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_77,c_3999]) ).
tcf(c_4090,plain,
( ( op1(e11,e12) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e10) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4089,c_246]) ).
tcf(c_4122,plain,
( ( e10 = e13 )
| ( op1(e13,e11) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_74,c_4031]) ).
tcf(c_4123,plain,
( ( op1(e11,e11) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4122,c_243,c_3559]) ).
tcf(c_4149,plain,
( ( e11 = e13 )
| ( op1(e12,e10) = e11 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_68,c_827]) ).
tcf(c_4150,plain,
( ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4149,c_245,c_3616]) ).
tcf(c_4157,plain,
( ( e11 = e13 )
| ( e11 = e12 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_67,c_3120,c_4023]) ).
tcf(c_4158,plain,
( ( op1(e10,e11) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4157,c_245,c_244]) ).
tcf(c_4184,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63,c_3561,c_3558]) ).
tcf(c_4205,plain,
( ( op1(e12,e10) = e12 )
| ( op1(e12,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57,c_3571,c_3616]) ).
tcf(c_4249,plain,
( ( op1(e10,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49,c_3573,c_3565]) ).
tcf(c_4458,plain,
( sP33
| sP35
| ( h3(e12) != h3(e12) )
| ( h3(e11) != h3(e11) )
| ( h3(e10) != e20 )
| ( h3(e10) != h3(e10) )
| ( op2(e22,h3(e12)) != h3(op1(e13,e12)) )
| ( op2(e22,h3(e11)) != h3(op1(e13,e11)) )
| ( op2(e22,h3(e10)) != e22 )
| ( op2(h3(e11),e22) != e22 )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e11)) != e22 )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( 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(e12)) != e22 )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
inference(light_normalisation,[status(thm)],[c_856,c_825,c_469,c_470,c_827,c_3120,c_3453,c_3612,c_3653,c_3999,c_4023,c_4031]) ).
tcf(c_4459,plain,
( sP33
| sP35
| ( h3(e10) != e20 )
| ( op2(e22,h3(e12)) != h3(op1(e13,e12)) )
| ( op2(e22,h3(e11)) != h3(op1(e13,e11)) )
| ( op2(e22,h3(e10)) != e22 )
| ( op2(h3(e11),e22) != e22 )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e11)) != e22 )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( 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(e12)) != e22 )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
inference(equality_resolution_simp,[status(thm)],[c_4458]) ).
tcf(c_10706,definition,
iPr_def_10 = op1(e10,e10),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_10709,definition,
iPr_def_13 = op1(e10,e11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_10712,definition,
iPr_def_16 = op1(e11,e10),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_10715,definition,
iPr_def_19 = op1(e11,e11),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_10718,definition,
iPr_def_22 = op1(e11,e12),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_10721,definition,
iPr_def_25 = op1(e12,e10),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_10724,definition,
iPr_def_28 = op1(e12,e12),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_10726,definition,
iPr_def_30 = h3(e10),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_10727,definition,
iPr_def_31 = op1(e13,e11),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_10730,definition,
iPr_def_34 = op1(e13,e12),
introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).
tcf(c_10733,definition,
iPr_def_37 = op2(iPr_def_30,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_37])],[]) ).
tcf(c_10734,definition,
iPr_def_38 = h3(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_38])],[]) ).
tcf(c_10735,definition,
iPr_def_39 = h3(e11),
introduced(definition,[new_symbols(definition,[iPr_def_39])],[]) ).
tcf(c_10736,definition,
iPr_def_40 = op2(iPr_def_30,iPr_def_39),
introduced(definition,[new_symbols(definition,[iPr_def_40])],[]) ).
tcf(c_10737,definition,
iPr_def_41 = h3(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_41])],[]) ).
tcf(c_10738,definition,
iPr_def_42 = h3(e12),
introduced(definition,[new_symbols(definition,[iPr_def_42])],[]) ).
tcf(c_10739,definition,
iPr_def_43 = op2(iPr_def_30,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_43])],[]) ).
tcf(c_10740,definition,
iPr_def_44 = op2(iPr_def_39,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_44])],[]) ).
tcf(c_10741,definition,
iPr_def_45 = h3(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_45])],[]) ).
tcf(c_10742,definition,
iPr_def_46 = op2(iPr_def_39,iPr_def_39),
introduced(definition,[new_symbols(definition,[iPr_def_46])],[]) ).
tcf(c_10743,definition,
iPr_def_47 = h3(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_47])],[]) ).
tcf(c_10744,definition,
iPr_def_48 = op2(iPr_def_39,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_48])],[]) ).
tcf(c_10745,definition,
iPr_def_49 = h3(iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_49])],[]) ).
tcf(c_10746,definition,
iPr_def_50 = op2(iPr_def_42,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_50])],[]) ).
tcf(c_10747,definition,
iPr_def_51 = h3(iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_51])],[]) ).
tcf(c_10748,definition,
iPr_def_52 = op2(iPr_def_42,iPr_def_39),
introduced(definition,[new_symbols(definition,[iPr_def_52])],[]) ).
tcf(c_10749,definition,
iPr_def_53 = op2(iPr_def_42,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_53])],[]) ).
tcf(c_10750,definition,
iPr_def_54 = h3(iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_54])],[]) ).
tcf(c_10751,definition,
iPr_def_55 = op2(iPr_def_39,e22),
introduced(definition,[new_symbols(definition,[iPr_def_55])],[]) ).
tcf(c_10752,definition,
iPr_def_56 = op2(e22,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_56])],[]) ).
tcf(c_10753,definition,
iPr_def_57 = op2(e22,iPr_def_39),
introduced(definition,[new_symbols(definition,[iPr_def_57])],[]) ).
tcf(c_10754,definition,
iPr_def_58 = h3(iPr_def_31),
introduced(definition,[new_symbols(definition,[iPr_def_58])],[]) ).
tcf(c_10755,definition,
iPr_def_59 = op2(e22,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_59])],[]) ).
tcf(c_10756,definition,
iPr_def_60 = h3(iPr_def_34),
introduced(definition,[new_symbols(definition,[iPr_def_60])],[]) ).
tcf(c_10808,plain,
( sP33
| sP35
| ( iPr_def_59 != iPr_def_60 )
| ( iPr_def_57 != iPr_def_58 )
| ( iPr_def_56 != e22 )
| ( iPr_def_55 != e22 )
| ( iPr_def_53 != iPr_def_54 )
| ( iPr_def_52 != e22 )
| ( iPr_def_50 != iPr_def_51 )
| ( iPr_def_48 != iPr_def_49 )
| ( iPr_def_46 != iPr_def_47 )
| ( iPr_def_44 != iPr_def_45 )
| ( iPr_def_43 != e22 )
| ( iPr_def_40 != iPr_def_41 )
| ( iPr_def_37 != iPr_def_38 )
| ( iPr_def_30 != e20 ) ),
inference(demodulation,[status(thm)],[c_4459]) ).
fof(f21,definition,
( ~ sP0
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP1
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP2
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ~ sP3
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ~ sP4
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP5
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP6
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ~ sP7
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ~ sP8
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP9
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP10
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP11
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ~ sP12
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ~ sP13
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP14
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f36,plain,
( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,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,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ~ sP16
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ~ sP17
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ~ sP18
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ~ sP19
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ~ sP20
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ~ sP21
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ~ sP22
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ~ sP23
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ~ sP24
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ~ sP25
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ~ sP26
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ~ sP27
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ~ sP28
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ~ sP29
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f52,plain,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
inference(definition_folding,[],[f11,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,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f95,plain,
( ~ sP15
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f402,plain,
( ~ sP0
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f80]) ).
fof(f499,plain,
( ~ sP15
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_339,plain,
( ( op1(e13,e13) = e13 )
| ~ sP0 ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_432,plain,
( ( op2(e23,e23) = e23 )
| ~ sP15 ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_565,plain,
~ sP15,
inference(global_subsumption_just,[status(thm)],[c_432,c_432,c_436]) ).
tcf(c_577,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_339,c_339,c_343]) ).
tcf(c_797,plain,
( sP21
| sP22
| sP23
| sP24
| sP26
| sP19
| sP18
| sP17
| sP16 ),
inference(global_subsumption_just,[status(thm)],[c_437,c_458,c_452,c_376,c_371,c_366,c_441,c_565,c_567,c_569]) ).
tcf(c_798,plain,
( sP16
| sP17
| sP18
| sP19
| sP21
| sP22
| sP23
| sP24
| sP26 ),
inference(renaming,[status(thm)],[c_797]) ).
tcf(c_799,plain,
( sP6
| sP7
| sP8
| sP9
| sP11
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_344,c_455,c_359,c_283,c_278,c_273,c_348,c_577,c_579,c_581]) ).
tcf(c_800,plain,
( sP1
| sP2
| sP3
| sP4
| sP6
| sP7
| sP8
| sP9
| sP11 ),
inference(renaming,[status(thm)],[c_799]) ).
tcf(c_833,plain,
( sP21
| sP22
| sP23
| sP24
| sP26
| sP19
| sP18
| sP17
| sP16 ),
inference(global_subsumption_just,[status(thm)],[c_439,c_798]) ).
tcf(c_834,plain,
( sP16
| sP17
| sP18
| sP19
| sP21
| sP22
| sP23
| sP24
| sP26 ),
inference(renaming,[status(thm)],[c_833]) ).
tcf(c_839,plain,
( sP6
| sP7
| sP8
| sP9
| sP11
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_346,c_800]) ).
tcf(c_840,plain,
( sP1
| sP2
| sP3
| sP4
| sP6
| sP7
| sP8
| sP9
| sP11 ),
inference(renaming,[status(thm)],[c_839]) ).
tcf(c_3189,plain,
( sP1
| sP2
| sP4
| sP6
| sP7
| sP8
| sP9
| sP11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_840,c_3164]) ).
tcf(c_3214,plain,
( sP16
| sP17
| sP19
| sP21
| sP22
| sP23
| sP24
| sP26 ),
inference(forward_subsumption_resolution,[status(thm)],[c_834,c_3130]) ).
tcf(c_3583,plain,
( sP16
| sP17
| sP21
| sP22
| sP23
| sP24
| sP26 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3214,c_3582]) ).
tcf(c_3599,plain,
( sP16
| sP17
| sP22
| sP23
| sP24
| sP26 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3583,c_3598]) ).
tcf(c_3621,plain,
( sP1
| sP2
| sP6
| sP7
| sP8
| sP9
| sP11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3189,c_3620]) ).
tcf(c_3637,plain,
( sP1
| sP2
| sP7
| sP8
| sP9
| sP11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3621,c_3636]) ).
tcf(c_4656,plain,
( sP1
| sP7
| sP8
| sP9
| sP11
| ( op1(e13,e11) = e11 ) ),
inference(resolution,[status(thm)],[c_3637,c_329]) ).
tcf(c_4681,plain,
( sP7
| sP8
| sP9
| sP11
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e11 ) ),
inference(resolution,[status(thm)],[c_4656,c_334]) ).
tcf(c_4706,plain,
( sP16
| sP22
| sP23
| sP24
| sP26
| ( op2(e23,e21) = e21 ) ),
inference(resolution,[status(thm)],[c_3599,c_422]) ).
tcf(c_4731,plain,
( sP22
| sP23
| sP24
| sP26
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e21 ) ),
inference(resolution,[status(thm)],[c_4706,c_427]) ).
tcf(c_12012,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_10808,c_10756,c_10755,c_10754,c_10753,c_10752,c_10751,c_10750,c_10749,c_10748,c_10747,c_10746,c_10745,c_10744,c_10743,c_10742,c_10741,c_10740,c_10739,c_10738,c_10737,c_10736,c_10735,c_10734,c_10733,c_10730,c_10727,c_10726,c_10724,c_10721,c_10718,c_10715,c_10712,c_10709,c_10706,c_4731,c_4681,c_4249,c_4205,c_4184,c_4158,c_4150,c_4123,c_4090,c_4074,c_4058,c_4050,c_4008,c_3991,c_3963,c_3938,c_3923,c_3889,c_3851,c_3840,c_3813,c_3797,c_3789,c_3778,c_3770,c_3762,c_3746,c_3737,c_3726,c_3715,c_3670,c_3653,c_3574,c_3556,c_3548,c_3547,c_3535,c_3533,c_3493,c_3486,c_3479,c_3472,c_3453,c_3347,c_3119,c_777,c_765,c_759,c_815,c_511,c_502,c_466,c_462,c_458,c_397,c_387,c_377,c_354,c_307,c_304,c_250,c_248,c_247,c_244,c_242,c_241,c_238,c_224,c_209,c_196,c_190,c_178,c_176,c_169,c_162,c_161,c_146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG123+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 04:52:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.17/1.70 % SZS status Started for theBenchmark.p
% 1.17/1.70 % SZS status Theorem for theBenchmark.p
% 1.17/1.70
% 1.17/1.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.70
% 1.17/1.70 % ------ iProver source info
% 1.17/1.70
% 1.17/1.70 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.70 % git: non_committed_changes: false
% 1.17/1.70
% 1.17/1.70 % ------ Parsing...
% 1.17/1.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.17/1.70
% 1.17/1.70 % ------ Preprocessing... sup_sim: 354 sf_s rm: 23 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.17/1.70
% 1.17/1.70 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.17/1.70
% 1.17/1.70 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.17/1.70 % ------ Proving...
% 1.17/1.70 % ------ Problem Properties
% 1.17/1.70
% 1.17/1.70 %
% 1.17/1.70 % clauses 329
% 1.17/1.70 % conjectures 0
% 1.17/1.70 % EPR 36
% 1.17/1.70 % Horn 264
% 1.17/1.70 % unary 217
% 1.17/1.70 % binary 82
% 1.17/1.70 % lits 574
% 1.17/1.70 % lits eq 513
% 1.17/1.70 % fd_pure 0
% 1.17/1.70 % fd_pseudo 0
% 1.17/1.70 % fd_cond 0
% 1.17/1.70 % fd_pseudo_cond 0
% 1.17/1.70 % AC symbols 0
% 1.17/1.70
% 1.17/1.70 % ------ Schedule dynamic 5 is on
% 1.17/1.70
% 1.17/1.70 % ------ no conjectures: strip conj schedule
% 1.17/1.70
% 1.17/1.70 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.17/1.70
% 1.17/1.70
% 1.17/1.70 % ------
% 1.17/1.70 % Current options:
% 1.17/1.70 % ------
% 1.17/1.70
% 1.17/1.70
% 1.17/1.70 %
% 1.17/1.70
% 1.17/1.70 % ------ Proving...
% 1.17/1.70 %
% 1.17/1.70
% 1.17/1.70 % SZS status Theorem for theBenchmark.p
% 1.17/1.70
% 1.17/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.17/1.72
% 1.17/1.72
%------------------------------------------------------------------------------