%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG037+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 : n020.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 12:53:14 PM UTC 2026
% Result : Theorem 3.36s 1.71s
% Output : CNFRefutation 3.36s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f75ERROR: Could not build tree for root c_4911ERROR: 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,
( ( unit1 = e13
| unit1 = e12
| unit1 = e11
| unit1 = e10 )
& op1(e13,unit1) = e13
& op1(unit1,e13) = e13
& op1(e12,unit1) = e12
& op1(unit1,e12) = e12
& op1(e11,unit1) = e11
& op1(unit1,e11) = e11
& op1(e10,unit1) = e10
& op1(unit1,e10) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,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',ax3) ).
fof(f5,axiom,
( ( unit2 = e23
| unit2 = e22
| unit2 = e21
| unit2 = e20 )
& op2(e23,unit2) = e23
& op2(unit2,e23) = e23
& op2(e22,unit2) = e22
& op2(unit2,e22) = e22
& op2(e21,unit2) = e21
& op2(unit2,e21) = e21
& op2(e20,unit2) = e20
& op2(unit2,e20) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,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',ax6) ).
fof(f7,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',ax7) ).
fof(f8,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',ax8) ).
fof(f9,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f10,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f12,axiom,
( ( op1(e13,e13) = e13
& op1(e12,e12) = e13
& op1(e11,e11) = e13
& op1(e10,e10) = e13 )
| ( op1(e13,e13) = e12
& op1(e12,e12) = e12
& op1(e11,e11) = e12
& op1(e10,e10) = e12 )
| ( op1(e13,e13) = e11
& op1(e12,e12) = e11
& op1(e11,e11) = e11
& op1(e10,e10) = e11 )
| ( op1(e13,e13) = e10
& op1(e12,e12) = e10
& op1(e11,e11) = e10
& op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( ( op2(e23,e23) = e23
& op2(e22,e22) = e23
& op2(e21,e21) = e23
& op2(e20,e20) = e23 )
| ( op2(e23,e23) = e22
& op2(e22,e22) = e22
& op2(e21,e21) = e22
& op2(e20,e20) = e22 )
| ( op2(e23,e23) = e21
& op2(e22,e22) = e21
& op2(e21,e21) = e21
& op2(e20,e20) = e21 )
| ( op2(e23,e23) = e20
& op2(e22,e22) = e20
& op2(e21,e21) = e20
& op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( e12 = op1(e13,e11)
& e10 = op1(e11,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( e22 = op2(e23,e21)
& e20 = op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f17,axiom,
( h2(e12) = op2(e22,e20)
& h2(e10) = op2(e20,e20)
& h2(e13) = e22
& h2(e11) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
( h3(e12) = op2(e23,e20)
& h3(e10) = op2(e20,e20)
& h3(e13) = e23
& h3(e11) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
( h4(e12) = op2(e20,e21)
& h4(e10) = op2(e21,e21)
& h4(e13) = e20
& h4(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
( h5(e12) = op2(e22,e21)
& h5(e10) = op2(e21,e21)
& h5(e13) = e22
& h5(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
( h6(e12) = op2(e23,e21)
& h6(e10) = op2(e21,e21)
& h6(e13) = e23
& h6(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f22,axiom,
( h7(e12) = op2(e20,e22)
& h7(e10) = op2(e22,e22)
& h7(e13) = e20
& h7(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
( h8(e12) = op2(e21,e22)
& h8(e10) = op2(e22,e22)
& h8(e13) = e21
& h8(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
( h9(e12) = op2(e23,e22)
& h9(e10) = op2(e22,e22)
& h9(e13) = e23
& h9(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
( h10(e12) = op2(e20,e23)
& h10(e10) = op2(e23,e23)
& h10(e13) = e20
& h10(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
( h11(e12) = op2(e21,e23)
& h11(e10) = op2(e23,e23)
& h11(e13) = e21
& h11(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f27,axiom,
( h12(e12) = op2(e22,e23)
& h12(e10) = op2(e23,e23)
& h12(e13) = e22
& h12(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f76,plain,
( ~ sP2
| ( op1(e13,e13) = e11
& op1(e12,e12) = e11
& op1(e11,e11) = e11
& op1(e10,e10) = e11 ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f77,plain,
( ~ sP1
| ( op1(e13,e13) = e12
& op1(e12,e12) = e12
& op1(e11,e11) = e12
& op1(e10,e10) = e12 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f79,plain,
( ~ sP5
| ( op2(e23,e23) = e21
& op2(e22,e22) = e21
& op2(e21,e21) = e21
& op2(e20,e20) = e21 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f80,plain,
( ~ sP4
| ( op2(e23,e23) = e22
& op2(e22,e22) = e22
& op2(e21,e21) = e22
& op2(e20,e20) = e22 ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f97,plain,
( ~ sP26
| ( e21 != h6(e13)
& e21 != h6(e12)
& e21 != h6(e11)
& e21 != h6(e10) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f98,plain,
( ~ sP25
| ( e22 != h6(e13)
& e22 != h6(e12)
& e22 != h6(e11)
& e22 != h6(e10) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f99,plain,
( ~ sP24
| ( e23 != h6(e13)
& e23 != h6(e12)
& e23 != h6(e11)
& e23 != h6(e10) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f119,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f122,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f134,plain,
( e13 = unit1
| e12 = unit1
| e11 = unit1
| e10 = unit1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
e13 = op1(e13,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
e13 = op1(unit1,e13),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
e12 = op1(e12,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f138,plain,
e12 = op1(unit1,e12),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
e11 = op1(e11,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
e11 = op1(unit1,e11),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f3]) ).
fof(f191,plain,
( e23 = unit2
| e22 = unit2
| e21 = unit2
| e20 = unit2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
e23 = op2(e23,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f193,plain,
e23 = op2(unit2,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
e22 = op2(e22,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f195,plain,
e22 = op2(unit2,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f196,plain,
e21 = op2(e21,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
e21 = op2(unit2,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f205,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f6]) ).
fof(f208,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f6]) ).
fof(f213,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f6]) ).
fof(f216,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f6]) ).
fof(f232,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f233,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f234,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f236,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f241,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f250,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f251,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f256,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f260,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f281,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f284,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f289,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f298,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f299,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f320,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f328,plain,
e12 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f331,plain,
e10 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f332,plain,
e10 != e12,
inference(cnf_transformation,[],[f9]) ).
fof(f333,plain,
e10 != e11,
inference(cnf_transformation,[],[f9]) ).
fof(f334,plain,
e22 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f335,plain,
e21 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f336,plain,
e21 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f337,plain,
e20 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f338,plain,
e20 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f339,plain,
e20 != e21,
inference(cnf_transformation,[],[f10]) ).
fof(f358,plain,
( ~ sP2
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f76]) ).
fof(f360,plain,
( ~ sP1
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f77]) ).
fof(f368,plain,
( sP0
| sP1
| sP2
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f34]) ).
fof(f369,plain,
( sP0
| sP1
| sP2
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f34]) ).
fof(f371,plain,
( sP0
| sP1
| sP2
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f34]) ).
fof(f374,plain,
( ~ sP5
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f79]) ).
fof(f376,plain,
( ~ sP4
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f80]) ).
fof(f384,plain,
( sP3
| sP4
| sP5
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f38]) ).
fof(f385,plain,
( sP3
| sP4
| sP5
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f38]) ).
fof(f387,plain,
( sP3
| sP4
| sP5
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f38]) ).
fof(f388,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f14]) ).
fof(f389,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f14]) ).
fof(f390,plain,
e22 = op2(e23,e21),
inference(cnf_transformation,[],[f15]) ).
fof(f391,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[],[f15]) ).
fof(f396,plain,
op2(e22,e20) = h2(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f400,plain,
op2(e23,e20) = h3(e12),
inference(cnf_transformation,[],[f18]) ).
fof(f404,plain,
op2(e20,e21) = h4(e12),
inference(cnf_transformation,[],[f19]) ).
fof(f408,plain,
op2(e22,e21) = h5(e12),
inference(cnf_transformation,[],[f20]) ).
fof(f409,plain,
op2(e21,e21) = h5(e10),
inference(cnf_transformation,[],[f20]) ).
fof(f410,plain,
e22 = h5(e13),
inference(cnf_transformation,[],[f20]) ).
fof(f412,plain,
op2(e23,e21) = h6(e12),
inference(cnf_transformation,[],[f21]) ).
fof(f413,plain,
op2(e21,e21) = h6(e10),
inference(cnf_transformation,[],[f21]) ).
fof(f414,plain,
e23 = h6(e13),
inference(cnf_transformation,[],[f21]) ).
fof(f415,plain,
e21 = h6(e11),
inference(cnf_transformation,[],[f21]) ).
fof(f416,plain,
op2(e20,e22) = h7(e12),
inference(cnf_transformation,[],[f22]) ).
fof(f420,plain,
op2(e21,e22) = h8(e12),
inference(cnf_transformation,[],[f23]) ).
fof(f424,plain,
op2(e23,e22) = h9(e12),
inference(cnf_transformation,[],[f24]) ).
fof(f425,plain,
op2(e22,e22) = h9(e10),
inference(cnf_transformation,[],[f24]) ).
fof(f428,plain,
op2(e20,e23) = h10(e12),
inference(cnf_transformation,[],[f25]) ).
fof(f432,plain,
op2(e21,e23) = h11(e12),
inference(cnf_transformation,[],[f26]) ).
fof(f436,plain,
op2(e22,e23) = h12(e12),
inference(cnf_transformation,[],[f27]) ).
fof(f437,plain,
op2(e23,e23) = h12(e10),
inference(cnf_transformation,[],[f27]) ).
fof(f502,plain,
( ~ sP26
| e21 != h6(e11) ),
inference(cnf_transformation,[],[f97]) ).
fof(f505,plain,
( ~ sP25
| e22 != h6(e12) ),
inference(cnf_transformation,[],[f98]) ).
fof(f508,plain,
( ~ sP24
| e23 != h6(e13) ),
inference(cnf_transformation,[],[f99]) ).
fof(f611,plain,
( sP24
| sP25
| sP26
| e20 != h6(e10)
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_60,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_63,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e12) = e10 ) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_67,plain,
op1(unit1,e11) = e11,
inference(cnf_transformation,[],[f140]) ).
tcf(c_68,plain,
op1(e11,unit1) = e11,
inference(cnf_transformation,[],[f139]) ).
tcf(c_69,plain,
op1(unit1,e12) = e12,
inference(cnf_transformation,[],[f138]) ).
tcf(c_70,plain,
op1(e12,unit1) = e12,
inference(cnf_transformation,[],[f137]) ).
tcf(c_71,plain,
op1(unit1,e13) = e13,
inference(cnf_transformation,[],[f136]) ).
tcf(c_72,plain,
op1(e13,unit1) = e13,
inference(cnf_transformation,[],[f135]) ).
tcf(c_73,plain,
( ( e13 = unit1 )
| ( e12 = unit1 )
| ( e11 = unit1 )
| ( e10 = unit1 ) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_89,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_97,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_103,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e12 )
| ( op1(e10,e13) = e12 ) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_124,plain,
op2(unit2,e21) = e21,
inference(cnf_transformation,[],[f197]) ).
tcf(c_125,plain,
op2(e21,unit2) = e21,
inference(cnf_transformation,[],[f196]) ).
tcf(c_126,plain,
op2(unit2,e22) = e22,
inference(cnf_transformation,[],[f195]) ).
tcf(c_127,plain,
op2(e22,unit2) = e22,
inference(cnf_transformation,[],[f194]) ).
tcf(c_128,plain,
op2(unit2,e23) = e23,
inference(cnf_transformation,[],[f193]) ).
tcf(c_129,plain,
op2(e23,unit2) = e23,
inference(cnf_transformation,[],[f192]) ).
tcf(c_130,plain,
( ( e23 = unit2 )
| ( e22 = unit2 )
| ( e21 = unit2 )
| ( e20 = unit2 ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_146,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_149,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_154,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_157,plain,
( ( op2(e23,e23) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e20) = e21 ) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_160,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e20,e23) = e22 ) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_182,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f260]) ).
tcf(c_186,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f256]) ).
tcf(c_191,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f251]) ).
tcf(c_192,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f250]) ).
tcf(c_201,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f241]) ).
tcf(c_206,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f236]) ).
tcf(c_208,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f234]) ).
tcf(c_209,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f233]) ).
tcf(c_210,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f232]) ).
tcf(c_218,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f320]) ).
tcf(c_239,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f299]) ).
tcf(c_240,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f298]) ).
tcf(c_249,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f289]) ).
tcf(c_254,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f284]) ).
tcf(c_257,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f281]) ).
tcf(c_259,plain,
e10 != e11,
inference(cnf_transformation,[],[f333]) ).
tcf(c_260,plain,
e10 != e12,
inference(cnf_transformation,[],[f332]) ).
tcf(c_261,plain,
e10 != e13,
inference(cnf_transformation,[],[f331]) ).
tcf(c_264,plain,
e12 != e13,
inference(cnf_transformation,[],[f328]) ).
tcf(c_265,plain,
e20 != e21,
inference(cnf_transformation,[],[f339]) ).
tcf(c_266,plain,
e20 != e22,
inference(cnf_transformation,[],[f338]) ).
tcf(c_267,plain,
e20 != e23,
inference(cnf_transformation,[],[f337]) ).
tcf(c_268,plain,
e21 != e22,
inference(cnf_transformation,[],[f336]) ).
tcf(c_269,plain,
e21 != e23,
inference(cnf_transformation,[],[f335]) ).
tcf(c_270,plain,
e22 != e23,
inference(cnf_transformation,[],[f334]) ).
tcf(c_288,plain,
( ( op1(e11,e11) = e11 )
| ~ sP2 ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_294,plain,
( ( op1(e13,e13) = e12 )
| ~ sP1 ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_299,plain,
( sP0
| sP1
| sP2
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_301,plain,
( sP0
| sP1
| sP2
| ( op1(e12,e12) = e10 ) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_302,plain,
( sP0
| sP1
| sP2
| ( op1(e13,e13) = e10 ) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_304,plain,
( ( op2(e21,e21) = e21 )
| ~ sP5 ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_310,plain,
( ( op2(e23,e23) = e22 )
| ~ sP4 ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_315,plain,
( sP3
| sP4
| sP5
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_317,plain,
( sP3
| sP4
| sP5
| ( op2(e22,e22) = e20 ) ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_318,plain,
( sP3
| sP4
| sP5
| ( op2(e23,e23) = e20 ) ),
inference(cnf_transformation,[],[f384]) ).
tcf(c_319,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[],[f389]) ).
tcf(c_320,plain,
op1(e13,e11) = e12,
inference(cnf_transformation,[],[f388]) ).
tcf(c_321,plain,
op2(e21,e21) = e20,
inference(cnf_transformation,[],[f391]) ).
tcf(c_322,plain,
op2(e23,e21) = e22,
inference(cnf_transformation,[],[f390]) ).
tcf(c_330,plain,
op2(e22,e20) = h2(e12),
inference(cnf_transformation,[],[f396]) ).
tcf(c_334,plain,
op2(e23,e20) = h3(e12),
inference(cnf_transformation,[],[f400]) ).
tcf(c_338,plain,
op2(e20,e21) = h4(e12),
inference(cnf_transformation,[],[f404]) ).
tcf(c_340,plain,
h5(e13) = e22,
inference(cnf_transformation,[],[f410]) ).
tcf(c_341,plain,
op2(e21,e21) = h5(e10),
inference(cnf_transformation,[],[f409]) ).
tcf(c_342,plain,
op2(e22,e21) = h5(e12),
inference(cnf_transformation,[],[f408]) ).
tcf(c_343,plain,
h6(e11) = e21,
inference(cnf_transformation,[],[f415]) ).
tcf(c_344,plain,
h6(e13) = e23,
inference(cnf_transformation,[],[f414]) ).
tcf(c_345,plain,
op2(e21,e21) = h6(e10),
inference(cnf_transformation,[],[f413]) ).
tcf(c_346,plain,
op2(e23,e21) = h6(e12),
inference(cnf_transformation,[],[f412]) ).
tcf(c_350,plain,
op2(e20,e22) = h7(e12),
inference(cnf_transformation,[],[f416]) ).
tcf(c_354,plain,
op2(e21,e22) = h8(e12),
inference(cnf_transformation,[],[f420]) ).
tcf(c_357,plain,
op2(e22,e22) = h9(e10),
inference(cnf_transformation,[],[f425]) ).
tcf(c_358,plain,
op2(e23,e22) = h9(e12),
inference(cnf_transformation,[],[f424]) ).
tcf(c_362,plain,
op2(e20,e23) = h10(e12),
inference(cnf_transformation,[],[f428]) ).
tcf(c_366,plain,
op2(e21,e23) = h11(e12),
inference(cnf_transformation,[],[f432]) ).
tcf(c_369,plain,
op2(e23,e23) = h12(e10),
inference(cnf_transformation,[],[f437]) ).
tcf(c_370,plain,
op2(e22,e23) = h12(e12),
inference(cnf_transformation,[],[f436]) ).
tcf(c_432,plain,
( ~ sP26
| ( h6(e11) != e21 ) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_437,plain,
( ~ sP25
| ( h6(e12) != e22 ) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_442,plain,
( ~ sP24
| ( h6(e13) != e23 ) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_535,negated_conjecture,
( sP24
| sP25
| sP26
| ( h6(e10) != e20 )
| ( op2(h6(e13),h6(e13)) != h6(op1(e13,e13)) )
| ( op2(h6(e13),h6(e12)) != h6(op1(e13,e12)) )
| ( op2(h6(e13),h6(e11)) != h6(op1(e13,e11)) )
| ( op2(h6(e13),h6(e10)) != h6(op1(e13,e10)) )
| ( op2(h6(e12),h6(e13)) != h6(op1(e12,e13)) )
| ( op2(h6(e12),h6(e12)) != h6(op1(e12,e12)) )
| ( op2(h6(e12),h6(e11)) != h6(op1(e12,e11)) )
| ( op2(h6(e12),h6(e10)) != h6(op1(e12,e10)) )
| ( op2(h6(e11),h6(e13)) != h6(op1(e11,e13)) )
| ( op2(h6(e11),h6(e12)) != h6(op1(e11,e12)) )
| ( op2(h6(e11),h6(e11)) != h6(op1(e11,e11)) )
| ( op2(h6(e11),h6(e10)) != h6(op1(e11,e10)) )
| ( op2(h6(e10),h6(e13)) != h6(op1(e10,e13)) )
| ( op2(h6(e10),h6(e12)) != h6(op1(e10,e12)) )
| ( op2(h6(e10),h6(e11)) != h6(op1(e10,e11)) )
| ( op2(h6(e10),h6(e10)) != h6(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f611]) ).
tcf(c_789,plain,
( ( h6(e10) != e20 )
| ( op2(h6(e13),h6(e13)) != h6(op1(e13,e13)) )
| ( op2(h6(e13),h6(e12)) != h6(op1(e13,e12)) )
| ( op2(h6(e13),h6(e11)) != h6(op1(e13,e11)) )
| ( op2(h6(e13),h6(e10)) != h6(op1(e13,e10)) )
| ( op2(h6(e12),h6(e13)) != h6(op1(e12,e13)) )
| ( op2(h6(e12),h6(e12)) != h6(op1(e12,e12)) )
| ( op2(h6(e12),h6(e11)) != h6(op1(e12,e11)) )
| ( op2(h6(e12),h6(e10)) != h6(op1(e12,e10)) )
| ( op2(h6(e11),h6(e13)) != h6(op1(e11,e13)) )
| ( op2(h6(e11),h6(e12)) != h6(op1(e11,e12)) )
| ( op2(h6(e11),h6(e11)) != h6(op1(e11,e11)) )
| ( op2(h6(e11),h6(e10)) != h6(op1(e11,e10)) )
| ( op2(h6(e10),h6(e13)) != h6(op1(e10,e13)) )
| ( op2(h6(e10),h6(e12)) != h6(op1(e10,e12)) )
| ( op2(h6(e10),h6(e11)) != h6(op1(e10,e11)) )
| ( op2(h6(e10),h6(e10)) != h6(op1(e10,e10)) )
| sP25 ),
inference(global_subsumption_just,[status(thm)],[c_535,c_344,c_343,c_442,c_432,c_535]) ).
tcf(c_790,negated_conjecture,
( sP25
| ( h6(e10) != e20 )
| ( op2(h6(e13),h6(e13)) != h6(op1(e13,e13)) )
| ( op2(h6(e13),h6(e12)) != h6(op1(e13,e12)) )
| ( op2(h6(e13),h6(e11)) != h6(op1(e13,e11)) )
| ( op2(h6(e13),h6(e10)) != h6(op1(e13,e10)) )
| ( op2(h6(e12),h6(e13)) != h6(op1(e12,e13)) )
| ( op2(h6(e12),h6(e12)) != h6(op1(e12,e12)) )
| ( op2(h6(e12),h6(e11)) != h6(op1(e12,e11)) )
| ( op2(h6(e12),h6(e10)) != h6(op1(e12,e10)) )
| ( op2(h6(e11),h6(e13)) != h6(op1(e11,e13)) )
| ( op2(h6(e11),h6(e12)) != h6(op1(e11,e12)) )
| ( op2(h6(e11),h6(e11)) != h6(op1(e11,e11)) )
| ( op2(h6(e11),h6(e10)) != h6(op1(e11,e10)) )
| ( op2(h6(e10),h6(e13)) != h6(op1(e10,e13)) )
| ( op2(h6(e10),h6(e12)) != h6(op1(e10,e12)) )
| ( op2(h6(e10),h6(e11)) != h6(op1(e10,e11)) )
| ( op2(h6(e10),h6(e10)) != h6(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_789]) ).
fof(f31,definition,
( ~ sP0
| ( op1(e13,e13) = e13
& op1(e12,e12) = e13
& op1(e11,e11) = e13
& op1(e10,e10) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP1
| ( op1(e13,e13) = e12
& op1(e12,e12) = e12
& op1(e11,e11) = e12
& op1(e10,e10) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ~ sP2
| ( op1(e13,e13) = e11
& op1(e12,e12) = e11
& op1(e11,e11) = e11
& op1(e10,e10) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f34,plain,
( sP0
| sP1
| sP2
| ( op1(e13,e13) = e10
& op1(e12,e12) = e10
& op1(e11,e11) = e10
& op1(e10,e10) = e10 ) ),
inference(definition_folding,[],[f12,f33,f32,f31]) ).
fof(f35,definition,
( ~ sP3
| ( op2(e23,e23) = e23
& op2(e22,e22) = e23
& op2(e21,e21) = e23
& op2(e20,e20) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ~ sP4
| ( op2(e23,e23) = e22
& op2(e22,e22) = e22
& op2(e21,e21) = e22
& op2(e20,e20) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ~ sP5
| ( op2(e23,e23) = e21
& op2(e22,e22) = e21
& op2(e21,e21) = e21
& op2(e20,e20) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f38,plain,
( sP3
| sP4
| sP5
| ( op2(e23,e23) = e20
& op2(e22,e22) = e20
& op2(e21,e21) = e20
& op2(e20,e20) = e20 ) ),
inference(definition_folding,[],[f13,f37,f36,f35]) ).
fof(f78,plain,
( ~ sP0
| ( op1(e13,e13) = e13
& op1(e12,e12) = e13
& op1(e11,e11) = e13
& op1(e10,e10) = e13 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f81,plain,
( ~ sP3
| ( op2(e23,e23) = e23
& op2(e22,e22) = e23
& op2(e21,e21) = e23
& op2(e20,e20) = e23 ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f366,plain,
( ~ sP0
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f78]) ).
fof(f382,plain,
( ~ sP3
| e23 = op2(e21,e21) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_296,plain,
( ( op1(e11,e11) = e13 )
| ~ sP0 ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_312,plain,
( ( op2(e21,e21) = e23 )
| ~ sP3 ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_4911,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_790,c_437,c_370,c_369,c_366,c_362,c_358,c_357,c_354,c_350,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_338,c_334,c_330,c_322,c_321,c_320,c_319,c_318,c_317,c_315,c_312,c_310,c_304,c_302,c_301,c_299,c_296,c_294,c_288,c_270,c_269,c_268,c_267,c_266,c_265,c_264,c_261,c_260,c_259,c_257,c_254,c_249,c_240,c_239,c_218,c_210,c_209,c_208,c_206,c_201,c_192,c_191,c_186,c_182,c_160,c_157,c_154,c_149,c_146,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_103,c_97,c_89,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_63,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG037+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 04:36:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.36/1.71 % SZS status Started for theBenchmark.p
% 3.36/1.71 % SZS status Theorem for theBenchmark.p
% 3.36/1.71
% 3.36/1.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.36/1.71
% 3.36/1.71 % ------ iProver source info
% 3.36/1.71
% 3.36/1.71 % git: date: 2026-07-19 20:42:38 +0200
% 3.36/1.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.36/1.71 % git: non_committed_changes: false
% 3.36/1.71
% 3.36/1.71 % ------ Parsing...
% 3.36/1.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.36/1.71
% 3.36/1.71 % ------ Preprocessing... sup_sim: 0 sf_s rm: 18 0s sf_e pe_s pe_e %
% 3.36/1.71
% 3.36/1.71 % ------ Preprocessing...%
% 3.36/1.71
% 3.36/1.71 % SZS status Theorem for theBenchmark.p
% 3.36/1.71
% 3.36/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.36/1.72
% 3.36/1.72
%------------------------------------------------------------------------------