%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG038+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 12:53:15 PM UTC 2026
% Result : Theorem 2.57s 1.08s
% Output : CNFRefutation 2.57s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f37ERROR: Could not build tree for root c_3849ERROR: 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(f4,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',ax4) ).
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(f14,axiom,
( e13 = op1(e11,e11)
& e12 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,op1(e11,e11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( e23 = op2(e21,e21)
& e22 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,op2(e21,e21))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f17,axiom,
( h2(e13) = op2(e21,e21)
& h2(e12) = op2(e21,op2(e21,e21))
& h2(e10) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
( h3(e13) = op2(e22,e22)
& h3(e12) = op2(e22,op2(e22,e22))
& h3(e10) = op2(e22,op2(e22,op2(e22,e22)))
& h3(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
( h4(e13) = op2(e23,e23)
& h4(e12) = op2(e23,op2(e23,e23))
& h4(e10) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f41,plain,
( ~ sP8
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f42,plain,
( ~ sP7
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f43,plain,
( ~ sP6
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f51,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f52,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f54,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e13 = unit1
| e12 = unit1
| e11 = unit1
| e10 = unit1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f67,plain,
e13 = op1(e13,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f68,plain,
e13 = op1(unit1,e13),
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
e12 = op1(e12,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f70,plain,
e12 = op1(unit1,e12),
inference(cnf_transformation,[],[f2]) ).
fof(f71,plain,
e11 = op1(e11,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f72,plain,
e11 = op1(unit1,e11),
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
e10 = op1(e10,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f3]) ).
fof(f83,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f3]) ).
fof(f93,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f109,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f113,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f123,plain,
( e23 = unit2
| e22 = unit2
| e21 = unit2
| e20 = unit2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f124,plain,
e23 = op2(e23,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f125,plain,
e23 = op2(unit2,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
e22 = op2(e22,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
e22 = op2(unit2,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
e21 = op2(e21,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f129,plain,
e21 = op2(unit2,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
e20 = op2(e20,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f6]) ).
fof(f139,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f6]) ).
fof(f140,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f6]) ).
fof(f145,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f6]) ).
fof(f165,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f168,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f175,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f178,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f179,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f180,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f181,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f182,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f184,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f188,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f190,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f192,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f195,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f196,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f197,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f201,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f203,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f216,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f223,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f226,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f227,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f228,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f229,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f230,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f237,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f238,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f243,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f245,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f249,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f250,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f252,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f256,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f8]) ).
fof(f260,plain,
e12 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f263,plain,
e10 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f264,plain,
e10 != e12,
inference(cnf_transformation,[],[f9]) ).
fof(f265,plain,
e10 != e11,
inference(cnf_transformation,[],[f9]) ).
fof(f266,plain,
e22 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f267,plain,
e21 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f269,plain,
e20 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f270,plain,
e20 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f271,plain,
e20 != e21,
inference(cnf_transformation,[],[f10]) ).
fof(f296,plain,
e13 = op1(e11,e11),
inference(cnf_transformation,[],[f14]) ).
fof(f297,plain,
e12 = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[],[f14]) ).
fof(f298,plain,
e10 = op1(e11,op1(e11,op1(e11,e11))),
inference(cnf_transformation,[],[f14]) ).
fof(f299,plain,
e23 = op2(e21,e21),
inference(cnf_transformation,[],[f15]) ).
fof(f300,plain,
e22 = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f301,plain,
e20 = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[],[f15]) ).
fof(f306,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f307,plain,
op2(e21,op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f308,plain,
op2(e21,op2(e21,op2(e21,e21))) = h2(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f309,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f310,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f18]) ).
fof(f314,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f19]) ).
fof(f332,plain,
( ~ sP8
| e21 != h2(e11) ),
inference(cnf_transformation,[],[f41]) ).
fof(f335,plain,
( ~ sP7
| e22 != h2(e12) ),
inference(cnf_transformation,[],[f42]) ).
fof(f338,plain,
( ~ sP6
| e23 != h2(e13) ),
inference(cnf_transformation,[],[f43]) ).
fof(f377,plain,
( sP6
| sP7
| sP8
| e20 != h2(e10)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_53,plain,
( ( op1(e11,e10) = e13 )
| ( op1(e11,e10) = e12 )
| ( op1(e11,e10) = e11 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_60,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_62,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e11) = e10 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_63,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e12) = e10 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_66,plain,
op1(e10,unit1) = e10,
inference(cnf_transformation,[],[f73]) ).
tcf(c_67,plain,
op1(unit1,e11) = e11,
inference(cnf_transformation,[],[f72]) ).
tcf(c_68,plain,
op1(e11,unit1) = e11,
inference(cnf_transformation,[],[f71]) ).
tcf(c_69,plain,
op1(unit1,e12) = e12,
inference(cnf_transformation,[],[f70]) ).
tcf(c_70,plain,
op1(e12,unit1) = e12,
inference(cnf_transformation,[],[f69]) ).
tcf(c_71,plain,
op1(unit1,e13) = e13,
inference(cnf_transformation,[],[f68]) ).
tcf(c_72,plain,
op1(e13,unit1) = e13,
inference(cnf_transformation,[],[f67]) ).
tcf(c_73,plain,
( ( e13 = unit1 )
| ( e12 = unit1 )
| ( e11 = unit1 )
| ( e10 = unit1 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_87,plain,
( ( op1(e13,e11) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_90,plain,
( ( op1(e12,e13) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_97,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_98,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e13,e12) = e10 )
| ( op1(e13,e11) = e10 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_110,plain,
( ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_115,plain,
( ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e21) = e20 ) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_119,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e20 ) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_120,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e20 ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_123,plain,
op2(e20,unit2) = e20,
inference(cnf_transformation,[],[f130]) ).
tcf(c_124,plain,
op2(unit2,e21) = e21,
inference(cnf_transformation,[],[f129]) ).
tcf(c_125,plain,
op2(e21,unit2) = e21,
inference(cnf_transformation,[],[f128]) ).
tcf(c_126,plain,
op2(unit2,e22) = e22,
inference(cnf_transformation,[],[f127]) ).
tcf(c_127,plain,
op2(e22,unit2) = e22,
inference(cnf_transformation,[],[f126]) ).
tcf(c_128,plain,
op2(unit2,e23) = e23,
inference(cnf_transformation,[],[f125]) ).
tcf(c_129,plain,
op2(e23,unit2) = e23,
inference(cnf_transformation,[],[f124]) ).
tcf(c_130,plain,
( ( e23 = unit2 )
| ( e22 = unit2 )
| ( e21 = unit2 )
| ( e20 = unit2 ) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_149,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_154,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_155,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_159,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_171,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f203]) ).
tcf(c_173,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f201]) ).
tcf(c_177,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f197]) ).
tcf(c_178,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f196]) ).
tcf(c_179,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f195]) ).
tcf(c_182,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f192]) ).
tcf(c_184,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f190]) ).
tcf(c_186,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f188]) ).
tcf(c_190,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f184]) ).
tcf(c_192,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f182]) ).
tcf(c_193,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f181]) ).
tcf(c_194,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f180]) ).
tcf(c_195,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f179]) ).
tcf(c_196,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f178]) ).
tcf(c_199,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f175]) ).
tcf(c_206,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f168]) ).
tcf(c_209,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f165]) ).
tcf(c_214,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f256]) ).
tcf(c_218,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f252]) ).
tcf(c_220,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f250]) ).
tcf(c_221,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f249]) ).
tcf(c_225,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f245]) ).
tcf(c_227,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f243]) ).
tcf(c_232,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f238]) ).
tcf(c_233,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f237]) ).
tcf(c_240,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f230]) ).
tcf(c_241,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f229]) ).
tcf(c_242,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f228]) ).
tcf(c_243,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f227]) ).
tcf(c_244,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f226]) ).
tcf(c_247,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f223]) ).
tcf(c_254,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f216]) ).
tcf(c_259,plain,
e10 != e11,
inference(cnf_transformation,[],[f265]) ).
tcf(c_260,plain,
e10 != e12,
inference(cnf_transformation,[],[f264]) ).
tcf(c_261,plain,
e10 != e13,
inference(cnf_transformation,[],[f263]) ).
tcf(c_264,plain,
e12 != e13,
inference(cnf_transformation,[],[f260]) ).
tcf(c_265,plain,
e20 != e21,
inference(cnf_transformation,[],[f271]) ).
tcf(c_266,plain,
e20 != e22,
inference(cnf_transformation,[],[f270]) ).
tcf(c_267,plain,
e20 != e23,
inference(cnf_transformation,[],[f269]) ).
tcf(c_269,plain,
e21 != e23,
inference(cnf_transformation,[],[f267]) ).
tcf(c_270,plain,
e22 != e23,
inference(cnf_transformation,[],[f266]) ).
tcf(c_295,plain,
op1(e11,op1(e11,op1(e11,e11))) = e10,
inference(cnf_transformation,[],[f298]) ).
tcf(c_296,plain,
op1(e11,op1(e11,e11)) = e12,
inference(cnf_transformation,[],[f297]) ).
tcf(c_297,plain,
op1(e11,e11) = e13,
inference(cnf_transformation,[],[f296]) ).
tcf(c_298,plain,
op2(e21,op2(e21,op2(e21,e21))) = e20,
inference(cnf_transformation,[],[f301]) ).
tcf(c_299,plain,
op2(e21,op2(e21,e21)) = e22,
inference(cnf_transformation,[],[f300]) ).
tcf(c_300,plain,
op2(e21,e21) = e23,
inference(cnf_transformation,[],[f299]) ).
tcf(c_305,plain,
h2(e11) = e21,
inference(cnf_transformation,[],[f309]) ).
tcf(c_306,plain,
op2(e21,op2(e21,op2(e21,e21))) = h2(e10),
inference(cnf_transformation,[],[f308]) ).
tcf(c_307,plain,
op2(e21,op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f307]) ).
tcf(c_308,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f306]) ).
tcf(c_312,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f310]) ).
tcf(c_316,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f314]) ).
tcf(c_330,plain,
( ~ sP8
| ( h2(e11) != e21 ) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_335,plain,
( ~ sP7
| ( h2(e12) != e22 ) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_340,plain,
( ~ sP6
| ( h2(e13) != e23 ) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_369,negated_conjecture,
( sP6
| sP7
| sP8
| ( h2(e10) != e20 )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_443,plain,
( sP6
| sP7
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( h2(e10) != e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_369,c_305,c_330,c_369]) ).
tcf(c_444,negated_conjecture,
( sP6
| sP7
| ( h2(e10) != e20 )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_443]) ).
tcf(c_3849,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_444,c_340,c_335,c_316,c_312,c_308,c_307,c_306,c_305,c_300,c_299,c_298,c_297,c_296,c_295,c_270,c_269,c_267,c_266,c_265,c_264,c_261,c_260,c_259,c_254,c_247,c_244,c_243,c_242,c_241,c_240,c_233,c_232,c_227,c_225,c_221,c_220,c_218,c_214,c_209,c_206,c_199,c_196,c_195,c_194,c_193,c_192,c_190,c_186,c_184,c_182,c_179,c_178,c_177,c_173,c_171,c_159,c_155,c_154,c_149,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_120,c_119,c_115,c_110,c_98,c_97,c_90,c_87,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_63,c_62,c_60,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG038+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 04:37:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 2.57/1.08 % SZS status Started for theBenchmark.p
% 2.57/1.08 % SZS status Theorem for theBenchmark.p
% 2.57/1.08
% 2.57/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.57/1.08
% 2.57/1.08 % ------ iProver source info
% 2.57/1.08
% 2.57/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 2.57/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.57/1.08 % git: non_committed_changes: false
% 2.57/1.08
% 2.57/1.08 % ------ Parsing...
% 2.57/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.57/1.08
% 2.57/1.08 % ------ Preprocessing... sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 2.57/1.08
% 2.57/1.08 % ------ Preprocessing...%
% 2.57/1.08
% 2.57/1.08 % SZS status Theorem for theBenchmark.p
% 2.57/1.08
% 2.57/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.57/1.09
% 2.57/1.09
%------------------------------------------------------------------------------