%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG113+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 : n011.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 12:53:29 PM UTC 2026
% Result : Theorem 4.11s 1.18s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f65ERROR: Could not build tree for root c_3700ERROR: 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(e12,e12) = e12
& op1(e11,e11) = e11
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( op2(e23,e23) = e23
& op2(e22,e22) = e22
& op2(e21,e21) = e21
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e11 = op1(op1(e12,e13),e13)
& e10 = op1(e12,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e21 = op2(op2(e22,e23),e23)
& e20 = op2(e22,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e11) = op2(op2(e20,e21),e21)
& h1(e10) = op2(e20,e21)
& h1(e13) = e21
& h1(e12) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e11) = op2(op2(e20,e22),e22)
& h2(e10) = op2(e20,e22)
& h2(e13) = e22
& h2(e12) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e11) = op2(op2(e20,e23),e23)
& h3(e10) = op2(e20,e23)
& h3(e13) = e23
& h3(e12) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e11) = op2(op2(e21,e20),e20)
& h4(e10) = op2(e21,e20)
& h4(e13) = e20
& h4(e12) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
( h5(e11) = op2(op2(e21,e22),e22)
& h5(e10) = op2(e21,e22)
& h5(e13) = e22
& h5(e12) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
( h6(e11) = op2(op2(e21,e23),e23)
& h6(e10) = op2(e21,e23)
& h6(e13) = e23
& h6(e12) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
( h7(e11) = op2(op2(e22,e20),e20)
& h7(e10) = op2(e22,e20)
& h7(e13) = e20
& h7(e12) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
( h8(e11) = op2(op2(e22,e21),e21)
& h8(e10) = op2(e22,e21)
& h8(e13) = e21
& h8(e12) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f23,axiom,
( h10(e11) = op2(op2(e23,e20),e20)
& h10(e10) = op2(e23,e20)
& h10(e13) = e20
& h10(e12) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
( h11(e11) = op2(op2(e23,e21),e21)
& h11(e10) = op2(e23,e21)
& h11(e13) = e21
& h11(e12) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
( h12(e11) = op2(op2(e23,e22),e22)
& h12(e10) = op2(e23,e22)
& h12(e13) = e22
& h12(e12) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f66,plain,
( ~ sP35
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f67,plain,
( ~ sP34
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f68,plain,
( ~ sP33
| ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f102,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f106,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f107,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f112,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f117,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f120,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f121,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f131,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f168,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f173,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f212,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f216,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f228,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f236,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f243,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f260,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f264,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f284,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f291,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f295,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f296,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f297,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f298,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f299,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f300,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f301,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f302,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f303,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f304,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f305,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f322,plain,
e13 = op1(e13,e13),
inference(cnf_transformation,[],[f10]) ).
fof(f323,plain,
e12 = op1(e12,e12),
inference(cnf_transformation,[],[f10]) ).
fof(f324,plain,
e11 = op1(e11,e11),
inference(cnf_transformation,[],[f10]) ).
fof(f325,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f10]) ).
fof(f326,plain,
e23 = op2(e23,e23),
inference(cnf_transformation,[],[f11]) ).
fof(f327,plain,
e22 = op2(e22,e22),
inference(cnf_transformation,[],[f11]) ).
fof(f328,plain,
e21 = op2(e21,e21),
inference(cnf_transformation,[],[f11]) ).
fof(f329,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f11]) ).
fof(f330,plain,
e11 = op1(op1(e12,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f331,plain,
e10 = op1(e12,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f332,plain,
e21 = op2(op2(e22,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f333,plain,
e20 = op2(e22,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f334,plain,
h1(e11) = op2(op2(e20,e21),e21),
inference(cnf_transformation,[],[f14]) ).
fof(f335,plain,
op2(e20,e21) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f336,plain,
e21 = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f337,plain,
e20 = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f339,plain,
op2(e20,e22) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f342,plain,
h3(e11) = op2(op2(e20,e23),e23),
inference(cnf_transformation,[],[f16]) ).
fof(f343,plain,
op2(e20,e23) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f347,plain,
op2(e21,e20) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f351,plain,
op2(e21,e22) = h5(e10),
inference(cnf_transformation,[],[f18]) ).
fof(f355,plain,
op2(e21,e23) = h6(e10),
inference(cnf_transformation,[],[f19]) ).
fof(f359,plain,
op2(e22,e20) = h7(e10),
inference(cnf_transformation,[],[f20]) ).
fof(f363,plain,
op2(e22,e21) = h8(e10),
inference(cnf_transformation,[],[f21]) ).
fof(f371,plain,
op2(e23,e20) = h10(e10),
inference(cnf_transformation,[],[f23]) ).
fof(f375,plain,
op2(e23,e21) = h11(e10),
inference(cnf_transformation,[],[f24]) ).
fof(f379,plain,
op2(e23,e22) = h12(e10),
inference(cnf_transformation,[],[f25]) ).
fof(f382,plain,
( ~ sP35
| e21 != h1(e13) ),
inference(cnf_transformation,[],[f66]) ).
fof(f389,plain,
( ~ sP34
| e22 != h1(e10) ),
inference(cnf_transformation,[],[f67]) ).
fof(f392,plain,
( ~ sP33
| e23 != h1(e11) ),
inference(cnf_transformation,[],[f68]) ).
fof(f570,plain,
( sP33
| sP34
| sP35
| e20 != h1(e13)
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f571,plain,
( sP33
| sP34
| sP35
| e20 != h1(e12)
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f573,plain,
( sP33
| sP34
| sP35
| e20 != h1(e10)
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_49,plain,
( ( op1(e10,e10) = e13 )
| ( op1(e10,e10) = e12 )
| ( op1(e10,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_54,plain,
( ( op1(e11,e11) = e13 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e11) = e10 ) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_59,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e12) = e10 ) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_60,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_64,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12 )
| ( op1(e13,e13) = e11 )
| ( op1(e13,e13) = e10 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_78,plain,
( ( op1(e13,e11) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_79,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e11,e10) = e13 ) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_82,plain,
( ( op1(e13,e12) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_83,plain,
( ( op1(e12,e13) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_84,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_87,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_88,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_89,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e13,e12) = e10 )
| ( op1(e13,e11) = e10 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_93,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_94,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e12 )
| ( op1(e10,e13) = e12 ) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_97,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_102,plain,
( ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_107,plain,
( ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e20 ) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_108,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e20 ) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_112,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e20 ) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_126,plain,
( ( op2(e23,e21) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_127,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e20) = e23 ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_130,plain,
( ( op2(e23,e22) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e20,e22) = e20 ) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_131,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_132,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_135,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_136,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_137,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_141,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_142,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e20,e23) = e22 ) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_147,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f243]) ).
tcf(c_154,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f236]) ).
tcf(c_162,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f228]) ).
tcf(c_170,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f220]) ).
tcf(c_174,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f216]) ).
tcf(c_178,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f212]) ).
tcf(c_192,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f198]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f291]) ).
tcf(c_202,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f284]) ).
tcf(c_210,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f276]) ).
tcf(c_218,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f268]) ).
tcf(c_222,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f264]) ).
tcf(c_226,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f260]) ).
tcf(c_240,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f246]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f299]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f298]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f297]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f296]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f295]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f294]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f305]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f304]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f303]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f302]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f301]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f300]) ).
tcf(c_269,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[],[f325]) ).
tcf(c_270,plain,
op1(e11,e11) = e11,
inference(cnf_transformation,[],[f324]) ).
tcf(c_271,plain,
op1(e12,e12) = e12,
inference(cnf_transformation,[],[f323]) ).
tcf(c_272,plain,
op1(e13,e13) = e13,
inference(cnf_transformation,[],[f322]) ).
tcf(c_273,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[],[f329]) ).
tcf(c_274,plain,
op2(e21,e21) = e21,
inference(cnf_transformation,[],[f328]) ).
tcf(c_275,plain,
op2(e22,e22) = e22,
inference(cnf_transformation,[],[f327]) ).
tcf(c_276,plain,
op2(e23,e23) = e23,
inference(cnf_transformation,[],[f326]) ).
tcf(c_277,plain,
op1(e12,e13) = e10,
inference(cnf_transformation,[],[f331]) ).
tcf(c_278,plain,
op1(op1(e12,e13),e13) = e11,
inference(cnf_transformation,[],[f330]) ).
tcf(c_279,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[],[f333]) ).
tcf(c_280,plain,
op2(op2(e22,e23),e23) = e21,
inference(cnf_transformation,[],[f332]) ).
tcf(c_281,plain,
h1(e12) = e20,
inference(cnf_transformation,[],[f337]) ).
tcf(c_282,plain,
h1(e13) = e21,
inference(cnf_transformation,[],[f336]) ).
tcf(c_283,plain,
op2(e20,e21) = h1(e10),
inference(cnf_transformation,[],[f335]) ).
tcf(c_284,plain,
op2(op2(e20,e21),e21) = h1(e11),
inference(cnf_transformation,[],[f334]) ).
tcf(c_287,plain,
op2(e20,e22) = h2(e10),
inference(cnf_transformation,[],[f339]) ).
tcf(c_291,plain,
op2(e20,e23) = h3(e10),
inference(cnf_transformation,[],[f343]) ).
tcf(c_292,plain,
op2(op2(e20,e23),e23) = h3(e11),
inference(cnf_transformation,[],[f342]) ).
tcf(c_295,plain,
op2(e21,e20) = h4(e10),
inference(cnf_transformation,[],[f347]) ).
tcf(c_299,plain,
op2(e21,e22) = h5(e10),
inference(cnf_transformation,[],[f351]) ).
tcf(c_303,plain,
op2(e21,e23) = h6(e10),
inference(cnf_transformation,[],[f355]) ).
tcf(c_307,plain,
op2(e22,e20) = h7(e10),
inference(cnf_transformation,[],[f359]) ).
tcf(c_311,plain,
op2(e22,e21) = h8(e10),
inference(cnf_transformation,[],[f363]) ).
tcf(c_319,plain,
op2(e23,e20) = h10(e10),
inference(cnf_transformation,[],[f371]) ).
tcf(c_323,plain,
op2(e23,e21) = h11(e10),
inference(cnf_transformation,[],[f375]) ).
tcf(c_327,plain,
op2(e23,e22) = h12(e10),
inference(cnf_transformation,[],[f379]) ).
tcf(c_332,plain,
( ~ sP35
| ( h1(e13) != e21 ) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_333,plain,
( ~ sP34
| ( h1(e10) != e22 ) ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_338,plain,
( ~ sP33
| ( h1(e11) != e23 ) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_473,negated_conjecture,
( sP33
| sP34
| sP35
| ( h1(e10) != e20 )
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f573]) ).
tcf(c_475,negated_conjecture,
( sP33
| sP34
| sP35
| ( h1(e12) != e20 )
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f571]) ).
tcf(c_476,negated_conjecture,
( sP33
| sP34
| sP35
| ( h1(e13) != e20 )
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_685,plain,
op2(e23,e23) = e23,
inference(global_subsumption_just,[status(thm)],[c_112,c_276]) ).
tcf(c_687,plain,
op2(e22,e23) = e20,
inference(global_subsumption_just,[status(thm)],[c_108,c_279]) ).
tcf(c_689,plain,
op2(e22,e22) = e22,
inference(global_subsumption_just,[status(thm)],[c_107,c_275]) ).
tcf(c_691,plain,
op2(e21,e21) = e21,
inference(global_subsumption_just,[status(thm)],[c_102,c_274]) ).
tcf(c_693,plain,
op2(e20,e20) = e20,
inference(global_subsumption_just,[status(thm)],[c_97,c_273]) ).
tcf(c_715,plain,
op1(e13,e13) = e13,
inference(global_subsumption_just,[status(thm)],[c_64,c_272]) ).
tcf(c_717,plain,
op1(e12,e13) = e10,
inference(global_subsumption_just,[status(thm)],[c_60,c_277]) ).
tcf(c_719,plain,
op1(e12,e12) = e12,
inference(global_subsumption_just,[status(thm)],[c_59,c_271]) ).
tcf(c_721,plain,
op1(e11,e11) = e11,
inference(global_subsumption_just,[status(thm)],[c_54,c_270]) ).
tcf(c_723,plain,
op1(e10,e10) = e10,
inference(global_subsumption_just,[status(thm)],[c_49,c_269]) ).
tcf(c_813,negated_conjecture,
( sP33
| sP34
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
inference(global_subsumption_just,[status(thm)],[c_476,c_282,c_281,c_332,c_475]) ).
tcf(c_819,negated_conjecture,
( sP33
| sP34
| ( op2(h1(e13),h1(e13)) != h1(op1(e13,e13)) )
| ( op2(h1(e13),h1(e12)) != h1(op1(e13,e12)) )
| ( op2(h1(e13),h1(e11)) != h1(op1(e13,e11)) )
| ( op2(h1(e13),h1(e10)) != h1(op1(e13,e10)) )
| ( op2(h1(e12),h1(e13)) != h1(op1(e12,e13)) )
| ( op2(h1(e12),h1(e12)) != h1(op1(e12,e12)) )
| ( op2(h1(e12),h1(e11)) != h1(op1(e12,e11)) )
| ( op2(h1(e12),h1(e10)) != h1(op1(e12,e10)) )
| ( op2(h1(e11),h1(e13)) != h1(op1(e11,e13)) )
| ( op2(h1(e11),h1(e12)) != h1(op1(e11,e12)) )
| ( op2(h1(e11),h1(e11)) != h1(op1(e11,e11)) )
| ( op2(h1(e11),h1(e10)) != h1(op1(e11,e10)) )
| ( op2(h1(e10),h1(e13)) != h1(op1(e10,e13)) )
| ( op2(h1(e10),h1(e12)) != h1(op1(e10,e12)) )
| ( op2(h1(e10),h1(e11)) != h1(op1(e10,e11)) )
| ( op2(h1(e10),h1(e10)) != h1(op1(e10,e10)) ) ),
inference(global_subsumption_just,[status(thm)],[c_473,c_813]) ).
tcf(c_3297,plain,
h3(e10) = e21,
inference(light_normalisation,[status(thm)],[c_280,c_687,c_291]) ).
tcf(c_3300,plain,
op2(e20,e23) = e21,
inference(demodulation,[status(thm)],[c_291,c_3297]) ).
tcf(c_3302,plain,
op1(e10,e13) = e11,
inference(light_normalisation,[status(thm)],[c_278,c_717]) ).
tcf(c_3314,plain,
h3(e11) = h6(e10),
inference(light_normalisation,[status(thm)],[c_292,c_303,c_3300]) ).
tcf(c_3317,plain,
op2(e21,e23) = h3(e11),
inference(demodulation,[status(thm)],[c_303,c_3314]) ).
tcf(c_3323,plain,
op2(h1(e10),e21) = h1(e11),
inference(light_normalisation,[status(thm)],[c_284,c_283]) ).
tcf(c_3324,plain,
h12(e10) != e23,
inference(light_normalisation,[status(thm)],[c_240,c_685,c_327]) ).
tcf(c_3338,plain,
h5(e10) != e21,
inference(light_normalisation,[status(thm)],[c_226,c_691,c_299]) ).
tcf(c_3342,plain,
h2(e10) != e21,
inference(light_normalisation,[status(thm)],[c_222,c_287,c_3300]) ).
tcf(c_3346,plain,
h2(e10) != e20,
inference(light_normalisation,[status(thm)],[c_218,c_693,c_287]) ).
tcf(c_3354,plain,
h12(e10) != e22,
inference(light_normalisation,[status(thm)],[c_210,c_689,c_327]) ).
tcf(c_3362,plain,
h8(e10) != e21,
inference(light_normalisation,[status(thm)],[c_202,c_691,c_311]) ).
tcf(c_3369,plain,
h10(e10) != e20,
inference(light_normalisation,[status(thm)],[c_195,c_693,c_319]) ).
tcf(c_3372,plain,
op1(e13,e12) != e13,
inference(light_normalisation,[status(thm)],[c_192,c_715]) ).
tcf(c_3381,plain,
op1(e11,e12) != e11,
inference(light_normalisation,[status(thm)],[c_178,c_721]) ).
tcf(c_3383,plain,
op1(e10,e12) != e11,
inference(light_normalisation,[status(thm)],[c_174,c_3302]) ).
tcf(c_3386,plain,
op1(e10,e12) != e10,
inference(light_normalisation,[status(thm)],[c_170,c_723]) ).
tcf(c_3394,plain,
op1(e13,e12) != e12,
inference(light_normalisation,[status(thm)],[c_162,c_719]) ).
tcf(c_3398,plain,
op1(e12,e11) != e11,
inference(light_normalisation,[status(thm)],[c_154,c_721]) ).
tcf(c_3400,plain,
op1(e13,e10) != e10,
inference(light_normalisation,[status(thm)],[c_147,c_723]) ).
tcf(c_3403,plain,
( ( e22 = e23 )
| ( e21 = e22 )
| ( e20 = e22 )
| ( h3(e11) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_142,c_685,c_687,c_3300,c_3317]) ).
tcf(c_3404,plain,
h3(e11) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3403,c_252,c_250,c_248]) ).
tcf(c_3412,plain,
op2(e21,e23) = e22,
inference(demodulation,[status(thm)],[c_3317,c_3404]) ).
tcf(c_3418,plain,
( ( e22 = e23 )
| ( h12(e10) = e22 )
| ( h11(e10) = e22 )
| ( h10(e10) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_141,c_685,c_319,c_323,c_327]) ).
tcf(c_3419,plain,
( ( h11(e10) = e22 )
| ( h10(e10) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3418,c_252,c_3354]) ).
tcf(c_3434,plain,
( ( e20 = e23 )
| ( h12(e10) = e20 )
| ( h11(e10) = e20 )
| ( h10(e10) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_137,c_685,c_319,c_323,c_327]) ).
tcf(c_3435,plain,
( ( h12(e10) = e20 )
| ( h11(e10) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3434,c_249,c_3369]) ).
tcf(c_3442,plain,
( ( e22 = e23 )
| ( h12(e10) = e23 )
| ( h5(e10) = e23 )
| ( h2(e10) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_136,c_689,c_287,c_299,c_327]) ).
tcf(c_3443,plain,
( ( h5(e10) = e23 )
| ( h2(e10) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3442,c_252,c_3324]) ).
tcf(c_3450,plain,
( ( e22 = e23 )
| ( e20 = e23 )
| ( h8(e10) = e23 )
| ( h7(e10) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_135,c_689,c_687,c_307,c_311]) ).
tcf(c_3451,plain,
( ( h8(e10) = e23 )
| ( h7(e10) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3450,c_252,c_249]) ).
tcf(c_3458,plain,
( ( e21 = e22 )
| ( h12(e10) = e21 )
| ( h5(e10) = e21 )
| ( h2(e10) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_132,c_689,c_287,c_299,c_327]) ).
tcf(c_3459,plain,
h12(e10) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3458,c_250,c_3338,c_3342]) ).
tcf(c_3460,plain,
( ( e20 = e21 )
| ( h11(e10) = e20 ) ),
inference(demodulation,[status(thm)],[c_3435,c_3459]) ).
tcf(c_3470,plain,
op2(e23,e22) = e21,
inference(demodulation,[status(thm)],[c_327,c_3459]) ).
tcf(c_3473,plain,
h11(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3460,c_247]) ).
tcf(c_3474,plain,
( ( e20 = e22 )
| ( h10(e10) = e22 ) ),
inference(demodulation,[status(thm)],[c_3419,c_3473]) ).
tcf(c_3482,plain,
op2(e23,e21) = e20,
inference(demodulation,[status(thm)],[c_323,c_3473]) ).
tcf(c_3489,plain,
h10(e10) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3474,c_248]) ).
tcf(c_3497,plain,
op2(e23,e20) = e22,
inference(demodulation,[status(thm)],[c_319,c_3489]) ).
tcf(c_3505,plain,
( ( e21 = e22 )
| ( e20 = e21 )
| ( h8(e10) = e21 )
| ( h7(e10) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_131,c_689,c_687,c_307,c_311]) ).
tcf(c_3506,plain,
h7(e10) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3505,c_250,c_247,c_3362]) ).
tcf(c_3509,plain,
( ( e21 = e23 )
| ( h8(e10) = e23 ) ),
inference(demodulation,[status(thm)],[c_3451,c_3506]) ).
tcf(c_3517,plain,
op2(e22,e20) = e21,
inference(demodulation,[status(thm)],[c_307,c_3506]) ).
tcf(c_3525,plain,
h8(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3509,c_251]) ).
tcf(c_3532,plain,
op2(e22,e21) = e23,
inference(demodulation,[status(thm)],[c_311,c_3525]) ).
tcf(c_3536,plain,
( ( e20 = e22 )
| ( e20 = e21 )
| ( h5(e10) = e20 )
| ( h2(e10) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_130,c_689,c_287,c_299,c_3470]) ).
tcf(c_3537,plain,
h5(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3536,c_248,c_247,c_3346]) ).
tcf(c_3539,plain,
( ( e20 = e23 )
| ( h2(e10) = e23 ) ),
inference(demodulation,[status(thm)],[c_3443,c_3537]) ).
tcf(c_3546,plain,
op2(e21,e22) = e20,
inference(demodulation,[status(thm)],[c_299,c_3537]) ).
tcf(c_3553,plain,
h2(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3539,c_249]) ).
tcf(c_3562,plain,
op2(e20,e22) = e23,
inference(demodulation,[status(thm)],[c_287,c_3553]) ).
tcf(c_3568,plain,
( ( e22 = e23 )
| ( e21 = e23 )
| ( e20 = e23 )
| ( h4(e10) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_127,c_691,c_295,c_3412,c_3546]) ).
tcf(c_3569,plain,
h4(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3568,c_252,c_251,c_249]) ).
tcf(c_3577,plain,
op2(e21,e20) = e23,
inference(demodulation,[status(thm)],[c_295,c_3569]) ).
tcf(c_3583,plain,
( ( e22 = e23 )
| ( e21 = e22 )
| ( e20 = e22 )
| ( h1(e10) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_126,c_691,c_283,c_3482,c_3532]) ).
tcf(c_3584,plain,
h1(e10) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3583,c_252,c_250,c_248]) ).
tcf(c_3590,plain,
op2(e22,e21) = h1(e11),
inference(demodulation,[status(thm)],[c_3323,c_3584]) ).
tcf(c_3591,plain,
( ~ sP34
| ( e22 != e22 ) ),
inference(demodulation,[status(thm)],[c_333,c_3584]) ).
tcf(c_3592,plain,
op2(e20,e21) = e22,
inference(demodulation,[status(thm)],[c_283,c_3584]) ).
tcf(c_3593,plain,
~ sP34,
inference(equality_resolution_simp,[status(thm)],[c_3591]) ).
tcf(c_3594,plain,
h1(e11) = e23,
inference(light_normalisation,[status(thm)],[c_3590,c_3532]) ).
tcf(c_3595,plain,
( ~ sP33
| ( e23 != e23 ) ),
inference(demodulation,[status(thm)],[c_338,c_3594]) ).
tcf(c_3596,plain,
~ sP33,
inference(equality_resolution_simp,[status(thm)],[c_3595]) ).
tcf(c_3598,plain,
( ( e12 = e13 )
| ( e11 = e12 )
| ( e10 = e12 )
| ( op1(e11,e13) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_94,c_715,c_717,c_3302]) ).
tcf(c_3599,plain,
op1(e11,e13) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3598,c_246,c_244,c_242]) ).
tcf(c_3605,plain,
( ( e12 = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_93,c_715]) ).
tcf(c_3606,plain,
( ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3605,c_246,c_3394]) ).
tcf(c_3617,plain,
( ( e10 = e13 )
| ( op1(e13,e12) = e10 )
| ( op1(e13,e11) = e10 )
| ( op1(e13,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_89,c_715]) ).
tcf(c_3618,plain,
( ( op1(e13,e12) = e10 )
| ( op1(e13,e11) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3617,c_243,c_3400]) ).
tcf(c_3625,plain,
( ( e12 = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_88,c_719]) ).
tcf(c_3626,plain,
( ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3625,c_246,c_3372]) ).
tcf(c_3633,plain,
( ( e12 = e13 )
| ( e10 = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_87,c_719,c_717]) ).
tcf(c_3634,plain,
( ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3633,c_246,c_243]) ).
tcf(c_3641,plain,
( ( e11 = e12 )
| ( op1(e13,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_84,c_719]) ).
tcf(c_3642,plain,
op1(e13,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3641,c_244,c_3381,c_3383]) ).
tcf(c_3643,plain,
( ( e10 = e11 )
| ( op1(e13,e11) = e10 ) ),
inference(demodulation,[status(thm)],[c_3618,c_3642]) ).
tcf(c_3651,plain,
op1(e13,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3643,c_241]) ).
tcf(c_3652,plain,
( ( e10 = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(demodulation,[status(thm)],[c_3606,c_3651]) ).
tcf(c_3658,plain,
op1(e13,e10) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3652,c_242]) ).
tcf(c_3664,plain,
( ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_83,c_719,c_717]) ).
tcf(c_3665,plain,
op1(e12,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3664,c_244,c_241,c_3398]) ).
tcf(c_3666,plain,
( ( e11 = e13 )
| ( op1(e12,e11) = e13 ) ),
inference(demodulation,[status(thm)],[c_3634,c_3665]) ).
tcf(c_3671,plain,
op1(e12,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3666,c_245]) ).
tcf(c_3676,plain,
( ( e10 = e12 )
| ( e10 = e11 )
| ( op1(e11,e12) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_82,c_719,c_3642]) ).
tcf(c_3677,plain,
op1(e11,e12) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3676,c_242,c_241,c_3386]) ).
tcf(c_3678,plain,
( ( e10 = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(demodulation,[status(thm)],[c_3626,c_3677]) ).
tcf(c_3683,plain,
op1(e10,e12) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3678,c_243]) ).
tcf(c_3688,plain,
( ( e12 = e13 )
| ( e11 = e13 )
| ( e10 = e13 )
| ( op1(e11,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_79,c_721,c_3599,c_3677]) ).
tcf(c_3689,plain,
op1(e11,e10) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3688,c_246,c_245,c_243]) ).
tcf(c_3693,plain,
( ( e12 = e13 )
| ( e11 = e12 )
| ( e10 = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_78,c_721,c_3651,c_3671]) ).
tcf(c_3694,plain,
op1(e10,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3693,c_246,c_244,c_242]) ).
tcf(c_3698,plain,
( sP33
| sP34
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 ) ),
inference(light_normalisation,[status(thm)],[c_819,c_723,c_721,c_719,c_715,c_693,c_691,c_689,c_685,c_717,c_687,c_281,c_282,c_3300,c_3302,c_3412,c_3470,c_3482,c_3497,c_3517,c_3532,c_3546,c_3562,c_3577,c_3584,c_3592,c_3594,c_3599,c_3642,c_3651,c_3658,c_3665,c_3671,c_3677,c_3683,c_3689,c_3694]) ).
tcf(c_3699,plain,
( sP33
| sP34 ),
inference(equality_resolution_simp,[status(thm)],[c_3698]) ).
tcf(c_3700,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3699,c_3596,c_3593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG113+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.35 % Computer : n011.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 04:48:14 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 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
% 0.15/0.40
% 0.15/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.40
% 0.15/0.40 % Detected problem language: tptp
% 0.15/0.42 % Proving...
% 4.11/1.18 % SZS status Started for theBenchmark.p
% 4.11/1.18 % SZS status Theorem for theBenchmark.p
% 4.11/1.18
% 4.11/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.11/1.18
% 4.11/1.18 % ------ iProver source info
% 4.11/1.18
% 4.11/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 4.11/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.11/1.18 % git: non_committed_changes: false
% 4.11/1.18
% 4.11/1.18 % ------ Parsing...
% 4.11/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.11/1.18
% 4.11/1.18 % ------ Preprocessing...%
% 4.11/1.18
% 4.11/1.18 % SZS status Theorem for theBenchmark.p
% 4.11/1.18
% 4.11/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.19
% 4.11/1.19
%------------------------------------------------------------------------------