%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG121+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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:30 PM UTC 2026
% Result : Theorem 1.73s 1.18s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f65ERROR: Could not build tree for root c_3738ERROR: 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(f12,axiom,
( e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13)
& e11 = op1(op1(e13,e13),op1(e13,e13))
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
& e21 = op2(op2(e23,e23),op2(e23,e23))
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e10) = op2(e20,e20)
& h1(e13) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e10) = op2(e22,e22)
& h3(e13) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f102,plain,
( ~ sP35
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f103,plain,
( ~ sP34
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f104,plain,
( ~ sP33
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f108,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f111,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f124,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f138,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f172,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f176,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f186,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f210,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f222,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f230,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f256,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f270,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f272,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f274,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f300,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f301,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f302,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f303,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f304,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f305,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f306,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f307,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f308,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f309,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f310,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f311,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f379,plain,
( e13 = op1(e13,e10)
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f36]) ).
fof(f380,plain,
( e12 = op1(e12,e13)
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f36]) ).
fof(f383,plain,
( e12 = op1(e12,e10)
| e10 != op1(e12,e12) ),
inference(cnf_transformation,[],[f36]) ).
fof(f390,plain,
( e10 = op1(e10,e11)
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f36]) ).
fof(f392,plain,
( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f36]) ).
fof(f444,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f52]) ).
fof(f445,plain,
( e22 = op2(e22,e23)
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f52]) ).
fof(f448,plain,
( e22 = op2(e22,e20)
| e20 != op2(e22,e22) ),
inference(cnf_transformation,[],[f52]) ).
fof(f455,plain,
( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[],[f52]) ).
fof(f457,plain,
( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f52]) ).
fof(f458,plain,
e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f459,plain,
e11 = op1(op1(e13,e13),op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f460,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f461,plain,
e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f462,plain,
e21 = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f463,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f464,plain,
h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f465,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f466,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f470,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f472,plain,
h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f473,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f16]) ).
fof(f474,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f475,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f506,plain,
( ~ sP35
| e21 != h3(e11) ),
inference(cnf_transformation,[],[f102]) ).
fof(f508,plain,
( ~ sP34
| e22 != h3(e13) ),
inference(cnf_transformation,[],[f103]) ).
fof(f513,plain,
( ~ sP33
| e23 != h3(e12) ),
inference(cnf_transformation,[],[f104]) ).
fof(f535,plain,
( sP33
| sP34
| sP35
| e20 != h3(e10)
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_61,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e10) = e12 )
| ( op1(e13,e10) = e11 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_64,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12 )
| ( op1(e13,e13) = e11 )
| ( op1(e13,e13) = e10 ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_73,plain,
( ( op1(e11,e13) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_82,plain,
( ( op1(e13,e12) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_84,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_86,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_87,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_88,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_92,plain,
( ( op1(e13,e13) = e11 )
| ( op1(e12,e13) = e11 )
| ( op1(e11,e13) = e11 )
| ( op1(e10,e13) = e11 ) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_93,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_96,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_109,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_112,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e20 ) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_121,plain,
( ( op2(e21,e23) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_130,plain,
( ( op2(e23,e22) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e20,e22) = e20 ) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_132,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_134,plain,
( ( op2(e23,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_135,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_136,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_140,plain,
( ( op2(e23,e23) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e20,e23) = e21 ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_141,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_144,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_150,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f246]) ).
tcf(c_166,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f230]) ).
tcf(c_170,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f226]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f225]) ).
tcf(c_172,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f224]) ).
tcf(c_174,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f222]) ).
tcf(c_186,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f210]) ).
tcf(c_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f208]) ).
tcf(c_198,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f294]) ).
tcf(c_214,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f278]) ).
tcf(c_218,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f274]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f273]) ).
tcf(c_220,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f272]) ).
tcf(c_222,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f270]) ).
tcf(c_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f258]) ).
tcf(c_236,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f256]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f305]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f304]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f303]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f302]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f301]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f300]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f311]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f310]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f309]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f308]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f307]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f306]) ).
tcf(c_314,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_315,plain,
( ( op1(e10,e11) = e10 )
| ( op1(e10,e10) != e11 ) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_321,plain,
( ( op1(e12,e10) = e12 )
| ( op1(e12,e12) != e10 ) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_323,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e12) != e13 ) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_324,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e13) != e10 ) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_375,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_376,plain,
( ( op2(e20,e21) = e20 )
| ( op2(e20,e20) != e21 ) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_382,plain,
( ( op2(e22,e20) = e22 )
| ( op2(e22,e22) != e20 ) ),
inference(cnf_transformation,[],[f448]) ).
tcf(c_384,plain,
( ( op2(e22,e23) = e22 )
| ( op2(e22,e22) != e23 ) ),
inference(cnf_transformation,[],[f445]) ).
tcf(c_385,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e23) != e20 ) ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_391,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f460]) ).
tcf(c_392,plain,
op1(op1(e13,e13),op1(e13,e13)) = e11,
inference(cnf_transformation,[],[f459]) ).
tcf(c_393,plain,
op1(op1(op1(e13,e13),op1(e13,e13)),e13) = e12,
inference(cnf_transformation,[],[f458]) ).
tcf(c_394,plain,
op2(e23,e23) = e20,
inference(cnf_transformation,[],[f463]) ).
tcf(c_395,plain,
op2(op2(e23,e23),op2(e23,e23)) = e21,
inference(cnf_transformation,[],[f462]) ).
tcf(c_396,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
inference(cnf_transformation,[],[f461]) ).
tcf(c_398,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f466]) ).
tcf(c_399,plain,
op2(op2(e20,e20),op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f465]) ).
tcf(c_400,plain,
op2(op2(op2(e20,e20),op2(e20,e20)),e20) = h1(e12),
inference(cnf_transformation,[],[f464]) ).
tcf(c_402,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f470]) ).
tcf(c_405,plain,
h3(e13) = e22,
inference(cnf_transformation,[],[f475]) ).
tcf(c_406,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f474]) ).
tcf(c_407,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f473]) ).
tcf(c_408,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),e22) = h3(e12),
inference(cnf_transformation,[],[f472]) ).
tcf(c_438,plain,
( ~ sP35
| ( h3(e11) != e21 ) ),
inference(cnf_transformation,[],[f506]) ).
tcf(c_444,plain,
( ~ sP34
| ( h3(e13) != e22 ) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_447,plain,
( ~ sP33
| ( h3(e12) != e23 ) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_469,negated_conjecture,
( sP33
| sP34
| sP35
| ( h3(e10) != e20 )
| ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
| ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
| ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
| ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
| ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
| ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
| ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
| ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
| ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
| ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f535]) ).
tcf(c_565,plain,
op2(e23,e23) = e20,
inference(global_subsumption_just,[status(thm)],[c_112,c_394]) ).
tcf(c_567,plain,
op2(e23,e20) = e23,
inference(global_subsumption_just,[status(thm)],[c_109,c_394,c_385]) ).
tcf(c_577,plain,
op1(e13,e13) = e10,
inference(global_subsumption_just,[status(thm)],[c_64,c_391]) ).
tcf(c_579,plain,
op1(e13,e10) = e13,
inference(global_subsumption_just,[status(thm)],[c_61,c_391,c_324]) ).
tcf(c_595,plain,
( sP33
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
| ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
| ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
| ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
| ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
| ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
| ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
| ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
| ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
| ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
| ( h3(e10) != e20 )
| sP35 ),
inference(global_subsumption_just,[status(thm)],[c_469,c_405,c_444,c_469]) ).
tcf(c_596,negated_conjecture,
( sP33
| sP35
| ( h3(e10) != e20 )
| ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) )
| ( op2(h3(e13),h3(e12)) != h3(op1(e13,e12)) )
| ( op2(h3(e13),h3(e11)) != h3(op1(e13,e11)) )
| ( op2(h3(e13),h3(e10)) != h3(op1(e13,e10)) )
| ( op2(h3(e12),h3(e13)) != h3(op1(e12,e13)) )
| ( op2(h3(e12),h3(e12)) != h3(op1(e12,e12)) )
| ( op2(h3(e12),h3(e11)) != h3(op1(e12,e11)) )
| ( op2(h3(e12),h3(e10)) != h3(op1(e12,e10)) )
| ( op2(h3(e11),h3(e13)) != h3(op1(e11,e13)) )
| ( op2(h3(e11),h3(e12)) != h3(op1(e11,e12)) )
| ( op2(h3(e11),h3(e11)) != h3(op1(e11,e11)) )
| ( op2(h3(e11),h3(e10)) != h3(op1(e11,e10)) )
| ( op2(h3(e10),h3(e13)) != h3(op1(e10,e13)) )
| ( op2(h3(e10),h3(e12)) != h3(op1(e10,e12)) )
| ( op2(h3(e10),h3(e11)) != h3(op1(e10,e11)) )
| ( op2(h3(e10),h3(e10)) != h3(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_595]) ).
tcf(c_3057,plain,
op2(e23,e22) != e23,
inference(light_normalisation,[status(thm)],[c_236,c_567]) ).
tcf(c_3061,plain,
op2(e22,e23) != h3(e10),
inference(light_normalisation,[status(thm)],[c_234,c_406]) ).
tcf(c_3067,plain,
op2(e20,e23) != h1(e10),
inference(light_normalisation,[status(thm)],[c_219,c_398]) ).
tcf(c_3068,plain,
op2(e20,e22) != h1(e10),
inference(light_normalisation,[status(thm)],[c_218,c_398]) ).
tcf(c_3079,plain,
op2(e22,e20) != e23,
inference(light_normalisation,[status(thm)],[c_198,c_567]) ).
tcf(c_3087,plain,
op1(e13,e12) != e13,
inference(light_normalisation,[status(thm)],[c_188,c_579]) ).
tcf(c_3094,plain,
op1(e12,e10) != e13,
inference(light_normalisation,[status(thm)],[c_150,c_579]) ).
tcf(c_3097,plain,
h1(e10) = e21,
inference(light_normalisation,[status(thm)],[c_395,c_565,c_398]) ).
tcf(c_3102,plain,
op2(e20,e22) != e21,
inference(demodulation,[status(thm)],[c_3068,c_3097]) ).
tcf(c_3103,plain,
op2(e20,e23) != e21,
inference(demodulation,[status(thm)],[c_3067,c_3097]) ).
tcf(c_3109,plain,
op2(e20,e20) = e21,
inference(demodulation,[status(thm)],[c_398,c_3097]) ).
tcf(c_3112,plain,
op1(e10,e10) = e11,
inference(light_normalisation,[status(thm)],[c_392,c_577]) ).
tcf(c_3117,plain,
op1(e10,e12) != e11,
inference(demodulation,[status(thm)],[c_170,c_3112]) ).
tcf(c_3118,plain,
op1(e10,e13) != e11,
inference(demodulation,[status(thm)],[c_171,c_3112]) ).
tcf(c_3127,plain,
op2(h3(e10),h3(e10)) = h3(e11),
inference(light_normalisation,[status(thm)],[c_407,c_406]) ).
tcf(c_3129,plain,
h1(e11) = h2(e10),
inference(light_normalisation,[status(thm)],[c_399,c_402,c_3109]) ).
tcf(c_3141,plain,
op2(e21,e21) = h1(e11),
inference(demodulation,[status(thm)],[c_402,c_3129]) ).
tcf(c_3208,plain,
op2(e21,e23) = e22,
inference(light_normalisation,[status(thm)],[c_396,c_565,c_3109]) ).
tcf(c_3211,plain,
op2(e22,e23) != e22,
inference(demodulation,[status(thm)],[c_214,c_3208]) ).
tcf(c_3258,plain,
op1(e11,e13) = e12,
inference(light_normalisation,[status(thm)],[c_393,c_577,c_3112]) ).
tcf(c_3260,plain,
op1(e12,e13) != e12,
inference(demodulation,[status(thm)],[c_166,c_3258]) ).
tcf(c_3311,plain,
op2(h3(e11),e22) = h3(e12),
inference(light_normalisation,[status(thm)],[c_408,c_406,c_3127]) ).
tcf(c_3313,plain,
op2(h1(e11),e20) = h1(e12),
inference(light_normalisation,[status(thm)],[c_400,c_3109,c_3141]) ).
tcf(c_3316,plain,
( ( op2(e22,e23) = e22 )
| ( h3(e10) != e23 ) ),
inference(light_normalisation,[status(thm)],[c_384,c_406]) ).
tcf(c_3317,plain,
h3(e10) != e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3316,c_3211]) ).
tcf(c_3325,plain,
( ( op2(e22,e20) = e22 )
| ( h3(e10) != e20 ) ),
inference(light_normalisation,[status(thm)],[c_382,c_406]) ).
tcf(c_3339,plain,
( ( op2(e20,e21) = e20 )
| ( e21 != e21 ) ),
inference(demodulation,[status(thm)],[c_376,c_3109]) ).
tcf(c_3340,plain,
op2(e20,e21) = e20,
inference(equality_resolution_simp,[status(thm)],[c_3339]) ).
tcf(c_3345,plain,
op2(e20,e22) != e20,
inference(demodulation,[status(thm)],[c_220,c_3340]) ).
tcf(c_3360,plain,
op1(e12,e12) != e13,
inference(forward_subsumption_resolution,[status(thm)],[c_323,c_3260]) ).
tcf(c_3374,plain,
( ( op1(e10,e11) = e10 )
| ( e11 != e11 ) ),
inference(demodulation,[status(thm)],[c_315,c_3112]) ).
tcf(c_3375,plain,
op1(e10,e11) = e10,
inference(equality_resolution_simp,[status(thm)],[c_3374]) ).
tcf(c_3380,plain,
op1(e10,e12) != e10,
inference(demodulation,[status(thm)],[c_172,c_3375]) ).
tcf(c_3393,plain,
( ( e20 = e23 )
| ( e20 = e21 )
| ( h3(e10) = e22 )
| ( h1(e11) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_375,c_565,c_406,c_3109,c_3141]) ).
tcf(c_3394,plain,
( ( h3(e10) = e22 )
| ( h1(e11) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3393,c_249,c_247]) ).
tcf(c_3401,plain,
( ( e10 = e13 )
| ( e10 = e11 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_314,c_577,c_3112]) ).
tcf(c_3402,plain,
( ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3401,c_243,c_241]) ).
tcf(c_3409,plain,
( ( e22 = e23 )
| ( e20 = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_144,c_565,c_3208]) ).
tcf(c_3410,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3409,c_252,c_249]) ).
tcf(c_3417,plain,
( ( e22 = e23 )
| ( e20 = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_141,c_565,c_567]) ).
tcf(c_3418,plain,
( ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3417,c_252,c_248]) ).
tcf(c_3425,plain,
( ( e21 = e22 )
| ( e20 = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e20,e23) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_140,c_565,c_3208]) ).
tcf(c_3426,plain,
op2(e22,e23) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3425,c_250,c_247,c_3103]) ).
tcf(c_3427,plain,
( ( e21 = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(demodulation,[status(thm)],[c_3410,c_3426]) ).
tcf(c_3433,plain,
h3(e10) != e21,
inference(demodulation,[status(thm)],[c_3061,c_3426]) ).
tcf(c_3442,plain,
op2(e20,e23) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3427,c_251]) ).
tcf(c_3446,plain,
op2(e20,e22) != e23,
inference(demodulation,[status(thm)],[c_222,c_3442]) ).
tcf(c_3456,plain,
( ( h3(e10) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_136,c_406]) ).
tcf(c_3457,plain,
op2(e21,e22) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3456,c_3317,c_3057,c_3446]) ).
tcf(c_3464,plain,
( ( e21 = e23 )
| ( h3(e10) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_135,c_406,c_3426]) ).
tcf(c_3465,plain,
op2(e22,e21) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3464,c_251,c_3317,c_3079]) ).
tcf(c_3472,plain,
( ( e22 = e23 )
| ( h3(e10) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_134,c_406,c_3457]) ).
tcf(c_3473,plain,
( ( h3(e10) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3472,c_252]) ).
tcf(c_3491,plain,
( ( e21 = e23 )
| ( h3(e10) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_132,c_406,c_3457]) ).
tcf(c_3492,plain,
op2(e23,e22) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3491,c_251,c_3433,c_3102]) ).
tcf(c_3493,plain,
( ( e21 = e22 )
| ( h3(e10) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(demodulation,[status(thm)],[c_3473,c_3492]) ).
tcf(c_3495,plain,
( ( e21 = e22 )
| ( op2(e23,e21) = e22 ) ),
inference(demodulation,[status(thm)],[c_3418,c_3492]) ).
tcf(c_3501,plain,
op2(e23,e21) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3495,c_250]) ).
tcf(c_3506,plain,
( ( h3(e10) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3493,c_250]) ).
tcf(c_3513,plain,
( ( e20 = e23 )
| ( e20 = e21 )
| ( h3(e10) = e20 )
| ( op2(e20,e22) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_130,c_406,c_3457,c_3492]) ).
tcf(c_3514,plain,
h3(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3513,c_249,c_247,c_3345]) ).
tcf(c_3515,plain,
( ( e20 = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(demodulation,[status(thm)],[c_3506,c_3514]) ).
tcf(c_3518,plain,
( ( e20 = e22 )
| ( h1(e11) = e21 ) ),
inference(demodulation,[status(thm)],[c_3394,c_3514]) ).
tcf(c_3519,plain,
( ( op2(e22,e20) = e22 )
| ( e20 != e20 ) ),
inference(demodulation,[status(thm)],[c_3325,c_3514]) ).
tcf(c_3521,plain,
op2(e20,e20) = h3(e11),
inference(demodulation,[status(thm)],[c_3127,c_3514]) ).
tcf(c_3524,plain,
op2(e22,e22) = e20,
inference(demodulation,[status(thm)],[c_406,c_3514]) ).
tcf(c_3525,plain,
h3(e11) = e21,
inference(light_normalisation,[status(thm)],[c_3521,c_3109]) ).
tcf(c_3526,plain,
op2(e21,e22) = h3(e12),
inference(demodulation,[status(thm)],[c_3311,c_3525]) ).
tcf(c_3527,plain,
( ~ sP35
| ( e21 != e21 ) ),
inference(demodulation,[status(thm)],[c_438,c_3525]) ).
tcf(c_3529,plain,
~ sP35,
inference(equality_resolution_simp,[status(thm)],[c_3527]) ).
tcf(c_3530,plain,
h3(e12) = e23,
inference(light_normalisation,[status(thm)],[c_3526,c_3457]) ).
tcf(c_3531,plain,
( ~ sP33
| ( e23 != e23 ) ),
inference(demodulation,[status(thm)],[c_447,c_3530]) ).
tcf(c_3532,plain,
~ sP33,
inference(equality_resolution_simp,[status(thm)],[c_3531]) ).
tcf(c_3533,plain,
op2(e22,e20) = e22,
inference(equality_resolution_simp,[status(thm)],[c_3519]) ).
tcf(c_3539,plain,
h1(e11) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3518,c_248]) ).
tcf(c_3542,plain,
op2(e21,e20) = h1(e12),
inference(demodulation,[status(thm)],[c_3313,c_3539]) ).
tcf(c_3547,plain,
op2(e21,e21) = e21,
inference(demodulation,[status(thm)],[c_3141,c_3539]) ).
tcf(c_3565,plain,
op2(e20,e22) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3515,c_248]) ).
tcf(c_3570,plain,
( ( e20 = e23 )
| ( e20 = e22 )
| ( e20 = e21 )
| ( h1(e12) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_121,c_3208,c_3457,c_3542,c_3547]) ).
tcf(c_3571,plain,
h1(e12) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3570,c_249,c_248,c_247]) ).
tcf(c_3575,plain,
op2(e21,e20) = e20,
inference(demodulation,[status(thm)],[c_3542,c_3571]) ).
tcf(c_3576,plain,
( ( e12 = e13 )
| ( e10 = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_96,c_577,c_3258]) ).
tcf(c_3577,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3576,c_246,c_243]) ).
tcf(c_3584,plain,
( ( e12 = e13 )
| ( e10 = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_93,c_577,c_579]) ).
tcf(c_3585,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3584,c_246,c_242]) ).
tcf(c_3592,plain,
( ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e12,e13) = e11 )
| ( op1(e10,e13) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_92,c_577,c_3258]) ).
tcf(c_3593,plain,
op1(e12,e13) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3592,c_244,c_241,c_3118]) ).
tcf(c_3594,plain,
( ( e11 = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(demodulation,[status(thm)],[c_3577,c_3593]) ).
tcf(c_3600,plain,
op1(e12,e12) != e11,
inference(demodulation,[status(thm)],[c_186,c_3593]) ).
tcf(c_3609,plain,
op1(e10,e13) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3594,c_245]) ).
tcf(c_3613,plain,
op1(e10,e12) != e13,
inference(demodulation,[status(thm)],[c_174,c_3609]) ).
tcf(c_3623,plain,
op1(e11,e12) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_88,c_3087,c_3360,c_3613]) ).
tcf(c_3630,plain,
( ( e11 = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_87,c_3593]) ).
tcf(c_3631,plain,
op1(e12,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3630,c_245,c_3360,c_3094]) ).
tcf(c_3638,plain,
( ( e12 = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_86,c_3623]) ).
tcf(c_3639,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3638,c_246]) ).
tcf(c_3657,plain,
( ( e11 = e13 )
| ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_84,c_3623]) ).
tcf(c_3658,plain,
op1(e13,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3657,c_245,c_3600,c_3117]) ).
tcf(c_3659,plain,
( ( e11 = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(demodulation,[status(thm)],[c_3639,c_3658]) ).
tcf(c_3661,plain,
( ( e11 = e12 )
| ( op1(e13,e11) = e12 ) ),
inference(demodulation,[status(thm)],[c_3585,c_3658]) ).
tcf(c_3667,plain,
op1(e13,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3661,c_244]) ).
tcf(c_3672,plain,
( ( op1(e12,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3659,c_244]) ).
tcf(c_3679,plain,
( ( e10 = e13 )
| ( e10 = e11 )
| ( op1(e12,e12) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_82,c_3623,c_3658]) ).
tcf(c_3680,plain,
op1(e12,e12) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3679,c_243,c_241,c_3380]) ).
tcf(c_3681,plain,
( ( e10 = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(demodulation,[status(thm)],[c_3672,c_3680]) ).
tcf(c_3684,plain,
( ( e10 = e12 )
| ( op1(e11,e11) = e11 ) ),
inference(demodulation,[status(thm)],[c_3402,c_3680]) ).
tcf(c_3685,plain,
( ( op1(e12,e10) = e12 )
| ( e10 != e10 ) ),
inference(demodulation,[status(thm)],[c_321,c_3680]) ).
tcf(c_3689,plain,
op1(e12,e10) = e12,
inference(equality_resolution_simp,[status(thm)],[c_3685]) ).
tcf(c_3695,plain,
op1(e11,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3684,c_242]) ).
tcf(c_3707,plain,
op1(e10,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3681,c_242]) ).
tcf(c_3712,plain,
( ( e10 = e13 )
| ( e10 = e12 )
| ( e10 = e11 )
| ( op1(e11,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_73,c_3258,c_3623,c_3695]) ).
tcf(c_3713,plain,
op1(e11,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3712,c_243,c_242,c_241]) ).
tcf(c_3734,plain,
( sP33
| sP35
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( h3(e10) != e20 ) ),
inference(light_normalisation,[status(thm)],[c_596,c_577,c_565,c_405,c_567,c_579,c_3109,c_3112,c_3208,c_3258,c_3340,c_3375,c_3426,c_3442,c_3457,c_3465,c_3492,c_3501,c_3514,c_3524,c_3525,c_3530,c_3533,c_3547,c_3565,c_3575,c_3593,c_3609,c_3623,c_3631,c_3658,c_3667,c_3680,c_3689,c_3695,c_3707,c_3713]) ).
tcf(c_3735,plain,
( sP33
| sP35
| ( h3(e10) != e20 ) ),
inference(equality_resolution_simp,[status(thm)],[c_3734]) ).
tcf(c_3736,plain,
( sP33
| sP35
| ( e20 != e20 ) ),
inference(demodulation,[status(thm)],[c_3735,c_3514]) ).
tcf(c_3737,plain,
( sP33
| sP35 ),
inference(equality_resolution_simp,[status(thm)],[c_3736]) ).
tcf(c_3738,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3737,c_3532,c_3529]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG121+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 04:47:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 1.73/1.18 % SZS status Started for theBenchmark.p
% 1.73/1.18 % SZS status Theorem for theBenchmark.p
% 1.73/1.18
% 1.73/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.73/1.18
% 1.73/1.18 % ------ iProver source info
% 1.73/1.18
% 1.73/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.73/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.73/1.18 % git: non_committed_changes: false
% 1.73/1.18
% 1.73/1.18 % ------ Parsing...
% 1.73/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.73/1.18
% 1.73/1.18 % ------ Preprocessing...%
% 1.73/1.18
% 1.73/1.18 % SZS status Theorem for theBenchmark.p
% 1.73/1.18
% 1.73/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.73/1.19
% 1.73/1.19
%------------------------------------------------------------------------------