%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG114+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 3.88s 1.28s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f43ERROR: Could not build tree for root c_3103ERROR: 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e10 = op1(op1(e12,e12),e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e20 = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = op2(e20,e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e12) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e13) = op2(e21,e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e12) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f17,axiom,
( h4(e13) = op2(e23,e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e12) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f44,plain,
( ~ sP3
| ( op1(e10,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f46,plain,
( ~ sP1
| ( op1(e12,e12) != e13
& op1(e13,e13) = e12 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f48,plain,
( ~ sP7
| ( op2(e20,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f50,plain,
( ~ sP5
| ( op2(e22,e22) != e23
& op2(e23,e23) = e22 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f55,plain,
( ~ sP16
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f56,plain,
( ~ sP15
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f57,plain,
( ~ sP14
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f69,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f117,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f134,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f141,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f144,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f205,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f214,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f220,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f221,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f229,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f230,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f246,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f253,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f257,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f258,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f259,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f260,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f261,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f262,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f263,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f264,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f265,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f266,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f267,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f285,plain,
( ~ sP3
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f44]) ).
fof(f288,plain,
( ~ sP1
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f46]) ).
fof(f306,plain,
( sP1
| e12 != op1(e12,e12)
| e12 = op1(e11,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f25]) ).
fof(f307,plain,
( sP1
| e12 = op1(e12,e12)
| e12 = op1(e11,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f25]) ).
fof(f319,plain,
( sP3
| e10 = op1(e12,e12)
| e10 = op1(e11,e11)
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f25]) ).
fof(f323,plain,
( sP3
| e10 = op1(e12,e12)
| e10 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f25]) ).
fof(f325,plain,
( ~ sP7
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f48]) ).
fof(f328,plain,
( ~ sP5
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f50]) ).
fof(f346,plain,
( sP5
| e22 != op2(e22,e22)
| e22 = op2(e21,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f30]) ).
fof(f347,plain,
( sP5
| e22 = op2(e22,e22)
| e22 = op2(e21,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f30]) ).
fof(f359,plain,
( sP7
| e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f30]) ).
fof(f363,plain,
( sP7
| e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f30]) ).
fof(f364,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f365,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f366,plain,
e10 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[],[f12]) ).
fof(f367,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f368,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f369,plain,
e20 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[],[f13]) ).
fof(f370,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f372,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f374,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f375,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f376,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f15]) ).
fof(f377,plain,
e21 = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f382,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f384,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f17]) ).
fof(f399,plain,
( ~ sP16
| e21 != h2(e12) ),
inference(cnf_transformation,[],[f55]) ).
fof(f404,plain,
( ~ sP15
| e22 != h2(e11) ),
inference(cnf_transformation,[],[f56]) ).
fof(f409,plain,
( ~ sP14
| e23 != h2(e10) ),
inference(cnf_transformation,[],[f57]) ).
fof(f442,plain,
( sP14
| sP15
| sP16
| e20 != h2(e13)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_59,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e12) = e10 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_75,plain,
( ( op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_80,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_81,plain,
( ( op1(e12,e13) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_83,plain,
( ( op1(e12,e13) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_84,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_86,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_90,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e12,e13) = e10 )
| ( op1(e11,e13) = e10 )
| ( op1(e10,e13) = e10 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_93,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_94,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e12 )
| ( op1(e10,e13) = e12 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_95,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_96,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_107,plain,
( ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e20 ) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_123,plain,
( ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_128,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_129,plain,
( ( op2(e22,e23) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_131,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_132,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_134,plain,
( ( op2(e23,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_138,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_141,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_142,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e20,e23) = e22 ) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_143,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_144,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_147,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f205]) ).
tcf(c_154,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f198]) ).
tcf(c_170,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f182]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f181]) ).
tcf(c_179,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f173]) ).
tcf(c_180,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f172]) ).
tcf(c_186,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f166]) ).
tcf(c_192,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f160]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f253]) ).
tcf(c_202,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f246]) ).
tcf(c_218,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f230]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f229]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f221]) ).
tcf(c_228,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f220]) ).
tcf(c_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f214]) ).
tcf(c_240,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f208]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f261]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f260]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f259]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f258]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f257]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f256]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f267]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f266]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f265]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f264]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f263]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f262]) ).
tcf(c_269,plain,
( ( op1(e13,e13) = e10 )
| ~ sP3 ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_274,plain,
( ~ sP1
| ( op1(e12,e12) != e13 ) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_277,plain,
( sP3
| ( op1(e12,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_281,plain,
( sP3
| ( op1(e12,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_293,plain,
( sP1
| ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_294,plain,
( sP1
| ( op1(e11,e11) = e12 )
| ( op1(e10,e10) = e12 )
| ( op1(e12,e12) != e12 ) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_309,plain,
( ( op2(e23,e23) = e20 )
| ~ sP7 ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_314,plain,
( ~ sP5
| ( op2(e22,e22) != e23 ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_317,plain,
( sP7
| ( op2(e22,e22) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_321,plain,
( sP7
| ( op2(e22,e22) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_333,plain,
( sP5
| ( op2(e22,e22) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_334,plain,
( sP5
| ( op2(e21,e21) = e22 )
| ( op2(e20,e20) = e22 )
| ( op2(e22,e22) != e22 ) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_349,plain,
op1(op1(e12,e12),e12) = e10,
inference(cnf_transformation,[],[f366]) ).
tcf(c_350,plain,
op1(op1(e12,e12),op1(e12,e12)) = e11,
inference(cnf_transformation,[],[f365]) ).
tcf(c_351,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[],[f364]) ).
tcf(c_352,plain,
op2(op2(e22,e22),e22) = e20,
inference(cnf_transformation,[],[f369]) ).
tcf(c_353,plain,
op2(op2(e22,e22),op2(e22,e22)) = e21,
inference(cnf_transformation,[],[f368]) ).
tcf(c_354,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[],[f367]) ).
tcf(c_356,plain,
op2(op2(e20,e20),e20) = h1(e10),
inference(cnf_transformation,[],[f372]) ).
tcf(c_358,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f370]) ).
tcf(c_359,plain,
h2(e12) = e21,
inference(cnf_transformation,[],[f377]) ).
tcf(c_360,plain,
op2(op2(e21,e21),e21) = h2(e10),
inference(cnf_transformation,[],[f376]) ).
tcf(c_361,plain,
op2(op2(e21,e21),op2(e21,e21)) = h2(e11),
inference(cnf_transformation,[],[f375]) ).
tcf(c_362,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f374]) ).
tcf(c_368,plain,
op2(op2(e23,e23),e23) = h4(e10),
inference(cnf_transformation,[],[f384]) ).
tcf(c_370,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f382]) ).
tcf(c_385,plain,
( ~ sP16
| ( h2(e12) != e21 ) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_388,plain,
( ~ sP15
| ( h2(e11) != e22 ) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_391,plain,
( ~ sP14
| ( h2(e10) != e23 ) ),
inference(cnf_transformation,[],[f409]) ).
tcf(c_426,negated_conjecture,
( sP14
| sP15
| sP16
| ( h2(e13) != e20 )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_477,plain,
( ( op2(e21,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(global_subsumption_just,[status(thm)],[c_333,c_354,c_314,c_333,c_334]) ).
tcf(c_481,plain,
( sP7
| ( op2(e22,e22) = e20 )
| ( op2(e21,e21) = e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_317,c_317,c_321]) ).
tcf(c_485,plain,
( ( op1(e11,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(global_subsumption_just,[status(thm)],[c_293,c_351,c_274,c_293,c_294]) ).
tcf(c_489,plain,
( sP3
| ( op1(e12,e12) = e10 )
| ( op1(e11,e11) = e10 ) ),
inference(global_subsumption_just,[status(thm)],[c_277,c_277,c_281]) ).
tcf(c_501,plain,
( ( op2(e20,e20) = e22 )
| ( op2(e21,e21) = e22 ) ),
inference(global_subsumption_just,[status(thm)],[c_334,c_477]) ).
tcf(c_502,plain,
( ( op2(e21,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(renaming,[status(thm)],[c_501]) ).
tcf(c_509,plain,
( sP7
| ( op2(e22,e22) = e20 )
| ( op2(e21,e21) = e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_321,c_481]) ).
tcf(c_525,plain,
( ( op1(e10,e10) = e12 )
| ( op1(e11,e11) = e12 ) ),
inference(global_subsumption_just,[status(thm)],[c_294,c_485]) ).
tcf(c_526,plain,
( ( op1(e11,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(renaming,[status(thm)],[c_525]) ).
tcf(c_533,plain,
( sP3
| ( op1(e12,e12) = e10 )
| ( op1(e11,e11) = e10 ) ),
inference(global_subsumption_just,[status(thm)],[c_281,c_489]) ).
tcf(c_607,plain,
op2(e22,e22) = e23,
inference(global_subsumption_just,[status(thm)],[c_107,c_354]) ).
tcf(c_613,plain,
op1(e12,e12) = e13,
inference(global_subsumption_just,[status(thm)],[c_59,c_351]) ).
tcf(c_631,plain,
( sP14
| sP15
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( h2(e13) != e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_359,c_385,c_426]) ).
tcf(c_632,negated_conjecture,
( sP14
| sP15
| ( h2(e13) != e20 )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_631]) ).
tcf(c_2621,plain,
op2(e23,e22) = e20,
inference(light_normalisation,[status(thm)],[c_352,c_607]) ).
tcf(c_2622,plain,
op1(e13,e12) = e10,
inference(light_normalisation,[status(thm)],[c_349,c_613]) ).
tcf(c_2630,plain,
( ( h4(e13) = e20 )
| ~ sP7 ),
inference(light_normalisation,[status(thm)],[c_309,c_370]) ).
tcf(c_2645,plain,
op2(h4(e13),e23) = h4(e10),
inference(light_normalisation,[status(thm)],[c_368,c_370]) ).
tcf(c_2648,plain,
op2(h2(e13),e21) = h2(e10),
inference(light_normalisation,[status(thm)],[c_360,c_362]) ).
tcf(c_2649,plain,
op2(h1(e13),e20) = h1(e10),
inference(light_normalisation,[status(thm)],[c_356,c_358]) ).
tcf(c_2672,plain,
h4(e13) != e20,
inference(light_normalisation,[status(thm)],[c_240,c_370,c_2621]) ).
tcf(c_2673,plain,
~ sP7,
inference(backward_subsumption_resolution,[status(thm)],[c_2630,c_2672]) ).
tcf(c_2678,plain,
op2(e22,e23) != e23,
inference(light_normalisation,[status(thm)],[c_234,c_607]) ).
tcf(c_2681,plain,
op2(e21,e23) != h2(e13),
inference(light_normalisation,[status(thm)],[c_227,c_362]) ).
tcf(c_2684,plain,
op2(e20,e23) != h1(e13),
inference(light_normalisation,[status(thm)],[c_219,c_358]) ).
tcf(c_2685,plain,
op2(e20,e22) != h1(e13),
inference(light_normalisation,[status(thm)],[c_218,c_358]) ).
tcf(c_2696,plain,
op2(e22,e21) != h2(e13),
inference(light_normalisation,[status(thm)],[c_202,c_362]) ).
tcf(c_2698,plain,
op2(e23,e20) != h1(e13),
inference(light_normalisation,[status(thm)],[c_195,c_358]) ).
tcf(c_2701,plain,
op1(e13,e13) != e10,
inference(light_normalisation,[status(thm)],[c_192,c_2622]) ).
tcf(c_2702,plain,
~ sP3,
inference(backward_subsumption_resolution,[status(thm)],[c_269,c_2701]) ).
tcf(c_2705,plain,
op1(e12,e13) != e13,
inference(light_normalisation,[status(thm)],[c_186,c_613]) ).
tcf(c_2713,plain,
h4(e13) = e21,
inference(light_normalisation,[status(thm)],[c_353,c_607,c_370]) ).
tcf(c_2720,plain,
op2(e21,e23) = h4(e10),
inference(demodulation,[status(thm)],[c_2645,c_2713]) ).
tcf(c_2724,plain,
op2(e23,e23) = e21,
inference(demodulation,[status(thm)],[c_370,c_2713]) ).
tcf(c_2729,plain,
h2(e13) != h4(e10),
inference(demodulation,[status(thm)],[c_2681,c_2720]) ).
tcf(c_2730,plain,
op2(e21,e22) != h4(e10),
inference(demodulation,[status(thm)],[c_228,c_2720]) ).
tcf(c_2732,plain,
op1(e13,e13) = e11,
inference(light_normalisation,[status(thm)],[c_350,c_613]) ).
tcf(c_2749,plain,
op2(h2(e13),h2(e13)) = h2(e11),
inference(light_normalisation,[status(thm)],[c_361,c_362]) ).
tcf(c_2755,plain,
( ( h2(e13) = e22 )
| ( h1(e13) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_502,c_358,c_362]) ).
tcf(c_2766,plain,
( sP3
| ( e10 = e13 )
| ( op1(e11,e11) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_533,c_613]) ).
tcf(c_2767,plain,
op1(e11,e11) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_2766,c_2702,c_243]) ).
tcf(c_2768,plain,
( ( e10 = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(demodulation,[status(thm)],[c_526,c_2767]) ).
tcf(c_2770,plain,
op1(e12,e11) != e10,
inference(demodulation,[status(thm)],[c_154,c_2767]) ).
tcf(c_2774,plain,
op1(e11,e13) != e10,
inference(demodulation,[status(thm)],[c_179,c_2767]) ).
tcf(c_2776,plain,
op1(e10,e10) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_2768,c_242]) ).
tcf(c_2779,plain,
op1(e13,e10) != e12,
inference(demodulation,[status(thm)],[c_147,c_2776]) ).
tcf(c_2781,plain,
op1(e10,e12) != e12,
inference(demodulation,[status(thm)],[c_170,c_2776]) ).
tcf(c_2782,plain,
op1(e10,e13) != e12,
inference(demodulation,[status(thm)],[c_171,c_2776]) ).
tcf(c_2785,plain,
( sP7
| ( e20 = e23 )
| ( h2(e13) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_509,c_607,c_362]) ).
tcf(c_2786,plain,
h2(e13) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2785,c_2673,c_249]) ).
tcf(c_2787,plain,
( ( e20 = e22 )
| ( h1(e13) = e22 ) ),
inference(demodulation,[status(thm)],[c_2755,c_2786]) ).
tcf(c_2788,plain,
op2(e20,e20) = h2(e11),
inference(demodulation,[status(thm)],[c_2749,c_2786]) ).
tcf(c_2791,plain,
h4(e10) != e20,
inference(demodulation,[status(thm)],[c_2729,c_2786]) ).
tcf(c_2793,plain,
op2(e22,e21) != e20,
inference(demodulation,[status(thm)],[c_2696,c_2786]) ).
tcf(c_2798,plain,
op2(e20,e21) = h2(e10),
inference(demodulation,[status(thm)],[c_2648,c_2786]) ).
tcf(c_2801,plain,
op2(e21,e21) = e20,
inference(demodulation,[status(thm)],[c_362,c_2786]) ).
tcf(c_2808,plain,
h1(e13) = h2(e11),
inference(light_normalisation,[status(thm)],[c_2788,c_358]) ).
tcf(c_2809,plain,
( ~ sP15
| ( h1(e13) != e22 ) ),
inference(demodulation,[status(thm)],[c_388,c_2808]) ).
tcf(c_2819,plain,
h1(e13) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_2787,c_248]) ).
tcf(c_2820,plain,
( ~ sP15
| ( e22 != e22 ) ),
inference(demodulation,[status(thm)],[c_2809,c_2819]) ).
tcf(c_2822,plain,
h2(e11) = e22,
inference(demodulation,[status(thm)],[c_2808,c_2819]) ).
tcf(c_2827,plain,
op2(e23,e20) != e22,
inference(demodulation,[status(thm)],[c_2698,c_2819]) ).
tcf(c_2828,plain,
op2(e20,e22) != e22,
inference(demodulation,[status(thm)],[c_2685,c_2819]) ).
tcf(c_2829,plain,
op2(e20,e23) != e22,
inference(demodulation,[status(thm)],[c_2684,c_2819]) ).
tcf(c_2830,plain,
op2(e22,e20) = h1(e10),
inference(demodulation,[status(thm)],[c_2649,c_2819]) ).
tcf(c_2834,plain,
op2(e20,e20) = e22,
inference(demodulation,[status(thm)],[c_358,c_2819]) ).
tcf(c_2846,plain,
~ sP15,
inference(equality_resolution_simp,[status(thm)],[c_2820]) ).
tcf(c_2875,plain,
( ( e21 = e23 )
| ( h4(e10) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_144,c_2720,c_2724]) ).
tcf(c_2876,plain,
( ( h4(e10) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2875,c_251,c_2678]) ).
tcf(c_2883,plain,
( ( e21 = e23 )
| ( e20 = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_143,c_2621,c_2724]) ).
tcf(c_2884,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2883,c_251,c_249]) ).
tcf(c_2891,plain,
( ( e21 = e22 )
| ( h4(e10) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e20,e23) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_142,c_2720,c_2724]) ).
tcf(c_2892,plain,
( ( h4(e10) = e22 )
| ( op2(e22,e23) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2891,c_250,c_2829]) ).
tcf(c_2899,plain,
( ( e21 = e22 )
| ( e20 = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_141,c_2621,c_2724]) ).
tcf(c_2900,plain,
op2(e23,e21) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_2899,c_250,c_248,c_2827]) ).
tcf(c_2901,plain,
( ( e22 = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(demodulation,[status(thm)],[c_2884,c_2900]) ).
tcf(c_2907,plain,
op2(e23,e20) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2901,c_252]) ).
tcf(c_2913,plain,
( ( e20 = e21 )
| ( h4(e10) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_138,c_2720,c_2724]) ).
tcf(c_2914,plain,
( ( op2(e22,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2913,c_247,c_2791]) ).
tcf(c_2921,plain,
( ( e22 = e23 )
| ( e20 = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_134,c_607,c_2621]) ).
tcf(c_2922,plain,
op2(e21,e22) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_2921,c_252,c_248,c_2828]) ).
tcf(c_2923,plain,
h4(e10) != e22,
inference(demodulation,[status(thm)],[c_2730,c_2922]) ).
tcf(c_2928,plain,
op2(e22,e23) = e22,
inference(backward_subsumption_resolution,[status(thm)],[c_2892,c_2923]) ).
tcf(c_2929,plain,
( ( e20 = e22 )
| ( op2(e20,e23) = e20 ) ),
inference(demodulation,[status(thm)],[c_2914,c_2928]) ).
tcf(c_2936,plain,
op2(e20,e23) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2929,c_248]) ).
tcf(c_2937,plain,
( ( e20 = e23 )
| ( h4(e10) = e23 ) ),
inference(demodulation,[status(thm)],[c_2876,c_2936]) ).
tcf(c_2943,plain,
h4(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2937,c_249]) ).
tcf(c_2948,plain,
op2(e21,e23) = e23,
inference(demodulation,[status(thm)],[c_2720,c_2943]) ).
tcf(c_2949,plain,
( ( e21 = e23 )
| ( e21 = e22 )
| ( e20 = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_132,c_607,c_2621,c_2922]) ).
tcf(c_2950,plain,
op2(e20,e22) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_2949,c_251,c_250,c_247]) ).
tcf(c_2955,plain,
( ( e21 = e23 )
| ( e21 = e22 )
| ( h1(e10) = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_131,c_607,c_2830,c_2928]) ).
tcf(c_2956,plain,
( ( h1(e10) = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2955,c_251,c_250]) ).
tcf(c_2963,plain,
( ( e20 = e23 )
| ( e20 = e22 )
| ( h1(e10) = e20 )
| ( op2(e22,e21) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_129,c_607,c_2830,c_2928]) ).
tcf(c_2964,plain,
h1(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2963,c_249,c_248,c_2793]) ).
tcf(c_2965,plain,
( ( e20 = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(demodulation,[status(thm)],[c_2956,c_2964]) ).
tcf(c_2970,plain,
op2(e22,e20) = e20,
inference(demodulation,[status(thm)],[c_2830,c_2964]) ).
tcf(c_2972,plain,
op2(e22,e21) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_2965,c_247]) ).
tcf(c_2977,plain,
( ( e22 = e23 )
| ( e21 = e23 )
| ( e20 = e23 )
| ( h2(e10) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_128,c_2798,c_2801,c_2900,c_2972]) ).
tcf(c_2978,plain,
h2(e10) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2977,c_252,c_251,c_249]) ).
tcf(c_2982,plain,
op2(e20,e21) = e23,
inference(demodulation,[status(thm)],[c_2798,c_2978]) ).
tcf(c_2983,plain,
( ~ sP14
| ( e23 != e23 ) ),
inference(demodulation,[status(thm)],[c_391,c_2978]) ).
tcf(c_2984,plain,
~ sP14,
inference(equality_resolution_simp,[status(thm)],[c_2983]) ).
tcf(c_2985,plain,
( ( e21 = e23 )
| ( e21 = e22 )
| ( e20 = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_123,c_2801,c_2922,c_2948]) ).
tcf(c_2986,plain,
op2(e21,e20) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_2985,c_251,c_250,c_247]) ).
tcf(c_2990,plain,
( ( e11 = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_96,c_2732]) ).
tcf(c_2991,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2990,c_245,c_2705]) ).
tcf(c_2994,plain,
( ( e11 = e13 )
| ( e10 = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_95,c_2622,c_2732]) ).
tcf(c_2995,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2994,c_245,c_243]) ).
tcf(c_3002,plain,
( ( e11 = e12 )
| ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e12 )
| ( op1(e10,e13) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_94,c_2732]) ).
tcf(c_3003,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3002,c_244,c_2782]) ).
tcf(c_3010,plain,
( ( e11 = e12 )
| ( e10 = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_93,c_2622,c_2732]) ).
tcf(c_3011,plain,
op1(e13,e11) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3010,c_244,c_242,c_2779]) ).
tcf(c_3012,plain,
( ( e12 = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(demodulation,[status(thm)],[c_2995,c_3011]) ).
tcf(c_3018,plain,
op1(e13,e10) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3012,c_246]) ).
tcf(c_3024,plain,
( ( e10 = e11 )
| ( op1(e12,e13) = e10 )
| ( op1(e11,e13) = e10 )
| ( op1(e10,e13) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_90,c_2732]) ).
tcf(c_3025,plain,
( ( op1(e12,e13) = e10 )
| ( op1(e10,e13) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3024,c_241,c_2774]) ).
tcf(c_3032,plain,
( ( e12 = e13 )
| ( e10 = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_86,c_613,c_2622]) ).
tcf(c_3033,plain,
op1(e11,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3032,c_246,c_242,c_2781]) ).
tcf(c_3038,plain,
op1(e11,e13) != e12,
inference(demodulation,[status(thm)],[c_180,c_3033]) ).
tcf(c_3039,plain,
op1(e12,e13) = e12,
inference(backward_subsumption_resolution,[status(thm)],[c_3003,c_3038]) ).
tcf(c_3040,plain,
( ( e10 = e12 )
| ( op1(e10,e13) = e10 ) ),
inference(demodulation,[status(thm)],[c_3025,c_3039]) ).
tcf(c_3047,plain,
op1(e10,e13) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3040,c_242]) ).
tcf(c_3048,plain,
( ( e10 = e13 )
| ( op1(e11,e13) = e13 ) ),
inference(demodulation,[status(thm)],[c_2991,c_3047]) ).
tcf(c_3054,plain,
op1(e11,e13) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3048,c_243]) ).
tcf(c_3059,plain,
( ( e11 = e13 )
| ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_84,c_613,c_2622,c_3033]) ).
tcf(c_3060,plain,
op1(e10,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3059,c_245,c_244,c_241]) ).
tcf(c_3065,plain,
( ( e11 = e13 )
| ( e11 = e12 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_83,c_613,c_3039]) ).
tcf(c_3066,plain,
( ( op1(e12,e11) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3065,c_245,c_244]) ).
tcf(c_3069,plain,
( ( e10 = e13 )
| ( e10 = e12 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_81,c_613,c_3039]) ).
tcf(c_3070,plain,
op1(e12,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3069,c_243,c_242,c_2770]) ).
tcf(c_3071,plain,
( ( e10 = e11 )
| ( op1(e12,e11) = e11 ) ),
inference(demodulation,[status(thm)],[c_3066,c_3070]) ).
tcf(c_3076,plain,
op1(e12,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3071,c_241]) ).
tcf(c_3081,plain,
( ( e12 = e13 )
| ( e11 = e13 )
| ( e10 = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_80,c_2767,c_3011,c_3076]) ).
tcf(c_3082,plain,
op1(e10,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_3081,c_246,c_245,c_243]) ).
tcf(c_3086,plain,
( ( e11 = e13 )
| ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_75,c_2767,c_3033,c_3054]) ).
tcf(c_3087,plain,
op1(e11,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_3086,c_245,c_244,c_241]) ).
tcf(c_3099,plain,
( sP14
| sP15
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( h2(e13) != e20 ) ),
inference(light_normalisation,[status(thm)],[c_632,c_613,c_607,c_359,c_2621,c_2622,c_2724,c_2732,c_2767,c_2776,c_2786,c_2801,c_2822,c_2834,c_2900,c_2907,c_2922,c_2928,c_2936,c_2948,c_2950,c_2970,c_2972,c_2978,c_2982,c_2986,c_3011,c_3018,c_3033,c_3039,c_3047,c_3054,c_3060,c_3070,c_3076,c_3082,c_3087]) ).
tcf(c_3100,plain,
( sP14
| sP15
| ( h2(e13) != e20 ) ),
inference(equality_resolution_simp,[status(thm)],[c_3099]) ).
tcf(c_3101,plain,
( sP14
| sP15
| ( e20 != e20 ) ),
inference(demodulation,[status(thm)],[c_3100,c_2786]) ).
tcf(c_3102,plain,
( sP14
| sP15 ),
inference(equality_resolution_simp,[status(thm)],[c_3101]) ).
tcf(c_3103,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3102,c_2984,c_2846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG114+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 04:51:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/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...
% 3.88/1.28 % SZS status Started for theBenchmark.p
% 3.88/1.28 % SZS status Theorem for theBenchmark.p
% 3.88/1.28
% 3.88/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.88/1.28
% 3.88/1.28 % ------ iProver source info
% 3.88/1.28
% 3.88/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.88/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.88/1.28 % git: non_committed_changes: false
% 3.88/1.28
% 3.88/1.28 % ------ Parsing...
% 3.88/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.88/1.28
% 3.88/1.28 % ------ Preprocessing...%
% 3.88/1.28
% 3.88/1.28 % SZS status Theorem for theBenchmark.p
% 3.88/1.28
% 3.88/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.88/1.28
% 3.88/1.28
%------------------------------------------------------------------------------