%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG110+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 12:53:28 PM UTC 2026
% Result : Theorem 4.42s 1.29s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f43ERROR: Could not build tree for root c_4843ERROR: 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(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e10 = op1(op1(e12,e12),op1(e12,e12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e20 = op2(op2(e22,e22),op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = op2(e20,e20)
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e10) = op2(op2(e20,e20),op2(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(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e13) = op2(e22,e22)
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = op2(e23,e23)
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f44,plain,
( ~ sP3
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f45,plain,
( ~ sP2
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f48,plain,
( ~ sP7
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f49,plain,
( ~ sP6
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f58,plain,
( ~ sP13
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f59,plain,
( ~ sP12
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f60,plain,
( ~ sP11
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f65,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f78,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
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(f90,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
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(f100,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f111,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f115,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
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(f140,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
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(f148,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f169,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f177,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f201,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f203,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f204,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f211,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f214,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f215,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f216,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f217,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f218,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f221,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f224,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f225,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f226,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f227,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f231,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f232,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f233,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f235,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f236,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f240,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f242,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f243,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f247,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f251,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
op2(e21,e20) != op2(e22,e20),
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(f259,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f263,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f265,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f267,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f285,plain,
( ~ sP3
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f44]) ).
fof(f287,plain,
( ~ sP2
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f45]) ).
fof(f313,plain,
( sP2
| e12 = op1(e12,e11)
| e11 != op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f25]) ).
fof(f315,plain,
( sP2
| e12 = op1(e12,e11)
| e11 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f25]) ).
fof(f317,plain,
( sP3
| e12 = op1(e12,e10)
| e10 != op1(e10,e11)
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f25]) ).
fof(f319,plain,
( sP3
| e12 = op1(e12,e10)
| e11 = op1(e11,e10)
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f25]) ).
fof(f321,plain,
( sP3
| e12 = op1(e12,e10)
| e10 != op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f25]) ).
fof(f323,plain,
( sP3
| e12 = op1(e12,e10)
| e11 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f25]) ).
fof(f325,plain,
( ~ sP7
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f48]) ).
fof(f327,plain,
( ~ sP6
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f49]) ).
fof(f353,plain,
( sP6
| e22 = op2(e22,e21)
| e21 != op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f30]) ).
fof(f355,plain,
( sP6
| e22 = op2(e22,e21)
| e21 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f30]) ).
fof(f357,plain,
( sP7
| e22 = op2(e22,e20)
| e20 != op2(e20,e21)
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f30]) ).
fof(f359,plain,
( sP7
| e22 = op2(e22,e20)
| e21 = op2(e21,e20)
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f30]) ).
fof(f361,plain,
( sP7
| e22 = op2(e22,e20)
| e20 != op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f30]) ).
fof(f363,plain,
( sP7
| e22 = op2(e22,e20)
| e21 = op2(e21,e20)
| 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(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f366,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f367,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f368,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f369,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f370,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f373,plain,
e20 = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f374,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f378,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f379,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f380,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f381,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f382,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f383,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f384,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f412,plain,
( ~ sP13
| e21 != h3(e11) ),
inference(cnf_transformation,[],[f58]) ).
fof(f415,plain,
( ~ sP12
| e22 != h3(e12) ),
inference(cnf_transformation,[],[f59]) ).
fof(f418,plain,
( ~ sP11
| e23 != h3(e13) ),
inference(cnf_transformation,[],[f60]) ).
fof(f441,plain,
( sP11
| sP12
| sP13
| 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,[],[f43]) ).
tcf(c_50,plain,
( ( op1(e10,e11) = e13 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_54,plain,
( ( op1(e11,e11) = e13 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e11) = e10 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_57,plain,
( ( op1(e12,e10) = e13 )
| ( op1(e12,e10) = e12 )
| ( op1(e12,e10) = e11 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_60,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_61,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e10) = e12 )
| ( op1(e13,e10) = e11 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_63,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e12) = e10 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_65,plain,
( ( op1(e10,e13) = e10 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_72,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e12,e10) = e13 )
| ( op1(e11,e10) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_76,plain,
( ( op1(e13,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(cnf_transformation,[],[f100]) ).
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_86,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f90]) ).
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_98,plain,
( ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_103,plain,
( ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e20 ) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_105,plain,
( ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e20 ) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_108,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e20 ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_109,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_113,plain,
( ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_119,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_121,plain,
( ( op2(e21,e23) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_124,plain,
( ( op2(e23,e21) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e20,e21) = e21 ) ),
inference(cnf_transformation,[],[f148]) ).
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_132,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(cnf_transformation,[],[f140]) ).
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_148,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f204]) ).
tcf(c_149,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f203]) ).
tcf(c_151,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f201]) ).
tcf(c_153,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f199]) ).
tcf(c_162,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f190]) ).
tcf(c_164,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f188]) ).
tcf(c_165,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f187]) ).
tcf(c_168,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f184]) ).
tcf(c_172,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f180]) ).
tcf(c_173,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f179]) ).
tcf(c_175,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f177]) ).
tcf(c_177,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f175]) ).
tcf(c_179,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f173]) ).
tcf(c_182,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f170]) ).
tcf(c_183,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f169]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f168]) ).
tcf(c_185,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f167]) ).
tcf(c_186,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f166]) ).
tcf(c_187,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f165]) ).
tcf(c_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f164]) ).
tcf(c_189,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f163]) ).
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_196,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f252]) ).
tcf(c_197,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f251]) ).
tcf(c_201,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f247]) ).
tcf(c_205,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f243]) ).
tcf(c_206,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f242]) ).
tcf(c_208,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f240]) ).
tcf(c_212,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f236]) ).
tcf(c_213,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f235]) ).
tcf(c_215,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f233]) ).
tcf(c_216,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f232]) ).
tcf(c_217,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f231]) ).
tcf(c_221,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f227]) ).
tcf(c_222,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f226]) ).
tcf(c_223,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f225]) ).
tcf(c_224,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f224]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f221]) ).
tcf(c_230,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f218]) ).
tcf(c_231,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f217]) ).
tcf(c_232,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f216]) ).
tcf(c_233,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f215]) ).
tcf(c_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f214]) ).
tcf(c_237,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f211]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f259]) ).
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_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f265]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f263]) ).
tcf(c_269,plain,
( ( op1(e13,e10) = e13 )
| ~ sP3 ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_271,plain,
( ( op1(e13,e11) = e13 )
| ~ sP2 ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_277,plain,
( sP3
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_279,plain,
( sP3
| ( op1(e12,e10) = e12 )
| ( op1(e10,e10) = e10 )
| ( op1(e10,e11) != e10 ) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_281,plain,
( sP3
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_283,plain,
( sP3
| ( op1(e12,e10) = e12 )
| ( op1(e10,e11) != e10 )
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_285,plain,
( sP2
| ( op1(e12,e11) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_287,plain,
( sP2
| ( op1(e12,e11) = e12 )
| ( op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11 ) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_309,plain,
( ( op2(e23,e20) = e23 )
| ~ sP7 ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_311,plain,
( ( op2(e23,e21) = e23 )
| ~ sP6 ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_317,plain,
( sP7
| ( op2(e22,e20) = e22 )
| ( op2(e21,e20) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_319,plain,
( sP7
| ( op2(e22,e20) = e22 )
| ( op2(e20,e20) = e20 )
| ( op2(e20,e21) != e20 ) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_321,plain,
( sP7
| ( op2(e22,e20) = e22 )
| ( op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_323,plain,
( sP7
| ( op2(e22,e20) = e22 )
| ( op2(e20,e21) != e20 )
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_325,plain,
( sP6
| ( op2(e22,e21) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_327,plain,
( sP6
| ( op2(e22,e21) = e22 )
| ( op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_349,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(cnf_transformation,[],[f366]) ).
tcf(c_350,plain,
op1(op1(op1(e12,e12),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),op2(e22,e22)) = e20,
inference(cnf_transformation,[],[f369]) ).
tcf(c_353,plain,
op2(op2(op2(e22,e22),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_355,plain,
h1(e12) = e20,
inference(cnf_transformation,[],[f373]) ).
tcf(c_358,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f370]) ).
tcf(c_362,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f374]) ).
tcf(c_363,plain,
h3(e12) = e22,
inference(cnf_transformation,[],[f381]) ).
tcf(c_364,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f380]) ).
tcf(c_365,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f379]) ).
tcf(c_366,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f378]) ).
tcf(c_368,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f384]) ).
tcf(c_369,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = h4(e11),
inference(cnf_transformation,[],[f383]) ).
tcf(c_370,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f382]) ).
tcf(c_396,plain,
( ~ sP13
| ( h3(e11) != e21 ) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_401,plain,
( ~ sP12
| ( h3(e12) != e22 ) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_406,plain,
( ~ sP11
| ( h3(e13) != e23 ) ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_427,negated_conjecture,
( sP11
| sP12
| sP13
| ( 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,[],[f441]) ).
tcf(c_471,plain,
( sP6
| ( op2(e22,e21) = e22 )
| ( op2(e20,e21) = e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_325,c_325,c_327]) ).
tcf(c_473,plain,
( sP7
| ( op2(e22,e20) = e22 )
| ( op2(e21,e20) = e21 ) ),
inference(global_subsumption_just,[status(thm)],[c_317,c_317,c_321]) ).
tcf(c_479,plain,
( sP2
| ( op1(e12,e11) = e12 )
| ( op1(e10,e11) = e10 ) ),
inference(global_subsumption_just,[status(thm)],[c_285,c_285,c_287]) ).
tcf(c_481,plain,
( sP3
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e11 ) ),
inference(global_subsumption_just,[status(thm)],[c_277,c_277,c_281]) ).
tcf(c_497,plain,
( sP6
| ( op2(e22,e21) = e22 )
| ( op2(e20,e21) = e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_327,c_471]) ).
tcf(c_501,plain,
( sP7
| ( op2(e22,e20) = e22 )
| ( op2(e21,e20) = e21 ) ),
inference(global_subsumption_just,[status(thm)],[c_321,c_473]) ).
tcf(c_503,plain,
( sP7
| ( op2(e22,e20) = e22 )
| ( op2(e20,e21) != e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_319,c_319,c_323]) ).
tcf(c_521,plain,
( sP2
| ( op1(e12,e11) = e12 )
| ( op1(e10,e11) = e10 ) ),
inference(global_subsumption_just,[status(thm)],[c_287,c_479]) ).
tcf(c_525,plain,
( sP3
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e11 ) ),
inference(global_subsumption_just,[status(thm)],[c_281,c_481]) ).
tcf(c_527,plain,
( sP3
| ( op1(e12,e10) = e12 )
| ( op1(e10,e11) != e10 ) ),
inference(global_subsumption_just,[status(thm)],[c_279,c_279,c_283]) ).
tcf(c_549,plain,
( sP7
| ( op2(e22,e20) = e22 )
| ( op2(e20,e21) != e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_323,c_503]) ).
tcf(c_573,plain,
( sP3
| ( op1(e12,e10) = e12 )
| ( op1(e10,e11) != e10 ) ),
inference(global_subsumption_just,[status(thm)],[c_283,c_527]) ).
tcf(c_621,plain,
( sP11
| ( 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 )
| sP13 ),
inference(global_subsumption_just,[status(thm)],[c_427,c_363,c_401,c_427]) ).
tcf(c_622,negated_conjecture,
( sP11
| sP13
| ( 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_621]) ).
tcf(c_4843,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_622,c_573,c_549,c_525,c_521,c_501,c_497,c_406,c_396,c_370,c_369,c_368,c_366,c_365,c_364,c_363,c_362,c_358,c_355,c_354,c_353,c_352,c_351,c_350,c_349,c_311,c_309,c_271,c_269,c_251,c_249,c_247,c_246,c_245,c_243,c_237,c_234,c_233,c_232,c_231,c_230,c_227,c_224,c_223,c_222,c_221,c_217,c_216,c_215,c_213,c_212,c_208,c_206,c_205,c_201,c_197,c_196,c_195,c_192,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_179,c_177,c_175,c_173,c_172,c_168,c_165,c_164,c_162,c_153,c_151,c_149,c_148,c_144,c_132,c_128,c_124,c_121,c_119,c_113,c_109,c_108,c_105,c_103,c_98,c_96,c_95,c_86,c_80,c_76,c_72,c_65,c_63,c_61,c_60,c_57,c_54,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG110+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 04:51:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 4.42/1.29 % SZS status Started for theBenchmark.p
% 4.42/1.29 % SZS status Theorem for theBenchmark.p
% 4.42/1.29
% 4.42/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.42/1.29
% 4.42/1.29 % ------ iProver source info
% 4.42/1.29
% 4.42/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.42/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.42/1.29 % git: non_committed_changes: false
% 4.42/1.29
% 4.42/1.29 % ------ Parsing...
% 4.42/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.42/1.29
% 4.42/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 4.42/1.29
% 4.42/1.29 % ------ Preprocessing...%
% 4.42/1.29
% 4.42/1.29 % SZS status Theorem for theBenchmark.p
% 4.42/1.29
% 4.42/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.42/1.29
% 4.42/1.29
%------------------------------------------------------------------------------