%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG107+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 : n018.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 12:53:27 PM UTC 2026
% Result : Theorem 4.28s 1.48s
% Output : CNFRefutation 4.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f41ERROR: Could not build tree for root c_5535ERROR: 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(f10,axiom,
( ( op1(e13,op1(e13,e13)) = e13
& op1(e12,op1(e13,e12)) = e12
& op1(e11,op1(e13,e11)) = e11
& op1(e10,op1(e13,e10)) = e10 )
| ( op1(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 )
| ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 )
| ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(e23,op2(e23,e23)) = e23
& op2(e22,op2(e23,e22)) = e22
& op2(e21,op2(e23,e21)) = e21
& op2(e20,op2(e23,e20)) = e20 )
| ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 )
| ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 )
| ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12))
& e11 = op1(e12,op1(e12,e12))
& e10 = op1(e12,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& e21 = op2(e22,op2(e22,e22))
& e20 = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e10) = op2(e20,e20)
& h1(e12) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e12) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e10) = op2(e22,e22)
& h3(e12) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f42,plain,
( ~ sP2
| ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f43,plain,
( ~ sP1
| ( op1(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f45,plain,
( ~ sP5
| ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f46,plain,
( ~ sP4
| ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f51,plain,
( ~ sP14
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f52,plain,
( ~ sP13
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f53,plain,
( ~ sP12
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f60,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f112,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f134,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f144,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f146,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f161,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f169,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f176,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f177,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f185,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f193,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f196,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f201,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f203,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f209,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f210,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f211,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f212,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f213,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f214,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f215,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f217,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f223,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f225,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f227,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f236,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f237,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f238,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f239,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f243,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f245,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f247,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f250,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f251,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f253,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f254,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f255,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f256,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f257,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f258,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f259,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f260,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f261,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f262,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f263,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f282,plain,
( ~ sP2
| e11 = op1(e11,op1(e11,e11)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f283,plain,
( ~ sP2
| e10 = op1(e10,op1(e11,e10)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f285,plain,
( ~ sP1
| e12 = op1(e12,op1(e12,e12)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f294,plain,
( sP0
| sP1
| sP2
| e11 = op1(e11,op1(e10,e11)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f295,plain,
( sP0
| sP1
| sP2
| e10 = op1(e10,op1(e10,e10)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f298,plain,
( ~ sP5
| e21 = op2(e21,op2(e21,e21)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f299,plain,
( ~ sP5
| e20 = op2(e20,op2(e21,e20)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f301,plain,
( ~ sP4
| e22 = op2(e22,op2(e22,e22)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f309,plain,
( sP3
| sP4
| sP5
| e22 = op2(e22,op2(e20,e22)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f310,plain,
( sP3
| sP4
| sP5
| e21 = op2(e21,op2(e20,e21)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f311,plain,
( sP3
| sP4
| sP5
| e20 = op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f312,plain,
e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f313,plain,
e11 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f314,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f315,plain,
e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f316,plain,
e21 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f317,plain,
e20 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f320,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f322,plain,
h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f323,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f324,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f325,plain,
e21 = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f327,plain,
op2(e22,op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f328,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f347,plain,
( ~ sP14
| e21 != h2(e12) ),
inference(cnf_transformation,[],[f51]) ).
fof(f350,plain,
( ~ sP13
| e22 != h2(e13) ),
inference(cnf_transformation,[],[f52]) ).
fof(f356,plain,
( ~ sP12
| e23 != h2(e11) ),
inference(cnf_transformation,[],[f53]) ).
fof(f393,plain,
( sP12
| sP13
| sP14
| e20 != h2(e10)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_49,plain,
( ( op1(e10,e10) = e13 )
| ( op1(e10,e10) = e12 )
| ( op1(e10,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_50,plain,
( ( op1(e10,e11) = e13 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_52,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e13) = e12 )
| ( op1(e10,e13) = e11 )
| ( op1(e10,e13) = e10 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_54,plain,
( ( op1(e11,e11) = e13 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e11) = e10 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_55,plain,
( ( op1(e11,e12) = e13 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e12) = e10 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_56,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e13) = e12 )
| ( op1(e11,e13) = e11 )
| ( op1(e11,e13) = e10 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_58,plain,
( ( op1(e12,e11) = e13 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e11) = e10 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_60,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_61,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e10) = e12 )
| ( op1(e13,e10) = e11 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_64,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12 )
| ( op1(e13,e13) = e11 )
| ( op1(e13,e13) = e10 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_66,plain,
( ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_67,plain,
( ( op1(e10,e13) = e11 )
| ( op1(e10,e12) = e11 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_74,plain,
( ( op1(e13,e11) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_76,plain,
( ( op1(e13,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_80,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_85,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e10) = e12 ) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_88,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_97,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_98,plain,
( ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_99,plain,
( ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e22) = e20 ) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_108,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e20 ) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_114,plain,
( ( op2(e23,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e21,e20) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_117,plain,
( ( op2(e20,e23) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_118,plain,
( ( op2(e23,e20) = e22 )
| ( op2(e22,e20) = e22 )
| ( op2(e21,e20) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_121,plain,
( ( op2(e21,e23) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_122,plain,
( ( op2(e23,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_124,plain,
( ( op2(e23,e21) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e20,e21) = e21 ) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_125,plain,
( ( op2(e21,e23) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e20) = e22 ) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_126,plain,
( ( op2(e23,e21) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_134,plain,
( ( op2(e23,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_138,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
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,[],[f125]) ).
tcf(c_145,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f203]) ).
tcf(c_146,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f202]) ).
tcf(c_147,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f201]) ).
tcf(c_149,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f199]) ).
tcf(c_150,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f198]) ).
tcf(c_151,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f197]) ).
tcf(c_152,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f196]) ).
tcf(c_154,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f194]) ).
tcf(c_155,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f193]) ).
tcf(c_158,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f190]) ).
tcf(c_160,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f188]) ).
tcf(c_163,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f185]) ).
tcf(c_164,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f184]) ).
tcf(c_166,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f182]) ).
tcf(c_167,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f181]) ).
tcf(c_168,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f180]) ).
tcf(c_169,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f179]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f177]) ).
tcf(c_172,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f176]) ).
tcf(c_173,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f175]) ).
tcf(c_175,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f173]) ).
tcf(c_176,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f172]) ).
tcf(c_177,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f171]) ).
tcf(c_178,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f170]) ).
tcf(c_179,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f169]) ).
tcf(c_180,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f168]) ).
tcf(c_181,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f167]) ).
tcf(c_182,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f166]) ).
tcf(c_183,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f165]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f164]) ).
tcf(c_185,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f163]) ).
tcf(c_186,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f162]) ).
tcf(c_187,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f161]) ).
tcf(c_189,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f159]) ).
tcf(c_193,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f251]) ).
tcf(c_194,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f250]) ).
tcf(c_197,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f247]) ).
tcf(c_199,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f245]) ).
tcf(c_201,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f243]) ).
tcf(c_205,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f239]) ).
tcf(c_206,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f238]) ).
tcf(c_207,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f237]) ).
tcf(c_208,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f236]) ).
tcf(c_217,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f227]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f225]) ).
tcf(c_221,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f223]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f217]) ).
tcf(c_229,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f215]) ).
tcf(c_230,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f214]) ).
tcf(c_231,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f213]) ).
tcf(c_232,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f212]) ).
tcf(c_233,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f211]) ).
tcf(c_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f210]) ).
tcf(c_235,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f209]) ).
tcf(c_236,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f208]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f257]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f256]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f255]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f254]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f253]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f252]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f263]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f262]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f261]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f260]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f259]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f258]) ).
tcf(c_269,plain,
( ( op1(e10,op1(e11,e10)) = e10 )
| ~ sP2 ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_270,plain,
( ( op1(e11,op1(e11,e11)) = e11 )
| ~ sP2 ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_275,plain,
( ( op1(e12,op1(e12,e12)) = e12 )
| ~ sP1 ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_281,plain,
( sP0
| sP1
| sP2
| ( op1(e10,op1(e10,e10)) = e10 ) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_282,plain,
( sP0
| sP1
| sP2
| ( op1(e11,op1(e10,e11)) = e11 ) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_285,plain,
( ( op2(e20,op2(e21,e20)) = e20 )
| ~ sP5 ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_286,plain,
( ( op2(e21,op2(e21,e21)) = e21 )
| ~ sP5 ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_291,plain,
( ( op2(e22,op2(e22,e22)) = e22 )
| ~ sP4 ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_297,plain,
( sP3
| sP4
| sP5
| ( op2(e20,op2(e20,e20)) = e20 ) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_298,plain,
( sP3
| sP4
| sP5
| ( op2(e21,op2(e20,e21)) = e21 ) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_299,plain,
( sP3
| sP4
| sP5
| ( op2(e22,op2(e20,e22)) = e22 ) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_301,plain,
op1(e12,e12) = e10,
inference(cnf_transformation,[],[f314]) ).
tcf(c_302,plain,
op1(e12,op1(e12,e12)) = e11,
inference(cnf_transformation,[],[f313]) ).
tcf(c_303,plain,
op1(op1(e12,op1(e12,e12)),op1(e12,e12)) = e13,
inference(cnf_transformation,[],[f312]) ).
tcf(c_304,plain,
op2(e22,e22) = e20,
inference(cnf_transformation,[],[f317]) ).
tcf(c_305,plain,
op2(e22,op2(e22,e22)) = e21,
inference(cnf_transformation,[],[f316]) ).
tcf(c_306,plain,
op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = e23,
inference(cnf_transformation,[],[f315]) ).
tcf(c_308,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f320]) ).
tcf(c_311,plain,
h2(e12) = e21,
inference(cnf_transformation,[],[f325]) ).
tcf(c_312,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f324]) ).
tcf(c_313,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(cnf_transformation,[],[f323]) ).
tcf(c_314,plain,
op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = h2(e13),
inference(cnf_transformation,[],[f322]) ).
tcf(c_316,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f328]) ).
tcf(c_317,plain,
op2(e22,op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f327]) ).
tcf(c_337,plain,
( ~ sP14
| ( h2(e12) != e21 ) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_342,plain,
( ~ sP13
| ( h2(e13) != e22 ) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_344,plain,
( ~ sP12
| ( h2(e11) != e23 ) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_375,negated_conjecture,
( sP12
| sP13
| sP14
| ( h2(e10) != e20 )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_445,plain,
( sP12
| sP13
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( h2(e10) != e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_375,c_311,c_337,c_375]) ).
tcf(c_446,negated_conjecture,
( sP12
| sP13
| ( h2(e10) != e20 )
| ( op2(h2(e13),h2(e13)) != h2(op1(e13,e13)) )
| ( op2(h2(e13),h2(e12)) != h2(op1(e13,e12)) )
| ( op2(h2(e13),h2(e11)) != h2(op1(e13,e11)) )
| ( op2(h2(e13),h2(e10)) != h2(op1(e13,e10)) )
| ( op2(h2(e12),h2(e13)) != h2(op1(e12,e13)) )
| ( op2(h2(e12),h2(e12)) != h2(op1(e12,e12)) )
| ( op2(h2(e12),h2(e11)) != h2(op1(e12,e11)) )
| ( op2(h2(e12),h2(e10)) != h2(op1(e12,e10)) )
| ( op2(h2(e11),h2(e13)) != h2(op1(e11,e13)) )
| ( op2(h2(e11),h2(e12)) != h2(op1(e11,e12)) )
| ( op2(h2(e11),h2(e11)) != h2(op1(e11,e11)) )
| ( op2(h2(e11),h2(e10)) != h2(op1(e11,e10)) )
| ( op2(h2(e10),h2(e13)) != h2(op1(e10,e13)) )
| ( op2(h2(e10),h2(e12)) != h2(op1(e10,e12)) )
| ( op2(h2(e10),h2(e11)) != h2(op1(e10,e11)) )
| ( op2(h2(e10),h2(e10)) != h2(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_445]) ).
fof(f21,definition,
( ~ sP0
| ( op1(e13,op1(e13,e13)) = e13
& op1(e12,op1(e13,e12)) = e12
& op1(e11,op1(e13,e11)) = e11
& op1(e10,op1(e13,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP1
| ( op1(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP2
| ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,plain,
( sP0
| sP1
| sP2
| ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ),
inference(definition_folding,[],[f10,f23,f22,f21]) ).
fof(f25,definition,
( ~ sP3
| ( op2(e23,op2(e23,e23)) = e23
& op2(e22,op2(e23,e22)) = e22
& op2(e21,op2(e23,e21)) = e21
& op2(e20,op2(e23,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP4
| ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP5
| ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f28,plain,
( sP3
| sP4
| sP5
| ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ),
inference(definition_folding,[],[f11,f27,f26,f25]) ).
fof(f44,plain,
( ~ sP0
| ( op1(e13,op1(e13,e13)) = e13
& op1(e12,op1(e13,e12)) = e12
& op1(e11,op1(e13,e11)) = e11
& op1(e10,op1(e13,e10)) = e10 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f47,plain,
( ~ sP3
| ( op2(e23,op2(e23,e23)) = e23
& op2(e22,op2(e23,e22)) = e22
& op2(e21,op2(e23,e21)) = e21
& op2(e20,op2(e23,e20)) = e20 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f291,plain,
( ~ sP0
| e10 = op1(e10,op1(e13,e10)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f307,plain,
( ~ sP3
| e20 = op2(e20,op2(e23,e20)) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_277,plain,
( ( op1(e10,op1(e13,e10)) = e10 )
| ~ sP0 ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_293,plain,
( ( op2(e20,op2(e23,e20)) = e20 )
| ~ sP3 ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_5535,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_446,c_344,c_342,c_317,c_316,c_314,c_313,c_312,c_311,c_308,c_306,c_305,c_304,c_303,c_302,c_301,c_299,c_298,c_297,c_293,c_291,c_286,c_285,c_282,c_281,c_277,c_275,c_270,c_269,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_227,c_221,c_219,c_217,c_208,c_207,c_206,c_205,c_201,c_199,c_197,c_194,c_193,c_189,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_173,c_172,c_171,c_169,c_168,c_167,c_166,c_164,c_163,c_160,c_158,c_155,c_154,c_152,c_151,c_150,c_149,c_147,c_146,c_145,c_143,c_138,c_134,c_126,c_125,c_124,c_122,c_121,c_118,c_117,c_114,c_108,c_99,c_98,c_97,c_88,c_85,c_80,c_76,c_74,c_67,c_66,c_64,c_61,c_60,c_58,c_56,c_55,c_54,c_52,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG107+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.56 % Computer : n018.cluster.edu
% 0.07/0.56 % Model : x86_64 x86_64
% 0.07/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.56 % Memory : 8046.5625MB
% 0.07/0.56 % OS : Linux 6.8.0-71-generic
% 0.07/0.56 % CPULimit : 300
% 0.07/0.56 % WCLimit : 300
% 0.07/0.56 % DateTime : Fri Sep 25 04:49:35 UTC 2026
% 0.07/0.57 % CPUTime :
% 0.07/0.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.61 Running first-order theorem proving
% 0.07/0.61 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
% 0.07/0.62
% 0.07/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.62
% 0.07/0.62 % Detected problem language: tptp
% 0.12/0.63 % Proving...
% 4.28/1.48 % SZS status Started for theBenchmark.p
% 4.28/1.48 % SZS status Theorem for theBenchmark.p
% 4.28/1.48
% 4.28/1.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.28/1.48
% 4.28/1.48 % ------ iProver source info
% 4.28/1.48
% 4.28/1.48 % git: date: 2026-07-19 20:42:38 +0200
% 4.28/1.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.28/1.48 % git: non_committed_changes: false
% 4.28/1.48
% 4.28/1.48 % ------ Parsing...
% 4.28/1.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.28/1.48
% 4.28/1.48 % ------ Preprocessing... sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 4.28/1.48
% 4.28/1.48 % ------ Preprocessing...%
% 4.28/1.48
% 4.28/1.48 % SZS status Theorem for theBenchmark.p
% 4.28/1.48
% 4.28/1.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.28/1.49
% 4.28/1.49
%------------------------------------------------------------------------------