%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG111+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 3.85s 1.37s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f33ERROR: Could not build tree for root c_3176ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e12) != e13
| op1(e13,e13) != e13 )
& ( op1(e11,e11) != e13
| op1(e13,e13) != e13 )
& ( op1(e10,e10) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e12,e12) != e12
| op1(e13,e12) != e13 )
& ( op1(e11,e11) != e12
| op1(e13,e12) != e13 )
& ( op1(e10,e10) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e12,e12) != e11
| op1(e13,e11) != e13 )
& ( op1(e11,e11) != e11
| op1(e13,e11) != e13 )
& ( op1(e10,e10) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( op1(e12,e12) != e10
| op1(e13,e10) != e13 )
& ( op1(e11,e11) != e10
| op1(e13,e10) != e13 )
& ( op1(e10,e10) != e10
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e11,e11) != e13
| op1(e12,e13) != e12 )
& ( op1(e10,e10) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e11) != e12
| op1(e12,e12) != e12 )
& ( op1(e10,e10) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e11,e11) != e11
| op1(e12,e11) != e12 )
& ( op1(e10,e10) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e10
| op1(e12,e10) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e11,e11) != e10
| op1(e12,e10) != e12 )
& ( op1(e10,e10) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e10,e10) != e13
| op1(e11,e13) != e11 )
& ( op1(e13,e13) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e10,e10) != e12
| op1(e11,e12) != e11 )
& ( op1(e13,e13) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11 )
& ( op1(e13,e13) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e11,e10) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e10,e10) != e10
| op1(e11,e10) != e11 )
& ( op1(e13,e13) != e13
| op1(e10,e13) != e10 )
& ( op1(e12,e12) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e13,e13) != e12
| op1(e10,e12) != e10 )
& ( op1(e12,e12) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e13,e13) != e11
| op1(e10,e11) != e10 )
& ( op1(e12,e12) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e13,e13) != e10
| op1(e10,e10) != e10 )
& ( op1(e12,e12) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e22) != e23
| op2(e23,e23) != e23 )
& ( op2(e21,e21) != e23
| op2(e23,e23) != e23 )
& ( op2(e20,e20) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e22,e22) != e22
| op2(e23,e22) != e23 )
& ( op2(e21,e21) != e22
| op2(e23,e22) != e23 )
& ( op2(e20,e20) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e22,e22) != e21
| op2(e23,e21) != e23 )
& ( op2(e21,e21) != e21
| op2(e23,e21) != e23 )
& ( op2(e20,e20) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( op2(e22,e22) != e20
| op2(e23,e20) != e23 )
& ( op2(e21,e21) != e20
| op2(e23,e20) != e23 )
& ( op2(e20,e20) != e20
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e21,e21) != e23
| op2(e22,e23) != e22 )
& ( op2(e20,e20) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e21) != e22
| op2(e22,e22) != e22 )
& ( op2(e20,e20) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e21,e21) != e21
| op2(e22,e21) != e22 )
& ( op2(e20,e20) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e20
| op2(e22,e20) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e21,e21) != e20
| op2(e22,e20) != e22 )
& ( op2(e20,e20) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e20,e20) != e23
| op2(e21,e23) != e21 )
& ( op2(e23,e23) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e20,e20) != e22
| op2(e21,e22) != e21 )
& ( op2(e23,e23) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21 )
& ( op2(e23,e23) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e21,e20) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e20,e20) != e20
| op2(e21,e20) != e21 )
& ( op2(e23,e23) != e23
| op2(e20,e23) != e20 )
& ( op2(e22,e22) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e23,e23) != e22
| op2(e20,e22) != e20 )
& ( op2(e22,e22) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e23,e23) != e21
| op2(e20,e21) != e20 )
& ( op2(e22,e22) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e23,e23) != e20
| op2(e20,e20) != e20 )
& ( op2(e22,e22) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f37,plain,
( ~ sP8
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f38,plain,
( ~ sP7
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f39,plain,
( ~ sP6
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f58,plain,
( ~ sP8
| e21 != h2(e13) ),
inference(cnf_transformation,[],[f37]) ).
fof(f65,plain,
( ~ sP7
| e22 != h2(e10) ),
inference(cnf_transformation,[],[f38]) ).
fof(f68,plain,
( ~ sP6
| e23 != h2(e11) ),
inference(cnf_transformation,[],[f39]) ).
fof(f103,plain,
( sP6
| sP7
| sP8
| e20 != h2(e12)
| 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,[],[f33]) ).
fof(f110,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f111,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f112,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f114,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f115,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f132,plain,
e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f133,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f134,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f143,plain,
( e11 != op1(e13,e13)
| e13 != op1(e13,e11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f153,plain,
( e13 != op1(e11,e11)
| e12 != op1(e12,e13) ),
inference(cnf_transformation,[],[f10]) ).
fof(f159,plain,
( e11 != op1(e13,e13)
| e12 != op1(e12,e11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f164,plain,
( e10 != op1(e12,e12)
| e12 != op1(e12,e10) ),
inference(cnf_transformation,[],[f10]) ).
fof(f185,plain,
( e13 != op1(e11,e11)
| e10 != op1(e10,e13) ),
inference(cnf_transformation,[],[f10]) ).
fof(f191,plain,
( e11 != op1(e13,e13)
| e10 != op1(e10,e11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f204,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f205,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f207,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f212,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f222,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f248,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f252,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f257,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f258,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f263,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f267,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f268,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f277,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f278,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f283,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f284,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f287,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f294,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f295,plain,
e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f296,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f297,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f306,plain,
( e21 != op2(e23,e23)
| e23 != op2(e23,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f316,plain,
( e23 != op2(e21,e21)
| e22 != op2(e22,e23) ),
inference(cnf_transformation,[],[f11]) ).
fof(f322,plain,
( e21 != op2(e23,e23)
| e22 != op2(e22,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f327,plain,
( e20 != op2(e22,e22)
| e22 != op2(e22,e20) ),
inference(cnf_transformation,[],[f11]) ).
fof(f348,plain,
( e23 != op2(e21,e21)
| e20 != op2(e20,e23) ),
inference(cnf_transformation,[],[f11]) ).
fof(f354,plain,
( e21 != op2(e23,e23)
| e20 != op2(e20,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f362,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f363,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f364,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f366,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f367,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f373,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f374,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f376,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f381,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f383,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f391,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f392,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f393,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f413,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f416,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f417,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f421,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f426,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f427,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f432,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f436,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f437,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f446,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f447,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f452,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f453,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f456,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f463,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f465,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f468,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f469,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f470,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f471,plain,
e21 = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f473,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f474,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f16]) ).
tcf(c_64,plain,
( ~ sP8
| ( h2(e13) != e21 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_65,plain,
( ~ sP7
| ( h2(e10) != e22 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_70,plain,
( ~ sP6
| ( h2(e11) != e23 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_103,negated_conjecture,
( sP6
| sP7
| sP8
| ( h2(e12) != 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,[],[f103]) ).
tcf(c_113,plain,
e10 != e11,
inference(cnf_transformation,[],[f115]) ).
tcf(c_114,plain,
e10 != e12,
inference(cnf_transformation,[],[f114]) ).
tcf(c_116,plain,
e11 != e12,
inference(cnf_transformation,[],[f112]) ).
tcf(c_117,plain,
e11 != e13,
inference(cnf_transformation,[],[f111]) ).
tcf(c_118,plain,
e12 != e13,
inference(cnf_transformation,[],[f110]) ).
tcf(c_135,plain,
op1(e13,op1(e13,e13)) = e10,
inference(cnf_transformation,[],[f134]) ).
tcf(c_136,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[],[f133]) ).
tcf(c_137,plain,
op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = e12,
inference(cnf_transformation,[],[f132]) ).
tcf(c_138,plain,
op1(e10,e10) != e10,
inference(cnf_transformation,[],[f480]) ).
tcf(c_145,plain,
( ( op1(e13,e13) != e11 )
| ( op1(e10,e11) != e10 ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_151,plain,
( ( op1(e11,e11) != e13 )
| ( op1(e10,e13) != e10 ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_159,plain,
op1(e11,e11) != e11,
inference(cnf_transformation,[],[f481]) ).
tcf(c_172,plain,
( ( op1(e12,e12) != e10 )
| ( op1(e12,e10) != e12 ) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_177,plain,
( ( op1(e13,e13) != e11 )
| ( op1(e12,e11) != e12 ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_180,plain,
op1(e12,e12) != e12,
inference(cnf_transformation,[],[f482]) ).
tcf(c_183,plain,
( ( op1(e12,e13) != e12 )
| ( op1(e11,e11) != e13 ) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_193,plain,
( ( op1(e13,e13) != e11 )
| ( op1(e13,e11) != e13 ) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_201,plain,
op1(e13,e13) != e13,
inference(cnf_transformation,[],[f483]) ).
tcf(c_204,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f244]) ).
tcf(c_224,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f224]) ).
tcf(c_225,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f223]) ).
tcf(c_226,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f222]) ).
tcf(c_234,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f214]) ).
tcf(c_236,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f212]) ).
tcf(c_241,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f207]) ).
tcf(c_243,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f205]) ).
tcf(c_244,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f204]) ).
tcf(c_250,plain,
( ( op1(e10,e13) = e10 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_251,plain,
( ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_260,plain,
( ( op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_261,plain,
( ( op1(e13,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_265,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_270,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e10) = e12 ) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_271,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_276,plain,
( ( op1(e13,e13) = e11 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e10) = e11 ) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_280,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_281,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_282,plain,
( ( op1(e10,e10) = e13 )
| ( op1(e10,e10) = e12 )
| ( op1(e10,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_289,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e13) = e12 )
| ( op1(e11,e13) = e11 )
| ( op1(e11,e13) = e10 ) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_292,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e12) = e10 ) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_293,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_298,plain,
op2(e23,op2(e23,e23)) = e20,
inference(cnf_transformation,[],[f297]) ).
tcf(c_299,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f296]) ).
tcf(c_300,plain,
op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
inference(cnf_transformation,[],[f295]) ).
tcf(c_301,plain,
op2(e20,e20) != e20,
inference(cnf_transformation,[],[f484]) ).
tcf(c_308,plain,
( ( op2(e20,e21) != e20 )
| ( op2(e23,e23) != e21 ) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_314,plain,
( ( op2(e20,e23) != e20 )
| ( op2(e21,e21) != e23 ) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_322,plain,
op2(e21,e21) != e21,
inference(cnf_transformation,[],[f485]) ).
tcf(c_335,plain,
( ( op2(e22,e20) != e22 )
| ( op2(e22,e22) != e20 ) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_340,plain,
( ( op2(e23,e23) != e21 )
| ( op2(e22,e21) != e22 ) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_343,plain,
op2(e22,e22) != e22,
inference(cnf_transformation,[],[f486]) ).
tcf(c_346,plain,
( ( op2(e22,e23) != e22 )
| ( op2(e21,e21) != e23 ) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_356,plain,
( ( op2(e23,e23) != e21 )
| ( op2(e23,e21) != e23 ) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_364,plain,
op2(e23,e23) != e23,
inference(cnf_transformation,[],[f487]) ).
tcf(c_365,plain,
e21 != e20,
inference(cnf_transformation,[],[f367]) ).
tcf(c_366,plain,
e22 != e20,
inference(cnf_transformation,[],[f366]) ).
tcf(c_368,plain,
e21 != e22,
inference(cnf_transformation,[],[f364]) ).
tcf(c_369,plain,
e21 != e23,
inference(cnf_transformation,[],[f363]) ).
tcf(c_370,plain,
e22 != e23,
inference(cnf_transformation,[],[f362]) ).
tcf(c_373,plain,
op2(e23,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f413]) ).
tcf(c_393,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f393]) ).
tcf(c_394,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f392]) ).
tcf(c_395,plain,
op2(e20,e21) != op2(e20,e20),
inference(cnf_transformation,[],[f391]) ).
tcf(c_403,plain,
op2(e21,e23) != op2(e21,e20),
inference(cnf_transformation,[],[f383]) ).
tcf(c_405,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f381]) ).
tcf(c_410,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f376]) ).
tcf(c_412,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f374]) ).
tcf(c_413,plain,
op2(e23,e21) != op2(e23,e20),
inference(cnf_transformation,[],[f373]) ).
tcf(c_419,plain,
( ( op2(e20,e20) = e20 )
| ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_420,plain,
( ( op2(e20,e20) = e20 )
| ( op2(e23,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f446]) ).
tcf(c_429,plain,
( ( op2(e21,e20) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21 ) ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_430,plain,
( ( op2(e20,e21) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e21,e21) = e21 ) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_434,plain,
( ( op2(e20,e21) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 ) ),
inference(cnf_transformation,[],[f432]) ).
tcf(c_439,plain,
( ( op2(e22,e20) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e21) = e22 ) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_440,plain,
( ( op2(e20,e22) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_445,plain,
( ( op2(e23,e20) = e21 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e21) = e21 ) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_449,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e21) = e23 ) ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_450,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 ) ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_451,plain,
( ( op2(e20,e20) = e20 )
| ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e21 ) ),
inference(cnf_transformation,[],[f463]) ).
tcf(c_458,plain,
( ( op2(e21,e23) = e20 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e21 ) ),
inference(cnf_transformation,[],[f456]) ).
tcf(c_461,plain,
( ( op2(e22,e22) = e20 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e21 ) ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_462,plain,
( ( op2(e22,e23) = e20 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e21 ) ),
inference(cnf_transformation,[],[f452]) ).
tcf(c_469,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f465]) ).
tcf(c_471,plain,
h2(e13) = e21,
inference(cnf_transformation,[],[f471]) ).
tcf(c_472,plain,
op2(e21,op2(e21,e21)) = h2(e10),
inference(cnf_transformation,[],[f470]) ).
tcf(c_473,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f469]) ).
tcf(c_474,plain,
op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f468]) ).
tcf(c_476,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f474]) ).
tcf(c_477,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f473]) ).
tcf(c_643,plain,
( ( op2(e22,e22) = e20 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e21 ) ),
inference(global_subsumption_just,[status(thm)],[c_461,c_343,c_461]) ).
tcf(c_651,plain,
( ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e23 ) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_301,c_451]) ).
tcf(c_652,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e21 ) ),
inference(renaming,[status(thm)],[c_651]) ).
tcf(c_653,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e22,e23) = e23 ) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_364,c_450]) ).
tcf(c_654,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 ) ),
inference(renaming,[status(thm)],[c_653]) ).
tcf(c_655,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e22) = e23 ) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_299,c_364,c_356,c_449]) ).
tcf(c_659,plain,
op2(e23,e23) = e21,
inference(global_subsumption_just,[status(thm)],[c_445,c_299]) ).
tcf(c_661,plain,
( ( op2(e20,e22) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_343,c_440]) ).
tcf(c_663,plain,
( ( op2(e22,e20) = e22 )
| ( op2(e22,e23) = e22 ) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_299,c_343,c_340,c_439]) ).
tcf(c_665,plain,
( ( op2(e20,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e22,e21) = e23 ) ),
inference(global_subsumption_just,[status(thm)],[c_434,c_299,c_356,c_434]) ).
tcf(c_666,plain,
( ( op2(e20,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 ) ),
inference(renaming,[status(thm)],[c_665]) ).
tcf(c_669,plain,
( ( op2(e20,e21) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_322,c_430]) ).
tcf(c_671,plain,
( ( op2(e21,e20) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(global_subsumption_just,[status(thm)],[c_429,c_322,c_429]) ).
tcf(c_675,plain,
( ( op2(e21,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e23,e20) = e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_301,c_420]) ).
tcf(c_676,plain,
( ( op2(e23,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(renaming,[status(thm)],[c_675]) ).
tcf(c_677,plain,
( ( op2(e20,e22) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_299,c_301,c_308,c_419]) ).
tcf(c_678,plain,
( ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 ) ),
inference(renaming,[status(thm)],[c_677]) ).
tcf(c_683,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e12) = e11 ) ),
inference(global_subsumption_just,[status(thm)],[c_292,c_180,c_292]) ).
tcf(c_684,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e12) = e10 ) ),
inference(renaming,[status(thm)],[c_683]) ).
tcf(c_691,plain,
( ( op1(e10,e10) = e13 )
| ( op1(e10,e10) = e12 )
| ( op1(e10,e10) = e11 ) ),
inference(global_subsumption_just,[status(thm)],[c_282,c_138,c_282]) ).
tcf(c_693,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e12,e13) = e13 ) ),
inference(global_subsumption_just,[status(thm)],[c_281,c_201,c_281]) ).
tcf(c_694,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(renaming,[status(thm)],[c_693]) ).
tcf(c_695,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e12) = e13 ) ),
inference(global_subsumption_just,[status(thm)],[c_280,c_136,c_201,c_193,c_280]) ).
tcf(c_696,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(renaming,[status(thm)],[c_695]) ).
tcf(c_699,plain,
op1(e13,e13) = e11,
inference(global_subsumption_just,[status(thm)],[c_276,c_136]) ).
tcf(c_701,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e10,e12) = e12 )
| ( op1(e11,e12) = e12 ) ),
inference(global_subsumption_just,[status(thm)],[c_271,c_180,c_271]) ).
tcf(c_702,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(renaming,[status(thm)],[c_701]) ).
tcf(c_703,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e10) = e12 ) ),
inference(global_subsumption_just,[status(thm)],[c_270,c_136,c_180,c_177,c_270]) ).
tcf(c_705,plain,
( ( op1(e10,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e12,e11) = e13 ) ),
inference(global_subsumption_just,[status(thm)],[c_265,c_136,c_193,c_265]) ).
tcf(c_706,plain,
( ( op1(e12,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(renaming,[status(thm)],[c_705]) ).
tcf(c_709,plain,
( ( op1(e13,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(global_subsumption_just,[status(thm)],[c_261,c_159,c_261]) ).
tcf(c_711,plain,
( ( op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(global_subsumption_just,[status(thm)],[c_260,c_159,c_260]) ).
tcf(c_715,plain,
( ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(global_subsumption_just,[status(thm)],[c_251,c_138,c_251]) ).
tcf(c_717,plain,
( ( op1(e10,e13) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(global_subsumption_just,[status(thm)],[c_250,c_136,c_138,c_145,c_250]) ).
tcf(c_737,plain,
( sP6
| sP7
| ( 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(e12) != e20 ) ),
inference(global_subsumption_just,[status(thm)],[c_103,c_471,c_64,c_103]) ).
tcf(c_738,negated_conjecture,
( sP6
| sP7
| ( h2(e12) != 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_737]) ).
tcf(c_2577,plain,
op2(e23,e21) = e20,
inference(light_normalisation,[status(thm)],[c_298,c_659]) ).
tcf(c_2579,plain,
op1(e13,e11) = e10,
inference(light_normalisation,[status(thm)],[c_135,c_699]) ).
tcf(c_2689,plain,
op2(e22,h3(e11)) = h3(e10),
inference(light_normalisation,[status(thm)],[c_476,c_477]) ).
tcf(c_2690,plain,
op2(e21,h2(e11)) = h2(e10),
inference(light_normalisation,[status(thm)],[c_472,c_473]) ).
tcf(c_2696,plain,
op2(e23,e20) != e20,
inference(light_normalisation,[status(thm)],[c_413,c_2577]) ).
tcf(c_2697,plain,
op2(e22,e23) != h3(e11),
inference(light_normalisation,[status(thm)],[c_412,c_477]) ).
tcf(c_2698,plain,
op2(e22,e21) != h3(e11),
inference(light_normalisation,[status(thm)],[c_410,c_477]) ).
tcf(c_2700,plain,
op2(e21,e23) != h2(e11),
inference(light_normalisation,[status(thm)],[c_405,c_473]) ).
tcf(c_2705,plain,
op2(e20,e21) != h1(e11),
inference(light_normalisation,[status(thm)],[c_395,c_469]) ).
tcf(c_2706,plain,
op2(e22,e23) != e21,
inference(light_normalisation,[status(thm)],[c_394,c_659]) ).
tcf(c_2707,plain,
op2(e21,e23) != e21,
inference(light_normalisation,[status(thm)],[c_393,c_659]) ).
tcf(c_2717,plain,
op2(e23,e20) != h1(e11),
inference(light_normalisation,[status(thm)],[c_373,c_469]) ).
tcf(c_2724,plain,
op1(e13,e10) != e10,
inference(light_normalisation,[status(thm)],[c_244,c_2579]) ).
tcf(c_2725,plain,
op1(e12,e13) != e11,
inference(light_normalisation,[status(thm)],[c_225,c_699]) ).
tcf(c_2726,plain,
op1(e11,e13) != e11,
inference(light_normalisation,[status(thm)],[c_224,c_699]) ).
tcf(c_2755,plain,
op2(e20,e21) = e22,
inference(light_normalisation,[status(thm)],[c_300,c_659,c_2577]) ).
tcf(c_2758,plain,
h1(e11) != e22,
inference(demodulation,[status(thm)],[c_2705,c_2755]) ).
tcf(c_2762,plain,
op1(e10,e11) = e12,
inference(light_normalisation,[status(thm)],[c_137,c_699,c_2579]) ).
tcf(c_2765,plain,
op1(e10,e10) != e12,
inference(demodulation,[status(thm)],[c_226,c_2762]) ).
tcf(c_2773,plain,
op2(h2(e10),h2(e11)) = h2(e12),
inference(light_normalisation,[status(thm)],[c_474,c_473,c_2690]) ).
tcf(c_2794,plain,
( ( h2(e11) != e23 )
| ( op2(e22,e23) != e22 ) ),
inference(light_normalisation,[status(thm)],[c_346,c_473]) ).
tcf(c_2809,plain,
( ( h3(e11) != e20 )
| ( op2(e22,e20) != e22 ) ),
inference(light_normalisation,[status(thm)],[c_335,c_477]) ).
tcf(c_2836,plain,
( ( h2(e11) != e23 )
| ( op2(e20,e23) != e20 ) ),
inference(light_normalisation,[status(thm)],[c_314,c_473]) ).
tcf(c_2895,plain,
( ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_715,c_2724]) ).
tcf(c_2902,plain,
( ( op1(e11,e12) = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_711,c_2726]) ).
tcf(c_2909,plain,
( ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e12,e11) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_709,c_2579,c_2762]) ).
tcf(c_2910,plain,
op1(e12,e11) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_2909,c_116,c_113]) ).
tcf(c_2914,plain,
op1(e12,e12) != e11,
inference(demodulation,[status(thm)],[c_241,c_2910]) ).
tcf(c_2917,plain,
( ( e12 = e13 )
| ( e11 = e13 )
| ( op1(e11,e11) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_706,c_2762,c_2910]) ).
tcf(c_2918,plain,
op1(e11,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_2917,c_118,c_117]) ).
tcf(c_2919,plain,
( ( e13 != e13 )
| ( op1(e10,e13) != e10 ) ),
inference(demodulation,[status(thm)],[c_151,c_2918]) ).
tcf(c_2920,plain,
( ( e13 != e13 )
| ( op1(e12,e13) != e12 ) ),
inference(demodulation,[status(thm)],[c_183,c_2918]) ).
tcf(c_2925,plain,
op1(e11,e13) != e13,
inference(demodulation,[status(thm)],[c_236,c_2918]) ).
tcf(c_2927,plain,
op1(e12,e13) != e12,
inference(equality_resolution_simp,[status(thm)],[c_2920]) ).
tcf(c_2928,plain,
op1(e12,e10) = e12,
inference(backward_subsumption_resolution,[status(thm)],[c_703,c_2927]) ).
tcf(c_2930,plain,
( ( e10 = e12 )
| ( op1(e11,e10) = e10 ) ),
inference(demodulation,[status(thm)],[c_2895,c_2928]) ).
tcf(c_2931,plain,
( ( e12 != e12 )
| ( op1(e12,e12) != e10 ) ),
inference(demodulation,[status(thm)],[c_172,c_2928]) ).
tcf(c_2937,plain,
op1(e12,e12) != e10,
inference(equality_resolution_simp,[status(thm)],[c_2931]) ).
tcf(c_2938,plain,
op1(e11,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_2930,c_114]) ).
tcf(c_2941,plain,
( ( e10 = e11 )
| ( op1(e11,e12) = e11 ) ),
inference(demodulation,[status(thm)],[c_2902,c_2938]) ).
tcf(c_2945,plain,
op1(e11,e13) != e10,
inference(demodulation,[status(thm)],[c_234,c_2938]) ).
tcf(c_2946,plain,
op1(e11,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_2941,c_113]) ).
tcf(c_2953,plain,
op1(e10,e13) != e10,
inference(equality_resolution_simp,[status(thm)],[c_2919]) ).
tcf(c_2954,plain,
op1(e10,e12) = e10,
inference(backward_subsumption_resolution,[status(thm)],[c_717,c_2953]) ).
tcf(c_2961,plain,
( ( e11 = e12 )
| ( e10 = e12 )
| ( op1(e13,e12) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_702,c_2946,c_2954]) ).
tcf(c_2962,plain,
op1(e13,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_2961,c_116,c_114]) ).
tcf(c_2963,plain,
( ( e12 = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(demodulation,[status(thm)],[c_696,c_2962]) ).
tcf(c_2968,plain,
op1(e13,e10) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_2963,c_118]) ).
tcf(c_2970,plain,
op1(e10,e10) != e13,
inference(demodulation,[status(thm)],[c_204,c_2968]) ).
tcf(c_2973,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_694,c_2925]) ).
tcf(c_2980,plain,
op1(e10,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_691,c_2970,c_2765]) ).
tcf(c_2985,plain,
op1(e12,e12) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_684,c_2914,c_2937]) ).
tcf(c_2988,plain,
op1(e12,e13) != e13,
inference(demodulation,[status(thm)],[c_243,c_2985]) ).
tcf(c_2990,plain,
op1(e10,e13) = e13,
inference(backward_subsumption_resolution,[status(thm)],[c_2973,c_2988]) ).
tcf(c_2996,plain,
( ( op2(e22,e20) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_676,c_2696]) ).
tcf(c_3003,plain,
( ( op2(e21,e20) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_671,c_2707]) ).
tcf(c_3010,plain,
( ( e21 = e20 )
| ( e21 = e22 )
| ( op2(e22,e21) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_669,c_2577,c_2755]) ).
tcf(c_3011,plain,
op2(e22,e21) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3010,c_365,c_368]) ).
tcf(c_3015,plain,
h3(e11) != e21,
inference(demodulation,[status(thm)],[c_2698,c_3011]) ).
tcf(c_3018,plain,
( ( e22 = e23 )
| ( e21 = e23 )
| ( h2(e11) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_666,c_473,c_2755,c_3011]) ).
tcf(c_3019,plain,
h2(e11) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3018,c_370,c_369]) ).
tcf(c_3020,plain,
( ( e23 != e23 )
| ( op2(e20,e23) != e20 ) ),
inference(demodulation,[status(thm)],[c_2836,c_3019]) ).
tcf(c_3021,plain,
( ( e23 != e23 )
| ( op2(e22,e23) != e22 ) ),
inference(demodulation,[status(thm)],[c_2794,c_3019]) ).
tcf(c_3022,plain,
op2(h2(e10),e23) = h2(e12),
inference(demodulation,[status(thm)],[c_2773,c_3019]) ).
tcf(c_3027,plain,
op2(e21,e23) != e23,
inference(demodulation,[status(thm)],[c_2700,c_3019]) ).
tcf(c_3028,plain,
op2(e21,e23) = h2(e10),
inference(demodulation,[status(thm)],[c_2690,c_3019]) ).
tcf(c_3029,plain,
( ~ sP6
| ( e23 != e23 ) ),
inference(demodulation,[status(thm)],[c_70,c_3019]) ).
tcf(c_3031,plain,
op2(e21,e21) = e23,
inference(demodulation,[status(thm)],[c_473,c_3019]) ).
tcf(c_3032,plain,
~ sP6,
inference(equality_resolution_simp,[status(thm)],[c_3029]) ).
tcf(c_3035,plain,
h2(e10) != e21,
inference(demodulation,[status(thm)],[c_2707,c_3028]) ).
tcf(c_3036,plain,
op2(e21,e20) != h2(e10),
inference(demodulation,[status(thm)],[c_403,c_3028]) ).
tcf(c_3038,plain,
h2(e10) != e23,
inference(light_normalisation,[status(thm)],[c_3027,c_3028]) ).
tcf(c_3039,plain,
op2(e22,e23) != e22,
inference(equality_resolution_simp,[status(thm)],[c_3021]) ).
tcf(c_3040,plain,
op2(e22,e20) = e22,
inference(backward_subsumption_resolution,[status(thm)],[c_663,c_3039]) ).
tcf(c_3042,plain,
( ( e22 = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(demodulation,[status(thm)],[c_2996,c_3040]) ).
tcf(c_3043,plain,
( ( e22 != e22 )
| ( h3(e11) != e20 ) ),
inference(demodulation,[status(thm)],[c_2809,c_3040]) ).
tcf(c_3049,plain,
h3(e11) != e20,
inference(equality_resolution_simp,[status(thm)],[c_3043]) ).
tcf(c_3050,plain,
op2(e21,e20) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3042,c_366]) ).
tcf(c_3053,plain,
h2(e10) != e20,
inference(demodulation,[status(thm)],[c_3036,c_3050]) ).
tcf(c_3054,plain,
( ( e21 = e20 )
| ( op2(e21,e22) = e21 ) ),
inference(demodulation,[status(thm)],[c_3003,c_3050]) ).
tcf(c_3058,plain,
op2(e21,e22) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3054,c_365]) ).
tcf(c_3065,plain,
op2(e20,e23) != e20,
inference(equality_resolution_simp,[status(thm)],[c_3020]) ).
tcf(c_3066,plain,
op2(e20,e22) = e20,
inference(backward_subsumption_resolution,[status(thm)],[c_678,c_3065]) ).
tcf(c_3073,plain,
( ( e22 = e20 )
| ( e21 = e22 )
| ( op2(e23,e22) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_661,c_3058,c_3066]) ).
tcf(c_3074,plain,
op2(e23,e22) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3073,c_366,c_368]) ).
tcf(c_3075,plain,
( ( e22 = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(demodulation,[status(thm)],[c_655,c_3074]) ).
tcf(c_3080,plain,
op2(e23,e20) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3075,c_370]) ).
tcf(c_3082,plain,
h1(e11) != e23,
inference(demodulation,[status(thm)],[c_2717,c_3080]) ).
tcf(c_3085,plain,
( ( h2(e10) = e23 )
| ( op2(e20,e23) = e23 )
| ( op2(e22,e23) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_654,c_3028]) ).
tcf(c_3086,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e22,e23) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3085,c_3038]) ).
tcf(c_3093,plain,
( ( h1(e11) = e23 )
| ( h1(e11) = e22 )
| ( h1(e11) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_652,c_469]) ).
tcf(c_3094,plain,
h1(e11) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3093,c_3082,c_2758]) ).
tcf(c_3102,plain,
op2(e20,e20) = e21,
inference(demodulation,[status(thm)],[c_469,c_3094]) ).
tcf(c_3110,plain,
( ( h3(e11) = e20 )
| ( h3(e11) = e23 )
| ( h3(e11) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_643,c_477]) ).
tcf(c_3111,plain,
h3(e11) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3110,c_3049,c_3015]) ).
tcf(c_3115,plain,
op2(e22,e23) != e23,
inference(demodulation,[status(thm)],[c_2697,c_3111]) ).
tcf(c_3116,plain,
op2(e22,e23) = h3(e10),
inference(demodulation,[status(thm)],[c_2689,c_3111]) ).
tcf(c_3119,plain,
op2(e22,e22) = e23,
inference(demodulation,[status(thm)],[c_477,c_3111]) ).
tcf(c_3121,plain,
( ( h3(e10) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(demodulation,[status(thm)],[c_3086,c_3116]) ).
tcf(c_3122,plain,
h3(e10) != e22,
inference(demodulation,[status(thm)],[c_3039,c_3116]) ).
tcf(c_3125,plain,
h3(e10) != e21,
inference(demodulation,[status(thm)],[c_2706,c_3116]) ).
tcf(c_3130,plain,
h3(e10) != e23,
inference(light_normalisation,[status(thm)],[c_3115,c_3116]) ).
tcf(c_3131,plain,
op2(e20,e23) = e23,
inference(backward_subsumption_resolution,[status(thm)],[c_3121,c_3130]) ).
tcf(c_3137,plain,
( ( h3(e10) = e20 )
| ( h3(e10) = e23 )
| ( h3(e10) = e22 )
| ( h3(e10) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_462,c_3116]) ).
tcf(c_3138,plain,
h3(e10) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3137,c_3130,c_3122,c_3125]) ).
tcf(c_3144,plain,
op2(e22,e23) = e20,
inference(demodulation,[status(thm)],[c_3116,c_3138]) ).
tcf(c_3147,plain,
( ( h2(e10) = e20 )
| ( h2(e10) = e23 )
| ( h2(e10) = e22 )
| ( h2(e10) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_458,c_3028]) ).
tcf(c_3148,plain,
h2(e10) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3147,c_3053,c_3038,c_3035]) ).
tcf(c_3150,plain,
op2(e22,e23) = h2(e12),
inference(demodulation,[status(thm)],[c_3022,c_3148]) ).
tcf(c_3153,plain,
op2(e21,e23) = e22,
inference(demodulation,[status(thm)],[c_3028,c_3148]) ).
tcf(c_3154,plain,
( ~ sP7
| ( e22 != e22 ) ),
inference(demodulation,[status(thm)],[c_65,c_3148]) ).
tcf(c_3155,plain,
~ sP7,
inference(equality_resolution_simp,[status(thm)],[c_3154]) ).
tcf(c_3156,plain,
h2(e12) = e20,
inference(light_normalisation,[status(thm)],[c_3150,c_3144]) ).
tcf(c_3157,plain,
op1(e12,e13) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_293,c_2988,c_2927,c_2725]) ).
tcf(c_3162,plain,
op1(e11,e13) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_289,c_2925,c_2726,c_2945]) ).
tcf(c_3172,plain,
( sP6
| sP7
| ( e20 != e20 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( h2(e12) != e20 ) ),
inference(light_normalisation,[status(thm)],[c_738,c_699,c_659,c_471,c_2577,c_2579,c_2755,c_2762,c_2910,c_2918,c_2928,c_2938,c_2946,c_2954,c_2962,c_2968,c_2980,c_2985,c_2990,c_3011,c_3019,c_3031,c_3040,c_3050,c_3058,c_3066,c_3074,c_3080,c_3102,c_3119,c_3131,c_3144,c_3148,c_3153,c_3156,c_3157,c_3162]) ).
tcf(c_3173,plain,
( sP6
| sP7
| ( h2(e12) != e20 ) ),
inference(equality_resolution_simp,[status(thm)],[c_3172]) ).
tcf(c_3174,plain,
( sP6
| sP7
| ( e20 != e20 ) ),
inference(demodulation,[status(thm)],[c_3173,c_3156]) ).
tcf(c_3175,plain,
( sP6
| sP7 ),
inference(equality_resolution_simp,[status(thm)],[c_3174]) ).
tcf(c_3176,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3175,c_3032,c_3155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG111+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 04:48:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.44
% 0.14/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.44
% 0.14/0.44 % Detected problem language: tptp
% 0.14/0.46 % Proving...
% 3.85/1.37 % SZS status Started for theBenchmark.p
% 3.85/1.37 % SZS status Theorem for theBenchmark.p
% 3.85/1.37
% 3.85/1.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.85/1.37
% 3.85/1.37 % ------ iProver source info
% 3.85/1.37
% 3.85/1.37 % git: date: 2026-07-19 20:42:38 +0200
% 3.85/1.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.85/1.37 % git: non_committed_changes: false
% 3.85/1.37
% 3.85/1.37 % ------ Parsing...
% 3.85/1.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.85/1.37
% 3.85/1.37 % ------ Preprocessing...%
% 3.85/1.37
% 3.85/1.37 % SZS status Theorem for theBenchmark.p
% 3.85/1.37
% 3.85/1.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.38
% 3.85/1.38
%------------------------------------------------------------------------------