%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG112+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:28 PM UTC 2026
% Result : Theorem 3.35s 6.30s
% Output : CNFRefutation 4.59s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f41ERROR: Could not build tree for root c_4826ERROR: 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(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e10,e13),op1(e10,e13)) = e10 )
| ( op1(op1(e13,e12),op1(e13,e12)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e10 )
| ( op1(op1(e13,e11),op1(e13,e11)) = e13
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e10,e11),op1(e10,e11)) = e10 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e13
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e20,e23),op2(e20,e23)) = e20 )
| ( op2(op2(e23,e22),op2(e23,e22)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e20 )
| ( op2(op2(e23,e21),op2(e23,e21)) = e23
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e20,e21),op2(e20,e21)) = e20 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e23
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(e11,op1(op1(e11,e11),e11))
& e12 = op1(e11,e11)
& e10 = op1(op1(e11,e11),e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e21,op2(op2(e21,e21),e21))
& e22 = op2(e21,e21)
& e20 = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = op2(e20,op2(op2(e20,e20),e20))
& h1(e12) = op2(e20,e20)
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e13) = op2(e21,op2(op2(e21,e21),e21))
& h2(e12) = op2(e21,e21)
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e13) = op2(e22,op2(op2(e22,e22),e22))
& h3(e12) = op2(e22,e22)
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = op2(e23,op2(op2(e23,e23),e23))
& h4(e12) = op2(e23,e23)
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f42,plain,
( ~ sP2
| ( op1(op1(e13,e11),op1(e13,e11)) = e13
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e10,e11),op1(e10,e11)) = e10 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f43,plain,
( ~ sP1
| ( op1(op1(e13,e12),op1(e13,e12)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e10 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f45,plain,
( ~ sP5
| ( op2(op2(e23,e21),op2(e23,e21)) = e23
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e20,e21),op2(e20,e21)) = e20 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f46,plain,
( ~ sP4
| ( op2(op2(e23,e22),op2(e23,e22)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = 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(f62,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
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(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(f73,plain,
( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) ),
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(f78,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
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(f97,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f102,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| 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(f107,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f113,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
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(f124,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f126,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f127,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f137,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f145,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = 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(f155,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
op1(e12,e10) != op1(e12,e11),
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(f172,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
op1(e10,e12) != op1(e10,e13),
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(f178,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f185,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f193,plain,
op1(e11,e11) != op1(e13,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(f199,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f203,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f210,plain,
op2(e22,e22) != 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(f216,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f217,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f218,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f219,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f220,plain,
op2(e21,e20) != op2(e21,e22),
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(f228,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f229,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f230,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f232,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f233,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f234,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f236,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f239,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f241,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f244,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f245,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f248,plain,
op2(e21,e20) != op2(e22,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(f280,plain,
( ~ sP2
| e13 = op1(op1(e13,e11),op1(e13,e11)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f283,plain,
( ~ sP2
| e10 = op1(op1(e10,e11),op1(e10,e11)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f286,plain,
( ~ sP1
| e11 = op1(op1(e11,e12),op1(e11,e12)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f287,plain,
( ~ sP1
| e10 = op1(op1(e10,e12),op1(e10,e12)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f292,plain,
( sP0
| sP1
| sP2
| e13 = op1(op1(e13,e10),op1(e13,e10)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f294,plain,
( sP0
| sP1
| sP2
| e11 = op1(op1(e11,e10),op1(e11,e10)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f297,plain,
( ~ sP5
| e22 = op2(op2(e22,e21),op2(e22,e21)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f298,plain,
( ~ sP5
| e21 = op2(op2(e21,e21),op2(e21,e21)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f302,plain,
( ~ sP4
| e21 = op2(op2(e21,e22),op2(e21,e22)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f303,plain,
( ~ sP4
| e20 = op2(op2(e20,e22),op2(e20,e22)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f308,plain,
( sP3
| sP4
| sP5
| e23 = op2(op2(e23,e20),op2(e23,e20)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f310,plain,
( sP3
| sP4
| sP5
| e21 = op2(op2(e21,e20),op2(e21,e20)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f311,plain,
( sP3
| sP4
| sP5
| e20 = op2(op2(e20,e20),op2(e20,e20)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f312,plain,
e13 = op1(e11,op1(op1(e11,e11),e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f313,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f314,plain,
e10 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f315,plain,
e23 = op2(e21,op2(op2(e21,e21),e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f316,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f317,plain,
e20 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f318,plain,
h1(e13) = op2(e20,op2(op2(e20,e20),e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f319,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f320,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f322,plain,
op2(e21,op2(op2(e21,e21),e21)) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f323,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f324,plain,
op2(op2(e21,e21),e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f325,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f327,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f330,plain,
h4(e13) = op2(e23,op2(op2(e23,e23),e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f331,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f332,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f17]) ).
fof(f348,plain,
( ~ sP14
| e21 != h2(e11) ),
inference(cnf_transformation,[],[f51]) ).
fof(f351,plain,
( ~ sP13
| e22 != h2(e12) ),
inference(cnf_transformation,[],[f52]) ).
fof(f354,plain,
( ~ sP12
| e23 != h2(e13) ),
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_51,plain,
( ( op1(e10,e12) = e13 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e12) = e11 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f73]) ).
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_61,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e10) = e12 )
| ( op1(e13,e10) = e11 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_62,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e11) = e10 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_65,plain,
( ( op1(e10,e13) = e10 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f107]) ).
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_68,plain,
( ( op1(e13,e10) = e11 )
| ( op1(e12,e10) = e11 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_69,plain,
( ( op1(e10,e13) = e12 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_70,plain,
( ( op1(e13,e10) = e12 )
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_73,plain,
( ( op1(e11,e13) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_75,plain,
( ( op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e11,e10) = e11 ) ),
inference(cnf_transformation,[],[f97]) ).
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_82,plain,
( ( op1(e13,e12) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_84,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_86,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_87,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_92,plain,
( ( op1(e13,e13) = e11 )
| ( op1(e12,e13) = e11 )
| ( op1(e11,e13) = e11 )
| ( op1(e10,e13) = e11 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_94,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e12 )
| ( op1(e10,e13) = e12 ) ),
inference(cnf_transformation,[],[f78]) ).
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_100,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_102,plain,
( ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_103,plain,
( ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e20 ) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_104,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e20 ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_105,plain,
( ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e20 ) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_107,plain,
( ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e20 ) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_113,plain,
( ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f155]) ).
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_123,plain,
( ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_128,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_130,plain,
( ( op2(e23,e22) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e20,e22) = e20 ) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_131,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_135,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_141,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_142,plain,
( ( op2(e23,e23) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e20,e23) = e22 ) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_144,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_145,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f203]) ).
tcf(c_148,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f200]) ).
tcf(c_149,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f199]) ).
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_155,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f193]) ).
tcf(c_156,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f192]) ).
tcf(c_157,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f191]) ).
tcf(c_158,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f190]) ).
tcf(c_163,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f185]) ).
tcf(c_167,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f181]) ).
tcf(c_169,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f179]) ).
tcf(c_170,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f178]) ).
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_174,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f174]) ).
tcf(c_176,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f172]) ).
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_181,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f167]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f164]) ).
tcf(c_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f160]) ).
tcf(c_189,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f159]) ).
tcf(c_190,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f158]) ).
tcf(c_191,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f157]) ).
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_196,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f248]) ).
tcf(c_199,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f245]) ).
tcf(c_200,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f244]) ).
tcf(c_203,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f241]) ).
tcf(c_205,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f239]) ).
tcf(c_208,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f236]) ).
tcf(c_210,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f234]) ).
tcf(c_211,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f233]) ).
tcf(c_212,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f232]) ).
tcf(c_214,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f230]) ).
tcf(c_215,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f229]) ).
tcf(c_216,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f228]) ).
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_224,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f220]) ).
tcf(c_225,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f219]) ).
tcf(c_226,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f218]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f217]) ).
tcf(c_228,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f216]) ).
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_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f210]) ).
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(op1(e10,e11),op1(e10,e11)) = e10 )
| ~ sP2 ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_272,plain,
( ( op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ~ sP2 ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_273,plain,
( ( op1(op1(e10,e12),op1(e10,e12)) = e10 )
| ~ sP1 ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_274,plain,
( ( op1(op1(e11,e12),op1(e11,e12)) = e11 )
| ~ sP1 ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_282,plain,
( sP0
| sP1
| sP2
| ( op1(op1(e11,e10),op1(e11,e10)) = e11 ) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_284,plain,
( sP0
| sP1
| sP2
| ( op1(op1(e13,e10),op1(e13,e10)) = e13 ) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_286,plain,
( ( op2(op2(e21,e21),op2(e21,e21)) = e21 )
| ~ sP5 ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_287,plain,
( ( op2(op2(e22,e21),op2(e22,e21)) = e22 )
| ~ sP5 ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_289,plain,
( ( op2(op2(e20,e22),op2(e20,e22)) = e20 )
| ~ sP4 ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_290,plain,
( ( op2(op2(e21,e22),op2(e21,e22)) = e21 )
| ~ sP4 ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_297,plain,
( sP3
| sP4
| sP5
| ( op2(op2(e20,e20),op2(e20,e20)) = e20 ) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_298,plain,
( sP3
| sP4
| sP5
| ( op2(op2(e21,e20),op2(e21,e20)) = e21 ) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_300,plain,
( sP3
| sP4
| sP5
| ( op2(op2(e23,e20),op2(e23,e20)) = e23 ) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_301,plain,
op1(op1(e11,e11),e11) = e10,
inference(cnf_transformation,[],[f314]) ).
tcf(c_302,plain,
op1(e11,e11) = e12,
inference(cnf_transformation,[],[f313]) ).
tcf(c_303,plain,
op1(e11,op1(op1(e11,e11),e11)) = e13,
inference(cnf_transformation,[],[f312]) ).
tcf(c_304,plain,
op2(op2(e21,e21),e21) = e20,
inference(cnf_transformation,[],[f317]) ).
tcf(c_305,plain,
op2(e21,e21) = e22,
inference(cnf_transformation,[],[f316]) ).
tcf(c_306,plain,
op2(e21,op2(op2(e21,e21),e21)) = e23,
inference(cnf_transformation,[],[f315]) ).
tcf(c_308,plain,
op2(op2(e20,e20),e20) = h1(e10),
inference(cnf_transformation,[],[f320]) ).
tcf(c_309,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f319]) ).
tcf(c_310,plain,
op2(e20,op2(op2(e20,e20),e20)) = h1(e13),
inference(cnf_transformation,[],[f318]) ).
tcf(c_311,plain,
h2(e11) = e21,
inference(cnf_transformation,[],[f325]) ).
tcf(c_312,plain,
op2(op2(e21,e21),e21) = h2(e10),
inference(cnf_transformation,[],[f324]) ).
tcf(c_313,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f323]) ).
tcf(c_314,plain,
op2(e21,op2(op2(e21,e21),e21)) = h2(e13),
inference(cnf_transformation,[],[f322]) ).
tcf(c_317,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f327]) ).
tcf(c_320,plain,
op2(op2(e23,e23),e23) = h4(e10),
inference(cnf_transformation,[],[f332]) ).
tcf(c_321,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f331]) ).
tcf(c_322,plain,
op2(e23,op2(op2(e23,e23),e23)) = h4(e13),
inference(cnf_transformation,[],[f330]) ).
tcf(c_336,plain,
( ~ sP14
| ( h2(e11) != e21 ) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_341,plain,
( ~ sP13
| ( h2(e12) != e22 ) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_346,plain,
( ~ sP12
| ( h2(e13) != e23 ) ),
inference(cnf_transformation,[],[f354]) ).
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_415,plain,
op2(e21,e21) = e22,
inference(global_subsumption_just,[status(thm)],[c_102,c_305]) ).
tcf(c_421,plain,
op1(e11,e11) = e12,
inference(global_subsumption_just,[status(thm)],[c_54,c_302]) ).
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_336,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]) ).
tcf(c_2271,plain,
h2(e12) = e22,
inference(light_normalisation,[status(thm)],[c_313,c_415]) ).
tcf(c_2278,plain,
( ~ sP13
| ( e22 != e22 ) ),
inference(demodulation,[status(thm)],[c_341,c_2271]) ).
tcf(c_2279,plain,
~ sP13,
inference(equality_resolution_simp,[status(thm)],[c_2278]) ).
tcf(c_2283,plain,
op2(e22,e21) = e20,
inference(light_normalisation,[status(thm)],[c_304,c_415]) ).
tcf(c_2284,plain,
op1(e12,e11) = e10,
inference(light_normalisation,[status(thm)],[c_301,c_421]) ).
tcf(c_2285,plain,
op2(h4(e12),e23) = h4(e10),
inference(light_normalisation,[status(thm)],[c_320,c_321]) ).
tcf(c_2287,plain,
h2(e10) = e20,
inference(light_normalisation,[status(thm)],[c_312,c_415,c_2283]) ).
tcf(c_2288,plain,
op2(h1(e12),e20) = h1(e10),
inference(light_normalisation,[status(thm)],[c_308,c_309]) ).
tcf(c_2292,plain,
op2(e22,e23) != h3(e12),
inference(light_normalisation,[status(thm)],[c_234,c_317]) ).
tcf(c_2294,plain,
h3(e12) != e20,
inference(light_normalisation,[status(thm)],[c_232,c_317,c_2283]) ).
tcf(c_2295,plain,
op2(e22,e20) != h3(e12),
inference(light_normalisation,[status(thm)],[c_230,c_317]) ).
tcf(c_2296,plain,
op2(e22,e20) != e20,
inference(light_normalisation,[status(thm)],[c_229,c_2283]) ).
tcf(c_2297,plain,
op2(e21,e23) != e22,
inference(light_normalisation,[status(thm)],[c_227,c_415]) ).
tcf(c_2298,plain,
op2(e21,e22) != e22,
inference(light_normalisation,[status(thm)],[c_226,c_415]) ).
tcf(c_2300,plain,
op2(e20,e23) != h1(e12),
inference(light_normalisation,[status(thm)],[c_219,c_309]) ).
tcf(c_2302,plain,
op2(e20,e21) != h1(e12),
inference(light_normalisation,[status(thm)],[c_217,c_309]) ).
tcf(c_2303,plain,
op2(e22,e23) != h4(e12),
inference(light_normalisation,[status(thm)],[c_216,c_321]) ).
tcf(c_2304,plain,
op2(e21,e23) != h4(e12),
inference(light_normalisation,[status(thm)],[c_215,c_321]) ).
tcf(c_2306,plain,
op2(e23,e22) != h3(e12),
inference(light_normalisation,[status(thm)],[c_210,c_317]) ).
tcf(c_2307,plain,
op2(e21,e22) != h3(e12),
inference(light_normalisation,[status(thm)],[c_208,c_317]) ).
tcf(c_2310,plain,
op2(e23,e21) != e22,
inference(light_normalisation,[status(thm)],[c_203,c_415]) ).
tcf(c_2312,plain,
op2(e20,e21) != e20,
inference(light_normalisation,[status(thm)],[c_200,c_2283]) ).
tcf(c_2313,plain,
op2(e20,e21) != e22,
inference(light_normalisation,[status(thm)],[c_199,c_415]) ).
tcf(c_2315,plain,
op2(e22,e20) != h1(e12),
inference(light_normalisation,[status(thm)],[c_194,c_309]) ).
tcf(c_2316,plain,
op2(e21,e20) != h1(e12),
inference(light_normalisation,[status(thm)],[c_193,c_309]) ).
tcf(c_2318,plain,
op1(e12,e12) != e10,
inference(light_normalisation,[status(thm)],[c_184,c_2284]) ).
tcf(c_2319,plain,
op1(e12,e10) != e10,
inference(light_normalisation,[status(thm)],[c_181,c_2284]) ).
tcf(c_2320,plain,
op1(e11,e13) != e12,
inference(light_normalisation,[status(thm)],[c_179,c_421]) ).
tcf(c_2321,plain,
op1(e11,e12) != e12,
inference(light_normalisation,[status(thm)],[c_178,c_421]) ).
tcf(c_2323,plain,
op1(e13,e11) != e10,
inference(light_normalisation,[status(thm)],[c_156,c_2284]) ).
tcf(c_2324,plain,
op1(e13,e11) != e12,
inference(light_normalisation,[status(thm)],[c_155,c_421]) ).
tcf(c_2326,plain,
op1(e10,e11) != e10,
inference(light_normalisation,[status(thm)],[c_152,c_2284]) ).
tcf(c_2327,plain,
op1(e10,e11) != e12,
inference(light_normalisation,[status(thm)],[c_151,c_421]) ).
tcf(c_2328,plain,
op2(e21,e20) = e23,
inference(light_normalisation,[status(thm)],[c_306,c_415,c_2283]) ).
tcf(c_2329,plain,
op1(e11,e10) = e13,
inference(light_normalisation,[status(thm)],[c_303,c_421,c_2284]) ).
tcf(c_2330,plain,
op2(e23,h4(e10)) = h4(e13),
inference(light_normalisation,[status(thm)],[c_322,c_321,c_2285]) ).
tcf(c_2332,plain,
h2(e13) = e23,
inference(light_normalisation,[status(thm)],[c_314,c_415,c_2283,c_2328]) ).
tcf(c_2333,plain,
op2(e20,h1(e10)) = h1(e13),
inference(light_normalisation,[status(thm)],[c_310,c_309,c_2288]) ).
tcf(c_2336,plain,
( ( h1(e12) = e22 )
| ~ sP5 ),
inference(light_normalisation,[status(thm)],[c_287,c_309,c_2283]) ).
tcf(c_2337,plain,
( ( h3(e12) = e21 )
| ~ sP5 ),
inference(light_normalisation,[status(thm)],[c_286,c_415,c_317]) ).
tcf(c_2340,plain,
( sP3
| sP4
| sP5
| ( h4(e12) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_298,c_321,c_2328]) ).
tcf(c_2341,plain,
( sP3
| sP4
| sP5
| ( op2(h1(e12),h1(e12)) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_297,c_309]) ).
tcf(c_2342,plain,
( sP0
| sP1
| sP2
| ( op1(e13,e13) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_282,c_2329]) ).
tcf(c_2343,plain,
( ( h4(e12) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_144,c_321]) ).
tcf(c_2345,plain,
( ( h4(e12) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e20,e23) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_142,c_321]) ).
tcf(c_2346,plain,
( ( h4(e12) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e20) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_141,c_321]) ).
tcf(c_2352,plain,
( ( e20 = e23 )
| ( h3(e12) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_135,c_317,c_2283]) ).
tcf(c_2356,plain,
( ( e20 = e21 )
| ( h3(e12) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_131,c_317,c_2283]) ).
tcf(c_2357,plain,
( ( h3(e12) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e20,e22) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_130,c_317]) ).
tcf(c_2358,plain,
( ( e22 = e23 )
| ( e20 = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_128,c_415,c_2283]) ).
tcf(c_2360,plain,
( ( e21 = e23 )
| ( e21 = e22 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_123,c_415,c_2328]) ).
tcf(c_2363,plain,
( ( e22 = e23 )
| ( h1(e12) = e22 )
| ( op2(e23,e20) = e22 )
| ( op2(e22,e20) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_118,c_309,c_2328]) ).
tcf(c_2364,plain,
( ( h1(e12) = e22 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_117,c_309]) ).
tcf(c_2368,plain,
( ( h1(e12) = e20 )
| ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_113,c_309]) ).
tcf(c_2370,plain,
( ( h3(e12) = e23 )
| ( h3(e12) = e22 )
| ( h3(e12) = e21 )
| ( h3(e12) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_107,c_317]) ).
tcf(c_2371,plain,
( ( h1(e12) = e23 )
| ( h1(e12) = e22 )
| ( h1(e12) = e21 )
| ( h1(e12) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_97,c_309]) ).
tcf(c_2372,plain,
( ( e10 = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_87,c_2284]) ).
tcf(c_2376,plain,
( ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e13,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_76,c_421,c_2284]) ).
tcf(c_2377,plain,
( ( e11 = e13 )
| ( e11 = e12 )
| ( op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_75,c_421,c_2329]) ).
tcf(c_2378,plain,
( ( e10 = e13 )
| ( e10 = e12 )
| ( op1(e11,e13) = e10 )
| ( op1(e11,e12) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_73,c_421,c_2329]) ).
tcf(c_2379,plain,
( ( e12 = e13 )
| ( op1(e13,e10) = e12 )
| ( op1(e12,e10) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_70,c_2329]) ).
tcf(c_2380,plain,
( ( e11 = e13 )
| ( op1(e13,e10) = e11 )
| ( op1(e12,e10) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_68,c_2329]) ).
tcf(c_2381,plain,
( ( e10 = e13 )
| ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_66,c_2329]) ).
tcf(c_2384,plain,
( sP12
| sP13
| ( e23 != e23 )
| ( e22 != e22 )
| ( e20 != e20 )
| ( h2(e10) != e20 )
| ( h2(op1(e13,e13)) != h4(e12) )
| ( h2(op1(e13,e12)) != op2(e23,e22) )
| ( h2(op1(e13,e11)) != op2(e23,e21) )
| ( h2(op1(e13,e10)) != op2(e23,e20) )
| ( h2(op1(e12,e13)) != op2(e22,e23) )
| ( h2(op1(e12,e12)) != h3(e12) )
| ( h2(op1(e12,e10)) != op2(e22,e20) )
| ( h2(op1(e11,e13)) != op2(e21,e23) )
| ( h2(op1(e11,e12)) != op2(e21,e22) )
| ( h2(op1(e10,e13)) != op2(e20,e23) )
| ( h2(op1(e10,e12)) != op2(e20,e22) )
| ( h2(op1(e10,e11)) != op2(e20,e21) )
| ( h2(op1(e10,e10)) != h1(e12) ) ),
inference(light_normalisation,[status(thm)],[c_446,c_421,c_415,c_309,c_311,c_317,c_321,c_2271,c_2283,c_2284,c_2287,c_2328,c_2329,c_2332]) ).
tcf(c_2385,plain,
( sP12
| sP13
| ( h2(e10) != e20 )
| ( h2(op1(e13,e13)) != h4(e12) )
| ( h2(op1(e13,e12)) != op2(e23,e22) )
| ( h2(op1(e13,e11)) != op2(e23,e21) )
| ( h2(op1(e13,e10)) != op2(e23,e20) )
| ( h2(op1(e12,e13)) != op2(e22,e23) )
| ( h2(op1(e12,e12)) != h3(e12) )
| ( h2(op1(e12,e10)) != op2(e22,e20) )
| ( h2(op1(e11,e13)) != op2(e21,e23) )
| ( h2(op1(e11,e12)) != op2(e21,e22) )
| ( h2(op1(e10,e13)) != op2(e20,e23) )
| ( h2(op1(e10,e12)) != op2(e20,e22) )
| ( h2(op1(e10,e11)) != op2(e20,e21) )
| ( h2(op1(e10,e10)) != h1(e12) ) ),
inference(equality_resolution_simp,[status(thm)],[c_2384]) ).
tcf(c_2386,plain,
( sP12
| sP13
| ( e20 != e20 )
| ( h2(op1(e13,e13)) != h4(e12) )
| ( h2(op1(e13,e12)) != op2(e23,e22) )
| ( h2(op1(e13,e11)) != op2(e23,e21) )
| ( h2(op1(e13,e10)) != op2(e23,e20) )
| ( h2(op1(e12,e13)) != op2(e22,e23) )
| ( h2(op1(e12,e12)) != h3(e12) )
| ( h2(op1(e12,e10)) != op2(e22,e20) )
| ( h2(op1(e11,e13)) != op2(e21,e23) )
| ( h2(op1(e11,e12)) != op2(e21,e22) )
| ( h2(op1(e10,e13)) != op2(e20,e23) )
| ( h2(op1(e10,e12)) != op2(e20,e22) )
| ( h2(op1(e10,e11)) != op2(e20,e21) )
| ( h2(op1(e10,e10)) != h1(e12) ) ),
inference(demodulation,[status(thm)],[c_2385,c_2287]) ).
tcf(c_2387,plain,
( sP12
| sP13
| ( h2(op1(e13,e13)) != h4(e12) )
| ( h2(op1(e13,e12)) != op2(e23,e22) )
| ( h2(op1(e13,e11)) != op2(e23,e21) )
| ( h2(op1(e13,e10)) != op2(e23,e20) )
| ( h2(op1(e12,e13)) != op2(e22,e23) )
| ( h2(op1(e12,e12)) != h3(e12) )
| ( h2(op1(e12,e10)) != op2(e22,e20) )
| ( h2(op1(e11,e13)) != op2(e21,e23) )
| ( h2(op1(e11,e12)) != op2(e21,e22) )
| ( h2(op1(e10,e13)) != op2(e20,e23) )
| ( h2(op1(e10,e12)) != op2(e20,e22) )
| ( h2(op1(e10,e11)) != op2(e20,e21) )
| ( h2(op1(e10,e10)) != h1(e12) ) ),
inference(equality_resolution_simp,[status(thm)],[c_2386]) ).
tcf(c_2416,plain,
( sP12
| ( h2(op1(e13,e13)) != h4(e12) )
| ( h2(op1(e13,e12)) != op2(e23,e22) )
| ( h2(op1(e13,e11)) != op2(e23,e21) )
| ( h2(op1(e13,e10)) != op2(e23,e20) )
| ( h2(op1(e12,e13)) != op2(e22,e23) )
| ( h2(op1(e12,e12)) != h3(e12) )
| ( h2(op1(e12,e10)) != op2(e22,e20) )
| ( h2(op1(e11,e13)) != op2(e21,e23) )
| ( h2(op1(e11,e12)) != op2(e21,e22) )
| ( h2(op1(e10,e13)) != op2(e20,e23) )
| ( h2(op1(e10,e12)) != op2(e20,e22) )
| ( h2(op1(e10,e11)) != op2(e20,e21) )
| ( h2(op1(e10,e10)) != h1(e12) ) ),
inference(resolution,[status(thm)],[c_2387,c_2279]) ).
tcf(c_2417,plain,
( ( h2(op1(e10,e10)) != h1(e12) )
| ( h2(op1(e10,e11)) != op2(e20,e21) )
| ( h2(op1(e10,e12)) != op2(e20,e22) )
| ( h2(op1(e10,e13)) != op2(e20,e23) )
| ( h2(op1(e11,e12)) != op2(e21,e22) )
| ( h2(op1(e11,e13)) != op2(e21,e23) )
| ( h2(op1(e12,e10)) != op2(e22,e20) )
| ( h2(op1(e12,e12)) != h3(e12) )
| ( h2(op1(e12,e13)) != op2(e22,e23) )
| ( h2(op1(e13,e10)) != op2(e23,e20) )
| ( h2(op1(e13,e11)) != op2(e23,e21) )
| ( h2(op1(e13,e12)) != op2(e23,e22) )
| ( h2(op1(e13,e13)) != h4(e12) ) ),
inference(global_subsumption_just,[status(thm)],[c_2416,c_346,c_341,c_2271,c_2332,c_2387]) ).
tcf(c_2418,plain,
( ( h2(op1(e13,e13)) != h4(e12) )
| ( h2(op1(e13,e12)) != op2(e23,e22) )
| ( h2(op1(e13,e11)) != op2(e23,e21) )
| ( h2(op1(e13,e10)) != op2(e23,e20) )
| ( h2(op1(e12,e13)) != op2(e22,e23) )
| ( h2(op1(e12,e12)) != h3(e12) )
| ( h2(op1(e12,e10)) != op2(e22,e20) )
| ( h2(op1(e11,e13)) != op2(e21,e23) )
| ( h2(op1(e11,e12)) != op2(e21,e22) )
| ( h2(op1(e10,e13)) != op2(e20,e23) )
| ( h2(op1(e10,e12)) != op2(e20,e22) )
| ( h2(op1(e10,e11)) != op2(e20,e21) )
| ( h2(op1(e10,e10)) != h1(e12) ) ),
inference(renaming,[status(thm)],[c_2417]) ).
fof(f21,definition,
( ~ sP0
| ( op1(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e10,e13),op1(e10,e13)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP1
| ( op1(op1(e13,e12),op1(e13,e12)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP2
| ( op1(op1(e13,e11),op1(e13,e11)) = e13
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e10,e11),op1(e10,e11)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,plain,
( sP0
| sP1
| sP2
| ( op1(op1(e13,e10),op1(e13,e10)) = e13
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ),
inference(definition_folding,[],[f10,f23,f22,f21]) ).
fof(f25,definition,
( ~ sP3
| ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e20,e23),op2(e20,e23)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP4
| ( op2(op2(e23,e22),op2(e23,e22)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP5
| ( op2(op2(e23,e21),op2(e23,e21)) = e23
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e20,e21),op2(e20,e21)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f28,plain,
( sP3
| sP4
| sP5
| ( op2(op2(e23,e20),op2(e23,e20)) = e23
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ),
inference(definition_folding,[],[f11,f27,f26,f25]) ).
fof(f44,plain,
( ~ sP0
| ( op1(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e10,e13),op1(e10,e13)) = e10 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f47,plain,
( ~ sP3
| ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e20,e23),op2(e20,e23)) = e20 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f290,plain,
( ~ sP0
| e11 = op1(op1(e11,e13),op1(e11,e13)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f291,plain,
( ~ sP0
| e10 = op1(op1(e10,e13),op1(e10,e13)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f304,plain,
( ~ sP3
| e23 = op2(op2(e23,e23),op2(e23,e23)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f305,plain,
( ~ sP3
| e22 = op2(op2(e22,e23),op2(e22,e23)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f306,plain,
( ~ sP3
| e21 = op2(op2(e21,e23),op2(e21,e23)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f307,plain,
( ~ sP3
| e20 = op2(op2(e20,e23),op2(e20,e23)) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_277,plain,
( ( op1(op1(e10,e13),op1(e10,e13)) = e10 )
| ~ sP0 ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_278,plain,
( ( op1(op1(e11,e13),op1(e11,e13)) = e11 )
| ~ sP0 ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_293,plain,
( ( op2(op2(e20,e23),op2(e20,e23)) = e20 )
| ~ sP3 ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_294,plain,
( ( op2(op2(e21,e23),op2(e21,e23)) = e21 )
| ~ sP3 ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_295,plain,
( ( op2(op2(e22,e23),op2(e22,e23)) = e22 )
| ~ sP3 ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_296,plain,
( ( op2(op2(e23,e23),op2(e23,e23)) = e23 )
| ~ sP3 ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_2334,plain,
( ( op2(h4(e12),h4(e12)) = e23 )
| ~ sP3 ),
inference(light_normalisation,[status(thm)],[c_296,c_321]) ).
tcf(c_4826,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_2418,c_2381,c_2380,c_2379,c_2378,c_2377,c_2376,c_2372,c_2371,c_2370,c_2368,c_2364,c_2363,c_2360,c_2358,c_2357,c_2356,c_2352,c_2346,c_2345,c_2343,c_2342,c_2341,c_2340,c_2337,c_2336,c_2334,c_2333,c_2332,c_2330,c_2329,c_2328,c_2327,c_2326,c_2324,c_2323,c_2321,c_2320,c_2319,c_2318,c_2316,c_2315,c_2313,c_2312,c_2310,c_2307,c_2306,c_2304,c_2303,c_2302,c_2300,c_2298,c_2297,c_2296,c_2295,c_2294,c_2292,c_2288,c_2287,c_2285,c_2271,c_321,c_317,c_311,c_309,c_305,c_302,c_300,c_295,c_294,c_293,c_290,c_289,c_284,c_278,c_277,c_274,c_273,c_272,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_231,c_228,c_225,c_224,c_221,c_214,c_212,c_211,c_205,c_196,c_191,c_190,c_189,c_188,c_176,c_174,c_173,c_172,c_170,c_169,c_167,c_163,c_158,c_157,c_149,c_148,c_145,c_105,c_104,c_103,c_100,c_98,c_94,c_92,c_86,c_84,c_82,c_69,c_65,c_62,c_61,c_55,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG112+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n002.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Fri Sep 25 04:50:57 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 3.35/6.30 % SZS status Started for theBenchmark.p
% 3.35/6.30 % SZS status Theorem for theBenchmark.p
% 3.35/6.30
% 3.35/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.35/6.30
% 3.35/6.30 % ------ iProver source info
% 3.35/6.30
% 3.35/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.35/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.35/6.30 % git: non_committed_changes: false
% 3.35/6.30
% 3.35/6.30 % ------ Parsing...
% 3.35/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.35/6.30
% 3.35/6.30 % ------ Preprocessing... sup_sim: 137 sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 3.35/6.30
% 3.35/6.30 % ------ Preprocessing...%
% 3.35/6.30
% 3.35/6.30 % SZS status Theorem for theBenchmark.p
% 3.35/6.30
% 3.35/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.59/6.31
% 4.59/6.31
%------------------------------------------------------------------------------