%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG118+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:29 PM UTC 2026
% Result : Theorem 4.24s 1.19s
% Output : CNFRefutation 4.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f167ERROR: Could not build tree for root c_8053ERROR: 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(f12,axiom,
( e13 = op1(op1(e11,e11),e11)
& e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11))
& e10 = op1(e11,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(op2(e21,e21),e21)
& e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21))
& e20 = op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = op2(op2(e20,e20),e20)
& h1(e12) = op2(op2(op2(e20,e20),e20),op2(e20,e20))
& h1(e10) = op2(e20,e20)
& h1(e11) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e13) = op2(op2(e21,e21),e21)
& h2(e12) = op2(op2(op2(e21,e21),e21),op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e13) = op2(op2(e22,e22),e22)
& h3(e12) = op2(op2(op2(e22,e22),e22),op2(e22,e22))
& h3(e10) = op2(e22,e22)
& h3(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = op2(op2(e23,e23),e23)
& h4(e12) = op2(op2(op2(e23,e23),e23),op2(e23,e23))
& h4(e10) = op2(e23,e23)
& h4(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f168,plain,
( ~ sP65
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10 ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f169,plain,
( ~ sP64
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10 ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f170,plain,
( ~ sP63
| ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10 ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f234,plain,
( ~ sP131
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20 ) ),
inference(nnf_transformation,[],[f153]) ).
fof(f235,plain,
( ~ sP130
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20 ) ),
inference(nnf_transformation,[],[f152]) ).
fof(f236,plain,
( ~ sP129
| ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20 ) ),
inference(nnf_transformation,[],[f151]) ).
fof(f303,plain,
( ~ sP140
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f304,plain,
( ~ sP139
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) ) ),
inference(nnf_transformation,[],[f162]) ).
fof(f305,plain,
( ~ sP138
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) ) ),
inference(nnf_transformation,[],[f161]) ).
fof(f312,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f313,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f314,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f316,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f321,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f323,plain,
( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f324,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f328,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f329,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f336,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f338,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f356,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f361,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f362,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f369,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f371,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f375,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f376,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f377,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f380,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f382,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f384,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f386,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f395,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f404,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f408,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f409,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f410,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f411,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f412,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f413,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f415,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f416,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f420,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f422,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f423,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f424,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f425,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f427,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f428,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f429,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f432,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f435,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f436,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f437,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f439,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f441,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f445,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f447,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f449,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f450,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f451,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f456,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f457,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f458,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f460,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f461,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f463,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f464,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f465,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f468,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f469,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f470,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f471,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f472,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f473,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f475,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f476,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f477,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f478,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f479,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f493,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f495,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f497,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f498,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f499,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f501,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f503,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f504,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f505,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f506,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f508,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f509,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f510,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f512,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f513,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f514,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f515,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f533,plain,
( ~ sP65
| e12 != op1(e11,op1(e11,e12)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f536,plain,
( ~ sP64
| e13 != op1(e12,op1(e12,e13)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f542,plain,
( ~ sP63
| e11 != op1(e13,op1(e13,e11)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f803,plain,
( sP63
| sP64
| sP65
| e10 != op1(e10,op1(e10,e10)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f804,plain,
( e13 = op1(e13,e13)
| e12 = op1(e12,e13)
| e11 = op1(e11,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f87]) ).
fof(f805,plain,
( e13 = op1(e13,e12)
| e12 = op1(e12,e12)
| e11 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f87]) ).
fof(f806,plain,
( e13 = op1(e13,e11)
| e12 = op1(e12,e11)
| e11 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f87]) ).
fof(f807,plain,
( e13 = op1(e13,e10)
| e12 = op1(e12,e10)
| e11 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f87]) ).
fof(f809,plain,
( ~ sP131
| e22 != op2(e21,op2(e21,e22)) ),
inference(cnf_transformation,[],[f234]) ).
fof(f812,plain,
( ~ sP130
| e23 != op2(e22,op2(e22,e23)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f818,plain,
( ~ sP129
| e21 != op2(e23,op2(e23,e21)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1079,plain,
( sP129
| sP130
| sP131
| e20 != op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1080,plain,
( e23 = op2(e23,e23)
| e22 = op2(e22,e23)
| e21 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1081,plain,
( e23 = op2(e23,e22)
| e22 = op2(e22,e22)
| e21 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1082,plain,
( e23 = op2(e23,e21)
| e22 = op2(e22,e21)
| e21 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1083,plain,
( e23 = op2(e23,e20)
| e22 = op2(e22,e20)
| e21 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1084,plain,
e13 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f1085,plain,
e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f1086,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f1087,plain,
e23 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f1088,plain,
e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f1089,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f1092,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f1094,plain,
op2(op2(e21,e21),e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f1095,plain,
op2(op2(op2(e21,e21),e21),op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f1096,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f1097,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f1100,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f1104,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f1120,plain,
( ~ sP140
| e21 != h2(e11) ),
inference(cnf_transformation,[],[f303]) ).
fof(f1123,plain,
( ~ sP139
| e22 != h2(e12) ),
inference(cnf_transformation,[],[f304]) ).
fof(f1126,plain,
( ~ sP138
| e23 != h2(e13) ),
inference(cnf_transformation,[],[f305]) ).
fof(f1165,plain,
( sP138
| sP139
| sP140
| 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,[],[f167]) ).
tcf(c_52,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e13) = e12 )
| ( op1(e10,e13) = e11 )
| ( op1(e10,e13) = e10 ) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_53,plain,
( ( op1(e11,e10) = e13 )
| ( op1(e11,e10) = e12 )
| ( op1(e11,e10) = e11 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_55,plain,
( ( op1(e11,e12) = e13 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e12) = e10 ) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_60,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_62,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e11) = e10 ) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_63,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e12) = e10 ) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_64,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12 )
| ( op1(e13,e13) = e11 )
| ( op1(e13,e13) = e10 ) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_68,plain,
( ( op1(e13,e10) = e11 )
| ( op1(e12,e10) = e11 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_77,plain,
( ( op1(e11,e13) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e11,e10) = e12 ) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_86,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_88,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_95,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_96,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_97,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_101,plain,
( ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_103,plain,
( ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e20 ) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_110,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e20 ) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_111,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e20 ) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_116,plain,
( ( op2(e23,e20) = e21 )
| ( op2(e22,e20) = e21 )
| ( op2(e21,e20) = e21 )
| ( op2(e20,e20) = e21 ) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_125,plain,
( ( op2(e21,e23) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e20) = e22 ) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_134,plain,
( ( op2(e23,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(cnf_transformation,[],[f386]) ).
tcf(c_136,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(cnf_transformation,[],[f384]) ).
tcf(c_138,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_140,plain,
( ( op2(e23,e23) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e20,e23) = e21 ) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_143,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e23,e20) = e23 ) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_144,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_149,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f451]) ).
tcf(c_150,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f450]) ).
tcf(c_151,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f449]) ).
tcf(c_153,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f447]) ).
tcf(c_155,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f445]) ).
tcf(c_159,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f441]) ).
tcf(c_161,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f439]) ).
tcf(c_163,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f437]) ).
tcf(c_164,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f436]) ).
tcf(c_165,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f435]) ).
tcf(c_168,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f432]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f429]) ).
tcf(c_172,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f428]) ).
tcf(c_173,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f427]) ).
tcf(c_175,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f425]) ).
tcf(c_176,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f424]) ).
tcf(c_177,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f423]) ).
tcf(c_178,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f422]) ).
tcf(c_180,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f420]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f416]) ).
tcf(c_185,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f415]) ).
tcf(c_187,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f413]) ).
tcf(c_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f412]) ).
tcf(c_189,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f411]) ).
tcf(c_190,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f410]) ).
tcf(c_191,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f409]) ).
tcf(c_192,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f408]) ).
tcf(c_193,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f503]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f501]) ).
tcf(c_197,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f499]) ).
tcf(c_198,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f498]) ).
tcf(c_199,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f497]) ).
tcf(c_201,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f495]) ).
tcf(c_203,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f493]) ).
tcf(c_217,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f479]) ).
tcf(c_218,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f478]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f477]) ).
tcf(c_220,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f476]) ).
tcf(c_221,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f475]) ).
tcf(c_223,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f473]) ).
tcf(c_224,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f472]) ).
tcf(c_225,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f471]) ).
tcf(c_226,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f470]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f469]) ).
tcf(c_228,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f468]) ).
tcf(c_231,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f465]) ).
tcf(c_232,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f464]) ).
tcf(c_233,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f463]) ).
tcf(c_235,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f461]) ).
tcf(c_236,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f460]) ).
tcf(c_238,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f458]) ).
tcf(c_239,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f457]) ).
tcf(c_240,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f456]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f509]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f508]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f506]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f505]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f504]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f515]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f514]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f513]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f512]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f510]) ).
tcf(c_271,plain,
( ~ sP65
| ( op1(e11,op1(e11,e12)) != e12 ) ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_276,plain,
( ~ sP64
| ( op1(e12,op1(e12,e13)) != e13 ) ),
inference(cnf_transformation,[],[f536]) ).
tcf(c_278,plain,
( ~ sP63
| ( op1(e13,op1(e13,e11)) != e11 ) ),
inference(cnf_transformation,[],[f542]) ).
tcf(c_533,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f807]) ).
tcf(c_534,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e12,e11) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f806]) ).
tcf(c_535,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f805]) ).
tcf(c_536,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e11,e13) = e11 )
| ( op1(e10,e13) = e10 ) ),
inference(cnf_transformation,[],[f804]) ).
tcf(c_537,plain,
( sP63
| sP64
| sP65
| ( op1(e10,op1(e10,e10)) != e10 ) ),
inference(cnf_transformation,[],[f803]) ).
tcf(c_547,plain,
( ~ sP131
| ( op2(e21,op2(e21,e22)) != e22 ) ),
inference(cnf_transformation,[],[f809]) ).
tcf(c_552,plain,
( ~ sP130
| ( op2(e22,op2(e22,e23)) != e23 ) ),
inference(cnf_transformation,[],[f812]) ).
tcf(c_554,plain,
( ~ sP129
| ( op2(e23,op2(e23,e21)) != e21 ) ),
inference(cnf_transformation,[],[f818]) ).
tcf(c_809,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e22,e20) = e22 )
| ( op2(e21,e20) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f1083]) ).
tcf(c_810,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f1082]) ).
tcf(c_811,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e20 ) ),
inference(cnf_transformation,[],[f1081]) ).
tcf(c_812,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e22 )
| ( op2(e21,e23) = e21 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f1080]) ).
tcf(c_813,plain,
( sP129
| sP130
| sP131
| ( op2(e20,op2(e20,e20)) != e20 ) ),
inference(cnf_transformation,[],[f1079]) ).
tcf(c_821,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[],[f1086]) ).
tcf(c_822,plain,
op1(op1(op1(e11,e11),e11),op1(e11,e11)) = e12,
inference(cnf_transformation,[],[f1085]) ).
tcf(c_823,plain,
op1(op1(e11,e11),e11) = e13,
inference(cnf_transformation,[],[f1084]) ).
tcf(c_824,plain,
op2(e21,e21) = e20,
inference(cnf_transformation,[],[f1089]) ).
tcf(c_825,plain,
op2(op2(op2(e21,e21),e21),op2(e21,e21)) = e22,
inference(cnf_transformation,[],[f1088]) ).
tcf(c_826,plain,
op2(op2(e21,e21),e21) = e23,
inference(cnf_transformation,[],[f1087]) ).
tcf(c_828,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f1092]) ).
tcf(c_831,plain,
h2(e11) = e21,
inference(cnf_transformation,[],[f1097]) ).
tcf(c_832,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f1096]) ).
tcf(c_833,plain,
op2(op2(op2(e21,e21),e21),op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f1095]) ).
tcf(c_834,plain,
op2(op2(e21,e21),e21) = h2(e13),
inference(cnf_transformation,[],[f1094]) ).
tcf(c_836,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f1100]) ).
tcf(c_840,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f1104]) ).
tcf(c_856,plain,
( ~ sP140
| ( h2(e11) != e21 ) ),
inference(cnf_transformation,[],[f1120]) ).
tcf(c_861,plain,
( ~ sP139
| ( h2(e12) != e22 ) ),
inference(cnf_transformation,[],[f1123]) ).
tcf(c_866,plain,
( ~ sP138
| ( h2(e13) != e23 ) ),
inference(cnf_transformation,[],[f1126]) ).
tcf(c_895,negated_conjecture,
( sP138
| sP139
| sP140
| ( 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,[],[f1165]) ).
tcf(c_981,plain,
( sP138
| sP139
| ( 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_895,c_831,c_856,c_895]) ).
tcf(c_982,negated_conjecture,
( sP138
| sP139
| ( 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_981]) ).
tcf(c_8053,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_982,c_866,c_861,c_840,c_836,c_834,c_833,c_832,c_831,c_828,c_826,c_825,c_824,c_823,c_822,c_821,c_813,c_812,c_811,c_810,c_809,c_554,c_552,c_547,c_537,c_536,c_535,c_534,c_533,c_278,c_276,c_271,c_252,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_242,c_241,c_240,c_239,c_238,c_236,c_235,c_233,c_232,c_231,c_228,c_227,c_226,c_225,c_224,c_223,c_221,c_220,c_219,c_218,c_217,c_203,c_201,c_199,c_198,c_197,c_195,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_185,c_184,c_180,c_178,c_177,c_176,c_175,c_173,c_172,c_171,c_168,c_165,c_164,c_163,c_161,c_159,c_155,c_153,c_151,c_150,c_149,c_144,c_143,c_140,c_138,c_136,c_134,c_125,c_116,c_111,c_110,c_103,c_101,c_97,c_96,c_95,c_88,c_86,c_77,c_68,c_64,c_63,c_62,c_60,c_55,c_53,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG118+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 04:49:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 4.24/1.19 % SZS status Started for theBenchmark.p
% 4.24/1.19 % SZS status Theorem for theBenchmark.p
% 4.24/1.19
% 4.24/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.24/1.19
% 4.24/1.19 % ------ iProver source info
% 4.24/1.19
% 4.24/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 4.24/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.24/1.19 % git: non_committed_changes: false
% 4.24/1.19
% 4.24/1.19 % ------ Parsing...
% 4.24/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.24/1.19
% 4.24/1.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 39 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e %
% 4.24/1.19
% 4.24/1.19 % ------ Preprocessing...%
% 4.24/1.19
% 4.24/1.19 % SZS status Theorem for theBenchmark.p
% 4.24/1.19
% 4.24/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.20
%------------------------------------------------------------------------------