%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG105+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:27 PM UTC 2026
% Result : Theorem 3.12s 6.77s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f73ERROR: Could not build tree for root c_4633ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( op1(e13,op1(e13,e13)) = op1(e13,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e10,e13)) = op1(e10,e13) )
| ( op1(e12,op1(e13,e12)) = op1(e13,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e10,e12)) = op1(e10,e12) )
| ( op1(e11,op1(e13,e11)) = op1(e13,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e10,e11)) = op1(e10,e11) )
| ( op1(e10,op1(e13,e10)) = op1(e13,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e10,e10)) = op1(e10,e10) ) )
& op1(op1(e13,e13),e13) = e13
& op1(op1(e13,e12),e13) = e12
& op1(op1(e13,e11),e13) = e11
& op1(op1(e13,e10),e13) = e10
& op1(op1(e12,e13),e12) = e13
& op1(op1(e12,e12),e12) = e12
& op1(op1(e12,e11),e12) = e11
& op1(op1(e12,e10),e12) = e10
& op1(op1(e11,e13),e11) = e13
& op1(op1(e11,e12),e11) = e12
& op1(op1(e11,e11),e11) = e11
& op1(op1(e11,e10),e11) = e10
& op1(op1(e10,e13),e10) = e13
& op1(op1(e10,e12),e10) = e12
& op1(op1(e10,e11),e10) = e11
& op1(op1(e10,e10),e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e23,op2(e23,e23)) = op2(e23,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e20,e23)) = op2(e20,e23) )
| ( op2(e22,op2(e23,e22)) = op2(e23,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e20,e22)) = op2(e20,e22) )
| ( op2(e21,op2(e23,e21)) = op2(e23,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e20,e21)) = op2(e20,e21) )
| ( op2(e20,op2(e23,e20)) = op2(e23,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e20,e20)) = op2(e20,e20) ) )
& op2(op2(e23,e23),e23) = e23
& op2(op2(e23,e22),e23) = e22
& op2(op2(e23,e21),e23) = e21
& op2(op2(e23,e20),e23) = e20
& op2(op2(e22,e23),e22) = e23
& op2(op2(e22,e22),e22) = e22
& op2(op2(e22,e21),e22) = e21
& op2(op2(e22,e20),e22) = e20
& op2(op2(e21,e23),e21) = e23
& op2(op2(e21,e22),e21) = e22
& op2(op2(e21,e21),e21) = e21
& op2(op2(e21,e20),e21) = e20
& op2(op2(e20,e23),e20) = e23
& op2(op2(e20,e22),e20) = e22
& op2(op2(e20,e21),e20) = e21
& op2(op2(e20,e20),e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(e12,e11)
& e10 = op1(op1(e12,e11),op1(e12,e11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e22,e21)
& e20 = op2(op2(e22,e21),op2(e22,e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = op2(e21,e20)
& h1(e10) = op2(op2(e21,e20),op2(e21,e20))
& h1(e12) = e21
& h1(e11) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f16,axiom,
( h3(e13) = op2(e23,e20)
& h3(e10) = op2(op2(e23,e20),op2(e23,e20))
& h3(e12) = e23
& h3(e11) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = op2(e20,e21)
& h4(e10) = op2(op2(e20,e21),op2(e20,e21))
& h4(e12) = e20
& h4(e11) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
( h5(e13) = op2(e22,e21)
& h5(e10) = op2(op2(e22,e21),op2(e22,e21))
& h5(e12) = e22
& h5(e11) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
( h6(e13) = op2(e23,e21)
& h6(e10) = op2(op2(e23,e21),op2(e23,e21))
& h6(e12) = e23
& h6(e11) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
( h7(e13) = op2(e20,e22)
& h7(e10) = op2(op2(e20,e22),op2(e20,e22))
& h7(e12) = e20
& h7(e11) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f23,axiom,
( h10(e13) = op2(e20,e23)
& h10(e10) = op2(op2(e20,e23),op2(e20,e23))
& h10(e12) = e20
& h10(e11) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f25,axiom,
( h12(e13) = op2(e22,e23)
& h12(e10) = op2(op2(e22,e23),op2(e22,e23))
& h12(e12) = e22
& h12(e11) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f74,plain,
( ~ sP2
| ( op1(e11,op1(e13,e11)) = op1(e13,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e10,e11)) = op1(e10,e11) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f75,plain,
( ~ sP1
| ( op1(e12,op1(e13,e12)) = op1(e13,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e10,e12)) = op1(e10,e12) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f77,plain,
( ~ sP5
| ( op2(e21,op2(e23,e21)) = op2(e23,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e20,e21)) = op2(e20,e21) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f78,plain,
( ~ sP4
| ( op2(e22,op2(e23,e22)) = op2(e23,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e20,e22)) = op2(e20,e22) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f92,plain,
( ~ sP29
| ( e21 != h5(e13)
& e21 != h5(e12)
& e21 != h5(e11)
& e21 != h5(e10) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f93,plain,
( ~ sP28
| ( e22 != h5(e13)
& e22 != h5(e12)
& e22 != h5(e11)
& e22 != h5(e10) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f94,plain,
( ~ sP27
| ( e23 != h5(e13)
& e23 != h5(e12)
& e23 != h5(e11)
& e23 != h5(e10) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f118,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f120,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f131,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f140,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f160,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f168,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f175,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f178,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f179,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f188,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f213,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f215,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f216,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f230,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f233,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f234,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f235,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f236,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f238,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f241,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f245,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f251,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f261,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f262,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f263,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f267,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f275,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f282,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f283,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f284,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f286,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f287,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f289,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f296,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f299,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f300,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f303,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f307,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f308,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f309,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f314,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f315,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f317,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f318,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f319,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f337,plain,
( ~ sP2
| op1(e12,e11) = op1(e11,op1(e12,e11)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f340,plain,
( ~ sP1
| op1(e13,e12) = op1(e12,op1(e13,e12)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f351,plain,
( sP0
| sP1
| sP2
| op1(e10,e10) = op1(e10,op1(e10,e10)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f352,plain,
e13 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f32]) ).
fof(f353,plain,
e12 = op1(op1(e13,e12),e13),
inference(cnf_transformation,[],[f32]) ).
fof(f358,plain,
e11 = op1(op1(e12,e11),e12),
inference(cnf_transformation,[],[f32]) ).
fof(f359,plain,
e10 = op1(op1(e12,e10),e12),
inference(cnf_transformation,[],[f32]) ).
fof(f363,plain,
e10 = op1(op1(e11,e10),e11),
inference(cnf_transformation,[],[f32]) ).
fof(f364,plain,
e13 = op1(op1(e10,e13),e10),
inference(cnf_transformation,[],[f32]) ).
fof(f369,plain,
( ~ sP5
| op2(e22,e21) = op2(e21,op2(e22,e21)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f372,plain,
( ~ sP4
| op2(e23,e22) = op2(e22,op2(e23,e22)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f383,plain,
( sP3
| sP4
| sP5
| op2(e20,e20) = op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f384,plain,
e23 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f36]) ).
fof(f385,plain,
e22 = op2(op2(e23,e22),e23),
inference(cnf_transformation,[],[f36]) ).
fof(f390,plain,
e21 = op2(op2(e22,e21),e22),
inference(cnf_transformation,[],[f36]) ).
fof(f391,plain,
e20 = op2(op2(e22,e20),e22),
inference(cnf_transformation,[],[f36]) ).
fof(f396,plain,
e23 = op2(op2(e20,e23),e20),
inference(cnf_transformation,[],[f36]) ).
fof(f400,plain,
e13 = op1(e12,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f401,plain,
e10 = op1(op1(e12,e11),op1(e12,e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f402,plain,
e23 = op2(e22,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f403,plain,
e20 = op2(op2(e22,e21),op2(e22,e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f404,plain,
op2(e21,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f412,plain,
op2(e23,e20) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f416,plain,
op2(e20,e21) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f420,plain,
op2(e22,e21) = h5(e13),
inference(cnf_transformation,[],[f18]) ).
fof(f421,plain,
op2(op2(e22,e21),op2(e22,e21)) = h5(e10),
inference(cnf_transformation,[],[f18]) ).
fof(f422,plain,
e22 = h5(e12),
inference(cnf_transformation,[],[f18]) ).
fof(f423,plain,
e21 = h5(e11),
inference(cnf_transformation,[],[f18]) ).
fof(f424,plain,
op2(e23,e21) = h6(e13),
inference(cnf_transformation,[],[f19]) ).
fof(f428,plain,
op2(e20,e22) = h7(e13),
inference(cnf_transformation,[],[f20]) ).
fof(f440,plain,
op2(e20,e23) = h10(e13),
inference(cnf_transformation,[],[f23]) ).
fof(f448,plain,
op2(e22,e23) = h12(e13),
inference(cnf_transformation,[],[f25]) ).
fof(f502,plain,
( ~ sP29
| e21 != h5(e11) ),
inference(cnf_transformation,[],[f92]) ).
fof(f505,plain,
( ~ sP28
| e22 != h5(e12) ),
inference(cnf_transformation,[],[f93]) ).
fof(f508,plain,
( ~ sP27
| e23 != h5(e13) ),
inference(cnf_transformation,[],[f94]) ).
fof(f627,plain,
( sP27
| sP28
| sP29
| e20 != h5(e10)
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_49,plain,
( ( op1(e10,e10) = e13 )
| ( op1(e10,e10) = e12 )
| ( op1(e10,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_60,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_62,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e11) = e10 ) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_67,plain,
( ( op1(e10,e13) = e11 )
| ( op1(e10,e12) = e11 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_68,plain,
( ( op1(e13,e10) = e11 )
| ( op1(e12,e10) = e11 )
| ( op1(e11,e10) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_69,plain,
( ( op1(e10,e13) = e12 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_70,plain,
( ( op1(e13,e10) = e12 )
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_88,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_97,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_98,plain,
( ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_101,plain,
( ( op2(e21,e20) = e23 )
| ( op2(e21,e20) = e22 )
| ( op2(e21,e20) = e21 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_108,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e20 ) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_110,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e20 ) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_113,plain,
( ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_117,plain,
( ( op2(e20,e23) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_118,plain,
( ( op2(e23,e20) = e22 )
| ( op2(e22,e20) = e22 )
| ( op2(e21,e20) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_122,plain,
( ( op2(e23,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e21,e21) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_136,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_153,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f251]) ).
tcf(c_156,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f248]) ).
tcf(c_159,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f245]) ).
tcf(c_163,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f241]) ).
tcf(c_166,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f238]) ).
tcf(c_168,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f236]) ).
tcf(c_169,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f235]) ).
tcf(c_170,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f234]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f233]) ).
tcf(c_174,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f230]) ).
tcf(c_177,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f227]) ).
tcf(c_183,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f221]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f220]) ).
tcf(c_185,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f219]) ).
tcf(c_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f216]) ).
tcf(c_189,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f215]) ).
tcf(c_190,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f214]) ).
tcf(c_191,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f213]) ).
tcf(c_193,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f307]) ).
tcf(c_197,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f303]) ).
tcf(c_200,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f300]) ).
tcf(c_201,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f299]) ).
tcf(c_204,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f296]) ).
tcf(c_211,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f289]) ).
tcf(c_213,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f287]) ).
tcf(c_214,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f286]) ).
tcf(c_216,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f284]) ).
tcf(c_217,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f283]) ).
tcf(c_218,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f282]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f281]) ).
tcf(c_222,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f278]) ).
tcf(c_225,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f275]) ).
tcf(c_232,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f268]) ).
tcf(c_233,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f267]) ).
tcf(c_237,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f263]) ).
tcf(c_238,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f262]) ).
tcf(c_239,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f261]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f309]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f308]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f319]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f318]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f317]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f315]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f314]) ).
tcf(c_271,plain,
( ( op1(e11,op1(e12,e11)) = op1(e12,e11) )
| ~ sP2 ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_276,plain,
( ( op1(e12,op1(e13,e12)) = op1(e13,e12) )
| ~ sP1 ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_284,plain,
op1(op1(e10,e13),e10) = e13,
inference(cnf_transformation,[],[f364]) ).
tcf(c_285,plain,
op1(op1(e11,e10),e11) = e10,
inference(cnf_transformation,[],[f363]) ).
tcf(c_289,plain,
op1(op1(e12,e10),e12) = e10,
inference(cnf_transformation,[],[f359]) ).
tcf(c_290,plain,
op1(op1(e12,e11),e12) = e11,
inference(cnf_transformation,[],[f358]) ).
tcf(c_295,plain,
op1(op1(e13,e12),e13) = e12,
inference(cnf_transformation,[],[f353]) ).
tcf(c_296,plain,
op1(op1(e13,e13),e13) = e13,
inference(cnf_transformation,[],[f352]) ).
tcf(c_297,plain,
( sP0
| sP1
| sP2
| ( op1(e10,op1(e10,e10)) = op1(e10,e10) ) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_303,plain,
( ( op2(e21,op2(e22,e21)) = op2(e22,e21) )
| ~ sP5 ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_308,plain,
( ( op2(e22,op2(e23,e22)) = op2(e23,e22) )
| ~ sP4 ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_316,plain,
op2(op2(e20,e23),e20) = e23,
inference(cnf_transformation,[],[f396]) ).
tcf(c_321,plain,
op2(op2(e22,e20),e22) = e20,
inference(cnf_transformation,[],[f391]) ).
tcf(c_322,plain,
op2(op2(e22,e21),e22) = e21,
inference(cnf_transformation,[],[f390]) ).
tcf(c_327,plain,
op2(op2(e23,e22),e23) = e22,
inference(cnf_transformation,[],[f385]) ).
tcf(c_328,plain,
op2(op2(e23,e23),e23) = e23,
inference(cnf_transformation,[],[f384]) ).
tcf(c_329,plain,
( sP3
| sP4
| sP5
| ( op2(e20,op2(e20,e20)) = op2(e20,e20) ) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_333,plain,
op1(op1(e12,e11),op1(e12,e11)) = e10,
inference(cnf_transformation,[],[f401]) ).
tcf(c_334,plain,
op1(e12,e11) = e13,
inference(cnf_transformation,[],[f400]) ).
tcf(c_335,plain,
op2(op2(e22,e21),op2(e22,e21)) = e20,
inference(cnf_transformation,[],[f403]) ).
tcf(c_336,plain,
op2(e22,e21) = e23,
inference(cnf_transformation,[],[f402]) ).
tcf(c_340,plain,
op2(e21,e20) = h1(e13),
inference(cnf_transformation,[],[f404]) ).
tcf(c_348,plain,
op2(e23,e20) = h3(e13),
inference(cnf_transformation,[],[f412]) ).
tcf(c_352,plain,
op2(e20,e21) = h4(e13),
inference(cnf_transformation,[],[f416]) ).
tcf(c_353,plain,
h5(e11) = e21,
inference(cnf_transformation,[],[f423]) ).
tcf(c_354,plain,
h5(e12) = e22,
inference(cnf_transformation,[],[f422]) ).
tcf(c_355,plain,
op2(op2(e22,e21),op2(e22,e21)) = h5(e10),
inference(cnf_transformation,[],[f421]) ).
tcf(c_356,plain,
op2(e22,e21) = h5(e13),
inference(cnf_transformation,[],[f420]) ).
tcf(c_360,plain,
op2(e23,e21) = h6(e13),
inference(cnf_transformation,[],[f424]) ).
tcf(c_364,plain,
op2(e20,e22) = h7(e13),
inference(cnf_transformation,[],[f428]) ).
tcf(c_376,plain,
op2(e20,e23) = h10(e13),
inference(cnf_transformation,[],[f440]) ).
tcf(c_384,plain,
op2(e22,e23) = h12(e13),
inference(cnf_transformation,[],[f448]) ).
tcf(c_434,plain,
( ~ sP29
| ( h5(e11) != e21 ) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_439,plain,
( ~ sP28
| ( h5(e12) != e22 ) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_444,plain,
( ~ sP27
| ( h5(e13) != e23 ) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_545,negated_conjecture,
( sP27
| sP28
| sP29
| ( h5(e10) != e20 )
| ( op2(h5(e13),h5(e13)) != h5(op1(e13,e13)) )
| ( op2(h5(e13),h5(e12)) != h5(op1(e13,e12)) )
| ( op2(h5(e13),h5(e11)) != h5(op1(e13,e11)) )
| ( op2(h5(e13),h5(e10)) != h5(op1(e13,e10)) )
| ( op2(h5(e12),h5(e13)) != h5(op1(e12,e13)) )
| ( op2(h5(e12),h5(e12)) != h5(op1(e12,e12)) )
| ( op2(h5(e12),h5(e11)) != h5(op1(e12,e11)) )
| ( op2(h5(e12),h5(e10)) != h5(op1(e12,e10)) )
| ( op2(h5(e11),h5(e13)) != h5(op1(e11,e13)) )
| ( op2(h5(e11),h5(e12)) != h5(op1(e11,e12)) )
| ( op2(h5(e11),h5(e11)) != h5(op1(e11,e11)) )
| ( op2(h5(e11),h5(e10)) != h5(op1(e11,e10)) )
| ( op2(h5(e10),h5(e13)) != h5(op1(e10,e13)) )
| ( op2(h5(e10),h5(e12)) != h5(op1(e10,e12)) )
| ( op2(h5(e10),h5(e11)) != h5(op1(e10,e11)) )
| ( op2(h5(e10),h5(e10)) != h5(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f627]) ).
tcf(c_795,negated_conjecture,
( sP27
| ( h5(e10) != e20 )
| ( op2(h5(e13),h5(e13)) != h5(op1(e13,e13)) )
| ( op2(h5(e13),h5(e12)) != h5(op1(e13,e12)) )
| ( op2(h5(e13),h5(e11)) != h5(op1(e13,e11)) )
| ( op2(h5(e13),h5(e10)) != h5(op1(e13,e10)) )
| ( op2(h5(e12),h5(e13)) != h5(op1(e12,e13)) )
| ( op2(h5(e12),h5(e12)) != h5(op1(e12,e12)) )
| ( op2(h5(e12),h5(e11)) != h5(op1(e12,e11)) )
| ( op2(h5(e12),h5(e10)) != h5(op1(e12,e10)) )
| ( op2(h5(e11),h5(e13)) != h5(op1(e11,e13)) )
| ( op2(h5(e11),h5(e12)) != h5(op1(e11,e12)) )
| ( op2(h5(e11),h5(e11)) != h5(op1(e11,e11)) )
| ( op2(h5(e11),h5(e10)) != h5(op1(e11,e10)) )
| ( op2(h5(e10),h5(e13)) != h5(op1(e10,e13)) )
| ( op2(h5(e10),h5(e12)) != h5(op1(e10,e12)) )
| ( op2(h5(e10),h5(e11)) != h5(op1(e10,e11)) )
| ( op2(h5(e10),h5(e10)) != h5(op1(e10,e10)) ) ),
inference(global_subsumption_just,[status(thm)],[c_545,c_354,c_353,c_439,c_434,c_545]) ).
fof(f29,definition,
( ~ sP0
| ( op1(e13,op1(e13,e13)) = op1(e13,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e10,e13)) = op1(e10,e13) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP1
| ( op1(e12,op1(e13,e12)) = op1(e13,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e10,e12)) = op1(e10,e12) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP2
| ( op1(e11,op1(e13,e11)) = op1(e13,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e10,e11)) = op1(e10,e11) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f32,plain,
( ( sP0
| sP1
| sP2
| ( op1(e10,op1(e13,e10)) = op1(e13,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e10,e10)) = op1(e10,e10) ) )
& op1(op1(e13,e13),e13) = e13
& op1(op1(e13,e12),e13) = e12
& op1(op1(e13,e11),e13) = e11
& op1(op1(e13,e10),e13) = e10
& op1(op1(e12,e13),e12) = e13
& op1(op1(e12,e12),e12) = e12
& op1(op1(e12,e11),e12) = e11
& op1(op1(e12,e10),e12) = e10
& op1(op1(e11,e13),e11) = e13
& op1(op1(e11,e12),e11) = e12
& op1(op1(e11,e11),e11) = e11
& op1(op1(e11,e10),e11) = e10
& op1(op1(e10,e13),e10) = e13
& op1(op1(e10,e12),e10) = e12
& op1(op1(e10,e11),e10) = e11
& op1(op1(e10,e10),e10) = e10 ),
inference(definition_folding,[],[f10,f31,f30,f29]) ).
fof(f33,definition,
( ~ sP3
| ( op2(e23,op2(e23,e23)) = op2(e23,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e20,e23)) = op2(e20,e23) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ~ sP4
| ( op2(e22,op2(e23,e22)) = op2(e23,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e20,e22)) = op2(e20,e22) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP5
| ( op2(e21,op2(e23,e21)) = op2(e23,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e20,e21)) = op2(e20,e21) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f36,plain,
( ( sP3
| sP4
| sP5
| ( op2(e20,op2(e23,e20)) = op2(e23,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e20,e20)) = op2(e20,e20) ) )
& op2(op2(e23,e23),e23) = e23
& op2(op2(e23,e22),e23) = e22
& op2(op2(e23,e21),e23) = e21
& op2(op2(e23,e20),e23) = e20
& op2(op2(e22,e23),e22) = e23
& op2(op2(e22,e22),e22) = e22
& op2(op2(e22,e21),e22) = e21
& op2(op2(e22,e20),e22) = e20
& op2(op2(e21,e23),e21) = e23
& op2(op2(e21,e22),e21) = e22
& op2(op2(e21,e21),e21) = e21
& op2(op2(e21,e20),e21) = e20
& op2(op2(e20,e23),e20) = e23
& op2(op2(e20,e22),e20) = e22
& op2(op2(e20,e21),e20) = e21
& op2(op2(e20,e20),e20) = e20 ),
inference(definition_folding,[],[f11,f35,f34,f33]) ).
fof(f76,plain,
( ~ sP0
| ( op1(e13,op1(e13,e13)) = op1(e13,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e10,e13)) = op1(e10,e13) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f79,plain,
( ~ sP3
| ( op2(e23,op2(e23,e23)) = op2(e23,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e20,e23)) = op2(e20,e23) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f344,plain,
( ~ sP0
| op1(e13,e13) = op1(e13,op1(e13,e13)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f376,plain,
( ~ sP3
| op2(e23,e23) = op2(e23,op2(e23,e23)) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_280,plain,
( ( op1(e13,op1(e13,e13)) = op1(e13,e13) )
| ~ sP0 ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_312,plain,
( ( op2(e23,op2(e23,e23)) = op2(e23,e23) )
| ~ sP3 ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_4633,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_795,c_444,c_384,c_376,c_364,c_360,c_356,c_355,c_354,c_353,c_352,c_348,c_340,c_336,c_335,c_334,c_333,c_329,c_328,c_327,c_322,c_321,c_316,c_312,c_308,c_303,c_297,c_296,c_295,c_290,c_289,c_285,c_284,c_280,c_276,c_271,c_252,c_251,c_249,c_248,c_247,c_246,c_245,c_239,c_238,c_237,c_233,c_232,c_225,c_222,c_219,c_218,c_217,c_216,c_214,c_213,c_211,c_204,c_201,c_200,c_197,c_193,c_191,c_190,c_189,c_188,c_185,c_184,c_183,c_177,c_174,c_171,c_170,c_169,c_168,c_166,c_163,c_159,c_156,c_153,c_136,c_122,c_118,c_117,c_113,c_110,c_108,c_101,c_98,c_97,c_88,c_70,c_69,c_68,c_67,c_62,c_60,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG105+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.39 % Computer : n011.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Fri Sep 25 04:47:18 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.45
% 0.16/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.45
% 0.16/5.45 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 3.12/6.77 % SZS status Started for theBenchmark.p
% 3.12/6.77 % SZS status Theorem for theBenchmark.p
% 3.12/6.77
% 3.12/6.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.12/6.77
% 3.12/6.77 % ------ iProver source info
% 3.12/6.77
% 3.12/6.77 % git: date: 2026-07-19 20:42:38 +0200
% 3.12/6.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.12/6.77 % git: non_committed_changes: false
% 3.12/6.77
% 3.12/6.77 % ------ Parsing...
% 3.12/6.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.12/6.77
% 3.12/6.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 18 0s sf_e pe_s pe_e %
% 3.12/6.77
% 3.12/6.77 % ------ Preprocessing...%
% 3.12/6.77
% 3.12/6.77 % SZS status Theorem for theBenchmark.p
% 3.12/6.77
% 3.12/6.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/6.77
% 3.12/6.77
%------------------------------------------------------------------------------