%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG015+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 : n003.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 12:53:10 PM UTC 2026
% Result : Theorem 2.50s 6.28s
% Output : CNFRefutation 2.50s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f87ERROR: Could not build tree for root c_8191ERROR: 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(op1(e13,e13),e13) = op1(e13,op1(e13,e13))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f5,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',ax5) ).
fof(f6,axiom,
( op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f17,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',ax17) ).
fof(f18,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',ax18) ).
fof(f19,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f22,axiom,
( ( op1(e13,e13) = e13
& op1(e12,e12) = e13
& op1(e11,e11) = e13
& op1(e10,e10) = e13 )
| ( op1(e13,e13) = e12
& op1(e12,e12) = e12
& op1(e11,e11) = e12
& op1(e10,e10) = e12 )
| ( op1(e13,e13) = e11
& op1(e12,e12) = e11
& op1(e11,e11) = e11
& op1(e10,e10) = e11 )
| ( op1(e13,e13) = e10
& op1(e12,e12) = e10
& op1(e11,e11) = e10
& op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
( ( op2(e23,e23) = e23
& op2(e22,e22) = e23
& op2(e21,e21) = e23
& op2(e20,e20) = e23 )
| ( op2(e23,e23) = e22
& op2(e22,e22) = e22
& op2(e21,e21) = e22
& op2(e20,e20) = e22 )
| ( op2(e23,e23) = e21
& op2(e22,e22) = e21
& op2(e21,e21) = e21
& op2(e20,e20) = e21 )
| ( op2(e23,e23) = e20
& op2(e22,e22) = e20
& op2(e21,e21) = e20
& op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
( e11 = op1(e12,e13)
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
( e21 = op2(e22,e23)
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f27,axiom,
( h2(e11) = op2(e20,e22)
& h2(e10) = op2(e22,e22)
& h2(e13) = e22
& h2(e12) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f28,axiom,
( h3(e11) = op2(e20,e23)
& h3(e10) = op2(e23,e23)
& h3(e13) = e23
& h3(e12) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f30,axiom,
( h5(e11) = op2(e21,e22)
& h5(e10) = op2(e22,e22)
& h5(e13) = e22
& h5(e12) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f34,axiom,
( h9(e11) = op2(e22,e23)
& h9(e10) = op2(e23,e23)
& h9(e13) = e23
& h9(e12) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f36,axiom,
( h11(e11) = op2(e23,e21)
& h11(e10) = op2(e21,e21)
& h11(e13) = e21
& h11(e12) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
( h12(e11) = op2(e23,e22)
& h12(e10) = op2(e22,e22)
& h12(e13) = e22
& h12(e12) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f88,plain,
( ~ sP2
| ( op1(e13,e13) = e11
& op1(e12,e12) = e11
& op1(e11,e11) = e11
& op1(e10,e10) = e11 ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f89,plain,
( ~ sP1
| ( op1(e13,e13) = e12
& op1(e12,e12) = e12
& op1(e11,e11) = e12
& op1(e10,e10) = e12 ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f91,plain,
( ~ sP5
| ( op2(e23,e23) = e21
& op2(e22,e22) = e21
& op2(e21,e21) = e21
& op2(e20,e20) = e21 ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f92,plain,
( ~ sP4
| ( op2(e23,e23) = e22
& op2(e22,e22) = e22
& op2(e21,e21) = e22
& op2(e20,e20) = e22 ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f118,plain,
( ~ sP17
| ( e21 != h9(e13)
& e21 != h9(e12)
& e21 != h9(e11)
& e21 != h9(e10) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f119,plain,
( ~ sP16
| ( e22 != h9(e13)
& e22 != h9(e12)
& e22 != h9(e11)
& e22 != h9(e10) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f120,plain,
( ~ sP15
| ( e23 != h9(e13)
& e23 != h9(e12)
& e23 != h9(e11)
& e23 != h9(e10) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f142,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f143,plain,
( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f144,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f146,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12)),
inference(cnf_transformation,[],[f2]) ).
fof(f160,plain,
op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11)),
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10)),
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10)),
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(cnf_transformation,[],[f2]) ).
fof(f172,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(cnf_transformation,[],[f2]) ).
fof(f197,plain,
op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10)),
inference(cnf_transformation,[],[f2]) ).
fof(f243,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f249,plain,
op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
inference(cnf_transformation,[],[f6]) ).
fof(f261,plain,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
inference(cnf_transformation,[],[f6]) ).
fof(f263,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f267,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(cnf_transformation,[],[f6]) ).
fof(f287,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f289,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f6]) ).
fof(f292,plain,
op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f299,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(cnf_transformation,[],[f6]) ).
fof(f300,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(cnf_transformation,[],[f6]) ).
fof(f392,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f404,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f412,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f413,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f414,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f420,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f17]) ).
fof(f427,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f17]) ).
fof(f429,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f17]) ).
fof(f434,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f440,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f452,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f460,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f461,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f462,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f468,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f484,plain,
e11 != e12,
inference(cnf_transformation,[],[f19]) ).
fof(f485,plain,
e10 != e13,
inference(cnf_transformation,[],[f19]) ).
fof(f486,plain,
e10 != e12,
inference(cnf_transformation,[],[f19]) ).
fof(f491,plain,
e20 != e23,
inference(cnf_transformation,[],[f20]) ).
fof(f492,plain,
e20 != e22,
inference(cnf_transformation,[],[f20]) ).
fof(f511,plain,
( ~ sP2
| e11 = op1(e12,e12) ),
inference(cnf_transformation,[],[f88]) ).
fof(f514,plain,
( ~ sP1
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f89]) ).
fof(f523,plain,
( sP0
| sP1
| sP2
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f46]) ).
fof(f524,plain,
( sP0
| sP1
| sP2
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f46]) ).
fof(f525,plain,
( sP0
| sP1
| sP2
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f46]) ).
fof(f527,plain,
( ~ sP5
| e21 = op2(e22,e22) ),
inference(cnf_transformation,[],[f91]) ).
fof(f530,plain,
( ~ sP4
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f92]) ).
fof(f539,plain,
( sP3
| sP4
| sP5
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f50]) ).
fof(f540,plain,
( sP3
| sP4
| sP5
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f50]) ).
fof(f541,plain,
( sP3
| sP4
| sP5
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f50]) ).
fof(f542,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f24]) ).
fof(f543,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f24]) ).
fof(f544,plain,
e21 = op2(e22,e23),
inference(cnf_transformation,[],[f25]) ).
fof(f545,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f25]) ).
fof(f550,plain,
op2(e20,e22) = h2(e11),
inference(cnf_transformation,[],[f27]) ).
fof(f554,plain,
op2(e20,e23) = h3(e11),
inference(cnf_transformation,[],[f28]) ).
fof(f562,plain,
op2(e21,e22) = h5(e11),
inference(cnf_transformation,[],[f30]) ).
fof(f578,plain,
op2(e22,e23) = h9(e11),
inference(cnf_transformation,[],[f34]) ).
fof(f579,plain,
op2(e23,e23) = h9(e10),
inference(cnf_transformation,[],[f34]) ).
fof(f580,plain,
e23 = h9(e13),
inference(cnf_transformation,[],[f34]) ).
fof(f581,plain,
e22 = h9(e12),
inference(cnf_transformation,[],[f34]) ).
fof(f586,plain,
op2(e23,e21) = h11(e11),
inference(cnf_transformation,[],[f36]) ).
fof(f590,plain,
op2(e23,e22) = h12(e11),
inference(cnf_transformation,[],[f37]) ).
fof(f591,plain,
op2(e22,e22) = h12(e10),
inference(cnf_transformation,[],[f37]) ).
fof(f692,plain,
( ~ sP17
| e21 != h9(e11) ),
inference(cnf_transformation,[],[f118]) ).
fof(f695,plain,
( ~ sP16
| e22 != h9(e12) ),
inference(cnf_transformation,[],[f119]) ).
fof(f698,plain,
( ~ sP15
| e23 != h9(e13) ),
inference(cnf_transformation,[],[f120]) ).
fof(f753,plain,
( sP15
| sP16
| sP17
| e20 != h9(e10)
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_50,plain,
( ( op1(e10,e11) = e13 )
| ( op1(e10,e11) = e12 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_51,plain,
( ( op1(e10,e12) = e13 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e12) = e11 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_52,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e13) = e12 )
| ( op1(e10,e13) = e11 )
| ( op1(e10,e13) = e10 ) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_77,plain,
op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10)),
inference(cnf_transformation,[],[f197]) ).
tcf(c_83,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(cnf_transformation,[],[f191]) ).
tcf(c_86,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[],[f188]) ).
tcf(c_88,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(cnf_transformation,[],[f186]) ).
tcf(c_102,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(cnf_transformation,[],[f172]) ).
tcf(c_103,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(cnf_transformation,[],[f171]) ).
tcf(c_107,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f167]) ).
tcf(c_108,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(cnf_transformation,[],[f166]) ).
tcf(c_109,plain,
op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10)),
inference(cnf_transformation,[],[f165]) ).
tcf(c_112,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(cnf_transformation,[],[f162]) ).
tcf(c_113,plain,
op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10)),
inference(cnf_transformation,[],[f161]) ).
tcf(c_114,plain,
op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11)),
inference(cnf_transformation,[],[f160]) ).
tcf(c_115,plain,
op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12)),
inference(cnf_transformation,[],[f159]) ).
tcf(c_128,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f146]) ).
tcf(c_152,plain,
( ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e22) = e20 ) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_153,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_176,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(cnf_transformation,[],[f300]) ).
tcf(c_177,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(cnf_transformation,[],[f299]) ).
tcf(c_184,plain,
op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22)),
inference(cnf_transformation,[],[f292]) ).
tcf(c_187,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f289]) ).
tcf(c_189,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(cnf_transformation,[],[f287]) ).
tcf(c_203,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(cnf_transformation,[],[f273]) ).
tcf(c_208,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f268]) ).
tcf(c_209,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(cnf_transformation,[],[f267]) ).
tcf(c_213,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(cnf_transformation,[],[f263]) ).
tcf(c_215,plain,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
inference(cnf_transformation,[],[f261]) ).
tcf(c_227,plain,
op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
inference(cnf_transformation,[],[f249]) ).
tcf(c_229,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f247]) ).
tcf(c_301,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f429]) ).
tcf(c_303,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f427]) ).
tcf(c_310,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f420]) ).
tcf(c_316,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f414]) ).
tcf(c_317,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f413]) ).
tcf(c_318,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f412]) ).
tcf(c_326,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f404]) ).
tcf(c_338,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f392]) ).
tcf(c_358,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f468]) ).
tcf(c_364,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f462]) ).
tcf(c_365,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f461]) ).
tcf(c_366,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f460]) ).
tcf(c_374,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f452]) ).
tcf(c_386,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f440]) ).
tcf(c_392,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f434]) ).
tcf(c_394,plain,
e10 != e12,
inference(cnf_transformation,[],[f486]) ).
tcf(c_395,plain,
e10 != e13,
inference(cnf_transformation,[],[f485]) ).
tcf(c_396,plain,
e11 != e12,
inference(cnf_transformation,[],[f484]) ).
tcf(c_400,plain,
e20 != e22,
inference(cnf_transformation,[],[f492]) ).
tcf(c_401,plain,
e20 != e23,
inference(cnf_transformation,[],[f491]) ).
tcf(c_423,plain,
( ( op1(e12,e12) = e11 )
| ~ sP2 ),
inference(cnf_transformation,[],[f511]) ).
tcf(c_428,plain,
( ( op1(e13,e13) = e12 )
| ~ sP1 ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_433,plain,
( sP0
| sP1
| sP2
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_434,plain,
( sP0
| sP1
| sP2
| ( op1(e11,e11) = e10 ) ),
inference(cnf_transformation,[],[f524]) ).
tcf(c_435,plain,
( sP0
| sP1
| sP2
| ( op1(e12,e12) = e10 ) ),
inference(cnf_transformation,[],[f523]) ).
tcf(c_439,plain,
( ( op2(e22,e22) = e21 )
| ~ sP5 ),
inference(cnf_transformation,[],[f527]) ).
tcf(c_444,plain,
( ( op2(e23,e23) = e22 )
| ~ sP4 ),
inference(cnf_transformation,[],[f530]) ).
tcf(c_449,plain,
( sP3
| sP4
| sP5
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f541]) ).
tcf(c_450,plain,
( sP3
| sP4
| sP5
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f540]) ).
tcf(c_451,plain,
( sP3
| sP4
| sP5
| ( op2(e22,e22) = e20 ) ),
inference(cnf_transformation,[],[f539]) ).
tcf(c_453,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f543]) ).
tcf(c_454,plain,
op1(e12,e13) = e11,
inference(cnf_transformation,[],[f542]) ).
tcf(c_455,plain,
op2(e23,e23) = e20,
inference(cnf_transformation,[],[f545]) ).
tcf(c_456,plain,
op2(e22,e23) = e21,
inference(cnf_transformation,[],[f544]) ).
tcf(c_464,plain,
op2(e20,e22) = h2(e11),
inference(cnf_transformation,[],[f550]) ).
tcf(c_468,plain,
op2(e20,e23) = h3(e11),
inference(cnf_transformation,[],[f554]) ).
tcf(c_476,plain,
op2(e21,e22) = h5(e11),
inference(cnf_transformation,[],[f562]) ).
tcf(c_489,plain,
h9(e12) = e22,
inference(cnf_transformation,[],[f581]) ).
tcf(c_490,plain,
h9(e13) = e23,
inference(cnf_transformation,[],[f580]) ).
tcf(c_491,plain,
op2(e23,e23) = h9(e10),
inference(cnf_transformation,[],[f579]) ).
tcf(c_492,plain,
op2(e22,e23) = h9(e11),
inference(cnf_transformation,[],[f578]) ).
tcf(c_500,plain,
op2(e23,e21) = h11(e11),
inference(cnf_transformation,[],[f586]) ).
tcf(c_503,plain,
op2(e22,e22) = h12(e10),
inference(cnf_transformation,[],[f591]) ).
tcf(c_504,plain,
op2(e23,e22) = h12(e11),
inference(cnf_transformation,[],[f590]) ).
tcf(c_602,plain,
( ~ sP17
| ( h9(e11) != e21 ) ),
inference(cnf_transformation,[],[f692]) ).
tcf(c_607,plain,
( ~ sP16
| ( h9(e12) != e22 ) ),
inference(cnf_transformation,[],[f695]) ).
tcf(c_612,plain,
( ~ sP15
| ( h9(e13) != e23 ) ),
inference(cnf_transformation,[],[f698]) ).
tcf(c_681,negated_conjecture,
( sP15
| sP16
| sP17
| ( h9(e10) != e20 )
| ( op2(h9(e13),h9(e13)) != h9(op1(e13,e13)) )
| ( op2(h9(e13),h9(e12)) != h9(op1(e13,e12)) )
| ( op2(h9(e13),h9(e11)) != h9(op1(e13,e11)) )
| ( op2(h9(e13),h9(e10)) != h9(op1(e13,e10)) )
| ( op2(h9(e12),h9(e13)) != h9(op1(e12,e13)) )
| ( op2(h9(e12),h9(e12)) != h9(op1(e12,e12)) )
| ( op2(h9(e12),h9(e11)) != h9(op1(e12,e11)) )
| ( op2(h9(e12),h9(e10)) != h9(op1(e12,e10)) )
| ( op2(h9(e11),h9(e13)) != h9(op1(e11,e13)) )
| ( op2(h9(e11),h9(e12)) != h9(op1(e11,e12)) )
| ( op2(h9(e11),h9(e11)) != h9(op1(e11,e11)) )
| ( op2(h9(e11),h9(e10)) != h9(op1(e11,e10)) )
| ( op2(h9(e10),h9(e13)) != h9(op1(e10,e13)) )
| ( op2(h9(e10),h9(e12)) != h9(op1(e10,e12)) )
| ( op2(h9(e10),h9(e11)) != h9(op1(e10,e11)) )
| ( op2(h9(e10),h9(e10)) != h9(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f753]) ).
tcf(c_883,negated_conjecture,
( sP17
| ( h9(e10) != e20 )
| ( op2(h9(e13),h9(e13)) != h9(op1(e13,e13)) )
| ( op2(h9(e13),h9(e12)) != h9(op1(e13,e12)) )
| ( op2(h9(e13),h9(e11)) != h9(op1(e13,e11)) )
| ( op2(h9(e13),h9(e10)) != h9(op1(e13,e10)) )
| ( op2(h9(e12),h9(e13)) != h9(op1(e12,e13)) )
| ( op2(h9(e12),h9(e12)) != h9(op1(e12,e12)) )
| ( op2(h9(e12),h9(e11)) != h9(op1(e12,e11)) )
| ( op2(h9(e12),h9(e10)) != h9(op1(e12,e10)) )
| ( op2(h9(e11),h9(e13)) != h9(op1(e11,e13)) )
| ( op2(h9(e11),h9(e12)) != h9(op1(e11,e12)) )
| ( op2(h9(e11),h9(e11)) != h9(op1(e11,e11)) )
| ( op2(h9(e11),h9(e10)) != h9(op1(e11,e10)) )
| ( op2(h9(e10),h9(e13)) != h9(op1(e10,e13)) )
| ( op2(h9(e10),h9(e12)) != h9(op1(e10,e12)) )
| ( op2(h9(e10),h9(e11)) != h9(op1(e10,e11)) )
| ( op2(h9(e10),h9(e10)) != h9(op1(e10,e10)) ) ),
inference(global_subsumption_just,[status(thm)],[c_681,c_490,c_489,c_612,c_607,c_681]) ).
fof(f43,definition,
( ~ sP0
| ( op1(e13,e13) = e13
& op1(e12,e12) = e13
& op1(e11,e11) = e13
& op1(e10,e10) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ~ sP1
| ( op1(e13,e13) = e12
& op1(e12,e12) = e12
& op1(e11,e11) = e12
& op1(e10,e10) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ~ sP2
| ( op1(e13,e13) = e11
& op1(e12,e12) = e11
& op1(e11,e11) = e11
& op1(e10,e10) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f46,plain,
( sP0
| sP1
| sP2
| ( op1(e13,e13) = e10
& op1(e12,e12) = e10
& op1(e11,e11) = e10
& op1(e10,e10) = e10 ) ),
inference(definition_folding,[],[f22,f45,f44,f43]) ).
fof(f47,definition,
( ~ sP3
| ( op2(e23,e23) = e23
& op2(e22,e22) = e23
& op2(e21,e21) = e23
& op2(e20,e20) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ~ sP4
| ( op2(e23,e23) = e22
& op2(e22,e22) = e22
& op2(e21,e21) = e22
& op2(e20,e20) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ~ sP5
| ( op2(e23,e23) = e21
& op2(e22,e22) = e21
& op2(e21,e21) = e21
& op2(e20,e20) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f50,plain,
( sP3
| sP4
| sP5
| ( op2(e23,e23) = e20
& op2(e22,e22) = e20
& op2(e21,e21) = e20
& op2(e20,e20) = e20 ) ),
inference(definition_folding,[],[f23,f49,f48,f47]) ).
fof(f90,plain,
( ~ sP0
| ( op1(e13,e13) = e13
& op1(e12,e12) = e13
& op1(e11,e11) = e13
& op1(e10,e10) = e13 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f93,plain,
( ~ sP3
| ( op2(e23,e23) = e23
& op2(e22,e22) = e23
& op2(e21,e21) = e23
& op2(e20,e20) = e23 ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f518,plain,
( ~ sP0
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f90]) ).
fof(f534,plain,
( ~ sP3
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_432,plain,
( ( op1(e13,e13) = e13 )
| ~ sP0 ),
inference(cnf_transformation,[],[f518]) ).
tcf(c_448,plain,
( ( op2(e23,e23) = e23 )
| ~ sP3 ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_8191,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_883,c_602,c_504,c_503,c_500,c_492,c_491,c_490,c_489,c_476,c_468,c_464,c_456,c_455,c_454,c_453,c_451,c_450,c_449,c_448,c_444,c_439,c_435,c_434,c_433,c_432,c_428,c_423,c_401,c_400,c_396,c_395,c_394,c_392,c_386,c_374,c_366,c_365,c_364,c_358,c_338,c_326,c_318,c_317,c_316,c_310,c_303,c_301,c_229,c_227,c_215,c_213,c_209,c_208,c_203,c_189,c_187,c_184,c_177,c_176,c_153,c_152,c_128,c_115,c_114,c_113,c_112,c_109,c_108,c_107,c_103,c_102,c_88,c_86,c_83,c_77,c_52,c_51,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG015+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n003.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Fri Sep 25 04:33:43 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.42
% 0.15/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42
% 0.15/5.42 % Detected problem language: tptp
% 0.15/5.43 % Proving...
% 2.50/6.28 % SZS status Started for theBenchmark.p
% 2.50/6.28 % SZS status Theorem for theBenchmark.p
% 2.50/6.28
% 2.50/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.50/6.28
% 2.50/6.28 % ------ iProver source info
% 2.50/6.28
% 2.50/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.50/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.50/6.28 % git: non_committed_changes: false
% 2.50/6.28
% 2.50/6.28 % ------ Parsing...
% 2.50/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.50/6.28
% 2.50/6.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 18 0s sf_e pe_s pe_e %
% 2.50/6.28
% 2.50/6.28 % ------ Preprocessing...%
% 2.50/6.28
% 2.50/6.28 % SZS status Theorem for theBenchmark.p
% 2.50/6.28
% 2.50/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.50/6.28
% 2.50/6.28
%------------------------------------------------------------------------------