%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG043+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 09:45:45 AM UTC 2025
% Result : Theorem 5.37s 1.06s
% Output : CNFRefutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 191 ( 88 unt; 0 def)
% Number of atoms : 862 ( 665 equ)
% Maximal formula atoms : 220 ( 4 avg)
% Number of connectives : 892 ( 221 ~; 518 |; 153 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 62 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 50 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
( ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 )
& op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ( ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 )
& op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(23,plain,
( op(e3,e3) != e0
| op(e3,unit) != e3
| op(e0,e0) != e0
| op(e0,unit) != e0
| op(e1,e1) != e0
| op(e1,unit) != e1
| op(e2,e2) != e0
| op(e2,unit) != e2
| op(unit,e3) != e3
| op(unit,e0) != e0
| op(unit,e1) != e1
| op(unit,e2) != e2
| sP11
| sP26
| sP29
| sP35
| sP41
| sP47
| sP0
| sP1
| sP2
| sP3
| sP6
| sP4
| sP7
| sP5
| sP8
| sP9
| sP10
| sP12
| sP13
| sP14
| sP15
| sP17
| sP19
| sP22
| sP16
| sP23
| sP24
| sP18
| sP25
| sP20
| sP21
| sP27
| sP28
| sP30
| sP31
| sP32
| sP33
| sP34
| sP36
| sP37
| sP38
| sP39
| sP40
| sP42
| sP44
| sP43
| sP45
| sP46
| sP48 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( op(e3,e3) != e0
| op(e3,unit) != e3
| op(e0,e0) != e0
| op(e0,unit) != e0
| op(e1,e1) != e0
| op(e1,unit) != e1
| op(e2,e2) != e0
| op(e2,unit) != e2
| op(unit,e3) != e3
| op(unit,e0) != e0
| op(unit,e1) != e1
| op(unit,e2) != e2
| sP11
| sP26
| sP29
| sP35
| sP41
| sP47
| sP0
| sP1
| sP2
| sP3
| sP6
| sP4
| sP7
| sP5
| sP8
| sP9
| sP10
| sP12
| sP13
| sP14
| sP15
| sP17
| sP19
| sP22
| sP16
| sP23
| sP24
| sP18
| sP25
| sP20
| sP21
| sP27
| sP28
| sP30
| sP31
| sP32
| sP33
| sP34
| sP36
| sP37
| sP38
| sP39
| sP40
| sP42
| sP44
| sP43
| sP45
| sP46
| sP48 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(74,plain,
( op(e2,e0) != e2
| ~ sP37 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l23,plain,
( op(e2,e0) != e2
| ~ sP37 ),
inference(instantiation,[status(thm)],[74]) ).
cnf(188,plain,
( op(e2,e0) != e2
| ~ sP8 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l107,plain,
( op(e2,e0) != e2
| ~ sP8 ),
inference(instantiation,[status(thm)],[188]) ).
cnf(114,plain,
( op(e1,e0) != e1
| ~ sP27 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l40,plain,
( op(e1,e0) != e1
| ~ sP27 ),
inference(instantiation,[status(thm)],[114]) ).
cnf(30,plain,
( op(e0,e3) != e3
| ~ sP48 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l36,plain,
( op(e0,e3) != e3
| ~ sP48 ),
inference(instantiation,[status(thm)],[30]) ).
cnf(136,plain,
( op(e0,e2) != e2
| ~ sP21 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l58,plain,
( op(e0,e2) != e2
| ~ sP21 ),
inference(instantiation,[status(thm)],[136]) ).
fof(ax2,plain,
( op(e0,e0) = e0
& op(e0,e1) = e1
& op(e0,e2) = e2
& op(e0,e3) = e3
& op(e1,e0) = e1
& op(e1,e1) = e0
& op(e1,e2) = e3
& op(e1,e3) = e2
& op(e2,e0) = e2
& op(e2,e1) = e3
& op(e2,e2) = e0
& op(e2,e3) = e1
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e1
& op(e3,e3) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(14,plain,
op(e2,e0) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l157,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(182,plain,
( op(e2,e2) != e0
| ~ sP10 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l26,plain,
( op(e2,e2) != e0
| ~ sP10 ),
inference(instantiation,[status(thm)],[182]) ).
cnf(171,plain,
( op(e3,e0) != e3
| ~ sP12 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l31,plain,
( op(e3,e0) != e3
| ~ sP12 ),
inference(instantiation,[status(thm)],[171]) ).
cnf(162,plain,
( op(e3,e3) != e0
| ~ sP15 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l61,plain,
( op(e3,e3) != e0
| ~ sP15 ),
inference(instantiation,[status(thm)],[162]) ).
cnf(55,plain,
( op(e3,e3) != e0
| ~ sP41 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l52,plain,
( op(e3,e3) != e0
| ~ sP41 ),
inference(instantiation,[status(thm)],[55]) ).
cnf(205,plain,
( op(e1,e0) != e1
| ~ sP4 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l96,plain,
( op(e1,e0) != e1
| ~ sP4 ),
inference(instantiation,[status(thm)],[205]) ).
cnf(217,plain,
( op(e0,e1) != e1
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l93,plain,
( op(e0,e1) != e1
| ~ sP1 ),
inference(instantiation,[status(thm)],[217]) ).
cnf(202,plain,
( op(e1,e1) != e0
| ~ sP5 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l78,plain,
( op(e1,e1) != e0
| ~ sP5 ),
inference(instantiation,[status(thm)],[202]) ).
cnf(222,plain,
( op(e0,e0) != e0
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l100,plain,
( op(e0,e0) != e0
| ~ sP0 ),
inference(instantiation,[status(thm)],[222]) ).
cnf(154,plain,
( op(e0,e0) != e0
| ~ sP17 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l92,plain,
( op(e0,e0) != e0
| ~ sP17 ),
inference(instantiation,[status(thm)],[154]) ).
cnf(21,plain,
op(e3,e3) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l15,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(183,plain,
( op(e2,e1) != e3
| ~ sP9 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l11,plain,
( op(e2,e1) != e3
| ~ sP9 ),
inference(instantiation,[status(thm)],[183]) ).
cnf(117,plain,
( op(e1,e1) != e0
| ~ sP26 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l27,plain,
( op(e1,e1) != e0
| ~ sP26 ),
inference(instantiation,[status(thm)],[117]) ).
cnf(84,plain,
( op(e2,e2) != e0
| ~ sP34 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l13,plain,
( op(e2,e2) != e0
| ~ sP34 ),
inference(instantiation,[status(thm)],[84]) ).
cnf(16,plain,
op(e2,e2) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l41,plain,
op(e2,e2) = e0,
inference(instantiation,[status(thm)],[16]) ).
cnf(l154,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(92,plain,
( op(e2,e1) != e3
| ~ sP32 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l19,plain,
( op(e2,e1) != e3
| ~ sP32 ),
inference(instantiation,[status(thm)],[92]) ).
cnf(10,plain,
op(e1,e0) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l42,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(123,plain,
( op(e3,e0) != e3
| ~ sP24 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l21,plain,
( op(e3,e0) != e3
| ~ sP24 ),
inference(instantiation,[status(thm)],[123]) ).
cnf(11,plain,
op(e1,e1) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l83,plain,
op(e1,e1) = e0,
inference(instantiation,[status(thm)],[11]) ).
cnf(l167,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l105,plain,
op(e1,e1) = e0,
inference(instantiation,[status(thm)],[11]) ).
cnf(l3,plain,
op(e2,e2) = e0,
inference(instantiation,[status(thm)],[16]) ).
cnf(48,plain,
( op(e3,e2) != e1
| ~ sP43 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l6,plain,
( op(e3,e2) != e1
| ~ sP43 ),
inference(instantiation,[status(thm)],[48]) ).
cnf(150,plain,
( op(e0,e0) != e0
| ~ sP18 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l38,plain,
( op(e0,e0) != e0
| ~ sP18 ),
inference(instantiation,[status(thm)],[150]) ).
cnf(192,plain,
( op(e1,e3) != e2
| ~ sP7 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l7,plain,
( op(e1,e3) != e2
| ~ sP7 ),
inference(instantiation,[status(thm)],[192]) ).
cnf(20,plain,
op(e3,e2) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l72,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(70,plain,
( op(e0,e2) != e2
| ~ sP38 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l63,plain,
( op(e0,e2) != e2
| ~ sP38 ),
inference(instantiation,[status(thm)],[70]) ).
fof(ax3,plain,
unit = e0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(22,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
cnf(l131,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(7,plain,
op(e0,e1) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l225,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[7]) ).
cnf(15,plain,
op(e2,e1) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l56,plain,
op(e2,e1) = e3,
inference(instantiation,[status(thm)],[15]) ).
cnf(18,plain,
op(e3,e0) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l73,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(34,plain,
( op(e3,e0) != e3
| ~ sP47 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l118,plain,
( op(e3,e0) != e3
| ~ sP47 ),
inference(instantiation,[status(thm)],[34]) ).
cnf(212,plain,
( op(e0,e2) != e2
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l4,plain,
( op(e0,e2) != e2
| ~ sP2 ),
inference(instantiation,[status(thm)],[212]) ).
cnf(195,plain,
( op(e1,e2) != e3
| ~ sP6 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l48,plain,
( op(e1,e2) != e3
| ~ sP6 ),
inference(instantiation,[status(thm)],[195]) ).
cnf(6,plain,
op(e0,e0) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l156,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(l20,plain,
op(e2,e2) = e0,
inference(instantiation,[status(thm)],[16]) ).
cnf(l60,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(165,plain,
( op(e3,e2) != e1
| ~ sP14 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l49,plain,
( op(e3,e2) != e1
| ~ sP14 ),
inference(instantiation,[status(thm)],[165]) ).
cnf(121,plain,
( op(e1,e1) != e0
| ~ sP25 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l14,plain,
( op(e1,e1) != e0
| ~ sP25 ),
inference(instantiation,[status(thm)],[121]) ).
cnf(9,plain,
op(e0,e3) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l50,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[9]) ).
cnf(37,plain,
( op(e1,e3) != e2
| ~ sP46 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l89,plain,
( op(e1,e3) != e2
| ~ sP46 ),
inference(instantiation,[status(thm)],[37]) ).
cnf(l39,plain,
op(e1,e1) = e0,
inference(instantiation,[status(thm)],[11]) ).
cnf(65,plain,
( op(e2,e1) != e3
| ~ sP39 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l86,plain,
( op(e2,e1) != e3
| ~ sP39 ),
inference(instantiation,[status(thm)],[65]) ).
cnf(44,plain,
( op(e2,e3) != e1
| ~ sP44 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l139,plain,
( op(e2,e3) != e1
| ~ sP44 ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l178,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[7]) ).
cnf(88,plain,
( op(e2,e2) != e0
| ~ sP33 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l18,plain,
( op(e2,e2) != e0
| ~ sP33 ),
inference(instantiation,[status(thm)],[88]) ).
cnf(l79,plain,
op(e2,e1) = e3,
inference(instantiation,[status(thm)],[15]) ).
cnf(l75,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[9]) ).
cnf(96,plain,
( op(e1,e2) != e3
| ~ sP31 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l46,plain,
( op(e1,e2) != e3
| ~ sP31 ),
inference(instantiation,[status(thm)],[96]) ).
cnf(l166,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(l180,plain,
op(e2,e1) = e3,
inference(instantiation,[status(thm)],[15]) ).
cnf(17,plain,
op(e2,e3) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l146,plain,
op(e2,e3) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(132,plain,
( op(e2,e0) != e2
| ~ sP22 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l29,plain,
( op(e2,e0) != e2
| ~ sP22 ),
inference(instantiation,[status(thm)],[132]) ).
cnf(12,plain,
op(e1,e2) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l69,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[12]) ).
cnf(l71,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[12]) ).
cnf(127,plain,
( op(e0,e3) != e3
| ~ sP23 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l30,plain,
( op(e0,e3) != e3
| ~ sP23 ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l183,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(168,plain,
( op(e3,e1) != e2
| ~ sP13 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l37,plain,
( op(e3,e1) != e2
| ~ sP13 ),
inference(instantiation,[status(thm)],[168]) ).
cnf(l129,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(19,plain,
op(e3,e1) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l43,plain,
op(e3,e1) = e2,
inference(instantiation,[status(thm)],[19]) ).
cnf(8,plain,
op(e0,e2) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l62,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(l189,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(51,plain,
( op(e3,e3) != e0
| ~ sP42 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l8,plain,
( op(e3,e3) != e0
| ~ sP42 ),
inference(instantiation,[status(thm)],[51]) ).
cnf(l51,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l5,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(l262,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(13,plain,
op(e1,e3) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l170,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l97,plain,
op(e1,e1) = e0,
inference(instantiation,[status(thm)],[11]) ).
cnf(207,plain,
( op(e0,e3) != e3
| ~ sP3 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
( op(e0,e3) != e3
| ~ sP3 ),
inference(instantiation,[status(thm)],[207]) ).
cnf(75,plain,
( op(e3,e2) != e1
| ~ sP36 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l12,plain,
( op(e3,e2) != e1
| ~ sP36 ),
inference(instantiation,[status(thm)],[75]) ).
cnf(l47,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l94,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l64,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(l33,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l25,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l85,plain,
op(e2,e2) = e0,
inference(instantiation,[status(thm)],[16]) ).
cnf(158,plain,
( unit != e0
| ~ sP16 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l65,plain,
( unit != e0
| ~ sP16 ),
inference(instantiation,[status(thm)],[158]) ).
cnf(103,plain,
( op(e1,e3) != e2
| ~ sP29 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l59,plain,
( op(e1,e3) != e2
| ~ sP29 ),
inference(instantiation,[status(thm)],[103]) ).
cnf(l152,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(l45,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[9]) ).
cnf(79,plain,
( op(e2,e3) != e1
| ~ sP35 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l17,plain,
( op(e2,e3) != e1
| ~ sP35 ),
inference(instantiation,[status(thm)],[79]) ).
cnf(l144,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(141,plain,
( op(e1,e0) != e1
| ~ sP20 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l133,plain,
( op(e1,e0) != e1
| ~ sP20 ),
inference(instantiation,[status(thm)],[141]) ).
cnf(l67,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(61,plain,
( op(e1,e2) != e3
| ~ sP40 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l132,plain,
( op(e1,e2) != e3
| ~ sP40 ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l145,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(l102,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[9]) ).
cnf(99,plain,
( op(e3,e1) != e2
| ~ sP30 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l134,plain,
( op(e3,e1) != e2
| ~ sP30 ),
inference(instantiation,[status(thm)],[99]) ).
cnf(l186,plain,
op(e3,e1) = e2,
inference(instantiation,[status(thm)],[19]) ).
cnf(l171,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l53,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(l101,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l55,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l240,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(41,plain,
( op(e3,e1) != e2
| ~ sP45 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l106,plain,
( op(e3,e1) != e2
| ~ sP45 ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l22,plain,
op(e2,e3) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(l143,plain,
op(e1,e2) = e3,
inference(instantiation,[status(thm)],[12]) ).
cnf(110,plain,
( op(e0,e1) != e1
| ~ sP28 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l16,plain,
( op(e0,e1) != e1
| ~ sP28 ),
inference(instantiation,[status(thm)],[110]) ).
cnf(l197,plain,
op(e3,e1) = e2,
inference(instantiation,[status(thm)],[19]) ).
cnf(l126,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[7]) ).
cnf(l160,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(145,plain,
( op(e0,e1) != e1
| ~ sP19 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l90,plain,
( op(e0,e1) != e1
| ~ sP19 ),
inference(instantiation,[status(thm)],[145]) ).
cnf(l151,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[7]) ).
cnf(l123,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(l120,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(l187,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(177,plain,
( op(e2,e3) != e1
| ~ sP11 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l68,plain,
( op(e2,e3) != e1
| ~ sP11 ),
inference(instantiation,[status(thm)],[177]) ).
cnf(l176,plain,
op(e2,e3) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(l158,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(l121,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(l237,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l98,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l23,l107,l40,l36,l58,l157,l26,l31,l61,l52,l96,l93,l78,l100,l92,l15,l11,l27,l13,l41,l154,l19,l42,l21,l83,l167,l105,l3,l6,l38,l7,l72,l63,l131,l225,l56,l73,l118,l4,l48,l156,l20,l60,l49,l14,l50,l89,l39,l86,l139,l178,l18,l79,l75,l46,l166,l180,l146,l29,l69,l71,l30,l183,l37,l129,l43,l62,l189,l8,l51,l5,l262,l170,l97,l1,l12,l47,l94,l64,l33,l25,l85,l65,l59,l152,l45,l17,l144,l133,l67,l132,l145,l102,l134,l186,l171,l53,l101,l55,l240,l106,l22,l143,l16,l197,l126,l160,l90,l151,l123,l120,l187,l68,l176,l158,l121,l237,l98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG043+1 : TPTP v9.0.0. Released v2.7.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 02:02:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 5.37/1.06 % SZS status Theorem for theBenchmark
% 5.37/1.06 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------