%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG044+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 277.75s 35.12s
% Output : CNFRefutation 277.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 213 ( 103 unt; 0 def)
% Number of atoms : 895 ( 686 equ)
% Maximal formula atoms : 220 ( 4 avg)
% Number of connectives : 916 ( 234 ~; 524 |; 158 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 62 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 54 ( 52 usr; 53 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/sandbox/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(24,plain,
( op(e3,unit) != e3
| op(e0,unit) != e0
| op(e1,unit) != e1
| op(e2,unit) != e2
| op(unit,e3) != e3
| op(unit,e0) != e0
| op(unit,e1) != e1
| op(unit,e2) != e2
| op(e1,e1) = e0
| sP15
| sP21
| sP32
| sP38
| sP43
| sP49
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP9
| sP7
| sP24
| sP8
| sP10
| sP11
| sP12
| sP13
| sP14
| sP16
| sP17
| sP18
| sP19
| sP25
| sP26
| sP20
| sP23
| sP27
| sP22
| sP28
| sP29
| sP30
| sP31
| sP33
| sP34
| sP35
| sP36
| sP37
| sP39
| sP40
| sP41
| sP44
| sP42
| sP45
| sP46
| sP47
| sP50
| sP48
| sP51 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( op(e3,unit) != e3
| op(e0,unit) != e0
| op(e1,unit) != e1
| op(e2,unit) != e2
| op(unit,e3) != e3
| op(unit,e0) != e0
| op(unit,e1) != e1
| op(unit,e2) != e2
| op(e1,e1) = e0
| sP15
| sP21
| sP32
| sP38
| sP43
| sP49
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP9
| sP7
| sP24
| sP8
| sP10
| sP11
| sP12
| sP13
| sP14
| sP16
| sP17
| sP18
| sP19
| sP25
| sP26
| sP20
| sP23
| sP27
| sP22
| sP28
| sP29
| sP30
| sP31
| sP33
| sP34
| sP35
| sP36
| sP37
| sP39
| sP40
| sP41
| sP44
| sP42
| sP45
| sP46
| sP47
| sP50
| sP48
| sP51 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(37,plain,
( op(e1,e3) != e2
| ~ sP49 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l191,plain,
( op(e1,e3) != e2
| ~ sP49 ),
inference(instantiation,[status(thm)],[37]) ).
cnf(217,plain,
( op(e0,e1) != e1
| ~ sP4 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l15,plain,
( op(e0,e1) != e1
| ~ sP4 ),
inference(instantiation,[status(thm)],[217]) ).
cnf(168,plain,
( op(e3,e1) != e2
| ~ sP16 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l42,plain,
( op(e3,e1) != e2
| ~ sP16 ),
inference(instantiation,[status(thm)],[168]) ).
cnf(89,plain,
( op(e2,e1) != e0
| ~ sP36 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l73,plain,
( op(e2,e1) != e0
| ~ sP36 ),
inference(instantiation,[status(thm)],[89]) ).
cnf(74,plain,
( op(e2,e0) != e2
| ~ sP40 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l44,plain,
( op(e2,e0) != e2
| ~ sP40 ),
inference(instantiation,[status(thm)],[74]) ).
cnf(103,plain,
( op(e1,e3) != e2
| ~ sP32 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l180,plain,
( op(e1,e3) != e2
| ~ sP32 ),
inference(instantiation,[status(thm)],[103]) ).
cnf(192,plain,
( op(e1,e3) != e2
| ~ sP10 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l21,plain,
( op(e1,e3) != e2
| ~ sP10 ),
inference(instantiation,[status(thm)],[192]) ).
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) = e3
& op(e1,e2) = e0
& op(e1,e3) = e2
& op(e2,e0) = e2
& op(e2,e1) = e0
& op(e2,e2) = e3
& op(e2,e3) = e1
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e1
& op(e3,e3) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(19,plain,
op(e3,e1) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l155,plain,
op(e3,e1) = e2,
inference(instantiation,[status(thm)],[19]) ).
cnf(97,plain,
( op(e1,e1) != e3
| ~ sP34 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l261,plain,
( op(e1,e1) != e3
| ~ sP34 ),
inference(instantiation,[status(thm)],[97]) ).
cnf(85,plain,
( op(e1,e2) != e0
| ~ sP37 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l37,plain,
( op(e1,e2) != e0
| ~ sP37 ),
inference(instantiation,[status(thm)],[85]) ).
cnf(186,plain,
( op(e2,e1) != e0
| ~ sP12 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l196,plain,
( op(e2,e1) != e0
| ~ sP12 ),
inference(instantiation,[status(thm)],[186]) ).
cnf(205,plain,
( op(e1,e0) != e1
| ~ sP7 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l325,plain,
( op(e1,e0) != e1
| ~ sP7 ),
inference(instantiation,[status(thm)],[205]) ).
cnf(51,plain,
( op(e3,e3) != e0
| ~ sP45 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l20,plain,
( op(e3,e3) != e0
| ~ sP45 ),
inference(instantiation,[status(thm)],[51]) ).
cnf(207,plain,
( op(e0,e3) != e3
| ~ sP6 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
( op(e0,e3) != e3
| ~ sP6 ),
inference(instantiation,[status(thm)],[207]) ).
cnf(99,plain,
( op(e3,e1) != e2
| ~ sP33 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l76,plain,
( op(e3,e1) != e2
| ~ sP33 ),
inference(instantiation,[status(thm)],[99]) ).
cnf(171,plain,
( op(e3,e0) != e3
| ~ sP15 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l259,plain,
( op(e3,e0) != e3
| ~ sP15 ),
inference(instantiation,[status(thm)],[171]) ).
cnf(177,plain,
( op(e2,e3) != e1
| ~ sP14 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l268,plain,
( op(e2,e3) != e1
| ~ sP14 ),
inference(instantiation,[status(thm)],[177]) ).
cnf(110,plain,
( op(e0,e1) != e1
| ~ sP31 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l220,plain,
( op(e0,e1) != e1
| ~ sP31 ),
inference(instantiation,[status(thm)],[110]) ).
cnf(11,plain,
op(e1,e1) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l265,plain,
op(e1,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(132,plain,
( op(e2,e0) != e2
| ~ sP25 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l80,plain,
( op(e2,e0) != e2
| ~ sP25 ),
inference(instantiation,[status(thm)],[132]) ).
cnf(188,plain,
( op(e2,e0) != e2
| ~ sP11 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l146,plain,
( op(e2,e0) != e2
| ~ sP11 ),
inference(instantiation,[status(thm)],[188]) ).
cnf(12,plain,
op(e1,e2) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l383,plain,
op(e1,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(114,plain,
( op(e1,e0) != e1
| ~ sP30 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l38,plain,
( op(e1,e0) != e1
| ~ sP30 ),
inference(instantiation,[status(thm)],[114]) ).
cnf(34,plain,
( op(e3,e0) != e3
| ~ sP50 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l262,plain,
( op(e3,e0) != e3
| ~ sP50 ),
inference(instantiation,[status(thm)],[34]) ).
cnf(48,plain,
( op(e3,e2) != e1
| ~ sP46 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l284,plain,
( op(e3,e2) != e1
| ~ sP46 ),
inference(instantiation,[status(thm)],[48]) ).
cnf(17,plain,
op(e2,e3) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l317,plain,
op(e2,e3) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(229,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l46,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[229]) ).
cnf(9,plain,
op(e0,e3) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l437,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[9]) ).
cnf(18,plain,
op(e3,e0) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l283,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(13,plain,
op(e1,e3) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l455,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(41,plain,
( op(e3,e1) != e2
| ~ sP48 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l115,plain,
( op(e3,e1) != e2
| ~ sP48 ),
inference(instantiation,[status(thm)],[41]) ).
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(233,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l22,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[233]) ).
cnf(223,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l36,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[223]) ).
cnf(44,plain,
( op(e2,e3) != e1
| ~ sP47 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l41,plain,
( op(e2,e3) != e1
| ~ sP47 ),
inference(instantiation,[status(thm)],[44]) ).
cnf(14,plain,
op(e2,e0) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l337,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l127,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(212,plain,
( op(e0,e2) != e2
| ~ sP5 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l4,plain,
( op(e0,e2) != e2
| ~ sP5 ),
inference(instantiation,[status(thm)],[212]) ).
cnf(75,plain,
( op(e3,e2) != e1
| ~ sP39 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l52,plain,
( op(e3,e2) != e1
| ~ sP39 ),
inference(instantiation,[status(thm)],[75]) ).
cnf(20,plain,
op(e3,e2) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l404,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l333,plain,
op(e2,e3) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(79,plain,
( op(e2,e3) != e1
| ~ sP38 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l64,plain,
( op(e2,e3) != e1
| ~ sP38 ),
inference(instantiation,[status(thm)],[79]) ).
cnf(l390,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(123,plain,
( op(e3,e0) != e3
| ~ sP27 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l275,plain,
( op(e3,e0) != e3
| ~ sP27 ),
inference(instantiation,[status(thm)],[123]) ).
cnf(8,plain,
op(e0,e2) = e2,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l258,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(55,plain,
( op(e3,e3) != e0
| ~ sP44 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l43,plain,
( op(e3,e3) != e0
| ~ sP44 ),
inference(instantiation,[status(thm)],[55]) ).
cnf(64,plain,
( op(e2,e2) != e3
| ~ sP42 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l31,plain,
( op(e2,e2) != e3
| ~ sP42 ),
inference(instantiation,[status(thm)],[64]) ).
cnf(l277,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(l10,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[9]) ).
cnf(93,plain,
( op(e1,e1) != e3
| ~ sP35 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l188,plain,
( op(e1,e1) != e3
| ~ sP35 ),
inference(instantiation,[status(thm)],[93]) ).
cnf(30,plain,
( op(e0,e3) != e3
| ~ sP51 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l61,plain,
( op(e0,e3) != e3
| ~ sP51 ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l182,plain,
op(e2,e3) = e1,
inference(instantiation,[status(thm)],[17]) ).
cnf(199,plain,
( op(e1,e1) != e3
| ~ sP8 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l90,plain,
( op(e1,e1) != e3
| ~ sP8 ),
inference(instantiation,[status(thm)],[199]) ).
fof(ax3,plain,
unit = e0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(22,plain,
unit = e0,
inference(cnf,[status(esa)],[ax3]) ).
cnf(l491,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(179,plain,
( op(e2,e2) != e3
| ~ sP13 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l11,plain,
( op(e2,e2) != e3
| ~ sP13 ),
inference(instantiation,[status(thm)],[179]) ).
cnf(16,plain,
op(e2,e2) = e3,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l17,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[16]) ).
cnf(158,plain,
( unit != e0
| ~ sP19 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l100,plain,
( unit != e0
| ~ sP19 ),
inference(instantiation,[status(thm)],[158]) ).
cnf(l111,plain,
op(e1,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
op(e1,e0) = e1,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l505,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(162,plain,
( op(e3,e3) != e0
| ~ sP18 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l235,plain,
( op(e3,e3) != e0
| ~ sP18 ),
inference(instantiation,[status(thm)],[162]) ).
cnf(l67,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[9]) ).
fof(ax1,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(2,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l1097,plain,
e0 != e3,
inference(instantiation,[status(thm)],[2]) ).
cnf(136,plain,
( op(e0,e2) != e2
| ~ sP24 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l3,plain,
( op(e0,e2) != e2
| ~ sP24 ),
inference(instantiation,[status(thm)],[136]) ).
cnf(150,plain,
( op(e0,e0) != e0
| ~ sP21 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l240,plain,
( op(e0,e0) != e0
| ~ sP21 ),
inference(instantiation,[status(thm)],[150]) ).
cnf(l421,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[7]) ).
cnf(l564,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(127,plain,
( op(e0,e3) != e3
| ~ sP26 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l7,plain,
( op(e0,e3) != e3
| ~ sP26 ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l145,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(154,plain,
( op(e0,e0) != e0
| ~ sP20 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l253,plain,
( op(e0,e0) != e0
| ~ sP20 ),
inference(instantiation,[status(thm)],[154]) ).
cnf(21,plain,
op(e3,e3) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l406,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l273,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(145,plain,
( op(e0,e1) != e1
| ~ sP22 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l204,plain,
( op(e0,e1) != e1
| ~ sP22 ),
inference(instantiation,[status(thm)],[145]) ).
cnf(l231,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[7]) ).
cnf(l93,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(70,plain,
( op(e0,e2) != e2
| ~ sP41 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l241,plain,
( op(e0,e2) != e2
| ~ sP41 ),
inference(instantiation,[status(thm)],[70]) ).
cnf(l122,plain,
op(e0,e3) = e3,
inference(instantiation,[status(thm)],[9]) ).
cnf(l2436,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[7]) ).
cnf(l81,plain,
op(e3,e1) = e2,
inference(instantiation,[status(thm)],[19]) ).
cnf(l669,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l318,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(6,plain,
op(e0,e0) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l356,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(l263,plain,
op(e3,e0) = e3,
inference(instantiation,[status(thm)],[18]) ).
cnf(l802,plain,
op(e2,e0) = e2,
inference(instantiation,[status(thm)],[14]) ).
cnf(l858,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(198,plain,
( op(e1,e2) != e0
| ~ sP9 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l40,plain,
( op(e1,e2) != e0
| ~ sP9 ),
inference(instantiation,[status(thm)],[198]) ).
cnf(l351,plain,
op(e1,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(15,plain,
op(e2,e1) = e0,
inference(cnf,[status(esa)],[ax2]) ).
cnf(l355,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l2566,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l269,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(116,plain,
( op(e2,e1) != e0
| ~ sP29 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l124,plain,
( op(e2,e1) != e0
| ~ sP29 ),
inference(instantiation,[status(thm)],[116]) ).
cnf(l1333,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[7]) ).
cnf(60,plain,
( op(e2,e2) != e3
| ~ sP43 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l78,plain,
( op(e2,e2) != e3
| ~ sP43 ),
inference(instantiation,[status(thm)],[60]) ).
cnf(l272,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(l3022,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(141,plain,
( op(e1,e0) != e1
| ~ sP23 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l79,plain,
( op(e1,e0) != e1
| ~ sP23 ),
inference(instantiation,[status(thm)],[141]) ).
cnf(l181,plain,
op(e1,e3) = e2,
inference(instantiation,[status(thm)],[13]) ).
cnf(l1154,plain,
op(e1,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l559,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(l70,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(120,plain,
( op(e1,e2) != e0
| ~ sP28 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l26,plain,
( op(e1,e2) != e0
| ~ sP28 ),
inference(instantiation,[status(thm)],[120]) ).
cnf(l108,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(l121,plain,
op(e1,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l1210,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l173,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(165,plain,
( op(e3,e2) != e1
| ~ sP17 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l69,plain,
( op(e3,e2) != e1
| ~ sP17 ),
inference(instantiation,[status(thm)],[165]) ).
cnf(l279,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l2567,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l84,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(l2586,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(l576,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l274,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[16]) ).
cnf(l397,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l257,plain,
op(e3,e2) = e1,
inference(instantiation,[status(thm)],[20]) ).
cnf(l349,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l1520,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(l6,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(l252,plain,
op(e0,e2) = e2,
inference(instantiation,[status(thm)],[8]) ).
cnf(222,plain,
( op(e0,e0) != e0
| ~ sP3 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l25,plain,
( op(e0,e0) != e0
| ~ sP3 ),
inference(instantiation,[status(thm)],[222]) ).
cnf(4,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l1755,plain,
e1 != e3,
inference(instantiation,[status(thm)],[4]) ).
cnf(l4241,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l4257,plain,
op(e3,e3) = e0,
inference(instantiation,[status(thm)],[21]) ).
cnf(l328,plain,
op(e3,e1) = e2,
inference(instantiation,[status(thm)],[19]) ).
cnf(l416,plain,
op(e1,e2) = e0,
inference(instantiation,[status(thm)],[12]) ).
cnf(l1839,plain,
op(e1,e0) = e1,
inference(instantiation,[status(thm)],[10]) ).
cnf(l2653,plain,
op(e0,e1) = e1,
inference(instantiation,[status(thm)],[7]) ).
cnf(l87,plain,
op(e0,e0) = e0,
inference(instantiation,[status(thm)],[6]) ).
cnf(l3379,plain,
unit = e0,
inference(instantiation,[status(thm)],[22]) ).
cnf(l941,plain,
op(e1,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l403,plain,
op(e2,e2) = e3,
inference(instantiation,[status(thm)],[16]) ).
cnf(l280,plain,
op(e2,e1) = e0,
inference(instantiation,[status(thm)],[15]) ).
cnf(5,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax1]) ).
cnf(l945,plain,
e2 != e3,
inference(instantiation,[status(thm)],[5]) ).
cnf(l2952,plain,
op(e1,e1) = e3,
inference(instantiation,[status(thm)],[11]) ).
cnf(l647,plain,
e0 != e3,
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l191,l15,l42,l73,l44,l180,l21,l155,l261,l37,l196,l325,l20,l1,l76,l259,l268,l220,l265,l80,l146,l383,l38,l262,l284,l317,l46,l437,l283,l455,l115,l225,l22,l36,l41,l337,l127,l4,l52,l404,l333,l64,l390,l275,l258,l43,l31,l277,l10,l188,l61,l182,l90,l491,l11,l17,l100,l111,l505,l235,l67,l1097,l3,l240,l421,l564,l7,l145,l253,l406,l273,l204,l231,l93,l241,l122,l2436,l81,l669,l318,l356,l263,l802,l858,l40,l351,l355,l2566,l269,l124,l1333,l78,l272,l3022,l79,l181,l1154,l559,l70,l26,l108,l121,l1210,l173,l69,l279,l2567,l84,l2586,l576,l274,l397,l257,l349,l1520,l6,l252,l25,l1755,l4241,l4257,l328,l416,l1839,l2653,l87,l3379,l941,l403,l280,l945,l2952,l647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG044+1 : TPTP v9.0.0. Released v2.7.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun Jul 20 02:03:19 EDT 2025
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 10.89/1.70 % launching worker at depth: 11
% 277.75/35.12 % SZS status Theorem for theBenchmark
% 277.75/35.12 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------