%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG014+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 : n021.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 09:45:42 AM UTC 2025
% Result : Theorem 3.43s 0.76s
% Output : CNFRefutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 88 ( 1 unt; 0 def)
% Number of atoms : 285 ( 200 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 328 ( 131 ~; 149 |; 48 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 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(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 ) ) ),
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(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 ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(179,plain,
( op(e2,e2) != e0
| op(e3,e3) != e0
| op(e0,e0) != e0
| op(e1,e1) != e0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( op(e2,e2) != e0
| op(e3,e3) != e0
| op(e0,e0) != e0
| op(e1,e1) != e0 ),
inference(instantiation,[status(thm)],[179]) ).
cnf(184,plain,
( op(e1,e1) = e0
| sP0
| sP1
| sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l2,plain,
( op(e1,e1) = e0
| sP0
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[184]) ).
cnf(198,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l4,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[198]) ).
cnf(186,plain,
( op(e3,e3) = e0
| sP0
| sP1
| sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
( op(e3,e3) = e0
| sP0
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[186]) ).
cnf(194,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l247,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[194]) ).
cnf(185,plain,
( op(e2,e2) = e0
| sP0
| sP1
| sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l11,plain,
( op(e2,e2) = e0
| sP0
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[185]) ).
cnf(181,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l250,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(instantiation,[status(thm)],[181]) ).
cnf(189,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l15,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[189]) ).
cnf(l17,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[198]) ).
cnf(180,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l6,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(instantiation,[status(thm)],[180]) ).
cnf(l5,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[189]) ).
cnf(l81,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[194]) ).
cnf(192,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l372,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[192]) ).
cnf(196,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l16,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[196]) ).
cnf(l19,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(instantiation,[status(thm)],[180]) ).
cnf(187,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l31,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[187]) ).
cnf(191,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l311,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[191]) ).
cnf(195,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l674,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[195]) ).
cnf(193,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l352,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[193]) ).
cnf(182,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l145,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(instantiation,[status(thm)],[182]) ).
cnf(l3,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[196]) ).
cnf(l627,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[189]) ).
cnf(l65,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(instantiation,[status(thm)],[182]) ).
cnf(l33,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(instantiation,[status(thm)],[180]) ).
cnf(l248,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[192]) ).
cnf(197,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l229,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[197]) ).
cnf(188,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l635,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[188]) ).
cnf(l196,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[197]) ).
cnf(l195,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[198]) ).
cnf(l249,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(instantiation,[status(thm)],[181]) ).
cnf(l123,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[195]) ).
cnf(190,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l215,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[190]) ).
cnf(l25,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(instantiation,[status(thm)],[182]) ).
cnf(l106,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[188]) ).
cnf(l267,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[194]) ).
cnf(l8,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[197]) ).
cnf(183,plain,
( op(e0,e0) = e0
| sP0
| sP1
| sP2 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l9,plain,
( op(e0,e0) = e0
| sP0
| sP1
| sP2 ),
inference(instantiation,[status(thm)],[183]) ).
cnf(l36,plain,
( op(e0,e0) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[198]) ).
cnf(l137,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(instantiation,[status(thm)],[181]) ).
cnf(l301,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[195]) ).
cnf(l108,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[187]) ).
cnf(l669,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[192]) ).
cnf(l51,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[187]) ).
cnf(l626,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[190]) ).
cnf(l53,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[191]) ).
cnf(l216,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[188]) ).
cnf(l59,plain,
( op(e2,e2) != e2
| op(e3,e3) != e2
| op(e0,e0) != e2
| op(e1,e1) != e2 ),
inference(instantiation,[status(thm)],[181]) ).
cnf(l47,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[190]) ).
cnf(l57,plain,
( op(e2,e2) != e1
| op(e3,e3) != e1
| op(e0,e0) != e1
| op(e1,e1) != e1 ),
inference(instantiation,[status(thm)],[180]) ).
cnf(l662,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[193]) ).
cnf(l116,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[197]) ).
cnf(l153,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[194]) ).
cnf(l275,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[191]) ).
cnf(l37,plain,
( op(e3,e3) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[187]) ).
cnf(l657,plain,
( op(e3,e3) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[191]) ).
cnf(l228,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[196]) ).
cnf(l187,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[193]) ).
cnf(l111,plain,
( op(e2,e2) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[196]) ).
cnf(l118,plain,
( op(e3,e3) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[195]) ).
cnf(l724,plain,
( op(e1,e1) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[193]) ).
cnf(l45,plain,
( op(e2,e2) != e3
| op(e3,e3) != e3
| op(e0,e0) != e3
| op(e1,e1) != e3 ),
inference(instantiation,[status(thm)],[182]) ).
cnf(l130,plain,
( op(e0,e0) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[190]) ).
cnf(l115,plain,
( op(e2,e2) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[188]) ).
cnf(l146,plain,
( op(e2,e2) = e2
| ~ sP1 ),
inference(instantiation,[status(thm)],[192]) ).
cnf(l588,plain,
( op(e1,e1) = e3
| ~ sP2 ),
inference(instantiation,[status(thm)],[189]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l4,l1,l247,l11,l250,l15,l17,l6,l5,l81,l372,l16,l19,l31,l311,l674,l352,l145,l3,l627,l65,l33,l248,l229,l635,l196,l195,l249,l123,l215,l25,l106,l267,l8,l9,l36,l137,l301,l108,l669,l51,l626,l53,l216,l59,l47,l57,l662,l116,l153,l275,l37,l657,l228,l187,l111,l118,l724,l45,l130,l115,l146,l588]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG014+1 : TPTP v9.0.0. Released v2.7.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 01:56:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 3.43/0.76 % SZS status Theorem for theBenchmark
% 3.43/0.76 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------