%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG194+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 : n029.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 09:45:56 AM UTC 2025
% Result : Theorem 17.93s 2.60s
% Output : CNFRefutation 17.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 91 ( 1 unt; 0 def)
% Number of atoms : 283 ( 204 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 355 ( 163 ~; 166 |; 26 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,plain,
( ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
| ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
| ( ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(co1_negated,plain,
~ ( ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6 )
| ( op(e0,e0) = e0
& op(e1,e1) = e1
& op(e2,e2) = e2
& op(e3,e3) = e3
& op(e4,e4) = e4
& op(e5,e5) = e5
& op(e6,e6) = e6 )
| ( ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(511,plain,
( op(e2,e2) = e2
| op(e5,e5) = e5
| op(e1,e1) = e1
| op(e0,e0) = e0
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e6,e6) = e6 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
( op(e2,e2) = e2
| op(e5,e5) = e5
| op(e1,e1) = e1
| op(e0,e0) = e0
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e6,e6) = e6 ),
inference(instantiation,[status(thm)],[511]) ).
cnf(512,plain,
( op(e2,e2) != e2
| op(e5,e5) != e5
| op(e1,e1) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e6,e6) != e6 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l34,plain,
( op(e2,e2) != e2
| op(e5,e5) != e5
| op(e1,e1) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e6,e6) != e6 ),
inference(instantiation,[status(thm)],[512]) ).
cnf(515,plain,
( op(e2,e2) != e2
| sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l3,plain,
( op(e2,e2) != e2
| sP0 ),
inference(instantiation,[status(thm)],[515]) ).
cnf(523,plain,
( op(e3,e3) = e3
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l54,plain,
( op(e3,e3) = e3
| ~ sP0 ),
inference(instantiation,[status(thm)],[523]) ).
cnf(l4,plain,
( op(e2,e2) != e2
| op(e5,e5) != e5
| op(e1,e1) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e6,e6) != e6 ),
inference(instantiation,[status(thm)],[512]) ).
cnf(520,plain,
( op(e6,e6) = e6
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l85,plain,
( op(e6,e6) = e6
| ~ sP0 ),
inference(instantiation,[status(thm)],[520]) ).
cnf(517,plain,
( op(e4,e4) != e4
| sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l431,plain,
( op(e4,e4) != e4
| sP0 ),
inference(instantiation,[status(thm)],[517]) ).
cnf(513,plain,
( op(e0,e0) != e0
| sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l11,plain,
( op(e0,e0) != e0
| sP0 ),
inference(instantiation,[status(thm)],[513]) ).
cnf(l134,plain,
( op(e3,e3) = e3
| ~ sP0 ),
inference(instantiation,[status(thm)],[523]) ).
cnf(522,plain,
( op(e4,e4) = e4
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l101,plain,
( op(e4,e4) = e4
| ~ sP0 ),
inference(instantiation,[status(thm)],[522]) ).
cnf(l21,plain,
( op(e3,e3) = e3
| ~ sP0 ),
inference(instantiation,[status(thm)],[523]) ).
cnf(l62,plain,
( op(e2,e2) != e2
| op(e5,e5) != e5
| op(e1,e1) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e6,e6) != e6 ),
inference(instantiation,[status(thm)],[512]) ).
cnf(525,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l122,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[525]) ).
cnf(518,plain,
( op(e5,e5) != e5
| sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l59,plain,
( op(e5,e5) != e5
| sP0 ),
inference(instantiation,[status(thm)],[518]) ).
cnf(l2,plain,
( op(e2,e2) != e2
| op(e5,e5) != e5
| op(e1,e1) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e6,e6) != e6 ),
inference(instantiation,[status(thm)],[512]) ).
cnf(l653,plain,
( op(e4,e4) = e4
| ~ sP0 ),
inference(instantiation,[status(thm)],[522]) ).
cnf(526,plain,
( op(e0,e0) = e0
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l28,plain,
( op(e0,e0) = e0
| ~ sP0 ),
inference(instantiation,[status(thm)],[526]) ).
cnf(l646,plain,
( op(e6,e6) = e6
| ~ sP0 ),
inference(instantiation,[status(thm)],[520]) ).
cnf(l12,plain,
( op(e6,e6) = e6
| ~ sP0 ),
inference(instantiation,[status(thm)],[520]) ).
cnf(l443,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[525]) ).
cnf(524,plain,
( op(e2,e2) = e2
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l172,plain,
( op(e2,e2) = e2
| ~ sP0 ),
inference(instantiation,[status(thm)],[524]) ).
cnf(521,plain,
( op(e5,e5) = e5
| ~ sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l649,plain,
( op(e5,e5) = e5
| ~ sP0 ),
inference(instantiation,[status(thm)],[521]) ).
cnf(l97,plain,
( op(e4,e4) = e4
| ~ sP0 ),
inference(instantiation,[status(thm)],[522]) ).
cnf(l86,plain,
( op(e0,e0) = e0
| ~ sP0 ),
inference(instantiation,[status(thm)],[526]) ).
cnf(519,plain,
( op(e6,e6) != e6
| sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l140,plain,
( op(e6,e6) != e6
| sP0 ),
inference(instantiation,[status(thm)],[519]) ).
cnf(514,plain,
( op(e1,e1) != e1
| sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l1,plain,
( op(e1,e1) != e1
| sP0 ),
inference(instantiation,[status(thm)],[514]) ).
cnf(l98,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[525]) ).
cnf(l104,plain,
( op(e0,e0) = e0
| ~ sP0 ),
inference(instantiation,[status(thm)],[526]) ).
cnf(l633,plain,
( op(e2,e2) != e2
| op(e5,e5) != e5
| op(e1,e1) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e6,e6) != e6 ),
inference(instantiation,[status(thm)],[512]) ).
cnf(516,plain,
( op(e3,e3) != e3
| sP0 ),
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l234,plain,
( op(e3,e3) != e3
| sP0 ),
inference(instantiation,[status(thm)],[516]) ).
cnf(l725,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[525]) ).
cnf(l647,plain,
( op(e0,e0) = e0
| ~ sP0 ),
inference(instantiation,[status(thm)],[526]) ).
cnf(l724,plain,
( op(e3,e3) = e3
| ~ sP0 ),
inference(instantiation,[status(thm)],[523]) ).
cnf(l704,plain,
( op(e4,e4) = e4
| ~ sP0 ),
inference(instantiation,[status(thm)],[522]) ).
cnf(l5,plain,
( op(e5,e5) = e5
| ~ sP0 ),
inference(instantiation,[status(thm)],[521]) ).
cnf(l114,plain,
( op(e2,e2) = e2
| ~ sP0 ),
inference(instantiation,[status(thm)],[524]) ).
cnf(l546,plain,
( op(e4,e4) != e4
| sP0 ),
inference(instantiation,[status(thm)],[517]) ).
cnf(l6,plain,
( op(e2,e2) != e2
| op(e5,e5) != e5
| op(e1,e1) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e6,e6) != e6 ),
inference(instantiation,[status(thm)],[512]) ).
cnf(l26,plain,
( op(e5,e5) = e5
| ~ sP0 ),
inference(instantiation,[status(thm)],[521]) ).
cnf(l142,plain,
( op(e3,e3) != e3
| sP0 ),
inference(instantiation,[status(thm)],[516]) ).
cnf(l706,plain,
( op(e5,e5) = e5
| ~ sP0 ),
inference(instantiation,[status(thm)],[521]) ).
cnf(l747,plain,
( op(e2,e2) = e2
| ~ sP0 ),
inference(instantiation,[status(thm)],[524]) ).
cnf(l650,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[525]) ).
cnf(l184,plain,
( op(e1,e1) = e1
| ~ sP0 ),
inference(instantiation,[status(thm)],[525]) ).
cnf(l745,plain,
( op(e4,e4) = e4
| ~ sP0 ),
inference(instantiation,[status(thm)],[522]) ).
cnf(l188,plain,
( op(e2,e2) != e2
| op(e5,e5) != e5
| op(e1,e1) != e1
| op(e0,e0) != e0
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e6,e6) != e6 ),
inference(instantiation,[status(thm)],[512]) ).
cnf(l82,plain,
( op(e2,e2) = e2
| ~ sP0 ),
inference(instantiation,[status(thm)],[524]) ).
cnf(l183,plain,
( op(e6,e6) != e6
| sP0 ),
inference(instantiation,[status(thm)],[519]) ).
cnf(l318,plain,
( op(e3,e3) != e3
| sP0 ),
inference(instantiation,[status(thm)],[516]) ).
cnf(l430,plain,
( op(e4,e4) != e4
| sP0 ),
inference(instantiation,[status(thm)],[517]) ).
cnf(l223,plain,
( op(e6,e6) != e6
| sP0 ),
inference(instantiation,[status(thm)],[519]) ).
cnf(l228,plain,
( op(e6,e6) != e6
| sP0 ),
inference(instantiation,[status(thm)],[519]) ).
cnf(l598,plain,
( op(e4,e4) != e4
| sP0 ),
inference(instantiation,[status(thm)],[517]) ).
cnf(l447,plain,
( op(e4,e4) != e4
| sP0 ),
inference(instantiation,[status(thm)],[517]) ).
cnf(l826,plain,
( op(e4,e4) = e4
| ~ sP0 ),
inference(instantiation,[status(thm)],[522]) ).
cnf(l832,plain,
( op(e6,e6) = e6
| ~ sP0 ),
inference(instantiation,[status(thm)],[520]) ).
cnf(l102,plain,
( op(e5,e5) = e5
| ~ sP0 ),
inference(instantiation,[status(thm)],[521]) ).
cnf(l7,plain,
( op(e0,e0) = e0
| ~ sP0 ),
inference(instantiation,[status(thm)],[526]) ).
cnf(l198,plain,
( op(e0,e0) = e0
| ~ sP0 ),
inference(instantiation,[status(thm)],[526]) ).
cnf(l202,plain,
( op(e2,e2) = e2
| ~ sP0 ),
inference(instantiation,[status(thm)],[524]) ).
cnf(l165,plain,
( op(e6,e6) = e6
| ~ sP0 ),
inference(instantiation,[status(thm)],[520]) ).
cnf(l853,plain,
( op(e3,e3) = e3
| ~ sP0 ),
inference(instantiation,[status(thm)],[523]) ).
cnf(l180,plain,
( op(e3,e3) != e3
| sP0 ),
inference(instantiation,[status(thm)],[516]) ).
cnf(l307,plain,
( op(e6,e6) != e6
| sP0 ),
inference(instantiation,[status(thm)],[519]) ).
cnf(l15,plain,
( op(e6,e6) = e6
| ~ sP0 ),
inference(instantiation,[status(thm)],[520]) ).
cnf(l186,plain,
( op(e3,e3) != e3
| sP0 ),
inference(instantiation,[status(thm)],[516]) ).
cnf(l164,plain,
( op(e5,e5) = e5
| ~ sP0 ),
inference(instantiation,[status(thm)],[521]) ).
cnf(l9,plain,
( op(e2,e2) = e2
| ~ sP0 ),
inference(instantiation,[status(thm)],[524]) ).
cnf(l105,plain,
( op(e6,e6) != e6
| sP0 ),
inference(instantiation,[status(thm)],[519]) ).
cnf(l212,plain,
( op(e3,e3) != e3
| sP0 ),
inference(instantiation,[status(thm)],[516]) ).
cnf(l50,plain,
( op(e3,e3) = e3
| ~ sP0 ),
inference(instantiation,[status(thm)],[523]) ).
cnf(l671,plain,
( op(e4,e4) != e4
| sP0 ),
inference(instantiation,[status(thm)],[517]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l34,l3,l54,l4,l85,l431,l11,l134,l101,l21,l62,l122,l59,l2,l653,l28,l646,l12,l443,l172,l649,l97,l86,l140,l1,l98,l104,l633,l234,l725,l647,l724,l704,l5,l114,l546,l6,l26,l142,l706,l747,l650,l184,l745,l188,l82,l183,l318,l430,l223,l228,l598,l447,l826,l832,l102,l7,l198,l202,l165,l853,l180,l307,l15,l186,l164,l9,l105,l212,l50,l671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG194+1 : TPTP v9.0.0. Released v2.7.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 02:41:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.19/0.36 % launching worker at depth: 1
% 0.19/0.36 % launching worker at depth: 3
% 0.19/0.36 % launching worker at depth: 2
% 0.19/0.36 % launching worker at depth: 4
% 0.19/0.36 % launching worker at depth: 5
% 0.19/0.36 % launching worker at depth: 6
% 0.19/0.36 % launching worker at depth: 8
% 0.19/0.36 % launching worker at depth: 7
% 17.93/2.60 % SZS status Theorem for theBenchmark
% 17.93/2.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------