%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG199+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 09:45:57 AM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 71 ( 70 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 97 ( 45 ~; 36 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 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 ) ),
file('/export/starexec/sandbox/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 ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(517,plain,
op(e0,e0) != e0,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l0,plain,
op(e0,e0) != e0,
inference(instantiation,[status(thm)],[517]) ).
cnf(524,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(l1,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)],[524]) ).
cnf(523,plain,
op(e6,e6) != e6,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l4,plain,
op(e6,e6) != e6,
inference(instantiation,[status(thm)],[523]) ).
cnf(518,plain,
op(e1,e1) != e1,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l2,plain,
op(e1,e1) != e1,
inference(instantiation,[status(thm)],[518]) ).
cnf(521,plain,
op(e4,e4) != e4,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l5,plain,
op(e4,e4) != e4,
inference(instantiation,[status(thm)],[521]) ).
cnf(519,plain,
op(e2,e2) != e2,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l3,plain,
op(e2,e2) != e2,
inference(instantiation,[status(thm)],[519]) ).
cnf(520,plain,
op(e3,e3) != e3,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l6,plain,
op(e3,e3) != e3,
inference(instantiation,[status(thm)],[520]) ).
cnf(522,plain,
op(e5,e5) != e5,
inference(cnf,[status(esa)],[co1_negated]) ).
cnf(l7,plain,
op(e5,e5) != e5,
inference(instantiation,[status(thm)],[522]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l5,l3,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ALG199+1 : TPTP v9.0.0. Released v2.7.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n028.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 02:42:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % launching worker at depth: 4
% 0.12/0.36 % launching worker at depth: 5
% 0.12/0.36 % launching worker at depth: 6
% 0.12/0.36 % launching worker at depth: 1
% 0.12/0.36 % launching worker at depth: 3
% 0.12/0.36 % launching worker at depth: 7
% 0.12/0.36 % launching worker at depth: 2
% 0.12/0.36 % launching worker at depth: 8
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------