%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM343+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 : Fri Jul 25 12:27:59 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 16 ( 1 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 15 ( 7 ~; 2 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 1 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sum_something_n0_samething,plain,
? [X] :
( ( less(nn1,X)
& less(X,n1) )
=> sum(n21,X,n21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_something_n0_samething) ).
fof(sum_something_n0_samething_negated,plain,
~ ? [X] :
( ( less(nn1,X)
& less(X,n1) )
=> sum(n21,X,n21) ),
inference(negate_conjecture,[status(cth)],[sum_something_n0_samething]) ).
cnf(406,plain,
less(nn1,X0),
inference(cnf,[status(esa)],[sum_something_n0_samething_negated]) ).
cnf(l0,plain,
less(nn1,nn1),
inference(instantiation,[status(thm)],[406]) ).
fof(less_property,plain,
! [X,Y] :
( less(X,Y)
<=> ( ~ less(Y,X)
& Y != X ) ),
file('Axioms/NUM005+1.ax',less_property) ).
cnf(283,plain,
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(cnf,[status(esa)],[less_property]) ).
cnf(l1,plain,
( ~ less(nn1,nn1)
| ~ less(nn1,nn1) ),
inference(instantiation,[status(thm)],[283]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM343+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 : Mon Jul 21 11:38:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: % SZS status Theorem for theBenchmark
% 0.12/0.35 8% SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------