%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM341+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 : 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 : Fri Jul 25 12:27:58 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 1 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 31 ( 14 ~; 12 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 31 ( 0 sgn 3 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(add_same_as_subtract,plain,
? [X,Y,Z] :
( sum(X,Y,Z)
<=> ( difference(Z,Y,X)
& difference(Z,X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_same_as_subtract) ).
fof(add_same_as_subtract_negated,plain,
~ ? [X,Y,Z] :
( sum(X,Y,Z)
<=> ( difference(Z,Y,X)
& difference(Z,X,Y) ) ),
inference(negate_conjecture,[status(cth)],[add_same_as_subtract]) ).
cnf(406,plain,
( sum(X0,X1,X2)
| difference(X2,X1,X0) ),
inference(cnf,[status(esa)],[add_same_as_subtract_negated]) ).
cnf(l0,plain,
( sum(X1_4,X1_4,X0_4)
| difference(X0_4,X1_4,X1_4) ),
inference(instantiation,[status(thm)],[406]) ).
fof(minus_entry_point,plain,
! [X,Y,Z] :
( sum(Y,Z,X)
<=> difference(X,Y,Z) ),
file('Axioms/NUM005+2.ax',minus_entry_point) ).
cnf(299,plain,
( ~ sum(X0,X1,X2)
| difference(X2,X0,X1) ),
inference(cnf,[status(esa)],[minus_entry_point]) ).
cnf(l1,plain,
( ~ sum(X1_4,X1_4,X0_4)
| difference(X0_4,X1_4,X1_4) ),
inference(instantiation,[status(thm)],[299]) ).
cnf(408,plain,
( ~ sum(X0,X1,X2)
| ~ difference(X2,X0,X1)
| ~ difference(X2,X1,X0) ),
inference(cnf,[status(esa)],[add_same_as_subtract_negated]) ).
cnf(l2,plain,
( ~ sum(X1_4,X1_4,X0_4)
| ~ difference(X0_4,X1_4,X1_4)
| ~ difference(X0_4,X1_4,X1_4) ),
inference(instantiation,[status(thm)],[408]) ).
cnf(l3,plain,
( ~ sum(X1_4,X1_4,X0_4)
| ~ difference(X0_4,X1_4,X1_4)
| ~ difference(X0_4,X1_4,X1_4) ),
inference(instantiation,[status(thm)],[408]) ).
cnf(300,plain,
( ~ difference(X0,X1,X2)
| sum(X1,X2,X0) ),
inference(cnf,[status(esa)],[minus_entry_point]) ).
cnf(l4,plain,
( ~ difference(X0_4,X1_4,X1_4)
| sum(X1_4,X1_4,X0_4) ),
inference(instantiation,[status(thm)],[300]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM341+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 11:38:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------