%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM341+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:11:06 AM UTC 2026
% Result : Theorem 28.72s 4.17s
% Output : CNFRefutation 28.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 21 ( 9 ~; 7 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 33 ( 6 sgn 3 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(minus_entry_point,axiom,
! [X0,X1,X2] :
( sum(X1,X2,X0)
<=> difference(X0,X1,X2) ) ).
fof(add_same_as_subtract,conjecture,
? [X0,X1,X2] :
( sum(X0,X1,X2)
<=> ( difference(X2,X0,X1)
& difference(X2,X1,X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1,X2] :
( sum(X0,X1,X2)
<=> ( difference(X2,X0,X1)
& difference(X2,X1,X0) ) ),
inference(negate_conjecture,[status(cth)],[add_same_as_subtract]) ).
cnf(c299,plain,
( difference(X2,X0,X1)
| ~ sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[minus_entry_point]) ).
cnf(c300,plain,
( ~ difference(X2,X0,X1)
| sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[minus_entry_point]) ).
cnf(c408,plain,
( difference(X2,X0,X1)
| sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c409,plain,
( ~ sum(X2,X1,X0)
| ~ difference(X0,X2,X1)
| ~ difference(X0,X1,X2) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sum(X0,X1,X2)
| sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[c300,c408]) ).
cnf(d1,plain,
difference(X0,X1,X2),
inference(resolution,[status(thm)],[d0,c299]) ).
cnf(d2,plain,
( ~ difference(X0,X2,X1)
| ~ difference(X0,X1,X2) ),
inference(resolution,[status(thm)],[d0,c409]) ).
cnf(d3,plain,
~ difference(X0,X1,X2),
inference(resolution,[status(thm)],[d1,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM341+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n004.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 02:28:37 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.72/4.17 % SZS status Theorem for theBenchmark.p
% 28.72/4.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------