%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 09:20:55 AM UTC 2026
% Result : Theorem 12.57s 2.10s
% Output : CNFRefutation 12.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 25 ( 8 ~; 11 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel10_1,axiom,
( q
=> r ) ).
fof(pel10_2,axiom,
( r
=> ( q
& p ) ) ).
fof(pel10_3,axiom,
( p
=> ( r
| q ) ) ).
fof(pel10,conjecture,
( p
<=> q ) ).
fof(negated_conjecture,negated_conjecture,
~ ( p
<=> q ),
inference(negate_conjecture,[status(cth)],[pel10]) ).
cnf(c0,plain,
( r
| ~ q ),
inference(clausification,[status(esa)],[pel10_1]) ).
cnf(c1,plain,
( p
| ~ r ),
inference(clausification,[status(esa)],[pel10_2]) ).
cnf(c2,plain,
( q
| ~ r ),
inference(clausification,[status(esa)],[pel10_2]) ).
cnf(c3,plain,
( r
| q
| ~ p ),
inference(clausification,[status(esa)],[pel10_3]) ).
cnf(c5,plain,
( q
| p ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c6,plain,
( ~ p
| ~ q ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( q
| r
| q ),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(d1,plain,
( q
| q ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
r,
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
p,
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
~ p,
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 26 17:11:01 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.57/2.10 % SZS status Theorem for theBenchmark.p
% 12.57/2.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------