%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN058+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 09:20:59 AM UTC 2026
% Result : Theorem 8.96s 1.86s
% Output : CNFRefutation 8.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 8 ~; 6 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 6 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel28_1,axiom,
! [X0] :
( 'big$up'(X0)
=> ! [X1] : 'big$uq'(X1) ) ).
fof(pel28_2,axiom,
( ! [X0] :
( 'big$ur'(X0)
| 'big$uq'(X0) )
=> ? [X1] :
( 'big$us'(X1)
& 'big$uq'(X1) ) ) ).
fof(pel28_3,axiom,
( ? [X0] : 'big$us'(X0)
=> ! [X1] :
( 'big$uf'(X1)
=> 'big$ug'(X1) ) ) ).
fof(pel28,conjecture,
! [X0] :
( ( 'big$uf'(X0)
& 'big$up'(X0) )
=> 'big$ug'(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'big$uf'(X0)
& 'big$up'(X0) )
=> 'big$ug'(X0) ),
inference(negate_conjecture,[status(cth)],[pel28]) ).
cnf(c0,plain,
( 'big$uq'(X1)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[pel28_1]) ).
cnf(c2,plain,
( 'big$us'(sK3)
| ~ 'big$uq'(sK2) ),
inference(clausification,[status(esa)],[pel28_2]) ).
cnf(c5,plain,
( 'big$ug'(X1)
| ~ 'big$uf'(X1)
| ~ 'big$us'(X0) ),
inference(clausification,[status(esa)],[pel28_3]) ).
cnf(c6,plain,
'big$up'(sK6),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
'big$uf'(sK6),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
~ 'big$ug'(sK6),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$uq'(X0),
inference(resolution,[status(thm)],[c0,c6]) ).
cnf(d1,plain,
'big$us'(sK3),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( 'big$ug'(sK6)
| ~ 'big$us'(X0) ),
inference(resolution,[status(thm)],[c5,c7]) ).
cnf(d3,plain,
~ 'big$us'(X0),
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN058+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n008.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sat Sep 26 17:08:58 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.96/1.86 % SZS status Theorem for theBenchmark.p
% 8.96/1.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------