%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN057+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 : n015.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 8.85s 1.57s
% Output : CNFRefutation 8.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 10 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel27_1,axiom,
? [X0] :
( ~ 'big$ug'(X0)
& 'big$uf'(X0) ) ).
fof(pel27_2,axiom,
! [X0] :
( 'big$uf'(X0)
=> 'big$uh'(X0) ) ).
fof(pel27_3,axiom,
! [X0] :
( ( 'big$ui'(X0)
& 'big$uj'(X0) )
=> 'big$uf'(X0) ) ).
fof(pel27_4,axiom,
( ? [X0] :
( ~ 'big$ug'(X0)
& 'big$uh'(X0) )
=> ! [X1] :
( 'big$ui'(X1)
=> ~ 'big$uh'(X1) ) ) ).
fof(pel27,conjecture,
! [X0] :
( 'big$uj'(X0)
=> ~ 'big$ui'(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'big$uj'(X0)
=> ~ 'big$ui'(X0) ),
inference(negate_conjecture,[status(cth)],[pel27]) ).
cnf(c0,plain,
'big$uf'(sK0),
inference(clausification,[status(esa)],[pel27_1]) ).
cnf(c1,plain,
~ 'big$ug'(sK0),
inference(clausification,[status(esa)],[pel27_1]) ).
cnf(c2,plain,
( 'big$uh'(X0)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[pel27_2]) ).
cnf(c3,plain,
( 'big$uf'(X0)
| ~ 'big$ui'(X0)
| ~ 'big$uj'(X0) ),
inference(clausification,[status(esa)],[pel27_3]) ).
cnf(c4,plain,
( ~ 'big$uh'(X1)
| ~ 'big$ui'(X1)
| 'big$ug'(X0)
| ~ 'big$uh'(X0) ),
inference(clausification,[status(esa)],[pel27_4]) ).
cnf(c5,plain,
'big$uj'(sK5),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c6,plain,
'big$ui'(sK5),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$uh'(sK0),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( ~ 'big$uh'(X0)
| ~ 'big$uh'(sK5)
| 'big$ug'(X0) ),
inference(resolution,[status(thm)],[c4,c6]) ).
cnf(d2,plain,
( ~ 'big$ui'(sK5)
| 'big$uf'(sK5) ),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(d3,plain,
'big$uf'(sK5),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
'big$uh'(sK5),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
( ~ 'big$uh'(X0)
| 'big$ug'(X0) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
'big$ug'(sK0),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c1,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN057+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
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:11:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.85/1.57 % SZS status Theorem for theBenchmark.p
% 8.85/1.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------