%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN060+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 : n010.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 09:21:00 AM UTC 2026
% Result : Theorem 8.83s 6.96s
% Output : CNFRefutation 8.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel30_1,axiom,
! [X0] :
( ( 'big$ug'(X0)
| 'big$uf'(X0) )
=> ~ 'big$uh'(X0) ) ).
fof(pel30_2,axiom,
! [X0] :
( ( 'big$ug'(X0)
=> ~ 'big$ui'(X0) )
=> ( 'big$uh'(X0)
& 'big$uf'(X0) ) ) ).
fof(pel30,conjecture,
! [X0] : 'big$ui'(X0) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] : 'big$ui'(X0),
inference(negate_conjecture,[status(cth)],[pel30]) ).
cnf(c0,plain,
( ~ 'big$uh'(X0)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[pel30_1]) ).
cnf(c4,plain,
( 'big$uf'(X0)
| 'big$ui'(X0) ),
inference(clausification,[status(esa)],[pel30_2]) ).
cnf(c5,plain,
( 'big$uh'(X0)
| 'big$ui'(X0) ),
inference(clausification,[status(esa)],[pel30_2]) ).
cnf(c6,plain,
~ 'big$ui'(sK2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$uh'(sK2),
inference(resolution,[status(thm)],[c5,c6]) ).
cnf(d1,plain,
'big$uf'(sK2),
inference(resolution,[status(thm)],[c4,c6]) ).
cnf(d2,plain,
~ 'big$uh'(sK2),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN060+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
% 0.11/5.81 % Computer : n010.cluster.edu
% 0.11/5.81 % Model : x86_64 x86_64
% 0.11/5.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.81 % Memory : 8046.5625MB
% 0.11/5.81 % OS : Linux 6.8.0-71-generic
% 0.11/5.81 % CPULimit : 300
% 0.11/5.81 % WCLimit : 300
% 0.11/5.81 % DateTime : Sat Sep 26 17:08:22 UTC 2026
% 0.11/5.81 % CPUTime :
% 0.11/5.81 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.83/6.96 % SZS status Theorem for theBenchmark.p
% 8.83/6.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------