%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN061+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 : n018.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 8.87s 1.52s
% Output : CNFRefutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 5 |; 4 &)
% ( 0 <=>; 1 =>; 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 : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 1 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel31_1,axiom,
~ ? [X0] :
( ( 'big$uh'(X0)
| 'big$ug'(X0) )
& 'big$uf'(X0) ) ).
fof(pel31_2,axiom,
? [X0] :
( 'big$uf'(X0)
& 'big$ui'(X0) ) ).
fof(pel31_3,axiom,
! [X0] :
( ~ 'big$uh'(X0)
=> 'big$uj'(X0) ) ).
fof(pel31,conjecture,
? [X0] :
( 'big$uj'(X0)
& 'big$ui'(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( 'big$uj'(X0)
& 'big$ui'(X0) ),
inference(negate_conjecture,[status(cth)],[pel31]) ).
cnf(c1,plain,
( ~ 'big$uh'(X0)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[pel31_1]) ).
cnf(c2,plain,
'big$ui'(sK1),
inference(clausification,[status(esa)],[pel31_2]) ).
cnf(c3,plain,
'big$uf'(sK1),
inference(clausification,[status(esa)],[pel31_2]) ).
cnf(c4,plain,
( 'big$uj'(X0)
| 'big$uh'(X0) ),
inference(clausification,[status(esa)],[pel31_3]) ).
cnf(c5,plain,
( ~ 'big$uj'(X0)
| ~ 'big$ui'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'big$ui'(X0)
| 'big$uh'(X0) ),
inference(resolution,[status(thm)],[c4,c5]) ).
cnf(d1,plain,
'big$uh'(sK1),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
~ 'big$uf'(sK1),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN061+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:10:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.87/1.52 % SZS status Theorem for theBenchmark.p
% 8.87/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------