%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN054+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 : n003.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 09:20:58 AM UTC 2026
% Result : Theorem 9.89s 2.68s
% Output : CNFRefutation 9.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 3 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 35 ( 12 ~; 17 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 2 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel24_1,axiom,
~ ? [X0] :
( 'big$uq'(X0)
& 'big$us'(X0) ) ).
fof(pel24_2,axiom,
! [X0] :
( 'big$up'(X0)
=> ( 'big$ur'(X0)
| 'big$uq'(X0) ) ) ).
fof(pel24_3,axiom,
( ~ ? [X0] : 'big$up'(X0)
=> ? [X1] : 'big$uq'(X1) ) ).
fof(pel24_4,axiom,
! [X0] :
( ( 'big$ur'(X0)
| 'big$uq'(X0) )
=> 'big$us'(X0) ) ).
fof(pel24,conjecture,
? [X0] :
( 'big$ur'(X0)
& 'big$up'(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( 'big$ur'(X0)
& 'big$up'(X0) ),
inference(negate_conjecture,[status(cth)],[pel24]) ).
cnf(c0,plain,
( ~ 'big$uq'(X0)
| ~ 'big$us'(X0) ),
inference(clausification,[status(esa)],[pel24_1]) ).
cnf(c1,plain,
( 'big$ur'(X0)
| 'big$uq'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[pel24_2]) ).
cnf(c2,plain,
( 'big$uq'(sK3)
| 'big$up'(sK2) ),
inference(clausification,[status(esa)],[pel24_3]) ).
cnf(c3,plain,
( 'big$us'(X0)
| ~ 'big$uq'(X0) ),
inference(clausification,[status(esa)],[pel24_4]) ).
cnf(c5,plain,
( ~ 'big$ur'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$uq'(sK3)
| 'big$ur'(sK2)
| 'big$uq'(sK2) ),
inference(resolution,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
( ~ 'big$up'(sK2)
| 'big$uq'(sK2)
| 'big$uq'(sK3) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( 'big$uq'(sK3)
| 'big$uq'(sK2)
| 'big$uq'(sK3) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( 'big$us'(sK2)
| 'big$uq'(sK3) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( ~ 'big$uq'(sK2)
| 'big$uq'(sK3) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( 'big$uq'(sK3)
| 'big$uq'(sK3) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
'big$us'(sK3),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d7,plain,
~ 'big$uq'(sK3),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d5,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN054+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n003.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 17:08:40 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.89/2.68 % SZS status Theorem for theBenchmark.p
% 9.89/2.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------