%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN361+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 09:21:57 AM UTC 2026
% Result : Theorem 8.15s 1.53s
% Output : CNFRefutation 8.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 21 ( 9 ~; 2 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 21 ( 2 sgn 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2112,conjecture,
( ( ! [X1,X2] :
( 'big$up'(X1,X2)
=> ~ 'big$uq'(X1,X2) )
& ! [X1] :
( 'big$us'(X1)
=> ? [X2] : 'big$uq'(X2,X1) )
& ? [X0] :
! [X1] : 'big$up'(X1,X0) )
=> ? [X3] : ~ 'big$us'(X3) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X1,X2] :
( 'big$up'(X1,X2)
=> ~ 'big$uq'(X1,X2) )
& ! [X1] :
( 'big$us'(X1)
=> ? [X2] : 'big$uq'(X2,X1) )
& ? [X0] :
! [X1] : 'big$up'(X1,X0) )
=> ? [X3] : ~ 'big$us'(X3) ),
inference(negate_conjecture,[status(cth)],[x2112]) ).
cnf(c0,plain,
'big$up'(X0,sK0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( 'big$uq'(sK3(X0),X0)
| ~ 'big$us'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( ~ 'big$uq'(X0,X1)
| ~ 'big$up'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
'big$us'(X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$uq'(sK3(X0),X0),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
~ 'big$up'(sK3(X0),X0),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN361+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
% 0.09/0.36 % Computer : n010.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 17:38:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.15/1.53 % SZS status Theorem for theBenchmark.p
% 8.15/1.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------