%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN379+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 09:22:00 AM UTC 2026
% Result : Theorem 7.44s 1.49s
% Output : CNFRefutation 7.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 12 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 15 ( 4 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2131,conjecture,
( ! [X0] : 'big$up'(X0)
=> ? [X1] :
( ! [X0,X2] : 'big$uq'(X0,X1,X2)
=> ~ ! [X2] :
( ~ 'big$uq'(X1,X1,X2)
& 'big$up'(X2) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] : 'big$up'(X0)
=> ? [X1] :
( ! [X0,X2] : 'big$uq'(X0,X1,X2)
=> ~ ! [X2] :
( ~ 'big$uq'(X1,X1,X2)
& 'big$up'(X2) ) ) ),
inference(negate_conjecture,[status(cth)],[x2131]) ).
cnf(c1,plain,
'big$uq'(X0,X1,X2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
~ 'big$uq'(X0,X0,X1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c1,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN379+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
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 17:39:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.44/1.49 % SZS status Theorem for theBenchmark.p
% 7.44/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------