%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN381+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 : n026.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 6.60s 1.51s
% Output : CNFRefutation 6.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 22 ( 4 ~; 8 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 22 ( 1 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2133,conjecture,
( ( ! [X4,X5] :
( 'big$uq'(X4,X5)
=> ( 'big$uq'(X5,X5)
| 'big$uq'(X5,X4) ) )
& ! [X2] :
? [X3] : 'big$uq'(X3,X2)
& ! [X0] :
( ? [X1] : 'big$uq'(X0,X1)
=> 'big$up'(X0) ) )
=> ! [X5] : 'big$up'(X5) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X4,X5] :
( 'big$uq'(X4,X5)
=> ( 'big$uq'(X5,X5)
| 'big$uq'(X5,X4) ) )
& ! [X2] :
? [X3] : 'big$uq'(X3,X2)
& ! [X0] :
( ? [X1] : 'big$uq'(X0,X1)
=> 'big$up'(X0) ) )
=> ! [X5] : 'big$up'(X5) ),
inference(negate_conjecture,[status(cth)],[x2133]) ).
cnf(c0,plain,
( 'big$up'(X0)
| ~ 'big$uq'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
'big$uq'(sK3(X0),X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( 'big$uq'(X1,X1)
| 'big$uq'(X1,X0)
| ~ 'big$uq'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
~ 'big$up'(sK6),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$uq'(X0,sK3(X0))
| 'big$uq'(X0,X0) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
( 'big$up'(X0)
| 'big$uq'(X0,X0) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( 'big$up'(X0)
| 'big$up'(X0) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN381+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 17:42:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.60/1.51 % SZS status Theorem for theBenchmark.p
% 6.60/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------