%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN359+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 : n012.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 9.22s 11.57s
% Output : CNFRefutation 9.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 2 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 25 ( 8 ~; 5 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 21 ( 2 sgn 6 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2110,conjecture,
( ( ! [X0,X1] :
( 'big$uq'(X0,X1)
=> 'big$uq'(X0,X0) )
& ! [X1] :
( 'big$ur'(X1)
=> ? [X2] : 'big$uq'(X1,X2) )
& ? [X0] : 'big$ur'(X0) )
=> ? [X0,X1] :
( 'big$ur'(X1)
& 'big$uq'(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X0,X1] :
( 'big$uq'(X0,X1)
=> 'big$uq'(X0,X0) )
& ! [X1] :
( 'big$ur'(X1)
=> ? [X2] : 'big$uq'(X1,X2) )
& ? [X0] : 'big$ur'(X0) )
=> ? [X0,X1] :
( 'big$ur'(X1)
& 'big$uq'(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[x2110]) ).
cnf(c0,plain,
'big$ur'(sK0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( 'big$uq'(X0,sK2(X0))
| ~ 'big$ur'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( 'big$uq'(X0,X0)
| ~ 'big$uq'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ 'big$ur'(X1)
| ~ 'big$uq'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'big$ur'(X0)
| 'big$uq'(X0,X0) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
( ~ 'big$ur'(X0)
| ~ 'big$ur'(X0) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN359+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/10.32 % Computer : n012.cluster.edu
% 0.04/10.32 % Model : x86_64 x86_64
% 0.04/10.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.32 % Memory : 8046.5625MB
% 0.04/10.32 % OS : Linux 6.8.0-71-generic
% 0.04/10.32 % CPULimit : 300
% 0.04/10.32 % WCLimit : 300
% 0.04/10.32 % DateTime : Sat Sep 26 17:38:15 UTC 2026
% 0.04/10.33 % CPUTime :
% 0.04/10.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.22/11.57 % SZS status Theorem for theBenchmark.p
% 9.22/11.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------