%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN356+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 : n014.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 09:21:56 AM UTC 2026
% Result : Theorem 8.11s 6.58s
% Output : CNFRefutation 8.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 25 ( 7 ~; 4 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2107,conjecture,
( ( ! [X2,X3] :
( 'big$uq'(X2,X3)
=> 'big$uq'(X2,X2) )
& ! [X0,X1] :
( 'big$ur'(X0,X1)
=> ( 'big$uq'(X0,X1)
& 'big$ur'(X1,X0) ) )
& 'big$ur'(a,b) )
=> ( 'big$uq'(b,b)
& 'big$uq'(a,a) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2,X3] :
( 'big$uq'(X2,X3)
=> 'big$uq'(X2,X2) )
& ! [X0,X1] :
( 'big$ur'(X0,X1)
=> ( 'big$uq'(X0,X1)
& 'big$ur'(X1,X0) ) )
& 'big$ur'(a,b) )
=> ( 'big$uq'(b,b)
& 'big$uq'(a,a) ) ),
inference(negate_conjecture,[status(cth)],[x2107]) ).
cnf(c0,plain,
'big$ur'(a,b),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( 'big$ur'(X1,X0)
| ~ 'big$ur'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( 'big$uq'(X0,X1)
| ~ 'big$ur'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( 'big$uq'(X0,X0)
| ~ 'big$uq'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( ~ 'big$uq'(b,b)
| ~ 'big$uq'(a,a) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$uq'(a,b),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'big$uq'(a,a),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
~ 'big$uq'(b,b),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
'big$ur'(b,a),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d4,plain,
'big$uq'(b,a),
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
'big$uq'(b,b),
inference(resolution,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN356+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
% 0.11/5.38 % Computer : n014.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 17:37:37 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.11/6.58 % SZS status Theorem for theBenchmark.p
% 8.11/6.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------