%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN960+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 09:34:25 AM UTC 2026
% Result : Theorem 8.49s 1.64s
% Output : CNFRefutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 2 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 4 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 8 sgn 0 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ? [X0,X1] : a(X0,X1)
<=> ? [X1,X0] : a(X0,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ? [X0,X1] : a(X0,X1)
<=> ? [X1,X0] : a(X0,X1) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(c0,plain,
( ~ a(X0,X1)
| a(sK0,sK1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( a(sK7,sK6)
| a(sK0,sK1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( ~ a(X2,X3)
| ~ a(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( a(sK0,sK1)
| a(sK0,sK1) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
~ a(X0,X1),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN960+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n005.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Sat Sep 26 18:52:03 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.52 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.49/1.64 % SZS status Theorem for theBenchmark.p
% 8.49/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------