%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN728+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 09:29:27 AM UTC 2026
% Result : Theorem 9.14s 1.74s
% Output : CNFRefutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 35 ( 11 ~; 10 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 32 ( 9 sgn 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm69,conjecture,
( ( ! [X5] :
( q(X5)
=> ~ m(g(X5)) )
& ! [X3] :
? [X4] :
( ( q(f(X3,X4))
& m(X3) )
| p(X3,X4) )
& ! [X0] :
( ? [X1] : p(X0,X1)
=> ! [X2] : p(X2,X2) ) )
=> ! [X6] :
? [X7] :
( p(X6,X6)
& p(g(X6),X7) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X5] :
( q(X5)
=> ~ m(g(X5)) )
& ! [X3] :
? [X4] :
( ( q(f(X3,X4))
& m(X3) )
| p(X3,X4) )
& ! [X0] :
( ? [X1] : p(X0,X1)
=> ! [X2] : p(X2,X2) ) )
=> ! [X6] :
? [X7] :
( p(X6,X6)
& p(g(X6),X7) ) ),
inference(negate_conjecture,[status(cth)],[thm69]) ).
cnf(c0,plain,
( p(X2,X2)
| ~ p(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( m(X0)
| p(X0,sK4(X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( q(f(X0,sK4(X0)))
| p(X0,sK4(X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ m(g(X0))
| ~ q(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( ~ p(sK6,sK6)
| ~ p(g(sK6),X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( p(X1,X1)
| m(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( m(X0)
| ~ p(sK6,sK6) ),
inference(resolution,[status(thm)],[c4,d0]) ).
cnf(d2,plain,
( m(X1)
| m(X0) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
m(X0),
inference(factoring,[status(thm)],[d2]) ).
cnf(d4,plain,
~ q(X0),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
p(X0,sK4(X0)),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
~ p(sK6,sK6),
inference(resolution,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
p(X0,X0),
inference(resolution,[status(thm)],[d5,c0]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN728+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n008.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sat Sep 26 18:23:12 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.14/1.74 % SZS status Theorem for theBenchmark.p
% 9.14/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------