%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN406+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 : n020.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 09:22:04 AM UTC 2026
% Result : Theorem 8.75s 1.59s
% Output : CNFRefutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 17 ( 5 ~; 2 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish240,conjecture,
( ( ? [X1] :
( h(X1)
& f(X1) )
& ! [X0] :
( f(X0)
=> g(X0) ) )
=> ? [X2] :
( h(X2)
& g(X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ? [X1] :
( h(X1)
& f(X1) )
& ! [X0] :
( f(X0)
=> g(X0) ) )
=> ? [X2] :
( h(X2)
& g(X2) ) ),
inference(negate_conjecture,[status(cth)],[kalish240]) ).
cnf(c0,plain,
( g(X0)
| ~ f(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
f(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
h(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ h(X0)
| ~ g(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ g(sK1),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(d1,plain,
g(sK1),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN406+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
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 17:41:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.75/1.59 % SZS status Theorem for theBenchmark.p
% 8.75/1.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------