%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN942+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 : n026.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 09:34:22 AM UTC 2026
% Result : Theorem 7.80s 1.59s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 24 ( 8 ~; 6 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ( ~ ! [X0] :
( a(X0)
=> b(X0) )
& ! [X0] :
( a(X0)
=> ( c(X0)
| b(X0) ) ) )
=> ? [X0] :
( c(X0)
& a(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ~ ! [X0] :
( a(X0)
=> b(X0) )
& ! [X0] :
( a(X0)
=> ( c(X0)
| b(X0) ) ) )
=> ? [X0] :
( c(X0)
& a(X0) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(c0,plain,
( c(X0)
| b(X0)
| ~ a(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
a(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
~ b(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ c(X0)
| ~ a(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( b(sK1)
| c(sK1) ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
c(sK1),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
~ a(sK1),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c1,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN942+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 18:53:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.80/1.59 % SZS status Theorem for theBenchmark.p
% 7.80/1.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------