%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN979+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 : n006.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 09:34:27 AM UTC 2026
% Result : Theorem 11.38s 2.14s
% Output : CNFRefutation 11.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 26 ( 3 ~; 1 |; 14 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 4 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X0,X1] :
? [X2,X3] :
( ( s(X0)
& ( s(X0)
=> p(X2,X3) )
& r(X1)
& r(X0)
& ( r(X3)
=> p(X1,X3) )
& q(X1)
& q(X0)
& ( q(X2)
=> p(X2,X0) ) )
=> p(X0,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
( ( s(X0)
& ( s(X0)
=> p(X2,X3) )
& r(X1)
& r(X0)
& ( r(X3)
=> p(X1,X3) )
& q(X1)
& q(X0)
& ( q(X2)
=> p(X2,X0) ) )
=> p(X0,X1) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(c6,plain,
( p(X0,X1)
| ~ s(sK0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
s(sK0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
~ p(sK0,sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
p(X0,X1),
inference(resolution,[status(thm)],[c7,c6]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN979+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n006.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 18:52:26 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.38/2.14 % SZS status Theorem for theBenchmark.p
% 11.38/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------