%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 07:55:13 AM UTC 2026
% Result : Theorem 10.58s 3.06s
% Output : CNFRefutation 10.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 90 ( 47 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ! [X0] :
( p11(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p12(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p13(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p15(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( p12(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p14(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p12(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p16(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ! [X0] :
( p11(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p12(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p13(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p15(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( p12(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p14(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p12(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p16(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(c3,plain,
( p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK4,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
r1(sK4,sK14),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c13,plain,
r1(sK14,sK15),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c14,plain,
~ p12(sK15),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( p12(X0)
| ~ r1(sK14,X0) ),
inference(resolution,[status(thm)],[c12,c3]) ).
cnf(d1,plain,
p12(sK15),
inference(resolution,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c14,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44 % Computer : n018.cluster.edu
% 0.11/0.44 % Model : x86_64 x86_64
% 0.11/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.44 % Memory : 8046.5625MB
% 0.11/0.44 % OS : Linux 6.8.0-71-generic
% 0.11/0.44 % CPULimit : 300
% 0.11/0.44 % WCLimit : 300
% 0.11/0.44 % DateTime : Fri Sep 25 23:21:35 UTC 2026
% 0.11/0.45 % CPUTime :
% 0.11/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.58/3.06 % SZS status Theorem for theBenchmark.p
% 10.58/3.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------