%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL684+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 : n012.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 07:55:14 AM UTC 2026
% Result : Theorem 11.72s 1.87s
% Output : CNFRefutation 11.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 25 ~; 12 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X0] : r1(X0,X0) ).
fof(main,conjecture,
~ ? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ! [X0] :
( ~ ( p101(X0)
& p201(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ! [X0] :
( ~ ( p101(X0)
& p201(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(c0,plain,
r1(X0,X0),
inference(clausification,[status(esa)],[reflexivity]) ).
cnf(c2,plain,
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(X0,X1)
| ~ r1(sK4,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
p201(sK4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
p101(sK4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ p101(X0)
| ~ p201(X0)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( ~ p101(sK4)
| ~ p201(sK4) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
~ p101(sK4),
inference(resolution,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c4,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Fri Sep 25 23:21:20 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.72/1.87 % SZS status Theorem for theBenchmark.p
% 11.72/1.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------