%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO080+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 07:14:06 AM UTC 2026
% Result : Theorem 5.36s 3.43s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 3 ~; 3 |; 0 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(part_of_defn,axiom,
! [X0,X1] :
( 'part$uof'(X1,X0)
<=> ! [X2] :
( 'incident$uc'(X2,X1)
=> 'incident$uc'(X2,X0) ) ) ).
fof(prove_reflexivity,conjecture,
! [X0] : 'part$uof'(X0,X0) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] : 'part$uof'(X0,X0),
inference(negate_conjecture,[status(cth)],[prove_reflexivity]) ).
cnf(c_1,plain,
( 'incident$uc'(sK3(X1,X0),X0)
| 'part$uof'(X0,X1) ),
inference(clausification,[status(esa)],[part_of_defn]) ).
cnf(c_2,plain,
( ~ 'incident$uc'(sK3(X1,X0),X1)
| 'part$uof'(X0,X1) ),
inference(clausification,[status(esa)],[part_of_defn]) ).
cnf(c_54,plain,
~ 'part$uof'(sK63,sK63),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'part$uof'(X0,X0)
| 'part$uof'(X0,X0) ),
inference(resolution,[status(thm)],[c_2,c_1]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO080+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n013.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Fri Sep 25 12:40:22 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/3.43 % SZS status Theorem for theBenchmark.p
% 5.36/3.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------