%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO081+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 : n011.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 6.88s 2.32s
% Output : CNFRefutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 22 ( 7 ~; 9 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(part_of_defn,axiom,
! [X0,X1] :
( 'part$uof'(X1,X0)
<=> ! [X2] :
( 'incident$uc'(X2,X1)
=> 'incident$uc'(X2,X0) ) ) ).
fof(part_of_transitivity,conjecture,
! [X0,X1,X2] :
( ( 'part$uof'(X1,X2)
& 'part$uof'(X0,X1) )
=> 'part$uof'(X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( 'part$uof'(X1,X2)
& 'part$uof'(X0,X1) )
=> 'part$uof'(X0,X2) ),
inference(negate_conjecture,[status(cth)],[part_of_transitivity]) ).
cnf(c_0,plain,
( 'incident$uc'(X2,X1)
| ~ 'incident$uc'(X2,X0)
| ~ 'part$uof'(X0,X1) ),
inference(clausification,[status(esa)],[part_of_defn]) ).
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$uof'(sK63,sK64),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c_55,plain,
'part$uof'(sK64,sK65),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c_56,plain,
~ 'part$uof'(sK63,sK65),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'incident$uc'(X0,sK64)
| 'incident$uc'(X0,sK65) ),
inference(resolution,[status(thm)],[c_55,c_0]) ).
cnf(d1,plain,
( ~ 'incident$uc'(X0,sK63)
| 'incident$uc'(X0,sK64) ),
inference(resolution,[status(thm)],[c_0,c_54]) ).
cnf(d2,plain,
( 'part$uof'(sK63,X0)
| 'incident$uc'(sK3(X0,sK63),sK64) ),
inference(resolution,[status(thm)],[d1,c_1]) ).
cnf(d3,plain,
( 'incident$uc'(sK3(X0,sK63),sK65)
| 'part$uof'(sK63,X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( 'part$uof'(sK63,sK65)
| 'part$uof'(sK63,sK65) ),
inference(resolution,[status(thm)],[d3,c_2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c_56,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO081+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 12:40:43 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.88/2.32 % SZS status Theorem for theBenchmark.p
% 6.88/2.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------