%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO086+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 07:14:08 AM UTC 2026
% Result : Theorem 12.83s 2.09s
% Output : CNFRefutation 12.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 5 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c1,axiom,
! [X0,X1] :
( ( X1 != X0
& 'part$uof'(X1,X0) )
=> open(X1) ) ).
fof(theorem_2_7_2,conjecture,
! [X0,X1] :
( ( 'part$uof'(X1,X0)
& open(X0) )
=> open(X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( 'part$uof'(X1,X0)
& open(X0) )
=> open(X1) ),
inference(negate_conjecture,[status(cth)],[theorem_2_7_2]) ).
cnf(c_40,plain,
( open(X0)
| X0 = X1
| ~ 'part$uof'(X0,X1) ),
inference(clausification,[status(esa)],[c1]) ).
cnf(c_54,plain,
open(sK63),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c_55,plain,
'part$uof'(sK64,sK63),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c_56,plain,
~ open(sK64),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( open(sK64)
| sK64 = sK63 ),
inference(resolution,[status(thm)],[c_40,c_55]) ).
cnf(d1,plain,
sK64 = sK63,
inference(resolution,[status(thm)],[c_56,d0]) ).
cnf(d2,plain,
~ open(sK63),
inference(demodulation,[status(thm)],[c_56,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c_54,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO086+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 12:46:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.83/2.09 % SZS status Theorem for theBenchmark.p
% 12.83/2.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------