%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO085-1 : 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 : n005.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 : Unsatisfiable 12.73s 3.40s
% Output : CNFRefutation 12.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of clauses : 34 ( 9 unt; 4 nHn; 32 RR)
% Number of literals : 63 ( 19 equ; 33 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 27 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(theorem_2_7_1_67,negated_conjecture,
open(sk14) ).
cnf(theorem_2_7_1_68,negated_conjecture,
( ~ 'end$upoint'(X1,sk14)
| ~ 'end$upoint'(X0,sk14)
| X0 = X1 ) ).
cnf(closed_defn_31,axiom,
( ~ 'end$upoint'(X1,X0)
| ~ closed(X0) ) ).
cnf(closed_defn_32,axiom,
( closed(X0)
| 'end$upoint'('ax0$usk6'(X0),X0) ) ).
cnf(open_defn_33,axiom,
( 'end$upoint'('ax0$usk7'(X0),X0)
| ~ open(X0) ) ).
cnf(c6_41,axiom,
( 'end$upoint'('ax0$usk11'(X0,X1),X1)
| ~ 'end$upoint'(X0,X1) ) ).
cnf(c6_42,axiom,
( X0 != 'ax0$usk11'(X0,X1)
| ~ 'end$upoint'(X0,X1) ) ).
cnf(c0,plain,
open(sk14),
inference(clausification,[status(esa)],[theorem_2_7_1_67]) ).
cnf(c1,plain,
( ~ 'end$upoint'(X1,sk14)
| ~ 'end$upoint'(X0,sk14)
| X0 = X1 ),
inference(clausification,[status(esa)],[theorem_2_7_1_68]) ).
cnf(c32,plain,
( ~ 'end$upoint'(X1,X0)
| ~ closed(X0) ),
inference(clausification,[status(esa)],[closed_defn_31]) ).
cnf(c33,plain,
( closed(X0)
| 'end$upoint'('ax0$usk6'(X0),X0) ),
inference(clausification,[status(esa)],[closed_defn_32]) ).
cnf(c34,plain,
( 'end$upoint'('ax0$usk7'(X0),X0)
| ~ open(X0) ),
inference(clausification,[status(esa)],[open_defn_33]) ).
cnf(c42,plain,
( 'end$upoint'('ax0$usk11'(X0,X1),X1)
| ~ 'end$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[c6_41]) ).
cnf(c43,plain,
( X0 != 'ax0$usk11'(X0,X1)
| ~ 'end$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[c6_42]) ).
cnf(d0,plain,
( ~ closed(X0)
| ~ open(X0) ),
inference(resolution,[status(thm)],[c34,c32]) ).
cnf(d1,plain,
( ~ 'end$upoint'(X0,sk14)
| 'ax0$usk7'(sk14) = X0
| ~ open(sk14) ),
inference(resolution,[status(thm)],[c34,c1]) ).
cnf(d2,plain,
( ~ 'end$upoint'(X0,sk14)
| 'ax0$usk7'(sk14) = X0 ),
inference(resolution,[status(thm)],[c0,d1]) ).
cnf(d3,plain,
( closed(sk14)
| 'ax0$usk7'(sk14) = 'ax0$usk6'(sk14) ),
inference(resolution,[status(thm)],[d2,c33]) ).
cnf(d4,plain,
( ~ open(sk14)
| 'ax0$usk7'(sk14) = 'ax0$usk6'(sk14) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
'ax0$usk7'(sk14) = 'ax0$usk6'(sk14),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
( ~ open(sk14)
| 'end$upoint'('ax0$usk6'(sk14),sk14) ),
inference(superposition,[status(thm)],[d5,c34]) ).
cnf(d7,plain,
'end$upoint'('ax0$usk6'(sk14),sk14),
inference(resolution,[status(thm)],[c0,d6]) ).
cnf(d8,plain,
( ~ 'end$upoint'(X0,sk14)
| 'ax0$usk7'(sk14) = 'ax0$usk11'(X0,sk14) ),
inference(resolution,[status(thm)],[d2,c42]) ).
cnf(d9,plain,
( ~ 'end$upoint'(X0,sk14)
| 'ax0$usk6'(sk14) = 'ax0$usk11'(X0,sk14) ),
inference(demodulation,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
'ax0$usk6'(sk14) = 'ax0$usk11'('ax0$usk6'(sk14),sk14),
inference(resolution,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
( ~ 'end$upoint'('ax0$usk6'(sk14),sk14)
| 'ax0$usk6'(sk14) != 'ax0$usk6'(sk14) ),
inference(superposition,[status(thm)],[d10,c43]) ).
cnf(d12,plain,
'ax0$usk6'(sk14) != 'ax0$usk6'(sk14),
inference(resolution,[status(thm)],[d7,d11]) ).
cnf(d13,plain,
( ~ 'end$upoint'(X0,sk14)
| 'ax0$usk6'(sk14) = X0
| closed(sk14) ),
inference(resolution,[status(thm)],[c33,c1]) ).
cnf(d14,plain,
~ closed(sk14),
inference(resolution,[status(thm)],[d7,c32]) ).
cnf(d15,plain,
( ~ 'end$upoint'(X0,sk14)
| 'ax0$usk6'(sk14) = X0 ),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
( ~ open(sk14)
| 'ax0$usk6'(sk14) = 'ax0$usk7'(sk14) ),
inference(resolution,[status(thm)],[d15,c34]) ).
cnf(d17,plain,
( ~ open(sk14)
| 'ax0$usk6'(sk14) = 'ax0$usk6'(sk14) ),
inference(demodulation,[status(thm)],[d16,d5]) ).
cnf(d18,plain,
'ax0$usk6'(sk14) = 'ax0$usk6'(sk14),
inference(resolution,[status(thm)],[c0,d17]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d18,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.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 12:41:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.73/3.40 % SZS status Unsatisfiable for theBenchmark.p
% 12.73/3.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------