%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO094-1 : 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 : n004.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 07:14:09 AM UTC 2026
% Result : Unsatisfiable 22.47s 8.80s
% Output : CNFRefutation 22.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 46 ( 19 unt; 4 nHn; 43 RR)
% Number of literals : 106 ( 0 equ; 65 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 64 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(proposition_2_14_3_67,negated_conjecture,
meet(sk17,sk15,sk16) ).
cnf(proposition_2_14_3_68,negated_conjecture,
'part$uof'(sk15,sk14) ).
cnf(proposition_2_14_3_69,negated_conjecture,
'part$uof'(sk16,sk14) ).
cnf(proposition_2_14_3_70,negated_conjecture,
'end$upoint'(sk17,sk14) ).
cnf(part_of_defn_1,axiom,
( 'incident$uc'(X2,X1)
| ~ 'incident$uc'(X2,X0)
| ~ 'part$uof'(X0,X1) ) ).
cnf(end_point_defn_14,axiom,
( 'part$uof'(X3,X2)
| 'part$uof'(X2,X3)
| ~ 'incident$uc'(X0,X3)
| ~ 'incident$uc'(X0,X2)
| ~ 'part$uof'(X3,X1)
| ~ 'part$uof'(X2,X1)
| ~ 'end$upoint'(X0,X1) ) ).
cnf(inner_point_defn_21,axiom,
( 'incident$uc'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ) ).
cnf(inner_point_defn_22,axiom,
( ~ 'end$upoint'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ) ).
cnf(meet_defn_24,axiom,
( 'incident$uc'(X0,X1)
| ~ meet(X0,X1,X2) ) ).
cnf(meet_defn_25,axiom,
( 'incident$uc'(X0,X2)
| ~ meet(X0,X1,X2) ) ).
cnf(meet_defn_26,axiom,
( 'end$upoint'(X3,X1)
| ~ 'incident$uc'(X3,X2)
| ~ 'incident$uc'(X3,X1)
| ~ meet(X0,X1,X2) ) ).
cnf(meet_defn_27,axiom,
( 'end$upoint'(X3,X2)
| ~ 'incident$uc'(X3,X2)
| ~ 'incident$uc'(X3,X1)
| ~ meet(X0,X1,X2) ) ).
cnf(c3_37,axiom,
'inner$upoint'('ax0$usk8'(X0),X0) ).
cnf(c0,plain,
meet(sk17,sk15,sk16),
inference(clausification,[status(esa)],[proposition_2_14_3_67]) ).
cnf(c1,plain,
'part$uof'(sk15,sk14),
inference(clausification,[status(esa)],[proposition_2_14_3_68]) ).
cnf(c2,plain,
'part$uof'(sk16,sk14),
inference(clausification,[status(esa)],[proposition_2_14_3_69]) ).
cnf(c3,plain,
'end$upoint'(sk17,sk14),
inference(clausification,[status(esa)],[proposition_2_14_3_70]) ).
cnf(c4,plain,
( 'incident$uc'(X2,X1)
| ~ 'incident$uc'(X2,X0)
| ~ 'part$uof'(X0,X1) ),
inference(clausification,[status(esa)],[part_of_defn_1]) ).
cnf(c17,plain,
( ~ 'incident$uc'(X0,X2)
| ~ 'incident$uc'(X0,X3)
| ~ 'part$uof'(X3,X1)
| 'part$uof'(X3,X2)
| 'part$uof'(X2,X3)
| ~ 'part$uof'(X2,X1)
| ~ 'end$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[end_point_defn_14]) ).
cnf(c24,plain,
( 'incident$uc'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[inner_point_defn_21]) ).
cnf(c25,plain,
( ~ 'end$upoint'(X0,X1)
| ~ 'inner$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[inner_point_defn_22]) ).
cnf(c27,plain,
( 'incident$uc'(X0,X1)
| ~ meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[meet_defn_24]) ).
cnf(c28,plain,
( 'incident$uc'(X0,X2)
| ~ meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[meet_defn_25]) ).
cnf(c29,plain,
( 'end$upoint'(X3,X1)
| ~ 'incident$uc'(X3,X2)
| ~ 'incident$uc'(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[meet_defn_26]) ).
cnf(c30,plain,
( 'end$upoint'(X3,X2)
| ~ 'incident$uc'(X3,X2)
| ~ 'incident$uc'(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[meet_defn_27]) ).
cnf(c40,plain,
'inner$upoint'('ax0$usk8'(X0),X0),
inference(clausification,[status(esa)],[c3_37]) ).
cnf(d0,plain,
'incident$uc'(sk17,sk16),
inference(resolution,[status(thm)],[c28,c0]) ).
cnf(d1,plain,
'incident$uc'(sk17,sk15),
inference(resolution,[status(thm)],[c27,c0]) ).
cnf(d2,plain,
( ~ 'incident$uc'(sk17,X0)
| ~ 'end$upoint'(sk17,X1)
| ~ 'part$uof'(sk15,X1)
| 'part$uof'(sk15,X0)
| ~ 'part$uof'(X0,X1)
| 'part$uof'(X0,sk15) ),
inference(resolution,[status(thm)],[d1,c17]) ).
cnf(d3,plain,
( ~ 'end$upoint'(sk17,X0)
| 'part$uof'(sk15,sk16)
| ~ 'part$uof'(sk15,X0)
| 'part$uof'(sk16,sk15)
| ~ 'part$uof'(sk16,X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
'incident$uc'('ax0$usk8'(X0),X0),
inference(resolution,[status(thm)],[c24,c40]) ).
cnf(d5,plain,
( 'incident$uc'('ax0$usk8'(X0),X1)
| ~ 'part$uof'(X0,X1) ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( ~ 'incident$uc'(X0,sk15)
| ~ 'incident$uc'(X0,sk16)
| 'end$upoint'(X0,sk16) ),
inference(resolution,[status(thm)],[c30,c0]) ).
cnf(d7,plain,
( ~ 'incident$uc'('ax0$usk8'(sk16),sk15)
| 'end$upoint'('ax0$usk8'(sk16),sk16) ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
~ 'end$upoint'('ax0$usk8'(X0),X0),
inference(resolution,[status(thm)],[c25,c40]) ).
cnf(d9,plain,
~ 'incident$uc'('ax0$usk8'(sk16),sk15),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
~ 'part$uof'(sk16,sk15),
inference(resolution,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
( ~ 'end$upoint'(sk17,X0)
| ~ 'part$uof'(sk16,X0)
| 'part$uof'(sk15,sk16)
| ~ 'part$uof'(sk15,X0) ),
inference(resolution,[status(thm)],[d10,d3]) ).
cnf(d12,plain,
( ~ 'incident$uc'(X0,sk16)
| ~ 'incident$uc'(X0,sk15)
| 'end$upoint'(X0,sk15) ),
inference(resolution,[status(thm)],[c29,c0]) ).
cnf(d13,plain,
( ~ 'part$uof'(X0,sk16)
| ~ 'incident$uc'('ax0$usk8'(X0),sk15)
| 'end$upoint'('ax0$usk8'(X0),sk15) ),
inference(resolution,[status(thm)],[d12,d5]) ).
cnf(d14,plain,
( 'end$upoint'('ax0$usk8'(sk15),sk15)
| ~ 'part$uof'(sk15,sk16) ),
inference(resolution,[status(thm)],[d13,d4]) ).
cnf(d15,plain,
~ 'part$uof'(sk15,sk16),
inference(resolution,[status(thm)],[d8,d14]) ).
cnf(d16,plain,
( ~ 'end$upoint'(sk17,X0)
| ~ 'part$uof'(sk16,X0)
| ~ 'part$uof'(sk15,X0) ),
inference(resolution,[status(thm)],[d15,d11]) ).
cnf(d17,plain,
( ~ 'part$uof'(sk16,sk14)
| ~ 'part$uof'(sk15,sk14) ),
inference(resolution,[status(thm)],[d16,c3]) ).
cnf(d18,plain,
~ 'part$uof'(sk16,sk14),
inference(resolution,[status(thm)],[c1,d17]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[c2,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.58 % Computer : n004.cluster.edu
% 0.09/5.58 % Model : x86_64 x86_64
% 0.09/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58 % Memory : 8046.5625MB
% 0.09/5.58 % OS : Linux 6.8.0-71-generic
% 0.09/5.58 % CPULimit : 300
% 0.09/5.58 % WCLimit : 300
% 0.09/5.58 % DateTime : Fri Sep 25 12:43:30 UTC 2026
% 0.09/5.58 % CPUTime :
% 0.09/5.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.47/8.80 % SZS status Unsatisfiable for theBenchmark.p
% 22.47/8.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------