%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:53:32 AM UTC 2026
% Result : Unsatisfiable 70.06s 19.05s
% Output : CNFRefutation 70.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of clauses : 56 ( 21 unt; 0 nHn; 17 RR)
% Number of literals : 163 ( 0 equ; 120 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 306 ( 214 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(or(not(X0),X1)) ) ).
cnf(an_CAMeredith,axiom,
'is$ua$utheorem'(or(not(or(not(or(not(X0),X1)),or(X2,or(X3,X4)))),or(not(or(not(X3),X0)),or(X2,or(X4,X0))))) ).
cnf(an_2,negated_conjecture,
~ 'is$ua$utheorem'(or(not(or(a,b)),or(b,a))) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(or(not(X0),X1)) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c1,plain,
'is$ua$utheorem'(or(not(or(not(or(not(X0),X1)),or(X2,or(X3,X4)))),or(not(or(not(X3),X0)),or(X2,or(X4,X0))))),
inference(clausification,[status(esa)],[an_CAMeredith]) ).
cnf(c2,plain,
~ 'is$ua$utheorem'(or(not(or(a,b)),or(b,a))),
inference(clausification,[status(esa)],[an_2]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(or(not(or(not(X1),X4)),or(X2,or(X0,X3))))
| 'is$ua$utheorem'(or(not(or(not(X0),X1)),or(X2,or(X3,X1)))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
'is$ua$utheorem'(or(not(or(not(X0),or(not(X1),X2))),or(not(or(not(X3),X1)),or(or(X4,X1),or(not(X1),X2))))),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
'is$ua$utheorem'(or(not(or(not(or(X0,X1)),X2)),or(not(or(not(X3),X1)),or(or(not(X1),X4),X2)))),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'is$ua$utheorem'(or(not(or(not(or(not(X0),X1)),or(X2,X0))),or(not(or(not(X3),X0)),or(X4,or(X2,X0))))),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(or(not(or(not(X1),X4)),or(X3,X1)))
| 'is$ua$utheorem'(or(not(or(not(X0),X1)),or(X2,or(X3,X1)))) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( 'is$ua$utheorem'(or(not(or(not(X2),X3)),or(X4,or(X0,X3))))
| ~ 'is$ua$utheorem'(or(not(or(not(X0),X1)),or(X2,X0))) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( 'is$ua$utheorem'(or(not(or(not(X0),X2)),or(X3,or(X4,X2))))
| ~ 'is$ua$utheorem'(or(not(or(not(X0),X1)),or(X2,X0))) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( ~ 'is$ua$utheorem'(or(not(X0),X2))
| 'is$ua$utheorem'(or(X3,or(X4,X2)))
| ~ 'is$ua$utheorem'(or(not(or(not(X0),X1)),or(X2,X0))) ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
( ~ 'is$ua$utheorem'(or(not(or(not(X4),X5)),or(X3,X4)))
| ~ 'is$ua$utheorem'(or(not(or(X3,X4)),X2))
| 'is$ua$utheorem'(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ 'is$ua$utheorem'(or(not(or(not(or(not(X3),X4)),or(not(X4),or(X5,X4)))),X2))
| 'is$ua$utheorem'(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
'is$ua$utheorem'(or(X0,or(X1,or(not(or(not(X2),X3)),or(not(X4),or(X4,X3)))))),
inference(resolution,[status(thm)],[d9,c1]) ).
cnf(d11,plain,
( ~ 'is$ua$utheorem'(or(not(or(not(or(not(X3),X4)),or(not(X5),or(X5,X4)))),X2))
| 'is$ua$utheorem'(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
'is$ua$utheorem'(or(X0,or(X1,or(not(or(not(X2),X3)),or(not(X2),or(X4,X3)))))),
inference(resolution,[status(thm)],[d11,c1]) ).
cnf(d13,plain,
( ~ 'is$ua$utheorem'(or(not(or(not(or(not(X3),X4)),or(not(X3),or(X5,X4)))),X2))
| 'is$ua$utheorem'(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[d12,d7]) ).
cnf(d14,plain,
'is$ua$utheorem'(or(X0,or(X1,or(not(or(not(X2),X3)),or(not(X3),or(X4,X3)))))),
inference(resolution,[status(thm)],[d13,c1]) ).
cnf(d15,plain,
'is$ua$utheorem'(or(X0,or(X1,or(X2,or(not(or(not(X3),X4)),or(not(X4),or(X5,X4))))))),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
'is$ua$utheorem'(or(X0,or(X1,or(X2,or(X3,or(not(or(not(X4),X5)),or(not(X5),or(X6,X5)))))))),
inference(resolution,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
( ~ 'is$ua$utheorem'(or(not(or(X3,or(not(or(not(X4),X5)),or(not(X6),or(X6,X5))))),X2))
| 'is$ua$utheorem'(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d18,plain,
'is$ua$utheorem'(or(X0,or(X1,or(not(or(not(not(X2)),X3)),or(not(or(not(X4),X5)),or(or(X2,X5),X3)))))),
inference(resolution,[status(thm)],[d17,c1]) ).
cnf(d19,plain,
'is$ua$utheorem'(or(X0,or(X1,or(not(or(not(X2),or(X3,X4))),or(X5,or(not(X4),or(X3,X4))))))),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d20,plain,
'is$ua$utheorem'(or(X0,or(X1,or(X2,or(not(or(not(X3),or(X4,X5))),or(X6,or(not(X5),or(X4,X5)))))))),
inference(resolution,[status(thm)],[d19,d9]) ).
cnf(d21,plain,
'is$ua$utheorem'(or(X0,or(X1,or(not(or(not(X2),X3)),or(or(not(X3),X4),or(not(X5),or(X6,X3))))))),
inference(resolution,[status(thm)],[d13,d2]) ).
cnf(d22,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(or(X0,or(not(or(not(X1),X2)),or(or(not(X2),X3),or(not(X4),or(X5,X2)))))) ),
inference(resolution,[status(thm)],[d21,c0]) ).
cnf(d23,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(or(not(or(not(X1),X2)),or(or(not(X2),X3),or(not(X4),or(X5,X2)))))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d22,c0]) ).
cnf(d24,plain,
( ~ 'is$ua$utheorem'(or(not(or(not(or(X3,X4)),X5)),or(X4,or(X3,X4))))
| ~ 'is$ua$utheorem'(or(not(or(X3,X4)),X2))
| 'is$ua$utheorem'(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d25,plain,
( ~ 'is$ua$utheorem'(X6)
| ~ 'is$ua$utheorem'(X5)
| ~ 'is$ua$utheorem'(or(not(or(not(X3),or(not(X4),X4))),X2))
| 'is$ua$utheorem'(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[d24,d23]) ).
cnf(d26,plain,
'is$ua$utheorem'(or(X0,or(X1,or(X2,or(not(or(not(X3),X4)),or(not(X5),or(X5,X4))))))),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d27,plain,
'is$ua$utheorem'(or(not(or(not(X0),X1)),or(X2,or(or(not(or(not(X3),X4)),or(not(X5),or(X5,X4))),X1)))),
inference(resolution,[status(thm)],[d26,d0]) ).
cnf(d28,plain,
'is$ua$utheorem'(or(not(or(not(or(not(or(not(X0),X1)),or(not(X2),or(X2,X1)))),X3)),or(X4,or(X5,X3)))),
inference(resolution,[status(thm)],[d27,d0]) ).
cnf(d29,plain,
( 'is$ua$utheorem'(or(X2,or(X3,or(X4,or(X5,or(not(X6),X6))))))
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d28,d25]) ).
cnf(d30,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(or(X2,or(X3,or(X4,or(not(X5),X5)))))
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d29,c0]) ).
cnf(d31,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(or(X3,or(X4,or(not(X5),X5))))
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d30,c0]) ).
cnf(d32,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(or(X4,or(not(X5),X5)))
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d31,c0]) ).
cnf(d33,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(or(not(X5),X5))
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d32,c0]) ).
cnf(d34,plain,
( 'is$ua$utheorem'(or(X2,or(X3,or(not(or(not(X4),X5)),or(not(or(X4,X6)),or(X6,X5))))))
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d25,c1]) ).
cnf(d35,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(or(X2,or(not(or(not(X3),X4)),or(not(or(X3,X5)),or(X5,X4)))))
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d34,c0]) ).
cnf(d36,plain,
( ~ 'is$ua$utheorem'(X6)
| 'is$ua$utheorem'(or(not(or(not(X3),X4)),or(not(or(X3,X5)),or(X5,X4))))
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d35,c0]) ).
cnf(d37,plain,
( ~ 'is$ua$utheorem'(or(not(X4),X6))
| 'is$ua$utheorem'(or(not(or(X4,X5)),or(X5,X6)))
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d36,c0]) ).
cnf(d38,plain,
( ~ 'is$ua$utheorem'(or(not(a),a))
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d37,c2]) ).
cnf(d39,plain,
( ~ 'is$ua$utheorem'(X9)
| ~ 'is$ua$utheorem'(X8)
| ~ 'is$ua$utheorem'(X7)
| ~ 'is$ua$utheorem'(X6)
| ~ 'is$ua$utheorem'(X5)
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d38,d33]) ).
cnf(d40,plain,
( ~ 'is$ua$utheorem'(X8)
| ~ 'is$ua$utheorem'(X7)
| ~ 'is$ua$utheorem'(X6)
| ~ 'is$ua$utheorem'(X5)
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d39,d20]) ).
cnf(d41,plain,
( ~ 'is$ua$utheorem'(X7)
| ~ 'is$ua$utheorem'(X6)
| ~ 'is$ua$utheorem'(X5)
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d40,d20]) ).
cnf(d42,plain,
( ~ 'is$ua$utheorem'(X6)
| ~ 'is$ua$utheorem'(X5)
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d41,d20]) ).
cnf(d43,plain,
( ~ 'is$ua$utheorem'(X5)
| ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d42,d20]) ).
cnf(d44,plain,
( ~ 'is$ua$utheorem'(X4)
| ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d43,d20]) ).
cnf(d45,plain,
( ~ 'is$ua$utheorem'(X3)
| ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d44,d20]) ).
cnf(d46,plain,
( ~ 'is$ua$utheorem'(X2)
| ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d45,d20]) ).
cnf(d47,plain,
( ~ 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d46,d20]) ).
cnf(d48,plain,
~ 'is$ua$utheorem'(X0),
inference(resolution,[status(thm)],[d47,d18]) ).
cnf(d49,plain,
$false,
inference(resolution,[status(thm)],[d48,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n003.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Fri Sep 25 21:44:43 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.06/19.05 % SZS status Unsatisfiable for theBenchmark.p
% 70.06/19.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------