%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL368+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 07:54:24 AM UTC 2026
% Result : Theorem 51.51s 18.48s
% Output : CNFRefutation 51.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 30 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 32 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 153 ( 42 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(condensed_detachment,axiom,
! [X0,X1] :
( ( 'is$ua$utheorem'(X0)
& 'is$ua$utheorem'(implies(X0,X1)) )
=> 'is$ua$utheorem'(X1) ) ).
fof(cn_1,axiom,
! [X0,X1,X2] : 'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ).
fof(cn_2,axiom,
! [X0] : 'is$ua$utheorem'(implies(implies(not(X0),X0),X0)) ).
fof(cn_3,axiom,
! [X0,X1] : 'is$ua$utheorem'(implies(X0,implies(not(X0),X1))) ).
fof(prove_cn_23,conjecture,
'is$ua$utheorem'(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))) ).
fof(negated_conjecture,negated_conjecture,
~ 'is$ua$utheorem'(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
inference(negate_conjecture,[status(cth)],[prove_cn_23]) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(implies(X0,X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c1,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(clausification,[status(esa)],[cn_1]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(implies(not(X0),X0),X0)),
inference(clausification,[status(esa)],[cn_2]) ).
cnf(c3,plain,
'is$ua$utheorem'(implies(X0,implies(not(X0),X1))),
inference(clausification,[status(esa)],[cn_3]) ).
cnf(c4,plain,
~ 'is$ua$utheorem'(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
~ 'is$ua$utheorem'(implies(implies(y,implies(x,z)),implies(x,implies(y,z)))),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(implies(X1,X2))
| 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d3,plain,
( 'is$ua$utheorem'(implies(implies(X2,X0),X3))
| ~ 'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
( ~ 'is$ua$utheorem'(implies(X2,implies(X1,X3)))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
~ 'is$ua$utheorem'(implies(x,implies(implies(x,z),z))),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d7,plain,
( 'is$ua$utheorem'(implies(implies(X0,X3),X4))
| ~ 'is$ua$utheorem'(implies(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)),X4)) ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( ~ 'is$ua$utheorem'(implies(X0,X3))
| 'is$ua$utheorem'(implies(implies(X3,X1),X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d9,plain,
( 'is$ua$utheorem'(implies(implies(X1,X0),X0))
| ~ 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[d8,c2]) ).
cnf(d10,plain,
( 'is$ua$utheorem'(implies(implies(X2,X0),X0))
| ~ 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d12,plain,
'is$ua$utheorem'(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(resolution,[status(thm)],[d11,c3]) ).
cnf(d13,plain,
( 'is$ua$utheorem'(implies(X0,X3))
| ~ 'is$ua$utheorem'(implies(implies(not(implies(not(X0),X1)),X2),X3)) ),
inference(resolution,[status(thm)],[d12,d2]) ).
cnf(d14,plain,
'is$ua$utheorem'(implies(X0,implies(not(implies(not(implies(not(X0),X1)),X2)),X3))),
inference(resolution,[status(thm)],[d12,d11]) ).
cnf(d15,plain,
'is$ua$utheorem'(implies(X0,implies(not(implies(not(implies(not(implies(not(implies(not(X0),X1)),X2)),X3)),X4)),X5))),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
( 'is$ua$utheorem'(implies(implies(X6,X0),X0))
| ~ 'is$ua$utheorem'(implies(implies(not(implies(not(implies(not(implies(not(implies(not(not(X0)),X1)),X2)),X3)),X4)),X5),X6)) ),
inference(resolution,[status(thm)],[d15,d10]) ).
cnf(d17,plain,
'is$ua$utheorem'(implies(X0,X0)),
inference(resolution,[status(thm)],[d11,c2]) ).
cnf(d18,plain,
( ~ 'is$ua$utheorem'(implies(X3,X0))
| 'is$ua$utheorem'(implies(implies(X1,X2),implies(X3,X2)))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d19,plain,
( 'is$ua$utheorem'(implies(implies(X1,X2),implies(X0,X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(not(X1),X1))) ),
inference(resolution,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d22,plain,
( 'is$ua$utheorem'(implies(X1,X0))
| ~ 'is$ua$utheorem'(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[d9,d11]) ).
cnf(d23,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
( 'is$ua$utheorem'(implies(X2,X1))
| ~ 'is$ua$utheorem'(implies(X0,X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d23,d2]) ).
cnf(d25,plain,
'is$ua$utheorem'(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[d19,d12]) ).
cnf(d26,plain,
( 'is$ua$utheorem'(implies(X3,implies(X0,X2)))
| ~ 'is$ua$utheorem'(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[d26,c2]) ).
cnf(d28,plain,
( 'is$ua$utheorem'(implies(X2,X1))
| ~ 'is$ua$utheorem'(implies(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[d27,d2]) ).
cnf(d29,plain,
'is$ua$utheorem'(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[d28,d20]) ).
cnf(d30,plain,
'is$ua$utheorem'(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[status(thm)],[d29,d16]) ).
cnf(d31,plain,
'is$ua$utheorem'(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[d30,d7]) ).
cnf(d32,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(not(implies(not(implies(not(implies(implies(X1,X2),implies(X0,X2))),X3)),X4)),X5))),
inference(resolution,[status(thm)],[d14,d3]) ).
cnf(d33,plain,
'is$ua$utheorem'(implies(X0,implies(not(implies(not(implies(not(implies(implies(X1,X2),implies(not(implies(not(X0),X3)),X2))),X4)),X5)),X6))),
inference(resolution,[status(thm)],[d32,d13]) ).
cnf(d34,plain,
( ~ 'is$ua$utheorem'(implies(X3,X1))
| 'is$ua$utheorem'(implies(X0,implies(X3,X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d35,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(resolution,[status(thm)],[d11,c1]) ).
cnf(d36,plain,
( 'is$ua$utheorem'(implies(X2,X3))
| ~ 'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(not(X2),X1)),X3)) ),
inference(resolution,[status(thm)],[d35,d2]) ).
cnf(d37,plain,
( 'is$ua$utheorem'(implies(implies(X0,X2),implies(X0,X1)))
| ~ 'is$ua$utheorem'(implies(not(implies(X0,X1)),implies(X2,X1))) ),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d38,plain,
'is$ua$utheorem'(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[d29,d37]) ).
cnf(d39,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[d38,d36]) ).
cnf(d40,plain,
( 'is$ua$utheorem'(implies(X2,implies(X0,X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d39,d34]) ).
cnf(d41,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[d40,d33]) ).
cnf(d42,plain,
( 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d41,d2]) ).
cnf(d43,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[d42,d31]) ).
cnf(d44,plain,
$false,
inference(resolution,[status(thm)],[d43,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL368+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 22:22:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.51/18.48 % SZS status Theorem for theBenchmark.p
% 51.51/18.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------