%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL392+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 07:54:29 AM UTC 2026
% Result : Theorem 129.92s 26.37s
% Output : CNFRefutation 129.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 78 ( 36 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 113 ( 58 ~; 53 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 201 ( 41 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_56,conjecture,
'is$ua$utheorem'(implies(implies(implies(implies(x,y),y),z),implies(implies(not(x),y),z))) ).
fof(negated_conjecture,negated_conjecture,
~ 'is$ua$utheorem'(implies(implies(implies(implies(x,y),y),z),implies(implies(not(x),y),z))),
inference(negate_conjecture,[status(cth)],[prove_cn_56]) ).
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(implies(x,y),y),z),implies(implies(not(x),y),z))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(X0)
| 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(implies(X2,X0))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
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)],[d1,c0]) ).
cnf(d3,plain,
( 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,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,d1]) ).
cnf(d5,plain,
( 'is$ua$utheorem'(implies(implies(X1,X0),X0))
| ~ 'is$ua$utheorem'(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
( 'is$ua$utheorem'(implies(X1,X0))
| ~ 'is$ua$utheorem'(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,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(d9,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)],[d5,d8]) ).
cnf(d10,plain,
( ~ 'is$ua$utheorem'(implies(X1,X2))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[d9,d7]) ).
cnf(d11,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)],[d4,d1]) ).
cnf(d12,plain,
( ~ 'is$ua$utheorem'(implies(not(X2),X1))
| 'is$ua$utheorem'(implies(implies(X2,X3),implies(X0,X3)))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( ~ 'is$ua$utheorem'(implies(X3,X0))
| ~ 'is$ua$utheorem'(implies(not(X0),X2))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X2,X3),X1))) ),
inference(resolution,[status(thm)],[d12,d10]) ).
cnf(d14,plain,
( ~ 'is$ua$utheorem'(implies(not(implies(implies(x,y),y)),not(x)))
| ~ 'is$ua$utheorem'(implies(y,implies(implies(x,y),y))) ),
inference(resolution,[status(thm)],[d13,c4]) ).
cnf(d15,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d16,plain,
( 'is$ua$utheorem'(implies(X2,X3))
| ~ 'is$ua$utheorem'(implies(implies(implies(X0,X1),implies(not(X2),X1)),X3)) ),
inference(resolution,[status(thm)],[d15,d2]) ).
cnf(d17,plain,
'is$ua$utheorem'(implies(X0,X0)),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d18,plain,
( 'is$ua$utheorem'(implies(implies(X1,X2),implies(X0,X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(not(X1),X1))) ),
inference(resolution,[status(thm)],[d11,c2]) ).
cnf(d19,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
( 'is$ua$utheorem'(implies(X2,X1))
| ~ 'is$ua$utheorem'(implies(X0,X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d21,plain,
'is$ua$utheorem'(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d22,plain,
'is$ua$utheorem'(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[d18,d21]) ).
cnf(d23,plain,
( 'is$ua$utheorem'(implies(X3,implies(X0,X2)))
| ~ 'is$ua$utheorem'(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[d23,c2]) ).
cnf(d25,plain,
( 'is$ua$utheorem'(implies(X2,X1))
| ~ 'is$ua$utheorem'(implies(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[d24,d2]) ).
cnf(d26,plain,
'is$ua$utheorem'(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[d25,d19]) ).
cnf(d27,plain,
'is$ua$utheorem'(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[d26,d9]) ).
cnf(d28,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[d27,d16]) ).
cnf(d29,plain,
~ 'is$ua$utheorem'(implies(not(implies(implies(x,y),y)),not(x))),
inference(resolution,[status(thm)],[d28,d14]) ).
cnf(d30,plain,
( ~ 'is$ua$utheorem'(implies(X1,not(X0)))
| 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d31,plain,
( 'is$ua$utheorem'(implies(X1,X3))
| ~ 'is$ua$utheorem'(implies(implies(X0,X2),X3))
| ~ 'is$ua$utheorem'(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[d30,d2]) ).
cnf(d32,plain,
( ~ 'is$ua$utheorem'(implies(not(X1),X2))
| ~ 'is$ua$utheorem'(implies(X2,not(X0)))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d31,d5]) ).
cnf(d33,plain,
( 'is$ua$utheorem'(implies(X0,X3))
| ~ 'is$ua$utheorem'(implies(implies(not(implies(not(X0),X1)),X2),X3)) ),
inference(resolution,[status(thm)],[d21,d2]) ).
cnf(d34,plain,
( ~ 'is$ua$utheorem'(implies(not(X1),not(implies(not(X0),X2))))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d33,d5]) ).
cnf(d35,plain,
( ~ 'is$ua$utheorem'(implies(X0,implies(not(X1),X1)))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d27,c0]) ).
cnf(d36,plain,
'is$ua$utheorem'(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(resolution,[status(thm)],[d9,c3]) ).
cnf(d37,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(not(implies(implies(X1,X2),implies(X0,X2))),X3))),
inference(resolution,[status(thm)],[d8,c3]) ).
cnf(d38,plain,
'is$ua$utheorem'(implies(X0,implies(not(implies(not(implies(not(X0),X1)),X2)),X3))),
inference(resolution,[status(thm)],[d21,d3]) ).
cnf(d39,plain,
( 'is$ua$utheorem'(implies(X0,X4))
| ~ 'is$ua$utheorem'(implies(implies(not(implies(not(implies(not(X0),X1)),X2)),X3),X4)) ),
inference(resolution,[status(thm)],[d38,d2]) ).
cnf(d40,plain,
'is$ua$utheorem'(implies(X0,implies(not(implies(implies(X1,X2),implies(not(implies(not(implies(not(X0),X3)),X4)),X2))),X5))),
inference(resolution,[status(thm)],[d39,d37]) ).
cnf(d41,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)],[d8,d1]) ).
cnf(d42,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)],[d41,c0]) ).
cnf(d43,plain,
( 'is$ua$utheorem'(implies(X2,implies(X0,X2)))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d28,d42]) ).
cnf(d44,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[d43,d40]) ).
cnf(d45,plain,
( 'is$ua$utheorem'(implies(X1,X2))
| ~ 'is$ua$utheorem'(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d44,d2]) ).
cnf(d46,plain,
'is$ua$utheorem'(implies(not(not(implies(X0,X1))),implies(X0,X1))),
inference(resolution,[status(thm)],[d45,d36]) ).
cnf(d47,plain,
'is$ua$utheorem'(implies(not(not(implies(not(X0),X0))),X0)),
inference(resolution,[status(thm)],[d46,d35]) ).
cnf(d48,plain,
'is$ua$utheorem'(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(resolution,[status(thm)],[d47,d6]) ).
cnf(d49,plain,
'is$ua$utheorem'(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[d48,d34]) ).
cnf(d50,plain,
( 'is$ua$utheorem'(implies(X1,not(X0)))
| ~ 'is$ua$utheorem'(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[d49,d32]) ).
cnf(d51,plain,
( 'is$ua$utheorem'(implies(implies(implies(not(X1),X2),X3),implies(X0,X3)))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d11,c3]) ).
cnf(d52,plain,
( ~ 'is$ua$utheorem'(implies(implies(not(X1),X3),X2))
| 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d51,c0]) ).
cnf(d53,plain,
( ~ 'is$ua$utheorem'(implies(not(X0),not(implies(not(X2),X3))))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[d12,d21]) ).
cnf(d54,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(not(not(X0)),X1))),
inference(resolution,[status(thm)],[d48,d53]) ).
cnf(d55,plain,
'is$ua$utheorem'(implies(implies(X0,not(X0)),not(X0))),
inference(resolution,[status(thm)],[d54,d35]) ).
cnf(d56,plain,
( ~ 'is$ua$utheorem'(implies(X0,X1))
| 'is$ua$utheorem'(implies(X0,not(not(X1)))) ),
inference(resolution,[status(thm)],[d55,d52]) ).
cnf(d57,plain,
( 'is$ua$utheorem'(implies(not(X1),not(X0)))
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d56,d50]) ).
cnf(d58,plain,
~ 'is$ua$utheorem'(implies(x,implies(implies(x,y),y))),
inference(resolution,[status(thm)],[d57,d29]) ).
cnf(d59,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(resolution,[status(thm)],[d8,c1]) ).
cnf(d60,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)],[d59,d2]) ).
cnf(d61,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)],[d5,d4]) ).
cnf(d62,plain,
( 'is$ua$utheorem'(implies(implies(X4,X0),X0))
| ~ 'is$ua$utheorem'(implies(implies(not(implies(not(implies(not(not(X0)),X1)),X2)),X3),X4)) ),
inference(resolution,[status(thm)],[d61,d38]) ).
cnf(d63,plain,
'is$ua$utheorem'(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[status(thm)],[d26,d62]) ).
cnf(d64,plain,
'is$ua$utheorem'(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[d63,d60]) ).
cnf(d65,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[d45,d64]) ).
cnf(d66,plain,
$false,
inference(resolution,[status(thm)],[d65,d58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL392+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n020.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Fri Sep 25 22:26:10 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 129.92/26.37 % SZS status Theorem for theBenchmark.p
% 129.92/26.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------