%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT292+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 07:48:09 AM UTC 2026
% Result : Theorem 21.65s 3.29s
% Output : CNFRefutation 21.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 201 ( 7 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 258 ( 104 ~; 114 |; 34 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d9_lopclset,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'k12$ulopclset'(X0) = 'k6$ulopclset'('k11$ulopclset'(X0)) ) ).
fof(dt_k11_lopclset,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ( 'l1$upre$utopc'('k11$ulopclset'(X0))
& 'v2$upre$utopc'('k11$ulopclset'(X0))
& 'v1$upre$utopc'('k11$ulopclset'(X0)) ) ) ).
fof(fc4_lopclset,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ( 'v2$upre$utopc'('k11$ulopclset'(X0))
& 'v1$upre$utopc'('k11$ulopclset'(X0))
& ~ 'v3$ustruct$u0'('k11$ulopclset'(X0)) ) ) ).
fof(t43_lopclset,axiom,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'r1$ufilter$u1'(X0,'k12$ulopclset'(X0)) ) ).
fof(t44_lopclset,conjecture,
! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ? [X1] :
( 'r1$ufilter$u1'(X0,'k6$ulopclset'(X1))
& 'l1$upre$utopc'(X1)
& 'v2$upre$utopc'(X1)
& ~ 'v3$ustruct$u0'(X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l3$ulattices'(X0)
& ~ 'v3$urealset2'(X0)
& 'v17$ulattices'(X0)
& 'v10$ulattices'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ? [X1] :
( 'r1$ufilter$u1'(X0,'k6$ulopclset'(X1))
& 'l1$upre$utopc'(X1)
& 'v2$upre$utopc'(X1)
& ~ 'v3$ustruct$u0'(X1) ) ),
inference(negate_conjecture,[status(cth)],[t44_lopclset]) ).
cnf(c96,plain,
( 'v3$urealset2'(X0)
| ~ 'l3$ulattices'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v10$ulattices'(X0)
| 'k12$ulopclset'(X0) = 'k6$ulopclset'('k11$ulopclset'(X0))
| ~ 'v17$ulattices'(X0) ),
inference(clausification,[status(esa)],[d9_lopclset]) ).
cnf(c102,plain,
( ~ 'v17$ulattices'(X0)
| ~ 'v10$ulattices'(X0)
| 'v2$upre$utopc'('k11$ulopclset'(X0))
| 'v3$ustruct$u0'(X0)
| ~ 'l3$ulattices'(X0)
| 'v3$urealset2'(X0) ),
inference(clausification,[status(esa)],[dt_k11_lopclset]) ).
cnf(c103,plain,
( ~ 'v17$ulattices'(X0)
| ~ 'v10$ulattices'(X0)
| 'v3$ustruct$u0'(X0)
| 'l1$upre$utopc'('k11$ulopclset'(X0))
| ~ 'l3$ulattices'(X0)
| 'v3$urealset2'(X0) ),
inference(clausification,[status(esa)],[dt_k11_lopclset]) ).
cnf(c147,plain,
( ~ 'l3$ulattices'(X0)
| ~ 'v3$ustruct$u0'('k11$ulopclset'(X0))
| ~ 'v10$ulattices'(X0)
| ~ 'v17$ulattices'(X0)
| 'v3$urealset2'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[fc4_lopclset]) ).
cnf(c306,plain,
( 'r1$ufilter$u1'(X0,'k12$ulopclset'(X0))
| ~ 'v17$ulattices'(X0)
| 'v3$urealset2'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'l3$ulattices'(X0)
| ~ 'v10$ulattices'(X0) ),
inference(clausification,[status(esa)],[t43_lopclset]) ).
cnf(c312,plain,
~ 'v3$ustruct$u0'(sK179),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c313,plain,
'v10$ulattices'(sK179),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c314,plain,
'v17$ulattices'(sK179),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c315,plain,
~ 'v3$urealset2'(sK179),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c316,plain,
'l3$ulattices'(sK179),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c317,plain,
( ~ 'r1$ufilter$u1'(sK179,'k6$ulopclset'(X0))
| ~ 'l1$upre$utopc'(X0)
| ~ 'v2$upre$utopc'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'v3$urealset2'(sK179)
| 'v3$ustruct$u0'(sK179)
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179)
| 'k12$ulopclset'(sK179) = 'k6$ulopclset'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c96,c314]) ).
cnf(d1,plain,
( 'v3$urealset2'(sK179)
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179)
| 'k12$ulopclset'(sK179) = 'k6$ulopclset'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c312,d0]) ).
cnf(d2,plain,
( 'v3$urealset2'(sK179)
| ~ 'l3$ulattices'(sK179)
| 'k12$ulopclset'(sK179) = 'k6$ulopclset'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c313,d1]) ).
cnf(d3,plain,
( ~ 'l3$ulattices'(sK179)
| 'k12$ulopclset'(sK179) = 'k6$ulopclset'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c315,d2]) ).
cnf(d4,plain,
'k12$ulopclset'(sK179) = 'k6$ulopclset'('k11$ulopclset'(sK179)),
inference(resolution,[status(thm)],[c316,d3]) ).
cnf(d5,plain,
( ~ 'v2$upre$utopc'('k11$ulopclset'(sK179))
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179))
| ~ 'r1$ufilter$u1'(sK179,'k12$ulopclset'(sK179)) ),
inference(superposition,[status(thm)],[d4,c317]) ).
cnf(d6,plain,
( ~ 'v2$upre$utopc'('k11$ulopclset'(sK179))
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179))
| 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'(sK179)
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179) ),
inference(resolution,[status(thm)],[c306,d5]) ).
cnf(d7,plain,
( 'v3$urealset2'(sK179)
| ~ 'v2$upre$utopc'('k11$ulopclset'(sK179))
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179)
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c312,d6]) ).
cnf(d8,plain,
( 'v3$urealset2'(sK179)
| ~ 'v2$upre$utopc'('k11$ulopclset'(sK179))
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l3$ulattices'(sK179)
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c313,d7]) ).
cnf(d9,plain,
( 'v3$urealset2'(sK179)
| ~ 'v2$upre$utopc'('k11$ulopclset'(sK179))
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l3$ulattices'(sK179)
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c314,d8]) ).
cnf(d10,plain,
( ~ 'v2$upre$utopc'('k11$ulopclset'(sK179))
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l3$ulattices'(sK179)
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c315,d9]) ).
cnf(d11,plain,
( ~ 'v2$upre$utopc'('k11$ulopclset'(sK179))
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c316,d10]) ).
cnf(d12,plain,
( 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'(sK179)
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[d11,c102]) ).
cnf(d13,plain,
( 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179)
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c312,d12]) ).
cnf(d14,plain,
( 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l3$ulattices'(sK179)
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c313,d13]) ).
cnf(d15,plain,
( 'v3$urealset2'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l3$ulattices'(sK179)
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c314,d14]) ).
cnf(d16,plain,
( 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l3$ulattices'(sK179)
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c315,d15]) ).
cnf(d17,plain,
( 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l1$upre$utopc'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[c316,d16]) ).
cnf(d18,plain,
( 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'(sK179)
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179)) ),
inference(resolution,[status(thm)],[d17,c103]) ).
cnf(d19,plain,
( 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179) ),
inference(resolution,[status(thm)],[c312,d18]) ).
cnf(d20,plain,
( 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l3$ulattices'(sK179) ),
inference(resolution,[status(thm)],[c313,d19]) ).
cnf(d21,plain,
( 'v3$urealset2'(sK179)
| 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l3$ulattices'(sK179) ),
inference(resolution,[status(thm)],[c314,d20]) ).
cnf(d22,plain,
( 'v3$ustruct$u0'('k11$ulopclset'(sK179))
| ~ 'l3$ulattices'(sK179) ),
inference(resolution,[status(thm)],[c315,d21]) ).
cnf(d23,plain,
'v3$ustruct$u0'('k11$ulopclset'(sK179)),
inference(resolution,[status(thm)],[c316,d22]) ).
cnf(d24,plain,
( 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| 'v3$ustruct$u0'(sK179)
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179) ),
inference(resolution,[status(thm)],[d23,c147]) ).
cnf(d25,plain,
( 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| ~ 'v10$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179) ),
inference(resolution,[status(thm)],[c312,d24]) ).
cnf(d26,plain,
( 'v3$urealset2'(sK179)
| ~ 'v17$ulattices'(sK179)
| ~ 'l3$ulattices'(sK179) ),
inference(resolution,[status(thm)],[c313,d25]) ).
cnf(d27,plain,
( 'v3$urealset2'(sK179)
| ~ 'l3$ulattices'(sK179) ),
inference(resolution,[status(thm)],[c314,d26]) ).
cnf(d28,plain,
~ 'l3$ulattices'(sK179),
inference(resolution,[status(thm)],[c315,d27]) ).
cnf(d29,plain,
$false,
inference(resolution,[status(thm)],[c316,d28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT292+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 20:32:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.65/3.29 % SZS status Theorem for theBenchmark.p
% 21.65/3.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------