%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV067+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 09:01:21 AM UTC 2026
% Result : Theorem 14.59s 2.83s
% Output : CNFRefutation 14.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 75 ( 25 ~; 18 |; 22 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gt_1_0,axiom,
gt(n1,n0) ).
fof(transitivity_gt,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ).
fof(transitivity_leq,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ).
fof(leq_gt_pred,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ) ).
fof(gt_succ,axiom,
! [X0] : gt(succ(X0),X0) ).
fof(leq_succ_gt_equiv,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ) ).
fof(cl5_nebula_array_0008,conjecture,
( ( leq(pv63,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n1,pv63)
& leq(n0,pv10) )
=> ( ( gt('a$uselect3'(q,pv10,pv63),pv78)
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) )
& ( ~ gt('a$uselect3'(q,pv10,pv63),pv78)
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) )
& leq(pv63,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv63)
& leq(n0,pv10) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( leq(pv63,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n1,pv63)
& leq(n0,pv10) )
=> ( ( gt('a$uselect3'(q,pv10,pv63),pv78)
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) )
& ( ~ gt('a$uselect3'(q,pv10,pv63),pv78)
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ) )
& leq(pv63,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv63)
& leq(n0,pv10) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0008]) ).
cnf(c13,plain,
gt(n1,n0),
inference(clausification,[status(esa)],[gt_1_0]) ).
cnf(c40,plain,
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_gt]) ).
cnf(c43,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_leq]) ).
cnf(c50,plain,
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c51,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c52,plain,
gt(succ(X0),X0),
inference(clausification,[status(esa)],[gt_succ]) ).
cnf(c55,plain,
( ~ gt(succ(X1),X0)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_succ_gt_equiv]) ).
cnf(c163,plain,
leq(n0,pv10),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c164,plain,
leq(n1,pv63),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
leq(pv10,minus(n135300,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c166,plain,
leq(pv63,minus(n5,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c170,plain,
( ~ leq(pv63,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv63)
| ~ leq(n0,pv10) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( leq(n1,X0)
| ~ leq(pv63,X0) ),
inference(resolution,[status(thm)],[c43,c164]) ).
cnf(d1,plain,
( leq(n1,pred(X0))
| ~ gt(X0,pv63) ),
inference(resolution,[status(thm)],[c51,d0]) ).
cnf(d2,plain,
( gt(X0,n1)
| ~ gt(X0,pv63) ),
inference(resolution,[status(thm)],[d1,c50]) ).
cnf(d3,plain,
gt(succ(pv63),n1),
inference(resolution,[status(thm)],[d2,c52]) ).
cnf(d4,plain,
( gt(succ(pv63),X0)
| ~ gt(n1,X0) ),
inference(resolution,[status(thm)],[d3,c40]) ).
cnf(d5,plain,
( leq(X0,pv63)
| ~ gt(n1,X0) ),
inference(resolution,[status(thm)],[d4,c55]) ).
cnf(d6,plain,
leq(n0,pv63),
inference(resolution,[status(thm)],[d5,c13]) ).
cnf(d7,plain,
( ~ leq(pv63,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv63) ),
inference(resolution,[status(thm)],[c163,c170]) ).
cnf(d8,plain,
( ~ leq(pv63,minus(n5,n1))
| ~ leq(n0,pv63) ),
inference(resolution,[status(thm)],[c165,d7]) ).
cnf(d9,plain,
~ leq(n0,pv63),
inference(resolution,[status(thm)],[c166,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV067+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 13:10:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.59/2.83 % SZS status Theorem for theBenchmark.p
% 14.59/2.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------