%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV169+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(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 : Thu Sep 24 02:46:48 PM UTC 2026
% Result : Theorem 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 94 ( 20 equ)
% Maximal formula atoms : 28 ( 9 avg)
% Number of connectives : 109 ( 25 ~; 20 |; 48 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select3(center_init,G,n0) = init )
& ! [E] :
( ( leq(E,pred(pv10))
& leq(n0,E) )
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(q_init,E,F) = init ) )
& ! [C,D] :
( ( leq(D,n4)
& leq(C,n135299)
& leq(n0,D)
& leq(n0,C) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [A,B] :
( ( leq(B,n4)
& leq(A,n135299)
& leq(n0,B)
& leq(n0,A) )
=> ( ( gt(pv11,B)
& A = pv10 )
=> a_select3(q_init,A,B) = init ) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) )
=> a_select3(center_init,pv65,n0) = init ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select3(center_init,G,n0) = init )
& ! [E] :
( ( leq(E,pred(pv10))
& leq(n0,E) )
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(q_init,E,F) = init ) )
& ! [C,D] :
( ( leq(D,n4)
& leq(C,n135299)
& leq(n0,D)
& leq(n0,C) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [A,B] :
( ( leq(B,n4)
& leq(A,n135299)
& leq(n0,B)
& leq(n0,A) )
=> ( ( gt(pv11,B)
& A = pv10 )
=> a_select3(q_init,A,B) = init ) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) )
=> a_select3(center_init,pv65,n0) = init ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( a_select3(center_init,pv65,n0) != init
& ! [G] :
( a_select3(center_init,G,n0) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
& ! [E] :
( ! [F] :
( a_select3(q_init,E,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ leq(E,pred(pv10))
| ~ leq(n0,E) )
& ! [C,D] :
( a_select3(q_init,C,D) = init
| ~ gt(pv10,C)
| ~ leq(D,n4)
| ~ leq(C,n135299)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(q_init,A,B) = init
| ~ gt(pv11,B)
| A != pv10
| ~ leq(B,n4)
| ~ leq(A,n135299)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f254,plain,
leq(n0,pv65),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f257,plain,
leq(pv65,n4),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f261,plain,
! [X0] :
( a_select3(center_init,X0,n0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f262,plain,
a_select3(center_init,pv65,n0) != init,
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f358,plain,
( ~ leq(pv65,n4)
| ~ leq(n0,pv65) ),
inference(resolution,[status(thm)],[f261,f262]) ).
fof(f359,plain,
~ leq(pv65,n4),
inference(forward_subsumption_resolution,[status(thm)],[f358,f254]) ).
fof(f360,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f359,f257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV169+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:33:34 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.42 % Elapsed time: 0.054386 seconds
% 0.15/0.42 % CPU time: 0.155004 seconds
% 0.15/0.42 % Total memory used: 88.640 MB
% 0.15/0.42 % Net memory used: 88.481 MB
%------------------------------------------------------------------------------