%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV175+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 : n018.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 02:46:49 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 105 ( 23 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 125 ( 34 ~; 27 |; 42 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = init )
& ! [C] :
( ( leq(C,pred(pv28))
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv30,n135299)
& leq(pv28,n4)
& leq(n0,pv30)
& leq(n0,pv28) )
=> a_select3(q_init,pv30,pv28) = init ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(sigmaold_init,G) = init ) )
& ( gt(loopcounter,n1)
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(rhoold_init,F) = init ) )
& ( gt(loopcounter,n1)
=> ! [E] :
( ( leq(E,n4)
& leq(n0,E) )
=> a_select2(muold_init,E) = init ) )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select3(center_init,D,n0) = init )
& ! [C] :
( ( leq(C,pred(pv28))
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv30,n135299)
& leq(pv28,n4)
& leq(n0,pv30)
& leq(n0,pv28) )
=> a_select3(q_init,pv30,pv28) = init ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( a_select3(q_init,pv30,pv28) != init
& ( ! [G] :
( a_select2(sigmaold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ( ! [F] :
( a_select2(rhoold_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ gt(loopcounter,n1) )
& ( ! [E] :
( a_select2(muold_init,E) = init
| ~ leq(E,n4)
| ~ leq(n0,E) )
| ~ gt(loopcounter,n1) )
& ! [D] :
( a_select3(center_init,D,n0) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(rho_init,C) = init
| ~ leq(C,pred(pv28))
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B) )
| ~ leq(A,n135299)
| ~ leq(n0,A) )
& leq(pv30,n135299)
& leq(pv28,n4)
& leq(n0,pv30)
& leq(n0,pv28) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
leq(n0,pv28),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
leq(n0,pv30),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f254,plain,
leq(pv28,n4),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f255,plain,
leq(pv30,n135299),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f256,plain,
! [X0,X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ leq(X0,n135299)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f262,plain,
a_select3(q_init,pv30,pv28) != init,
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f354,plain,
( ~ leq(pv28,n4)
| ~ leq(n0,pv28)
| ~ leq(pv30,n135299)
| ~ leq(n0,pv30) ),
inference(resolution,[status(thm)],[f256,f262]) ).
fof(f355,plain,
( ~ leq(pv28,n4)
| ~ leq(n0,pv28)
| ~ leq(pv30,n135299) ),
inference(forward_subsumption_resolution,[status(thm)],[f354,f253]) ).
fof(f358,plain,
( ~ leq(pv28,n4)
| ~ leq(n0,pv28) ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f255]) ).
fof(f359,plain,
~ leq(pv28,n4),
inference(resolution,[status(thm)],[f358,f252]) ).
fof(f363,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f359,f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV175+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.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 : Mon Sep 21 08:35:43 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.45 % Elapsed time: 0.065921 seconds
% 0.10/0.45 % CPU time: 0.173872 seconds
% 0.10/0.45 % Total memory used: 109.124 MB
% 0.10/0.45 % Net memory used: 108.940 MB
%------------------------------------------------------------------------------