%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV179+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 2 def)
% Number of atoms : 103 ( 26 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 112 ( 27 ~; 24 |; 41 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(sigma_init,H) = init )
& ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(rho_init,G) = init )
& ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(mu_init,F) = init )
& ! [E] :
( ( leq(E,pred(pv68))
& leq(n0,E) )
=> a_select2(rhoold_init,E) = init )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select2(muold_init,D) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select3(center_init,C,n0) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv68,n4)
& leq(n0,pv68) )
=> a_select2(rho_init,pv68) = init ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(sigma_init,H) = init )
& ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(rho_init,G) = init )
& ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select2(mu_init,F) = init )
& ! [E] :
( ( leq(E,pred(pv68))
& leq(n0,E) )
=> a_select2(rhoold_init,E) = init )
& ! [D] :
( ( leq(D,n4)
& leq(n0,D) )
=> a_select2(muold_init,D) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select3(center_init,C,n0) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& leq(pv68,n4)
& leq(n0,pv68) )
=> a_select2(rho_init,pv68) = init ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
( a_select2(rho_init,pv68) != init
& ! [H] :
( a_select2(sigma_init,H) = init
| ~ leq(H,n4)
| ~ leq(n0,H) )
& ! [G] :
( a_select2(rho_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
& ! [F] :
( a_select2(mu_init,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
& ! [E] :
( a_select2(rhoold_init,E) = init
| ~ leq(E,pred(pv68))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(muold_init,D) = init
| ~ leq(D,n4)
| ~ leq(n0,D) )
& ! [C] :
( a_select3(center_init,C,n0) = init
| ~ leq(C,n4)
| ~ 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(pv68,n4)
& leq(n0,pv68) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
leq(n0,pv68),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
leq(pv68,n4),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f259,plain,
! [X0] :
( a_select2(rho_init,X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f261,plain,
a_select2(rho_init,pv68) != init,
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f380,plain,
( ~ leq(pv68,n4)
| ~ leq(n0,pv68) ),
inference(resolution,[status(thm)],[f259,f261]) ).
fof(f381,definition,
( sQ0_spl
<=> leq(n0,pv68) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ0_spl
| ~ leq(n0,pv68) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
( sQ1_spl
<=> leq(pv68,n4) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( sQ1_spl
| ~ leq(pv68,n4) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f380,f381,f384]) ).
fof(f388,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f252]) ).
fof(f389,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f253]) ).
fof(f391,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f390]) ).
fof(f392,plain,
$false,
inference(sat_refutation,[status(thm)],[f387,f389,f391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV179+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n019.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 08:34:05 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.065707 seconds
% 0.12/0.43 % CPU time: 0.167447 seconds
% 0.12/0.43 % Total memory used: 109.207 MB
% 0.12/0.43 % Net memory used: 109.006 MB
%------------------------------------------------------------------------------