%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV128+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 : 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 02:46:42 PM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 76 ( 21 equ)
% Maximal formula atoms : 24 ( 10 avg)
% Number of connectives : 88 ( 19 ~; 16 |; 41 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ! [G,H] :
( ( leq(H,minus(n_steps,n1))
& leq(G,minus(m_measvars,n1))
& leq(n0,H)
& leq(n0,G) )
=> a_select3(z_defuse,G,H) = use )
& ! [F] :
( ( leq(F,minus(n_statevars,n1))
& leq(n0,F) )
=> a_select2(xinit_mean_defuse,F) = use )
& ! [E] :
( ( leq(E,minus(n_statevars,n1))
& leq(n0,E) )
=> a_select2(xinit_defuse,E) = use )
& ! [C,D] :
( ( leq(D,minus(n_steps,n1))
& leq(C,n7)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(tr_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,minus(n_steps,n1))
& leq(A,minus(m_measvars,n1))
& leq(n0,B)
& leq(n0,A) )
=> a_select3(rho_defuse,A,B) = use )
& tvar_defuse = use
& t_defuse = use )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [G,H] :
( ( leq(H,minus(n_steps,n1))
& leq(G,minus(m_measvars,n1))
& leq(n0,H)
& leq(n0,G) )
=> a_select3(z_defuse,G,H) = use )
& ! [F] :
( ( leq(F,minus(n_statevars,n1))
& leq(n0,F) )
=> a_select2(xinit_mean_defuse,F) = use )
& ! [E] :
( ( leq(E,minus(n_statevars,n1))
& leq(n0,E) )
=> a_select2(xinit_defuse,E) = use )
& ! [C,D] :
( ( leq(D,minus(n_steps,n1))
& leq(C,n7)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(tr_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,minus(n_steps,n1))
& leq(A,minus(m_measvars,n1))
& leq(n0,B)
& leq(n0,A) )
=> a_select3(rho_defuse,A,B) = use )
& tvar_defuse = use
& t_defuse = use )
=> true ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f249,plain,
true,
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f251,plain,
( ~ true
& ! [G,H] :
( a_select3(z_defuse,G,H) = use
| ~ leq(H,minus(n_steps,n1))
| ~ leq(G,minus(m_measvars,n1))
| ~ leq(n0,H)
| ~ leq(n0,G) )
& ! [F] :
( a_select2(xinit_mean_defuse,F) = use
| ~ leq(F,minus(n_statevars,n1))
| ~ leq(n0,F) )
& ! [E] :
( a_select2(xinit_defuse,E) = use
| ~ leq(E,minus(n_statevars,n1))
| ~ leq(n0,E) )
& ! [C,D] :
( a_select3(tr_defuse,C,D) = use
| ~ leq(D,minus(n_steps,n1))
| ~ leq(C,n7)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(rho_defuse,A,B) = use
| ~ leq(B,minus(n_steps,n1))
| ~ leq(A,minus(m_measvars,n1))
| ~ leq(n0,B)
| ~ leq(n0,A) )
& tvar_defuse = use
& t_defuse = use ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f259,plain,
~ true,
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f344,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f249,f259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV128+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 08:34:14 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.50 % Elapsed time: 0.064499 seconds
% 0.16/0.50 % CPU time: 0.151671 seconds
% 0.16/0.50 % Total memory used: 40.897 MB
% 0.16/0.50 % Net memory used: 40.827 MB
%------------------------------------------------------------------------------