%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV106+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 : n007.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 02:46:39 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 82 ( 21 equ)
% Maximal formula atoms : 26 ( 11 avg)
% Number of connectives : 96 ( 21 ~; 18 |; 41 &)
% ( 0 <=>; 16 =>; 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 : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ! [H,I] :
( ( leq(I,minus(n_steps,n1))
& leq(H,minus(m_measvars,n1))
& leq(n0,I)
& leq(n0,H) )
=> a_select3(z_defuse,H,I) = use )
& ! [G] :
( ( leq(G,minus(n_statevars,n1))
& leq(n0,G) )
=> a_select2(xinit_noise_defuse,G) = 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,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(u_defuse,C,D) = use )
& ! [B] :
( ( leq(B,minus(n_statevars,n1))
& leq(n0,B) )
=> a_select2(sigma_defuse,B) = use )
& ! [A] :
( ( leq(A,minus(m_measvars,n1))
& leq(n0,A) )
=> a_select2(rho_defuse,A) = use ) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [H,I] :
( ( leq(I,minus(n_steps,n1))
& leq(H,minus(m_measvars,n1))
& leq(n0,I)
& leq(n0,H) )
=> a_select3(z_defuse,H,I) = use )
& ! [G] :
( ( leq(G,minus(n_statevars,n1))
& leq(n0,G) )
=> a_select2(xinit_noise_defuse,G) = 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,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(u_defuse,C,D) = use )
& ! [B] :
( ( leq(B,minus(n_statevars,n1))
& leq(n0,B) )
=> a_select2(sigma_defuse,B) = use )
& ! [A] :
( ( leq(A,minus(m_measvars,n1))
& leq(n0,A) )
=> a_select2(rho_defuse,A) = use ) )
=> true ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f242,plain,
true,
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f244,plain,
( ~ true
& ! [H,I] :
( a_select3(z_defuse,H,I) = use
| ~ leq(I,minus(n_steps,n1))
| ~ leq(H,minus(m_measvars,n1))
| ~ leq(n0,I)
| ~ leq(n0,H) )
& ! [G] :
( a_select2(xinit_noise_defuse,G) = use
| ~ leq(G,minus(n_statevars,n1))
| ~ 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(u_defuse,C,D) = use
| ~ leq(D,minus(n_steps,n1))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [B] :
( a_select2(sigma_defuse,B) = use
| ~ leq(B,minus(n_statevars,n1))
| ~ leq(n0,B) )
& ! [A] :
( a_select2(rho_defuse,A) = use
| ~ leq(A,minus(m_measvars,n1))
| ~ leq(n0,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
~ true,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f329,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f242,f252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV106+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:29:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.042466 seconds
% 0.09/0.41 % CPU time: 0.121433 seconds
% 0.09/0.41 % Total memory used: 68.011 MB
% 0.09/0.41 % Net memory used: 67.893 MB
%------------------------------------------------------------------------------