TSTP Solution File: SWV106+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV106+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 20:30:09 EDT 2022
% Result : Theorem 0.40s 0.59s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 108 ( 28 equ)
% Maximal formula atoms : 26 ( 13 avg)
% Number of connectives : 120 ( 20 ~; 18 |; 58 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 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 : 36 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ttrue,axiom,
true ).
fof(quaternion_ds1_inuse_0018,conjecture,
( ( ! [A] :
( ( leq(n0,A)
& leq(A,minus(m_measvars,n1)) )
=> a_select2(rho_defuse,A) = use )
& ! [B] :
( ( leq(n0,B)
& leq(B,minus(n_statevars,n1)) )
=> a_select2(sigma_defuse,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,minus(n_steps,n1)) )
=> a_select3(u_defuse,C,D) = use )
& ! [E] :
( ( leq(n0,E)
& leq(E,minus(n_statevars,n1)) )
=> a_select2(xinit_defuse,E) = use )
& ! [F] :
( ( leq(n0,F)
& leq(F,minus(n_statevars,n1)) )
=> a_select2(xinit_mean_defuse,F) = use )
& ! [G] :
( ( leq(n0,G)
& leq(G,minus(n_statevars,n1)) )
=> a_select2(xinit_noise_defuse,G) = use )
& ! [H,I] :
( ( leq(n0,H)
& leq(n0,I)
& leq(H,minus(m_measvars,n1))
& leq(I,minus(n_steps,n1)) )
=> a_select3(z_defuse,H,I) = use ) )
=> true ) ).
fof(subgoal_0,plain,
( ( ! [A] :
( ( leq(n0,A)
& leq(A,minus(m_measvars,n1)) )
=> a_select2(rho_defuse,A) = use )
& ! [B] :
( ( leq(n0,B)
& leq(B,minus(n_statevars,n1)) )
=> a_select2(sigma_defuse,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,minus(n_steps,n1)) )
=> a_select3(u_defuse,C,D) = use )
& ! [E] :
( ( leq(n0,E)
& leq(E,minus(n_statevars,n1)) )
=> a_select2(xinit_defuse,E) = use )
& ! [F] :
( ( leq(n0,F)
& leq(F,minus(n_statevars,n1)) )
=> a_select2(xinit_mean_defuse,F) = use )
& ! [G] :
( ( leq(n0,G)
& leq(G,minus(n_statevars,n1)) )
=> a_select2(xinit_noise_defuse,G) = use )
& ! [H,I] :
( ( leq(n0,H)
& leq(n0,I)
& leq(H,minus(m_measvars,n1))
& leq(I,minus(n_steps,n1)) )
=> a_select3(z_defuse,H,I) = use ) )
=> true ),
inference(strip,[],[quaternion_ds1_inuse_0018]) ).
fof(negate_0_0,plain,
~ ( ( ! [A] :
( ( leq(n0,A)
& leq(A,minus(m_measvars,n1)) )
=> a_select2(rho_defuse,A) = use )
& ! [B] :
( ( leq(n0,B)
& leq(B,minus(n_statevars,n1)) )
=> a_select2(sigma_defuse,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,minus(n_steps,n1)) )
=> a_select3(u_defuse,C,D) = use )
& ! [E] :
( ( leq(n0,E)
& leq(E,minus(n_statevars,n1)) )
=> a_select2(xinit_defuse,E) = use )
& ! [F] :
( ( leq(n0,F)
& leq(F,minus(n_statevars,n1)) )
=> a_select2(xinit_mean_defuse,F) = use )
& ! [G] :
( ( leq(n0,G)
& leq(G,minus(n_statevars,n1)) )
=> a_select2(xinit_noise_defuse,G) = use )
& ! [H,I] :
( ( leq(n0,H)
& leq(n0,I)
& leq(H,minus(m_measvars,n1))
& leq(I,minus(n_steps,n1)) )
=> a_select3(z_defuse,H,I) = use ) )
=> true ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ true
& ! [A] :
( ~ leq(A,minus(m_measvars,n1))
| ~ leq(n0,A)
| a_select2(rho_defuse,A) = use )
& ! [B] :
( ~ leq(B,minus(n_statevars,n1))
| ~ leq(n0,B)
| a_select2(sigma_defuse,B) = use )
& ! [E] :
( ~ leq(E,minus(n_statevars,n1))
| ~ leq(n0,E)
| a_select2(xinit_defuse,E) = use )
& ! [F] :
( ~ leq(F,minus(n_statevars,n1))
| ~ leq(n0,F)
| a_select2(xinit_mean_defuse,F) = use )
& ! [G] :
( ~ leq(G,minus(n_statevars,n1))
| ~ leq(n0,G)
| a_select2(xinit_noise_defuse,G) = use )
& ! [C,D] :
( ~ leq(C,n2)
| ~ leq(D,minus(n_steps,n1))
| ~ leq(n0,C)
| ~ leq(n0,D)
| a_select3(u_defuse,C,D) = use )
& ! [H,I] :
( ~ leq(H,minus(m_measvars,n1))
| ~ leq(I,minus(n_steps,n1))
| ~ leq(n0,H)
| ~ leq(n0,I)
| a_select3(z_defuse,H,I) = use ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
true,
inference(canonicalize,[],[ttrue]) ).
fof(normalize_0_2,plain,
$false,
inference(simplify,[],[normalize_0_0,normalize_0_1]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV106+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 20:12:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.59
% 0.40/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.40/0.59
%------------------------------------------------------------------------------