TSTP Solution File: SWV209+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV209+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 : 300s
% DateTime : Wed May 31 12:40:55 EDT 2023
% Result : Theorem 0.17s 0.43s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 17 unt; 0 def)
% Number of atoms : 281 ( 175 equ)
% Maximal formula atoms : 40 ( 4 avg)
% Number of connectives : 291 ( 69 ~; 73 |; 133 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 22 (; 21 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,n998) )
=> a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n998) )
=> a_select3(z_defuse,C,D) = use ) )
=> ! [E] :
( ( leq(n0,E)
& leq(E,n5) )
=> a_select2(xinit_noise_defuse,E) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,n998) )
=> a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n998) )
=> a_select3(z_defuse,C,D) = use ) )
=> ! [E] :
( ( leq(n0,E)
& leq(E,n5) )
=> a_select2(xinit_noise_defuse,E) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f84,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n5) )
=> ( X = n0
| X = n1
| X = n2
| X = n3
| X = n4
| X = n5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f251,plain,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n2)
| ~ leq(B,n998)
| a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,n998)
| a_select3(z_defuse,C,D) = use )
& ? [E] :
( leq(n0,E)
& leq(E,n5)
& a_select2(xinit_noise_defuse,E) != use ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f252,plain,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n2)
| ~ leq(B,n998)
| a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,n998)
| a_select3(z_defuse,C,D) = use )
& leq(n0,sk0_23)
& leq(sk0_23,n5)
& a_select2(xinit_noise_defuse,sk0_23) != use ),
inference(skolemization,[status(esa)],[f251]) ).
fof(f274,plain,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f275,plain,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f276,plain,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f277,plain,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f278,plain,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f279,plain,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f282,plain,
leq(n0,sk0_23),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f283,plain,
leq(sk0_23,n5),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f284,plain,
a_select2(xinit_noise_defuse,sk0_23) != use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f315,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n5)
| X = n0
| X = n1
| X = n2
| X = n3
| X = n4
| X = n5 ),
inference(pre_NNF_transformation,[status(esa)],[f84]) ).
fof(f316,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5 ),
inference(cnf_transformation,[status(esa)],[f315]) ).
fof(f475,plain,
( spl0_16
<=> sk0_23 = n0 ),
introduced(split_symbol_definition) ).
fof(f476,plain,
( sk0_23 = n0
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( spl0_17
<=> sk0_23 = n1 ),
introduced(split_symbol_definition) ).
fof(f479,plain,
( sk0_23 = n1
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( spl0_18
<=> sk0_23 = n2 ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( sk0_23 = n2
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( spl0_19
<=> sk0_23 = n3 ),
introduced(split_symbol_definition) ).
fof(f485,plain,
( sk0_23 = n3
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( spl0_20
<=> sk0_23 = n4 ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( sk0_23 = n4
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f622,plain,
( spl0_40
<=> leq(sk0_23,n5) ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( ~ leq(sk0_23,n5)
| spl0_40 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,plain,
( spl0_41
<=> sk0_23 = n5 ),
introduced(split_symbol_definition) ).
fof(f626,plain,
( sk0_23 = n5
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( ~ leq(sk0_23,n5)
| sk0_23 = n0
| sk0_23 = n1
| sk0_23 = n2
| sk0_23 = n3
| sk0_23 = n4
| sk0_23 = n5 ),
inference(resolution,[status(thm)],[f316,f282]) ).
fof(f629,plain,
( ~ spl0_40
| spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20
| spl0_41 ),
inference(split_clause,[status(thm)],[f628,f622,f475,f478,f481,f484,f487,f625]) ).
fof(f637,plain,
( $false
| spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f283]) ).
fof(f638,plain,
spl0_40,
inference(contradiction_clause,[status(thm)],[f637]) ).
fof(f801,plain,
( a_select2(xinit_noise_defuse,n3) != use
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f485,f284]) ).
fof(f802,plain,
( use != use
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f277,f801]) ).
fof(f803,plain,
( $false
| ~ spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f802]) ).
fof(f804,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f803]) ).
fof(f813,plain,
( a_select2(xinit_noise_defuse,n5) != use
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f626,f284]) ).
fof(f814,plain,
( use != use
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f279,f813]) ).
fof(f815,plain,
( $false
| ~ spl0_41 ),
inference(trivial_equality_resolution,[status(esa)],[f814]) ).
fof(f816,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f815]) ).
fof(f833,plain,
( a_select2(xinit_noise_defuse,n0) != use
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f476,f284]) ).
fof(f834,plain,
( use != use
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f274,f833]) ).
fof(f835,plain,
( $false
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f834]) ).
fof(f836,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f835]) ).
fof(f859,plain,
( a_select2(xinit_noise_defuse,n1) != use
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f479,f284]) ).
fof(f860,plain,
( use != use
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f275,f859]) ).
fof(f861,plain,
( $false
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f860]) ).
fof(f862,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f861]) ).
fof(f876,plain,
( a_select2(xinit_noise_defuse,n2) != use
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f482,f284]) ).
fof(f877,plain,
( use != use
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f276,f876]) ).
fof(f878,plain,
( $false
| ~ spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f877]) ).
fof(f879,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f878]) ).
fof(f880,plain,
( a_select2(xinit_noise_defuse,n4) != use
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f488,f284]) ).
fof(f881,plain,
( use != use
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f278,f880]) ).
fof(f882,plain,
( $false
| ~ spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f881]) ).
fof(f883,plain,
~ spl0_20,
inference(contradiction_clause,[status(thm)],[f882]) ).
fof(f884,plain,
$false,
inference(sat_refutation,[status(thm)],[f629,f638,f804,f816,f836,f862,f879,f883]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV209+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:29:52 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.17/0.43 % Refutation found
% 0.17/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.46 % Elapsed time: 0.118341 seconds
% 0.17/0.46 % CPU time: 0.459887 seconds
% 0.17/0.46 % Memory used: 61.888 MB
%------------------------------------------------------------------------------