TSTP Solution File: SWV209+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n008.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 : Tue Apr 30 20:46:15 EDT 2024
% Result : Theorem 0.16s 0.43s
% Output : CNFRefutation 0.16s
% 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(f488,plain,
( spl0_14
<=> sk0_23 = n0 ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( sk0_23 = n0
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( spl0_15
<=> sk0_23 = n1 ),
introduced(split_symbol_definition) ).
fof(f492,plain,
( sk0_23 = n1
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( spl0_16
<=> sk0_23 = n2 ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( sk0_23 = n2
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( spl0_17
<=> sk0_23 = n3 ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( sk0_23 = n3
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( spl0_18
<=> sk0_23 = n4 ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( sk0_23 = n4
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f533,plain,
( spl0_27
<=> leq(sk0_23,n5) ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( ~ leq(sk0_23,n5)
| spl0_27 ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( spl0_28
<=> sk0_23 = n5 ),
introduced(split_symbol_definition) ).
fof(f537,plain,
( sk0_23 = n5
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,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(f540,plain,
( ~ spl0_27
| spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_28 ),
inference(split_clause,[status(thm)],[f539,f533,f488,f491,f494,f497,f500,f536]) ).
fof(f548,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f535,f283]) ).
fof(f549,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f548]) ).
fof(f700,plain,
( a_select2(xinit_noise_defuse,n3) != use
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f498,f284]) ).
fof(f701,plain,
( use != use
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f277,f700]) ).
fof(f702,plain,
( $false
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f701]) ).
fof(f703,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f709,plain,
( a_select2(xinit_noise_defuse,n5) != use
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f537,f284]) ).
fof(f710,plain,
( use != use
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f279,f709]) ).
fof(f711,plain,
( $false
| ~ spl0_28 ),
inference(trivial_equality_resolution,[status(esa)],[f710]) ).
fof(f712,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f711]) ).
fof(f736,plain,
( a_select2(xinit_noise_defuse,n0) != use
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f489,f284]) ).
fof(f737,plain,
( use != use
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f274,f736]) ).
fof(f738,plain,
( $false
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f737]) ).
fof(f739,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f738]) ).
fof(f763,plain,
( a_select2(xinit_noise_defuse,n1) != use
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f492,f284]) ).
fof(f764,plain,
( use != use
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f275,f763]) ).
fof(f765,plain,
( $false
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f764]) ).
fof(f766,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f779,plain,
( a_select2(xinit_noise_defuse,n2) != use
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f495,f284]) ).
fof(f780,plain,
( use != use
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f276,f779]) ).
fof(f781,plain,
( $false
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f780]) ).
fof(f782,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f783,plain,
( a_select2(xinit_noise_defuse,n4) != use
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f501,f284]) ).
fof(f784,plain,
( use != use
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f278,f783]) ).
fof(f785,plain,
( $false
| ~ spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f784]) ).
fof(f786,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f787,plain,
$false,
inference(sat_refutation,[status(thm)],[f540,f549,f703,f712,f739,f766,f782,f786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV209+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n008.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:38:57 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.16/0.43 % Refutation found
% 0.16/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.45 % Elapsed time: 0.123210 seconds
% 0.16/0.45 % CPU time: 0.855623 seconds
% 0.16/0.45 % Total memory used: 76.289 MB
% 0.16/0.45 % Net memory used: 75.593 MB
%------------------------------------------------------------------------------