TSTP Solution File: SWV199+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:40:53 EDT 2023
% Result : Theorem 0.10s 0.37s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 70 ( 15 unt; 0 def)
% Number of atoms : 347 ( 178 equ)
% Maximal formula atoms : 51 ( 4 avg)
% Number of connectives : 364 ( 87 ~; 82 |; 171 &)
% ( 11 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 12 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 43 (; 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,pred(pv5)) )
=> a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,pred(pv5)) )
=> a_select3(z_defuse,C,D) = use ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5) )
=> ( ( ~ ( n0 = E
& pv5 = F )
& ~ ( n1 = E
& pv5 = F )
& ~ ( n2 = E
& pv5 = F ) )
=> a_select3(z_defuse,E,F) = 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,pred(pv5)) )
=> a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,pred(pv5)) )
=> a_select3(z_defuse,C,D) = use ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5) )
=> ( ( ~ ( n0 = E
& pv5 = F )
& ~ ( n1 = E
& pv5 = F )
& ~ ( n2 = E
& pv5 = F ) )
=> a_select3(z_defuse,E,F) = use ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f85,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n0) )
=> X = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n2) )
=> ( X = n0
| X = n1
| X = n2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f100,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f101,plain,
! [X,Z] :
( ! [Y] :
( ~ leq(X,Y)
| ~ leq(Y,Z) )
| leq(X,Z) ),
inference(miniscoping,[status(esa)],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f101]) ).
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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n2)
| ~ leq(B,pred(pv5))
| a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,pred(pv5))
| a_select3(z_defuse,C,D) = use )
& ? [E,F] :
( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5)
& ( n0 != E
| pv5 != F )
& ( n1 != E
| pv5 != F )
& ( n2 != E
| pv5 != F )
& a_select3(z_defuse,E,F) != 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n2)
| ~ leq(B,pred(pv5))
| a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,pred(pv5))
| a_select3(z_defuse,C,D) = use )
& leq(n0,sk0_23)
& leq(n0,sk0_24)
& leq(sk0_23,n2)
& leq(sk0_24,pv5)
& ( n0 != sk0_23
| pv5 != sk0_24 )
& ( n1 != sk0_23
| pv5 != sk0_24 )
& ( n2 != sk0_23
| pv5 != sk0_24 )
& a_select3(z_defuse,sk0_23,sk0_24) != use ),
inference(skolemization,[status(esa)],[f251]) ).
fof(f280,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f281,plain,
leq(pv5,n0),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f285,plain,
leq(n0,sk0_23),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f286,plain,
leq(n0,sk0_24),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f287,plain,
leq(sk0_23,n2),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f288,plain,
leq(sk0_24,pv5),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f289,plain,
( n0 != sk0_23
| pv5 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f290,plain,
( n1 != sk0_23
| pv5 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f291,plain,
( n2 != sk0_23
| pv5 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f325,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n0)
| X = n0 ),
inference(pre_NNF_transformation,[status(esa)],[f85]) ).
fof(f326,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| X0 = n0 ),
inference(cnf_transformation,[status(esa)],[f325]) ).
fof(f329,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n2)
| X = n0
| X = n1
| X = n2 ),
inference(pre_NNF_transformation,[status(esa)],[f87]) ).
fof(f330,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| X0 = n0
| X0 = n1
| X0 = n2 ),
inference(cnf_transformation,[status(esa)],[f329]) ).
fof(f365,plain,
( spl0_0
<=> n0 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( spl0_1
<=> pv5 = sk0_24 ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( pv5 != sk0_24
| spl0_1 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f289,f365,f368]) ).
fof(f372,plain,
( spl0_2
<=> n1 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f375,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f290,f372,f368]) ).
fof(f376,plain,
( spl0_3
<=> n2 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f291,f376,f368]) ).
fof(f385,plain,
( spl0_5
<=> leq(n0,n0) ),
introduced(split_symbol_definition) ).
fof(f387,plain,
( ~ leq(n0,n0)
| spl0_5 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f415,plain,
( spl0_13
<=> leq(sk0_23,n2) ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( ~ leq(sk0_23,n2)
| spl0_13 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f423,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f417,f287]) ).
fof(f424,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f423]) ).
fof(f434,plain,
! [X0] :
( ~ leq(X0,pv5)
| leq(X0,n0) ),
inference(resolution,[status(thm)],[f102,f281]) ).
fof(f458,plain,
leq(sk0_24,n0),
inference(resolution,[status(thm)],[f434,f288]) ).
fof(f485,plain,
( spl0_17
<=> leq(sk0_24,n0) ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( ~ leq(sk0_24,n0)
| spl0_17 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( spl0_18
<=> sk0_24 = n0 ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( sk0_24 = n0
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( ~ leq(sk0_24,n0)
| sk0_24 = n0 ),
inference(resolution,[status(thm)],[f326,f286]) ).
fof(f492,plain,
( ~ spl0_17
| spl0_18 ),
inference(split_clause,[status(thm)],[f491,f485,f488]) ).
fof(f498,plain,
( spl0_20
<=> leq(pv5,n0) ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( ~ leq(pv5,n0)
| spl0_20 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( spl0_21
<=> pv5 = n0 ),
introduced(split_symbol_definition) ).
fof(f502,plain,
( pv5 = n0
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( ~ leq(pv5,n0)
| pv5 = n0 ),
inference(resolution,[status(thm)],[f326,f280]) ).
fof(f505,plain,
( ~ spl0_20
| spl0_21 ),
inference(split_clause,[status(thm)],[f504,f498,f501]) ).
fof(f521,plain,
( spl0_24
<=> leq(n0,pv5) ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( ~ leq(n0,pv5)
| spl0_24 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f532,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f281]) ).
fof(f533,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f458]) ).
fof(f535,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f280]) ).
fof(f537,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f387,f99]) ).
fof(f539,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f540,plain,
( n0 != sk0_24
| ~ spl0_21
| spl0_1 ),
inference(backward_demodulation,[status(thm)],[f502,f370]) ).
fof(f554,plain,
( n0 != n0
| ~ spl0_18
| ~ spl0_21
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f489,f540]) ).
fof(f555,plain,
( $false
| ~ spl0_18
| ~ spl0_21
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f554]) ).
fof(f556,plain,
( ~ spl0_18
| ~ spl0_21
| spl0_1 ),
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f712,plain,
( ~ leq(sk0_23,n2)
| sk0_23 = n0
| sk0_23 = n1
| sk0_23 = n2 ),
inference(resolution,[status(thm)],[f330,f285]) ).
fof(f713,plain,
( ~ spl0_13
| spl0_0
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f712,f415,f365,f372,f376]) ).
fof(f724,plain,
$false,
inference(sat_refutation,[status(thm)],[f371,f375,f379,f424,f492,f505,f533,f535,f537,f539,f556,f713]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:29:17 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.61 % Elapsed time: 0.064184 seconds
% 0.16/0.61 % CPU time: 0.089503 seconds
% 0.16/0.61 % Memory used: 17.025 MB
%------------------------------------------------------------------------------