TSTP Solution File: SWV197+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV197+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 251 ( 146 equ)
% Maximal formula atoms : 51 ( 8 avg)
% Number of connectives : 276 ( 54 ~; 40 |; 168 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 24 (; 22 !; 2 ?)
% 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
& 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,pred(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,pred(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(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,pred(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,pred(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(f284,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5))
| a_select3(z_defuse,X0,X1) = use ),
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,pred(pv5)),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f292,plain,
a_select3(z_defuse,sk0_23,sk0_24) != use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f453,plain,
( spl0_11
<=> leq(n0,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( ~ leq(n0,sk0_23)
| spl0_11 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( spl0_12
<=> leq(n0,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( ~ leq(n0,sk0_24)
| spl0_12 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( spl0_13
<=> leq(sk0_23,n2) ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( ~ leq(sk0_23,n2)
| spl0_13 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( spl0_14
<=> leq(sk0_24,pred(pv5)) ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( ~ leq(sk0_24,pred(pv5))
| spl0_14 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( ~ leq(n0,sk0_23)
| ~ leq(n0,sk0_24)
| ~ leq(sk0_23,n2)
| ~ leq(sk0_24,pred(pv5)) ),
inference(resolution,[status(thm)],[f284,f292]) ).
fof(f466,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f465,f453,f456,f459,f462]) ).
fof(f467,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f464,f288]) ).
fof(f468,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f461,f287]) ).
fof(f470,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f458,f286]) ).
fof(f472,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f455,f285]) ).
fof(f474,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f473]) ).
fof(f475,plain,
$false,
inference(sat_refutation,[status(thm)],[f466,f468,f470,f472,f474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV197+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n024.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 May 30 11:45:03 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55 % Elapsed time: 0.018376 seconds
% 0.16/0.55 % CPU time: 0.020865 seconds
% 0.16/0.55 % Memory used: 4.149 MB
%------------------------------------------------------------------------------