TSTP Solution File: SWV204+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV204+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 12:40:54 EDT 2023
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 11 unt; 0 def)
% Number of atoms : 230 ( 148 equ)
% Maximal formula atoms : 40 ( 6 avg)
% Number of connectives : 240 ( 48 ~; 46 |; 133 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 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,n2) )
=> a_select2(rho_defuse,E) = use ) ),
file('/export/starexec/sandbox/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,n2) )
=> a_select2(rho_defuse,E) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n2) )
=> ( X = n0
| X = n1
| X = n2 ) ),
file('/export/starexec/sandbox/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,n2)
& a_select2(rho_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,n2)
& a_select2(rho_defuse,sk0_23) != use ),
inference(skolemization,[status(esa)],[f251]) ).
fof(f253,plain,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f254,plain,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f255,plain,
a_select2(rho_defuse,n2) = 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,n2),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f284,plain,
a_select2(rho_defuse,sk0_23) != use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f321,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n2)
| X = n0
| X = n1
| X = n2 ),
inference(pre_NNF_transformation,[status(esa)],[f87]) ).
fof(f322,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| X0 = n0
| X0 = n1
| X0 = n2 ),
inference(cnf_transformation,[status(esa)],[f321]) ).
fof(f408,plain,
( spl0_10
<=> sk0_23 = n0 ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( sk0_23 = n0
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f431,plain,
( spl0_15
<=> sk0_23 = n1 ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( sk0_23 = n1
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f446,plain,
( spl0_18
<=> leq(sk0_23,n2) ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( ~ leq(sk0_23,n2)
| spl0_18 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( spl0_19
<=> sk0_23 = n2 ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( sk0_23 = n2
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( ~ leq(sk0_23,n2)
| sk0_23 = n0
| sk0_23 = n1
| sk0_23 = n2 ),
inference(resolution,[status(thm)],[f322,f282]) ).
fof(f453,plain,
( ~ spl0_18
| spl0_10
| spl0_15
| spl0_19 ),
inference(split_clause,[status(thm)],[f452,f446,f408,f431,f449]) ).
fof(f456,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f448,f283]) ).
fof(f457,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f456]) ).
fof(f462,plain,
( a_select2(rho_defuse,n0) != use
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f409,f284]) ).
fof(f463,plain,
( use != use
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f253,f462]) ).
fof(f464,plain,
( $false
| ~ spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f463]) ).
fof(f465,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( a_select2(rho_defuse,n1) != use
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f432,f284]) ).
fof(f468,plain,
( use != use
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f254,f467]) ).
fof(f469,plain,
( $false
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f468]) ).
fof(f470,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f469]) ).
fof(f479,plain,
( a_select2(rho_defuse,n2) != use
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f450,f284]) ).
fof(f480,plain,
( use != use
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f255,f479]) ).
fof(f481,plain,
( $false
| ~ spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f480]) ).
fof(f482,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f481]) ).
fof(f483,plain,
$false,
inference(sat_refutation,[status(thm)],[f453,f457,f465,f470,f482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV204+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:40:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.069415 seconds
% 0.12/0.41 % CPU time: 0.410924 seconds
% 0.12/0.41 % Memory used: 39.203 MB
%------------------------------------------------------------------------------