TSTP Solution File: SWV092+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWV092+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 : Mon Jun 24 17:34:13 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 38
% Syntax : Number of formulae : 123 ( 59 unt; 0 def)
% Number of atoms : 659 ( 457 equ)
% Maximal formula atoms : 60 ( 5 avg)
% Number of connectives : 767 ( 231 ~; 221 |; 274 &)
% ( 32 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 32 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 34 ( 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f836,plain,
$false,
inference(avatar_sat_refutation,[],[f320,f330,f336,f337,f338,f339,f340,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f433,f724,f835]) ).
fof(f835,plain,
( ~ spl2_30
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl2_30
| ~ spl2_36 ),
inference(resolution,[],[f727,f190]) ).
fof(f190,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f727,plain,
( gt(n0,n0)
| ~ spl2_30
| ~ spl2_36 ),
inference(backward_demodulation,[],[f410,f428]) ).
fof(f428,plain,
( n0 = sK1
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl2_36
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).
fof(f410,plain,
( gt(n0,sK1)
| ~ spl2_30 ),
inference(resolution,[],[f196,f319]) ).
fof(f319,plain,
( leq(sK1,minus(n0,n1))
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl2_30
<=> leq(sK1,minus(n0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
fof(f196,plain,
! [X0,X1] :
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(definition_unfolding,[],[f191,f178]) ).
fof(f178,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f191,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f724,plain,
( spl2_37
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f723,f317,f430]) ).
fof(f430,plain,
( spl2_37
<=> leq(sK1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
fof(f723,plain,
( leq(sK1,n0)
| ~ spl2_30 ),
inference(resolution,[],[f188,f410]) ).
fof(f188,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f433,plain,
( spl2_36
| ~ spl2_37
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f420,f327,f430,f426]) ).
fof(f327,plain,
( spl2_32
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
fof(f420,plain,
( ~ leq(sK1,n0)
| n0 = sK1
| ~ spl2_32 ),
inference(resolution,[],[f150,f329]) ).
fof(f329,plain,
( leq(n0,sK1)
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f150,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f362,plain,
spl2_1,
inference(avatar_split_clause,[],[f117,f200]) ).
fof(f200,plain,
( spl2_1
<=> use = a_select2(rho_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f117,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ( ( use != a_select3(z_defuse,sK0,sK1)
| use != a_select3(u_defuse,sK0,sK1) )
& leq(sK1,minus(n0,n1))
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0) )
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f89,f112]) ).
fof(f112,plain,
( ? [X0,X1] :
( ( use != a_select3(z_defuse,X0,X1)
| use != a_select3(u_defuse,X0,X1) )
& leq(X1,minus(n0,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( use != a_select3(z_defuse,sK0,sK1)
| use != a_select3(u_defuse,sK0,sK1) )
& leq(sK1,minus(n0,n1))
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ( ? [X0,X1] :
( ( use != a_select3(z_defuse,X0,X1)
| use != a_select3(u_defuse,X0,X1) )
& leq(X1,minus(n0,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
( ( ? [X0,X1] :
( ( use != a_select3(z_defuse,X0,X1)
| use != a_select3(u_defuse,X0,X1) )
& leq(X1,minus(n0,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ( ! [X0,X1] :
( ( leq(X1,minus(n0,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use = a_select3(z_defuse,X0,X1)
& use = a_select3(u_defuse,X0,X1) ) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ( ! [X13,X17] :
( ( leq(X17,minus(n0,n1))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( use = a_select3(z_defuse,X13,X17)
& use = a_select3(u_defuse,X13,X17) ) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ( ! [X13,X17] :
( ( leq(X17,minus(n0,n1))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( use = a_select3(z_defuse,X13,X17)
& use = a_select3(u_defuse,X13,X17) ) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f361,plain,
spl2_2,
inference(avatar_split_clause,[],[f118,f204]) ).
fof(f204,plain,
( spl2_2
<=> use = a_select2(rho_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f118,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f113]) ).
fof(f360,plain,
spl2_3,
inference(avatar_split_clause,[],[f119,f208]) ).
fof(f208,plain,
( spl2_3
<=> use = a_select2(rho_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f119,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f113]) ).
fof(f359,plain,
spl2_4,
inference(avatar_split_clause,[],[f120,f212]) ).
fof(f212,plain,
( spl2_4
<=> use = a_select2(sigma_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f120,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f113]) ).
fof(f358,plain,
spl2_5,
inference(avatar_split_clause,[],[f121,f216]) ).
fof(f216,plain,
( spl2_5
<=> use = a_select2(sigma_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f121,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f113]) ).
fof(f357,plain,
spl2_6,
inference(avatar_split_clause,[],[f122,f220]) ).
fof(f220,plain,
( spl2_6
<=> use = a_select2(sigma_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f122,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f113]) ).
fof(f356,plain,
spl2_7,
inference(avatar_split_clause,[],[f123,f224]) ).
fof(f224,plain,
( spl2_7
<=> use = a_select2(sigma_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f123,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f113]) ).
fof(f355,plain,
spl2_8,
inference(avatar_split_clause,[],[f124,f228]) ).
fof(f228,plain,
( spl2_8
<=> use = a_select2(sigma_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f124,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f113]) ).
fof(f354,plain,
spl2_9,
inference(avatar_split_clause,[],[f125,f232]) ).
fof(f232,plain,
( spl2_9
<=> use = a_select2(sigma_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f125,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f113]) ).
fof(f353,plain,
spl2_10,
inference(avatar_split_clause,[],[f126,f236]) ).
fof(f236,plain,
( spl2_10
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f126,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f113]) ).
fof(f352,plain,
spl2_11,
inference(avatar_split_clause,[],[f127,f240]) ).
fof(f240,plain,
( spl2_11
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f127,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f113]) ).
fof(f351,plain,
spl2_12,
inference(avatar_split_clause,[],[f128,f244]) ).
fof(f244,plain,
( spl2_12
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f128,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f113]) ).
fof(f350,plain,
spl2_13,
inference(avatar_split_clause,[],[f129,f248]) ).
fof(f248,plain,
( spl2_13
<=> use = a_select2(xinit_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f129,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f113]) ).
fof(f349,plain,
spl2_14,
inference(avatar_split_clause,[],[f130,f252]) ).
fof(f252,plain,
( spl2_14
<=> use = a_select2(xinit_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f130,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f113]) ).
fof(f348,plain,
spl2_15,
inference(avatar_split_clause,[],[f131,f256]) ).
fof(f256,plain,
( spl2_15
<=> use = a_select2(xinit_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f131,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f113]) ).
fof(f347,plain,
spl2_16,
inference(avatar_split_clause,[],[f132,f260]) ).
fof(f260,plain,
( spl2_16
<=> use = a_select2(xinit_mean_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f132,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f113]) ).
fof(f346,plain,
spl2_17,
inference(avatar_split_clause,[],[f133,f264]) ).
fof(f264,plain,
( spl2_17
<=> use = a_select2(xinit_mean_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f133,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f113]) ).
fof(f345,plain,
spl2_18,
inference(avatar_split_clause,[],[f134,f268]) ).
fof(f268,plain,
( spl2_18
<=> use = a_select2(xinit_mean_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f134,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f113]) ).
fof(f344,plain,
spl2_19,
inference(avatar_split_clause,[],[f135,f272]) ).
fof(f272,plain,
( spl2_19
<=> use = a_select2(xinit_mean_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f135,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f113]) ).
fof(f343,plain,
spl2_20,
inference(avatar_split_clause,[],[f136,f276]) ).
fof(f276,plain,
( spl2_20
<=> use = a_select2(xinit_mean_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f136,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f113]) ).
fof(f342,plain,
spl2_21,
inference(avatar_split_clause,[],[f137,f280]) ).
fof(f280,plain,
( spl2_21
<=> use = a_select2(xinit_mean_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
fof(f137,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f113]) ).
fof(f341,plain,
spl2_22,
inference(avatar_split_clause,[],[f138,f284]) ).
fof(f284,plain,
( spl2_22
<=> use = a_select2(xinit_noise_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f138,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f113]) ).
fof(f340,plain,
spl2_23,
inference(avatar_split_clause,[],[f139,f288]) ).
fof(f288,plain,
( spl2_23
<=> use = a_select2(xinit_noise_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
fof(f139,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f113]) ).
fof(f339,plain,
spl2_24,
inference(avatar_split_clause,[],[f140,f292]) ).
fof(f292,plain,
( spl2_24
<=> use = a_select2(xinit_noise_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
fof(f140,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f113]) ).
fof(f338,plain,
spl2_25,
inference(avatar_split_clause,[],[f141,f296]) ).
fof(f296,plain,
( spl2_25
<=> use = a_select2(xinit_noise_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
fof(f141,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f113]) ).
fof(f337,plain,
spl2_26,
inference(avatar_split_clause,[],[f142,f300]) ).
fof(f300,plain,
( spl2_26
<=> use = a_select2(xinit_noise_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
fof(f142,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f113]) ).
fof(f336,plain,
spl2_27,
inference(avatar_split_clause,[],[f143,f304]) ).
fof(f304,plain,
( spl2_27
<=> use = a_select2(xinit_noise_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
fof(f143,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f113]) ).
fof(f330,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12
| ~ spl2_13
| ~ spl2_14
| ~ spl2_15
| ~ spl2_16
| ~ spl2_17
| ~ spl2_18
| ~ spl2_19
| ~ spl2_20
| ~ spl2_21
| ~ spl2_22
| ~ spl2_23
| ~ spl2_24
| ~ spl2_25
| ~ spl2_26
| ~ spl2_27
| spl2_32 ),
inference(avatar_split_clause,[],[f145,f327,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268,f264,f260,f256,f252,f248,f244,f240,f236,f232,f228,f224,f220,f216,f212,f208,f204,f200]) ).
fof(f145,plain,
( leq(n0,sK1)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f320,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11
| ~ spl2_12
| ~ spl2_13
| ~ spl2_14
| ~ spl2_15
| ~ spl2_16
| ~ spl2_17
| ~ spl2_18
| ~ spl2_19
| ~ spl2_20
| ~ spl2_21
| ~ spl2_22
| ~ spl2_23
| ~ spl2_24
| ~ spl2_25
| ~ spl2_26
| ~ spl2_27
| spl2_30 ),
inference(avatar_split_clause,[],[f147,f317,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268,f264,f260,f256,f252,f248,f244,f240,f236,f232,f228,f224,f220,f216,f212,f208,f204,f200]) ).
fof(f147,plain,
( leq(sK1,minus(n0,n1))
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV092+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n021.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 : Thu Jun 20 14:50:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 % (30630)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40 % (30637)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.42 % (30630)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (30634)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.42 % (30630)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (30636)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.42 % (30630)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (30633)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.42 % (30630)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (30632)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.42 % (30630)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (30635)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.42 % (30630)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (30631)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.21/0.43 % (30637)Instruction limit reached!
% 0.21/0.43 % (30637)------------------------------
% 0.21/0.43 % (30637)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (30637)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (30637)Termination reason: Time limit
% 0.21/0.43 % (30637)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (30637)Memory used [KB]: 1422
% 0.21/0.43 % (30637)Time elapsed: 0.032 s
% 0.21/0.43 % (30637)Instructions burned: 126 (million)
% 0.21/0.43 % (30636)First to succeed.
% 0.21/0.43 % (30636)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30630"
% 0.21/0.44 % (30630)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (30636)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (30636)------------------------------
% 0.21/0.44 % (30636)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (30636)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (30636)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (30636)Memory used [KB]: 1430
% 0.21/0.44 % (30636)Time elapsed: 0.017 s
% 0.21/0.44 % (30636)Instructions burned: 24 (million)
% 0.21/0.44 % (30636)------------------------------
% 0.21/0.44 % (30636)------------------------------
% 0.21/0.44 % (30630)Success in time 0.065 s
%------------------------------------------------------------------------------