TSTP Solution File: SWV202+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV202+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n001.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 Aug 31 18:44:29 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 10 unt; 0 def)
% Number of atoms : 533 ( 292 equ)
% Maximal formula atoms : 51 ( 8 avg)
% Number of connectives : 622 ( 155 ~; 133 |; 309 &)
% ( 7 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 73 ( 65 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f482,plain,
$false,
inference(avatar_sat_refutation,[],[f291,f296,f301,f373,f435,f479]) ).
fof(f479,plain,
( spl3_1
| spl3_3
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| spl3_1
| spl3_3
| spl3_4 ),
inference(subsumption_resolution,[],[f477,f176]) ).
fof(f176,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( use = a_select2(xinit_mean_defuse,n3)
& ( n1 != sK0
| pv5 != sK1 )
& use != a_select3(u_defuse,sK0,sK1)
& ( pv5 != sK1
| n2 != sK0 )
& leq(sK0,n2)
& leq(sK1,pv5)
& ( pv5 != sK1
| n0 != sK0 )
& leq(n0,sK0)
& leq(n0,sK1)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n0,n0)
& ! [X2,X3] :
( ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) )
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& gt(pv5,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n5)
& leq(n0,pv5)
& ! [X4,X5] :
( ~ leq(n0,X5)
| ~ leq(X4,pred(pv5))
| ~ leq(n0,X4)
| ~ leq(X5,n2)
| use = a_select3(z_defuse,X5,X4) )
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& leq(pv5,n998)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f124,f125]) ).
fof(f125,plain,
( ? [X0,X1] :
( ( n1 != X0
| pv5 != X1 )
& use != a_select3(u_defuse,X0,X1)
& ( pv5 != X1
| n2 != X0 )
& leq(X0,n2)
& leq(X1,pv5)
& ( pv5 != X1
| n0 != X0 )
& leq(n0,X0)
& leq(n0,X1) )
=> ( ( n1 != sK0
| pv5 != sK1 )
& use != a_select3(u_defuse,sK0,sK1)
& ( pv5 != sK1
| n2 != sK0 )
& leq(sK0,n2)
& leq(sK1,pv5)
& ( pv5 != sK1
| n0 != sK0 )
& leq(n0,sK0)
& leq(n0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( use = a_select2(xinit_mean_defuse,n3)
& ? [X0,X1] :
( ( n1 != X0
| pv5 != X1 )
& use != a_select3(u_defuse,X0,X1)
& ( pv5 != X1
| n2 != X0 )
& leq(X0,n2)
& leq(X1,pv5)
& ( pv5 != X1
| n0 != X0 )
& leq(n0,X0)
& leq(n0,X1) )
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n0,n0)
& ! [X2,X3] :
( ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) )
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& gt(pv5,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n5)
& leq(n0,pv5)
& ! [X4,X5] :
( ~ leq(n0,X5)
| ~ leq(X4,pred(pv5))
| ~ leq(n0,X4)
| ~ leq(X5,n2)
| use = a_select3(z_defuse,X5,X4) )
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& leq(pv5,n998)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n3) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
( use = a_select2(xinit_mean_defuse,n3)
& ? [X5,X4] :
( ( n1 != X5
| pv5 != X4 )
& use != a_select3(u_defuse,X5,X4)
& ( pv5 != X4
| n2 != X5 )
& leq(X5,n2)
& leq(X4,pv5)
& ( pv5 != X4
| n0 != X5 )
& leq(n0,X5)
& leq(n0,X4) )
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n0,n0)
& ! [X2,X3] :
( ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) )
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& gt(pv5,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n5)
& leq(n0,pv5)
& ! [X1,X0] :
( ~ leq(n0,X0)
| ~ leq(X1,pred(pv5))
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,X1) )
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& leq(pv5,n998)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n3) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
( ? [X4,X5] :
( use != a_select3(u_defuse,X5,X4)
& ( pv5 != X4
| n2 != X5 )
& ( n1 != X5
| pv5 != X4 )
& ( pv5 != X4
| n0 != X5 )
& leq(X5,n2)
& leq(n0,X5)
& leq(n0,X4)
& leq(X4,pv5) )
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n2)
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& gt(pv5,n0)
& use = a_select2(xinit_defuse,n5)
& ! [X1,X0] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5))
| ~ leq(n0,X0)
| ~ leq(n0,X1) )
& use = a_select2(sigma_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n0,n0)
& leq(pv5,n998)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n0)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n4) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n2)
& ! [X2,X3] :
( ( leq(X2,n2)
& leq(X3,pred(pv5))
& leq(n0,X3)
& leq(n0,X2) )
=> use = a_select3(u_defuse,X2,X3) )
& gt(pv5,n0)
& use = a_select2(xinit_defuse,n5)
& ! [X1,X0] :
( ( leq(X0,n2)
& leq(X1,pred(pv5))
& leq(n0,X0)
& leq(n0,X1) )
=> use = a_select3(z_defuse,X0,X1) )
& use = a_select2(sigma_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n0,n0)
& leq(pv5,n998)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n0)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n4) )
=> ! [X4,X5] :
( ( leq(X5,n2)
& leq(n0,X5)
& leq(n0,X4)
& leq(X4,pv5) )
=> ( ( ~ ( n2 = X5
& pv5 = X4 )
& ~ ( pv5 = X4
& n1 = X5 )
& ~ ( n0 = X5
& pv5 = X4 ) )
=> use = a_select3(u_defuse,X5,X4) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(xinit_defuse,n5)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_defuse,n4)
& leq(pv5,n998)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& ! [X3,X19] :
( ( leq(n0,X3)
& leq(X3,n2)
& leq(X19,pred(pv5))
& leq(n0,X19) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n2)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n0)
& ! [X13,X17] :
( ( leq(n0,X17)
& leq(n0,X13)
& leq(X17,pred(pv5))
& leq(X13,n2) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n0,n0)
& gt(pv5,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n5) )
=> ! [X21,X20] :
( ( leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20)
& leq(X21,pv5) )
=> ( ( ~ ( pv5 = X21
& n0 = X20 )
& ~ ( n1 = X20
& pv5 = X21 )
& ~ ( n2 = X20
& pv5 = X21 ) )
=> use = a_select3(u_defuse,X20,X21) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(xinit_defuse,n5)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_defuse,n4)
& leq(pv5,n998)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& ! [X3,X19] :
( ( leq(n0,X3)
& leq(X3,n2)
& leq(X19,pred(pv5))
& leq(n0,X19) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n2)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n0)
& ! [X13,X17] :
( ( leq(n0,X17)
& leq(n0,X13)
& leq(X17,pred(pv5))
& leq(X13,n2) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n0,n0)
& gt(pv5,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n5) )
=> ! [X21,X20] :
( ( leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20)
& leq(X21,pv5) )
=> ( ( ~ ( pv5 = X21
& n0 = X20 )
& ~ ( n1 = X20
& pv5 = X21 )
& ~ ( n2 = X20
& pv5 = X21 ) )
=> use = a_select3(u_defuse,X20,X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0013) ).
fof(f477,plain,
( ~ leq(n0,sK0)
| spl3_1
| spl3_3
| spl3_4 ),
inference(subsumption_resolution,[],[f476,f300]) ).
fof(f300,plain,
( ~ sQ2_eqProxy(n1,sK0)
| spl3_4 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl3_4
<=> sQ2_eqProxy(n1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f476,plain,
( sQ2_eqProxy(n1,sK0)
| ~ leq(n0,sK0)
| spl3_1
| spl3_3 ),
inference(subsumption_resolution,[],[f475,f179]) ).
fof(f179,plain,
leq(sK0,n2),
inference(cnf_transformation,[],[f126]) ).
fof(f475,plain,
( ~ leq(sK0,n2)
| sQ2_eqProxy(n1,sK0)
| ~ leq(n0,sK0)
| spl3_1
| spl3_3 ),
inference(subsumption_resolution,[],[f462,f286]) ).
fof(f286,plain,
( ~ sQ2_eqProxy(n0,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl3_1
<=> sQ2_eqProxy(n0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f462,plain,
( sQ2_eqProxy(n0,sK0)
| ~ leq(sK0,n2)
| ~ leq(n0,sK0)
| sQ2_eqProxy(n1,sK0)
| spl3_3 ),
inference(resolution,[],[f295,f233]) ).
fof(f233,plain,
! [X0] :
( sQ2_eqProxy(n2,X0)
| ~ leq(n0,X0)
| sQ2_eqProxy(n1,X0)
| sQ2_eqProxy(n0,X0)
| ~ leq(X0,n2) ),
inference(equality_proxy_replacement,[],[f138,f232,f232,f232]) ).
fof(f232,plain,
! [X0,X1] :
( sQ2_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).
fof(f138,plain,
! [X0] :
( ~ leq(X0,n2)
| n1 = X0
| n0 = X0
| n2 = X0
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ~ leq(X0,n2)
| n1 = X0
| n0 = X0
| n2 = X0
| ~ leq(n0,X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( n2 = X0
| n0 = X0
| n1 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( n2 = X0
| n0 = X0
| n1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f295,plain,
( ~ sQ2_eqProxy(n2,sK0)
| spl3_3 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl3_3
<=> sQ2_eqProxy(n2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f435,plain,
~ spl3_6,
inference(avatar_split_clause,[],[f428,f368]) ).
fof(f368,plain,
( spl3_6
<=> gt(pv5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f428,plain,
~ gt(pv5,sK1),
inference(resolution,[],[f427,f202]) ).
fof(f202,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,pred(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( gt(X0,X1)
| ~ leq(X1,pred(X0)) )
& ( leq(X1,pred(X0))
| ~ gt(X0,X1) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X1,X0] :
( ( gt(X1,X0)
| ~ leq(X0,pred(X1)) )
& ( leq(X0,pred(X1))
| ~ gt(X1,X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( gt(X1,X0)
<=> leq(X0,pred(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f427,plain,
~ leq(sK1,pred(pv5)),
inference(subsumption_resolution,[],[f426,f179]) ).
fof(f426,plain,
( ~ leq(sK1,pred(pv5))
| ~ leq(sK0,n2) ),
inference(subsumption_resolution,[],[f425,f175]) ).
fof(f175,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f425,plain,
( ~ leq(n0,sK1)
| ~ leq(sK0,n2)
| ~ leq(sK1,pred(pv5)) ),
inference(subsumption_resolution,[],[f424,f176]) ).
fof(f424,plain,
( ~ leq(n0,sK0)
| ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(sK1,pred(pv5)) ),
inference(resolution,[],[f243,f237]) ).
fof(f237,plain,
~ sQ2_eqProxy(use,a_select3(u_defuse,sK0,sK1)),
inference(equality_proxy_replacement,[],[f181,f232]) ).
fof(f181,plain,
use != a_select3(u_defuse,sK0,sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f243,plain,
! [X2,X3] :
( sQ2_eqProxy(use,a_select3(u_defuse,X2,X3))
| ~ leq(X2,n2)
| ~ leq(n0,X2)
| ~ leq(X3,pred(pv5))
| ~ leq(n0,X3) ),
inference(equality_proxy_replacement,[],[f171,f232]) ).
fof(f171,plain,
! [X2,X3] :
( ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f373,plain,
( spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f372,f288,f368]) ).
fof(f288,plain,
( spl3_2
<=> sQ2_eqProxy(pv5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f372,plain,
( gt(pv5,sK1)
| spl3_2 ),
inference(subsumption_resolution,[],[f361,f178]) ).
fof(f178,plain,
leq(sK1,pv5),
inference(cnf_transformation,[],[f126]) ).
fof(f361,plain,
( ~ leq(sK1,pv5)
| gt(pv5,sK1)
| spl3_2 ),
inference(resolution,[],[f290,f272]) ).
fof(f272,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| gt(X0,X1)
| sQ2_eqProxy(X0,X1) ),
inference(equality_proxy_replacement,[],[f196,f232]) ).
fof(f196,plain,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| ~ leq(X1,X0) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( X0 = X1
| gt(X1,X0)
| ~ leq(X0,X1) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& X0 != X1 )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f290,plain,
( ~ sQ2_eqProxy(pv5,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f301,plain,
( ~ spl3_2
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f236,f298,f288]) ).
fof(f236,plain,
( ~ sQ2_eqProxy(n1,sK0)
| ~ sQ2_eqProxy(pv5,sK1) ),
inference(equality_proxy_replacement,[],[f182,f232,f232]) ).
fof(f182,plain,
( n1 != sK0
| pv5 != sK1 ),
inference(cnf_transformation,[],[f126]) ).
fof(f296,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f238,f293,f288]) ).
fof(f238,plain,
( ~ sQ2_eqProxy(n2,sK0)
| ~ sQ2_eqProxy(pv5,sK1) ),
inference(equality_proxy_replacement,[],[f180,f232,f232]) ).
fof(f180,plain,
( pv5 != sK1
| n2 != sK0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f291,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f239,f288,f284]) ).
fof(f239,plain,
( ~ sQ2_eqProxy(pv5,sK1)
| ~ sQ2_eqProxy(n0,sK0) ),
inference(equality_proxy_replacement,[],[f177,f232,f232]) ).
fof(f177,plain,
( pv5 != sK1
| n0 != sK0 ),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV202+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:27:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (4495)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (4495)Instruction limit reached!
% 0.20/0.50 % (4495)------------------------------
% 0.20/0.50 % (4495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (4495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (4495)Termination reason: Unknown
% 0.20/0.50 % (4495)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (4495)Memory used [KB]: 1791
% 0.20/0.50 % (4495)Time elapsed: 0.009 s
% 0.20/0.50 % (4495)Instructions burned: 14 (million)
% 0.20/0.50 % (4495)------------------------------
% 0.20/0.50 % (4495)------------------------------
% 0.20/0.51 % (4519)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.51 % (4503)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (4504)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.51 % (4496)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (4496)Instruction limit reached!
% 0.20/0.51 % (4496)------------------------------
% 0.20/0.51 % (4496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (4496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (4496)Termination reason: Unknown
% 0.20/0.51 % (4496)Termination phase: Preprocessing 3
% 0.20/0.51
% 0.20/0.51 % (4496)Memory used [KB]: 1663
% 0.20/0.51 % (4496)Time elapsed: 0.003 s
% 0.20/0.51 % (4496)Instructions burned: 4 (million)
% 0.20/0.51 % (4496)------------------------------
% 0.20/0.51 % (4496)------------------------------
% 0.20/0.51 % (4517)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (4516)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52 % (4508)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (4509)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (4511)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (4508)Instruction limit reached!
% 0.20/0.52 % (4508)------------------------------
% 0.20/0.52 % (4508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (4508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (4508)Termination reason: Unknown
% 0.20/0.52 % (4508)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (4508)Memory used [KB]: 1663
% 0.20/0.52 % (4508)Time elapsed: 0.003 s
% 0.20/0.52 % (4508)Instructions burned: 5 (million)
% 0.20/0.52 % (4508)------------------------------
% 0.20/0.52 % (4508)------------------------------
% 0.20/0.53 % (4522)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (4497)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (4498)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (4499)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (4501)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (4504)First to succeed.
% 0.20/0.53 % (4502)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (4500)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (4504)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (4504)------------------------------
% 0.20/0.54 % (4504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (4504)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (4504)Memory used [KB]: 6268
% 0.20/0.54 % (4504)Time elapsed: 0.125 s
% 0.20/0.54 % (4504)Instructions burned: 7 (million)
% 0.20/0.54 % (4504)------------------------------
% 0.20/0.54 % (4504)------------------------------
% 0.20/0.54 % (4493)Success in time 0.188 s
%------------------------------------------------------------------------------