TSTP Solution File: SWV199+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV199+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_sat --cores 0 -t %d %s
% Computer : n029.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 18:55:47 EDT 2022
% Result : Theorem 2.12s 0.66s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 80 ( 17 unt; 0 def)
% Number of atoms : 525 ( 307 equ)
% Maximal formula atoms : 51 ( 6 avg)
% Number of connectives : 584 ( 139 ~; 107 |; 309 &)
% ( 10 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-3 aty)
% Number of variables : 71 ( 63 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1825,plain,
$false,
inference(avatar_sat_refutation,[],[f543,f557,f568,f1370,f1726,f1737,f1747,f1749,f1755,f1820]) ).
fof(f1820,plain,
( ~ spl64_12
| spl64_48 ),
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1819,plain,
( $false
| ~ spl64_12
| spl64_48 ),
inference(subsumption_resolution,[],[f1793,f1754]) ).
fof(f1754,plain,
( ~ leq(sK4,n0)
| spl64_48 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1752,plain,
( spl64_48
<=> leq(sK4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_48])]) ).
fof(f1793,plain,
( leq(sK4,n0)
| ~ spl64_12 ),
inference(superposition,[],[f279,f1304]) ).
fof(f1304,plain,
( n0 = pv5
| ~ spl64_12 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f1302,plain,
( spl64_12
<=> n0 = pv5 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_12])]) ).
fof(f279,plain,
leq(sK4,pv5),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n5)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& ( pv5 != sK4
| n1 != sK5 )
& ( pv5 != sK4
| n2 != sK5 )
& leq(sK5,n2)
& ( n0 != sK5
| pv5 != sK4 )
& use != a_select3(z_defuse,sK5,sK4)
& leq(sK4,pv5)
& leq(n0,sK5)
& leq(n0,sK4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& ! [X2,X3] :
( ~ leq(n0,X2)
| use = a_select3(u_defuse,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,n2)
| ~ leq(X2,pred(pv5)) )
& use = a_select2(sigma_defuse,n3)
& use = a_select2(rho_defuse,n2)
& ! [X4,X5] :
( ~ leq(n0,X4)
| use = a_select3(z_defuse,X5,X4)
| ~ leq(X4,pred(pv5))
| ~ leq(n0,X5)
| ~ leq(X5,n2) )
& use = a_select2(xinit_noise_defuse,n0)
& leq(pv5,n998)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f187,f188]) ).
fof(f188,plain,
( ? [X0,X1] :
( ( pv5 != X0
| n1 != X1 )
& ( pv5 != X0
| n2 != X1 )
& leq(X1,n2)
& ( n0 != X1
| pv5 != X0 )
& use != a_select3(z_defuse,X1,X0)
& leq(X0,pv5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( pv5 != sK4
| n1 != sK5 )
& ( pv5 != sK4
| n2 != sK5 )
& leq(sK5,n2)
& ( n0 != sK5
| pv5 != sK4 )
& use != a_select3(z_defuse,sK5,sK4)
& leq(sK4,pv5)
& leq(n0,sK5)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n5)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& ? [X0,X1] :
( ( pv5 != X0
| n1 != X1 )
& ( pv5 != X0
| n2 != X1 )
& leq(X1,n2)
& ( n0 != X1
| pv5 != X0 )
& use != a_select3(z_defuse,X1,X0)
& leq(X0,pv5)
& leq(n0,X1)
& leq(n0,X0) )
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& ! [X2,X3] :
( ~ leq(n0,X2)
| use = a_select3(u_defuse,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,n2)
| ~ leq(X2,pred(pv5)) )
& use = a_select2(sigma_defuse,n3)
& use = a_select2(rho_defuse,n2)
& ! [X4,X5] :
( ~ leq(n0,X4)
| use = a_select3(z_defuse,X5,X4)
| ~ leq(X4,pred(pv5))
| ~ leq(n0,X5)
| ~ leq(X5,n2) )
& use = a_select2(xinit_noise_defuse,n0)
& leq(pv5,n998)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
( use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n5)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& ? [X5,X4] :
( ( pv5 != X5
| n1 != X4 )
& ( pv5 != X5
| n2 != X4 )
& leq(X4,n2)
& ( n0 != X4
| pv5 != X5 )
& use != a_select3(z_defuse,X4,X5)
& leq(X5,pv5)
& leq(n0,X4)
& leq(n0,X5) )
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& ! [X0,X1] :
( ~ leq(n0,X0)
| use = a_select3(u_defuse,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,pred(pv5)) )
& use = a_select2(sigma_defuse,n3)
& use = a_select2(rho_defuse,n2)
& ! [X3,X2] :
( ~ leq(n0,X3)
| use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(n0,X2)
| ~ leq(X2,n2) )
& use = a_select2(xinit_noise_defuse,n0)
& leq(pv5,n998)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
( ? [X5,X4] :
( use != a_select3(z_defuse,X4,X5)
& ( pv5 != X5
| n2 != X4 )
& ( n0 != X4
| pv5 != X5 )
& ( pv5 != X5
| n1 != X4 )
& leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n0)
& leq(pv5,n998)
& use = a_select2(rho_defuse,n2)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n1)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n4)
& leq(pv5,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_noise_defuse,n3)
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5))
| ~ leq(n0,X2)
| ~ leq(n0,X3) )
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& ! [X0,X1] :
( use = a_select3(u_defuse,X1,X0)
| ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ leq(X0,pred(pv5))
| ~ leq(n0,X0) )
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(rho_defuse,n1)
& use = a_select3(u_defuse,n1,n0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
~ ( ( use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n0)
& leq(pv5,n998)
& use = a_select2(rho_defuse,n2)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n1)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n4)
& leq(pv5,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_noise_defuse,n3)
& ! [X2,X3] :
( ( leq(X2,n2)
& leq(X3,pred(pv5))
& leq(n0,X2)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X2,X3) )
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& ! [X0,X1] :
( ( leq(X1,n2)
& leq(n0,X1)
& leq(X0,pred(pv5))
& leq(n0,X0) )
=> use = a_select3(u_defuse,X1,X0) )
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(rho_defuse,n1)
& use = a_select3(u_defuse,n1,n0) )
=> ! [X5,X4] :
( ( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( ~ ( pv5 = X5
& n2 = X4 )
& ~ ( pv5 = X5
& n0 = X4 )
& ~ ( n1 = X4
& pv5 = X5 ) )
=> use = a_select3(z_defuse,X4,X5) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n1)
& ! [X17,X13] :
( ( leq(X17,pred(pv5))
& leq(X13,n2)
& leq(n0,X13)
& leq(n0,X17) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& leq(pv5,n0)
& use = a_select2(xinit_noise_defuse,n0)
& leq(pv5,n998)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(rho_defuse,n0)
& use = a_select3(u_defuse,n0,n0)
& ! [X3,X19] :
( ( leq(X3,n2)
& leq(n0,X3)
& leq(X19,pred(pv5))
& leq(n0,X19) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(sigma_defuse,n5)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0) )
=> ! [X20,X21] :
( ( leq(X21,pv5)
& leq(n0,X21)
& leq(n0,X20)
& leq(X20,n2) )
=> ( ( ~ ( n0 = X20
& pv5 = X21 )
& ~ ( n2 = X20
& pv5 = X21 )
& ~ ( pv5 = X21
& n1 = X20 ) )
=> use = a_select3(z_defuse,X20,X21) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_noise_defuse,n1)
& ! [X17,X13] :
( ( leq(X17,pred(pv5))
& leq(X13,n2)
& leq(n0,X13)
& leq(n0,X17) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& leq(pv5,n0)
& use = a_select2(xinit_noise_defuse,n0)
& leq(pv5,n998)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(rho_defuse,n0)
& use = a_select3(u_defuse,n0,n0)
& ! [X3,X19] :
( ( leq(X3,n2)
& leq(n0,X3)
& leq(X19,pred(pv5))
& leq(n0,X19) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(sigma_defuse,n5)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_mean_defuse,n0) )
=> ! [X20,X21] :
( ( leq(X21,pv5)
& leq(n0,X21)
& leq(n0,X20)
& leq(X20,n2) )
=> ( ( ~ ( n0 = X20
& pv5 = X21 )
& ~ ( n2 = X20
& pv5 = X21 )
& ~ ( pv5 = X21
& n1 = X20 ) )
=> use = a_select3(z_defuse,X20,X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).
fof(f1755,plain,
( ~ spl64_48
| spl64_15 ),
inference(avatar_split_clause,[],[f1607,f1316,f1752]) ).
fof(f1316,plain,
( spl64_15
<=> n0 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_15])]) ).
fof(f1607,plain,
( n0 = sK4
| ~ leq(sK4,n0) ),
inference(resolution,[],[f397,f277]) ).
fof(f277,plain,
leq(n0,sK4),
inference(cnf_transformation,[],[f189]) ).
fof(f397,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ~ leq(n0,X0)
| n0 = X0
| ~ leq(X0,n0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f1749,plain,
( ~ spl64_12
| spl64_2
| ~ spl64_15 ),
inference(avatar_split_clause,[],[f1738,f1316,f540,f1302]) ).
fof(f540,plain,
( spl64_2
<=> pv5 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_2])]) ).
fof(f1738,plain,
( n0 != pv5
| spl64_2
| ~ spl64_15 ),
inference(forward_demodulation,[],[f542,f1318]) ).
fof(f1318,plain,
( n0 = sK4
| ~ spl64_15 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f542,plain,
( pv5 != sK4
| spl64_2 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f1747,plain,
spl64_12,
inference(avatar_split_clause,[],[f1746,f1302]) ).
fof(f1746,plain,
n0 = pv5,
inference(subsumption_resolution,[],[f1605,f295]) ).
fof(f295,plain,
leq(pv5,n0),
inference(cnf_transformation,[],[f189]) ).
fof(f1605,plain,
( ~ leq(pv5,n0)
| n0 = pv5 ),
inference(resolution,[],[f397,f294]) ).
fof(f294,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f189]) ).
fof(f1737,plain,
( spl64_45
| spl64_3
| ~ spl64_26 ),
inference(avatar_split_clause,[],[f1711,f1367,f554,f1723]) ).
fof(f1723,plain,
( spl64_45
<=> leq(sK5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_45])]) ).
fof(f554,plain,
( spl64_3
<=> n1 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_3])]) ).
fof(f1367,plain,
( spl64_26
<=> gt(n2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_26])]) ).
fof(f1711,plain,
( leq(sK5,n0)
| spl64_3
| ~ spl64_26 ),
inference(resolution,[],[f1710,f859]) ).
fof(f859,plain,
! [X2] :
( ~ gt(n1,X2)
| leq(X2,n0) ),
inference(superposition,[],[f451,f463]) ).
fof(f463,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f383,f328]) ).
fof(f328,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f383,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f451,plain,
! [X0,X1] :
( ~ gt(plus(n1,X1),X0)
| leq(X0,X1) ),
inference(definition_unfolding,[],[f326,f328]) ).
fof(f326,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ( gt(succ(X1),X0)
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ gt(succ(X1),X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( gt(succ(X1),X0)
<=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f1710,plain,
( gt(n1,sK5)
| spl64_3
| ~ spl64_26 ),
inference(subsumption_resolution,[],[f1708,f556]) ).
fof(f556,plain,
( n1 != sK5
| spl64_3 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f1708,plain,
( gt(n1,sK5)
| n1 = sK5
| ~ spl64_26 ),
inference(resolution,[],[f1594,f303]) ).
fof(f303,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X1,X0] :
( X0 = X1
| ~ leq(X1,X0)
| gt(X0,X1) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X1,X0] :
( gt(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X1,X0] :
( ( X0 != X1
& leq(X1,X0) )
=> gt(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f1594,plain,
( leq(sK5,n1)
| ~ spl64_26 ),
inference(resolution,[],[f1369,f868]) ).
fof(f868,plain,
! [X5] :
( ~ gt(n2,X5)
| leq(X5,n1) ),
inference(forward_demodulation,[],[f862,f463]) ).
fof(f862,plain,
! [X5] :
( leq(X5,plus(n1,n0))
| ~ gt(n2,X5) ),
inference(superposition,[],[f451,f447]) ).
fof(f447,plain,
n2 = plus(n1,plus(n1,n0)),
inference(definition_unfolding,[],[f310,f328,f328]) ).
fof(f310,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f1369,plain,
( gt(n2,sK5)
| ~ spl64_26 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1726,plain,
( ~ spl64_45
| spl64_4 ),
inference(avatar_split_clause,[],[f1608,f565,f1723]) ).
fof(f565,plain,
( spl64_4
<=> n0 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_4])]) ).
fof(f1608,plain,
( n0 = sK5
| ~ leq(sK5,n0) ),
inference(resolution,[],[f397,f278]) ).
fof(f278,plain,
leq(n0,sK5),
inference(cnf_transformation,[],[f189]) ).
fof(f1370,plain,
( spl64_26
| spl64_1 ),
inference(avatar_split_clause,[],[f1270,f536,f1367]) ).
fof(f536,plain,
( spl64_1
<=> n2 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_1])]) ).
fof(f1270,plain,
( n2 = sK5
| gt(n2,sK5) ),
inference(resolution,[],[f303,f282]) ).
fof(f282,plain,
leq(sK5,n2),
inference(cnf_transformation,[],[f189]) ).
fof(f568,plain,
( ~ spl64_4
| ~ spl64_2 ),
inference(avatar_split_clause,[],[f281,f540,f565]) ).
fof(f281,plain,
( pv5 != sK4
| n0 != sK5 ),
inference(cnf_transformation,[],[f189]) ).
fof(f557,plain,
( ~ spl64_3
| ~ spl64_2 ),
inference(avatar_split_clause,[],[f284,f540,f554]) ).
fof(f284,plain,
( pv5 != sK4
| n1 != sK5 ),
inference(cnf_transformation,[],[f189]) ).
fof(f543,plain,
( ~ spl64_1
| ~ spl64_2 ),
inference(avatar_split_clause,[],[f283,f540,f536]) ).
fof(f283,plain,
( pv5 != sK4
| n2 != sK5 ),
inference(cnf_transformation,[],[f189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV199+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:16:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.54 % (2562)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.54 % (2563)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.54 % (2561)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.54 % (2579)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.56 % (2571)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.56 % (2562)Instruction limit reached!
% 0.22/0.56 % (2562)------------------------------
% 0.22/0.56 % (2562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (2570)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.22/0.56 % (2563)Instruction limit reached!
% 0.22/0.56 % (2563)------------------------------
% 0.22/0.56 % (2563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (2563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (2563)Termination reason: Unknown
% 0.22/0.56 % (2563)Termination phase: Preprocessing 3
% 0.22/0.56
% 0.22/0.56 % (2563)Memory used [KB]: 1151
% 0.22/0.56 % (2563)Time elapsed: 0.004 s
% 0.22/0.56 % (2563)Instructions burned: 4 (million)
% 0.22/0.56 % (2563)------------------------------
% 0.22/0.56 % (2563)------------------------------
% 0.22/0.56 % (2569)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.56 % (2562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (2562)Termination reason: Unknown
% 0.22/0.56 % (2562)Termination phase: Function definition elimination
% 0.22/0.56
% 0.22/0.56 % (2562)Memory used [KB]: 1151
% 0.22/0.56 % (2562)Time elapsed: 0.007 s
% 0.22/0.56 % (2562)Instructions burned: 8 (million)
% 0.22/0.56 % (2562)------------------------------
% 0.22/0.56 % (2562)------------------------------
% 0.22/0.56 % (2580)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.57 % (2581)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.57 % (2572)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.57 % (2559)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.57 % (2564)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.57 % (2577)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.22/0.57 % (2556)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.57 % (2565)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.58 % (2558)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.58 % (2584)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.22/0.58 % (2582)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.22/0.58 % (2578)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.22/0.59 % (2573)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.59 % (2557)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.59 % (2566)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.60 % (2575)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.22/0.60 % (2576)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.60 % (2574)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.60 % (2555)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.71/0.60 % (2560)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.71/0.60 % (2583)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.71/0.61 % (2567)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.71/0.61 % (2568)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.71/0.61 TRYING [1]
% 1.92/0.62 TRYING [2]
% 1.92/0.62 % (2561)Instruction limit reached!
% 1.92/0.62 % (2561)------------------------------
% 1.92/0.62 % (2561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62 % (2561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62 % (2561)Termination reason: Unknown
% 1.92/0.62 % (2561)Termination phase: Finite model building constraint generation
% 1.92/0.62
% 1.92/0.62 % (2561)Memory used [KB]: 7803
% 1.92/0.62 % (2561)Time elapsed: 0.191 s
% 1.92/0.62 % (2561)Instructions burned: 51 (million)
% 1.92/0.62 % (2561)------------------------------
% 1.92/0.62 % (2561)------------------------------
% 2.12/0.64 TRYING [1]
% 2.12/0.65 % (2557)Instruction limit reached!
% 2.12/0.65 % (2557)------------------------------
% 2.12/0.65 % (2557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (2557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65 % (2557)Termination reason: Unknown
% 2.12/0.65 % (2557)Termination phase: Saturation
% 2.12/0.65
% 2.12/0.65 % (2557)Memory used [KB]: 1663
% 2.12/0.65 % (2557)Time elapsed: 0.207 s
% 2.12/0.65 % (2557)Instructions burned: 37 (million)
% 2.12/0.65 % (2557)------------------------------
% 2.12/0.65 % (2557)------------------------------
% 2.12/0.65 % (2572)Instruction limit reached!
% 2.12/0.65 % (2572)------------------------------
% 2.12/0.65 % (2572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66 % (2564)Instruction limit reached!
% 2.12/0.66 % (2564)------------------------------
% 2.12/0.66 % (2564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66 % (2580)First to succeed.
% 2.12/0.66 % (2584)Also succeeded, but the first one will report.
% 2.12/0.66 % (2580)Refutation found. Thanks to Tanya!
% 2.12/0.66 % SZS status Theorem for theBenchmark
% 2.12/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.66 % (2580)------------------------------
% 2.12/0.66 % (2580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66 % (2580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66 % (2580)Termination reason: Refutation
% 2.12/0.66
% 2.12/0.66 % (2580)Memory used [KB]: 6524
% 2.12/0.66 % (2580)Time elapsed: 0.198 s
% 2.12/0.66 % (2580)Instructions burned: 58 (million)
% 2.12/0.66 % (2580)------------------------------
% 2.12/0.66 % (2580)------------------------------
% 2.12/0.66 % (2554)Success in time 0.295 s
%------------------------------------------------------------------------------