TSTP Solution File: SWV202+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV202+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 : Sun May 5 10:28:23 EDT 2024
% Result : Theorem 0.51s 0.74s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 77 ( 14 unt; 1 typ; 0 def)
% Number of atoms : 1803 ( 292 equ)
% Maximal formula atoms : 51 ( 23 avg)
% Number of connectives : 635 ( 164 ~; 138 |; 308 &)
% ( 7 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1256 (1256 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 32 ( 30 usr; 24 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 98 ( 89 !; 8 ?; 36 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ3_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f676,plain,
$false,
inference(avatar_sat_refutation,[],[f348,f353,f358,f455,f652,f660]) ).
tff(f660,plain,
( spl4_4
| spl4_3
| spl4_1 ),
inference(avatar_split_clause,[],[f659,f341,f350,f355]) ).
tff(f355,plain,
( spl4_4
<=> sQ3_eqProxy($i,n0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
tff(f350,plain,
( spl4_3
<=> sQ3_eqProxy($i,n1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
tff(f341,plain,
( spl4_1
<=> sQ3_eqProxy($i,n2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
tff(f659,plain,
( sQ3_eqProxy($i,n1,sK0)
| sQ3_eqProxy($i,n0,sK0)
| spl4_1 ),
inference(subsumption_resolution,[],[f658,f165]) ).
tff(f165,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f127]) ).
tff(f127,plain,
( ( use != a_select3(u_defuse,sK0,sK1) )
& ( ( pv5 != sK1 )
| ( n2 != sK0 ) )
& ( ( pv5 != sK1 )
| ( n1 != sK0 ) )
& ( ( pv5 != sK1 )
| ( n0 != sK0 ) )
& leq(sK1,pv5)
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0)
& ! [X2,X3] :
( ( use = a_select3(z_defuse,X2,X3) )
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( ( use = a_select3(u_defuse,X4,X5) )
| ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& ( 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])],[f125,f126]) ).
tff(f126,plain,
( ? [X0,X1] :
( ( use != a_select3(u_defuse,X0,X1) )
& ( ( pv5 != X1 )
| ( n2 != X0 ) )
& ( ( pv5 != X1 )
| ( n1 != X0 ) )
& ( ( pv5 != X1 )
| ( n0 != X0 ) )
& leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( use != a_select3(u_defuse,sK0,sK1) )
& ( ( pv5 != sK1 )
| ( n2 != sK0 ) )
& ( ( pv5 != sK1 )
| ( n1 != sK0 ) )
& ( ( pv5 != sK1 )
| ( n0 != sK0 ) )
& leq(sK1,pv5)
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f125,plain,
( ? [X0,X1] :
( ( use != a_select3(u_defuse,X0,X1) )
& ( ( pv5 != X1 )
| ( n2 != X0 ) )
& ( ( pv5 != X1 )
| ( n1 != X0 ) )
& ( ( pv5 != X1 )
| ( n0 != X0 ) )
& leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2,X3] :
( ( use = a_select3(z_defuse,X2,X3) )
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( ( use = a_select3(u_defuse,X4,X5) )
| ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& ( 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,[],[f99]) ).
tff(f99,plain,
( ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5) )
& ( ( pv5 != X5 )
| ( n2 != X4 ) )
& ( ( pv5 != X5 )
| ( n1 != X4 ) )
& ( ( pv5 != X5 )
| ( n0 != X4 ) )
& leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( ( use = a_select3(z_defuse,X0,X1) )
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( ( use = a_select3(u_defuse,X2,X3) )
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& ( 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,[],[f98]) ).
tff(f98,plain,
( ? [X4,X5] :
( ( use != a_select3(u_defuse,X4,X5) )
& ( ( pv5 != X5 )
| ( n2 != X4 ) )
& ( ( pv5 != X5 )
| ( n1 != X4 ) )
& ( ( pv5 != X5 )
| ( n0 != X4 ) )
& leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( ( use = a_select3(z_defuse,X0,X1) )
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( ( use = a_select3(u_defuse,X2,X3) )
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& ( 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,[],[f94]) ).
tff(f94,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,pred(pv5))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use = a_select3(z_defuse,X0,X1) ) )
& ! [X2,X3] :
( ( leq(X3,pred(pv5))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( use = a_select3(u_defuse,X2,X3) ) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& ( 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) ) )
=> ! [X4,X5] :
( ( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( ~ ( ( pv5 = X5 )
& ( n2 = X4 ) )
& ~ ( ( pv5 = X5 )
& ( n1 = X4 ) )
& ~ ( ( pv5 = X5 )
& ( n0 = X4 ) ) )
=> ( use = a_select3(u_defuse,X4,X5) ) ) ) ),
inference(rectify,[],[f54]) ).
tff(f54,negated_conjecture,
~ ( ( ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( use = a_select3(z_defuse,X3,X19) ) )
& ! [X13,X17] :
( ( leq(X17,pred(pv5))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( use = a_select3(u_defuse,X13,X17) ) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& ( 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) ) )
=> ! [X20,X21] :
( ( leq(X21,pv5)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( ~ ( ( pv5 = X21 )
& ( n2 = X20 ) )
& ~ ( ( pv5 = X21 )
& ( n1 = X20 ) )
& ~ ( ( pv5 = X21 )
& ( n0 = X20 ) ) )
=> ( use = a_select3(u_defuse,X20,X21) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
( ( ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( use = a_select3(z_defuse,X3,X19) ) )
& ! [X13,X17] :
( ( leq(X17,pred(pv5))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( use = a_select3(u_defuse,X13,X17) ) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& ( 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) ) )
=> ! [X20,X21] :
( ( leq(X21,pv5)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( ~ ( ( pv5 = X21 )
& ( n2 = X20 ) )
& ~ ( ( pv5 = X21 )
& ( n1 = X20 ) )
& ~ ( ( pv5 = X21 )
& ( n0 = X20 ) ) )
=> ( use = a_select3(u_defuse,X20,X21) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1aJ81Ozgqj/Vampire---4.8_4648',quaternion_ds1_inuse_0013) ).
tff(f658,plain,
( sQ3_eqProxy($i,n1,sK0)
| sQ3_eqProxy($i,n0,sK0)
| ~ leq(n0,sK0)
| spl4_1 ),
inference(subsumption_resolution,[],[f654,f167]) ).
tff(f167,plain,
leq(sK0,n2),
inference(cnf_transformation,[],[f127]) ).
tff(f654,plain,
( sQ3_eqProxy($i,n1,sK0)
| sQ3_eqProxy($i,n0,sK0)
| ~ leq(sK0,n2)
| ~ leq(n0,sK0)
| spl4_1 ),
inference(resolution,[],[f343,f316]) ).
tff(f316,plain,
! [X0: $i] :
( sQ3_eqProxy($i,n2,X0)
| sQ3_eqProxy($i,n1,X0)
| sQ3_eqProxy($i,n0,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(equality_proxy_replacement,[],[f201,f274]) ).
tff(f274,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ3_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
tff(f201,plain,
! [X0: $i] :
( ( n2 = X0 )
| ( n1 = X0 )
| ( n0 = X0 )
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f113]) ).
tff(f113,plain,
! [X0] :
( ( n2 = X0 )
| ( n1 = X0 )
| ( n0 = X0 )
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f112]) ).
tff(f112,plain,
! [X0] :
( ( n2 = X0 )
| ( n1 = X0 )
| ( n0 = X0 )
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f87]) ).
tff(f87,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( ( n2 = X0 )
| ( n1 = X0 )
| ( n0 = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1aJ81Ozgqj/Vampire---4.8_4648',finite_domain_2) ).
tff(f343,plain,
( ~ sQ3_eqProxy($i,n2,sK0)
| spl4_1 ),
inference(avatar_component_clause,[],[f341]) ).
tff(f652,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f651]) ).
tff(f651,plain,
( $false
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f647,f198]) ).
tff(f198,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.1aJ81Ozgqj/Vampire---4.8_4648',irreflexivity_gt) ).
tff(f647,plain,
( gt(sK1,sK1)
| ~ spl4_6 ),
inference(resolution,[],[f583,f431]) ).
tff(f431,plain,
( gt(sK1,pv5)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f429]) ).
tff(f429,plain,
( spl4_6
<=> gt(sK1,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
tff(f583,plain,
! [X0: $i] :
( ~ gt(X0,pv5)
| gt(X0,sK1) ),
inference(resolution,[],[f402,f168]) ).
tff(f168,plain,
leq(sK1,pv5),
inference(cnf_transformation,[],[f127]) ).
tff(f402,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ leq(X2,X0)
| ~ gt(X1,X0)
| gt(X1,X2) ),
inference(forward_literal_rewriting,[],[f398,f251]) ).
tff(f251,plain,
! [X0: $i,X1: $i] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f182,f180]) ).
tff(f180,plain,
! [X0: $i] : ( minus(X0,n1) = pred(X0) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
! [X0] : ( minus(X0,n1) = pred(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.1aJ81Ozgqj/Vampire---4.8_4648',pred_minus_1) ).
tff(f182,plain,
! [X0: $i,X1: $i] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
tff(f128,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.1aJ81Ozgqj/Vampire---4.8_4648',leq_gt_pred) ).
tff(f398,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ leq(X0,minus(X1,n1))
| ~ leq(X2,X0)
| gt(X1,X2) ),
inference(resolution,[],[f207,f252]) ).
tff(f252,plain,
! [X0: $i,X1: $i] :
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(definition_unfolding,[],[f181,f180]) ).
tff(f181,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f128]) ).
tff(f207,plain,
! [X2: $i,X0: $i,X1: $i] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f119]) ).
tff(f119,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.1aJ81Ozgqj/Vampire---4.8_4648',transitivity_leq) ).
tff(f455,plain,
( spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f454,f345,f429]) ).
tff(f345,plain,
( spl4_2
<=> sQ3_eqProxy($i,pv5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f454,plain,
( gt(sK1,pv5)
| spl4_2 ),
inference(subsumption_resolution,[],[f451,f364]) ).
tff(f364,plain,
~ gt(pv5,sK1),
inference(resolution,[],[f251,f362]) ).
tff(f362,plain,
~ leq(sK1,minus(pv5,n1)),
inference(subsumption_resolution,[],[f361,f165]) ).
tff(f361,plain,
( ~ leq(sK1,minus(pv5,n1))
| ~ leq(n0,sK0) ),
inference(subsumption_resolution,[],[f360,f166]) ).
tff(f166,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f127]) ).
tff(f360,plain,
( ~ leq(sK1,minus(pv5,n1))
| ~ leq(n0,sK1)
| ~ leq(n0,sK0) ),
inference(subsumption_resolution,[],[f359,f167]) ).
tff(f359,plain,
( ~ leq(sK1,minus(pv5,n1))
| ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0) ),
inference(resolution,[],[f280,f275]) ).
tff(f275,plain,
~ sQ3_eqProxy($i,use,a_select3(u_defuse,sK0,sK1)),
inference(equality_proxy_replacement,[],[f172,f274]) ).
tff(f172,plain,
use != a_select3(u_defuse,sK0,sK1),
inference(cnf_transformation,[],[f127]) ).
tff(f280,plain,
! [X4: $i,X5: $i] :
( sQ3_eqProxy($i,use,a_select3(u_defuse,X4,X5))
| ~ leq(X5,minus(pv5,n1))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(equality_proxy_replacement,[],[f247,f274]) ).
tff(f247,plain,
! [X4: $i,X5: $i] :
( ( use = a_select3(u_defuse,X4,X5) )
| ~ leq(X5,minus(pv5,n1))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(definition_unfolding,[],[f163,f180]) ).
tff(f163,plain,
! [X4: $i,X5: $i] :
( ( use = a_select3(u_defuse,X4,X5) )
| ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f127]) ).
tff(f451,plain,
( gt(sK1,pv5)
| gt(pv5,sK1)
| spl4_2 ),
inference(resolution,[],[f312,f347]) ).
tff(f347,plain,
( ~ sQ3_eqProxy($i,pv5,sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f345]) ).
tff(f312,plain,
! [X0: $i,X1: $i] :
( sQ3_eqProxy($i,X0,X1)
| gt(X1,X0)
| gt(X0,X1) ),
inference(equality_proxy_replacement,[],[f177,f274]) ).
tff(f177,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0,X1] :
( ( X0 = X1 )
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.1aJ81Ozgqj/Vampire---4.8_4648',totality) ).
tff(f358,plain,
( ~ spl4_4
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f278,f345,f355]) ).
tff(f278,plain,
( ~ sQ3_eqProxy($i,pv5,sK1)
| ~ sQ3_eqProxy($i,n0,sK0) ),
inference(equality_proxy_replacement,[],[f169,f274]) ).
tff(f169,plain,
( ( pv5 != sK1 )
| ( n0 != sK0 ) ),
inference(cnf_transformation,[],[f127]) ).
tff(f353,plain,
( ~ spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f277,f345,f350]) ).
tff(f277,plain,
( ~ sQ3_eqProxy($i,pv5,sK1)
| ~ sQ3_eqProxy($i,n1,sK0) ),
inference(equality_proxy_replacement,[],[f170,f274]) ).
tff(f170,plain,
( ( pv5 != sK1 )
| ( n1 != sK0 ) ),
inference(cnf_transformation,[],[f127]) ).
tff(f348,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f276,f345,f341]) ).
tff(f276,plain,
( ~ sQ3_eqProxy($i,pv5,sK1)
| ~ sQ3_eqProxy($i,n2,sK0) ),
inference(equality_proxy_replacement,[],[f171,f274]) ).
tff(f171,plain,
( ( pv5 != sK1 )
| ( n2 != sK0 ) ),
inference(cnf_transformation,[],[f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV202+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 21:10:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.1aJ81Ozgqj/Vampire---4.8_4648
% 0.51/0.73 % (4757)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.73 % (4762)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.51/0.73 % (4759)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.73 % (4760)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.51/0.73 % (4758)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.51/0.73 % (4764)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.51/0.73 % (4763)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.51/0.73 % (4761)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.74 % (4757)First to succeed.
% 0.51/0.74 % (4760)Also succeeded, but the first one will report.
% 0.51/0.74 % (4757)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4756"
% 0.51/0.74 % (4757)Refutation found. Thanks to Tanya!
% 0.51/0.74 % SZS status Theorem for Vampire---4
% 0.51/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.51/0.74 % (4757)------------------------------
% 0.51/0.74 % (4757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.74 % (4757)Termination reason: Refutation
% 0.51/0.74
% 0.51/0.74 % (4757)Memory used [KB]: 1247
% 0.51/0.74 % (4757)Time elapsed: 0.009 s
% 0.51/0.74 % (4757)Instructions burned: 26 (million)
% 0.51/0.74 % (4756)Success in time 0.383 s
% 0.51/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------