TSTP Solution File: SWV038+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV038+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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 04:02:17 EDT 2024
% Result : Theorem 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 33
% Syntax : Number of formulae : 191 ( 25 unt; 0 def)
% Number of atoms : 1339 ( 288 equ)
% Maximal formula atoms : 59 ( 7 avg)
% Number of connectives : 1870 ( 722 ~; 800 |; 276 &)
% ( 22 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 27 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 25 con; 0-3 aty)
% Number of variables : 95 ( 63 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f532,plain,
$false,
inference(avatar_sat_refutation,[],[f327,f333,f339,f345,f347,f349,f354,f359,f364,f367,f374,f375,f376,f377,f378,f379,f380,f381,f382,f383,f482,f500,f518,f531]) ).
fof(f531,plain,
( ~ spl10_9
| spl10_21 ),
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f530,plain,
( $false
| ~ spl10_9
| spl10_21 ),
inference(subsumption_resolution,[],[f529,f519]) ).
fof(f519,plain,
( leq(n0,sK7)
| ~ spl10_9 ),
inference(resolution,[],[f302,f146]) ).
fof(f146,plain,
( ~ sP0
| leq(n0,sK7) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( init != a_select3(simplex7_init,sK8,sK7)
& leq(sK8,n3)
& leq(n0,sK8)
& leq(sK7,n2)
& leq(n0,sK7) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f126,f128,f127]) ).
fof(f127,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
=> ( ? [X1] :
( init != a_select3(simplex7_init,X1,sK7)
& leq(X1,n3)
& leq(n0,X1) )
& leq(sK7,n2)
& leq(n0,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X1] :
( init != a_select3(simplex7_init,X1,sK7)
& leq(X1,n3)
& leq(n0,X1) )
=> ( init != a_select3(simplex7_init,sK8,sK7)
& leq(sK8,n3)
& leq(n0,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ sP0 ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f302,plain,
( sP0
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl10_9
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f529,plain,
( ~ leq(n0,sK7)
| ~ spl10_9
| spl10_21 ),
inference(subsumption_resolution,[],[f528,f520]) ).
fof(f520,plain,
( leq(sK7,n2)
| ~ spl10_9 ),
inference(resolution,[],[f302,f147]) ).
fof(f147,plain,
( ~ sP0
| leq(sK7,n2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f528,plain,
( ~ leq(sK7,n2)
| ~ leq(n0,sK7)
| ~ spl10_9
| spl10_21 ),
inference(subsumption_resolution,[],[f527,f521]) ).
fof(f521,plain,
( leq(n0,sK8)
| ~ spl10_9 ),
inference(resolution,[],[f302,f148]) ).
fof(f148,plain,
( ~ sP0
| leq(n0,sK8) ),
inference(cnf_transformation,[],[f129]) ).
fof(f527,plain,
( ~ leq(n0,sK8)
| ~ leq(sK7,n2)
| ~ leq(n0,sK7)
| ~ spl10_9
| spl10_21 ),
inference(subsumption_resolution,[],[f526,f522]) ).
fof(f522,plain,
( leq(sK8,n3)
| ~ spl10_9 ),
inference(resolution,[],[f302,f149]) ).
fof(f149,plain,
( ~ sP0
| leq(sK8,n3) ),
inference(cnf_transformation,[],[f129]) ).
fof(f526,plain,
( ~ leq(sK8,n3)
| ~ leq(n0,sK8)
| ~ leq(sK7,n2)
| ~ leq(n0,sK7)
| spl10_21 ),
inference(resolution,[],[f246,f363]) ).
fof(f363,plain,
( ~ sQ9_eqProxy(s_worst7_init,a_select3(simplex7_init,sK8,sK7))
| spl10_21 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f361,plain,
( spl10_21
<=> sQ9_eqProxy(s_worst7_init,a_select3(simplex7_init,sK8,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).
fof(f246,plain,
! [X3,X4] :
( sQ9_eqProxy(s_worst7_init,a_select3(simplex7_init,X4,X3))
| ~ leq(X4,n3)
| ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(n0,X3) ),
inference(equality_proxy_replacement,[],[f221,f227]) ).
fof(f227,plain,
! [X0,X1] :
( sQ9_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ9_eqProxy])]) ).
fof(f221,plain,
! [X3,X4] :
( s_worst7_init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(n0,X3) ),
inference(definition_unfolding,[],[f160,f153]) ).
fof(f153,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( ( ~ true
& n0 = pv1413 )
| sP3
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(definition_folding,[],[f89,f111,f110,f109,f108]) ).
fof(f109,plain,
( ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f110,plain,
( ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f111,plain,
( ( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& n0 != pv1413 )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f89,plain,
( ( ( ~ true
& n0 = pv1413 )
| ( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& n0 != pv1413 )
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
( ( ( ~ true
& n0 = pv1413 )
| ( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& n0 != pv1413 )
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X0] :
( ( leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> init = a_select2(s_try7_init,X0) )
& ! [X1] :
( ( leq(X1,n2)
& leq(n0,X1) )
=> init = a_select2(s_center7_init,X1) )
& ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> init = a_select2(s_values7_init,X2) )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> init = a_select3(simplex7_init,X4,X3) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X5] :
( ( leq(X5,minus(n3,n1))
& leq(n0,X5) )
=> init = a_select2(s_try7_init,X5) )
& ! [X6] :
( ( leq(X6,n2)
& leq(n0,X6) )
=> init = a_select2(s_center7_init,X6) )
& ! [X7] :
( ( leq(X7,n3)
& leq(n0,X7) )
=> init = a_select2(s_values7_init,X7) )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,n3)
& leq(n0,X9) )
=> init = a_select3(simplex7_init,X9,X8) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init
& init = init ) )
& init = init ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init
& init = init ) )
& init = init ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init
& init = init ) )
& init = init ) ),
file('/export/starexec/sandbox2/tmp/tmp.GaLFqwNnLF/Vampire---4.8_10377',gauss_init_0065) ).
fof(f160,plain,
! [X3,X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f112]) ).
fof(f518,plain,
( ~ spl10_16
| spl10_12
| ~ spl10_17 ),
inference(avatar_split_clause,[],[f517,f336,f312,f330]) ).
fof(f330,plain,
( spl10_16
<=> leq(sK4,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f312,plain,
( spl10_12
<=> sQ9_eqProxy(s_worst7_init,a_select2(s_try7_init,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f336,plain,
( spl10_17
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f517,plain,
( ~ leq(sK4,minus(n3,n1))
| spl10_12
| ~ spl10_17 ),
inference(subsumption_resolution,[],[f513,f338]) ).
fof(f338,plain,
( leq(n0,sK4)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f513,plain,
( ~ leq(sK4,minus(n3,n1))
| ~ leq(n0,sK4)
| spl10_12 ),
inference(resolution,[],[f243,f314]) ).
fof(f314,plain,
( ~ sQ9_eqProxy(s_worst7_init,a_select2(s_try7_init,sK4))
| spl10_12 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f243,plain,
! [X0] :
( sQ9_eqProxy(s_worst7_init,a_select2(s_try7_init,X0))
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(equality_proxy_replacement,[],[f218,f227]) ).
fof(f218,plain,
! [X0] :
( s_worst7_init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(definition_unfolding,[],[f163,f153]) ).
fof(f163,plain,
! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f500,plain,
( ~ spl10_10
| spl10_20 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f499,plain,
( $false
| ~ spl10_10
| spl10_20 ),
inference(subsumption_resolution,[],[f498,f492]) ).
fof(f492,plain,
( leq(n0,sK6)
| ~ spl10_10 ),
inference(resolution,[],[f306,f143]) ).
fof(f143,plain,
( ~ sP1
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( init != a_select2(s_values7_init,sK6)
& leq(sK6,n3)
& leq(n0,sK6) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f122,f123]) ).
fof(f123,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
=> ( init != a_select2(s_values7_init,sK6)
& leq(sK6,n3)
& leq(n0,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
( ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP1 ),
inference(nnf_transformation,[],[f109]) ).
fof(f306,plain,
( sP1
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl10_10
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f498,plain,
( ~ leq(n0,sK6)
| ~ spl10_10
| spl10_20 ),
inference(subsumption_resolution,[],[f497,f493]) ).
fof(f493,plain,
( leq(sK6,n3)
| ~ spl10_10 ),
inference(resolution,[],[f306,f144]) ).
fof(f144,plain,
( ~ sP1
| leq(sK6,n3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f497,plain,
( ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| spl10_20 ),
inference(resolution,[],[f245,f358]) ).
fof(f358,plain,
( ~ sQ9_eqProxy(s_worst7_init,a_select2(s_values7_init,sK6))
| spl10_20 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl10_20
<=> sQ9_eqProxy(s_worst7_init,a_select2(s_values7_init,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f245,plain,
! [X2] :
( sQ9_eqProxy(s_worst7_init,a_select2(s_values7_init,X2))
| ~ leq(X2,n3)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f220,f227]) ).
fof(f220,plain,
! [X2] :
( s_worst7_init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f161,f153]) ).
fof(f161,plain,
! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f482,plain,
( ~ spl10_11
| spl10_19 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| ~ spl10_11
| spl10_19 ),
inference(subsumption_resolution,[],[f480,f474]) ).
fof(f474,plain,
( leq(n0,sK5)
| ~ spl10_11 ),
inference(resolution,[],[f310,f140]) ).
fof(f140,plain,
( ~ sP2
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( init != a_select2(s_center7_init,sK5)
& leq(sK5,n2)
& leq(n0,sK5) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f118,f119]) ).
fof(f119,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
=> ( init != a_select2(s_center7_init,sK5)
& leq(sK5,n2)
& leq(n0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP2 ),
inference(nnf_transformation,[],[f110]) ).
fof(f310,plain,
( sP2
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl10_11
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f480,plain,
( ~ leq(n0,sK5)
| ~ spl10_11
| spl10_19 ),
inference(subsumption_resolution,[],[f479,f475]) ).
fof(f475,plain,
( leq(sK5,n2)
| ~ spl10_11 ),
inference(resolution,[],[f310,f141]) ).
fof(f141,plain,
( ~ sP2
| leq(sK5,n2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f479,plain,
( ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl10_19 ),
inference(resolution,[],[f244,f353]) ).
fof(f353,plain,
( ~ sQ9_eqProxy(s_worst7_init,a_select2(s_center7_init,sK5))
| spl10_19 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl10_19
<=> sQ9_eqProxy(s_worst7_init,a_select2(s_center7_init,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
fof(f244,plain,
! [X1] :
( sQ9_eqProxy(s_worst7_init,a_select2(s_center7_init,X1))
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(equality_proxy_replacement,[],[f219,f227]) ).
fof(f219,plain,
! [X1] :
( s_worst7_init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f162,f153]) ).
fof(f162,plain,
! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f383,plain,
spl10_2,
inference(avatar_split_clause,[],[f247,f272]) ).
fof(f272,plain,
( spl10_2
<=> sQ9_eqProxy(s_sworst7_init,s_worst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f247,plain,
sQ9_eqProxy(s_sworst7_init,s_worst7_init),
inference(equality_proxy_replacement,[],[f222,f227]) ).
fof(f222,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f152,f153]) ).
fof(f152,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f112]) ).
fof(f382,plain,
spl10_3,
inference(avatar_split_clause,[],[f154,f276]) ).
fof(f276,plain,
( spl10_3
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f154,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f112]) ).
fof(f381,plain,
spl10_4,
inference(avatar_split_clause,[],[f155,f280]) ).
fof(f280,plain,
( spl10_4
<=> leq(n0,s_sworst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f155,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f112]) ).
fof(f380,plain,
spl10_5,
inference(avatar_split_clause,[],[f156,f284]) ).
fof(f284,plain,
( spl10_5
<=> leq(n0,s_worst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f156,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f112]) ).
fof(f379,plain,
spl10_6,
inference(avatar_split_clause,[],[f157,f288]) ).
fof(f288,plain,
( spl10_6
<=> leq(s_best7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f157,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f112]) ).
fof(f378,plain,
spl10_7,
inference(avatar_split_clause,[],[f158,f292]) ).
fof(f292,plain,
( spl10_7
<=> leq(s_sworst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f158,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f112]) ).
fof(f377,plain,
spl10_8,
inference(avatar_split_clause,[],[f159,f296]) ).
fof(f296,plain,
( spl10_8
<=> leq(s_worst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f159,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f112]) ).
fof(f376,plain,
( ~ spl10_18
| spl10_13 ),
inference(avatar_split_clause,[],[f242,f316,f342]) ).
fof(f342,plain,
( spl10_18
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
fof(f316,plain,
( spl10_13
<=> sQ9_eqProxy(s_worst7_init,pvar1400_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f242,plain,
( sQ9_eqProxy(s_worst7_init,pvar1400_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f217,f227]) ).
fof(f217,plain,
( s_worst7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f164,f153]) ).
fof(f164,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f375,plain,
( ~ spl10_18
| spl10_14 ),
inference(avatar_split_clause,[],[f241,f320,f342]) ).
fof(f320,plain,
( spl10_14
<=> sQ9_eqProxy(s_worst7_init,pvar1401_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f241,plain,
( sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f216,f227]) ).
fof(f216,plain,
( s_worst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f165,f153]) ).
fof(f165,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f374,plain,
( ~ spl10_18
| spl10_15 ),
inference(avatar_split_clause,[],[f240,f324,f342]) ).
fof(f324,plain,
( spl10_15
<=> sQ9_eqProxy(s_worst7_init,pvar1402_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f240,plain,
( sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f215,f227]) ).
fof(f215,plain,
( s_worst7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f166,f153]) ).
fof(f166,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f367,plain,
spl10_1,
inference(avatar_split_clause,[],[f366,f268]) ).
fof(f268,plain,
( spl10_1
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f366,plain,
sP3,
inference(subsumption_resolution,[],[f365,f259]) ).
fof(f259,plain,
! [X0] : sQ9_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f227]) ).
fof(f365,plain,
( sP3
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init) ),
inference(subsumption_resolution,[],[f238,f177]) ).
fof(f177,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/tmp/tmp.GaLFqwNnLF/Vampire---4.8_10377',ttrue) ).
fof(f238,plain,
( ~ true
| sP3
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init) ),
inference(equality_proxy_replacement,[],[f213,f227]) ).
fof(f213,plain,
( ~ true
| sP3
| s_worst7_init != s_worst7_init ),
inference(definition_unfolding,[],[f168,f153,f153]) ).
fof(f168,plain,
( ~ true
| sP3
| init != init ),
inference(cnf_transformation,[],[f112]) ).
fof(f364,plain,
( ~ spl10_9
| ~ spl10_21 ),
inference(avatar_split_clause,[],[f237,f361,f300]) ).
fof(f237,plain,
( ~ sQ9_eqProxy(s_worst7_init,a_select3(simplex7_init,sK8,sK7))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f212,f227]) ).
fof(f212,plain,
( s_worst7_init != a_select3(simplex7_init,sK8,sK7)
| ~ sP0 ),
inference(definition_unfolding,[],[f150,f153]) ).
fof(f150,plain,
( init != a_select3(simplex7_init,sK8,sK7)
| ~ sP0 ),
inference(cnf_transformation,[],[f129]) ).
fof(f359,plain,
( ~ spl10_10
| ~ spl10_20 ),
inference(avatar_split_clause,[],[f236,f356,f304]) ).
fof(f236,plain,
( ~ sQ9_eqProxy(s_worst7_init,a_select2(s_values7_init,sK6))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f211,f227]) ).
fof(f211,plain,
( s_worst7_init != a_select2(s_values7_init,sK6)
| ~ sP1 ),
inference(definition_unfolding,[],[f145,f153]) ).
fof(f145,plain,
( init != a_select2(s_values7_init,sK6)
| ~ sP1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f354,plain,
( ~ spl10_11
| ~ spl10_19 ),
inference(avatar_split_clause,[],[f235,f351,f308]) ).
fof(f235,plain,
( ~ sQ9_eqProxy(s_worst7_init,a_select2(s_center7_init,sK5))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f210,f227]) ).
fof(f210,plain,
( s_worst7_init != a_select2(s_center7_init,sK5)
| ~ sP2 ),
inference(definition_unfolding,[],[f142,f153]) ).
fof(f142,plain,
( init != a_select2(s_center7_init,sK5)
| ~ sP2 ),
inference(cnf_transformation,[],[f120]) ).
fof(f349,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| spl10_9
| spl10_10
| spl10_11
| spl10_17
| spl10_18 ),
inference(avatar_split_clause,[],[f348,f342,f336,f308,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268]) ).
fof(f348,plain,
( gt(loopcounter,n1)
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(subsumption_resolution,[],[f260,f259]) ).
fof(f260,plain,
( gt(loopcounter,n1)
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f233]) ).
fof(f233,plain,
( gt(loopcounter,n1)
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f209,f227,f227,f227,f227]) ).
fof(f209,plain,
( gt(loopcounter,n1)
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| ~ sP3 ),
inference(definition_unfolding,[],[f134,f153,f153,f203,f153,f153,f153]) ).
fof(f203,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f151,f153]) ).
fof(f151,plain,
s_best7_init = init,
inference(cnf_transformation,[],[f112]) ).
fof(f134,plain,
( gt(loopcounter,n1)
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init
| ~ sP3 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ( init != a_select2(s_try7_init,sK4)
& leq(sK4,minus(n3,n1))
& leq(n0,sK4) )
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& n0 != pv1413 )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f114,f115]) ).
fof(f115,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> ( init != a_select2(s_try7_init,sK4)
& leq(sK4,minus(n3,n1))
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& n0 != pv1413 )
| ~ sP3 ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
( ( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& n0 != pv1413 )
| ~ sP3 ),
inference(nnf_transformation,[],[f111]) ).
fof(f347,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| spl10_9
| spl10_10
| spl10_11
| spl10_16
| spl10_18 ),
inference(avatar_split_clause,[],[f346,f342,f330,f308,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268]) ).
fof(f346,plain,
( gt(loopcounter,n1)
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(subsumption_resolution,[],[f261,f259]) ).
fof(f261,plain,
( gt(loopcounter,n1)
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f232,plain,
( gt(loopcounter,n1)
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f208,f227,f227,f227,f227]) ).
fof(f208,plain,
( gt(loopcounter,n1)
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| ~ sP3 ),
inference(definition_unfolding,[],[f135,f153,f153,f203,f153,f153,f153]) ).
fof(f135,plain,
( gt(loopcounter,n1)
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init
| ~ sP3 ),
inference(cnf_transformation,[],[f116]) ).
fof(f345,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| spl10_9
| spl10_10
| spl10_11
| ~ spl10_12
| spl10_18 ),
inference(avatar_split_clause,[],[f340,f342,f312,f308,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268]) ).
fof(f340,plain,
( gt(loopcounter,n1)
| ~ sQ9_eqProxy(s_worst7_init,a_select2(s_try7_init,sK4))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(subsumption_resolution,[],[f262,f259]) ).
fof(f262,plain,
( gt(loopcounter,n1)
| ~ sQ9_eqProxy(s_worst7_init,a_select2(s_try7_init,sK4))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f231,plain,
( gt(loopcounter,n1)
| ~ sQ9_eqProxy(s_worst7_init,a_select2(s_try7_init,sK4))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f207,f227,f227,f227,f227,f227]) ).
fof(f207,plain,
( gt(loopcounter,n1)
| s_worst7_init != a_select2(s_try7_init,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| ~ sP3 ),
inference(definition_unfolding,[],[f136,f153,f153,f153,f203,f153,f153,f153]) ).
fof(f136,plain,
( gt(loopcounter,n1)
| init != a_select2(s_try7_init,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init
| ~ sP3 ),
inference(cnf_transformation,[],[f116]) ).
fof(f339,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| spl10_9
| spl10_10
| spl10_11
| spl10_17
| ~ spl10_13
| ~ spl10_14
| ~ spl10_15 ),
inference(avatar_split_clause,[],[f334,f324,f320,f316,f336,f308,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268]) ).
fof(f334,plain,
( ~ sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1400_init)
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(subsumption_resolution,[],[f263,f259]) ).
fof(f263,plain,
( ~ sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1400_init)
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f230,plain,
( ~ sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1400_init)
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f206,f227,f227,f227,f227,f227,f227,f227]) ).
fof(f206,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| ~ sP3 ),
inference(definition_unfolding,[],[f137,f153,f153,f153,f153,f153,f203,f153,f153,f153]) ).
fof(f137,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| leq(n0,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init
| ~ sP3 ),
inference(cnf_transformation,[],[f116]) ).
fof(f333,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| spl10_9
| spl10_10
| spl10_11
| spl10_16
| ~ spl10_13
| ~ spl10_14
| ~ spl10_15 ),
inference(avatar_split_clause,[],[f328,f324,f320,f316,f330,f308,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268]) ).
fof(f328,plain,
( ~ sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1400_init)
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(subsumption_resolution,[],[f264,f259]) ).
fof(f264,plain,
( ~ sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1400_init)
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f229]) ).
fof(f229,plain,
( ~ sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1400_init)
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f205,f227,f227,f227,f227,f227,f227,f227]) ).
fof(f205,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| ~ sP3 ),
inference(definition_unfolding,[],[f138,f153,f153,f153,f153,f153,f203,f153,f153,f153]) ).
fof(f138,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| leq(sK4,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init
| ~ sP3 ),
inference(cnf_transformation,[],[f116]) ).
fof(f327,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| spl10_9
| spl10_10
| spl10_11
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14
| ~ spl10_15 ),
inference(avatar_split_clause,[],[f266,f324,f320,f316,f312,f308,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268]) ).
fof(f266,plain,
( ~ sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1400_init)
| ~ sQ9_eqProxy(s_worst7_init,a_select2(s_try7_init,sK4))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(subsumption_resolution,[],[f265,f259]) ).
fof(f265,plain,
( ~ sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1400_init)
| ~ sQ9_eqProxy(s_worst7_init,a_select2(s_try7_init,sK4))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f228,plain,
( ~ sQ9_eqProxy(s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy(s_worst7_init,pvar1400_init)
| ~ sQ9_eqProxy(s_worst7_init,a_select2(s_try7_init,sK4))
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy(s_worst7_init,s_worst7_init)
| ~ sP3 ),
inference(equality_proxy_replacement,[],[f204,f227,f227,f227,f227,f227,f227,f227,f227]) ).
fof(f204,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != a_select2(s_try7_init,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != s_worst7_init
| s_sworst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| ~ sP3 ),
inference(definition_unfolding,[],[f139,f153,f153,f153,f153,f153,f153,f203,f153,f153,f153]) ).
fof(f139,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| init != a_select2(s_try7_init,sK4)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init
| ~ sP3 ),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV038+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
% 0.15/0.34 % Computer : n028.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Apr 30 18:57:00 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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.GaLFqwNnLF/Vampire---4.8_10377
% 0.53/0.73 % (10730)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)
% 0.53/0.74 % (10723)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)
% 0.53/0.74 % (10726)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)
% 0.53/0.74 % (10724)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)
% 0.53/0.74 % (10727)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)
% 0.53/0.74 % (10728)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)
% 0.53/0.74 % (10729)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)
% 0.53/0.74 % (10725)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.74 % (10730)First to succeed.
% 0.53/0.74 % (10723)Also succeeded, but the first one will report.
% 0.53/0.74 % (10730)Refutation found. Thanks to Tanya!
% 0.53/0.74 % SZS status Theorem for Vampire---4
% 0.53/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.74 % (10730)------------------------------
% 0.53/0.74 % (10730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (10730)Termination reason: Refutation
% 0.53/0.74
% 0.53/0.74 % (10730)Memory used [KB]: 1237
% 0.53/0.74 % (10730)Time elapsed: 0.006 s
% 0.53/0.74 % (10730)Instructions burned: 17 (million)
% 0.53/0.74 % (10730)------------------------------
% 0.53/0.74 % (10730)------------------------------
% 0.53/0.74 % (10571)Success in time 0.383 s
% 0.53/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------