TSTP Solution File: SWV025+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV025+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 10:27:43 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 45
% Syntax : Number of formulae : 199 ( 34 unt; 1 typ; 0 def)
% Number of atoms : 3938 ( 287 equ)
% Maximal formula atoms : 66 ( 19 avg)
% Number of connectives : 2059 ( 779 ~; 843 |; 358 &)
% ( 35 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 2460 (2460 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 74 ( 72 usr; 67 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 105 ( 73 !; 31 ?; 19 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_9,type,
sQ9_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f541,plain,
$false,
inference(avatar_sat_refutation,[],[f364,f369,f374,f383,f388,f393,f402,f407,f412,f417,f422,f491,f496,f501,f506,f507,f508,f509,f510,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f526,f528,f534,f540]) ).
tff(f540,plain,
( spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14 ),
inference(avatar_contradiction_clause,[],[f539]) ).
tff(f539,plain,
( $false
| spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14 ),
inference(subsumption_resolution,[],[f538,f421]) ).
tff(f421,plain,
( leq(n0,sK5)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f419]) ).
tff(f419,plain,
( spl10_14
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
tff(f538,plain,
( ~ leq(n0,sK5)
| spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f537,f416]) ).
tff(f416,plain,
( leq(sK5,n2)
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f414]) ).
tff(f414,plain,
( spl10_13
<=> leq(sK5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
tff(f537,plain,
( ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl10_10
| ~ spl10_11
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f536,f411]) ).
tff(f411,plain,
( leq(n0,sK6)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f409]) ).
tff(f409,plain,
( spl10_12
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
tff(f536,plain,
( ~ leq(n0,sK6)
| ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl10_10
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f535,f406]) ).
tff(f406,plain,
( leq(sK6,n3)
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f404]) ).
tff(f404,plain,
( spl10_11
<=> leq(sK6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
tff(f535,plain,
( ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl10_10 ),
inference(resolution,[],[f321,f401]) ).
tff(f401,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select3(simplex7_init,sK6,sK5))
| spl10_10 ),
inference(avatar_component_clause,[],[f399]) ).
tff(f399,plain,
( spl10_10
<=> sQ9_eqProxy($i,s_worst7_init,a_select3(simplex7_init,sK6,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
tff(f321,plain,
! [X4: $i,X5: $i] :
( sQ9_eqProxy($i,s_worst7_init,a_select3(simplex7_init,X5,X4))
| ~ leq(X5,n3)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(n0,X4) ),
inference(equality_proxy_replacement,[],[f283,f305]) ).
tff(f305,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ9_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ9_eqProxy])]) ).
tff(f283,plain,
! [X4: $i,X5: $i] :
( ( s_worst7_init = a_select3(simplex7_init,X5,X4) )
| ~ leq(X5,n3)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(n0,X4) ),
inference(definition_unfolding,[],[f185,f172]) ).
tff(f172,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f153]) ).
tff(f153,plain,
( ( ( ( ( init != pvar1402_init )
| ( init != pvar1401_init )
| ( init != pvar1400_init ) )
& gt(loopcounter,n1) )
| ( ( init != a_select2(s_try7_init,sK7) )
& leq(sK7,minus(n3,n1))
& leq(n0,sK7) )
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) )
& ( ( ( init = pvar1402_init )
& ( init = pvar1401_init )
& ( init = pvar1400_init ) )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( ( init = a_select2(s_try7_init,X1) )
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) )
& ! [X2] :
( ( init = a_select2(s_center7_init,X2) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& ! [X3] :
( ( init = a_select2(s_values7_init,X3) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( ( init = a_select3(simplex7_init,X5,X4) )
| ~ leq(X5,n3)
| ~ leq(n0,X5) )
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f151,f152]) ).
tff(f152,plain,
( ? [X0] :
( ( init != a_select2(s_try7_init,X0) )
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> ( ( init != a_select2(s_try7_init,sK7) )
& leq(sK7,minus(n3,n1))
& leq(n0,sK7) ) ),
introduced(choice_axiom,[]) ).
tff(f151,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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) )
& ( ( ( init = pvar1402_init )
& ( init = pvar1401_init )
& ( init = pvar1400_init ) )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( ( init = a_select2(s_try7_init,X1) )
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) )
& ! [X2] :
( ( init = a_select2(s_center7_init,X2) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& ! [X3] :
( ( init = a_select2(s_values7_init,X3) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( ( init = a_select3(simplex7_init,X5,X4) )
| ~ leq(X5,n3)
| ~ leq(n0,X5) )
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) ),
inference(rectify,[],[f137]) ).
tff(f137,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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) ),
inference(definition_folding,[],[f107,f136,f135,f134]) ).
tff(f134,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])]) ).
tff(f135,plain,
( ? [X7] :
( ( init != a_select2(s_values7_init,X7) )
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f136,plain,
( ? [X6] :
( ( init != a_select2(s_center7_init,X6) )
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
tff(f107,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) )
| ? [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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) ),
inference(flattening,[],[f106]) ).
tff(f106,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) )
| ? [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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) )
=> ( ( 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) ) ),
inference(rectify,[],[f54]) ).
tff(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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) )
=> ( ( 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) )
=> ( ( 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& ( init = s_worst7_init )
& ( init = s_sworst7_init )
& ( init = s_best7_init )
& ( init = init ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hoI58GC8Oo/Vampire---4.8_23686',gauss_init_0013) ).
tff(f185,plain,
! [X4: $i,X5: $i] :
( ( init = a_select3(simplex7_init,X5,X4) )
| ~ leq(X5,n3)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f153]) ).
tff(f534,plain,
( ~ spl10_32
| spl10_28
| ~ spl10_33 ),
inference(avatar_split_clause,[],[f533,f498,f476,f493]) ).
tff(f493,plain,
( spl10_32
<=> leq(sK7,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_32])]) ).
tff(f476,plain,
( spl10_28
<=> sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).
tff(f498,plain,
( spl10_33
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_33])]) ).
tff(f533,plain,
( ~ leq(sK7,minus(n3,n1))
| spl10_28
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f529,f500]) ).
tff(f500,plain,
( leq(n0,sK7)
| ~ spl10_33 ),
inference(avatar_component_clause,[],[f498]) ).
tff(f529,plain,
( ~ leq(sK7,minus(n3,n1))
| ~ leq(n0,sK7)
| spl10_28 ),
inference(resolution,[],[f318,f478]) ).
tff(f478,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7))
| spl10_28 ),
inference(avatar_component_clause,[],[f476]) ).
tff(f318,plain,
! [X1: $i] :
( sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,X1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(equality_proxy_replacement,[],[f280,f305]) ).
tff(f280,plain,
! [X1: $i] :
( ( s_worst7_init = a_select2(s_try7_init,X1) )
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f188,f172]) ).
tff(f188,plain,
! [X1: $i] :
( ( init = a_select2(s_try7_init,X1) )
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f153]) ).
tff(f528,plain,
( ~ spl10_4
| ~ spl10_3
| spl10_2 ),
inference(avatar_split_clause,[],[f527,f361,f366,f371]) ).
tff(f371,plain,
( spl10_4
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
tff(f366,plain,
( spl10_3
<=> leq(sK3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
tff(f361,plain,
( spl10_2
<=> sQ9_eqProxy($i,s_worst7_init,a_select2(s_center7_init,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
tff(f527,plain,
( ~ leq(sK3,n2)
| ~ leq(n0,sK3)
| spl10_2 ),
inference(resolution,[],[f363,f319]) ).
tff(f319,plain,
! [X2: $i] :
( sQ9_eqProxy($i,s_worst7_init,a_select2(s_center7_init,X2))
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f281,f305]) ).
tff(f281,plain,
! [X2: $i] :
( ( s_worst7_init = a_select2(s_center7_init,X2) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f187,f172]) ).
tff(f187,plain,
! [X2: $i] :
( ( init = a_select2(s_center7_init,X2) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f153]) ).
tff(f363,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_center7_init,sK3))
| spl10_2 ),
inference(avatar_component_clause,[],[f361]) ).
tff(f526,plain,
( ~ spl10_8
| ~ spl10_7
| spl10_6 ),
inference(avatar_split_clause,[],[f525,f380,f385,f390]) ).
tff(f390,plain,
( spl10_8
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
tff(f385,plain,
( spl10_7
<=> leq(sK4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
tff(f380,plain,
( spl10_6
<=> sQ9_eqProxy($i,s_worst7_init,a_select2(s_values7_init,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
tff(f525,plain,
( ~ leq(sK4,n3)
| ~ leq(n0,sK4)
| spl10_6 ),
inference(resolution,[],[f320,f382]) ).
tff(f382,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_values7_init,sK4))
| spl10_6 ),
inference(avatar_component_clause,[],[f380]) ).
tff(f320,plain,
! [X3: $i] :
( sQ9_eqProxy($i,s_worst7_init,a_select2(s_values7_init,X3))
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(equality_proxy_replacement,[],[f282,f305]) ).
tff(f282,plain,
! [X3: $i] :
( ( s_worst7_init = a_select2(s_values7_init,X3) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(definition_unfolding,[],[f186,f172]) ).
tff(f186,plain,
! [X3: $i] :
( ( init = a_select2(s_values7_init,X3) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f153]) ).
tff(f524,plain,
spl10_17,
inference(avatar_split_clause,[],[f324,f432]) ).
tff(f432,plain,
( spl10_17
<=> sQ9_eqProxy($i,s_worst7_init,s_worst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
tff(f324,plain,
sQ9_eqProxy($i,s_worst7_init,s_worst7_init),
inference(equality_proxy_replacement,[],[f286,f305]) ).
tff(f286,plain,
s_worst7_init = s_worst7_init,
inference(definition_unfolding,[],[f169,f172,f172]) ).
tff(f169,plain,
init = init,
inference(cnf_transformation,[],[f153]) ).
tff(f523,plain,
spl10_15,
inference(avatar_split_clause,[],[f323,f424]) ).
tff(f424,plain,
( spl10_15
<=> sQ9_eqProxy($i,s_best7_init,s_worst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
tff(f323,plain,
sQ9_eqProxy($i,s_best7_init,s_worst7_init),
inference(equality_proxy_replacement,[],[f285,f305]) ).
tff(f285,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f170,f172]) ).
tff(f170,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f153]) ).
tff(f522,plain,
spl10_16,
inference(avatar_split_clause,[],[f322,f428]) ).
tff(f428,plain,
( spl10_16
<=> sQ9_eqProxy($i,s_sworst7_init,s_worst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
tff(f322,plain,
sQ9_eqProxy($i,s_sworst7_init,s_worst7_init),
inference(equality_proxy_replacement,[],[f284,f305]) ).
tff(f284,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f171,f172]) ).
tff(f171,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f153]) ).
tff(f521,plain,
spl10_18,
inference(avatar_split_clause,[],[f173,f436]) ).
tff(f436,plain,
( spl10_18
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
tff(f173,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f153]) ).
tff(f520,plain,
spl10_19,
inference(avatar_split_clause,[],[f174,f440]) ).
tff(f440,plain,
( spl10_19
<=> leq(n0,s_sworst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
tff(f174,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f153]) ).
tff(f519,plain,
spl10_20,
inference(avatar_split_clause,[],[f175,f444]) ).
tff(f444,plain,
( spl10_20
<=> leq(n0,s_worst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
tff(f175,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f153]) ).
tff(f518,plain,
spl10_21,
inference(avatar_split_clause,[],[f177,f448]) ).
tff(f448,plain,
( spl10_21
<=> leq(n0,pv19) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).
tff(f177,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f153]) ).
tff(f517,plain,
spl10_22,
inference(avatar_split_clause,[],[f178,f452]) ).
tff(f452,plain,
( spl10_22
<=> leq(n0,pv20) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
tff(f178,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f153]) ).
tff(f516,plain,
spl10_23,
inference(avatar_split_clause,[],[f179,f456]) ).
tff(f456,plain,
( spl10_23
<=> leq(s_best7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
tff(f179,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f153]) ).
tff(f515,plain,
spl10_24,
inference(avatar_split_clause,[],[f180,f460]) ).
tff(f460,plain,
( spl10_24
<=> leq(s_sworst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
tff(f180,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f153]) ).
tff(f514,plain,
spl10_25,
inference(avatar_split_clause,[],[f181,f464]) ).
tff(f464,plain,
( spl10_25
<=> leq(s_worst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).
tff(f181,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f153]) ).
tff(f513,plain,
spl10_26,
inference(avatar_split_clause,[],[f183,f468]) ).
tff(f468,plain,
( spl10_26
<=> leq(pv19,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).
tff(f183,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f153]) ).
tff(f512,plain,
spl10_27,
inference(avatar_split_clause,[],[f184,f472]) ).
tff(f472,plain,
( spl10_27
<=> leq(pv20,minus(n330,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).
tff(f184,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f153]) ).
tff(f511,plain,
( ~ spl10_34
| spl10_29 ),
inference(avatar_split_clause,[],[f317,f480,f503]) ).
tff(f503,plain,
( spl10_34
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_34])]) ).
tff(f480,plain,
( spl10_29
<=> sQ9_eqProxy($i,s_worst7_init,pvar1400_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).
tff(f317,plain,
( sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f279,f305]) ).
tff(f279,plain,
( ( s_worst7_init = pvar1400_init )
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f189,f172]) ).
tff(f189,plain,
( ( init = pvar1400_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f153]) ).
tff(f510,plain,
( ~ spl10_34
| spl10_30 ),
inference(avatar_split_clause,[],[f316,f484,f503]) ).
tff(f484,plain,
( spl10_30
<=> sQ9_eqProxy($i,s_worst7_init,pvar1401_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_30])]) ).
tff(f316,plain,
( sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f278,f305]) ).
tff(f278,plain,
( ( s_worst7_init = pvar1401_init )
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f190,f172]) ).
tff(f190,plain,
( ( init = pvar1401_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f153]) ).
tff(f509,plain,
( ~ spl10_34
| spl10_31 ),
inference(avatar_split_clause,[],[f315,f488,f503]) ).
tff(f488,plain,
( spl10_31
<=> sQ9_eqProxy($i,s_worst7_init,pvar1402_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).
tff(f315,plain,
( sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f277,f305]) ).
tff(f277,plain,
( ( s_worst7_init = pvar1402_init )
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f191,f172]) ).
tff(f191,plain,
( ( init = pvar1402_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f153]) ).
tff(f508,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_20
| ~ spl10_21
| ~ spl10_22
| ~ spl10_23
| ~ spl10_24
| ~ spl10_25
| ~ spl10_26
| ~ spl10_27
| spl10_9
| spl10_5
| spl10_1
| spl10_33
| spl10_34 ),
inference(avatar_split_clause,[],[f350,f503,f498,f357,f376,f395,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424]) ).
tff(f395,plain,
( spl10_9
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
tff(f376,plain,
( spl10_5
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
tff(f357,plain,
( spl10_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
tff(f350,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init) ),
inference(duplicate_literal_removal,[],[f314]) ).
tff(f314,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init) ),
inference(equality_proxy_replacement,[],[f276,f305]) ).
tff(f276,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ 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_best7_init != s_worst7_init )
| ( s_worst7_init != s_worst7_init ) ),
inference(definition_unfolding,[],[f192,f172,f172,f172,f172,f172]) ).
tff(f192,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f507,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_20
| ~ spl10_21
| ~ spl10_22
| ~ spl10_23
| ~ spl10_24
| ~ spl10_25
| ~ spl10_26
| ~ spl10_27
| spl10_9
| spl10_5
| spl10_1
| spl10_32
| spl10_34 ),
inference(avatar_split_clause,[],[f351,f503,f493,f357,f376,f395,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424]) ).
tff(f351,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init) ),
inference(duplicate_literal_removal,[],[f313]) ).
tff(f313,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init) ),
inference(equality_proxy_replacement,[],[f275,f305]) ).
tff(f275,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_worst7_init != s_worst7_init )
| ( s_sworst7_init != s_worst7_init )
| ( s_best7_init != s_worst7_init )
| ( s_worst7_init != s_worst7_init ) ),
inference(definition_unfolding,[],[f193,f172,f172,f172,f172,f172]) ).
tff(f193,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f506,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_20
| ~ spl10_21
| ~ spl10_22
| ~ spl10_23
| ~ spl10_24
| ~ spl10_25
| ~ spl10_26
| ~ spl10_27
| spl10_9
| spl10_5
| spl10_1
| ~ spl10_28
| spl10_34 ),
inference(avatar_split_clause,[],[f352,f503,f476,f357,f376,f395,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424]) ).
tff(f352,plain,
( gt(loopcounter,n1)
| ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init) ),
inference(duplicate_literal_removal,[],[f312]) ).
tff(f312,plain,
( gt(loopcounter,n1)
| ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init) ),
inference(equality_proxy_replacement,[],[f274,f305]) ).
tff(f274,plain,
( gt(loopcounter,n1)
| ( s_worst7_init != a_select2(s_try7_init,sK7) )
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ 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_best7_init != s_worst7_init )
| ( s_worst7_init != s_worst7_init ) ),
inference(definition_unfolding,[],[f194,f172,f172,f172,f172,f172,f172]) ).
tff(f194,plain,
( gt(loopcounter,n1)
| ( init != a_select2(s_try7_init,sK7) )
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f501,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_20
| ~ spl10_21
| ~ spl10_22
| ~ spl10_23
| ~ spl10_24
| ~ spl10_25
| ~ spl10_26
| ~ spl10_27
| spl10_9
| spl10_5
| spl10_1
| spl10_33
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(avatar_split_clause,[],[f353,f488,f484,f480,f498,f357,f376,f395,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424]) ).
tff(f353,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init) ),
inference(duplicate_literal_removal,[],[f311]) ).
tff(f311,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init) ),
inference(equality_proxy_replacement,[],[f273,f305]) ).
tff(f273,plain,
( ( s_worst7_init != pvar1402_init )
| ( s_worst7_init != pvar1401_init )
| ( s_worst7_init != pvar1400_init )
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_worst7_init != s_worst7_init )
| ( s_sworst7_init != s_worst7_init )
| ( s_best7_init != s_worst7_init )
| ( s_worst7_init != s_worst7_init ) ),
inference(definition_unfolding,[],[f195,f172,f172,f172,f172,f172,f172,f172,f172]) ).
tff(f195,plain,
( ( init != pvar1402_init )
| ( init != pvar1401_init )
| ( init != pvar1400_init )
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f496,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_20
| ~ spl10_21
| ~ spl10_22
| ~ spl10_23
| ~ spl10_24
| ~ spl10_25
| ~ spl10_26
| ~ spl10_27
| spl10_9
| spl10_5
| spl10_1
| spl10_32
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(avatar_split_clause,[],[f354,f488,f484,f480,f493,f357,f376,f395,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424]) ).
tff(f354,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init) ),
inference(duplicate_literal_removal,[],[f310]) ).
tff(f310,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init) ),
inference(equality_proxy_replacement,[],[f272,f305]) ).
tff(f272,plain,
( ( s_worst7_init != pvar1402_init )
| ( s_worst7_init != pvar1401_init )
| ( s_worst7_init != pvar1400_init )
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ 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_best7_init != s_worst7_init )
| ( s_worst7_init != s_worst7_init ) ),
inference(definition_unfolding,[],[f196,f172,f172,f172,f172,f172,f172,f172,f172]) ).
tff(f196,plain,
( ( init != pvar1402_init )
| ( init != pvar1401_init )
| ( init != pvar1400_init )
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f491,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_20
| ~ spl10_21
| ~ spl10_22
| ~ spl10_23
| ~ spl10_24
| ~ spl10_25
| ~ spl10_26
| ~ spl10_27
| spl10_9
| spl10_5
| spl10_1
| ~ spl10_28
| ~ spl10_29
| ~ spl10_30
| ~ spl10_31 ),
inference(avatar_split_clause,[],[f355,f488,f484,f480,f476,f357,f376,f395,f472,f468,f464,f460,f456,f452,f448,f444,f440,f436,f432,f428,f424]) ).
tff(f355,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init) ),
inference(duplicate_literal_removal,[],[f309]) ).
tff(f309,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7))
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_sworst7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_best7_init,s_worst7_init)
| ~ sQ9_eqProxy($i,s_worst7_init,s_worst7_init) ),
inference(equality_proxy_replacement,[],[f271,f305]) ).
tff(f271,plain,
( ( s_worst7_init != pvar1402_init )
| ( s_worst7_init != pvar1401_init )
| ( s_worst7_init != pvar1400_init )
| ( s_worst7_init != a_select2(s_try7_init,sK7) )
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ 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_best7_init != s_worst7_init )
| ( s_worst7_init != s_worst7_init ) ),
inference(definition_unfolding,[],[f197,f172,f172,f172,f172,f172,f172,f172,f172,f172]) ).
tff(f197,plain,
( ( init != pvar1402_init )
| ( init != pvar1401_init )
| ( init != pvar1400_init )
| ( init != a_select2(s_try7_init,sK7) )
| sP2
| sP1
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f422,plain,
( ~ spl10_9
| spl10_14 ),
inference(avatar_split_clause,[],[f164,f419,f395]) ).
tff(f164,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f150]) ).
tff(f150,plain,
( ( ( init != a_select3(simplex7_init,sK6,sK5) )
& leq(sK6,n3)
& leq(n0,sK6)
& leq(sK5,n2)
& leq(n0,sK5) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f147,f149,f148]) ).
tff(f148,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,sK5) )
& leq(X1,n3)
& leq(n0,X1) )
& leq(sK5,n2)
& leq(n0,sK5) ) ),
introduced(choice_axiom,[]) ).
tff(f149,plain,
( ? [X1] :
( ( init != a_select3(simplex7_init,X1,sK5) )
& leq(X1,n3)
& leq(n0,X1) )
=> ( ( init != a_select3(simplex7_init,sK6,sK5) )
& leq(sK6,n3)
& leq(n0,sK6) ) ),
introduced(choice_axiom,[]) ).
tff(f147,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,[],[f146]) ).
tff(f146,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,[],[f134]) ).
tff(f417,plain,
( ~ spl10_9
| spl10_13 ),
inference(avatar_split_clause,[],[f165,f414,f395]) ).
tff(f165,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f150]) ).
tff(f412,plain,
( ~ spl10_9
| spl10_12 ),
inference(avatar_split_clause,[],[f166,f409,f395]) ).
tff(f166,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f150]) ).
tff(f407,plain,
( ~ spl10_9
| spl10_11 ),
inference(avatar_split_clause,[],[f167,f404,f395]) ).
tff(f167,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f150]) ).
tff(f402,plain,
( ~ spl10_9
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f308,f399,f395]) ).
tff(f308,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select3(simplex7_init,sK6,sK5))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f270,f305]) ).
tff(f270,plain,
( ( s_worst7_init != a_select3(simplex7_init,sK6,sK5) )
| ~ sP0 ),
inference(definition_unfolding,[],[f168,f172]) ).
tff(f168,plain,
( ( init != a_select3(simplex7_init,sK6,sK5) )
| ~ sP0 ),
inference(cnf_transformation,[],[f150]) ).
tff(f393,plain,
( ~ spl10_5
| spl10_8 ),
inference(avatar_split_clause,[],[f161,f390,f376]) ).
tff(f161,plain,
( leq(n0,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
tff(f145,plain,
( ( ( init != a_select2(s_values7_init,sK4) )
& leq(sK4,n3)
& leq(n0,sK4) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f143,f144]) ).
tff(f144,plain,
( ? [X0] :
( ( init != a_select2(s_values7_init,X0) )
& leq(X0,n3)
& leq(n0,X0) )
=> ( ( init != a_select2(s_values7_init,sK4) )
& leq(sK4,n3)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
tff(f143,plain,
( ? [X0] :
( ( init != a_select2(s_values7_init,X0) )
& leq(X0,n3)
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f142]) ).
tff(f142,plain,
( ? [X7] :
( ( init != a_select2(s_values7_init,X7) )
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP1 ),
inference(nnf_transformation,[],[f135]) ).
tff(f388,plain,
( ~ spl10_5
| spl10_7 ),
inference(avatar_split_clause,[],[f162,f385,f376]) ).
tff(f162,plain,
( leq(sK4,n3)
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
tff(f383,plain,
( ~ spl10_5
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f307,f380,f376]) ).
tff(f307,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_values7_init,sK4))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f269,f305]) ).
tff(f269,plain,
( ( s_worst7_init != a_select2(s_values7_init,sK4) )
| ~ sP1 ),
inference(definition_unfolding,[],[f163,f172]) ).
tff(f163,plain,
( ( init != a_select2(s_values7_init,sK4) )
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
tff(f374,plain,
( ~ spl10_1
| spl10_4 ),
inference(avatar_split_clause,[],[f158,f371,f357]) ).
tff(f158,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f141]) ).
tff(f141,plain,
( ( ( init != a_select2(s_center7_init,sK3) )
& leq(sK3,n2)
& leq(n0,sK3) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f139,f140]) ).
tff(f140,plain,
( ? [X0] :
( ( init != a_select2(s_center7_init,X0) )
& leq(X0,n2)
& leq(n0,X0) )
=> ( ( init != a_select2(s_center7_init,sK3) )
& leq(sK3,n2)
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
tff(f139,plain,
( ? [X0] :
( ( init != a_select2(s_center7_init,X0) )
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f138]) ).
tff(f138,plain,
( ? [X6] :
( ( init != a_select2(s_center7_init,X6) )
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP2 ),
inference(nnf_transformation,[],[f136]) ).
tff(f369,plain,
( ~ spl10_1
| spl10_3 ),
inference(avatar_split_clause,[],[f159,f366,f357]) ).
tff(f159,plain,
( leq(sK3,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f141]) ).
tff(f364,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f306,f361,f357]) ).
tff(f306,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_center7_init,sK3))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f268,f305]) ).
tff(f268,plain,
( ( s_worst7_init != a_select2(s_center7_init,sK3) )
| ~ sP2 ),
inference(definition_unfolding,[],[f160,f172]) ).
tff(f160,plain,
( ( init != a_select2(s_center7_init,sK3) )
| ~ sP2 ),
inference(cnf_transformation,[],[f141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : SWV025+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:05:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.hoI58GC8Oo/Vampire---4.8_23686
% 0.57/0.75 % (23944)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)
% 0.57/0.75 % (23938)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)
% 0.57/0.75 % (23940)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (23941)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)
% 0.57/0.75 % (23939)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)
% 0.57/0.75 % (23942)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)
% 0.57/0.75 % (23943)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)
% 0.57/0.75 % (23938)First to succeed.
% 0.57/0.76 % (23940)Also succeeded, but the first one will report.
% 0.57/0.76 % (23938)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23934"
% 0.57/0.76 % (23938)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (23938)------------------------------
% 0.57/0.76 % (23938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (23938)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (23938)Memory used [KB]: 1241
% 0.57/0.76 % (23938)Time elapsed: 0.011 s
% 0.57/0.76 % (23938)Instructions burned: 18 (million)
% 0.57/0.76 % (23934)Success in time 0.373 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------