TSTP Solution File: SWV026+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV026+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 : n031.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 04:02:14 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 47
% Syntax : Number of formulae : 205 ( 38 unt; 1 typ; 0 def)
% Number of atoms : 4206 ( 287 equ)
% Maximal formula atoms : 70 ( 20 avg)
% Number of connectives : 2223 ( 849 ~; 913 |; 380 &)
% ( 37 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 2628 (2628 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 77 ( 75 usr; 70 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(f553,plain,
$false,
inference(avatar_sat_refutation,[],[f366,f371,f376,f385,f390,f395,f404,f409,f414,f419,f424,f501,f506,f511,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f527,f528,f529,f530,f531,f532,f533,f534,f535,f536,f538,f540,f546,f552]) ).
tff(f552,plain,
( spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14 ),
inference(avatar_contradiction_clause,[],[f551]) ).
tff(f551,plain,
( $false
| spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14 ),
inference(subsumption_resolution,[],[f550,f423]) ).
tff(f423,plain,
( leq(n0,sK5)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f421]) ).
tff(f421,plain,
( spl10_14
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
tff(f550,plain,
( ~ leq(n0,sK5)
| spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f549,f418]) ).
tff(f418,plain,
( leq(sK5,n2)
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f416]) ).
tff(f416,plain,
( spl10_13
<=> leq(sK5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
tff(f549,plain,
( ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl10_10
| ~ spl10_11
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f548,f413]) ).
tff(f413,plain,
( leq(n0,sK6)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f411]) ).
tff(f411,plain,
( spl10_12
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
tff(f548,plain,
( ~ leq(n0,sK6)
| ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl10_10
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f547,f408]) ).
tff(f408,plain,
( leq(sK6,n3)
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f406]) ).
tff(f406,plain,
( spl10_11
<=> leq(sK6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
tff(f547,plain,
( ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| spl10_10 ),
inference(resolution,[],[f323,f403]) ).
tff(f403,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select3(simplex7_init,sK6,sK5))
| spl10_10 ),
inference(avatar_component_clause,[],[f401]) ).
tff(f401,plain,
( spl10_10
<=> sQ9_eqProxy($i,s_worst7_init,a_select3(simplex7_init,sK6,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
tff(f323,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,[],[f285,f307]) ).
tff(f307,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ9_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ9_eqProxy])]) ).
tff(f285,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,[],[f187,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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv9,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv9)
& 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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv9,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv9)
& 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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv9,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv9)
& 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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv9,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv9)
& 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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv9,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv9)
& 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv9,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv9)
& 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv9,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv9)
& 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv9,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv9)
& 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(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& 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.27eta5w5C5/Vampire---4.8_25878',gauss_init_0017) ).
tff(f187,plain,
! [X4: $i,X5: $i] :
( ( init = a_select3(simplex7_init,X5,X4) )
| ~ leq(X5,n3)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f153]) ).
tff(f546,plain,
( ~ spl10_34
| spl10_30
| ~ spl10_35 ),
inference(avatar_split_clause,[],[f545,f508,f486,f503]) ).
tff(f503,plain,
( spl10_34
<=> leq(sK7,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_34])]) ).
tff(f486,plain,
( spl10_30
<=> sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_30])]) ).
tff(f508,plain,
( spl10_35
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_35])]) ).
tff(f545,plain,
( ~ leq(sK7,minus(n3,n1))
| spl10_30
| ~ spl10_35 ),
inference(subsumption_resolution,[],[f541,f510]) ).
tff(f510,plain,
( leq(n0,sK7)
| ~ spl10_35 ),
inference(avatar_component_clause,[],[f508]) ).
tff(f541,plain,
( ~ leq(sK7,minus(n3,n1))
| ~ leq(n0,sK7)
| spl10_30 ),
inference(resolution,[],[f320,f488]) ).
tff(f488,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7))
| spl10_30 ),
inference(avatar_component_clause,[],[f486]) ).
tff(f320,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,[],[f282,f307]) ).
tff(f282,plain,
! [X1: $i] :
( ( s_worst7_init = a_select2(s_try7_init,X1) )
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f190,f172]) ).
tff(f190,plain,
! [X1: $i] :
( ( init = a_select2(s_try7_init,X1) )
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f153]) ).
tff(f540,plain,
( ~ spl10_4
| ~ spl10_3
| spl10_2 ),
inference(avatar_split_clause,[],[f539,f363,f368,f373]) ).
tff(f373,plain,
( spl10_4
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
tff(f368,plain,
( spl10_3
<=> leq(sK3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
tff(f363,plain,
( spl10_2
<=> sQ9_eqProxy($i,s_worst7_init,a_select2(s_center7_init,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
tff(f539,plain,
( ~ leq(sK3,n2)
| ~ leq(n0,sK3)
| spl10_2 ),
inference(resolution,[],[f365,f321]) ).
tff(f321,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,[],[f283,f307]) ).
tff(f283,plain,
! [X2: $i] :
( ( s_worst7_init = a_select2(s_center7_init,X2) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f189,f172]) ).
tff(f189,plain,
! [X2: $i] :
( ( init = a_select2(s_center7_init,X2) )
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f153]) ).
tff(f365,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_center7_init,sK3))
| spl10_2 ),
inference(avatar_component_clause,[],[f363]) ).
tff(f538,plain,
( ~ spl10_8
| ~ spl10_7
| spl10_6 ),
inference(avatar_split_clause,[],[f537,f382,f387,f392]) ).
tff(f392,plain,
( spl10_8
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
tff(f387,plain,
( spl10_7
<=> leq(sK4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
tff(f382,plain,
( spl10_6
<=> sQ9_eqProxy($i,s_worst7_init,a_select2(s_values7_init,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
tff(f537,plain,
( ~ leq(sK4,n3)
| ~ leq(n0,sK4)
| spl10_6 ),
inference(resolution,[],[f322,f384]) ).
tff(f384,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_values7_init,sK4))
| spl10_6 ),
inference(avatar_component_clause,[],[f382]) ).
tff(f322,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,[],[f284,f307]) ).
tff(f284,plain,
! [X3: $i] :
( ( s_worst7_init = a_select2(s_values7_init,X3) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(definition_unfolding,[],[f188,f172]) ).
tff(f188,plain,
! [X3: $i] :
( ( init = a_select2(s_values7_init,X3) )
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f153]) ).
tff(f536,plain,
spl10_17,
inference(avatar_split_clause,[],[f326,f434]) ).
tff(f434,plain,
( spl10_17
<=> sQ9_eqProxy($i,s_worst7_init,s_worst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
tff(f326,plain,
sQ9_eqProxy($i,s_worst7_init,s_worst7_init),
inference(equality_proxy_replacement,[],[f288,f307]) ).
tff(f288,plain,
s_worst7_init = s_worst7_init,
inference(definition_unfolding,[],[f169,f172,f172]) ).
tff(f169,plain,
init = init,
inference(cnf_transformation,[],[f153]) ).
tff(f535,plain,
spl10_15,
inference(avatar_split_clause,[],[f325,f426]) ).
tff(f426,plain,
( spl10_15
<=> sQ9_eqProxy($i,s_best7_init,s_worst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
tff(f325,plain,
sQ9_eqProxy($i,s_best7_init,s_worst7_init),
inference(equality_proxy_replacement,[],[f287,f307]) ).
tff(f287,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f170,f172]) ).
tff(f170,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f153]) ).
tff(f534,plain,
spl10_16,
inference(avatar_split_clause,[],[f324,f430]) ).
tff(f430,plain,
( spl10_16
<=> sQ9_eqProxy($i,s_sworst7_init,s_worst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
tff(f324,plain,
sQ9_eqProxy($i,s_sworst7_init,s_worst7_init),
inference(equality_proxy_replacement,[],[f286,f307]) ).
tff(f286,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f171,f172]) ).
tff(f171,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f153]) ).
tff(f533,plain,
spl10_18,
inference(avatar_split_clause,[],[f173,f438]) ).
tff(f438,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(f532,plain,
spl10_19,
inference(avatar_split_clause,[],[f174,f442]) ).
tff(f442,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(f531,plain,
spl10_20,
inference(avatar_split_clause,[],[f175,f446]) ).
tff(f446,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(f530,plain,
spl10_21,
inference(avatar_split_clause,[],[f177,f450]) ).
tff(f450,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(f529,plain,
spl10_22,
inference(avatar_split_clause,[],[f178,f454]) ).
tff(f454,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(f528,plain,
spl10_23,
inference(avatar_split_clause,[],[f179,f458]) ).
tff(f458,plain,
( spl10_23
<=> leq(n0,pv1376) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
tff(f179,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f153]) ).
tff(f527,plain,
spl10_24,
inference(avatar_split_clause,[],[f180,f462]) ).
tff(f462,plain,
( spl10_24
<=> leq(s_best7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
tff(f180,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f153]) ).
tff(f526,plain,
spl10_25,
inference(avatar_split_clause,[],[f181,f466]) ).
tff(f466,plain,
( spl10_25
<=> leq(s_sworst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).
tff(f181,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f153]) ).
tff(f525,plain,
spl10_26,
inference(avatar_split_clause,[],[f182,f470]) ).
tff(f470,plain,
( spl10_26
<=> leq(s_worst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).
tff(f182,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f153]) ).
tff(f524,plain,
spl10_27,
inference(avatar_split_clause,[],[f184,f474]) ).
tff(f474,plain,
( spl10_27
<=> leq(pv19,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).
tff(f184,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f153]) ).
tff(f523,plain,
spl10_28,
inference(avatar_split_clause,[],[f185,f478]) ).
tff(f478,plain,
( spl10_28
<=> leq(pv20,minus(n330,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).
tff(f185,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f153]) ).
tff(f522,plain,
spl10_29,
inference(avatar_split_clause,[],[f186,f482]) ).
tff(f482,plain,
( spl10_29
<=> leq(pv1376,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).
tff(f186,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f153]) ).
tff(f521,plain,
( ~ spl10_36
| spl10_31 ),
inference(avatar_split_clause,[],[f319,f490,f513]) ).
tff(f513,plain,
( spl10_36
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_36])]) ).
tff(f490,plain,
( spl10_31
<=> sQ9_eqProxy($i,s_worst7_init,pvar1400_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).
tff(f319,plain,
( sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f281,f307]) ).
tff(f281,plain,
( ( s_worst7_init = pvar1400_init )
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f191,f172]) ).
tff(f191,plain,
( ( init = pvar1400_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f153]) ).
tff(f520,plain,
( ~ spl10_36
| spl10_32 ),
inference(avatar_split_clause,[],[f318,f494,f513]) ).
tff(f494,plain,
( spl10_32
<=> sQ9_eqProxy($i,s_worst7_init,pvar1401_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_32])]) ).
tff(f318,plain,
( sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f280,f307]) ).
tff(f280,plain,
( ( s_worst7_init = pvar1401_init )
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f192,f172]) ).
tff(f192,plain,
( ( init = pvar1401_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f153]) ).
tff(f519,plain,
( ~ spl10_36
| spl10_33 ),
inference(avatar_split_clause,[],[f317,f498,f513]) ).
tff(f498,plain,
( spl10_33
<=> sQ9_eqProxy($i,s_worst7_init,pvar1402_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_33])]) ).
tff(f317,plain,
( sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f279,f307]) ).
tff(f279,plain,
( ( s_worst7_init = pvar1402_init )
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f193,f172]) ).
tff(f193,plain,
( ( init = pvar1402_init )
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f153]) ).
tff(f518,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_20
| ~ spl10_21
| ~ spl10_22
| ~ spl10_23
| ~ spl10_24
| ~ spl10_25
| ~ spl10_26
| ~ spl10_27
| ~ spl10_28
| ~ spl10_29
| spl10_9
| spl10_5
| spl10_1
| spl10_35
| spl10_36 ),
inference(avatar_split_clause,[],[f352,f513,f508,f359,f378,f397,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426]) ).
tff(f397,plain,
( spl10_9
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
tff(f378,plain,
( spl10_5
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
tff(f359,plain,
( spl10_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
tff(f352,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($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,[],[f316]) ).
tff(f316,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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,[],[f278,f307]) ).
tff(f278,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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]) ).
tff(f194,plain,
( gt(loopcounter,n1)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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(f517,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_28
| ~ spl10_29
| spl10_9
| spl10_5
| spl10_1
| spl10_34
| spl10_36 ),
inference(avatar_split_clause,[],[f353,f513,f503,f359,f378,f397,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426]) ).
tff(f353,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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($i,s_best7_init,s_worst7_init) ),
inference(duplicate_literal_removal,[],[f315]) ).
tff(f315,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($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($i,s_worst7_init,s_worst7_init) ),
inference(equality_proxy_replacement,[],[f277,f307]) ).
tff(f277,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_worst7_init != s_worst7_init )
| ( s_sworst7_init != s_worst7_init )
| ( s_best7_init != s_worst7_init )
| ( s_worst7_init != s_worst7_init ) ),
inference(definition_unfolding,[],[f195,f172,f172,f172,f172,f172]) ).
tff(f195,plain,
( gt(loopcounter,n1)
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f516,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_20
| ~ spl10_21
| ~ spl10_22
| ~ spl10_23
| ~ spl10_24
| ~ spl10_25
| ~ spl10_26
| ~ spl10_27
| ~ spl10_28
| ~ spl10_29
| spl10_9
| spl10_5
| spl10_1
| ~ spl10_30
| spl10_36 ),
inference(avatar_split_clause,[],[f354,f513,f486,f359,f378,f397,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426]) ).
tff(f354,plain,
( gt(loopcounter,n1)
| ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7))
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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($i,s_best7_init,s_worst7_init) ),
inference(duplicate_literal_removal,[],[f314]) ).
tff(f314,plain,
( gt(loopcounter,n1)
| ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7))
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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,f307]) ).
tff(f276,plain,
( gt(loopcounter,n1)
| ( s_worst7_init != a_select2(s_try7_init,sK7) )
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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]) ).
tff(f196,plain,
( gt(loopcounter,n1)
| ( init != a_select2(s_try7_init,sK7) )
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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(f511,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_28
| ~ spl10_29
| spl10_9
| spl10_5
| spl10_1
| spl10_35
| ~ spl10_31
| ~ spl10_32
| ~ spl10_33 ),
inference(avatar_split_clause,[],[f355,f498,f494,f490,f508,f359,f378,f397,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426]) ).
tff(f355,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($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,
( ~ sQ9_eqProxy($i,s_worst7_init,pvar1402_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1401_init)
| ~ sQ9_eqProxy($i,s_worst7_init,pvar1400_init)
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($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($i,s_worst7_init,s_worst7_init) ),
inference(equality_proxy_replacement,[],[f275,f307]) ).
tff(f275,plain,
( ( s_worst7_init != pvar1402_init )
| ( s_worst7_init != pvar1401_init )
| ( s_worst7_init != pvar1400_init )
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( s_worst7_init != s_worst7_init )
| ( s_sworst7_init != s_worst7_init )
| ( s_best7_init != s_worst7_init )
| ( s_worst7_init != s_worst7_init ) ),
inference(definition_unfolding,[],[f197,f172,f172,f172,f172,f172,f172,f172,f172]) ).
tff(f197,plain,
( ( init != pvar1402_init )
| ( init != pvar1401_init )
| ( init != pvar1400_init )
| leq(n0,sK7)
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ( init != s_worst7_init )
| ( init != s_sworst7_init )
| ( init != s_best7_init )
| ( init != init ) ),
inference(cnf_transformation,[],[f153]) ).
tff(f506,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_20
| ~ spl10_21
| ~ spl10_22
| ~ spl10_23
| ~ spl10_24
| ~ spl10_25
| ~ spl10_26
| ~ spl10_27
| ~ spl10_28
| ~ spl10_29
| spl10_9
| spl10_5
| spl10_1
| spl10_34
| ~ spl10_31
| ~ spl10_32
| ~ spl10_33 ),
inference(avatar_split_clause,[],[f356,f498,f494,f490,f503,f359,f378,f397,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426]) ).
tff(f356,plain,
( ~ sQ9_eqProxy($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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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($i,s_best7_init,s_worst7_init) ),
inference(duplicate_literal_removal,[],[f312]) ).
tff(f312,plain,
( ~ sQ9_eqProxy($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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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,f307]) ).
tff(f274,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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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,[],[f198,f172,f172,f172,f172,f172,f172,f172,f172]) ).
tff(f198,plain,
( ( init != pvar1402_init )
| ( init != pvar1401_init )
| ( init != pvar1400_init )
| leq(sK7,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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_28
| ~ spl10_29
| spl10_9
| spl10_5
| spl10_1
| ~ spl10_30
| ~ spl10_31
| ~ spl10_32
| ~ spl10_33 ),
inference(avatar_split_clause,[],[f357,f498,f494,f490,f486,f359,f378,f397,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426]) ).
tff(f357,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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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)
| ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_try7_init,sK7))
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ sQ9_eqProxy($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,f307]) ).
tff(f273,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(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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,[],[f199,f172,f172,f172,f172,f172,f172,f172,f172,f172]) ).
tff(f199,plain,
( ( init != pvar1402_init )
| ( init != pvar1401_init )
| ( init != pvar1400_init )
| ( init != a_select2(s_try7_init,sK7) )
| sP2
| sP1
| sP0
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ 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(f424,plain,
( ~ spl10_9
| spl10_14 ),
inference(avatar_split_clause,[],[f164,f421,f397]) ).
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(f419,plain,
( ~ spl10_9
| spl10_13 ),
inference(avatar_split_clause,[],[f165,f416,f397]) ).
tff(f165,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f150]) ).
tff(f414,plain,
( ~ spl10_9
| spl10_12 ),
inference(avatar_split_clause,[],[f166,f411,f397]) ).
tff(f166,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f150]) ).
tff(f409,plain,
( ~ spl10_9
| spl10_11 ),
inference(avatar_split_clause,[],[f167,f406,f397]) ).
tff(f167,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f150]) ).
tff(f404,plain,
( ~ spl10_9
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f310,f401,f397]) ).
tff(f310,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select3(simplex7_init,sK6,sK5))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f272,f307]) ).
tff(f272,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(f395,plain,
( ~ spl10_5
| spl10_8 ),
inference(avatar_split_clause,[],[f161,f392,f378]) ).
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(f390,plain,
( ~ spl10_5
| spl10_7 ),
inference(avatar_split_clause,[],[f162,f387,f378]) ).
tff(f162,plain,
( leq(sK4,n3)
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
tff(f385,plain,
( ~ spl10_5
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f309,f382,f378]) ).
tff(f309,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_values7_init,sK4))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f271,f307]) ).
tff(f271,plain,
( ( s_worst7_init != a_select2(s_values7_init,sK4) )
| ~ sP1 ),
inference(definition_unfolding,[],[f163,f172]) ).
tff(f163,plain,
( ( init != a_select2(s_values7_init,sK4) )
| ~ sP1 ),
inference(cnf_transformation,[],[f145]) ).
tff(f376,plain,
( ~ spl10_1
| spl10_4 ),
inference(avatar_split_clause,[],[f158,f373,f359]) ).
tff(f158,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f141]) ).
tff(f141,plain,
( ( ( init != a_select2(s_center7_init,sK3) )
& leq(sK3,n2)
& leq(n0,sK3) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f139,f140]) ).
tff(f140,plain,
( ? [X0] :
( ( init != a_select2(s_center7_init,X0) )
& leq(X0,n2)
& leq(n0,X0) )
=> ( ( init != a_select2(s_center7_init,sK3) )
& leq(sK3,n2)
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
tff(f139,plain,
( ? [X0] :
( ( init != a_select2(s_center7_init,X0) )
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f138]) ).
tff(f138,plain,
( ? [X6] :
( ( init != a_select2(s_center7_init,X6) )
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP2 ),
inference(nnf_transformation,[],[f136]) ).
tff(f371,plain,
( ~ spl10_1
| spl10_3 ),
inference(avatar_split_clause,[],[f159,f368,f359]) ).
tff(f159,plain,
( leq(sK3,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f141]) ).
tff(f366,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f308,f363,f359]) ).
tff(f308,plain,
( ~ sQ9_eqProxy($i,s_worst7_init,a_select2(s_center7_init,sK3))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f270,f307]) ).
tff(f270,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
% 0.04/0.13 % Problem : SWV026+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.15 % 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 : n031.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 : Tue Apr 30 19:07:59 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.27eta5w5C5/Vampire---4.8_25878
% 0.58/0.75 % (26165)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)
% 0.58/0.75 % (26159)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)
% 0.58/0.75 % (26161)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (26160)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)
% 0.58/0.75 % (26164)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)
% 0.58/0.75 % (26162)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)
% 0.58/0.75 % (26166)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)
% 0.58/0.75 % (26163)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)
% 0.58/0.75 % (26159)First to succeed.
% 0.58/0.76 % (26161)Also succeeded, but the first one will report.
% 0.58/0.76 % (26159)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (26159)------------------------------
% 0.58/0.76 % (26159)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (26159)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (26159)Memory used [KB]: 1244
% 0.58/0.76 % (26159)Time elapsed: 0.011 s
% 0.58/0.76 % (26159)Instructions burned: 19 (million)
% 0.58/0.76 % (26159)------------------------------
% 0.58/0.76 % (26159)------------------------------
% 0.58/0.76 % (26155)Success in time 0.384 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------