TSTP Solution File: SWV034+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV034+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:43:56 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of formulae : 204 ( 18 unt; 0 def)
% Number of atoms : 1705 ( 441 equ)
% Maximal formula atoms : 59 ( 8 avg)
% Number of connectives : 2437 ( 936 ~;1128 |; 312 &)
% ( 17 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 21 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 26 con; 0-3 aty)
% Number of variables : 101 ( 70 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f668,plain,
$false,
inference(avatar_sat_refutation,[],[f340,f350,f360,f391,f398,f416,f417,f418,f420,f421,f423,f425,f439,f453,f459,f465,f565,f632,f645,f667]) ).
fof(f667,plain,
( spl9_9
| ~ spl9_16
| ~ spl9_17 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f666,plain,
( $false
| spl9_9
| ~ spl9_16
| ~ spl9_17 ),
inference(subsumption_resolution,[],[f658,f378]) ).
fof(f378,plain,
( s_sworst7_init != a_select2(s_center7_init,sK7)
| spl9_9 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl9_9
<=> s_sworst7_init = a_select2(s_center7_init,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f658,plain,
( s_sworst7_init = a_select2(s_center7_init,sK7)
| ~ spl9_16
| ~ spl9_17 ),
inference(unit_resulting_resolution,[],[f438,f452,f440]) ).
fof(f440,plain,
! [X1] :
( ~ leq(n0,X1)
| s_sworst7_init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2) ),
inference(forward_demodulation,[],[f285,f291]) ).
fof(f291,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f198,f210]) ).
fof(f210,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( init = s_worst7_init
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& ! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
& leq(n0,pv19)
& leq(n0,s_best7)
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ( ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init )
| ~ gt(loopcounter,n1) )
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,minus(n3,n1))
| init = a_select2(s_try7_init,X2) )
& ! [X3] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) ) )
& init = s_sworst7_init
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& s_best7_init = init
& ( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| ( gt(loopcounter,n1)
& ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ) )
| ~ leq(n0,pv19)
| ( leq(n0,sK7)
& leq(sK7,n2)
& init != a_select2(s_center7_init,sK7) )
| init != s_worst7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| init != init
| sP1
| ~ leq(n0,s_sworst7) )
& leq(s_best7,n3)
& leq(n0,s_sworst7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f149,f150]) ).
fof(f150,plain,
( ? [X5] :
( leq(n0,X5)
& leq(X5,n2)
& init != a_select2(s_center7_init,X5) )
=> ( leq(n0,sK7)
& leq(sK7,n2)
& init != a_select2(s_center7_init,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( init = s_worst7_init
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& ! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
& leq(n0,pv19)
& leq(n0,s_best7)
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ( ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init )
| ~ gt(loopcounter,n1) )
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,minus(n3,n1))
| init = a_select2(s_try7_init,X2) )
& ! [X3] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) ) )
& init = s_sworst7_init
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& s_best7_init = init
& ( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| ( gt(loopcounter,n1)
& ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ) )
| ~ leq(n0,pv19)
| ? [X5] :
( leq(n0,X5)
& leq(X5,n2)
& init != a_select2(s_center7_init,X5) )
| init != s_worst7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| init != init
| sP1
| ~ leq(n0,s_sworst7) )
& leq(s_best7,n3)
& leq(n0,s_sworst7) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
( init = s_worst7_init
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& ! [X4] :
( init = a_select2(s_values7_init,X4)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
& leq(n0,pv19)
& leq(n0,s_best7)
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& ( ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1))
| init = a_select2(s_try7_init,X3) )
& ! [X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ) )
& init = s_sworst7_init
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& s_best7_init = init
& ( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| ( gt(loopcounter,n1)
& ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ) )
| ~ leq(n0,pv19)
| ? [X5] :
( leq(n0,X5)
& leq(X5,n2)
& init != a_select2(s_center7_init,X5) )
| init != s_worst7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| init != init
| sP1
| ~ leq(n0,s_sworst7) )
& leq(s_best7,n3)
& leq(n0,s_sworst7) ),
inference(definition_folding,[],[f108,f133,f132,f131]) ).
fof(f131,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f132,plain,
( ? [X6] :
( leq(n0,X6)
& init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f133,plain,
( ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(s_values7_init,X7) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f108,plain,
( init = s_worst7_init
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& ! [X4] :
( init = a_select2(s_values7_init,X4)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
& leq(n0,pv19)
& leq(n0,s_best7)
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& ( ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1))
| init = a_select2(s_try7_init,X3) )
& ! [X1] :
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2) ) )
& init = s_sworst7_init
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& s_best7_init = init
& ( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| ( gt(loopcounter,n1)
& ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ) )
| ~ leq(n0,pv19)
| ? [X5] :
( leq(n0,X5)
& leq(X5,n2)
& init != a_select2(s_center7_init,X5) )
| init != s_worst7_init
| ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(s_values7_init,X7) )
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(n0,X8)
& leq(X8,n2) )
| ~ leq(pv19,minus(n410,n1))
| init != init
| ? [X6] :
( leq(n0,X6)
& init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1)) )
| ~ leq(n0,s_sworst7) )
& leq(s_best7,n3)
& leq(n0,s_sworst7) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
( ( ~ leq(n0,s_best7)
| ~ leq(s_sworst7,n3)
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(n0,X7)
& leq(X7,n3) )
| ( gt(loopcounter,n1)
& ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ) )
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7)
| s_best7_init != init
| ? [X6] :
( init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1))
& leq(n0,X6) )
| init != init
| ~ leq(s_best7,n3)
| ? [X5] :
( init != a_select2(s_center7_init,X5)
& leq(X5,n2)
& leq(n0,X5) )
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_worst7)
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(n0,X9)
& leq(X9,n3) )
& leq(X8,n2)
& leq(n0,X8) ) )
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& init = s_worst7_init
& leq(s_worst7,n3)
& leq(s_best7,n3)
& init = s_sworst7_init
& ! [X3] :
( init = a_select2(s_try7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1)) )
& leq(pv19,minus(n410,n1))
& leq(n0,pv19)
& ( ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init )
| ~ gt(loopcounter,n1) )
& leq(s_sworst7,n3)
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& ! [X4] :
( init = a_select2(s_values7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n3) )
& leq(n0,s_best7)
& s_best7_init = init ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> init = a_select2(s_center7_init,X0) )
& init = s_worst7_init
& leq(s_worst7,n3)
& leq(s_best7,n3)
& init = s_sworst7_init
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X3) )
& leq(pv19,minus(n410,n1))
& leq(n0,pv19)
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& leq(s_sworst7,n3)
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> init = a_select3(simplex7_init,X2,X1) ) )
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> init = a_select2(s_values7_init,X4) )
& leq(n0,s_best7)
& s_best7_init = init )
=> ( leq(n0,s_best7)
& leq(s_sworst7,n3)
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n3) )
=> init = a_select2(s_values7_init,X7) )
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1402_init
& init = pvar1400_init ) )
& init = s_sworst7_init
& init = s_worst7_init
& leq(n0,pv19)
& leq(n0,s_sworst7)
& s_best7_init = init
& ! [X6] :
( ( leq(X6,minus(n3,n1))
& leq(n0,X6) )
=> init = a_select2(s_try7_init,X6) )
& init = init
& leq(s_best7,n3)
& ! [X5] :
( ( leq(X5,n2)
& leq(n0,X5) )
=> init = a_select2(s_center7_init,X5) )
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& leq(n0,s_worst7)
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n3) )
=> init = a_select3(simplex7_init,X9,X8) ) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(s_best7,n3)
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n2) )
=> init = a_select2(s_center7_init,X19) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(s_sworst7,n3)
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& leq(n0,s_best7)
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& leq(s_worst7,n3)
& init = s_sworst7_init
& s_best7_init = init
& leq(n0,s_sworst7)
& init = s_worst7_init
& leq(pv19,minus(n410,n1)) )
=> ( leq(s_sworst7,n3)
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n2) )
=> init = a_select2(s_center7_init,X4) )
& leq(s_worst7,n3)
& leq(n0,s_worst7)
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& leq(s_best7,n3)
& leq(n0,s_sworst7)
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1402_init
& init = pvar1400_init ) )
& init = s_worst7_init
& leq(pv19,minus(n410,n1))
& init = init
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n3) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(n0,s_best7)
& s_best7_init = init
& init = s_sworst7_init
& leq(n0,pv19) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(s_best7,n3)
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n2) )
=> init = a_select2(s_center7_init,X19) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(s_sworst7,n3)
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& leq(n0,s_best7)
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& leq(s_worst7,n3)
& init = s_sworst7_init
& s_best7_init = init
& leq(n0,s_sworst7)
& init = s_worst7_init
& leq(pv19,minus(n410,n1)) )
=> ( leq(s_sworst7,n3)
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n2) )
=> init = a_select2(s_center7_init,X4) )
& leq(s_worst7,n3)
& leq(n0,s_worst7)
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& leq(s_best7,n3)
& leq(n0,s_sworst7)
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1402_init
& init = pvar1400_init ) )
& init = s_worst7_init
& leq(pv19,minus(n410,n1))
& init = init
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n3) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(n0,s_best7)
& s_best7_init = init
& init = s_sworst7_init
& leq(n0,pv19) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0049) ).
fof(f198,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f151]) ).
fof(f285,plain,
! [X1] :
( ~ leq(X1,n2)
| s_worst7_init = a_select2(s_center7_init,X1)
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f204,f210]) ).
fof(f204,plain,
! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f452,plain,
( leq(n0,sK7)
| ~ spl9_17 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl9_17
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).
fof(f438,plain,
( leq(sK7,n2)
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f436,plain,
( spl9_16
<=> leq(sK7,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f645,plain,
( ~ spl9_12
| spl9_13 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f644,plain,
( $false
| ~ spl9_12
| spl9_13 ),
inference(subsumption_resolution,[],[f641,f634]) ).
fof(f634,plain,
( leq(sK4,minus(n3,n1))
| ~ spl9_12 ),
inference(unit_resulting_resolution,[],[f390,f179]) ).
fof(f179,plain,
( leq(sK4,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( leq(n0,sK4)
& init != a_select2(s_try7_init,sK4)
& leq(sK4,minus(n3,n1)) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f141,f142]) ).
fof(f142,plain,
( ? [X0] :
( leq(n0,X0)
& init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1)) )
=> ( leq(n0,sK4)
& init != a_select2(s_try7_init,sK4)
& leq(sK4,minus(n3,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X0] :
( leq(n0,X0)
& init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1)) )
| ~ sP1 ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( ? [X6] :
( leq(n0,X6)
& init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f132]) ).
fof(f390,plain,
( sP1
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl9_12
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f641,plain,
( ~ leq(sK4,minus(n3,n1))
| ~ spl9_12
| spl9_13 ),
inference(unit_resulting_resolution,[],[f633,f397,f419]) ).
fof(f419,plain,
! [X2] :
( ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X2)
| s_sworst7_init = a_select2(s_try7_init,X2) ),
inference(forward_demodulation,[],[f289,f291]) ).
fof(f289,plain,
! [X2] :
( s_worst7_init = a_select2(s_try7_init,X2)
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f200,f210]) ).
fof(f200,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,minus(n3,n1))
| init = a_select2(s_try7_init,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f397,plain,
( s_sworst7_init != a_select2(s_try7_init,sK4)
| spl9_13 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f395,plain,
( spl9_13
<=> s_sworst7_init = a_select2(s_try7_init,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).
fof(f633,plain,
( leq(n0,sK4)
| ~ spl9_12 ),
inference(unit_resulting_resolution,[],[f390,f181]) ).
fof(f181,plain,
( leq(n0,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f632,plain,
( spl9_5
| ~ spl9_6 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f631,plain,
( $false
| spl9_5
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f623,f569]) ).
fof(f569,plain,
( leq(n0,sK6)
| ~ spl9_6 ),
inference(unit_resulting_resolution,[],[f358,f184]) ).
fof(f184,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( init != a_select3(simplex7_init,sK6,sK5)
& leq(sK6,n3)
& leq(n0,sK6)
& leq(n0,sK5)
& leq(sK5,n2) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f145,f147,f146]) ).
fof(f146,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(n0,X0)
& leq(X0,n2) )
=> ( ? [X1] :
( init != a_select3(simplex7_init,X1,sK5)
& leq(X1,n3)
& leq(n0,X1) )
& leq(n0,sK5)
& leq(sK5,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f147,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,[]) ).
fof(f145,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP0 ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f131]) ).
fof(f358,plain,
( sP0
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl9_6
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f623,plain,
( ~ leq(n0,sK6)
| spl9_5
| ~ spl9_6 ),
inference(unit_resulting_resolution,[],[f566,f567,f355,f568,f426]) ).
fof(f426,plain,
! [X3,X4] :
( ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(X4,n3)
| ~ leq(n0,X3)
| s_sworst7_init = a_select3(simplex7_init,X4,X3) ),
inference(forward_demodulation,[],[f290,f291]) ).
fof(f290,plain,
! [X3,X4] :
( ~ leq(n0,X4)
| ~ leq(n0,X3)
| ~ leq(X3,n2)
| s_worst7_init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3) ),
inference(definition_unfolding,[],[f199,f210]) ).
fof(f199,plain,
! [X3,X4] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f151]) ).
fof(f568,plain,
( leq(sK5,n2)
| ~ spl9_6 ),
inference(unit_resulting_resolution,[],[f358,f182]) ).
fof(f182,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f355,plain,
( s_sworst7_init != a_select3(simplex7_init,sK6,sK5)
| spl9_5 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f353,plain,
( spl9_5
<=> s_sworst7_init = a_select3(simplex7_init,sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f567,plain,
( leq(sK6,n3)
| ~ spl9_6 ),
inference(unit_resulting_resolution,[],[f358,f185]) ).
fof(f185,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f566,plain,
( leq(n0,sK5)
| ~ spl9_6 ),
inference(unit_resulting_resolution,[],[f358,f183]) ).
fof(f183,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f565,plain,
( spl9_1
| ~ spl9_2 ),
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f564,plain,
( $false
| spl9_1
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f557,f468]) ).
fof(f468,plain,
( leq(n0,sK3)
| ~ spl9_2 ),
inference(unit_resulting_resolution,[],[f338,f177]) ).
fof(f177,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( leq(sK3,n3)
& leq(n0,sK3)
& init != a_select2(s_values7_init,sK3) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f137,f138]) ).
fof(f138,plain,
( ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(s_values7_init,X0) )
=> ( leq(sK3,n3)
& leq(n0,sK3)
& init != a_select2(s_values7_init,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(s_values7_init,X0) )
| ~ sP2 ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
( ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(s_values7_init,X7) )
| ~ sP2 ),
inference(nnf_transformation,[],[f133]) ).
fof(f338,plain,
( sP2
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl9_2
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f557,plain,
( ~ leq(n0,sK3)
| spl9_1
| ~ spl9_2 ),
inference(unit_resulting_resolution,[],[f467,f466,f392]) ).
fof(f392,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n3)
| s_sworst7_init = a_select2(s_values7_init,X0) ),
inference(forward_demodulation,[],[f284,f291]) ).
fof(f284,plain,
! [X0] :
( ~ leq(X0,n3)
| s_worst7_init = a_select2(s_values7_init,X0)
| ~ leq(n0,X0) ),
inference(definition_unfolding,[],[f207,f210]) ).
fof(f207,plain,
! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f466,plain,
( s_sworst7_init != a_select2(s_values7_init,sK3)
| spl9_1 ),
inference(forward_demodulation,[],[f335,f291]) ).
fof(f335,plain,
( s_worst7_init != a_select2(s_values7_init,sK3)
| spl9_1 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl9_1
<=> s_worst7_init = a_select2(s_values7_init,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f467,plain,
( leq(sK3,n3)
| ~ spl9_2 ),
inference(unit_resulting_resolution,[],[f338,f178]) ).
fof(f178,plain,
( leq(sK3,n3)
| ~ sP2 ),
inference(cnf_transformation,[],[f139]) ).
fof(f465,plain,
( ~ spl9_8
| spl9_17
| ~ spl9_7
| ~ spl9_11
| spl9_3
| spl9_12
| ~ spl9_10
| spl9_6
| spl9_2 ),
inference(avatar_split_clause,[],[f464,f337,f357,f380,f388,f343,f384,f368,f450,f372]) ).
fof(f372,plain,
( spl9_8
<=> leq(n0,pv19) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f368,plain,
( spl9_7
<=> leq(s_worst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f384,plain,
( spl9_11
<=> leq(n0,s_sworst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f343,plain,
( spl9_3
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f380,plain,
( spl9_10
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f464,plain,
( sP2
| sP0
| ~ leq(n0,s_best7)
| sP1
| gt(loopcounter,n1)
| ~ leq(n0,s_sworst7)
| ~ leq(s_worst7,n3)
| leq(n0,sK7)
| ~ leq(n0,pv19) ),
inference(subsumption_resolution,[],[f463,f188]) ).
fof(f188,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f151]) ).
fof(f463,plain,
( leq(n0,sK7)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| sP2
| gt(loopcounter,n1)
| ~ leq(s_worst7,n3)
| sP1
| ~ leq(n0,pv19)
| sP0 ),
inference(subsumption_resolution,[],[f462,f291]) ).
fof(f462,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7)
| s_sworst7_init != s_worst7_init
| gt(loopcounter,n1)
| ~ leq(s_best7,n3)
| sP1
| leq(n0,sK7)
| sP2
| sP0
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3) ),
inference(subsumption_resolution,[],[f461,f208]) ).
fof(f208,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f151]) ).
fof(f461,plain,
( ~ leq(s_worst7,n3)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_worst7)
| leq(n0,sK7)
| sP1
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| sP0
| sP2
| gt(loopcounter,n1)
| s_sworst7_init != s_worst7_init ),
inference(subsumption_resolution,[],[f460,f209]) ).
fof(f209,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f151]) ).
fof(f460,plain,
( sP1
| sP2
| ~ leq(n0,s_best7)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| s_sworst7_init != s_worst7_init
| sP0
| ~ leq(s_worst7,n3)
| gt(loopcounter,n1)
| leq(n0,sK7) ),
inference(subsumption_resolution,[],[f321,f197]) ).
fof(f197,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f151]) ).
fof(f321,plain,
( ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| s_sworst7_init != s_worst7_init
| sP2
| ~ leq(s_best7,n3)
| ~ leq(n0,s_best7)
| sP0
| gt(loopcounter,n1)
| leq(n0,sK7)
| ~ leq(s_sworst7,n3)
| sP1
| ~ leq(n0,s_worst7) ),
inference(trivial_inequality_removal,[],[f320]) ).
fof(f320,plain,
( sP0
| sP1
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| s_sworst7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| sP2
| s_worst7_init != s_worst7_init
| gt(loopcounter,n1)
| leq(n0,sK7) ),
inference(duplicate_literal_removal,[],[f292]) ).
fof(f292,plain,
( ~ leq(s_best7,n3)
| sP0
| leq(n0,sK7)
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| s_worst7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| s_sworst7_init != s_worst7_init
| sP1
| ~ leq(s_sworst7,n3)
| s_worst7_init != s_worst7_init
| ~ leq(n0,s_sworst7)
| s_worst7_init != s_worst7_init
| gt(loopcounter,n1)
| ~ leq(n0,s_best7) ),
inference(definition_unfolding,[],[f194,f275,f210,f210,f210,f210,f210]) ).
fof(f275,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f195,f210]) ).
fof(f195,plain,
s_best7_init = init,
inference(cnf_transformation,[],[f151]) ).
fof(f194,plain,
( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| gt(loopcounter,n1)
| ~ leq(n0,pv19)
| leq(n0,sK7)
| init != s_worst7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| init != init
| sP1
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f151]) ).
fof(f459,plain,
( spl9_16
| spl9_6
| ~ spl9_7
| ~ spl9_11
| ~ spl9_10
| spl9_3
| ~ spl9_8
| spl9_2
| spl9_12 ),
inference(avatar_split_clause,[],[f458,f388,f337,f372,f343,f380,f384,f368,f357,f436]) ).
fof(f458,plain,
( sP1
| sP2
| ~ leq(n0,pv19)
| gt(loopcounter,n1)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(s_worst7,n3)
| sP0
| leq(sK7,n2) ),
inference(subsumption_resolution,[],[f457,f188]) ).
fof(f457,plain,
( sP2
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| sP1
| sP0
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| leq(sK7,n2) ),
inference(subsumption_resolution,[],[f456,f197]) ).
fof(f456,plain,
( leq(sK7,n2)
| ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7)
| ~ leq(pv19,minus(n410,n1))
| sP0
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| sP1
| ~ leq(n0,s_best7)
| sP2
| ~ leq(s_worst7,n3) ),
inference(subsumption_resolution,[],[f455,f208]) ).
fof(f455,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| sP2
| ~ leq(n0,s_best7)
| sP0
| ~ leq(s_worst7,n3)
| sP1
| ~ leq(n0,s_sworst7)
| ~ leq(pv19,minus(n410,n1))
| gt(loopcounter,n1)
| ~ leq(s_best7,n3)
| leq(sK7,n2) ),
inference(subsumption_resolution,[],[f454,f291]) ).
fof(f454,plain,
( leq(sK7,n2)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_sworst7)
| sP2
| s_sworst7_init != s_worst7_init
| sP0
| ~ leq(n0,s_best7)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| gt(loopcounter,n1)
| ~ leq(pv19,minus(n410,n1))
| sP1
| ~ leq(n0,pv19) ),
inference(subsumption_resolution,[],[f323,f209]) ).
fof(f323,plain,
( ~ leq(n0,pv19)
| ~ leq(s_sworst7,n3)
| sP0
| sP1
| leq(sK7,n2)
| ~ leq(s_worst7,n3)
| s_sworst7_init != s_worst7_init
| ~ leq(s_best7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP2
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| gt(loopcounter,n1)
| ~ leq(n0,s_best7) ),
inference(trivial_inequality_removal,[],[f322]) ).
fof(f322,plain,
( ~ leq(s_best7,n3)
| s_worst7_init != s_worst7_init
| ~ leq(s_sworst7,n3)
| sP1
| ~ leq(n0,s_best7)
| leq(sK7,n2)
| sP0
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| gt(loopcounter,n1)
| ~ leq(s_worst7,n3)
| sP2
| ~ leq(pv19,minus(n410,n1)) ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f293,plain,
( gt(loopcounter,n1)
| s_worst7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| sP0
| leq(sK7,n2)
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_sworst7)
| ~ leq(s_sworst7,n3)
| s_sworst7_init != s_worst7_init
| ~ leq(n0,pv19) ),
inference(definition_unfolding,[],[f193,f275,f210,f210,f210,f210,f210]) ).
fof(f193,plain,
( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| gt(loopcounter,n1)
| ~ leq(n0,pv19)
| leq(sK7,n2)
| init != s_worst7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| init != init
| sP1
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f151]) ).
fof(f453,plain,
( ~ spl9_4
| spl9_17
| ~ spl9_7
| spl9_6
| ~ spl9_10
| ~ spl9_14
| spl9_2
| spl9_12
| ~ spl9_11
| ~ spl9_15
| ~ spl9_8 ),
inference(avatar_split_clause,[],[f448,f372,f413,f384,f388,f337,f409,f380,f357,f368,f450,f347]) ).
fof(f347,plain,
( spl9_4
<=> s_sworst7_init = pvar1400_init ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f409,plain,
( spl9_14
<=> s_sworst7_init = pvar1401_init ),
introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).
fof(f413,plain,
( spl9_15
<=> s_sworst7_init = pvar1402_init ),
introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).
fof(f448,plain,
( ~ leq(n0,pv19)
| s_sworst7_init != pvar1402_init
| ~ leq(n0,s_sworst7)
| sP1
| sP2
| s_sworst7_init != pvar1401_init
| ~ leq(n0,s_best7)
| sP0
| ~ leq(s_worst7,n3)
| leq(n0,sK7)
| s_sworst7_init != pvar1400_init ),
inference(forward_demodulation,[],[f447,f291]) ).
fof(f447,plain,
( ~ leq(n0,pv19)
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| leq(n0,sK7)
| sP2
| sP1
| s_worst7_init != pvar1402_init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| sP0 ),
inference(forward_demodulation,[],[f446,f291]) ).
fof(f446,plain,
( ~ leq(n0,s_best7)
| s_worst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| sP2
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| s_worst7_init != pvar1402_init
| leq(n0,sK7)
| sP0
| ~ leq(s_worst7,n3)
| sP1 ),
inference(forward_demodulation,[],[f445,f291]) ).
fof(f445,plain,
( sP1
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_sworst7)
| sP2
| ~ leq(n0,pv19)
| s_worst7_init != pvar1400_init
| sP0
| s_worst7_init != pvar1401_init
| leq(n0,sK7)
| s_worst7_init != pvar1402_init ),
inference(subsumption_resolution,[],[f444,f188]) ).
fof(f444,plain,
( s_worst7_init != pvar1401_init
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| sP0
| s_worst7_init != pvar1400_init
| sP1
| s_worst7_init != pvar1402_init
| ~ leq(s_best7,n3)
| leq(n0,sK7) ),
inference(subsumption_resolution,[],[f443,f197]) ).
fof(f443,plain,
( ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| s_worst7_init != pvar1400_init
| s_worst7_init != pvar1401_init
| sP1
| s_worst7_init != pvar1402_init
| leq(n0,sK7)
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| sP2 ),
inference(subsumption_resolution,[],[f442,f291]) ).
fof(f442,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| sP1
| leq(n0,sK7)
| ~ leq(n0,s_sworst7)
| sP2
| s_worst7_init != pvar1401_init
| ~ leq(s_best7,n3)
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1400_init
| ~ leq(n0,pv19)
| sP0
| s_worst7_init != pvar1402_init
| ~ leq(pv19,minus(n410,n1)) ),
inference(subsumption_resolution,[],[f441,f209]) ).
fof(f441,plain,
( s_worst7_init != pvar1402_init
| leq(n0,sK7)
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1401_init
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| sP0
| s_worst7_init != pvar1400_init
| ~ leq(s_best7,n3)
| sP1
| s_sworst7_init != s_worst7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(subsumption_resolution,[],[f325,f208]) ).
fof(f325,plain,
( sP2
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1402_init
| leq(n0,sK7)
| ~ leq(n0,s_sworst7)
| ~ leq(s_sworst7,n3)
| sP1
| s_sworst7_init != s_worst7_init
| ~ leq(s_best7,n3)
| sP0
| s_worst7_init != pvar1400_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| s_worst7_init != pvar1401_init ),
inference(trivial_inequality_removal,[],[f324]) ).
fof(f324,plain,
( ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| sP0
| s_worst7_init != pvar1401_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_best7)
| ~ leq(s_best7,n3)
| s_worst7_init != s_worst7_init
| leq(n0,sK7)
| s_sworst7_init != s_worst7_init
| s_worst7_init != pvar1402_init
| sP2
| s_worst7_init != pvar1400_init
| ~ leq(n0,s_sworst7) ),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f295,plain,
( s_worst7_init != pvar1401_init
| s_sworst7_init != s_worst7_init
| leq(n0,sK7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_sworst7)
| sP1
| s_worst7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| s_worst7_init != s_worst7_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_worst7_init
| ~ leq(n0,pv19)
| sP2
| sP0
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1402_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3) ),
inference(definition_unfolding,[],[f191,f275,f210,f210,f210,f210,f210,f210,f210,f210]) ).
fof(f191,plain,
( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| ~ leq(n0,pv19)
| leq(n0,sK7)
| init != s_worst7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| init != init
| sP1
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f151]) ).
fof(f439,plain,
( ~ spl9_11
| ~ spl9_15
| ~ spl9_10
| ~ spl9_4
| ~ spl9_8
| ~ spl9_14
| spl9_2
| spl9_6
| spl9_12
| ~ spl9_7
| spl9_16 ),
inference(avatar_split_clause,[],[f434,f436,f368,f388,f357,f337,f409,f372,f347,f380,f413,f384]) ).
fof(f434,plain,
( leq(sK7,n2)
| ~ leq(s_worst7,n3)
| sP1
| sP0
| sP2
| s_sworst7_init != pvar1401_init
| ~ leq(n0,pv19)
| s_sworst7_init != pvar1400_init
| ~ leq(n0,s_best7)
| s_sworst7_init != pvar1402_init
| ~ leq(n0,s_sworst7) ),
inference(forward_demodulation,[],[f433,f291]) ).
fof(f433,plain,
( s_sworst7_init != pvar1400_init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| sP1
| leq(sK7,n2)
| ~ leq(n0,s_best7)
| sP2
| s_worst7_init != pvar1402_init
| sP0
| ~ leq(s_worst7,n3)
| s_sworst7_init != pvar1401_init ),
inference(forward_demodulation,[],[f432,f291]) ).
fof(f432,plain,
( ~ leq(n0,pv19)
| sP2
| sP0
| ~ leq(n0,s_best7)
| sP1
| ~ leq(s_worst7,n3)
| s_worst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| ~ leq(n0,s_sworst7)
| leq(sK7,n2)
| s_worst7_init != pvar1402_init ),
inference(forward_demodulation,[],[f431,f291]) ).
fof(f431,plain,
( s_worst7_init != pvar1400_init
| s_worst7_init != pvar1401_init
| leq(sK7,n2)
| s_worst7_init != pvar1402_init
| ~ leq(n0,s_sworst7)
| sP2
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| sP1
| sP0 ),
inference(subsumption_resolution,[],[f430,f208]) ).
fof(f430,plain,
( sP1
| ~ leq(n0,s_worst7)
| sP0
| s_worst7_init != pvar1401_init
| ~ leq(n0,pv19)
| s_worst7_init != pvar1400_init
| ~ leq(n0,s_sworst7)
| leq(sK7,n2)
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1402_init ),
inference(subsumption_resolution,[],[f429,f291]) ).
fof(f429,plain,
( sP0
| leq(sK7,n2)
| s_worst7_init != pvar1402_init
| s_sworst7_init != s_worst7_init
| sP1
| s_worst7_init != pvar1400_init
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| sP2
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1401_init
| ~ leq(s_worst7,n3) ),
inference(subsumption_resolution,[],[f428,f209]) ).
fof(f428,plain,
( sP0
| ~ leq(n0,pv19)
| s_worst7_init != pvar1400_init
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| leq(sK7,n2)
| sP1
| sP2
| ~ leq(n0,s_sworst7)
| ~ leq(s_sworst7,n3)
| s_worst7_init != pvar1401_init
| ~ leq(n0,s_worst7)
| s_worst7_init != pvar1402_init
| s_sworst7_init != s_worst7_init ),
inference(subsumption_resolution,[],[f427,f197]) ).
fof(f427,plain,
( leq(sK7,n2)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| sP2
| ~ leq(n0,pv19)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| s_sworst7_init != s_worst7_init
| s_worst7_init != pvar1402_init
| s_worst7_init != pvar1400_init
| sP0
| ~ leq(n0,s_worst7)
| s_worst7_init != pvar1401_init
| sP1 ),
inference(subsumption_resolution,[],[f327,f188]) ).
fof(f327,plain,
( ~ leq(n0,s_best7)
| s_worst7_init != pvar1402_init
| ~ leq(s_best7,n3)
| leq(sK7,n2)
| sP1
| ~ leq(s_sworst7,n3)
| s_worst7_init != pvar1400_init
| sP0
| sP2
| ~ leq(n0,s_worst7)
| s_worst7_init != pvar1401_init
| ~ leq(pv19,minus(n410,n1))
| s_sworst7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7) ),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f326,plain,
( s_worst7_init != pvar1402_init
| ~ leq(n0,s_sworst7)
| s_worst7_init != pvar1400_init
| s_worst7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| sP2
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1401_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| sP0
| s_sworst7_init != s_worst7_init
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| sP1
| leq(sK7,n2) ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f296,plain,
( ~ leq(pv19,minus(n410,n1))
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| s_worst7_init != pvar1400_init
| ~ leq(s_sworst7,n3)
| leq(sK7,n2)
| sP1
| s_worst7_init != pvar1401_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| s_worst7_init != pvar1402_init
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| sP0
| s_worst7_init != s_worst7_init
| sP2 ),
inference(definition_unfolding,[],[f190,f275,f210,f210,f210,f210,f210,f210,f210,f210]) ).
fof(f190,plain,
( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| ~ leq(n0,pv19)
| leq(sK7,n2)
| init != s_worst7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| init != init
| sP1
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f151]) ).
fof(f425,plain,
( ~ spl9_3
| spl9_14 ),
inference(avatar_split_clause,[],[f424,f409,f343]) ).
fof(f424,plain,
( s_sworst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(forward_demodulation,[],[f286,f291]) ).
fof(f286,plain,
( s_worst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f203,f210]) ).
fof(f203,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f423,plain,
( spl9_15
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f422,f343,f413]) ).
fof(f422,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1402_init ),
inference(forward_demodulation,[],[f288,f291]) ).
fof(f288,plain,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1402_init ),
inference(definition_unfolding,[],[f201,f210]) ).
fof(f201,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f421,plain,
spl9_10,
inference(avatar_split_clause,[],[f205,f380]) ).
fof(f205,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f151]) ).
fof(f420,plain,
spl9_8,
inference(avatar_split_clause,[],[f206,f372]) ).
fof(f206,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f151]) ).
fof(f418,plain,
spl9_11,
inference(avatar_split_clause,[],[f187,f384]) ).
fof(f187,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f151]) ).
fof(f417,plain,
spl9_7,
inference(avatar_split_clause,[],[f196,f368]) ).
fof(f196,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f151]) ).
fof(f416,plain,
( ~ spl9_7
| ~ spl9_9
| ~ spl9_14
| ~ spl9_15
| ~ spl9_4
| spl9_2
| spl9_12
| ~ spl9_10
| ~ spl9_8
| ~ spl9_11
| spl9_6 ),
inference(avatar_split_clause,[],[f407,f357,f384,f372,f380,f388,f337,f347,f413,f409,f376,f368]) ).
fof(f407,plain,
( sP0
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| ~ leq(n0,s_best7)
| sP1
| sP2
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1402_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != a_select2(s_center7_init,sK7)
| ~ leq(s_worst7,n3) ),
inference(forward_demodulation,[],[f406,f291]) ).
fof(f406,plain,
( s_sworst7_init != pvar1401_init
| sP1
| ~ leq(n0,s_sworst7)
| sP0
| s_worst7_init != pvar1400_init
| ~ leq(s_worst7,n3)
| s_sworst7_init != a_select2(s_center7_init,sK7)
| ~ leq(n0,pv19)
| sP2
| ~ leq(n0,s_best7)
| s_sworst7_init != pvar1402_init ),
inference(forward_demodulation,[],[f405,f291]) ).
fof(f405,plain,
( sP1
| s_worst7_init != pvar1401_init
| ~ leq(n0,pv19)
| sP2
| s_sworst7_init != a_select2(s_center7_init,sK7)
| s_worst7_init != pvar1400_init
| ~ leq(n0,s_sworst7)
| s_sworst7_init != pvar1402_init
| sP0
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3) ),
inference(forward_demodulation,[],[f404,f291]) ).
fof(f404,plain,
( sP0
| s_sworst7_init != a_select2(s_center7_init,sK7)
| sP1
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| s_worst7_init != pvar1402_init
| sP2
| ~ leq(n0,s_sworst7)
| s_worst7_init != pvar1400_init
| ~ leq(n0,pv19)
| s_worst7_init != pvar1401_init ),
inference(forward_demodulation,[],[f403,f291]) ).
fof(f403,plain,
( sP2
| sP0
| ~ leq(s_worst7,n3)
| s_worst7_init != a_select2(s_center7_init,sK7)
| s_worst7_init != pvar1400_init
| ~ leq(n0,pv19)
| s_worst7_init != pvar1402_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| sP1
| s_worst7_init != pvar1401_init ),
inference(subsumption_resolution,[],[f402,f188]) ).
fof(f402,plain,
( sP0
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1402_init
| s_worst7_init != pvar1400_init
| sP2
| sP1
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| s_worst7_init != a_select2(s_center7_init,sK7)
| ~ leq(s_best7,n3)
| ~ leq(s_worst7,n3)
| s_worst7_init != pvar1401_init ),
inference(subsumption_resolution,[],[f401,f291]) ).
fof(f401,plain,
( s_worst7_init != pvar1400_init
| sP2
| ~ leq(n0,s_sworst7)
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1402_init
| sP1
| s_worst7_init != a_select2(s_center7_init,sK7)
| sP0
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_worst7,n3) ),
inference(subsumption_resolution,[],[f400,f209]) ).
fof(f400,plain,
( s_worst7_init != pvar1401_init
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP0
| s_sworst7_init != s_worst7_init
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7)
| s_worst7_init != a_select2(s_center7_init,sK7)
| sP1
| s_worst7_init != pvar1402_init
| ~ leq(n0,s_best7)
| sP2
| s_worst7_init != pvar1400_init ),
inference(subsumption_resolution,[],[f399,f197]) ).
fof(f399,plain,
( ~ leq(pv19,minus(n410,n1))
| s_sworst7_init != s_worst7_init
| sP2
| ~ leq(n0,pv19)
| s_worst7_init != pvar1401_init
| sP0
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1402_init
| s_worst7_init != pvar1400_init
| s_worst7_init != a_select2(s_center7_init,sK7)
| ~ leq(n0,s_sworst7)
| sP1
| ~ leq(s_best7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3) ),
inference(subsumption_resolution,[],[f329,f208]) ).
fof(f329,plain,
( s_worst7_init != pvar1400_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(s_sworst7,n3)
| sP1
| sP0
| s_worst7_init != pvar1402_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_best7)
| s_sworst7_init != s_worst7_init
| s_worst7_init != a_select2(s_center7_init,sK7)
| s_worst7_init != pvar1401_init
| sP2 ),
inference(trivial_inequality_removal,[],[f328]) ).
fof(f328,plain,
( s_worst7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| sP1
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| sP2
| sP0
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv19)
| s_worst7_init != a_select2(s_center7_init,sK7)
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != pvar1402_init
| ~ leq(n0,s_best7) ),
inference(duplicate_literal_removal,[],[f297]) ).
fof(f297,plain,
( s_worst7_init != s_worst7_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init
| s_worst7_init != pvar1402_init
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| s_worst7_init != pvar1401_init
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(pv19,minus(n410,n1))
| s_worst7_init != a_select2(s_center7_init,sK7)
| sP2
| s_sworst7_init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| sP1 ),
inference(definition_unfolding,[],[f189,f275,f210,f210,f210,f210,f210,f210,f210,f210,f210]) ).
fof(f189,plain,
( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| ~ leq(n0,pv19)
| init != a_select2(s_center7_init,sK7)
| init != s_worst7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| init != init
| sP1
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f151]) ).
fof(f398,plain,
( ~ spl9_12
| ~ spl9_13 ),
inference(avatar_split_clause,[],[f393,f395,f388]) ).
fof(f393,plain,
( s_sworst7_init != a_select2(s_try7_init,sK4)
| ~ sP1 ),
inference(forward_demodulation,[],[f282,f291]) ).
fof(f282,plain,
( ~ sP1
| s_worst7_init != a_select2(s_try7_init,sK4) ),
inference(definition_unfolding,[],[f180,f210]) ).
fof(f180,plain,
( init != a_select2(s_try7_init,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f391,plain,
( ~ spl9_7
| ~ spl9_8
| ~ spl9_9
| spl9_3
| ~ spl9_10
| ~ spl9_11
| spl9_2
| spl9_12
| spl9_6 ),
inference(avatar_split_clause,[],[f366,f357,f388,f337,f384,f380,f343,f376,f372,f368]) ).
fof(f366,plain,
( sP0
| sP1
| sP2
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| gt(loopcounter,n1)
| s_sworst7_init != a_select2(s_center7_init,sK7)
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3) ),
inference(forward_demodulation,[],[f365,f291]) ).
fof(f365,plain,
( sP2
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(n0,s_best7)
| gt(loopcounter,n1)
| ~ leq(n0,s_sworst7)
| s_worst7_init != a_select2(s_center7_init,sK7)
| sP1
| ~ leq(n0,pv19) ),
inference(subsumption_resolution,[],[f364,f197]) ).
fof(f364,plain,
( ~ leq(n0,pv19)
| sP0
| s_worst7_init != a_select2(s_center7_init,sK7)
| gt(loopcounter,n1)
| sP1
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_sworst7)
| ~ leq(s_worst7,n3) ),
inference(subsumption_resolution,[],[f363,f209]) ).
fof(f363,plain,
( ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| s_worst7_init != a_select2(s_center7_init,sK7)
| gt(loopcounter,n1)
| sP0
| sP1
| sP2
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_sworst7)
| ~ leq(pv19,minus(n410,n1)) ),
inference(subsumption_resolution,[],[f362,f208]) ).
fof(f362,plain,
( sP1
| s_worst7_init != a_select2(s_center7_init,sK7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| sP0
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| gt(loopcounter,n1)
| ~ leq(s_sworst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) ),
inference(subsumption_resolution,[],[f361,f291]) ).
fof(f361,plain,
( s_sworst7_init != s_worst7_init
| s_worst7_init != a_select2(s_center7_init,sK7)
| gt(loopcounter,n1)
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| sP2
| ~ leq(n0,s_best7)
| sP0
| sP1 ),
inference(subsumption_resolution,[],[f331,f188]) ).
fof(f331,plain,
( ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| ~ leq(n0,s_worst7)
| s_worst7_init != a_select2(s_center7_init,sK7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(n0,pv19)
| ~ leq(s_sworst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP2
| sP1
| s_sworst7_init != s_worst7_init ),
inference(trivial_inequality_removal,[],[f330]) ).
fof(f330,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| s_sworst7_init != s_worst7_init
| sP2
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_best7)
| sP0
| ~ leq(n0,s_sworst7)
| gt(loopcounter,n1)
| ~ leq(s_best7,n3)
| s_worst7_init != s_worst7_init
| s_worst7_init != a_select2(s_center7_init,sK7)
| sP1 ),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f294,plain,
( ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| ~ leq(n0,s_best7)
| sP0
| s_worst7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_worst7,n3)
| sP2
| ~ leq(pv19,minus(n410,n1))
| gt(loopcounter,n1)
| s_sworst7_init != s_worst7_init
| sP1
| ~ leq(s_sworst7,n3)
| s_worst7_init != a_select2(s_center7_init,sK7)
| s_worst7_init != s_worst7_init
| s_worst7_init != s_worst7_init ),
inference(definition_unfolding,[],[f192,f275,f210,f210,f210,f210,f210,f210]) ).
fof(f192,plain,
( ~ leq(n0,s_best7)
| s_best7_init != init
| ~ leq(s_sworst7,n3)
| gt(loopcounter,n1)
| ~ leq(n0,pv19)
| init != a_select2(s_center7_init,sK7)
| init != s_worst7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| init != init
| sP1
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f151]) ).
fof(f360,plain,
( ~ spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f351,f357,f353]) ).
fof(f351,plain,
( ~ sP0
| s_sworst7_init != a_select3(simplex7_init,sK6,sK5) ),
inference(forward_demodulation,[],[f283,f291]) ).
fof(f283,plain,
( s_worst7_init != a_select3(simplex7_init,sK6,sK5)
| ~ sP0 ),
inference(definition_unfolding,[],[f186,f210]) ).
fof(f186,plain,
( init != a_select3(simplex7_init,sK6,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f350,plain,
( ~ spl9_3
| spl9_4 ),
inference(avatar_split_clause,[],[f341,f347,f343]) ).
fof(f341,plain,
( s_sworst7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(forward_demodulation,[],[f287,f291]) ).
fof(f287,plain,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1400_init ),
inference(definition_unfolding,[],[f202,f210]) ).
fof(f202,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f340,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f281,f337,f333]) ).
fof(f281,plain,
( ~ sP2
| s_worst7_init != a_select2(s_values7_init,sK3) ),
inference(definition_unfolding,[],[f176,f210]) ).
fof(f176,plain,
( init != a_select2(s_values7_init,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV034+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 18:54:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (5461)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.49 % (5469)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (5469)Instruction limit reached!
% 0.20/0.49 % (5469)------------------------------
% 0.20/0.49 % (5469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (5469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (5469)Termination reason: Unknown
% 0.20/0.49 % (5469)Termination phase: Preprocessing 3
% 0.20/0.49
% 0.20/0.49 % (5469)Memory used [KB]: 1535
% 0.20/0.49 % (5469)Time elapsed: 0.003 s
% 0.20/0.49 % (5469)Instructions burned: 3 (million)
% 0.20/0.49 % (5469)------------------------------
% 0.20/0.49 % (5469)------------------------------
% 0.20/0.50 % (5477)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.51 % (5459)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (5461)First to succeed.
% 0.20/0.52 % (5466)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (5452)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (5466)Instruction limit reached!
% 0.20/0.52 % (5466)------------------------------
% 0.20/0.52 % (5466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5466)Termination reason: Unknown
% 0.20/0.52 % (5466)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (5466)Memory used [KB]: 1663
% 0.20/0.52 % (5466)Time elapsed: 0.003 s
% 0.20/0.52 % (5466)Instructions burned: 5 (million)
% 0.20/0.52 % (5466)------------------------------
% 0.20/0.52 % (5466)------------------------------
% 0.20/0.53 % (5456)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (5461)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (5461)------------------------------
% 0.20/0.53 % (5461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5461)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (5461)Memory used [KB]: 6524
% 0.20/0.53 % (5461)Time elapsed: 0.140 s
% 0.20/0.53 % (5461)Instructions burned: 24 (million)
% 0.20/0.53 % (5461)------------------------------
% 0.20/0.53 % (5461)------------------------------
% 0.20/0.53 % (5451)Success in time 0.187 s
%------------------------------------------------------------------------------