TSTP Solution File: SWV025+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV025+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 : n006.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 18:43:54 EDT 2022
% Result : Theorem 1.65s 0.58s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 42
% Syntax : Number of formulae : 177 ( 28 unt; 0 def)
% Number of atoms : 1414 ( 353 equ)
% Maximal formula atoms : 66 ( 7 avg)
% Number of connectives : 1973 ( 736 ~; 802 |; 358 &)
% ( 33 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 37 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 29 con; 0-3 aty)
% Number of variables : 96 ( 65 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f502,plain,
$false,
inference(avatar_sat_refutation,[],[f315,f324,f333,f342,f403,f404,f405,f406,f411,f416,f417,f422,f427,f428,f433,f434,f439,f444,f449,f450,f451,f452,f453,f458,f463,f464,f465,f466,f467,f468,f469,f470,f473,f492,f498,f501]) ).
fof(f501,plain,
( ~ spl8_3
| ~ spl8_27
| spl8_32 ),
inference(avatar_split_clause,[],[f500,f455,f424,f317]) ).
fof(f317,plain,
( spl8_3
<=> leq(sK4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f424,plain,
( spl8_27
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
fof(f455,plain,
( spl8_32
<=> s_sworst7_init = a_select2(s_center7_init,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).
fof(f500,plain,
( ~ leq(n0,sK4)
| ~ leq(sK4,n2)
| spl8_32 ),
inference(trivial_inequality_removal,[],[f499]) ).
fof(f499,plain,
( ~ leq(sK4,n2)
| ~ leq(n0,sK4)
| s_sworst7_init != s_sworst7_init
| spl8_32 ),
inference(superposition,[],[f457,f285]) ).
fof(f285,plain,
! [X4] :
( s_sworst7_init = a_select2(s_center7_init,X4)
| ~ leq(X4,n2)
| ~ leq(n0,X4) ),
inference(definition_unfolding,[],[f210,f218]) ).
fof(f218,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( leq(n0,pv7)
& leq(s_best7,n3)
& leq(n0,pv19)
& ! [X0] :
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| init = a_select2(s_try7_init,X0) )
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& ! [X1] :
( ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& leq(s_sworst7,n3)
& leq(n0,pv20)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& init = s_sworst7_init
& init = s_best7_init
& ( ( init = pvar1402_init
& init = pvar1400_init
& init = pvar1401_init )
| ~ gt(loopcounter,n1) )
& leq(pv7,minus(n410,n1))
& init = s_worst7_init
& init = init
& ! [X4] :
( ~ leq(X4,n2)
| init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4) )
& leq(n0,s_sworst7)
& ( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1402_init
| init != pvar1400_init ) )
| ( leq(sK7,n3)
& leq(n0,sK7)
& init != a_select2(s_values7_init,sK7) )
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) )
& leq(s_worst7,n3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f153,f154]) ).
fof(f154,plain,
( ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select2(s_values7_init,X5) )
=> ( leq(sK7,n3)
& leq(n0,sK7)
& init != a_select2(s_values7_init,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( leq(n0,pv7)
& leq(s_best7,n3)
& leq(n0,pv19)
& ! [X0] :
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| init = a_select2(s_try7_init,X0) )
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& ! [X1] :
( ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& leq(s_sworst7,n3)
& leq(n0,pv20)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& init = s_sworst7_init
& init = s_best7_init
& ( ( init = pvar1402_init
& init = pvar1400_init
& init = pvar1401_init )
| ~ gt(loopcounter,n1) )
& leq(pv7,minus(n410,n1))
& init = s_worst7_init
& init = init
& ! [X4] :
( ~ leq(X4,n2)
| init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4) )
& leq(n0,s_sworst7)
& ( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1402_init
| init != pvar1400_init ) )
| ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select2(s_values7_init,X5) )
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) )
& leq(s_worst7,n3) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
( leq(n0,pv7)
& leq(s_best7,n3)
& leq(n0,pv19)
& ! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| init = a_select2(s_try7_init,X4) )
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& ! [X1] :
( ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& leq(s_sworst7,n3)
& leq(n0,pv20)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& init = s_sworst7_init
& init = s_best7_init
& ( ( init = pvar1402_init
& init = pvar1400_init
& init = pvar1401_init )
| ~ gt(loopcounter,n1) )
& leq(pv7,minus(n410,n1))
& init = s_worst7_init
& init = init
& ! [X0] :
( ~ leq(X0,n2)
| init = a_select2(s_center7_init,X0)
| ~ leq(n0,X0) )
& leq(n0,s_sworst7)
& ( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1402_init
| init != pvar1400_init ) )
| ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select2(s_values7_init,X5) )
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) )
& leq(s_worst7,n3) ),
inference(definition_folding,[],[f133,f136,f135,f134]) ).
fof(f134,plain,
( ? [X8] :
( leq(X8,n2)
& ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8) )
& leq(n0,X8) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f135,plain,
( ? [X7] :
( leq(n0,X7)
& init != a_select2(s_center7_init,X7)
& leq(X7,n2) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f136,plain,
( ? [X6] :
( init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1))
& leq(n0,X6) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f133,plain,
( leq(n0,pv7)
& leq(s_best7,n3)
& leq(n0,pv19)
& ! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| init = a_select2(s_try7_init,X4) )
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& ! [X1] :
( ! [X2] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& leq(s_sworst7,n3)
& leq(n0,pv20)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& init = s_sworst7_init
& init = s_best7_init
& ( ( init = pvar1402_init
& init = pvar1400_init
& init = pvar1401_init )
| ~ gt(loopcounter,n1) )
& leq(pv7,minus(n410,n1))
& init = s_worst7_init
& init = init
& ! [X0] :
( ~ leq(X0,n2)
| init = a_select2(s_center7_init,X0)
| ~ leq(n0,X0) )
& leq(n0,s_sworst7)
& ( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| ? [X8] :
( leq(X8,n2)
& ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8) )
& leq(n0,X8) )
| ~ leq(n0,s_sworst7)
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1402_init
| init != pvar1400_init ) )
| ? [X5] :
( leq(X5,n3)
& leq(n0,X5)
& init != a_select2(s_values7_init,X5) )
| ~ leq(n0,s_best7)
| ? [X6] :
( init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1))
& leq(n0,X6) )
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ? [X7] :
( leq(n0,X7)
& init != a_select2(s_center7_init,X7)
& leq(X7,n2) )
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) )
& leq(s_worst7,n3) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
( ( init != s_sworst7_init
| init != s_worst7_init
| init != s_best7_init
| ~ leq(s_best7,n3)
| ~ leq(n0,s_worst7)
| ~ leq(pv19,minus(n410,n1))
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1402_init
| init != pvar1400_init ) )
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(n0,X8)
& leq(X8,n2) )
| ~ leq(n0,s_best7)
| ? [X5] :
( init != a_select2(s_values7_init,X5)
& leq(n0,X5)
& leq(X5,n3) )
| ~ leq(n0,s_sworst7)
| ? [X7] :
( init != a_select2(s_center7_init,X7)
& leq(n0,X7)
& leq(X7,n2) )
| init != init
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv19)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| ? [X6] :
( init != a_select2(s_try7_init,X6)
& leq(n0,X6)
& leq(X6,minus(n3,n1)) )
| ~ leq(n0,pv20) )
& init = s_best7_init
& init = s_sworst7_init
& leq(s_worst7,n3)
& leq(n0,s_best7)
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) )
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& ( ( init = pvar1402_init
& init = pvar1400_init
& init = pvar1401_init )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select2(s_try7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) )
& leq(s_sworst7,n3)
& init = init
& leq(pv20,minus(n330,n1))
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,pv20)
& leq(n0,pv7)
& init = s_worst7_init
& leq(n0,pv19)
& leq(pv7,minus(n410,n1))
& leq(s_best7,n3)
& leq(pv19,minus(n410,n1)) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
~ ( ( init = s_best7_init
& init = s_sworst7_init
& leq(s_worst7,n3)
& leq(n0,s_best7)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> init = a_select3(simplex7_init,X2,X1) ) )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> init = a_select2(s_center7_init,X0) )
& ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1400_init
& init = pvar1401_init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X4) )
& leq(s_sworst7,n3)
& init = init
& leq(pv20,minus(n330,n1))
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,pv20)
& leq(n0,pv7)
& init = s_worst7_init
& leq(n0,pv19)
& leq(pv7,minus(n410,n1))
& leq(s_best7,n3)
& leq(pv19,minus(n410,n1)) )
=> ( init = s_sworst7_init
& init = s_worst7_init
& init = s_best7_init
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(pv19,minus(n410,n1))
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,n2) )
=> ! [X9] :
( ( leq(X9,n3)
& leq(n0,X9) )
=> init = a_select3(simplex7_init,X9,X8) ) )
& leq(n0,s_best7)
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n3) )
=> init = a_select2(s_values7_init,X5) )
& leq(n0,s_sworst7)
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n2) )
=> init = a_select2(s_center7_init,X7) )
& init = init
& leq(s_worst7,n3)
& leq(n0,pv19)
& leq(pv20,minus(n330,n1))
& leq(s_sworst7,n3)
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X6) )
& leq(n0,pv20) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(s_worst7,n3)
& init = s_sworst7_init
& leq(s_sworst7,n3)
& leq(n0,pv20)
& init = s_best7_init
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n2) )
=> init = a_select2(s_center7_init,X19) )
& init = s_worst7_init
& leq(pv20,minus(n330,n1))
& init = init
& leq(n0,pv19)
& leq(s_best7,n3)
& leq(pv7,minus(n410,n1))
& leq(n0,s_best7)
& leq(pv19,minus(n410,n1))
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,s_worst7)
& ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1400_init
& init = pvar1401_init ) )
& leq(n0,s_sworst7)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& leq(n0,pv7) )
=> ( leq(pv19,minus(n410,n1))
& leq(n0,pv20)
& init = s_best7_init
& leq(pv20,minus(n330,n1))
& leq(s_worst7,n3)
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> init = a_select2(s_values7_init,X28) )
& leq(n0,pv19)
& init = s_worst7_init
& init = init
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& ! [X10] :
( ( leq(n0,X10)
& leq(X10,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(n0,s_best7)
& init = s_sworst7_init
& leq(s_best7,n3)
& leq(n0,s_sworst7) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(s_worst7,n3)
& init = s_sworst7_init
& leq(s_sworst7,n3)
& leq(n0,pv20)
& init = s_best7_init
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n2) )
=> init = a_select2(s_center7_init,X19) )
& init = s_worst7_init
& leq(pv20,minus(n330,n1))
& init = init
& leq(n0,pv19)
& leq(s_best7,n3)
& leq(pv7,minus(n410,n1))
& leq(n0,s_best7)
& leq(pv19,minus(n410,n1))
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,s_worst7)
& ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1400_init
& init = pvar1401_init ) )
& leq(n0,s_sworst7)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& leq(n0,pv7) )
=> ( leq(pv19,minus(n410,n1))
& leq(n0,pv20)
& init = s_best7_init
& leq(pv20,minus(n330,n1))
& leq(s_worst7,n3)
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> init = a_select2(s_values7_init,X28) )
& leq(n0,pv19)
& init = s_worst7_init
& init = init
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& ! [X10] :
( ( leq(n0,X10)
& leq(X10,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(n0,s_best7)
& init = s_sworst7_init
& leq(s_best7,n3)
& leq(n0,s_sworst7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0013) ).
fof(f210,plain,
! [X4] :
( ~ leq(X4,n2)
| init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f155]) ).
fof(f457,plain,
( s_sworst7_init != a_select2(s_center7_init,sK4)
| spl8_32 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f498,plain,
( ~ spl8_23
| spl8_28
| ~ spl8_31 ),
inference(avatar_split_clause,[],[f495,f446,f430,f400]) ).
fof(f400,plain,
( spl8_23
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
fof(f430,plain,
( spl8_28
<=> s_sworst7_init = a_select2(s_values7_init,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).
fof(f446,plain,
( spl8_31
<=> leq(sK7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).
fof(f495,plain,
( ~ leq(n0,sK7)
| spl8_28
| ~ spl8_31 ),
inference(subsumption_resolution,[],[f494,f448]) ).
fof(f448,plain,
( leq(sK7,n3)
| ~ spl8_31 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f494,plain,
( ~ leq(sK7,n3)
| ~ leq(n0,sK7)
| spl8_28 ),
inference(trivial_inequality_removal,[],[f493]) ).
fof(f493,plain,
( ~ leq(sK7,n3)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,sK7)
| spl8_28 ),
inference(superposition,[],[f432,f278]) ).
fof(f278,plain,
! [X3] :
( s_sworst7_init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(definition_unfolding,[],[f223,f218]) ).
fof(f223,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f155]) ).
fof(f432,plain,
( s_sworst7_init != a_select2(s_values7_init,sK7)
| spl8_28 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f492,plain,
( spl8_33
| ~ spl8_1
| ~ spl8_26 ),
inference(avatar_split_clause,[],[f489,f419,f308,f460]) ).
fof(f460,plain,
( spl8_33
<=> s_sworst7_init = a_select2(s_try7_init,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).
fof(f308,plain,
( spl8_1
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f419,plain,
( spl8_26
<=> leq(sK3,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
fof(f489,plain,
( s_sworst7_init = a_select2(s_try7_init,sK3)
| ~ spl8_1
| ~ spl8_26 ),
inference(subsumption_resolution,[],[f488,f310]) ).
fof(f310,plain,
( leq(n0,sK3)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f488,plain,
( ~ leq(n0,sK3)
| s_sworst7_init = a_select2(s_try7_init,sK3)
| ~ spl8_26 ),
inference(resolution,[],[f421,f276]) ).
fof(f276,plain,
! [X0] :
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| s_sworst7_init = a_select2(s_try7_init,X0) ),
inference(definition_unfolding,[],[f227,f218]) ).
fof(f227,plain,
! [X0] :
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| init = a_select2(s_try7_init,X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f421,plain,
( leq(sK3,minus(n3,n1))
| ~ spl8_26 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f473,plain,
( ~ spl8_6
| ~ spl8_30
| ~ spl8_24
| ~ spl8_25
| spl8_29 ),
inference(avatar_split_clause,[],[f472,f436,f413,f408,f441,f330]) ).
fof(f330,plain,
( spl8_6
<=> leq(sK6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f441,plain,
( spl8_30
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).
fof(f408,plain,
( spl8_24
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
fof(f413,plain,
( spl8_25
<=> leq(sK5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).
fof(f436,plain,
( spl8_29
<=> s_sworst7_init = a_select3(simplex7_init,sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).
fof(f472,plain,
( ~ leq(sK5,n2)
| ~ leq(n0,sK5)
| ~ leq(n0,sK6)
| ~ leq(sK6,n3)
| spl8_29 ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f471,plain,
( ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,sK5)
| ~ leq(sK5,n2)
| spl8_29 ),
inference(superposition,[],[f438,f277]) ).
fof(f277,plain,
! [X2,X1] :
( s_sworst7_init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ leq(X2,n3) ),
inference(definition_unfolding,[],[f224,f218]) ).
fof(f224,plain,
! [X2,X1] :
( ~ leq(X2,n3)
| ~ leq(n0,X2)
| init = a_select3(simplex7_init,X2,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f438,plain,
( s_sworst7_init != a_select3(simplex7_init,sK6,sK5)
| spl8_29 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f470,plain,
spl8_22,
inference(avatar_split_clause,[],[f226,f396]) ).
fof(f396,plain,
( spl8_22
<=> leq(pv20,minus(n330,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
fof(f226,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f155]) ).
fof(f469,plain,
spl8_11,
inference(avatar_split_clause,[],[f283,f352]) ).
fof(f352,plain,
( spl8_11
<=> s_sworst7_init = s_worst7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f283,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f212,f218]) ).
fof(f212,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f155]) ).
fof(f468,plain,
spl8_18,
inference(avatar_split_clause,[],[f279,f380]) ).
fof(f380,plain,
( spl8_18
<=> s_best7_init = s_sworst7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f279,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f217,f218]) ).
fof(f217,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f155]) ).
fof(f467,plain,
spl8_21,
inference(avatar_split_clause,[],[f228,f392]) ).
fof(f392,plain,
( spl8_21
<=> leq(n0,pv19) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
fof(f228,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f155]) ).
fof(f466,plain,
spl8_10,
inference(avatar_split_clause,[],[f220,f348]) ).
fof(f348,plain,
( spl8_10
<=> leq(n0,s_worst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f220,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f155]) ).
fof(f465,plain,
spl8_17,
inference(avatar_split_clause,[],[f219,f376]) ).
fof(f376,plain,
( spl8_17
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f219,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f155]) ).
fof(f464,plain,
spl8_15,
inference(avatar_split_clause,[],[f221,f368]) ).
fof(f368,plain,
( spl8_15
<=> leq(n0,pv20) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f221,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f155]) ).
fof(f463,plain,
( ~ spl8_2
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f273,f460,f312]) ).
fof(f312,plain,
( spl8_2
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f273,plain,
( s_sworst7_init != a_select2(s_try7_init,sK3)
| ~ sP2 ),
inference(definition_unfolding,[],[f193,f218]) ).
fof(f193,plain,
( init != a_select2(s_try7_init,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( init != a_select2(s_try7_init,sK3)
& leq(sK3,minus(n3,n1))
& leq(n0,sK3) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f141,f142]) ).
fof(f142,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> ( init != a_select2(s_try7_init,sK3)
& leq(sK3,minus(n3,n1))
& leq(n0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( ? [X6] :
( init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1))
& leq(n0,X6) )
| ~ sP2 ),
inference(nnf_transformation,[],[f136]) ).
fof(f458,plain,
( ~ spl8_32
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f274,f321,f455]) ).
fof(f321,plain,
( spl8_4
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f274,plain,
( ~ sP1
| s_sworst7_init != a_select2(s_center7_init,sK4) ),
inference(definition_unfolding,[],[f195,f218]) ).
fof(f195,plain,
( init != a_select2(s_center7_init,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( leq(n0,sK4)
& init != a_select2(s_center7_init,sK4)
& leq(sK4,n2) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f145,f146]) ).
fof(f146,plain,
( ? [X0] :
( leq(n0,X0)
& init != a_select2(s_center7_init,X0)
& leq(X0,n2) )
=> ( leq(n0,sK4)
& init != a_select2(s_center7_init,sK4)
& leq(sK4,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X0] :
( leq(n0,X0)
& init != a_select2(s_center7_init,X0)
& leq(X0,n2) )
| ~ sP1 ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
( ? [X7] :
( leq(n0,X7)
& init != a_select2(s_center7_init,X7)
& leq(X7,n2) )
| ~ sP1 ),
inference(nnf_transformation,[],[f135]) ).
fof(f453,plain,
( ~ spl8_16
| ~ spl8_11
| ~ spl8_28
| ~ spl8_15
| ~ spl8_22
| ~ spl8_8
| spl8_4
| ~ spl8_18
| ~ spl8_19
| ~ spl8_12
| ~ spl8_13
| ~ spl8_9
| ~ spl8_10
| ~ spl8_20
| ~ spl8_17
| ~ spl8_14
| ~ spl8_21
| spl8_5
| spl8_2 ),
inference(avatar_split_clause,[],[f296,f312,f326,f392,f364,f376,f388,f348,f344,f360,f356,f384,f380,f321,f339,f396,f368,f430,f352,f372]) ).
fof(f372,plain,
( spl8_16
<=> leq(s_sworst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f339,plain,
( spl8_8
<=> s_sworst7_init = pvar1400_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f384,plain,
( spl8_19
<=> leq(pv19,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f356,plain,
( spl8_12
<=> s_sworst7_init = pvar1401_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f360,plain,
( spl8_13
<=> leq(s_best7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f344,plain,
( spl8_9
<=> s_sworst7_init = pvar1402_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f388,plain,
( spl8_20
<=> leq(s_worst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f364,plain,
( spl8_14
<=> leq(n0,s_sworst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f326,plain,
( spl8_5
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f296,plain,
( sP2
| sP0
| ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| s_sworst7_init != pvar1402_init
| ~ leq(s_best7,n3)
| s_sworst7_init != pvar1401_init
| ~ leq(pv19,minus(n410,n1))
| s_best7_init != s_sworst7_init
| sP1
| s_sworst7_init != pvar1400_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv20)
| s_sworst7_init != a_select2(s_values7_init,sK7)
| s_sworst7_init != s_worst7_init
| ~ leq(s_sworst7,n3) ),
inference(trivial_inequality_removal,[],[f295]) ).
fof(f295,plain,
( ~ leq(n0,s_best7)
| s_best7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| sP1
| s_sworst7_init != pvar1402_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_sworst7)
| sP0
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| s_sworst7_init != a_select2(s_values7_init,sK7)
| ~ leq(n0,s_worst7)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP2
| s_sworst7_init != pvar1401_init
| ~ leq(n0,pv19)
| s_sworst7_init != s_worst7_init
| s_sworst7_init != pvar1400_init ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f291,plain,
( s_sworst7_init != s_sworst7_init
| ~ leq(n0,pv20)
| ~ leq(s_worst7,n3)
| s_best7_init != s_sworst7_init
| sP2
| ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_worst7)
| s_sworst7_init != pvar1401_init
| ~ leq(pv20,minus(n330,n1))
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != a_select2(s_values7_init,sK7)
| s_sworst7_init != s_worst7_init
| s_sworst7_init != pvar1400_init
| ~ leq(n0,s_best7)
| s_sworst7_init != pvar1402_init
| sP1
| ~ leq(s_sworst7,n3)
| sP0 ),
inference(definition_unfolding,[],[f203,f218,f218,f218,f218,f218,f218,f218,f218,f218]) ).
fof(f203,plain,
( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| init != pvar1401_init
| init != pvar1402_init
| init != pvar1400_init
| init != a_select2(s_values7_init,sK7)
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) ),
inference(cnf_transformation,[],[f155]) ).
fof(f452,plain,
( ~ spl8_7
| spl8_9 ),
inference(avatar_split_clause,[],[f280,f344,f335]) ).
fof(f335,plain,
( spl8_7
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f280,plain,
( s_sworst7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f216,f218]) ).
fof(f216,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f451,plain,
( ~ spl8_21
| ~ spl8_10
| ~ spl8_18
| spl8_5
| ~ spl8_15
| ~ spl8_22
| spl8_2
| spl8_7
| ~ spl8_13
| ~ spl8_11
| ~ spl8_14
| ~ spl8_20
| spl8_4
| spl8_23
| ~ spl8_16
| ~ spl8_19
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f298,f376,f384,f372,f400,f321,f388,f364,f352,f360,f335,f312,f396,f368,f326,f380,f348,f392]) ).
fof(f298,plain,
( ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_sworst7,n3)
| leq(n0,sK7)
| sP1
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_sworst7)
| s_sworst7_init != s_worst7_init
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv20)
| sP0
| s_best7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) ),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f297,plain,
( sP1
| ~ leq(n0,s_sworst7)
| ~ leq(s_worst7,n3)
| s_best7_init != s_sworst7_init
| ~ leq(s_sworst7,n3)
| s_sworst7_init != s_worst7_init
| ~ leq(pv19,minus(n410,n1))
| gt(loopcounter,n1)
| ~ leq(n0,pv19)
| sP0
| ~ leq(n0,s_worst7)
| sP2
| ~ leq(n0,pv20)
| ~ leq(pv20,minus(n330,n1))
| s_sworst7_init != s_sworst7_init
| leq(n0,sK7)
| ~ leq(n0,s_best7)
| ~ leq(s_best7,n3) ),
inference(duplicate_literal_removal,[],[f287]) ).
fof(f287,plain,
( s_sworst7_init != s_sworst7_init
| sP2
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP0
| leq(n0,sK7)
| ~ leq(n0,pv20)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| gt(loopcounter,n1)
| ~ leq(n0,pv19)
| ~ leq(pv20,minus(n330,n1))
| s_best7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_sworst7_init != s_worst7_init
| sP1 ),
inference(definition_unfolding,[],[f207,f218,f218,f218,f218,f218]) ).
fof(f207,plain,
( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| gt(loopcounter,n1)
| leq(n0,sK7)
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) ),
inference(cnf_transformation,[],[f155]) ).
fof(f450,plain,
( ~ spl8_13
| ~ spl8_16
| ~ spl8_20
| ~ spl8_11
| spl8_5
| spl8_4
| ~ spl8_15
| ~ spl8_10
| ~ spl8_9
| ~ spl8_14
| spl8_2
| ~ spl8_22
| ~ spl8_8
| spl8_31
| ~ spl8_17
| ~ spl8_12
| ~ spl8_19
| ~ spl8_21
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f300,f380,f392,f384,f356,f376,f446,f339,f396,f312,f364,f344,f348,f368,f321,f326,f352,f388,f372,f360]) ).
fof(f300,plain,
( s_best7_init != s_sworst7_init
| ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| s_sworst7_init != pvar1401_init
| ~ leq(n0,s_best7)
| leq(sK7,n3)
| s_sworst7_init != pvar1400_init
| ~ leq(pv20,minus(n330,n1))
| sP2
| ~ leq(n0,s_sworst7)
| s_sworst7_init != pvar1402_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv20)
| sP1
| sP0
| s_sworst7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3) ),
inference(trivial_inequality_removal,[],[f299]) ).
fof(f299,plain,
( s_sworst7_init != s_sworst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| s_sworst7_init != pvar1402_init
| sP1
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| sP2
| ~ leq(n0,s_worst7)
| s_sworst7_init != s_worst7_init
| s_sworst7_init != pvar1401_init
| ~ leq(pv20,minus(n330,n1))
| sP0
| ~ leq(n0,s_sworst7)
| s_sworst7_init != pvar1400_init
| ~ leq(n0,s_best7)
| s_best7_init != s_sworst7_init
| leq(sK7,n3) ),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f289,plain,
( ~ leq(pv19,minus(n410,n1))
| leq(sK7,n3)
| s_sworst7_init != pvar1401_init
| ~ leq(n0,s_best7)
| s_sworst7_init != s_sworst7_init
| sP2
| ~ leq(n0,pv20)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != pvar1400_init
| ~ leq(s_sworst7,n3)
| s_best7_init != s_sworst7_init
| sP1
| s_sworst7_init != pvar1402_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(pv20,minus(n330,n1))
| s_sworst7_init != s_worst7_init
| sP0 ),
inference(definition_unfolding,[],[f205,f218,f218,f218,f218,f218,f218,f218,f218]) ).
fof(f205,plain,
( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| init != pvar1401_init
| init != pvar1402_init
| init != pvar1400_init
| leq(sK7,n3)
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) ),
inference(cnf_transformation,[],[f155]) ).
fof(f449,plain,
( spl8_4
| ~ spl8_19
| ~ spl8_22
| ~ spl8_10
| ~ spl8_18
| spl8_5
| ~ spl8_15
| spl8_2
| ~ spl8_14
| spl8_31
| ~ spl8_17
| ~ spl8_20
| ~ spl8_13
| spl8_7
| ~ spl8_16
| ~ spl8_21
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f302,f352,f392,f372,f335,f360,f388,f376,f446,f364,f312,f368,f326,f380,f348,f396,f384,f321]) ).
fof(f302,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,pv19)
| ~ leq(s_sworst7,n3)
| gt(loopcounter,n1)
| ~ leq(s_best7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| leq(sK7,n3)
| ~ leq(n0,s_sworst7)
| sP2
| ~ leq(n0,pv20)
| sP0
| s_best7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| sP1 ),
inference(trivial_inequality_removal,[],[f301]) ).
fof(f301,plain,
( s_sworst7_init != s_worst7_init
| sP0
| leq(sK7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_best7)
| sP2
| ~ leq(n0,pv20)
| ~ leq(n0,s_sworst7)
| ~ leq(s_sworst7,n3)
| sP1
| ~ leq(pv20,minus(n330,n1))
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| s_best7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| gt(loopcounter,n1)
| ~ leq(s_worst7,n3) ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f286,plain,
( ~ leq(n0,s_best7)
| gt(loopcounter,n1)
| s_best7_init != s_sworst7_init
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,pv19)
| s_sworst7_init != s_sworst7_init
| leq(sK7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| s_sworst7_init != s_worst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1)) ),
inference(definition_unfolding,[],[f208,f218,f218,f218,f218,f218]) ).
fof(f208,plain,
( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| gt(loopcounter,n1)
| leq(sK7,n3)
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) ),
inference(cnf_transformation,[],[f155]) ).
fof(f444,plain,
( spl8_30
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f199,f326,f441]) ).
fof(f199,plain,
( ~ sP0
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( leq(sK5,n2)
& leq(sK6,n3)
& leq(n0,sK6)
& init != a_select3(simplex7_init,sK6,sK5)
& leq(n0,sK5) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f149,f151,f150]) ).
fof(f150,plain,
( ? [X0] :
( leq(X0,n2)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) )
& leq(n0,X0) )
=> ( leq(sK5,n2)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,sK5) )
& leq(n0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,sK5) )
=> ( leq(sK6,n3)
& leq(n0,sK6)
& init != a_select3(simplex7_init,sK6,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X0] :
( leq(X0,n2)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) )
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
( ? [X8] :
( leq(X8,n2)
& ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8) )
& leq(n0,X8) )
| ~ sP0 ),
inference(nnf_transformation,[],[f134]) ).
fof(f439,plain,
( ~ spl8_29
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f275,f326,f436]) ).
fof(f275,plain,
( ~ sP0
| s_sworst7_init != a_select3(simplex7_init,sK6,sK5) ),
inference(definition_unfolding,[],[f198,f218]) ).
fof(f198,plain,
( init != a_select3(simplex7_init,sK6,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f434,plain,
spl8_16,
inference(avatar_split_clause,[],[f222,f372]) ).
fof(f222,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f155]) ).
fof(f433,plain,
( ~ spl8_19
| ~ spl8_15
| ~ spl8_21
| ~ spl8_28
| ~ spl8_17
| ~ spl8_20
| spl8_4
| ~ spl8_13
| ~ spl8_22
| spl8_7
| spl8_2
| ~ spl8_16
| ~ spl8_10
| ~ spl8_18
| ~ spl8_14
| ~ spl8_11
| spl8_5 ),
inference(avatar_split_clause,[],[f304,f326,f352,f364,f380,f348,f372,f312,f335,f396,f360,f321,f388,f376,f430,f392,f368,f384]) ).
fof(f304,plain,
( sP0
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_sworst7)
| s_best7_init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(s_sworst7,n3)
| sP2
| gt(loopcounter,n1)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_best7,n3)
| sP1
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| s_sworst7_init != a_select2(s_values7_init,sK7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(pv19,minus(n410,n1)) ),
inference(trivial_inequality_removal,[],[f303]) ).
fof(f303,plain,
( sP1
| ~ leq(n0,s_sworst7)
| gt(loopcounter,n1)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| sP0
| ~ leq(n0,s_worst7)
| s_sworst7_init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| sP2
| s_best7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| ~ leq(s_worst7,n3)
| s_sworst7_init != a_select2(s_values7_init,sK7)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3) ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f288,plain,
( s_sworst7_init != s_sworst7_init
| sP0
| s_sworst7_init != s_worst7_init
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv20)
| s_sworst7_init != a_select2(s_values7_init,sK7)
| ~ leq(pv19,minus(n410,n1))
| sP1
| gt(loopcounter,n1)
| s_sworst7_init != s_sworst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_best7,n3)
| s_best7_init != s_sworst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_sworst7)
| sP2
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7) ),
inference(definition_unfolding,[],[f206,f218,f218,f218,f218,f218,f218]) ).
fof(f206,plain,
( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| gt(loopcounter,n1)
| init != a_select2(s_values7_init,sK7)
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) ),
inference(cnf_transformation,[],[f155]) ).
fof(f428,plain,
spl8_13,
inference(avatar_split_clause,[],[f229,f360]) ).
fof(f229,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f155]) ).
fof(f427,plain,
( ~ spl8_4
| spl8_27 ),
inference(avatar_split_clause,[],[f196,f424,f321]) ).
fof(f196,plain,
( leq(n0,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f422,plain,
( spl8_26
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f192,f312,f419]) ).
fof(f192,plain,
( ~ sP2
| leq(sK3,minus(n3,n1)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f417,plain,
( ~ spl8_7
| spl8_12 ),
inference(avatar_split_clause,[],[f282,f356,f335]) ).
fof(f282,plain,
( s_sworst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f214,f218]) ).
fof(f214,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f416,plain,
( ~ spl8_5
| spl8_25 ),
inference(avatar_split_clause,[],[f201,f413,f326]) ).
fof(f201,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f411,plain,
( ~ spl8_5
| spl8_24 ),
inference(avatar_split_clause,[],[f197,f408,f326]) ).
fof(f197,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f406,plain,
spl8_20,
inference(avatar_split_clause,[],[f202,f388]) ).
fof(f202,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f155]) ).
fof(f405,plain,
spl8_19,
inference(avatar_split_clause,[],[f225,f384]) ).
fof(f225,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f155]) ).
fof(f404,plain,
spl8_14,
inference(avatar_split_clause,[],[f209,f364]) ).
fof(f209,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f155]) ).
fof(f403,plain,
( ~ spl8_9
| ~ spl8_10
| ~ spl8_8
| ~ spl8_11
| ~ spl8_12
| ~ spl8_13
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16
| ~ spl8_17
| ~ spl8_18
| ~ spl8_19
| spl8_2
| ~ spl8_20
| spl8_4
| ~ spl8_21
| ~ spl8_22
| spl8_23
| spl8_5 ),
inference(avatar_split_clause,[],[f306,f326,f400,f396,f392,f321,f388,f312,f384,f380,f376,f372,f368,f364,f360,f356,f352,f339,f348,f344]) ).
fof(f306,plain,
( sP0
| leq(n0,sK7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| sP1
| ~ leq(s_worst7,n3)
| sP2
| ~ leq(pv19,minus(n410,n1))
| s_best7_init != s_sworst7_init
| ~ leq(n0,s_best7)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| s_sworst7_init != pvar1401_init
| s_sworst7_init != s_worst7_init
| s_sworst7_init != pvar1400_init
| ~ leq(n0,s_worst7)
| s_sworst7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f305]) ).
fof(f305,plain,
( ~ leq(n0,pv19)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,s_best7)
| s_best7_init != s_sworst7_init
| sP1
| leq(n0,sK7)
| sP2
| ~ leq(n0,pv20)
| ~ leq(s_worst7,n3)
| s_sworst7_init != s_worst7_init
| sP0
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| ~ leq(s_sworst7,n3)
| s_sworst7_init != pvar1402_init
| ~ leq(n0,s_worst7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_best7,n3)
| ~ leq(n0,s_sworst7) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f290,plain,
( ~ leq(pv20,minus(n330,n1))
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| s_sworst7_init != s_sworst7_init
| leq(n0,sK7)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| sP1
| ~ leq(n0,s_sworst7)
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| sP2
| ~ leq(n0,s_worst7)
| ~ leq(s_sworst7,n3)
| s_sworst7_init != pvar1400_init
| sP0
| s_best7_init != s_sworst7_init
| ~ leq(s_best7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv20) ),
inference(definition_unfolding,[],[f204,f218,f218,f218,f218,f218,f218,f218,f218]) ).
fof(f204,plain,
( init != init
| ~ leq(pv19,minus(n410,n1))
| init != s_worst7_init
| sP0
| ~ leq(n0,s_sworst7)
| init != pvar1401_init
| init != pvar1402_init
| init != pvar1400_init
| leq(n0,sK7)
| ~ leq(n0,s_best7)
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| init != s_best7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19) ),
inference(cnf_transformation,[],[f155]) ).
fof(f342,plain,
( ~ spl8_7
| spl8_8 ),
inference(avatar_split_clause,[],[f281,f339,f335]) ).
fof(f281,plain,
( s_sworst7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f215,f218]) ).
fof(f215,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f333,plain,
( ~ spl8_5
| spl8_6 ),
inference(avatar_split_clause,[],[f200,f330,f326]) ).
fof(f200,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f324,plain,
( spl8_3
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f194,f321,f317]) ).
fof(f194,plain,
( ~ sP1
| leq(sK4,n2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f315,plain,
( spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f191,f312,f308]) ).
fof(f191,plain,
( ~ sP2
| leq(n0,sK3) ),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV025+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:55:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.41/0.55 % (27028)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.41/0.56 % (27031)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)
% 1.41/0.56 % (27028)First to succeed.
% 1.65/0.57 % (27036)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)
% 1.65/0.57 % (27044)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.65/0.58 % (27028)Refutation found. Thanks to Tanya!
% 1.65/0.58 % SZS status Theorem for theBenchmark
% 1.65/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.59 % (27028)------------------------------
% 1.65/0.59 % (27028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (27028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (27028)Termination reason: Refutation
% 1.65/0.59
% 1.65/0.59 % (27028)Memory used [KB]: 6268
% 1.65/0.59 % (27028)Time elapsed: 0.147 s
% 1.65/0.59 % (27028)Instructions burned: 10 (million)
% 1.65/0.59 % (27028)------------------------------
% 1.65/0.59 % (27028)------------------------------
% 1.65/0.59 % (27021)Success in time 0.234 s
%------------------------------------------------------------------------------