TSTP Solution File: SWV026+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV026+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 : n023.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 2.15s 0.66s
% Output : Refutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 44
% Syntax : Number of formulae : 185 ( 32 unt; 0 def)
% Number of atoms : 1520 ( 353 equ)
% Maximal formula atoms : 70 ( 8 avg)
% Number of connectives : 2144 ( 809 ~; 876 |; 380 &)
% ( 35 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 39 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 30 con; 0-3 aty)
% Number of variables : 96 ( 65 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f512,plain,
$false,
inference(avatar_sat_refutation,[],[f316,f325,f330,f335,f404,f421,f422,f423,f424,f425,f430,f435,f440,f441,f446,f447,f452,f457,f462,f463,f464,f465,f466,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f481,f486,f505,f508,f511]) ).
fof(f511,plain,
( ~ spl8_30
| ~ spl8_5
| spl8_1 ),
inference(avatar_split_clause,[],[f510,f309,f327,f437]) ).
fof(f437,plain,
( spl8_30
<=> leq(n0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).
fof(f327,plain,
( spl8_5
<=> leq(sK3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f309,plain,
( spl8_1
<=> s_best7_init = a_select2(s_center7_init,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f510,plain,
( ~ leq(sK3,n2)
| ~ leq(n0,sK3)
| spl8_1 ),
inference(trivial_inequality_removal,[],[f509]) ).
fof(f509,plain,
( ~ leq(n0,sK3)
| s_best7_init != s_best7_init
| ~ leq(sK3,n2)
| spl8_1 ),
inference(superposition,[],[f311,f291]) ).
fof(f291,plain,
! [X5] :
( s_best7_init = a_select2(s_center7_init,X5)
| ~ leq(X5,n2)
| ~ leq(n0,X5) ),
inference(definition_unfolding,[],[f194,f212]) ).
fof(f212,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( leq(n0,pv9)
& leq(n0,pv1376)
& init = init
& leq(n0,pv19)
& leq(n0,s_best7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& ! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& leq(pv9,minus(n410,n1))
& init = s_best7_init
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& leq(s_worst7,n3)
& leq(n0,pv20)
& init = s_worst7_init
& leq(pv20,minus(n330,n1))
& leq(n0,s_worst7)
& init = s_sworst7_init
& leq(pv19,minus(n410,n1))
& ( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ( leq(sK7,n3)
& init != a_select2(s_values7_init,sK7)
& leq(n0,sK7) )
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| init != s_best7_init
| sP2
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) )
& ! [X4] :
( init = a_select2(s_try7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) )
& leq(pv1376,n3)
& leq(n0,s_sworst7)
& ! [X5] :
( init = a_select2(s_center7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f153,f154]) ).
fof(f154,plain,
( ? [X3] :
( leq(X3,n3)
& init != a_select2(s_values7_init,X3)
& leq(n0,X3) )
=> ( leq(sK7,n3)
& init != a_select2(s_values7_init,sK7)
& leq(n0,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( leq(n0,pv9)
& leq(n0,pv1376)
& init = init
& leq(n0,pv19)
& leq(n0,s_best7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& ! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& leq(pv9,minus(n410,n1))
& init = s_best7_init
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& leq(s_worst7,n3)
& leq(n0,pv20)
& init = s_worst7_init
& leq(pv20,minus(n330,n1))
& leq(n0,s_worst7)
& init = s_sworst7_init
& leq(pv19,minus(n410,n1))
& ( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ? [X3] :
( leq(X3,n3)
& init != a_select2(s_values7_init,X3)
& leq(n0,X3) )
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| init != s_best7_init
| sP2
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) )
& ! [X4] :
( init = a_select2(s_try7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) )
& leq(pv1376,n3)
& leq(n0,s_sworst7)
& ! [X5] :
( init = a_select2(s_center7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n2) ) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
( leq(n0,pv9)
& leq(n0,pv1376)
& init = init
& leq(n0,pv19)
& leq(n0,s_best7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& ! [X4] :
( init = a_select2(s_values7_init,X4)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& leq(pv9,minus(n410,n1))
& init = s_best7_init
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& leq(s_worst7,n3)
& leq(n0,pv20)
& init = s_worst7_init
& leq(pv20,minus(n330,n1))
& leq(n0,s_worst7)
& init = s_sworst7_init
& leq(pv19,minus(n410,n1))
& ( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ? [X5] :
( leq(X5,n3)
& init != a_select2(s_values7_init,X5)
& leq(n0,X5) )
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| init != s_best7_init
| sP2
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) )
& ! [X3] :
( init = a_select2(s_try7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1)) )
& leq(pv1376,n3)
& leq(n0,s_sworst7)
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ) ),
inference(definition_folding,[],[f114,f132,f131,f130]) ).
fof(f130,plain,
( ? [X7] :
( leq(X7,n2)
& leq(n0,X7)
& ? [X8] :
( leq(X8,n3)
& leq(n0,X8)
& init != a_select3(simplex7_init,X8,X7) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f131,plain,
( ? [X6] :
( init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1))
& leq(n0,X6) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f132,plain,
( ? [X9] :
( leq(X9,n2)
& leq(n0,X9)
& init != a_select2(s_center7_init,X9) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f114,plain,
( leq(n0,pv9)
& leq(n0,pv1376)
& init = init
& leq(n0,pv19)
& leq(n0,s_best7)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& ! [X4] :
( init = a_select2(s_values7_init,X4)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& leq(pv9,minus(n410,n1))
& init = s_best7_init
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& leq(s_worst7,n3)
& leq(n0,pv20)
& init = s_worst7_init
& leq(pv20,minus(n330,n1))
& leq(n0,s_worst7)
& init = s_sworst7_init
& leq(pv19,minus(n410,n1))
& ( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ? [X5] :
( leq(X5,n3)
& init != a_select2(s_values7_init,X5)
& leq(n0,X5) )
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| init != s_best7_init
| ? [X9] :
( leq(X9,n2)
& leq(n0,X9)
& init != a_select2(s_center7_init,X9) )
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| ? [X6] :
( init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1))
& leq(n0,X6) )
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| ? [X7] :
( leq(X7,n2)
& leq(n0,X7)
& ? [X8] :
( leq(X8,n3)
& leq(n0,X8)
& init != a_select3(simplex7_init,X8,X7) ) )
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) )
& ! [X3] :
( init = a_select2(s_try7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,minus(n3,n1)) )
& leq(pv1376,n3)
& leq(n0,s_sworst7)
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
( ( ~ leq(pv19,minus(n410,n1))
| init != s_sworst7_init
| ? [X5] :
( init != a_select2(s_values7_init,X5)
& leq(X5,n3)
& leq(n0,X5) )
| init != s_best7_init
| ~ leq(n0,s_worst7)
| ? [X7] :
( ? [X8] :
( init != a_select3(simplex7_init,X8,X7)
& leq(X8,n3)
& leq(n0,X8) )
& leq(X7,n2)
& leq(n0,X7) )
| ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7)
| init != s_worst7_init
| ~ leq(s_worst7,n3)
| ? [X6] :
( init != a_select2(s_try7_init,X6)
& leq(n0,X6)
& leq(X6,minus(n3,n1)) )
| init != init
| ? [X9] :
( init != a_select2(s_center7_init,X9)
& leq(n0,X9)
& leq(X9,n2) )
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_best7)
| ~ leq(s_sworst7,n3)
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| ~ leq(n0,pv1376)
| ~ leq(pv1376,n3) )
& leq(pv19,minus(n410,n1))
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& leq(s_sworst7,n3)
& leq(n0,pv19)
& init = s_sworst7_init
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& leq(n0,s_best7)
& leq(n0,pv9)
& leq(pv1376,n3)
& leq(n0,s_worst7)
& init = s_best7_init
& leq(n0,pv1376)
& leq(pv9,minus(n410,n1))
& ! [X3] :
( init = a_select2(s_try7_init,X3)
| ~ leq(X3,minus(n3,n1))
| ~ leq(n0,X3) )
& leq(n0,s_sworst7)
& leq(pv20,minus(n330,n1))
& ! [X4] :
( init = a_select2(s_values7_init,X4)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& leq(s_best7,n3)
& leq(n0,pv20)
& init = init
& leq(s_worst7,n3)
& init = s_worst7_init ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
~ ( ( leq(pv19,minus(n410,n1))
& ! [X1] :
( ( leq(X1,n2)
& leq(n0,X1) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n3) )
=> init = a_select3(simplex7_init,X2,X1) ) )
& leq(s_sworst7,n3)
& leq(n0,pv19)
& init = s_sworst7_init
& ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& leq(n0,s_best7)
& leq(n0,pv9)
& leq(pv1376,n3)
& leq(n0,s_worst7)
& init = s_best7_init
& leq(n0,pv1376)
& leq(pv9,minus(n410,n1))
& ! [X3] :
( ( leq(X3,minus(n3,n1))
& leq(n0,X3) )
=> init = a_select2(s_try7_init,X3) )
& leq(n0,s_sworst7)
& leq(pv20,minus(n330,n1))
& ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> init = a_select2(s_values7_init,X4) )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> init = a_select2(s_center7_init,X0) )
& leq(s_best7,n3)
& leq(n0,pv20)
& init = init
& leq(s_worst7,n3)
& init = s_worst7_init )
=> ( leq(pv19,minus(n410,n1))
& init = s_sworst7_init
& ! [X5] :
( ( leq(X5,n3)
& leq(n0,X5) )
=> init = a_select2(s_values7_init,X5) )
& init = s_best7_init
& leq(n0,s_worst7)
& ! [X7] :
( ( leq(X7,n2)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n3)
& leq(n0,X8) )
=> init = a_select3(simplex7_init,X8,X7) ) )
& leq(n0,pv19)
& leq(n0,s_sworst7)
& init = s_worst7_init
& leq(s_worst7,n3)
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X6) )
& init = init
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,n2) )
=> init = a_select2(s_center7_init,X9) )
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(pv20,minus(n330,n1))
& leq(n0,s_best7)
& leq(s_sworst7,n3)
& ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& leq(n0,pv1376)
& leq(pv1376,n3) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv1376)
& leq(s_sworst7,n3)
& leq(pv9,minus(n410,n1))
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& leq(pv20,minus(n330,n1))
& init = s_sworst7_init
& leq(n0,s_worst7)
& leq(s_worst7,n3)
& leq(n0,pv20)
& leq(n0,pv9)
& leq(s_best7,n3)
& leq(pv19,minus(n410,n1))
& init = init
& leq(n0,pv19)
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& init = s_worst7_init
& ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& init = s_best7_init
& leq(pv1376,n3)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n3) )
=> init = a_select2(s_values7_init,X3) )
& leq(n0,s_best7)
& leq(n0,s_sworst7) )
=> ( init = s_worst7_init
& leq(s_worst7,n3)
& leq(n0,pv19)
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> init = a_select2(s_values7_init,X28) )
& leq(n0,pv20)
& init = s_sworst7_init
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& leq(pv20,minus(n330,n1))
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,pv1376)
& init = s_best7_init
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& leq(pv19,minus(n410,n1))
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& leq(pv1376,n3)
& ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& leq(s_best7,n3)
& init = init ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n0,pv1376)
& leq(s_sworst7,n3)
& leq(pv9,minus(n410,n1))
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& leq(pv20,minus(n330,n1))
& init = s_sworst7_init
& leq(n0,s_worst7)
& leq(s_worst7,n3)
& leq(n0,pv20)
& leq(n0,pv9)
& leq(s_best7,n3)
& leq(pv19,minus(n410,n1))
& init = init
& leq(n0,pv19)
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& init = s_worst7_init
& ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& init = s_best7_init
& leq(pv1376,n3)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n3) )
=> init = a_select2(s_values7_init,X3) )
& leq(n0,s_best7)
& leq(n0,s_sworst7) )
=> ( init = s_worst7_init
& leq(s_worst7,n3)
& leq(n0,pv19)
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> init = a_select2(s_values7_init,X28) )
& leq(n0,pv20)
& init = s_sworst7_init
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& leq(pv20,minus(n330,n1))
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,pv1376)
& init = s_best7_init
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& leq(pv19,minus(n410,n1))
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& leq(pv1376,n3)
& ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& leq(s_best7,n3)
& init = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0017) ).
fof(f194,plain,
! [X5] :
( init = a_select2(s_center7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f311,plain,
( s_best7_init != a_select2(s_center7_init,sK3)
| spl8_1 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f508,plain,
( ~ spl8_6
| ~ spl8_3
| ~ spl8_31
| ~ spl8_35
| spl8_33 ),
inference(avatar_split_clause,[],[f507,f454,f468,f443,f318,f332]) ).
fof(f332,plain,
( spl8_6
<=> leq(n0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f318,plain,
( spl8_3
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f443,plain,
( spl8_31
<=> leq(sK6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).
fof(f468,plain,
( spl8_35
<=> leq(sK5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_35])]) ).
fof(f454,plain,
( spl8_33
<=> s_best7_init = a_select3(simplex7_init,sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).
fof(f507,plain,
( ~ leq(sK5,n2)
| ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| ~ leq(n0,sK5)
| spl8_33 ),
inference(trivial_inequality_removal,[],[f506]) ).
fof(f506,plain,
( s_best7_init != s_best7_init
| ~ leq(n0,sK5)
| ~ leq(sK5,n2)
| ~ leq(n0,sK6)
| ~ leq(sK6,n3)
| spl8_33 ),
inference(superposition,[],[f456,f281]) ).
fof(f281,plain,
! [X2,X1] :
( s_best7_init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f211,f212]) ).
fof(f211,plain,
! [X2,X1] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f456,plain,
( s_best7_init != a_select3(simplex7_init,sK6,sK5)
| spl8_33 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f505,plain,
( ~ spl8_34
| ~ spl8_28
| spl8_32 ),
inference(avatar_split_clause,[],[f502,f449,f427,f459]) ).
fof(f459,plain,
( spl8_34
<=> leq(n0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).
fof(f427,plain,
( spl8_28
<=> leq(sK4,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).
fof(f449,plain,
( spl8_32
<=> s_best7_init = a_select2(s_try7_init,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).
fof(f502,plain,
( ~ leq(n0,sK4)
| ~ spl8_28
| spl8_32 ),
inference(subsumption_resolution,[],[f501,f451]) ).
fof(f451,plain,
( s_best7_init != a_select2(s_try7_init,sK4)
| spl8_32 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f501,plain,
( s_best7_init = a_select2(s_try7_init,sK4)
| ~ leq(n0,sK4)
| ~ spl8_28 ),
inference(resolution,[],[f429,f290]) ).
fof(f290,plain,
! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| s_best7_init = a_select2(s_try7_init,X4) ),
inference(definition_unfolding,[],[f197,f212]) ).
fof(f197,plain,
! [X4] :
( init = a_select2(s_try7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f429,plain,
( leq(sK4,minus(n3,n1))
| ~ spl8_28 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f486,plain,
( ~ spl8_14
| spl8_27
| ~ spl8_29 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| ~ spl8_14
| spl8_27
| ~ spl8_29 ),
inference(subsumption_resolution,[],[f484,f367]) ).
fof(f367,plain,
( leq(sK7,n3)
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl8_14
<=> leq(sK7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f484,plain,
( ~ leq(sK7,n3)
| spl8_27
| ~ spl8_29 ),
inference(subsumption_resolution,[],[f483,f434]) ).
fof(f434,plain,
( leq(n0,sK7)
| ~ spl8_29 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl8_29
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).
fof(f483,plain,
( ~ leq(n0,sK7)
| ~ leq(sK7,n3)
| spl8_27 ),
inference(trivial_inequality_removal,[],[f482]) ).
fof(f482,plain,
( ~ leq(n0,sK7)
| ~ leq(sK7,n3)
| s_best7_init != s_best7_init
| spl8_27 ),
inference(superposition,[],[f420,f277]) ).
fof(f277,plain,
! [X0] :
( s_best7_init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(definition_unfolding,[],[f217,f212]) ).
fof(f217,plain,
! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f420,plain,
( s_best7_init != a_select2(s_values7_init,sK7)
| spl8_27 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl8_27
<=> s_best7_init = a_select2(s_values7_init,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
fof(f481,plain,
spl8_12,
inference(avatar_split_clause,[],[f220,f357]) ).
fof(f357,plain,
( spl8_12
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f220,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f155]) ).
fof(f480,plain,
spl8_10,
inference(avatar_split_clause,[],[f210,f349]) ).
fof(f349,plain,
( spl8_10
<=> leq(s_worst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f210,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f155]) ).
fof(f479,plain,
spl8_9,
inference(avatar_split_clause,[],[f196,f345]) ).
fof(f345,plain,
( spl8_9
<=> leq(pv1376,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f196,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f155]) ).
fof(f478,plain,
spl8_18,
inference(avatar_split_clause,[],[f204,f381]) ).
fof(f381,plain,
( spl8_18
<=> leq(pv19,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f204,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f155]) ).
fof(f477,plain,
spl8_13,
inference(avatar_split_clause,[],[f282,f361]) ).
fof(f361,plain,
( spl8_13
<=> s_best7_init = s_worst7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f282,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f208,f212]) ).
fof(f208,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f155]) ).
fof(f476,plain,
spl8_11,
inference(avatar_split_clause,[],[f221,f353]) ).
fof(f353,plain,
( spl8_11
<=> leq(n0,pv19) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f221,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f155]) ).
fof(f475,plain,
( spl8_7
| ~ spl8_12
| ~ spl8_8
| ~ spl8_13
| ~ spl8_9
| ~ spl8_25
| ~ spl8_24
| spl8_4
| ~ spl8_18
| ~ spl8_19
| ~ spl8_21
| ~ spl8_15
| spl8_2
| ~ spl8_26
| ~ spl8_20
| ~ spl8_11
| ~ spl8_17
| spl8_14
| ~ spl8_22
| ~ spl8_10
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f297,f401,f349,f397,f365,f377,f353,f389,f414,f313,f369,f393,f385,f381,f322,f406,f410,f345,f361,f341,f357,f337]) ).
fof(f337,plain,
( spl8_7
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f341,plain,
( spl8_8
<=> leq(s_sworst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f410,plain,
( spl8_25
<=> s_best7_init = pvar1401_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).
fof(f406,plain,
( spl8_24
<=> s_best7_init = pvar1402_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
fof(f322,plain,
( spl8_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f385,plain,
( spl8_19
<=> leq(n0,s_worst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f393,plain,
( spl8_21
<=> leq(pv20,minus(n330,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
fof(f369,plain,
( spl8_15
<=> leq(n0,pv1376) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f313,plain,
( spl8_2
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f414,plain,
( spl8_26
<=> s_best7_init = pvar1400_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
fof(f389,plain,
( spl8_20
<=> leq(s_best7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f377,plain,
( spl8_17
<=> leq(n0,pv20) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f397,plain,
( spl8_22
<=> s_best7_init = s_sworst7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
fof(f401,plain,
( spl8_23
<=> leq(n0,s_sworst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
fof(f297,plain,
( ~ leq(n0,s_sworst7)
| ~ leq(s_worst7,n3)
| s_best7_init != s_sworst7_init
| leq(sK7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| s_best7_init != pvar1400_init
| sP2
| ~ leq(n0,pv1376)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| ~ leq(pv19,minus(n410,n1))
| sP0
| s_best7_init != pvar1402_init
| s_best7_init != pvar1401_init
| ~ leq(pv1376,n3)
| s_best7_init != s_worst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_best7)
| sP1 ),
inference(trivial_inequality_removal,[],[f296]) ).
fof(f296,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_best7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv20)
| s_best7_init != pvar1402_init
| sP0
| ~ leq(pv1376,n3)
| s_best7_init != pvar1401_init
| sP2
| ~ leq(n0,s_sworst7)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv19)
| sP1
| leq(sK7,n3)
| ~ leq(n0,pv1376)
| s_best7_init != pvar1400_init
| ~ leq(pv19,minus(n410,n1))
| s_best7_init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_best7,n3) ),
inference(duplicate_literal_removal,[],[f285]) ).
fof(f285,plain,
( sP0
| ~ leq(n0,s_sworst7)
| s_best7_init != pvar1402_init
| ~ leq(pv20,minus(n330,n1))
| s_best7_init != s_sworst7_init
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| s_best7_init != pvar1401_init
| ~ leq(s_sworst7,n3)
| sP1
| s_best7_init != s_best7_init
| ~ leq(n0,s_worst7)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| s_best7_init != s_worst7_init
| leq(sK7,n3)
| sP2
| s_best7_init != pvar1400_init
| s_best7_init != s_best7_init
| ~ leq(n0,pv1376)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1)) ),
inference(definition_unfolding,[],[f202,f212,f212,f212,f212,f212,f212,f212,f212]) ).
fof(f202,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| leq(sK7,n3)
| init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init
| init != s_best7_init
| sP2
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) ),
inference(cnf_transformation,[],[f155]) ).
fof(f474,plain,
spl8_21,
inference(avatar_split_clause,[],[f207,f393]) ).
fof(f207,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f155]) ).
fof(f473,plain,
spl8_15,
inference(avatar_split_clause,[],[f223,f369]) ).
fof(f223,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f155]) ).
fof(f472,plain,
spl8_23,
inference(avatar_split_clause,[],[f195,f401]) ).
fof(f195,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f155]) ).
fof(f471,plain,
( spl8_35
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f193,f322,f468]) ).
fof(f193,plain,
( ~ sP0
| leq(sK5,n2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( leq(sK5,n2)
& leq(n0,sK5)
& leq(sK6,n3)
& leq(n0,sK6)
& init != a_select3(simplex7_init,sK6,sK5) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f149,f151,f150]) ).
fof(f150,plain,
( ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) ) )
=> ( leq(sK5,n2)
& leq(n0,sK5)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,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)
& leq(n0,X0)
& ? [X1] :
( leq(X1,n3)
& leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0) ) )
| ~ sP0 ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
( ? [X7] :
( leq(X7,n2)
& leq(n0,X7)
& ? [X8] :
( leq(X8,n3)
& leq(n0,X8)
& init != a_select3(simplex7_init,X8,X7) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f130]) ).
fof(f466,plain,
( spl8_24
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f278,f373,f406]) ).
fof(f373,plain,
( spl8_16
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f278,plain,
( ~ gt(loopcounter,n1)
| s_best7_init = pvar1402_init ),
inference(definition_unfolding,[],[f216,f212]) ).
fof(f216,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f465,plain,
spl8_22,
inference(avatar_split_clause,[],[f283,f397]) ).
fof(f283,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f205,f212]) ).
fof(f205,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f155]) ).
fof(f464,plain,
spl8_19,
inference(avatar_split_clause,[],[f206,f385]) ).
fof(f206,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f155]) ).
fof(f463,plain,
( ~ spl8_16
| spl8_26 ),
inference(avatar_split_clause,[],[f280,f414,f373]) ).
fof(f280,plain,
( s_best7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f214,f212]) ).
fof(f214,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f462,plain,
( ~ spl8_7
| spl8_34 ),
inference(avatar_split_clause,[],[f186,f459,f337]) ).
fof(f186,plain,
( leq(n0,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( init != a_select2(s_try7_init,sK4)
& leq(sK4,minus(n3,n1))
& leq(n0,sK4) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f145,f146]) ).
fof(f146,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> ( init != a_select2(s_try7_init,sK4)
& leq(sK4,minus(n3,n1))
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
( ? [X6] :
( init != a_select2(s_try7_init,X6)
& leq(X6,minus(n3,n1))
& leq(n0,X6) )
| ~ sP1 ),
inference(nnf_transformation,[],[f131]) ).
fof(f457,plain,
( ~ spl8_33
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f275,f322,f454]) ).
fof(f275,plain,
( ~ sP0
| s_best7_init != a_select3(simplex7_init,sK6,sK5) ),
inference(definition_unfolding,[],[f189,f212]) ).
fof(f189,plain,
( init != a_select3(simplex7_init,sK6,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f452,plain,
( ~ spl8_7
| ~ spl8_32 ),
inference(avatar_split_clause,[],[f274,f449,f337]) ).
fof(f274,plain,
( s_best7_init != a_select2(s_try7_init,sK4)
| ~ sP1 ),
inference(definition_unfolding,[],[f188,f212]) ).
fof(f188,plain,
( init != a_select2(s_try7_init,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f447,plain,
( spl8_2
| ~ spl8_10
| spl8_4
| ~ spl8_17
| ~ spl8_21
| ~ spl8_18
| ~ spl8_19
| ~ spl8_15
| spl8_7
| spl8_29
| ~ spl8_9
| ~ spl8_13
| ~ spl8_22
| ~ spl8_8
| ~ spl8_11
| spl8_16
| ~ spl8_12
| ~ spl8_23
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f299,f389,f401,f357,f373,f353,f341,f397,f361,f345,f432,f337,f369,f385,f381,f393,f377,f322,f349,f313]) ).
fof(f299,plain,
( ~ leq(s_best7,n3)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| gt(loopcounter,n1)
| ~ leq(n0,pv19)
| ~ leq(s_sworst7,n3)
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(pv1376,n3)
| leq(n0,sK7)
| sP1
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv20)
| sP0
| ~ leq(s_worst7,n3)
| sP2 ),
inference(trivial_inequality_removal,[],[f298]) ).
fof(f298,plain,
( sP2
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| s_best7_init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv20)
| sP0
| ~ leq(n0,s_best7)
| leq(n0,sK7)
| s_best7_init != s_best7_init
| sP1
| ~ leq(s_sworst7,n3)
| s_best7_init != s_worst7_init
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376) ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f288,plain,
( ~ leq(n0,pv20)
| leq(n0,sK7)
| s_best7_init != s_best7_init
| s_best7_init != s_worst7_init
| sP0
| sP2
| gt(loopcounter,n1)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7)
| ~ leq(s_sworst7,n3)
| s_best7_init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_sworst7)
| s_best7_init != s_best7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| ~ leq(n0,pv19)
| sP1
| ~ leq(n0,s_worst7) ),
inference(definition_unfolding,[],[f199,f212,f212,f212,f212,f212]) ).
fof(f199,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| leq(n0,sK7)
| gt(loopcounter,n1)
| init != s_best7_init
| sP2
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) ),
inference(cnf_transformation,[],[f155]) ).
fof(f446,plain,
( spl8_31
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f191,f322,f443]) ).
fof(f191,plain,
( ~ sP0
| leq(sK6,n3) ),
inference(cnf_transformation,[],[f152]) ).
fof(f441,plain,
spl8_20,
inference(avatar_split_clause,[],[f219,f389]) ).
fof(f219,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f155]) ).
fof(f440,plain,
( spl8_30
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f184,f313,f437]) ).
fof(f184,plain,
( ~ sP2
| leq(n0,sK3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( leq(sK3,n2)
& leq(n0,sK3)
& init != a_select2(s_center7_init,sK3) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f141,f142]) ).
fof(f142,plain,
( ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& init != a_select2(s_center7_init,X0) )
=> ( leq(sK3,n2)
& leq(n0,sK3)
& init != a_select2(s_center7_init,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& init != a_select2(s_center7_init,X0) )
| ~ sP2 ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( ? [X9] :
( leq(X9,n2)
& leq(n0,X9)
& init != a_select2(s_center7_init,X9) )
| ~ sP2 ),
inference(nnf_transformation,[],[f132]) ).
fof(f435,plain,
( ~ spl8_21
| ~ spl8_17
| ~ spl8_9
| ~ spl8_11
| spl8_2
| ~ spl8_22
| ~ spl8_25
| spl8_29
| ~ spl8_8
| spl8_7
| ~ spl8_20
| ~ spl8_10
| ~ spl8_23
| ~ spl8_15
| ~ spl8_24
| ~ spl8_18
| spl8_4
| ~ spl8_26
| ~ spl8_13
| ~ spl8_12
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f301,f385,f357,f361,f414,f322,f381,f406,f369,f401,f349,f389,f337,f341,f432,f410,f397,f313,f353,f345,f377,f393]) ).
fof(f301,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_best7_init != s_worst7_init
| s_best7_init != pvar1400_init
| sP0
| ~ leq(pv19,minus(n410,n1))
| s_best7_init != pvar1402_init
| ~ leq(n0,pv1376)
| ~ leq(n0,s_sworst7)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| sP1
| ~ leq(s_sworst7,n3)
| leq(n0,sK7)
| s_best7_init != pvar1401_init
| s_best7_init != s_sworst7_init
| sP2
| ~ leq(n0,pv19)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| ~ leq(pv20,minus(n330,n1)) ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( s_best7_init != s_sworst7_init
| leq(n0,sK7)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_best7)
| sP2
| ~ leq(n0,s_sworst7)
| s_best7_init != s_best7_init
| sP0
| ~ leq(n0,pv19)
| ~ leq(s_sworst7,n3)
| s_best7_init != pvar1400_init
| s_best7_init != pvar1402_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_worst7,n3)
| s_best7_init != s_worst7_init
| s_best7_init != pvar1401_init
| sP1
| ~ leq(n0,s_worst7) ),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f289,plain,
( ~ leq(n0,pv19)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_sworst7)
| sP2
| ~ leq(n0,pv1376)
| s_best7_init != s_best7_init
| ~ leq(n0,s_worst7)
| sP1
| s_best7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| s_best7_init != pvar1400_init
| ~ leq(n0,pv20)
| leq(n0,sK7)
| s_best7_init != pvar1402_init
| ~ leq(n0,s_best7)
| s_best7_init != s_best7_init
| ~ leq(s_sworst7,n3)
| s_best7_init != pvar1401_init
| ~ leq(s_best7,n3)
| s_best7_init != s_worst7_init
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3) ),
inference(definition_unfolding,[],[f198,f212,f212,f212,f212,f212,f212,f212,f212]) ).
fof(f198,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| leq(n0,sK7)
| init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init
| init != s_best7_init
| sP2
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) ),
inference(cnf_transformation,[],[f155]) ).
fof(f430,plain,
( ~ spl8_7
| spl8_28 ),
inference(avatar_split_clause,[],[f187,f427,f337]) ).
fof(f187,plain,
( leq(sK4,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f425,plain,
( spl8_16
| spl8_7
| ~ spl8_21
| ~ spl8_23
| ~ spl8_20
| ~ spl8_15
| spl8_4
| ~ spl8_12
| ~ spl8_18
| spl8_2
| ~ spl8_27
| ~ spl8_9
| ~ spl8_13
| ~ spl8_8
| ~ spl8_11
| ~ spl8_10
| ~ spl8_19
| ~ spl8_17
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f303,f397,f377,f385,f349,f353,f341,f361,f345,f418,f313,f381,f357,f322,f369,f389,f401,f393,f337,f373]) ).
fof(f303,plain,
( s_best7_init != s_sworst7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv19)
| ~ leq(s_sworst7,n3)
| s_best7_init != s_worst7_init
| ~ leq(pv1376,n3)
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7)
| sP0
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_sworst7)
| ~ leq(pv20,minus(n330,n1))
| sP1
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f302]) ).
fof(f302,plain,
( ~ leq(n0,s_best7)
| ~ leq(n0,s_worst7)
| sP1
| ~ leq(n0,pv1376)
| sP2
| s_best7_init != s_sworst7_init
| ~ leq(n0,pv20)
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| sP0
| gt(loopcounter,n1)
| ~ leq(s_sworst7,n3)
| s_best7_init != s_best7_init
| s_best7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| s_best7_init != a_select2(s_values7_init,sK7)
| ~ leq(n0,s_sworst7)
| ~ leq(pv19,minus(n410,n1)) ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f286,plain,
( sP1
| ~ leq(n0,pv1376)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv20)
| s_best7_init != s_best7_init
| gt(loopcounter,n1)
| sP0
| ~ leq(n0,s_worst7)
| s_best7_init != s_worst7_init
| s_best7_init != s_sworst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_sworst7)
| sP2
| ~ leq(s_best7,n3)
| s_best7_init != s_best7_init
| ~ leq(pv1376,n3)
| s_best7_init != a_select2(s_values7_init,sK7)
| ~ leq(s_sworst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19) ),
inference(definition_unfolding,[],[f201,f212,f212,f212,f212,f212,f212]) ).
fof(f201,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| init != a_select2(s_values7_init,sK7)
| gt(loopcounter,n1)
| init != s_best7_init
| sP2
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) ),
inference(cnf_transformation,[],[f155]) ).
fof(f424,plain,
spl8_8,
inference(avatar_split_clause,[],[f218,f341]) ).
fof(f218,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f155]) ).
fof(f423,plain,
( spl8_25
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f279,f373,f410]) ).
fof(f279,plain,
( ~ gt(loopcounter,n1)
| s_best7_init = pvar1401_init ),
inference(definition_unfolding,[],[f215,f212]) ).
fof(f215,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f422,plain,
spl8_17,
inference(avatar_split_clause,[],[f209,f377]) ).
fof(f209,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f155]) ).
fof(f421,plain,
( ~ spl8_24
| spl8_2
| ~ spl8_9
| ~ spl8_12
| ~ spl8_21
| spl8_7
| ~ spl8_10
| ~ spl8_19
| ~ spl8_17
| ~ spl8_22
| ~ spl8_8
| spl8_4
| ~ spl8_25
| ~ spl8_26
| ~ spl8_27
| ~ spl8_23
| ~ spl8_18
| ~ spl8_13
| ~ spl8_20
| ~ spl8_15
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f305,f353,f369,f389,f361,f381,f401,f418,f414,f410,f322,f341,f397,f377,f385,f349,f337,f393,f357,f345,f313,f406]) ).
fof(f305,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| s_best7_init != s_worst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_sworst7)
| s_best7_init != a_select2(s_values7_init,sK7)
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| sP0
| ~ leq(s_sworst7,n3)
| s_best7_init != s_sworst7_init
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(s_worst7,n3)
| sP1
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_best7)
| ~ leq(pv1376,n3)
| sP2
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f304]) ).
fof(f304,plain,
( ~ leq(n0,s_sworst7)
| ~ leq(n0,pv20)
| sP1
| s_best7_init != pvar1402_init
| sP0
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_best7,n3)
| ~ leq(n0,s_best7)
| s_best7_init != pvar1400_init
| sP2
| ~ leq(n0,s_worst7)
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| s_best7_init != pvar1401_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_values7_init,sK7)
| ~ leq(s_sworst7,n3) ),
inference(duplicate_literal_removal,[],[f287]) ).
fof(f287,plain,
( ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| ~ leq(pv1376,n3)
| s_best7_init != a_select2(s_values7_init,sK7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| s_best7_init != s_best7_init
| ~ leq(s_sworst7,n3)
| sP0
| ~ leq(s_worst7,n3)
| s_best7_init != pvar1402_init
| ~ leq(s_best7,n3)
| sP1
| s_best7_init != pvar1401_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,pv1376)
| ~ leq(n0,s_sworst7)
| s_best7_init != s_best7_init
| s_best7_init != pvar1400_init
| sP2
| ~ leq(n0,pv20) ),
inference(definition_unfolding,[],[f200,f212,f212,f212,f212,f212,f212,f212,f212,f212]) ).
fof(f200,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| init != a_select2(s_values7_init,sK7)
| init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init
| init != s_best7_init
| sP2
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) ),
inference(cnf_transformation,[],[f155]) ).
fof(f404,plain,
( spl8_7
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10
| ~ spl8_11
| ~ spl8_12
| spl8_2
| ~ spl8_13
| spl8_14
| ~ spl8_15
| spl8_16
| ~ spl8_17
| ~ spl8_18
| ~ spl8_19
| spl8_4
| ~ spl8_20
| ~ spl8_21
| ~ spl8_22
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f307,f401,f397,f393,f389,f322,f385,f381,f377,f373,f369,f365,f361,f313,f357,f353,f349,f345,f341,f337]) ).
fof(f307,plain,
( ~ leq(n0,s_sworst7)
| s_best7_init != s_sworst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_best7,n3)
| sP0
| ~ leq(n0,s_worst7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv20)
| gt(loopcounter,n1)
| ~ leq(n0,pv1376)
| leq(sK7,n3)
| s_best7_init != s_worst7_init
| sP2
| ~ leq(n0,s_best7)
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ leq(s_sworst7,n3)
| sP1 ),
inference(trivial_inequality_removal,[],[f306]) ).
fof(f306,plain,
( ~ leq(s_worst7,n3)
| leq(sK7,n3)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_worst7)
| ~ leq(s_sworst7,n3)
| s_best7_init != s_worst7_init
| s_best7_init != s_sworst7_init
| ~ leq(n0,pv1376)
| ~ leq(pv20,minus(n330,n1))
| gt(loopcounter,n1)
| ~ leq(n0,s_sworst7)
| s_best7_init != s_best7_init
| ~ leq(n0,s_best7)
| sP0
| ~ leq(n0,pv19)
| sP2
| ~ leq(s_best7,n3)
| sP1 ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f284,plain,
( s_best7_init != s_sworst7_init
| gt(loopcounter,n1)
| ~ leq(n0,s_worst7)
| sP2
| sP0
| s_best7_init != s_best7_init
| leq(sK7,n3)
| ~ leq(n0,pv20)
| ~ leq(s_worst7,n3)
| sP1
| ~ leq(n0,s_best7)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv19)
| ~ leq(n0,s_sworst7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| s_best7_init != s_best7_init
| ~ leq(pv19,minus(n410,n1))
| s_best7_init != s_worst7_init ),
inference(definition_unfolding,[],[f203,f212,f212,f212,f212,f212]) ).
fof(f203,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| leq(sK7,n3)
| gt(loopcounter,n1)
| init != s_best7_init
| sP2
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| init != s_worst7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != init
| ~ leq(s_worst7,n3)
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7) ),
inference(cnf_transformation,[],[f155]) ).
fof(f335,plain,
( ~ spl8_4
| spl8_6 ),
inference(avatar_split_clause,[],[f192,f332,f322]) ).
fof(f192,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f330,plain,
( ~ spl8_2
| spl8_5 ),
inference(avatar_split_clause,[],[f185,f327,f313]) ).
fof(f185,plain,
( leq(sK3,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f325,plain,
( spl8_3
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f190,f322,f318]) ).
fof(f190,plain,
( ~ sP0
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f152]) ).
fof(f316,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f273,f313,f309]) ).
fof(f273,plain,
( ~ sP2
| s_best7_init != a_select2(s_center7_init,sK3) ),
inference(definition_unfolding,[],[f183,f212]) ).
fof(f183,plain,
( init != a_select2(s_center7_init,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV026+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 19:17:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.54 % (9736)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.55 % (9725)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.56 % (9724)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.56 % (9728)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)
% 0.20/0.57 % (9732)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.57 % (9752)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.58 % (9736)Instruction limit reached!
% 0.20/0.58 % (9736)------------------------------
% 0.20/0.58 % (9736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (9736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (9736)Termination reason: Unknown
% 0.20/0.58 % (9736)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (9736)Memory used [KB]: 1791
% 0.20/0.58 % (9736)Time elapsed: 0.014 s
% 0.20/0.58 % (9736)Instructions burned: 16 (million)
% 0.20/0.58 % (9736)------------------------------
% 0.20/0.58 % (9736)------------------------------
% 1.74/0.59 % (9728)Instruction limit reached!
% 1.74/0.59 % (9728)------------------------------
% 1.74/0.59 % (9728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (9728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (9728)Termination reason: Unknown
% 1.74/0.59 % (9728)Termination phase: Property scanning
% 1.74/0.59
% 1.74/0.59 % (9728)Memory used [KB]: 1663
% 1.74/0.59 % (9728)Time elapsed: 0.012 s
% 1.74/0.59 % (9728)Instructions burned: 13 (million)
% 1.74/0.59 % (9728)------------------------------
% 1.74/0.59 % (9728)------------------------------
% 1.74/0.59 % (9744)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.74/0.59 % (9740)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.74/0.59 % (9752)Instruction limit reached!
% 1.74/0.59 % (9752)------------------------------
% 1.74/0.59 % (9752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59 % (9752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59 % (9752)Termination reason: Unknown
% 1.74/0.59 % (9752)Termination phase: Function definition elimination
% 1.74/0.59
% 1.74/0.59 % (9752)Memory used [KB]: 1663
% 1.74/0.59 % (9752)Time elapsed: 0.010 s
% 1.74/0.59 % (9752)Instructions burned: 8 (million)
% 1.74/0.59 % (9752)------------------------------
% 1.74/0.59 % (9752)------------------------------
% 1.74/0.59 % (9735)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.74/0.60 % (9733)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)
% 1.74/0.60 % (9729)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.74/0.60 % (9734)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.74/0.60 % (9741)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.96/0.61 % (9725)Instruction limit reached!
% 1.96/0.61 % (9725)------------------------------
% 1.96/0.61 % (9725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61 % (9725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61 % (9725)Termination reason: Unknown
% 1.96/0.61 % (9725)Termination phase: Property scanning
% 1.96/0.61
% 1.96/0.61 % (9725)Memory used [KB]: 1791
% 1.96/0.61 % (9725)Time elapsed: 0.009 s
% 1.96/0.61 % (9725)Instructions burned: 13 (million)
% 1.96/0.61 % (9725)------------------------------
% 1.96/0.61 % (9725)------------------------------
% 1.96/0.61 % (9730)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)
% 1.96/0.61 % (9741)Instruction limit reached!
% 1.96/0.61 % (9741)------------------------------
% 1.96/0.61 % (9741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61 % (9741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61 % (9741)Termination reason: Unknown
% 1.96/0.61 % (9741)Termination phase: Preprocessing 2
% 1.96/0.61
% 1.96/0.61 % (9741)Memory used [KB]: 1535
% 1.96/0.61 % (9741)Time elapsed: 0.004 s
% 1.96/0.61 % (9741)Instructions burned: 3 (million)
% 1.96/0.61 % (9741)------------------------------
% 1.96/0.61 % (9741)------------------------------
% 1.96/0.62 % (9727)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.62 % (9735)Instruction limit reached!
% 1.96/0.62 % (9735)------------------------------
% 1.96/0.62 % (9735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 % (9726)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.96/0.62 % (9753)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.96/0.62 % (9744)Instruction limit reached!
% 1.96/0.62 % (9744)------------------------------
% 1.96/0.62 % (9744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 % (9739)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.96/0.63 % (9739)Instruction limit reached!
% 1.96/0.63 % (9739)------------------------------
% 1.96/0.63 % (9739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.63 % (9739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.63 % (9739)Termination reason: Unknown
% 1.96/0.63 % (9739)Termination phase: Function definition elimination
% 1.96/0.63
% 1.96/0.63 % (9739)Memory used [KB]: 1663
% 1.96/0.63 % (9739)Time elapsed: 0.006 s
% 1.96/0.63 % (9739)Instructions burned: 8 (million)
% 1.96/0.63 % (9739)------------------------------
% 1.96/0.63 % (9739)------------------------------
% 1.96/0.63 % (9744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.63 % (9744)Termination reason: Unknown
% 1.96/0.63 % (9744)Termination phase: Saturation
% 1.96/0.63
% 1.96/0.63 % (9744)Memory used [KB]: 1791
% 1.96/0.63 % (9744)Time elapsed: 0.029 s
% 1.96/0.63 % (9744)Instructions burned: 30 (million)
% 1.96/0.63 % (9744)------------------------------
% 1.96/0.63 % (9744)------------------------------
% 1.96/0.63 % (9747)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.96/0.63 % (9745)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.63 % (9751)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.96/0.63 % (9735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.63 % (9735)Termination reason: Unknown
% 1.96/0.63 % (9735)Termination phase: Saturation
% 1.96/0.63
% 1.96/0.63 % (9735)Memory used [KB]: 6140
% 1.96/0.63 % (9735)Time elapsed: 0.009 s
% 1.96/0.63 % (9735)Instructions burned: 8 (million)
% 1.96/0.63 % (9735)------------------------------
% 1.96/0.63 % (9735)------------------------------
% 1.96/0.63 % (9750)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.63 % (9731)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)
% 1.96/0.63 % (9730)First to succeed.
% 1.96/0.64 % (9737)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.64 % (9742)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.96/0.64 % (9743)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.96/0.64 % (9742)Instruction limit reached!
% 1.96/0.64 % (9742)------------------------------
% 1.96/0.64 % (9742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64 % (9742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64 % (9742)Termination reason: Unknown
% 1.96/0.64 % (9742)Termination phase: SInE selection
% 1.96/0.64
% 1.96/0.64 % (9742)Memory used [KB]: 1407
% 1.96/0.64 % (9742)Time elapsed: 0.002 s
% 1.96/0.64 % (9742)Instructions burned: 2 (million)
% 1.96/0.64 % (9742)------------------------------
% 1.96/0.64 % (9742)------------------------------
% 1.96/0.64 % (9749)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)
% 1.96/0.64 % (9748)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.96/0.64 % (9726)Instruction limit reached!
% 1.96/0.64 % (9726)------------------------------
% 1.96/0.64 % (9726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64 % (9726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64 % (9726)Termination reason: Unknown
% 1.96/0.64 % (9726)Termination phase: Preprocessing 3
% 1.96/0.64
% 1.96/0.64 % (9726)Memory used [KB]: 1663
% 1.96/0.64 % (9726)Time elapsed: 0.005 s
% 1.96/0.64 % (9726)Instructions burned: 3 (million)
% 1.96/0.64 % (9726)------------------------------
% 1.96/0.64 % (9726)------------------------------
% 1.96/0.64 % (9734)Instruction limit reached!
% 1.96/0.64 % (9734)------------------------------
% 1.96/0.64 % (9734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64 % (9734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64 % (9734)Termination reason: Unknown
% 1.96/0.64 % (9734)Termination phase: Saturation
% 1.96/0.64
% 1.96/0.64 % (9734)Memory used [KB]: 6268
% 1.96/0.64 % (9734)Time elapsed: 0.202 s
% 1.96/0.64 % (9734)Instructions burned: 13 (million)
% 1.96/0.64 % (9734)------------------------------
% 1.96/0.64 % (9734)------------------------------
% 1.96/0.64 % (9738)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)
% 2.15/0.64 % (9738)Instruction limit reached!
% 2.15/0.64 % (9738)------------------------------
% 2.15/0.64 % (9738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64 % (9738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64 % (9738)Termination reason: Unknown
% 2.15/0.64 % (9738)Termination phase: Naming
% 2.15/0.64
% 2.15/0.64 % (9738)Memory used [KB]: 1535
% 2.15/0.64 % (9738)Time elapsed: 0.004 s
% 2.15/0.64 % (9738)Instructions burned: 3 (million)
% 2.15/0.64 % (9738)------------------------------
% 2.15/0.64 % (9738)------------------------------
% 2.15/0.65 % (9746)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)
% 2.15/0.65 % (9729)Instruction limit reached!
% 2.15/0.65 % (9729)------------------------------
% 2.15/0.65 % (9729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65 % (9729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65 % (9729)Termination reason: Unknown
% 2.15/0.65 % (9729)Termination phase: Saturation
% 2.15/0.65
% 2.15/0.65 % (9729)Memory used [KB]: 1663
% 2.15/0.65 % (9729)Time elapsed: 0.205 s
% 2.15/0.65 % (9729)Instructions burned: 15 (million)
% 2.15/0.65 % (9729)------------------------------
% 2.15/0.65 % (9729)------------------------------
% 2.15/0.66 % (9743)Instruction limit reached!
% 2.15/0.66 % (9743)------------------------------
% 2.15/0.66 % (9743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66 % (9743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66 % (9743)Termination reason: Unknown
% 2.15/0.66 % (9743)Termination phase: Saturation
% 2.15/0.66
% 2.15/0.66 % (9743)Memory used [KB]: 6396
% 2.15/0.66 % (9743)Time elapsed: 0.232 s
% 2.15/0.66 % (9743)Instructions burned: 12 (million)
% 2.15/0.66 % (9743)------------------------------
% 2.15/0.66 % (9743)------------------------------
% 2.15/0.66 % (9730)Refutation found. Thanks to Tanya!
% 2.15/0.66 % SZS status Theorem for theBenchmark
% 2.15/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.67 % (9730)------------------------------
% 2.15/0.67 % (9730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67 % (9730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67 % (9730)Termination reason: Refutation
% 2.15/0.67
% 2.15/0.67 % (9730)Memory used [KB]: 6396
% 2.15/0.67 % (9730)Time elapsed: 0.218 s
% 2.15/0.67 % (9730)Instructions burned: 10 (million)
% 2.15/0.67 % (9730)------------------------------
% 2.15/0.67 % (9730)------------------------------
% 2.15/0.67 % (9723)Success in time 0.301 s
%------------------------------------------------------------------------------