TSTP Solution File: SWV027+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV027+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 : n010.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 1.70s 0.60s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 46
% Syntax : Number of formulae : 198 ( 38 unt; 0 def)
% Number of atoms : 1539 ( 287 equ)
% Maximal formula atoms : 68 ( 7 avg)
% Number of connectives : 2173 ( 832 ~; 896 |; 364 &)
% ( 37 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 40 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 29 con; 0-3 aty)
% Number of variables : 103 ( 72 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f818,plain,
$false,
inference(avatar_sat_refutation,[],[f637,f646,f719,f724,f729,f734,f735,f740,f753,f758,f759,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f781,f786,f787,f788,f793,f794,f799,f804,f805,f806,f807,f809,f811,f813,f817]) ).
fof(f817,plain,
( ~ spl40_20
| ~ spl40_24
| spl40_25 ),
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f816,plain,
( $false
| ~ spl40_20
| ~ spl40_24
| spl40_25 ),
inference(subsumption_resolution,[],[f815,f728]) ).
fof(f728,plain,
( leq(sK23,n2)
| ~ spl40_24 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f726,plain,
( spl40_24
<=> leq(sK23,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_24])]) ).
fof(f815,plain,
( ~ leq(sK23,n2)
| ~ spl40_20
| spl40_25 ),
inference(subsumption_resolution,[],[f814,f710]) ).
fof(f710,plain,
( leq(n0,sK23)
| ~ spl40_20 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f708,plain,
( spl40_20
<=> leq(n0,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_20])]) ).
fof(f814,plain,
( ~ leq(n0,sK23)
| ~ leq(sK23,n2)
| spl40_25 ),
inference(resolution,[],[f733,f552]) ).
fof(f552,plain,
! [X0] :
( sQ39_eqProxy(s_sworst7_init,a_select2(s_center7_init,X0))
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(equality_proxy_replacement,[],[f480,f515]) ).
fof(f515,plain,
! [X0,X1] :
( sQ39_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ39_eqProxy])]) ).
fof(f480,plain,
! [X0] :
( s_sworst7_init = a_select2(s_center7_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(definition_unfolding,[],[f359,f356]) ).
fof(f356,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( leq(n0,pv19)
& init = init
& leq(pv1376,n3)
& leq(s_worst7,n3)
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& leq(pv20,minus(n330,n1))
& ! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n3,n1)) )
& init = s_sworst7_init
& init = s_best7_init
& leq(s_best7,n3)
& leq(n0,s_best7)
& leq(s_sworst7,n3)
& ( ~ gt(loopcounter,n1)
| ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& init = s_worst7_init
& leq(pv19,minus(n410,n1))
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n3)
| init = a_select2(s_values7_init,X2) )
& leq(n0,pv20)
& ( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| ( init != a_select2(s_center7_init,sK23)
& leq(n0,sK23)
& leq(sK23,n2) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| init != s_best7_init
| sP2
| ~ leq(n0,s_sworst7) )
& ! [X4] :
( ~ leq(n0,X4)
| ! [X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(n0,X5)
| ~ leq(X5,n3) )
| ~ leq(X4,n2) )
& leq(n0,pv1376) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f232,f233]) ).
fof(f233,plain,
( ? [X3] :
( init != a_select2(s_center7_init,X3)
& leq(n0,X3)
& leq(X3,n2) )
=> ( init != a_select2(s_center7_init,sK23)
& leq(n0,sK23)
& leq(sK23,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
( leq(n0,pv19)
& init = init
& leq(pv1376,n3)
& leq(s_worst7,n3)
& ! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& leq(pv20,minus(n330,n1))
& ! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n3,n1)) )
& init = s_sworst7_init
& init = s_best7_init
& leq(s_best7,n3)
& leq(n0,s_best7)
& leq(s_sworst7,n3)
& ( ~ gt(loopcounter,n1)
| ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& init = s_worst7_init
& leq(pv19,minus(n410,n1))
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n3)
| init = a_select2(s_values7_init,X2) )
& leq(n0,pv20)
& ( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| ? [X3] :
( init != a_select2(s_center7_init,X3)
& leq(n0,X3)
& leq(X3,n2) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| init != s_best7_init
| sP2
| ~ leq(n0,s_sworst7) )
& ! [X4] :
( ~ leq(n0,X4)
| ! [X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(n0,X5)
| ~ leq(X5,n3) )
| ~ leq(X4,n2) )
& leq(n0,pv1376) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
( leq(n0,pv19)
& init = init
& leq(pv1376,n3)
& leq(s_worst7,n3)
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) )
& leq(pv20,minus(n330,n1))
& ! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n3,n1)) )
& init = s_sworst7_init
& init = s_best7_init
& leq(s_best7,n3)
& leq(n0,s_best7)
& leq(s_sworst7,n3)
& ( ~ gt(loopcounter,n1)
| ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& init = s_worst7_init
& leq(pv19,minus(n410,n1))
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n3)
| init = a_select2(s_values7_init,X0) )
& leq(n0,pv20)
& ( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| init != s_best7_init
| sP2
| ~ leq(n0,s_sworst7) )
& ! [X2] :
( ~ leq(n0,X2)
| ! [X3] :
( init = a_select3(simplex7_init,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,n3) )
| ~ leq(X2,n2) )
& leq(n0,pv1376) ),
inference(definition_folding,[],[f147,f190,f189,f188]) ).
fof(f188,plain,
( ? [X5] :
( leq(X5,n2)
& ? [X6] :
( leq(X6,n3)
& init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6) )
& leq(n0,X5) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f189,plain,
( ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select2(s_values7_init,X9) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f190,plain,
( ? [X7] :
( leq(n0,X7)
& init != a_select2(s_try7_init,X7)
& leq(X7,minus(n3,n1)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f147,plain,
( leq(n0,pv19)
& init = init
& leq(pv1376,n3)
& leq(s_worst7,n3)
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) )
& leq(pv20,minus(n330,n1))
& ! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n3,n1)) )
& init = s_sworst7_init
& init = s_best7_init
& leq(s_best7,n3)
& leq(n0,s_best7)
& leq(s_sworst7,n3)
& ( ~ gt(loopcounter,n1)
| ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& init = s_worst7_init
& leq(pv19,minus(n410,n1))
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n3)
| init = a_select2(s_values7_init,X0) )
& leq(n0,pv20)
& ( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| ? [X7] :
( leq(n0,X7)
& init != a_select2(s_try7_init,X7)
& leq(X7,minus(n3,n1)) )
| ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select2(s_values7_init,X9) )
| init != s_best7_init
| ? [X5] :
( leq(X5,n2)
& ? [X6] :
( leq(X6,n3)
& init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6) )
& leq(n0,X5) )
| ~ leq(n0,s_sworst7) )
& ! [X2] :
( ~ leq(n0,X2)
| ! [X3] :
( init = a_select3(simplex7_init,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,n3) )
| ~ leq(X2,n2) )
& leq(n0,pv1376) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
( ( ( gt(loopcounter,n1)
& ( init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init ) )
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_best7)
| ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| init != s_sworst7_init
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| init != s_best7_init
| ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(X5,n2)
& leq(n0,X5) )
| ~ leq(pv20,minus(n330,n1))
| ? [X9] :
( init != a_select2(s_values7_init,X9)
& leq(X9,n3)
& leq(n0,X9) )
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| init != init
| ~ leq(n0,s_sworst7)
| ~ leq(pv1376,n3)
| ? [X7] :
( init != a_select2(s_try7_init,X7)
& leq(n0,X7)
& leq(X7,minus(n3,n1)) )
| init != s_worst7_init
| ~ leq(s_best7,n3) )
& ( ~ gt(loopcounter,n1)
| ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& init = s_worst7_init
& leq(n0,pv1376)
& leq(n0,s_worst7)
& init = init
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& ! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n3,n1)) )
& leq(n0,s_best7)
& leq(s_best7,n3)
& ! [X2] :
( ! [X3] :
( init = a_select3(simplex7_init,X3,X2)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
| ~ leq(n0,X2)
| ~ leq(X2,n2) )
& leq(pv19,minus(n410,n1))
& leq(n0,pv20)
& leq(pv20,minus(n330,n1))
& init = s_best7_init
& leq(n0,s_sworst7)
& init = s_sworst7_init
& ! [X0] :
( init = a_select2(s_values7_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n3) )
& leq(n0,pv19)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(pv1376,n3) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& init = s_worst7_init
& leq(n0,pv1376)
& leq(n0,s_worst7)
& init = init
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X1) )
& leq(n0,s_best7)
& leq(s_best7,n3)
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n2) )
=> ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select3(simplex7_init,X3,X2) ) )
& leq(pv19,minus(n410,n1))
& leq(n0,pv20)
& leq(pv20,minus(n330,n1))
& init = s_best7_init
& leq(n0,s_sworst7)
& init = s_sworst7_init
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n3) )
=> init = a_select2(s_values7_init,X0) )
& leq(n0,pv19)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(pv1376,n3) )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& leq(pv19,minus(n410,n1))
& leq(n0,s_best7)
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,n2) )
=> init = a_select2(s_center7_init,X8) )
& leq(n0,pv19)
& leq(n0,s_worst7)
& init = s_sworst7_init
& leq(n0,pv1376)
& leq(n0,pv20)
& init = s_best7_init
& ! [X5] :
( ( leq(X5,n2)
& leq(n0,X5) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n3) )
=> init = a_select3(simplex7_init,X6,X5) ) )
& leq(pv20,minus(n330,n1))
& ! [X9] :
( ( leq(X9,n3)
& leq(n0,X9) )
=> init = a_select2(s_values7_init,X9) )
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& init = init
& leq(n0,s_sworst7)
& leq(pv1376,n3)
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X7) )
& init = s_worst7_init
& leq(s_best7,n3) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(n0,pv20)
& leq(pv20,minus(n330,n1))
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& leq(n0,s_best7)
& leq(n0,pv19)
& leq(pv19,minus(n410,n1))
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& init = init
& leq(n0,s_worst7)
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& init = s_best7_init
& leq(n0,pv1376)
& init = s_sworst7_init
& init = s_worst7_init
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& leq(pv1376,n3)
& leq(s_best7,n3)
& leq(n0,s_sworst7) )
=> ( leq(n0,s_best7)
& leq(n0,pv20)
& leq(n0,s_worst7)
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(n0,s_sworst7)
& leq(s_worst7,n3)
& leq(pv20,minus(n330,n1))
& init = s_sworst7_init
& init = init
& leq(n0,pv19)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(pv19,minus(n410,n1))
& leq(pv1376,n3)
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ( gt(loopcounter,n1)
=> ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& leq(s_sworst7,n3)
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> init = a_select2(s_values7_init,X28) )
& init = s_best7_init
& init = s_worst7_init ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(n0,pv20)
& leq(pv20,minus(n330,n1))
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& leq(n0,s_best7)
& leq(n0,pv19)
& leq(pv19,minus(n410,n1))
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& init = init
& leq(n0,s_worst7)
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& init = s_best7_init
& leq(n0,pv1376)
& init = s_sworst7_init
& init = s_worst7_init
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& leq(pv1376,n3)
& leq(s_best7,n3)
& leq(n0,s_sworst7) )
=> ( leq(n0,s_best7)
& leq(n0,pv20)
& leq(n0,s_worst7)
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(n0,s_sworst7)
& leq(s_worst7,n3)
& leq(pv20,minus(n330,n1))
& init = s_sworst7_init
& init = init
& leq(n0,pv19)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(pv19,minus(n410,n1))
& leq(pv1376,n3)
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ( gt(loopcounter,n1)
=> ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& leq(s_sworst7,n3)
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(n0,X28)
& leq(X28,n3) )
=> init = a_select2(s_values7_init,X28) )
& init = s_best7_init
& init = s_worst7_init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0021) ).
fof(f359,plain,
! [X0] :
( init = a_select2(s_center7_init,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f234]) ).
fof(f733,plain,
( ~ sQ39_eqProxy(s_sworst7_init,a_select2(s_center7_init,sK23))
| spl40_25 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl40_25
<=> sQ39_eqProxy(s_sworst7_init,a_select2(s_center7_init,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_25])]) ).
fof(f813,plain,
( ~ spl40_35
| ~ spl40_4
| ~ spl40_26
| ~ spl40_23
| spl40_32 ),
inference(avatar_split_clause,[],[f812,f778,f721,f737,f643,f796]) ).
fof(f796,plain,
( spl40_35
<=> leq(n0,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_35])]) ).
fof(f643,plain,
( spl40_4
<=> leq(n0,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f737,plain,
( spl40_26
<=> leq(sK22,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_26])]) ).
fof(f721,plain,
( spl40_23
<=> leq(sK21,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_23])]) ).
fof(f778,plain,
( spl40_32
<=> sQ39_eqProxy(s_sworst7_init,a_select3(simplex7_init,sK22,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_32])]) ).
fof(f812,plain,
( ~ leq(sK21,n2)
| ~ leq(sK22,n3)
| ~ leq(n0,sK22)
| ~ leq(n0,sK21)
| spl40_32 ),
inference(resolution,[],[f566,f780]) ).
fof(f780,plain,
( ~ sQ39_eqProxy(s_sworst7_init,a_select3(simplex7_init,sK22,sK21))
| spl40_32 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f566,plain,
! [X4,X5] :
( sQ39_eqProxy(s_sworst7_init,a_select3(simplex7_init,X5,X4))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| ~ leq(X5,n3)
| ~ leq(X4,n2) ),
inference(equality_proxy_replacement,[],[f494,f515]) ).
fof(f494,plain,
! [X4,X5] :
( ~ leq(n0,X4)
| s_sworst7_init = a_select3(simplex7_init,X5,X4)
| ~ leq(n0,X5)
| ~ leq(X5,n3)
| ~ leq(X4,n2) ),
inference(definition_unfolding,[],[f336,f356]) ).
fof(f336,plain,
! [X4,X5] :
( ~ leq(n0,X4)
| init = a_select3(simplex7_init,X5,X4)
| ~ leq(n0,X5)
| ~ leq(X5,n3)
| ~ leq(X4,n2) ),
inference(cnf_transformation,[],[f234]) ).
fof(f811,plain,
( ~ spl40_1
| ~ spl40_36
| spl40_33 ),
inference(avatar_split_clause,[],[f810,f783,f801,f630]) ).
fof(f630,plain,
( spl40_1
<=> leq(n0,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f801,plain,
( spl40_36
<=> leq(sK19,minus(n3,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_36])]) ).
fof(f783,plain,
( spl40_33
<=> sQ39_eqProxy(s_sworst7_init,a_select2(s_try7_init,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_33])]) ).
fof(f810,plain,
( ~ leq(sK19,minus(n3,n1))
| ~ leq(n0,sK19)
| spl40_33 ),
inference(resolution,[],[f553,f785]) ).
fof(f785,plain,
( ~ sQ39_eqProxy(s_sworst7_init,a_select2(s_try7_init,sK19))
| spl40_33 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f553,plain,
! [X1] :
( sQ39_eqProxy(s_sworst7_init,a_select2(s_try7_init,X1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(equality_proxy_replacement,[],[f481,f515]) ).
fof(f481,plain,
! [X1] :
( s_sworst7_init = a_select2(s_try7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n3,n1)) ),
inference(definition_unfolding,[],[f357,f356]) ).
fof(f357,plain,
! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(n3,n1)) ),
inference(cnf_transformation,[],[f234]) ).
fof(f809,plain,
( ~ spl40_30
| ~ spl40_31
| spl40_34 ),
inference(avatar_split_clause,[],[f808,f790,f761,f755]) ).
fof(f755,plain,
( spl40_30
<=> leq(sK20,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_30])]) ).
fof(f761,plain,
( spl40_31
<=> leq(n0,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_31])]) ).
fof(f790,plain,
( spl40_34
<=> sQ39_eqProxy(s_sworst7_init,a_select2(s_values7_init,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_34])]) ).
fof(f808,plain,
( ~ leq(n0,sK20)
| ~ leq(sK20,n3)
| spl40_34 ),
inference(resolution,[],[f559,f792]) ).
fof(f792,plain,
( ~ sQ39_eqProxy(s_sworst7_init,a_select2(s_values7_init,sK20))
| spl40_34 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f559,plain,
! [X2] :
( sQ39_eqProxy(s_sworst7_init,a_select2(s_values7_init,X2))
| ~ leq(n0,X2)
| ~ leq(X2,n3) ),
inference(equality_proxy_replacement,[],[f487,f515]) ).
fof(f487,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n3)
| s_sworst7_init = a_select2(s_values7_init,X2) ),
inference(definition_unfolding,[],[f344,f356]) ).
fof(f344,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n3)
| init = a_select2(s_values7_init,X2) ),
inference(cnf_transformation,[],[f234]) ).
fof(f807,plain,
spl40_14,
inference(avatar_split_clause,[],[f358,f684]) ).
fof(f684,plain,
( spl40_14
<=> leq(pv20,minus(n330,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_14])]) ).
fof(f358,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f234]) ).
fof(f806,plain,
spl40_13,
inference(avatar_split_clause,[],[f551,f680]) ).
fof(f680,plain,
( spl40_13
<=> sQ39_eqProxy(s_sworst7_init,s_sworst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_13])]) ).
fof(f551,plain,
sQ39_eqProxy(s_sworst7_init,s_sworst7_init),
inference(equality_proxy_replacement,[],[f479,f515]) ).
fof(f479,plain,
s_sworst7_init = s_sworst7_init,
inference(definition_unfolding,[],[f362,f356,f356]) ).
fof(f362,plain,
init = init,
inference(cnf_transformation,[],[f234]) ).
fof(f805,plain,
spl40_5,
inference(avatar_split_clause,[],[f353,f648]) ).
fof(f648,plain,
( spl40_5
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f353,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f234]) ).
fof(f804,plain,
( spl40_36
| ~ spl40_2 ),
inference(avatar_split_clause,[],[f324,f634,f801]) ).
fof(f634,plain,
( spl40_2
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).
fof(f324,plain,
( ~ sP4
| leq(sK19,minus(n3,n1)) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ( leq(n0,sK19)
& init != a_select2(s_try7_init,sK19)
& leq(sK19,minus(n3,n1)) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f220,f221]) ).
fof(f221,plain,
( ? [X0] :
( leq(n0,X0)
& init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1)) )
=> ( leq(n0,sK19)
& init != a_select2(s_try7_init,sK19)
& leq(sK19,minus(n3,n1)) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
( ? [X0] :
( leq(n0,X0)
& init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1)) )
| ~ sP4 ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
( ? [X7] :
( leq(n0,X7)
& init != a_select2(s_try7_init,X7)
& leq(X7,minus(n3,n1)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f190]) ).
fof(f799,plain,
( spl40_35
| ~ spl40_3 ),
inference(avatar_split_clause,[],[f330,f639,f796]) ).
fof(f639,plain,
( spl40_3
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f330,plain,
( ~ sP2
| leq(n0,sK21) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ( leq(sK21,n2)
& leq(sK22,n3)
& init != a_select3(simplex7_init,sK22,sK21)
& leq(n0,sK22)
& leq(n0,sK21) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f228,f230,f229]) ).
fof(f229,plain,
( ? [X0] :
( leq(X0,n2)
& ? [X1] :
( leq(X1,n3)
& init != a_select3(simplex7_init,X1,X0)
& leq(n0,X1) )
& leq(n0,X0) )
=> ( leq(sK21,n2)
& ? [X1] :
( leq(X1,n3)
& init != a_select3(simplex7_init,X1,sK21)
& leq(n0,X1) )
& leq(n0,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
( ? [X1] :
( leq(X1,n3)
& init != a_select3(simplex7_init,X1,sK21)
& leq(n0,X1) )
=> ( leq(sK22,n3)
& init != a_select3(simplex7_init,sK22,sK21)
& leq(n0,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( ? [X0] :
( leq(X0,n2)
& ? [X1] :
( leq(X1,n3)
& init != a_select3(simplex7_init,X1,X0)
& leq(n0,X1) )
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f227]) ).
fof(f227,plain,
( ? [X5] :
( leq(X5,n2)
& ? [X6] :
( leq(X6,n3)
& init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6) )
& leq(n0,X5) )
| ~ sP2 ),
inference(nnf_transformation,[],[f188]) ).
fof(f794,plain,
spl40_17,
inference(avatar_split_clause,[],[f347,f696]) ).
fof(f696,plain,
( spl40_17
<=> leq(pv19,minus(n410,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_17])]) ).
fof(f347,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f234]) ).
fof(f793,plain,
( ~ spl40_34
| ~ spl40_10 ),
inference(avatar_split_clause,[],[f549,f668,f790]) ).
fof(f668,plain,
( spl40_10
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_10])]) ).
fof(f549,plain,
( ~ sP3
| ~ sQ39_eqProxy(s_sworst7_init,a_select2(s_values7_init,sK20)) ),
inference(equality_proxy_replacement,[],[f477,f515]) ).
fof(f477,plain,
( s_sworst7_init != a_select2(s_values7_init,sK20)
| ~ sP3 ),
inference(definition_unfolding,[],[f327,f356]) ).
fof(f327,plain,
( init != a_select2(s_values7_init,sK20)
| ~ sP3 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ( leq(sK20,n3)
& leq(n0,sK20)
& init != a_select2(s_values7_init,sK20) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f224,f225]) ).
fof(f225,plain,
( ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(s_values7_init,X0) )
=> ( leq(sK20,n3)
& leq(n0,sK20)
& init != a_select2(s_values7_init,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
( ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(s_values7_init,X0) )
| ~ sP3 ),
inference(rectify,[],[f223]) ).
fof(f223,plain,
( ? [X9] :
( leq(X9,n3)
& leq(n0,X9)
& init != a_select2(s_values7_init,X9) )
| ~ sP3 ),
inference(nnf_transformation,[],[f189]) ).
fof(f788,plain,
( ~ spl40_6
| spl40_27 ),
inference(avatar_split_clause,[],[f557,f742,f652]) ).
fof(f652,plain,
( spl40_6
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_6])]) ).
fof(f742,plain,
( spl40_27
<=> sQ39_eqProxy(s_sworst7_init,pvar1402_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_27])]) ).
fof(f557,plain,
( sQ39_eqProxy(s_sworst7_init,pvar1402_init)
| ~ gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f485,f515]) ).
fof(f485,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1402_init ),
inference(definition_unfolding,[],[f349,f356]) ).
fof(f349,plain,
( ~ gt(loopcounter,n1)
| init = pvar1402_init ),
inference(cnf_transformation,[],[f234]) ).
fof(f787,plain,
spl40_15,
inference(avatar_split_clause,[],[f343,f688]) ).
fof(f688,plain,
( spl40_15
<=> leq(n0,pv20) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_15])]) ).
fof(f343,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f234]) ).
fof(f786,plain,
( ~ spl40_33
| ~ spl40_2 ),
inference(avatar_split_clause,[],[f548,f634,f783]) ).
fof(f548,plain,
( ~ sP4
| ~ sQ39_eqProxy(s_sworst7_init,a_select2(s_try7_init,sK19)) ),
inference(equality_proxy_replacement,[],[f476,f515]) ).
fof(f476,plain,
( s_sworst7_init != a_select2(s_try7_init,sK19)
| ~ sP4 ),
inference(definition_unfolding,[],[f325,f356]) ).
fof(f325,plain,
( init != a_select2(s_try7_init,sK19)
| ~ sP4 ),
inference(cnf_transformation,[],[f222]) ).
fof(f781,plain,
( ~ spl40_32
| ~ spl40_3 ),
inference(avatar_split_clause,[],[f550,f639,f778]) ).
fof(f550,plain,
( ~ sP2
| ~ sQ39_eqProxy(s_sworst7_init,a_select3(simplex7_init,sK22,sK21)) ),
inference(equality_proxy_replacement,[],[f478,f515]) ).
fof(f478,plain,
( s_sworst7_init != a_select3(simplex7_init,sK22,sK21)
| ~ sP2 ),
inference(definition_unfolding,[],[f332,f356]) ).
fof(f332,plain,
( init != a_select3(simplex7_init,sK22,sK21)
| ~ sP2 ),
inference(cnf_transformation,[],[f231]) ).
fof(f776,plain,
( spl40_28
| ~ spl40_6 ),
inference(avatar_split_clause,[],[f556,f652,f746]) ).
fof(f746,plain,
( spl40_28
<=> sQ39_eqProxy(s_sworst7_init,pvar1400_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_28])]) ).
fof(f556,plain,
( ~ gt(loopcounter,n1)
| sQ39_eqProxy(s_sworst7_init,pvar1400_init) ),
inference(equality_proxy_replacement,[],[f484,f515]) ).
fof(f484,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1400_init ),
inference(definition_unfolding,[],[f350,f356]) ).
fof(f350,plain,
( ~ gt(loopcounter,n1)
| init = pvar1400_init ),
inference(cnf_transformation,[],[f234]) ).
fof(f775,plain,
spl40_8,
inference(avatar_split_clause,[],[f360,f660]) ).
fof(f660,plain,
( spl40_8
<=> leq(s_worst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_8])]) ).
fof(f360,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f234]) ).
fof(f774,plain,
spl40_9,
inference(avatar_split_clause,[],[f363,f664]) ).
fof(f664,plain,
( spl40_9
<=> leq(n0,pv19) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_9])]) ).
fof(f363,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f234]) ).
fof(f773,plain,
spl40_19,
inference(avatar_split_clause,[],[f345,f704]) ).
fof(f704,plain,
( spl40_19
<=> leq(n0,s_worst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_19])]) ).
fof(f345,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f234]) ).
fof(f772,plain,
spl40_12,
inference(avatar_split_clause,[],[f554,f676]) ).
fof(f676,plain,
( spl40_12
<=> sQ39_eqProxy(s_best7_init,s_sworst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_12])]) ).
fof(f554,plain,
sQ39_eqProxy(s_best7_init,s_sworst7_init),
inference(equality_proxy_replacement,[],[f482,f515]) ).
fof(f482,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f355,f356]) ).
fof(f355,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f234]) ).
fof(f771,plain,
( spl40_20
| ~ spl40_29
| ~ spl40_21
| ~ spl40_18
| spl40_2
| ~ spl40_19
| ~ spl40_15
| ~ spl40_9
| ~ spl40_5
| ~ spl40_8
| ~ spl40_17
| ~ spl40_13
| ~ spl40_7
| ~ spl40_28
| ~ spl40_27
| ~ spl40_14
| spl40_10
| spl40_3
| ~ spl40_11
| ~ spl40_16
| ~ spl40_12
| ~ spl40_22 ),
inference(avatar_split_clause,[],[f623,f716,f676,f692,f672,f639,f668,f684,f742,f746,f656,f680,f696,f660,f648,f664,f688,f704,f634,f700,f712,f750,f708]) ).
fof(f750,plain,
( spl40_29
<=> sQ39_eqProxy(s_sworst7_init,pvar1401_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_29])]) ).
fof(f712,plain,
( spl40_21
<=> leq(pv1376,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_21])]) ).
fof(f700,plain,
( spl40_18
<=> leq(n0,s_sworst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_18])]) ).
fof(f656,plain,
( spl40_7
<=> leq(s_sworst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_7])]) ).
fof(f672,plain,
( spl40_11
<=> sQ39_eqProxy(s_sworst7_init,s_worst7_init) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_11])]) ).
fof(f692,plain,
( spl40_16
<=> leq(n0,pv1376) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_16])]) ).
fof(f716,plain,
( spl40_22
<=> leq(s_best7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_22])]) ).
fof(f623,plain,
( ~ leq(s_best7,n3)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ leq(n0,pv1376)
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| sP2
| sP3
| ~ leq(pv20,minus(n330,n1))
| ~ sQ39_eqProxy(s_sworst7_init,pvar1402_init)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1400_init)
| ~ leq(s_sworst7,n3)
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| sP4
| ~ leq(n0,s_sworst7)
| ~ leq(pv1376,n3)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1401_init)
| leq(n0,sK23) ),
inference(duplicate_literal_removal,[],[f563]) ).
fof(f563,plain,
( ~ leq(s_worst7,n3)
| sP2
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ sQ39_eqProxy(s_sworst7_init,pvar1401_init)
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| ~ leq(s_sworst7,n3)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1400_init)
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(pv19,minus(n410,n1))
| leq(n0,sK23)
| sP3
| ~ leq(n0,s_best7)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(pv1376,n3)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1402_init)
| ~ leq(n0,s_sworst7)
| sP4 ),
inference(equality_proxy_replacement,[],[f491,f515,f515,f515,f515,f515,f515,f515]) ).
fof(f491,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| leq(n0,sK23)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1402_init
| s_sworst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| s_sworst7_init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| s_best7_init != s_sworst7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(definition_unfolding,[],[f339,f356,f356,f356,f356,f356,f356,f356,f356]) ).
fof(f339,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| leq(n0,sK23)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| init != s_best7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f234]) ).
fof(f770,plain,
spl40_16,
inference(avatar_split_clause,[],[f335,f692]) ).
fof(f335,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f234]) ).
fof(f769,plain,
spl40_7,
inference(avatar_split_clause,[],[f352,f656]) ).
fof(f352,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f234]) ).
fof(f768,plain,
spl40_18,
inference(avatar_split_clause,[],[f346,f700]) ).
fof(f346,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f234]) ).
fof(f767,plain,
( ~ spl40_5
| ~ spl40_25
| ~ spl40_12
| ~ spl40_15
| ~ spl40_22
| ~ spl40_27
| ~ spl40_7
| ~ spl40_16
| ~ spl40_18
| ~ spl40_28
| ~ spl40_21
| ~ spl40_14
| spl40_3
| spl40_2
| ~ spl40_8
| ~ spl40_13
| spl40_10
| ~ spl40_17
| ~ spl40_19
| ~ spl40_9
| ~ spl40_29
| ~ spl40_11 ),
inference(avatar_split_clause,[],[f624,f672,f750,f664,f704,f696,f668,f680,f660,f634,f639,f684,f712,f746,f700,f692,f656,f742,f716,f688,f676,f731,f648]) ).
fof(f624,plain,
( ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1401_init)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(pv19,minus(n410,n1))
| sP3
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(s_worst7,n3)
| sP4
| sP2
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1400_init)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv1376)
| ~ leq(s_sworst7,n3)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1402_init)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ sQ39_eqProxy(s_sworst7_init,a_select2(s_center7_init,sK23))
| ~ leq(n0,s_best7) ),
inference(duplicate_literal_removal,[],[f561]) ).
fof(f561,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(pv1376,n3)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1401_init)
| ~ leq(pv19,minus(n410,n1))
| sP3
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv1376)
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| sP4
| sP2
| ~ sQ39_eqProxy(s_sworst7_init,a_select2(s_center7_init,sK23))
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1400_init)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| ~ leq(n0,pv20)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1402_init) ),
inference(equality_proxy_replacement,[],[f489,f515,f515,f515,f515,f515,f515,f515,f515]) ).
fof(f489,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| s_sworst7_init != a_select2(s_center7_init,sK23)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1402_init
| s_sworst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| s_sworst7_init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| s_best7_init != s_sworst7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(definition_unfolding,[],[f341,f356,f356,f356,f356,f356,f356,f356,f356,f356]) ).
fof(f341,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| init != a_select2(s_center7_init,sK23)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| init != s_best7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f234]) ).
fof(f766,plain,
( spl40_29
| ~ spl40_6 ),
inference(avatar_split_clause,[],[f555,f652,f750]) ).
fof(f555,plain,
( ~ gt(loopcounter,n1)
| sQ39_eqProxy(s_sworst7_init,pvar1401_init) ),
inference(equality_proxy_replacement,[],[f483,f515]) ).
fof(f483,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1401_init ),
inference(definition_unfolding,[],[f351,f356]) ).
fof(f351,plain,
( ~ gt(loopcounter,n1)
| init = pvar1401_init ),
inference(cnf_transformation,[],[f234]) ).
fof(f765,plain,
spl40_11,
inference(avatar_split_clause,[],[f558,f672]) ).
fof(f558,plain,
sQ39_eqProxy(s_sworst7_init,s_worst7_init),
inference(equality_proxy_replacement,[],[f486,f515]) ).
fof(f486,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f348,f356]) ).
fof(f348,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f234]) ).
fof(f764,plain,
( spl40_31
| ~ spl40_10 ),
inference(avatar_split_clause,[],[f328,f668,f761]) ).
fof(f328,plain,
( ~ sP3
| leq(n0,sK20) ),
inference(cnf_transformation,[],[f226]) ).
fof(f759,plain,
spl40_22,
inference(avatar_split_clause,[],[f354,f716]) ).
fof(f354,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f234]) ).
fof(f758,plain,
( ~ spl40_10
| spl40_30 ),
inference(avatar_split_clause,[],[f329,f755,f668]) ).
fof(f329,plain,
( leq(sK20,n3)
| ~ sP3 ),
inference(cnf_transformation,[],[f226]) ).
fof(f753,plain,
( ~ spl40_27
| ~ spl40_28
| ~ spl40_7
| ~ spl40_18
| ~ spl40_8
| ~ spl40_16
| ~ spl40_14
| ~ spl40_12
| ~ spl40_11
| spl40_10
| spl40_24
| ~ spl40_21
| ~ spl40_17
| ~ spl40_13
| spl40_2
| ~ spl40_22
| ~ spl40_19
| ~ spl40_15
| ~ spl40_29
| ~ spl40_5
| ~ spl40_9
| spl40_3 ),
inference(avatar_split_clause,[],[f625,f639,f664,f648,f750,f688,f704,f716,f634,f680,f696,f712,f726,f668,f672,f676,f684,f692,f660,f700,f656,f746,f742]) ).
fof(f625,plain,
( sP2
| ~ leq(n0,pv19)
| ~ leq(n0,s_best7)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1401_init)
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| sP4
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| leq(sK23,n2)
| sP3
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv1376)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_sworst7)
| ~ leq(s_sworst7,n3)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1400_init)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1402_init) ),
inference(duplicate_literal_removal,[],[f565]) ).
fof(f565,plain,
( ~ leq(s_worst7,n3)
| sP3
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv1376)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,s_worst7)
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(s_sworst7,n3)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| sP4
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| ~ leq(s_best7,n3)
| ~ leq(pv1376,n3)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1402_init)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1400_init)
| sP2
| leq(sK23,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,pv20)
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ sQ39_eqProxy(s_sworst7_init,pvar1401_init)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19) ),
inference(equality_proxy_replacement,[],[f493,f515,f515,f515,f515,f515,f515,f515]) ).
fof(f493,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| leq(sK23,n2)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1402_init
| s_sworst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| s_sworst7_init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| s_best7_init != s_sworst7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(definition_unfolding,[],[f337,f356,f356,f356,f356,f356,f356,f356,f356]) ).
fof(f337,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| leq(sK23,n2)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| init != pvar1401_init
| init != pvar1400_init
| init != pvar1402_init
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| init != s_best7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f234]) ).
fof(f740,plain,
( spl40_26
| ~ spl40_3 ),
inference(avatar_split_clause,[],[f333,f639,f737]) ).
fof(f333,plain,
( ~ sP2
| leq(sK22,n3) ),
inference(cnf_transformation,[],[f231]) ).
fof(f735,plain,
spl40_21,
inference(avatar_split_clause,[],[f361,f712]) ).
fof(f361,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f234]) ).
fof(f734,plain,
( spl40_6
| ~ spl40_19
| ~ spl40_15
| ~ spl40_7
| ~ spl40_11
| ~ spl40_18
| ~ spl40_5
| spl40_2
| ~ spl40_25
| spl40_3
| spl40_10
| ~ spl40_21
| ~ spl40_16
| ~ spl40_17
| ~ spl40_12
| ~ spl40_22
| ~ spl40_14
| ~ spl40_9
| ~ spl40_8
| ~ spl40_13 ),
inference(avatar_split_clause,[],[f626,f680,f660,f664,f684,f716,f676,f696,f692,f712,f668,f639,f731,f634,f648,f700,f672,f656,f688,f704,f652]) ).
fof(f626,plain,
( ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(s_worst7,n3)
| ~ leq(n0,pv19)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(s_best7,n3)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(pv1376,n3)
| sP3
| sP2
| ~ sQ39_eqProxy(s_sworst7_init,a_select2(s_center7_init,sK23))
| sP4
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f560]) ).
fof(f560,plain,
( ~ leq(s_worst7,n3)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ leq(n0,pv19)
| ~ leq(s_sworst7,n3)
| sP2
| ~ leq(n0,s_best7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv20)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ sQ39_eqProxy(s_sworst7_init,a_select2(s_center7_init,sK23))
| ~ leq(n0,pv1376)
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| gt(loopcounter,n1)
| ~ leq(n0,s_sworst7)
| sP4
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| sP3 ),
inference(equality_proxy_replacement,[],[f488,f515,f515,f515,f515,f515]) ).
fof(f488,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| s_sworst7_init != a_select2(s_center7_init,sK23)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| gt(loopcounter,n1)
| s_sworst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| s_sworst7_init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| s_best7_init != s_sworst7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(definition_unfolding,[],[f342,f356,f356,f356,f356,f356,f356]) ).
fof(f342,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| init != a_select2(s_center7_init,sK23)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| gt(loopcounter,n1)
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| init != s_best7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f234]) ).
fof(f729,plain,
( ~ spl40_5
| spl40_3
| ~ spl40_7
| ~ spl40_19
| ~ spl40_12
| ~ spl40_8
| ~ spl40_9
| ~ spl40_15
| spl40_2
| ~ spl40_17
| ~ spl40_11
| ~ spl40_22
| ~ spl40_18
| spl40_6
| ~ spl40_13
| ~ spl40_21
| spl40_10
| ~ spl40_14
| spl40_24
| ~ spl40_16 ),
inference(avatar_split_clause,[],[f627,f692,f726,f684,f668,f712,f680,f652,f700,f716,f672,f696,f634,f688,f664,f660,f676,f704,f656,f639,f648]) ).
fof(f627,plain,
( ~ leq(n0,pv1376)
| leq(sK23,n2)
| ~ leq(pv20,minus(n330,n1))
| sP3
| ~ leq(pv1376,n3)
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| gt(loopcounter,n1)
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| ~ leq(pv19,minus(n410,n1))
| sP4
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ leq(n0,s_worst7)
| ~ leq(s_sworst7,n3)
| sP2
| ~ leq(n0,s_best7) ),
inference(duplicate_literal_removal,[],[f564]) ).
fof(f564,plain,
( ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| leq(sK23,n2)
| ~ leq(n0,s_sworst7)
| ~ leq(pv1376,n3)
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| sP3
| ~ leq(s_worst7,n3)
| sP4
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| ~ leq(n0,pv20)
| ~ leq(n0,s_worst7)
| sP2
| ~ leq(s_sworst7,n3)
| ~ leq(pv19,minus(n410,n1))
| gt(loopcounter,n1)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_best7)
| ~ leq(pv20,minus(n330,n1))
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(n0,pv1376) ),
inference(equality_proxy_replacement,[],[f492,f515,f515,f515,f515]) ).
fof(f492,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| leq(sK23,n2)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| gt(loopcounter,n1)
| s_sworst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| s_sworst7_init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| s_best7_init != s_sworst7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(definition_unfolding,[],[f338,f356,f356,f356,f356,f356]) ).
fof(f338,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| leq(sK23,n2)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| gt(loopcounter,n1)
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| init != s_best7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f234]) ).
fof(f724,plain,
( ~ spl40_3
| spl40_23 ),
inference(avatar_split_clause,[],[f334,f721,f639]) ).
fof(f334,plain,
( leq(sK21,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f231]) ).
fof(f719,plain,
( ~ spl40_5
| spl40_2
| spl40_6
| ~ spl40_7
| ~ spl40_8
| ~ spl40_9
| spl40_10
| ~ spl40_11
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| spl40_20
| ~ spl40_21
| ~ spl40_22
| spl40_3 ),
inference(avatar_split_clause,[],[f628,f639,f716,f712,f708,f704,f700,f696,f692,f688,f684,f680,f676,f672,f668,f664,f660,f656,f652,f634,f648]) ).
fof(f628,plain,
( sP2
| ~ leq(s_best7,n3)
| ~ leq(pv1376,n3)
| leq(n0,sK23)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(pv20,minus(n330,n1))
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| sP3
| ~ leq(n0,pv19)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| gt(loopcounter,n1)
| sP4
| ~ leq(n0,s_best7) ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f562,plain,
( leq(n0,sK23)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| ~ sQ39_eqProxy(s_sworst7_init,s_worst7_init)
| ~ sQ39_eqProxy(s_best7_init,s_sworst7_init)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,pv19)
| ~ leq(s_sworst7,n3)
| sP4
| ~ leq(n0,pv1376)
| sP3
| ~ leq(s_best7,n3)
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| ~ leq(pv1376,n3)
| sP2
| ~ sQ39_eqProxy(s_sworst7_init,s_sworst7_init)
| ~ leq(n0,pv20)
| gt(loopcounter,n1) ),
inference(equality_proxy_replacement,[],[f490,f515,f515,f515,f515]) ).
fof(f490,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| leq(n0,sK23)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| s_sworst7_init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| gt(loopcounter,n1)
| s_sworst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| s_sworst7_init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| s_best7_init != s_sworst7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(definition_unfolding,[],[f340,f356,f356,f356,f356,f356]) ).
fof(f340,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| leq(n0,sK23)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| sP4
| gt(loopcounter,n1)
| init != init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv1376,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| init != s_worst7_init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,s_worst7)
| sP3
| init != s_best7_init
| sP2
| ~ leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f234]) ).
fof(f646,plain,
( ~ spl40_3
| spl40_4 ),
inference(avatar_split_clause,[],[f331,f643,f639]) ).
fof(f331,plain,
( leq(n0,sK22)
| ~ sP2 ),
inference(cnf_transformation,[],[f231]) ).
fof(f637,plain,
( spl40_1
| ~ spl40_2 ),
inference(avatar_split_clause,[],[f326,f634,f630]) ).
fof(f326,plain,
( ~ sP4
| leq(n0,sK19) ),
inference(cnf_transformation,[],[f222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV027+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % 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 : n010.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 18:49:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (5591)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)
% 0.20/0.56 % (5591)Instruction limit reached!
% 0.20/0.56 % (5591)------------------------------
% 0.20/0.56 % (5591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5591)Termination reason: Unknown
% 0.20/0.56 % (5591)Termination phase: Preprocessing 3
% 0.20/0.56
% 0.20/0.56 % (5591)Memory used [KB]: 1663
% 0.20/0.56 % (5591)Time elapsed: 0.004 s
% 0.20/0.56 % (5591)Instructions burned: 3 (million)
% 0.20/0.56 % (5591)------------------------------
% 0.20/0.56 % (5591)------------------------------
% 0.20/0.56 % (5612)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)
% 0.20/0.56 % (5604)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)
% 0.20/0.56 % (5613)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)
% 0.20/0.57 % (5595)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)
% 0.20/0.57 % (5600)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)
% 0.20/0.57 % (5600)Instruction limit reached!
% 0.20/0.57 % (5600)------------------------------
% 0.20/0.57 % (5600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5599)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)
% 0.20/0.58 % (5592)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)
% 0.20/0.58 % (5594)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)
% 0.20/0.58 % (5604)Instruction limit reached!
% 0.20/0.58 % (5604)------------------------------
% 0.20/0.58 % (5604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (5600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (5600)Termination reason: Unknown
% 0.20/0.58 % (5600)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (5600)Memory used [KB]: 6140
% 0.20/0.58 % (5600)Time elapsed: 0.007 s
% 0.20/0.58 % (5604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (5600)Instructions burned: 7 (million)
% 0.20/0.58 % (5604)Termination reason: Unknown
% 0.20/0.58 % (5600)------------------------------
% 0.20/0.58 % (5600)------------------------------
% 0.20/0.58 % (5604)Termination phase: Function definition elimination
% 0.20/0.58
% 0.20/0.58 % (5604)Memory used [KB]: 1663
% 0.20/0.58 % (5604)Time elapsed: 0.007 s
% 0.20/0.58 % (5604)Instructions burned: 8 (million)
% 0.20/0.58 % (5604)------------------------------
% 0.20/0.58 % (5604)------------------------------
% 0.20/0.58 % (5613)First to succeed.
% 1.70/0.59 % (5618)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)
% 1.70/0.59 % (5593)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)
% 1.70/0.60 % (5599)Instruction limit reached!
% 1.70/0.60 % (5599)------------------------------
% 1.70/0.60 % (5599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60 % (5599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60 % (5599)Termination reason: Unknown
% 1.70/0.60 % (5599)Termination phase: Saturation
% 1.70/0.60 % (5613)Refutation found. Thanks to Tanya!
% 1.70/0.60 % SZS status Theorem for theBenchmark
% 1.70/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.60 % (5613)------------------------------
% 1.70/0.60 % (5613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60 % (5613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60 % (5613)Termination reason: Refutation
% 1.70/0.60
% 1.70/0.60 % (5613)Memory used [KB]: 6396
% 1.70/0.60 % (5613)Time elapsed: 0.171 s
% 1.70/0.60 % (5613)Instructions burned: 17 (million)
% 1.70/0.60 % (5613)------------------------------
% 1.70/0.60 % (5613)------------------------------
% 1.70/0.60 % (5588)Success in time 0.25 s
%------------------------------------------------------------------------------