TSTP Solution File: SWV034+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV034+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n020.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 : Thu Aug 31 23:07:16 EDT 2023
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 31
% Syntax : Number of formulae : 147 ( 32 unt; 0 def)
% Number of atoms : 1182 ( 313 equ)
% Maximal formula atoms : 59 ( 8 avg)
% Number of connectives : 1649 ( 614 ~; 658 |; 312 &)
% ( 21 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 25 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 26 con; 0-3 aty)
% Number of variables : 94 (; 63 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1061,plain,
$false,
inference(avatar_sat_refutation,[],[f510,f517,f523,f529,f532,f534,f535,f536,f537,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f550,f886,f915,f1056,f1059]) ).
fof(f1059,plain,
~ spl39_12,
inference(avatar_split_clause,[],[f1058,f483]) ).
fof(f483,plain,
( spl39_12
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl39_12])]) ).
fof(f1058,plain,
~ sP1,
inference(subsumption_resolution,[],[f1057,f247]) ).
fof(f247,plain,
( leq(n0,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( init != a_select2(s_values7_init,sK8)
& leq(sK8,n3)
& leq(n0,sK8) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f186,f187]) ).
fof(f187,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
=> ( init != a_select2(s_values7_init,sK8)
& leq(sK8,n3)
& leq(n0,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
( ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP1 ),
inference(nnf_transformation,[],[f171]) ).
fof(f171,plain,
( ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1057,plain,
( ~ sP1
| ~ leq(n0,sK8) ),
inference(subsumption_resolution,[],[f868,f248]) ).
fof(f248,plain,
( leq(sK8,n3)
| ~ sP1 ),
inference(cnf_transformation,[],[f188]) ).
fof(f868,plain,
( ~ sP1
| ~ leq(sK8,n3)
| ~ leq(n0,sK8) ),
inference(trivial_inequality_removal,[],[f866]) ).
fof(f866,plain,
( init != init
| ~ sP1
| ~ leq(sK8,n3)
| ~ leq(n0,sK8) ),
inference(superposition,[],[f249,f267]) ).
fof(f267,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ( init != a_select2(s_try7_init,sK11)
& leq(sK11,minus(n3,n1))
& leq(n0,sK11) )
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_center7_init,X2)
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5) )
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f194,f195]) ).
fof(f195,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> ( init != a_select2(s_try7_init,sK11)
& leq(sK11,minus(n3,n1))
& leq(n0,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_center7_init,X2)
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5) )
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(definition_folding,[],[f117,f172,f171,f170]) ).
fof(f170,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f172,plain,
( ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f117,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X0] :
( ( leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> init = a_select2(s_try7_init,X0) )
& ! [X1] :
( ( leq(X1,n2)
& leq(n0,X1) )
=> init = a_select2(s_center7_init,X1) )
& ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> init = a_select2(s_values7_init,X2) )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> init = a_select3(simplex7_init,X4,X3) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X5] :
( ( leq(X5,minus(n3,n1))
& leq(n0,X5) )
=> init = a_select2(s_try7_init,X5) )
& ! [X6] :
( ( leq(X6,n2)
& leq(n0,X6) )
=> init = a_select2(s_center7_init,X6) )
& ! [X7] :
( ( leq(X7,n3)
& leq(n0,X7) )
=> init = a_select2(s_values7_init,X7) )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,n3)
& leq(n0,X9) )
=> init = a_select3(simplex7_init,X9,X8) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init
& init = init ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init
& init = init ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init
& init = init ) ),
file('/export/starexec/sandbox/tmp/tmp.fv4R0Bklj5/Vampire---4.8_12753',gauss_init_0049) ).
fof(f249,plain,
( init != a_select2(s_values7_init,sK8)
| ~ sP1 ),
inference(cnf_transformation,[],[f188]) ).
fof(f1056,plain,
( ~ spl39_1
| spl39_14
| ~ spl39_19
| ~ spl39_20 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1055,plain,
( $false
| ~ spl39_1
| spl39_14
| ~ spl39_19
| ~ spl39_20 ),
inference(subsumption_resolution,[],[f1054,f522]) ).
fof(f522,plain,
( leq(n0,sK11)
| ~ spl39_20 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f520,plain,
( spl39_20
<=> leq(n0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_20])]) ).
fof(f1054,plain,
( ~ leq(n0,sK11)
| ~ spl39_1
| spl39_14
| ~ spl39_19 ),
inference(subsumption_resolution,[],[f1053,f516]) ).
fof(f516,plain,
( leq(sK11,pred(n3))
| ~ spl39_19 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f514,plain,
( spl39_19
<=> leq(sK11,pred(n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_19])]) ).
fof(f1053,plain,
( ~ leq(sK11,pred(n3))
| ~ leq(n0,sK11)
| ~ spl39_1
| spl39_14 ),
inference(subsumption_resolution,[],[f1052,f440]) ).
fof(f440,plain,
( s_best7_init = init
| ~ spl39_1 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl39_1
<=> s_best7_init = init ),
introduced(avatar_definition,[new_symbols(naming,[spl39_1])]) ).
fof(f1052,plain,
( s_best7_init != init
| ~ leq(sK11,pred(n3))
| ~ leq(n0,sK11)
| ~ spl39_1
| spl39_14 ),
inference(superposition,[],[f969,f538]) ).
fof(f538,plain,
! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(X1,pred(n3))
| ~ leq(n0,X1) ),
inference(forward_demodulation,[],[f269,f322]) ).
fof(f322,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/tmp/tmp.fv4R0Bklj5/Vampire---4.8_12753',pred_minus_1) ).
fof(f269,plain,
! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f969,plain,
( s_best7_init != a_select2(s_try7_init,sK11)
| ~ spl39_1
| spl39_14 ),
inference(forward_demodulation,[],[f493,f440]) ).
fof(f493,plain,
( init != a_select2(s_try7_init,sK11)
| spl39_14 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl39_14
<=> init = a_select2(s_try7_init,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_14])]) ).
fof(f915,plain,
~ spl39_11,
inference(avatar_split_clause,[],[f914,f479]) ).
fof(f479,plain,
( spl39_11
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl39_11])]) ).
fof(f914,plain,
~ sP0,
inference(subsumption_resolution,[],[f913,f250]) ).
fof(f250,plain,
( leq(n0,sK9)
| ~ sP0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( init != a_select3(simplex7_init,sK10,sK9)
& leq(sK10,n3)
& leq(n0,sK10)
& leq(sK9,n2)
& leq(n0,sK9) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f190,f192,f191]) ).
fof(f191,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
=> ( ? [X1] :
( init != a_select3(simplex7_init,X1,sK9)
& leq(X1,n3)
& leq(n0,X1) )
& leq(sK9,n2)
& leq(n0,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X1] :
( init != a_select3(simplex7_init,X1,sK9)
& leq(X1,n3)
& leq(n0,X1) )
=> ( init != a_select3(simplex7_init,sK10,sK9)
& leq(sK10,n3)
& leq(n0,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f189]) ).
fof(f189,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ sP0 ),
inference(nnf_transformation,[],[f170]) ).
fof(f913,plain,
( ~ sP0
| ~ leq(n0,sK9) ),
inference(subsumption_resolution,[],[f912,f251]) ).
fof(f251,plain,
( leq(sK9,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f912,plain,
( ~ sP0
| ~ leq(sK9,n2)
| ~ leq(n0,sK9) ),
inference(subsumption_resolution,[],[f911,f252]) ).
fof(f252,plain,
( leq(n0,sK10)
| ~ sP0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f911,plain,
( ~ sP0
| ~ leq(n0,sK10)
| ~ leq(sK9,n2)
| ~ leq(n0,sK9) ),
inference(subsumption_resolution,[],[f910,f253]) ).
fof(f253,plain,
( leq(sK10,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f910,plain,
( ~ sP0
| ~ leq(sK10,n3)
| ~ leq(n0,sK10)
| ~ leq(sK9,n2)
| ~ leq(n0,sK9) ),
inference(trivial_inequality_removal,[],[f896]) ).
fof(f896,plain,
( init != init
| ~ sP0
| ~ leq(sK10,n3)
| ~ leq(n0,sK10)
| ~ leq(sK9,n2)
| ~ leq(n0,sK9) ),
inference(superposition,[],[f254,f266]) ).
fof(f266,plain,
! [X4,X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f196]) ).
fof(f254,plain,
( init != a_select3(simplex7_init,sK10,sK9)
| ~ sP0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f886,plain,
~ spl39_13,
inference(avatar_split_clause,[],[f885,f487]) ).
fof(f487,plain,
( spl39_13
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl39_13])]) ).
fof(f885,plain,
~ sP2,
inference(subsumption_resolution,[],[f884,f244]) ).
fof(f244,plain,
( leq(n0,sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( init != a_select2(s_center7_init,sK7)
& leq(sK7,n2)
& leq(n0,sK7) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f182,f183]) ).
fof(f183,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
=> ( init != a_select2(s_center7_init,sK7)
& leq(sK7,n2)
& leq(n0,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
( ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP2 ),
inference(nnf_transformation,[],[f172]) ).
fof(f884,plain,
( ~ sP2
| ~ leq(n0,sK7) ),
inference(subsumption_resolution,[],[f883,f245]) ).
fof(f245,plain,
( leq(sK7,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f883,plain,
( ~ sP2
| ~ leq(sK7,n2)
| ~ leq(n0,sK7) ),
inference(trivial_inequality_removal,[],[f881]) ).
fof(f881,plain,
( init != init
| ~ sP2
| ~ leq(sK7,n2)
| ~ leq(n0,sK7) ),
inference(superposition,[],[f246,f268]) ).
fof(f268,plain,
! [X2] :
( init = a_select2(s_center7_init,X2)
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f246,plain,
( init != a_select2(s_center7_init,sK7)
| ~ sP2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f550,plain,
spl39_1,
inference(avatar_split_clause,[],[f255,f439]) ).
fof(f255,plain,
s_best7_init = init,
inference(cnf_transformation,[],[f196]) ).
fof(f549,plain,
spl39_2,
inference(avatar_split_clause,[],[f256,f443]) ).
fof(f443,plain,
( spl39_2
<=> init = s_sworst7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl39_2])]) ).
fof(f256,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f196]) ).
fof(f548,plain,
spl39_3,
inference(avatar_split_clause,[],[f257,f447]) ).
fof(f447,plain,
( spl39_3
<=> init = s_worst7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl39_3])]) ).
fof(f257,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f196]) ).
fof(f547,plain,
spl39_4,
inference(avatar_split_clause,[],[f258,f451]) ).
fof(f451,plain,
( spl39_4
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_4])]) ).
fof(f258,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f196]) ).
fof(f546,plain,
spl39_5,
inference(avatar_split_clause,[],[f259,f455]) ).
fof(f455,plain,
( spl39_5
<=> leq(n0,s_sworst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_5])]) ).
fof(f259,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f196]) ).
fof(f545,plain,
spl39_6,
inference(avatar_split_clause,[],[f260,f459]) ).
fof(f459,plain,
( spl39_6
<=> leq(n0,s_worst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_6])]) ).
fof(f260,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f196]) ).
fof(f544,plain,
spl39_7,
inference(avatar_split_clause,[],[f261,f463]) ).
fof(f463,plain,
( spl39_7
<=> leq(n0,pv19) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_7])]) ).
fof(f261,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f196]) ).
fof(f543,plain,
spl39_8,
inference(avatar_split_clause,[],[f262,f467]) ).
fof(f467,plain,
( spl39_8
<=> leq(s_best7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_8])]) ).
fof(f262,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f196]) ).
fof(f542,plain,
spl39_9,
inference(avatar_split_clause,[],[f263,f471]) ).
fof(f471,plain,
( spl39_9
<=> leq(s_sworst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_9])]) ).
fof(f263,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f196]) ).
fof(f541,plain,
spl39_10,
inference(avatar_split_clause,[],[f264,f475]) ).
fof(f475,plain,
( spl39_10
<=> leq(s_worst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_10])]) ).
fof(f264,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f196]) ).
fof(f540,plain,
spl39_18,
inference(avatar_split_clause,[],[f539,f507]) ).
fof(f507,plain,
( spl39_18
<=> leq(pv19,pred(n410)) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_18])]) ).
fof(f539,plain,
leq(pv19,pred(n410)),
inference(forward_demodulation,[],[f265,f322]) ).
fof(f265,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f196]) ).
fof(f537,plain,
( ~ spl39_21
| spl39_15 ),
inference(avatar_split_clause,[],[f270,f495,f526]) ).
fof(f526,plain,
( spl39_21
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_21])]) ).
fof(f495,plain,
( spl39_15
<=> init = pvar1400_init ),
introduced(avatar_definition,[new_symbols(naming,[spl39_15])]) ).
fof(f270,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f536,plain,
( ~ spl39_21
| spl39_16 ),
inference(avatar_split_clause,[],[f271,f499,f526]) ).
fof(f499,plain,
( spl39_16
<=> init = pvar1401_init ),
introduced(avatar_definition,[new_symbols(naming,[spl39_16])]) ).
fof(f271,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f535,plain,
( ~ spl39_21
| spl39_17 ),
inference(avatar_split_clause,[],[f272,f503,f526]) ).
fof(f503,plain,
( spl39_17
<=> init = pvar1402_init ),
introduced(avatar_definition,[new_symbols(naming,[spl39_17])]) ).
fof(f272,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f534,plain,
( ~ spl39_1
| ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6
| ~ spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| spl39_11
| spl39_12
| spl39_13
| spl39_20
| spl39_21
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f533,f507,f526,f520,f487,f483,f479,f475,f471,f467,f463,f459,f455,f451,f447,f443,f439]) ).
fof(f533,plain,
( ~ leq(pv19,pred(n410))
| gt(loopcounter,n1)
| leq(n0,sK11)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(forward_demodulation,[],[f431,f322]) ).
fof(f431,plain,
( gt(loopcounter,n1)
| leq(n0,sK11)
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(trivial_inequality_removal,[],[f273]) ).
fof(f273,plain,
( gt(loopcounter,n1)
| leq(n0,sK11)
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[],[f196]) ).
fof(f532,plain,
( ~ spl39_1
| ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6
| ~ spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| spl39_11
| spl39_12
| spl39_13
| spl39_21
| spl39_19
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f531,f507,f514,f526,f487,f483,f479,f475,f471,f467,f463,f459,f455,f451,f447,f443,f439]) ).
fof(f531,plain,
( ~ leq(pv19,pred(n410))
| leq(sK11,pred(n3))
| gt(loopcounter,n1)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(forward_demodulation,[],[f530,f322]) ).
fof(f530,plain,
( leq(sK11,pred(n3))
| gt(loopcounter,n1)
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(forward_demodulation,[],[f432,f322]) ).
fof(f432,plain,
( gt(loopcounter,n1)
| leq(sK11,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( gt(loopcounter,n1)
| leq(sK11,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[],[f196]) ).
fof(f529,plain,
( ~ spl39_1
| ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6
| ~ spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| spl39_11
| spl39_12
| spl39_13
| ~ spl39_14
| spl39_21
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f524,f507,f526,f491,f487,f483,f479,f475,f471,f467,f463,f459,f455,f451,f447,f443,f439]) ).
fof(f524,plain,
( ~ leq(pv19,pred(n410))
| gt(loopcounter,n1)
| init != a_select2(s_try7_init,sK11)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(forward_demodulation,[],[f433,f322]) ).
fof(f433,plain,
( gt(loopcounter,n1)
| init != a_select2(s_try7_init,sK11)
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(trivial_inequality_removal,[],[f275]) ).
fof(f275,plain,
( gt(loopcounter,n1)
| init != a_select2(s_try7_init,sK11)
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[],[f196]) ).
fof(f523,plain,
( ~ spl39_1
| ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6
| ~ spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| spl39_11
| spl39_12
| spl39_13
| spl39_20
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f518,f507,f503,f499,f495,f520,f487,f483,f479,f475,f471,f467,f463,f459,f455,f451,f447,f443,f439]) ).
fof(f518,plain,
( ~ leq(pv19,pred(n410))
| init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| leq(n0,sK11)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(forward_demodulation,[],[f434,f322]) ).
fof(f434,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| leq(n0,sK11)
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| leq(n0,sK11)
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[],[f196]) ).
fof(f517,plain,
( ~ spl39_1
| ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6
| ~ spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| spl39_11
| spl39_12
| spl39_13
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| spl39_19
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f512,f507,f514,f503,f499,f495,f487,f483,f479,f475,f471,f467,f463,f459,f455,f451,f447,f443,f439]) ).
fof(f512,plain,
( ~ leq(pv19,pred(n410))
| leq(sK11,pred(n3))
| init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(forward_demodulation,[],[f511,f322]) ).
fof(f511,plain,
( leq(sK11,pred(n3))
| init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(forward_demodulation,[],[f435,f322]) ).
fof(f435,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| leq(sK11,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(trivial_inequality_removal,[],[f277]) ).
fof(f277,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| leq(sK11,minus(n3,n1))
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[],[f196]) ).
fof(f510,plain,
( ~ spl39_1
| ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| ~ spl39_5
| ~ spl39_6
| ~ spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| spl39_11
| spl39_12
| spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f437,f507,f503,f499,f495,f491,f487,f483,f479,f475,f471,f467,f463,f459,f455,f451,f447,f443,f439]) ).
fof(f437,plain,
( ~ leq(pv19,pred(n410))
| init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| init != a_select2(s_try7_init,sK11)
| sP2
| sP1
| sP0
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(forward_demodulation,[],[f436,f322]) ).
fof(f436,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| init != a_select2(s_try7_init,sK11)
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init ),
inference(trivial_inequality_removal,[],[f278]) ).
fof(f278,plain,
( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| init != a_select2(s_try7_init,sK11)
| sP2
| sP1
| sP0
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[],[f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SWV034+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 10:26:28 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.fv4R0Bklj5/Vampire---4.8_12753
% 0.16/0.37 % (12862)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (12865)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.43 % (12866)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43 % (12863)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.43 % (12867)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 % (12864)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.44 % (12869)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.44 % (12868)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.45 % (12863)Refutation not found, incomplete strategy% (12863)------------------------------
% 0.23/0.45 % (12863)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (12863)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (12863)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45 % (12863)Memory used [KB]: 6012
% 0.23/0.45 % (12863)Time elapsed: 0.014 s
% 0.23/0.45 % (12863)------------------------------
% 0.23/0.45 % (12863)------------------------------
% 0.23/0.45 % (12869)First to succeed.
% 0.23/0.46 % (12869)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for Vampire---4
% 0.23/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (12869)------------------------------
% 0.23/0.46 % (12869)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (12869)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (12869)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (12869)Memory used [KB]: 6268
% 0.23/0.46 % (12869)Time elapsed: 0.023 s
% 0.23/0.46 % (12869)------------------------------
% 0.23/0.46 % (12869)------------------------------
% 0.23/0.46 % (12862)Success in time 0.085 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------