TSTP Solution File: SWV029+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV029+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 : 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 : Wed Aug 31 18:43:55 EDT 2022
% Result : Theorem 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 157 ( 26 unt; 0 def)
% Number of atoms : 1156 ( 370 equ)
% Maximal formula atoms : 58 ( 7 avg)
% Number of connectives : 1547 ( 548 ~; 620 |; 316 &)
% ( 17 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 21 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 25 con; 0-3 aty)
% Number of variables : 140 ( 109 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f473,plain,
$false,
inference(avatar_sat_refutation,[],[f224,f271,f286,f287,f288,f290,f291,f298,f301,f302,f303,f304,f307,f308,f309,f312,f382,f404,f440,f469]) ).
fof(f469,plain,
( ~ spl9_6
| spl9_16
| ~ spl9_17 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl9_6
| spl9_16
| ~ spl9_17 ),
inference(subsumption_resolution,[],[f459,f145]) ).
fof(f145,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X2,X1,X0),X1) = X0,
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X2,X1,X0),X1) = X0,
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X1,X0,X2),X0) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X6,X0,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f459,plain,
( init != a_select2(tptp_update2(s_values7_init,pv1376,init),pv1376)
| ~ spl9_6
| spl9_16
| ~ spl9_17 ),
inference(backward_demodulation,[],[f285,f457]) ).
fof(f457,plain,
( pv1376 = sK8
| ~ spl9_6
| spl9_16
| ~ spl9_17 ),
inference(subsumption_resolution,[],[f456,f447]) ).
fof(f447,plain,
( init = a_select2(s_values7_init,sK8)
| ~ spl9_6
| ~ spl9_17 ),
inference(unit_resulting_resolution,[],[f242,f297,f195]) ).
fof(f195,plain,
! [X1] :
( ~ leq(n0,X1)
| init = a_select2(s_values7_init,X1)
| ~ leq(X1,n3) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( leq(n0,pv1376)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& ( init != init
| init != s_best7_init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ( leq(sK8,n3)
& leq(n0,sK8)
& init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8) )
| ~ leq(n0,s_best7)
| ~ leq(s_best7,n3)
| sP2
| init != s_worst7_init
| sP0
| sP1
| ~ leq(s_sworst7,n3)
| ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) ) )
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
& init = init
& leq(pv1376,n3)
& ! [X2] :
( ~ leq(n0,X2)
| init = a_select2(s_try7_init,X2)
| ~ leq(X2,minus(n3,n1)) )
& init = s_best7_init
& ( ~ gt(loopcounter,n1)
| ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n2)
| init = a_select2(s_center7_init,X3) )
& leq(s_worst7,n3)
& init = s_worst7_init
& leq(s_sworst7,n3)
& init = s_sworst7_init
& ! [X4] :
( ~ leq(n0,X4)
| ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n3)
| init = a_select3(simplex7_init,X5,X4) )
| ~ leq(X4,n2) )
& leq(s_best7,n3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f142,f143]) ).
fof(f143,plain,
( ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(tptp_update2(s_values7_init,pv1376,init),X0) )
=> ( leq(sK8,n3)
& leq(n0,sK8)
& init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( leq(n0,pv1376)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& ( init != init
| init != s_best7_init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ? [X0] :
( leq(X0,n3)
& leq(n0,X0)
& init != a_select2(tptp_update2(s_values7_init,pv1376,init),X0) )
| ~ leq(n0,s_best7)
| ~ leq(s_best7,n3)
| sP2
| init != s_worst7_init
| sP0
| sP1
| ~ leq(s_sworst7,n3)
| ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) ) )
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
& init = init
& leq(pv1376,n3)
& ! [X2] :
( ~ leq(n0,X2)
| init = a_select2(s_try7_init,X2)
| ~ leq(X2,minus(n3,n1)) )
& init = s_best7_init
& ( ~ gt(loopcounter,n1)
| ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n2)
| init = a_select2(s_center7_init,X3) )
& leq(s_worst7,n3)
& init = s_worst7_init
& leq(s_sworst7,n3)
& init = s_sworst7_init
& ! [X4] :
( ~ leq(n0,X4)
| ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n3)
| init = a_select3(simplex7_init,X5,X4) )
| ~ leq(X4,n2) )
& leq(s_best7,n3) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
( leq(n0,pv1376)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& ( init != init
| init != s_best7_init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(tptp_update2(s_values7_init,pv1376,init),X7) )
| ~ leq(n0,s_best7)
| ~ leq(s_best7,n3)
| sP2
| init != s_worst7_init
| sP0
| sP1
| ~ leq(s_sworst7,n3)
| ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) ) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
& init = init
& leq(pv1376,n3)
& ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(s_try7_init,X3)
| ~ leq(X3,minus(n3,n1)) )
& init = s_best7_init
& ( ~ gt(loopcounter,n1)
| ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n2)
| init = a_select2(s_center7_init,X4) )
& leq(s_worst7,n3)
& init = s_worst7_init
& leq(s_sworst7,n3)
& init = s_sworst7_init
& ! [X0] :
( ~ leq(n0,X0)
| ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n3)
| init = a_select3(simplex7_init,X1,X0) )
| ~ leq(X0,n2) )
& leq(s_best7,n3) ),
inference(definition_folding,[],[f115,f122,f121,f120]) ).
fof(f120,plain,
( ? [X8] :
( leq(X8,n2)
& ? [X9] :
( leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3) )
& leq(n0,X8) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f121,plain,
( ? [X5] :
( leq(X5,minus(n3,n1))
& leq(n0,X5)
& init != a_select2(s_try7_init,X5) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f122,plain,
( ? [X6] :
( leq(X6,n2)
& init != a_select2(s_center7_init,X6)
& leq(n0,X6) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f115,plain,
( leq(n0,pv1376)
& leq(n0,s_worst7)
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& ( init != init
| init != s_best7_init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| init != s_sworst7_init
| ~ leq(s_worst7,n3)
| ? [X7] :
( leq(X7,n3)
& leq(n0,X7)
& init != a_select2(tptp_update2(s_values7_init,pv1376,init),X7) )
| ~ leq(n0,s_best7)
| ~ leq(s_best7,n3)
| ? [X6] :
( leq(X6,n2)
& init != a_select2(s_center7_init,X6)
& leq(n0,X6) )
| init != s_worst7_init
| ? [X8] :
( leq(X8,n2)
& ? [X9] :
( leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3) )
& leq(n0,X8) )
| ? [X5] :
( leq(X5,minus(n3,n1))
& leq(n0,X5)
& init != a_select2(s_try7_init,X5) )
| ~ leq(s_sworst7,n3)
| ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) ) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
& init = init
& leq(pv1376,n3)
& ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(s_try7_init,X3)
| ~ leq(X3,minus(n3,n1)) )
& init = s_best7_init
& ( ~ gt(loopcounter,n1)
| ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n2)
| init = a_select2(s_center7_init,X4) )
& leq(s_worst7,n3)
& init = s_worst7_init
& leq(s_sworst7,n3)
& init = s_sworst7_init
& ! [X0] :
( ~ leq(n0,X0)
| ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n3)
| init = a_select3(simplex7_init,X1,X0) )
| ~ leq(X0,n2) )
& leq(s_best7,n3) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
( ( ~ leq(s_sworst7,n3)
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| init != s_worst7_init
| ~ leq(n0,s_sworst7)
| init != s_best7_init
| init != s_sworst7_init
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(n0,X9)
& leq(X9,n3) )
& leq(n0,X8)
& leq(X8,n2) )
| ? [X7] :
( init != a_select2(tptp_update2(s_values7_init,pv1376,init),X7)
& leq(X7,n3)
& leq(n0,X7) )
| ~ leq(n0,s_best7)
| ( gt(loopcounter,n1)
& ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init ) )
| ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ~ leq(n0,s_worst7)
| init != init
| ~ leq(s_best7,n3)
| ~ leq(s_worst7,n3) )
& init = s_sworst7_init
& leq(pv1376,n3)
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& leq(s_best7,n3)
& leq(n0,s_best7)
& leq(n0,s_worst7)
& leq(s_sworst7,n3)
& init = s_best7_init
& leq(n0,s_sworst7)
& ! [X0] :
( ! [X1] :
( init = a_select3(simplex7_init,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& leq(s_worst7,n3)
& ! [X3] :
( init = a_select2(s_try7_init,X3)
| ~ leq(X3,minus(n3,n1))
| ~ leq(n0,X3) )
& ( ~ gt(loopcounter,n1)
| ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& init = init
& leq(n0,pv1376)
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& init = s_worst7_init ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( init = s_sworst7_init
& leq(pv1376,n3)
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& leq(s_best7,n3)
& leq(n0,s_best7)
& leq(n0,s_worst7)
& leq(s_sworst7,n3)
& init = s_best7_init
& leq(n0,s_sworst7)
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> init = a_select3(simplex7_init,X1,X0) ) )
& leq(s_worst7,n3)
& ! [X3] :
( ( leq(X3,minus(n3,n1))
& leq(n0,X3) )
=> init = a_select2(s_try7_init,X3) )
& ( gt(loopcounter,n1)
=> ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& init = init
& leq(n0,pv1376)
& ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> init = a_select2(s_values7_init,X2) )
& init = s_worst7_init )
=> ( leq(s_sworst7,n3)
& ! [X5] :
( ( leq(X5,minus(n3,n1))
& leq(n0,X5) )
=> init = a_select2(s_try7_init,X5) )
& init = s_worst7_init
& leq(n0,s_sworst7)
& init = s_best7_init
& init = s_sworst7_init
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,n2) )
=> ! [X9] :
( ( leq(n0,X9)
& leq(X9,n3) )
=> init = a_select3(simplex7_init,X9,X8) ) )
& ! [X7] :
( ( leq(X7,n3)
& leq(n0,X7) )
=> init = a_select2(tptp_update2(s_values7_init,pv1376,init),X7) )
& leq(n0,s_best7)
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& ! [X6] :
( ( leq(X6,n2)
& leq(n0,X6) )
=> init = a_select2(s_center7_init,X6) )
& leq(n0,s_worst7)
& init = init
& leq(s_best7,n3)
& leq(s_worst7,n3) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(s_sworst7,n3)
& leq(n0,s_sworst7)
& ( gt(loopcounter,n1)
=> ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& leq(s_worst7,n3)
& leq(pv1376,n3)
& leq(n0,s_worst7)
& init = s_sworst7_init
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(s_best7,n3)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n3) )
=> init = a_select2(s_values7_init,X3) )
& init = s_worst7_init
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& init = init
& leq(n0,pv1376)
& init = s_best7_init
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& leq(n0,s_best7) )
=> ( ! [X10] :
( ( leq(n0,X10)
& leq(X10,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X10) )
& init = init
& init = s_worst7_init
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& init = s_best7_init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n2) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(tptp_update2(s_values7_init,pv1376,init),X28) )
& leq(s_worst7,n3)
& leq(n0,s_worst7)
& leq(s_sworst7,n3)
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n3) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& init = s_sworst7_init
& leq(s_best7,n3) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(s_sworst7,n3)
& leq(n0,s_sworst7)
& ( gt(loopcounter,n1)
=> ( init = pvar1400_init
& init = pvar1401_init
& init = pvar1402_init ) )
& leq(s_worst7,n3)
& leq(pv1376,n3)
& leq(n0,s_worst7)
& init = s_sworst7_init
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(s_best7,n3)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n3) )
=> init = a_select2(s_values7_init,X3) )
& init = s_worst7_init
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& init = init
& leq(n0,pv1376)
& init = s_best7_init
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& leq(n0,s_best7) )
=> ( ! [X10] :
( ( leq(n0,X10)
& leq(X10,minus(n3,n1)) )
=> init = a_select2(s_try7_init,X10) )
& init = init
& init = s_worst7_init
& ( gt(loopcounter,n1)
=> ( init = pvar1401_init
& init = pvar1400_init
& init = pvar1402_init ) )
& init = s_best7_init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n2) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(tptp_update2(s_values7_init,pv1376,init),X28) )
& leq(s_worst7,n3)
& leq(n0,s_worst7)
& leq(s_sworst7,n3)
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n2) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n3) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& init = s_sworst7_init
& leq(s_best7,n3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0029) ).
fof(f297,plain,
( leq(n0,sK8)
| ~ spl9_17 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl9_17
<=> leq(n0,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).
fof(f242,plain,
( leq(sK8,n3)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl9_6
<=> leq(sK8,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f456,plain,
( init != a_select2(s_values7_init,sK8)
| pv1376 = sK8
| spl9_16 ),
inference(superposition,[],[f285,f209]) ).
fof(f209,plain,
! [X2,X3,X1,X4] :
( a_select2(X1,X3) = a_select2(tptp_update2(X1,X2,X4),X3)
| X2 = X3 ),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X4] :
( X2 = X3
| a_select2(X1,X3) != X0
| a_select2(tptp_update2(X1,X2,X4),X3) = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( X2 = X3
| a_select2(X1,X3) != X0
| a_select2(tptp_update2(X1,X2,X4),X3) = X0 ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X3,X4,X2] :
( X3 = X4
| a_select2(X1,X4) != X0
| a_select2(tptp_update2(X1,X3,X2),X4) = X0 ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X4,X2,X3,X1,X0] :
( a_select2(tptp_update2(X1,X3,X2),X4) = X0
| a_select2(X1,X4) != X0
| X3 = X4 ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X4,X2,X3,X1,X0] :
( ( a_select2(X1,X4) = X0
& X3 != X4 )
=> a_select2(tptp_update2(X1,X3,X2),X4) = X0 ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X16,X0,X24,X4,X6] :
( ( a_select2(X0,X6) = X16
& X4 != X6 )
=> a_select2(tptp_update2(X0,X4,X24),X6) = X16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sel2_update_2) ).
fof(f285,plain,
( init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8)
| spl9_16 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl9_16
<=> init = a_select2(tptp_update2(s_values7_init,pv1376,init),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f440,plain,
~ spl9_13,
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| ~ spl9_13 ),
inference(subsumption_resolution,[],[f431,f407]) ).
fof(f407,plain,
( init != a_select3(simplex7_init,sK7,sK6)
| ~ spl9_13 ),
inference(unit_resulting_resolution,[],[f270,f178]) ).
fof(f178,plain,
( init != a_select3(simplex7_init,sK7,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( leq(sK6,n2)
& leq(n0,sK7)
& init != a_select3(simplex7_init,sK7,sK6)
& leq(sK7,n3)
& leq(n0,sK6) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f138,f140,f139]) ).
fof(f139,plain,
( ? [X0] :
( leq(X0,n2)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3) )
& leq(n0,X0) )
=> ( leq(sK6,n2)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,sK6)
& leq(X1,n3) )
& leq(n0,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,sK6)
& leq(X1,n3) )
=> ( leq(n0,sK7)
& init != a_select3(simplex7_init,sK7,sK6)
& leq(sK7,n3) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X0] :
( leq(X0,n2)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3) )
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
( ? [X8] :
( leq(X8,n2)
& ? [X9] :
( leq(n0,X9)
& init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3) )
& leq(n0,X8) )
| ~ sP0 ),
inference(nnf_transformation,[],[f120]) ).
fof(f270,plain,
( sP0
| ~ spl9_13 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl9_13
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).
fof(f431,plain,
( init = a_select3(simplex7_init,sK7,sK6)
| ~ spl9_13 ),
inference(unit_resulting_resolution,[],[f405,f408,f406,f409,f182]) ).
fof(f182,plain,
! [X4,X5] :
( ~ leq(n0,X5)
| ~ leq(X4,n2)
| init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f409,plain,
( leq(sK6,n2)
| ~ spl9_13 ),
inference(unit_resulting_resolution,[],[f270,f180]) ).
fof(f180,plain,
( leq(sK6,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
fof(f406,plain,
( leq(n0,sK6)
| ~ spl9_13 ),
inference(unit_resulting_resolution,[],[f270,f176]) ).
fof(f176,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
fof(f408,plain,
( leq(sK7,n3)
| ~ spl9_13 ),
inference(unit_resulting_resolution,[],[f270,f177]) ).
fof(f177,plain,
( leq(sK7,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
fof(f405,plain,
( leq(n0,sK7)
| ~ spl9_13 ),
inference(unit_resulting_resolution,[],[f270,f179]) ).
fof(f179,plain,
( leq(n0,sK7)
| ~ sP0 ),
inference(cnf_transformation,[],[f141]) ).
fof(f404,plain,
~ spl9_10,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl9_10 ),
inference(subsumption_resolution,[],[f396,f385]) ).
fof(f385,plain,
( init != a_select2(s_center7_init,sK4)
| ~ spl9_10 ),
inference(unit_resulting_resolution,[],[f258,f171]) ).
fof(f171,plain,
( init != a_select2(s_center7_init,sK4)
| ~ sP2 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( leq(sK4,n2)
& init != a_select2(s_center7_init,sK4)
& leq(n0,sK4) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f130,f131]) ).
fof(f131,plain,
( ? [X0] :
( leq(X0,n2)
& init != a_select2(s_center7_init,X0)
& leq(n0,X0) )
=> ( leq(sK4,n2)
& init != a_select2(s_center7_init,sK4)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X0] :
( leq(X0,n2)
& init != a_select2(s_center7_init,X0)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
( ? [X6] :
( leq(X6,n2)
& init != a_select2(s_center7_init,X6)
& leq(n0,X6) )
| ~ sP2 ),
inference(nnf_transformation,[],[f122]) ).
fof(f258,plain,
( sP2
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl9_10
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f396,plain,
( init = a_select2(s_center7_init,sK4)
| ~ spl9_10 ),
inference(unit_resulting_resolution,[],[f383,f384,f187]) ).
fof(f187,plain,
! [X3] :
( ~ leq(n0,X3)
| init = a_select2(s_center7_init,X3)
| ~ leq(X3,n2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f384,plain,
( leq(sK4,n2)
| ~ spl9_10 ),
inference(unit_resulting_resolution,[],[f258,f172]) ).
fof(f172,plain,
( leq(sK4,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f132]) ).
fof(f383,plain,
( leq(n0,sK4)
| ~ spl9_10 ),
inference(unit_resulting_resolution,[],[f258,f170]) ).
fof(f170,plain,
( leq(n0,sK4)
| ~ sP2 ),
inference(cnf_transformation,[],[f132]) ).
fof(f382,plain,
~ spl9_8,
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f374,f314]) ).
fof(f314,plain,
( init != a_select2(s_try7_init,sK5)
| ~ spl9_8 ),
inference(unit_resulting_resolution,[],[f250,f173]) ).
fof(f173,plain,
( init != a_select2(s_try7_init,sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( leq(sK5,minus(n3,n1))
& leq(n0,sK5)
& init != a_select2(s_try7_init,sK5) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f134,f135]) ).
fof(f135,plain,
( ? [X0] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& init != a_select2(s_try7_init,X0) )
=> ( leq(sK5,minus(n3,n1))
& leq(n0,sK5)
& init != a_select2(s_try7_init,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X0] :
( leq(X0,minus(n3,n1))
& leq(n0,X0)
& init != a_select2(s_try7_init,X0) )
| ~ sP1 ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
( ? [X5] :
( leq(X5,minus(n3,n1))
& leq(n0,X5)
& init != a_select2(s_try7_init,X5) )
| ~ sP1 ),
inference(nnf_transformation,[],[f121]) ).
fof(f250,plain,
( sP1
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl9_8
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f374,plain,
( init = a_select2(s_try7_init,sK5)
| ~ spl9_8 ),
inference(unit_resulting_resolution,[],[f315,f316,f289]) ).
fof(f289,plain,
! [X2] :
( ~ leq(X2,pred(n3))
| init = a_select2(s_try7_init,X2)
| ~ leq(n0,X2) ),
inference(forward_demodulation,[],[f192,f150]) ).
fof(f150,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f192,plain,
! [X2] :
( init = a_select2(s_try7_init,X2)
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f316,plain,
( leq(sK5,pred(n3))
| ~ spl9_8 ),
inference(forward_demodulation,[],[f313,f150]) ).
fof(f313,plain,
( leq(sK5,minus(n3,n1))
| ~ spl9_8 ),
inference(unit_resulting_resolution,[],[f250,f175]) ).
fof(f175,plain,
( leq(sK5,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f315,plain,
( leq(n0,sK5)
| ~ spl9_8 ),
inference(unit_resulting_resolution,[],[f250,f174]) ).
fof(f174,plain,
( leq(n0,sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f312,plain,
( spl9_2
| spl9_8
| ~ spl9_11
| ~ spl9_12
| ~ spl9_5
| ~ spl9_9
| ~ spl9_4
| spl9_10
| spl9_13
| spl9_17
| ~ spl9_7
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f311,f228,f244,f295,f268,f256,f232,f252,f236,f264,f260,f248,f221]) ).
fof(f221,plain,
( spl9_2
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f260,plain,
( spl9_11
<=> leq(s_sworst7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f264,plain,
( spl9_12
<=> init = s_best7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f236,plain,
( spl9_5
<=> leq(n0,s_sworst7) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f252,plain,
( spl9_9
<=> leq(n0,s_best7) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f232,plain,
( spl9_4
<=> leq(s_best7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f244,plain,
( spl9_7
<=> init = s_sworst7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f228,plain,
( spl9_3
<=> init = s_worst7_init ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f311,plain,
( init != s_worst7_init
| init != s_sworst7_init
| leq(n0,sK8)
| sP0
| sP2
| ~ leq(s_best7,n3)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| init != s_best7_init
| ~ leq(s_sworst7,n3)
| sP1
| gt(loopcounter,n1) ),
inference(subsumption_resolution,[],[f310,f204]) ).
fof(f204,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f144]) ).
fof(f310,plain,
( leq(n0,sK8)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| init != s_best7_init
| sP2
| init != s_sworst7_init
| ~ leq(s_sworst7,n3)
| sP0
| sP1
| init != s_worst7_init
| gt(loopcounter,n1)
| ~ leq(s_best7,n3) ),
inference(subsumption_resolution,[],[f210,f186]) ).
fof(f186,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f144]) ).
fof(f210,plain,
( init != s_worst7_init
| ~ leq(s_best7,n3)
| leq(n0,sK8)
| sP2
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| init != s_best7_init
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| gt(loopcounter,n1)
| sP0 ),
inference(trivial_inequality_removal,[],[f199]) ).
fof(f199,plain,
( ~ leq(n0,s_best7)
| ~ leq(s_sworst7,n3)
| sP0
| gt(loopcounter,n1)
| sP2
| ~ leq(n0,s_sworst7)
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| init != s_best7_init
| init != s_worst7_init
| sP1
| leq(n0,sK8)
| init != s_sworst7_init
| ~ leq(n0,s_worst7)
| init != init ),
inference(cnf_transformation,[],[f144]) ).
fof(f309,plain,
spl9_12,
inference(avatar_split_clause,[],[f191,f264]) ).
fof(f191,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f144]) ).
fof(f308,plain,
spl9_4,
inference(avatar_split_clause,[],[f181,f232]) ).
fof(f181,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f144]) ).
fof(f307,plain,
( ~ spl9_16
| ~ spl9_12
| ~ spl9_4
| spl9_8
| ~ spl9_9
| ~ spl9_3
| ~ spl9_5
| ~ spl9_11
| spl9_13
| spl9_2
| spl9_10
| ~ spl9_7 ),
inference(avatar_split_clause,[],[f306,f244,f256,f221,f268,f260,f236,f228,f252,f248,f232,f264,f283]) ).
fof(f306,plain,
( init != s_sworst7_init
| sP2
| gt(loopcounter,n1)
| sP0
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_sworst7)
| init != s_worst7_init
| ~ leq(n0,s_best7)
| sP1
| ~ leq(s_best7,n3)
| init != s_best7_init
| init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8) ),
inference(subsumption_resolution,[],[f305,f204]) ).
fof(f305,plain,
( ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| init != s_best7_init
| ~ leq(s_best7,n3)
| sP1
| sP0
| ~ leq(s_sworst7,n3)
| gt(loopcounter,n1)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8)
| sP2 ),
inference(subsumption_resolution,[],[f211,f186]) ).
fof(f211,plain,
( sP0
| ~ leq(s_sworst7,n3)
| init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8)
| init != s_best7_init
| ~ leq(n0,s_sworst7)
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_worst7)
| init != s_sworst7_init
| ~ leq(n0,s_best7)
| gt(loopcounter,n1)
| init != s_worst7_init
| sP1
| ~ leq(s_best7,n3) ),
inference(trivial_inequality_removal,[],[f197]) ).
fof(f197,plain,
( ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_best7_init
| gt(loopcounter,n1)
| sP1
| init != s_sworst7_init
| init != init
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8)
| sP0
| ~ leq(s_worst7,n3)
| sP2
| ~ leq(n0,s_worst7)
| init != s_worst7_init ),
inference(cnf_transformation,[],[f144]) ).
fof(f304,plain,
spl9_5,
inference(avatar_split_clause,[],[f202,f236]) ).
fof(f202,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f144]) ).
fof(f303,plain,
spl9_11,
inference(avatar_split_clause,[],[f184,f260]) ).
fof(f184,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f144]) ).
fof(f302,plain,
spl9_3,
inference(avatar_split_clause,[],[f185,f228]) ).
fof(f185,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f144]) ).
fof(f301,plain,
( spl9_6
| ~ spl9_11
| ~ spl9_5
| ~ spl9_4
| ~ spl9_7
| ~ spl9_1
| ~ spl9_3
| spl9_8
| ~ spl9_15
| ~ spl9_14
| ~ spl9_12
| ~ spl9_9
| spl9_10
| spl9_13 ),
inference(avatar_split_clause,[],[f300,f268,f256,f252,f264,f275,f279,f248,f228,f217,f244,f232,f236,f260,f240]) ).
fof(f217,plain,
( spl9_1
<=> init = pvar1401_init ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f279,plain,
( spl9_15
<=> init = pvar1400_init ),
introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).
fof(f275,plain,
( spl9_14
<=> init = pvar1402_init ),
introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).
fof(f300,plain,
( sP0
| sP2
| ~ leq(n0,s_best7)
| init != s_best7_init
| init != pvar1402_init
| init != pvar1400_init
| sP1
| init != s_worst7_init
| init != pvar1401_init
| init != s_sworst7_init
| ~ leq(s_best7,n3)
| ~ leq(n0,s_sworst7)
| ~ leq(s_sworst7,n3)
| leq(sK8,n3) ),
inference(subsumption_resolution,[],[f299,f204]) ).
fof(f299,plain,
( init != pvar1401_init
| init != s_sworst7_init
| init != s_worst7_init
| init != s_best7_init
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_sworst7)
| init != pvar1400_init
| sP0
| ~ leq(n0,s_worst7)
| leq(sK8,n3)
| ~ leq(n0,s_best7)
| sP1
| init != pvar1402_init
| sP2 ),
inference(subsumption_resolution,[],[f212,f186]) ).
fof(f212,plain,
( init != pvar1400_init
| ~ leq(n0,s_best7)
| sP1
| init != s_worst7_init
| init != pvar1401_init
| ~ leq(n0,s_sworst7)
| ~ leq(s_sworst7,n3)
| init != pvar1402_init
| init != s_best7_init
| ~ leq(s_worst7,n3)
| leq(sK8,n3)
| ~ leq(n0,s_worst7)
| init != s_sworst7_init
| ~ leq(s_best7,n3)
| sP0
| sP2 ),
inference(trivial_inequality_removal,[],[f200]) ).
fof(f200,plain,
( init != s_sworst7_init
| leq(sK8,n3)
| sP0
| init != pvar1401_init
| init != pvar1402_init
| init != s_worst7_init
| init != init
| sP1
| sP2
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_best7)
| init != s_best7_init
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_sworst7)
| init != pvar1400_init ),
inference(cnf_transformation,[],[f144]) ).
fof(f298,plain,
( spl9_17
| ~ spl9_4
| ~ spl9_1
| ~ spl9_11
| spl9_13
| ~ spl9_3
| ~ spl9_12
| ~ spl9_9
| ~ spl9_15
| ~ spl9_5
| ~ spl9_7
| spl9_8
| ~ spl9_14
| spl9_10 ),
inference(avatar_split_clause,[],[f293,f256,f275,f248,f244,f236,f279,f252,f264,f228,f268,f260,f217,f232,f295]) ).
fof(f293,plain,
( sP2
| init != pvar1402_init
| sP1
| init != s_sworst7_init
| ~ leq(n0,s_sworst7)
| init != pvar1400_init
| ~ leq(n0,s_best7)
| init != s_best7_init
| init != s_worst7_init
| sP0
| ~ leq(s_sworst7,n3)
| init != pvar1401_init
| ~ leq(s_best7,n3)
| leq(n0,sK8) ),
inference(subsumption_resolution,[],[f292,f204]) ).
fof(f292,plain,
( ~ leq(s_best7,n3)
| sP1
| init != pvar1400_init
| init != s_best7_init
| init != pvar1402_init
| leq(n0,sK8)
| init != s_sworst7_init
| sP2
| init != s_worst7_init
| sP0
| init != pvar1401_init
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_sworst7,n3)
| ~ leq(n0,s_best7) ),
inference(subsumption_resolution,[],[f213,f186]) ).
fof(f213,plain,
( ~ leq(s_sworst7,n3)
| init != s_sworst7_init
| sP0
| init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init
| sP1
| ~ leq(n0,s_best7)
| leq(n0,sK8)
| sP2
| ~ leq(s_worst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,s_sworst7)
| init != s_best7_init
| ~ leq(n0,s_worst7)
| init != s_worst7_init ),
inference(trivial_inequality_removal,[],[f198]) ).
fof(f198,plain,
( ~ leq(s_best7,n3)
| init != pvar1400_init
| sP1
| init != pvar1401_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| init != s_sworst7_init
| leq(n0,sK8)
| init != s_best7_init
| init != init
| ~ leq(n0,s_sworst7)
| init != pvar1402_init
| sP0
| ~ leq(n0,s_worst7)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP2 ),
inference(cnf_transformation,[],[f144]) ).
fof(f291,plain,
( spl9_14
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f188,f221,f275]) ).
fof(f188,plain,
( ~ gt(loopcounter,n1)
| init = pvar1402_init ),
inference(cnf_transformation,[],[f144]) ).
fof(f290,plain,
( spl9_15
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f190,f221,f279]) ).
fof(f190,plain,
( ~ gt(loopcounter,n1)
| init = pvar1400_init ),
inference(cnf_transformation,[],[f144]) ).
fof(f288,plain,
spl9_7,
inference(avatar_split_clause,[],[f183,f244]) ).
fof(f183,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f144]) ).
fof(f287,plain,
spl9_9,
inference(avatar_split_clause,[],[f203,f252]) ).
fof(f203,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f144]) ).
fof(f286,plain,
( spl9_10
| spl9_13
| ~ spl9_14
| ~ spl9_3
| ~ spl9_15
| ~ spl9_7
| ~ spl9_4
| ~ spl9_1
| ~ spl9_9
| ~ spl9_5
| ~ spl9_16
| ~ spl9_12
| spl9_8
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f273,f260,f248,f264,f283,f236,f252,f217,f232,f244,f279,f228,f275,f268,f256]) ).
fof(f273,plain,
( ~ leq(s_sworst7,n3)
| sP1
| init != s_best7_init
| init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != pvar1401_init
| ~ leq(s_best7,n3)
| init != s_sworst7_init
| init != pvar1400_init
| init != s_worst7_init
| init != pvar1402_init
| sP0
| sP2 ),
inference(subsumption_resolution,[],[f272,f186]) ).
fof(f272,plain,
( sP0
| init != pvar1401_init
| init != pvar1402_init
| sP2
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(s_best7,n3)
| init != pvar1400_init
| init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8)
| ~ leq(n0,s_best7)
| sP1
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| init != s_best7_init
| ~ leq(n0,s_sworst7) ),
inference(subsumption_resolution,[],[f214,f204]) ).
fof(f214,plain,
( ~ leq(n0,s_worst7)
| ~ leq(n0,s_best7)
| init != pvar1401_init
| sP2
| init != s_sworst7_init
| ~ leq(s_best7,n3)
| ~ leq(n0,s_sworst7)
| init != pvar1400_init
| init != s_best7_init
| sP0
| ~ leq(s_sworst7,n3)
| init != pvar1402_init
| sP1
| ~ leq(s_worst7,n3)
| init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8)
| init != s_worst7_init ),
inference(trivial_inequality_removal,[],[f196]) ).
fof(f196,plain,
( sP0
| ~ leq(n0,s_sworst7)
| init != pvar1401_init
| ~ leq(s_sworst7,n3)
| init != pvar1402_init
| init != s_best7_init
| init != s_sworst7_init
| init != a_select2(tptp_update2(s_values7_init,pv1376,init),sK8)
| sP1
| ~ leq(n0,s_worst7)
| ~ leq(s_worst7,n3)
| init != init
| ~ leq(n0,s_best7)
| init != s_worst7_init
| sP2
| ~ leq(s_best7,n3)
| init != pvar1400_init ),
inference(cnf_transformation,[],[f144]) ).
fof(f271,plain,
( ~ spl9_3
| ~ spl9_4
| ~ spl9_5
| spl9_6
| spl9_2
| ~ spl9_7
| spl9_8
| ~ spl9_9
| spl9_10
| ~ spl9_11
| ~ spl9_12
| spl9_13 ),
inference(avatar_split_clause,[],[f226,f268,f264,f260,f256,f252,f248,f244,f221,f240,f236,f232,f228]) ).
fof(f226,plain,
( sP0
| init != s_best7_init
| ~ leq(s_sworst7,n3)
| sP2
| ~ leq(n0,s_best7)
| sP1
| init != s_sworst7_init
| gt(loopcounter,n1)
| leq(sK8,n3)
| ~ leq(n0,s_sworst7)
| ~ leq(s_best7,n3)
| init != s_worst7_init ),
inference(subsumption_resolution,[],[f225,f186]) ).
fof(f225,plain,
( sP0
| ~ leq(n0,s_sworst7)
| init != s_worst7_init
| ~ leq(s_worst7,n3)
| sP2
| init != s_sworst7_init
| init != s_best7_init
| gt(loopcounter,n1)
| sP1
| ~ leq(n0,s_best7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| leq(sK8,n3) ),
inference(subsumption_resolution,[],[f215,f204]) ).
fof(f215,plain,
( sP1
| gt(loopcounter,n1)
| sP2
| ~ leq(n0,s_best7)
| sP0
| init != s_sworst7_init
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(n0,s_sworst7)
| init != s_worst7_init
| init != s_best7_init
| leq(sK8,n3)
| ~ leq(s_sworst7,n3) ),
inference(trivial_inequality_removal,[],[f201]) ).
fof(f201,plain,
( init != s_worst7_init
| sP2
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| init != s_best7_init
| ~ leq(n0,s_best7)
| sP1
| ~ leq(s_best7,n3)
| init != s_sworst7_init
| init != init
| leq(sK8,n3)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| gt(loopcounter,n1)
| sP0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f224,plain,
( spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f189,f221,f217]) ).
fof(f189,plain,
( ~ gt(loopcounter,n1)
| init = pvar1401_init ),
inference(cnf_transformation,[],[f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV029+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:58:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.52 % (8305)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)
% 0.22/0.52 % (8297)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)
% 0.22/0.52 % (8288)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)
% 0.22/0.52 % (8289)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.22/0.53 % (8297)Instruction limit reached!
% 0.22/0.53 % (8297)------------------------------
% 0.22/0.53 % (8297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (8297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (8297)Termination reason: Unknown
% 0.22/0.53 % (8297)Termination phase: shuffling
% 0.22/0.53
% 0.22/0.53 % (8297)Memory used [KB]: 1663
% 0.22/0.53 % (8297)Time elapsed: 0.008 s
% 0.22/0.53 % (8297)Instructions burned: 8 (million)
% 0.22/0.53 % (8297)------------------------------
% 0.22/0.53 % (8297)------------------------------
% 0.22/0.53 % (8285)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)
% 0.22/0.54 % (8310)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.22/0.54 % (8286)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.22/0.54 % (8296)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.54 % (8287)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)
% 0.22/0.54 % (8283)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.22/0.54 % (8303)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.54 % (8293)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)
% 0.22/0.54 % (8292)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)
% 0.22/0.55 % (8293)Instruction limit reached!
% 0.22/0.55 % (8293)------------------------------
% 0.22/0.55 % (8293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (8293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (8293)Termination reason: Unknown
% 0.22/0.55 % (8293)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (8293)Memory used [KB]: 6140
% 0.22/0.55 % (8293)Time elapsed: 0.004 s
% 0.22/0.55 % (8293)Instructions burned: 7 (million)
% 0.22/0.55 % (8293)------------------------------
% 0.22/0.55 % (8293)------------------------------
% 0.22/0.55 % (8287)Instruction limit reached!
% 0.22/0.55 % (8287)------------------------------
% 0.22/0.55 % (8287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (8287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (8287)Termination reason: Unknown
% 0.22/0.55 % (8287)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (8287)Memory used [KB]: 1663
% 0.22/0.55 % (8287)Time elapsed: 0.009 s
% 0.22/0.55 % (8287)Instructions burned: 16 (million)
% 0.22/0.55 % (8287)------------------------------
% 0.22/0.55 % (8287)------------------------------
% 0.22/0.55 % (8311)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)
% 0.22/0.55 % (8295)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.55 % (8302)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.22/0.55 % (8304)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.22/0.55 % (8309)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.22/0.55 % (8299)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.55 % (8308)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.55 % (8306)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)
% 0.22/0.56 % (8284)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)
% 0.22/0.56 % (8301)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.22/0.56 % (8294)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.56 % (8284)Instruction limit reached!
% 0.22/0.56 % (8284)------------------------------
% 0.22/0.56 % (8284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (8284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (8284)Termination reason: Unknown
% 0.22/0.56 % (8284)Termination phase: Preprocessing 2
% 0.22/0.56
% 0.22/0.56 % (8284)Memory used [KB]: 1535
% 0.22/0.56 % (8284)Time elapsed: 0.004 s
% 0.22/0.56 % (8284)Instructions burned: 3 (million)
% 0.22/0.56 % (8284)------------------------------
% 0.22/0.56 % (8284)------------------------------
% 0.22/0.56 % (8291)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.22/0.56 % (8282)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.22/0.56 % (8300)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.56 % (8300)Instruction limit reached!
% 0.22/0.56 % (8300)------------------------------
% 0.22/0.56 % (8300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (8300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (8300)Termination reason: Unknown
% 0.22/0.56 % (8300)Termination phase: Preprocessing 3
% 0.22/0.56
% 0.22/0.56 % (8300)Memory used [KB]: 1535
% 0.22/0.56 % (8300)Time elapsed: 0.002 s
% 0.22/0.56 % (8300)Instructions burned: 3 (million)
% 0.22/0.56 % (8296)Instruction limit reached!
% 0.22/0.56 % (8296)------------------------------
% 0.22/0.56 % (8296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (8300)------------------------------
% 0.22/0.56 % (8300)------------------------------
% 0.22/0.56 % (8296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (8296)Termination reason: Unknown
% 0.22/0.56 % (8296)Termination phase: Preprocessing 3
% 0.22/0.56
% 0.22/0.56 % (8296)Memory used [KB]: 1535
% 0.22/0.56 % (8296)Time elapsed: 0.004 s
% 0.22/0.56 % (8296)Instructions burned: 3 (million)
% 0.22/0.56 % (8296)------------------------------
% 0.22/0.56 % (8296)------------------------------
% 0.22/0.56 % (8292)Instruction limit reached!
% 0.22/0.56 % (8292)------------------------------
% 0.22/0.56 % (8292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (8292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (8292)Termination reason: Unknown
% 0.22/0.56 % (8292)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (8292)Memory used [KB]: 6268
% 0.22/0.56 % (8292)Time elapsed: 0.130 s
% 0.22/0.56 % (8292)Instructions burned: 12 (million)
% 0.22/0.56 % (8292)------------------------------
% 0.22/0.56 % (8292)------------------------------
% 0.22/0.56 % (8286)Instruction limit reached!
% 0.22/0.56 % (8286)------------------------------
% 0.22/0.56 % (8286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (8286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (8286)Termination reason: Unknown
% 0.22/0.56 % (8286)Termination phase: Property scanning
% 0.22/0.56
% 0.22/0.56 % (8286)Memory used [KB]: 1535
% 0.22/0.56 % (8286)Time elapsed: 0.007 s
% 0.22/0.56 % (8286)Instructions burned: 16 (million)
% 0.22/0.56 % (8286)------------------------------
% 0.22/0.56 % (8286)------------------------------
% 0.22/0.56 % (8307)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.22/0.57 % (8305)Instruction limit reached!
% 0.22/0.57 % (8305)------------------------------
% 0.22/0.57 % (8305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.57 % (8305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.57 % (8305)Termination reason: Unknown
% 0.22/0.57 % (8305)Termination phase: Saturation
% 0.22/0.57
% 0.22/0.57 % (8305)Memory used [KB]: 1791
% 0.22/0.57 % (8305)Time elapsed: 0.097 s
% 0.22/0.57 % (8305)Instructions burned: 45 (million)
% 0.22/0.57 % (8305)------------------------------
% 0.22/0.57 % (8305)------------------------------
% 0.22/0.57 % (8290)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.22/0.57 % (8285)First to succeed.
% 0.22/0.57 % (8285)Refutation found. Thanks to Tanya!
% 0.22/0.57 % SZS status Theorem for theBenchmark
% 0.22/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.58 % (8285)------------------------------
% 0.22/0.58 % (8285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.58 % (8285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.58 % (8285)Termination reason: Refutation
% 0.22/0.58
% 0.22/0.58 % (8285)Memory used [KB]: 6396
% 0.22/0.58 % (8285)Time elapsed: 0.147 s
% 0.22/0.58 % (8285)Instructions burned: 20 (million)
% 0.22/0.58 % (8285)------------------------------
% 0.22/0.58 % (8285)------------------------------
% 0.22/0.58 % (8281)Success in time 0.213 s
%------------------------------------------------------------------------------