TSTP Solution File: SWV030+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV030+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_sat --cores 0 -t %d %s
% Computer : n003.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 18:55:17 EDT 2022
% Result : Theorem 0.16s 0.54s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 5
% Syntax : Number of formulae : 95 ( 19 unt; 0 def)
% Number of atoms : 593 ( 90 equ)
% Maximal formula atoms : 34 ( 6 avg)
% Number of connectives : 770 ( 272 ~; 291 |; 183 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 57 ( 38 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f669,plain,
$false,
inference(subsumption_resolution,[],[f668,f661]) ).
fof(f661,plain,
init != a_select2(s_values7_init,sK34),
inference(resolution,[],[f659,f485]) ).
fof(f485,plain,
( sP4
| init != a_select2(s_values7_init,sK34) ),
inference(subsumption_resolution,[],[f484,f423]) ).
fof(f423,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
( leq(n0,pv19)
& ( ~ leq(n0,pv1376)
| ( leq(sK34,minus(pv1376,n1))
& init != a_select2(s_values7_init,sK34)
& leq(n0,sK34) )
| init != init
| ~ leq(n0,pv7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv20)
| sP4
| ~ leq(pv1376,n3)
| ~ leq(n0,pv19) )
& leq(n0,pv7)
& leq(pv20,minus(n330,n1))
& leq(n0,pv1376)
& init = init
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv1376,n1)) )
& ! [X2] :
( ! [X3] :
( ~ leq(X3,n3)
| init = a_select3(simplex7_init,X3,X2)
| ~ leq(n0,X3) )
| ~ leq(n0,X2)
| ~ leq(X2,n2) )
& leq(pv1376,n3)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(n0,pv20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f257,f258]) ).
fof(f258,plain,
( ? [X0] :
( leq(X0,minus(pv1376,n1))
& init != a_select2(s_values7_init,X0)
& leq(n0,X0) )
=> ( leq(sK34,minus(pv1376,n1))
& init != a_select2(s_values7_init,sK34)
& leq(n0,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
( leq(n0,pv19)
& ( ~ leq(n0,pv1376)
| ? [X0] :
( leq(X0,minus(pv1376,n1))
& init != a_select2(s_values7_init,X0)
& leq(n0,X0) )
| init != init
| ~ leq(n0,pv7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv20)
| sP4
| ~ leq(pv1376,n3)
| ~ leq(n0,pv19) )
& leq(n0,pv7)
& leq(pv20,minus(n330,n1))
& leq(n0,pv1376)
& init = init
& ! [X1] :
( init = a_select2(s_values7_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv1376,n1)) )
& ! [X2] :
( ! [X3] :
( ~ leq(X3,n3)
| init = a_select3(simplex7_init,X3,X2)
| ~ leq(n0,X3) )
| ~ leq(n0,X2)
| ~ leq(X2,n2) )
& leq(pv1376,n3)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(n0,pv20) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
( leq(n0,pv19)
& ( ~ leq(n0,pv1376)
| ? [X5] :
( leq(X5,minus(pv1376,n1))
& init != a_select2(s_values7_init,X5)
& leq(n0,X5) )
| init != init
| ~ leq(n0,pv7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv20)
| sP4
| ~ leq(pv1376,n3)
| ~ leq(n0,pv19) )
& leq(n0,pv7)
& leq(pv20,minus(n330,n1))
& leq(n0,pv1376)
& init = init
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,minus(pv1376,n1)) )
& ! [X0] :
( ! [X1] :
( ~ leq(X1,n3)
| init = a_select3(simplex7_init,X1,X0)
| ~ leq(n0,X1) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& leq(pv1376,n3)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(n0,pv20) ),
inference(definition_folding,[],[f155,f192]) ).
fof(f192,plain,
( ? [X3] :
( leq(X3,n2)
& leq(n0,X3)
& ? [X4] :
( leq(n0,X4)
& init != a_select3(simplex7_init,X4,X3)
& leq(X4,n3) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f155,plain,
( leq(n0,pv19)
& ( ~ leq(n0,pv1376)
| ? [X5] :
( leq(X5,minus(pv1376,n1))
& init != a_select2(s_values7_init,X5)
& leq(n0,X5) )
| init != init
| ~ leq(n0,pv7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv20)
| ? [X3] :
( leq(X3,n2)
& leq(n0,X3)
& ? [X4] :
( leq(n0,X4)
& init != a_select3(simplex7_init,X4,X3)
& leq(X4,n3) ) )
| ~ leq(pv1376,n3)
| ~ leq(n0,pv19) )
& leq(n0,pv7)
& leq(pv20,minus(n330,n1))
& leq(n0,pv1376)
& init = init
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,minus(pv1376,n1)) )
& ! [X0] :
( ! [X1] :
( ~ leq(X1,n3)
| init = a_select3(simplex7_init,X1,X0)
| ~ leq(n0,X1) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& leq(pv1376,n3)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(n0,pv20) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
( ( init != init
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv20)
| ? [X5] :
( init != a_select2(s_values7_init,X5)
& leq(n0,X5)
& leq(X5,minus(pv1376,n1)) )
| ~ leq(n0,pv7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| ? [X3] :
( ? [X4] :
( init != a_select3(simplex7_init,X4,X3)
& leq(X4,n3)
& leq(n0,X4) )
& leq(X3,n2)
& leq(n0,X3) )
| ~ leq(n0,pv1376)
| ~ leq(pv1376,n3) )
& leq(n0,pv7)
& leq(n0,pv20)
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,minus(pv1376,n1))
| ~ leq(n0,X2) )
& ! [X0] :
( ! [X1] :
( init = a_select3(simplex7_init,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
& leq(pv7,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(n0,pv19)
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(n0,pv1376)
& init = init ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
~ ( ( leq(n0,pv7)
& leq(n0,pv20)
& ! [X2] :
( ( leq(X2,minus(pv1376,n1))
& leq(n0,X2) )
=> init = a_select2(s_values7_init,X2) )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> init = a_select3(simplex7_init,X1,X0) ) )
& leq(pv7,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(n0,pv19)
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(n0,pv1376)
& init = init )
=> ( init = init
& leq(pv7,minus(n410,n1))
& leq(n0,pv20)
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv1376,n1)) )
=> init = a_select2(s_values7_init,X5) )
& leq(n0,pv7)
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(n0,pv19)
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> init = a_select3(simplex7_init,X4,X3) ) )
& leq(n0,pv1376)
& leq(pv1376,n3) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& init = init
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n3) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,pv1376)
& leq(n0,pv19)
& ! [X3] :
( ( leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& leq(n0,pv20)
& leq(n0,pv7) )
=> ( leq(n0,pv19)
& leq(n0,pv1376)
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& init = init
& leq(n0,pv20)
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n2) )
=> ! [X20] :
( ( leq(X20,n3)
& leq(n0,X20) )
=> init = a_select3(simplex7_init,X20,X19) ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,minus(pv1376,n1)) )
=> init = a_select2(s_values7_init,X21) )
& leq(n0,pv7)
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& init = init
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n2) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n3) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(n0,pv1376)
& leq(n0,pv19)
& ! [X3] :
( ( leq(X3,minus(pv1376,n1))
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& leq(n0,pv20)
& leq(n0,pv7) )
=> ( leq(n0,pv19)
& leq(n0,pv1376)
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& init = init
& leq(n0,pv20)
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,n2) )
=> ! [X20] :
( ( leq(X20,n3)
& leq(n0,X20) )
=> init = a_select3(simplex7_init,X20,X19) ) )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,minus(pv1376,n1)) )
=> init = a_select2(s_values7_init,X21) )
& leq(n0,pv7)
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0033) ).
fof(f484,plain,
( ~ leq(n0,pv1376)
| init != a_select2(s_values7_init,sK34)
| sP4 ),
inference(subsumption_resolution,[],[f483,f416]) ).
fof(f416,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f259]) ).
fof(f483,plain,
( sP4
| ~ leq(n0,pv20)
| init != a_select2(s_values7_init,sK34)
| ~ leq(n0,pv1376) ),
inference(subsumption_resolution,[],[f482,f425]) ).
fof(f425,plain,
leq(n0,pv7),
inference(cnf_transformation,[],[f259]) ).
fof(f482,plain,
( init != a_select2(s_values7_init,sK34)
| ~ leq(n0,pv7)
| sP4
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376) ),
inference(subsumption_resolution,[],[f481,f418]) ).
fof(f418,plain,
leq(pv7,minus(n410,n1)),
inference(cnf_transformation,[],[f259]) ).
fof(f481,plain,
( sP4
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv7)
| ~ leq(n0,pv20)
| init != a_select2(s_values7_init,sK34) ),
inference(subsumption_resolution,[],[f480,f417]) ).
fof(f417,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f259]) ).
fof(f480,plain,
( ~ leq(pv19,minus(n410,n1))
| init != a_select2(s_values7_init,sK34)
| sP4
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv7) ),
inference(subsumption_resolution,[],[f479,f424]) ).
fof(f424,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f259]) ).
fof(f479,plain,
( init != a_select2(s_values7_init,sK34)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv20)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv7)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv1376)
| sP4 ),
inference(subsumption_resolution,[],[f478,f429]) ).
fof(f429,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f259]) ).
fof(f478,plain,
( init != a_select2(s_values7_init,sK34)
| ~ leq(n0,pv19)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv20)
| ~ leq(pv19,minus(n410,n1))
| sP4
| ~ leq(n0,pv1376)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv7) ),
inference(subsumption_resolution,[],[f467,f419]) ).
fof(f419,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f259]) ).
fof(f467,plain,
( ~ leq(pv1376,n3)
| ~ leq(n0,pv7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv20)
| init != a_select2(s_values7_init,sK34)
| sP4
| ~ leq(n0,pv19)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376) ),
inference(trivial_inequality_removal,[],[f427]) ).
fof(f427,plain,
( ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| init != init
| sP4
| ~ leq(pv1376,n3)
| init != a_select2(s_values7_init,sK34)
| ~ leq(n0,pv20)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv7)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1)) ),
inference(cnf_transformation,[],[f259]) ).
fof(f659,plain,
~ sP4,
inference(subsumption_resolution,[],[f412,f553]) ).
fof(f553,plain,
init = a_select3(simplex7_init,sK33,sK32),
inference(subsumption_resolution,[],[f546,f507]) ).
fof(f507,plain,
leq(sK33,n3),
inference(subsumption_resolution,[],[f506,f503]) ).
fof(f503,plain,
( leq(sK33,n3)
| init != a_select2(s_values7_init,sK34) ),
inference(resolution,[],[f411,f485]) ).
fof(f411,plain,
( ~ sP4
| leq(sK33,n3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ( leq(sK32,n2)
& leq(n0,sK32)
& leq(n0,sK33)
& init != a_select3(simplex7_init,sK33,sK32)
& leq(sK33,n3) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f253,f255,f254]) ).
fof(f254,plain,
( ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3) ) )
=> ( leq(sK32,n2)
& leq(n0,sK32)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,sK32)
& leq(X1,n3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,sK32)
& leq(X1,n3) )
=> ( leq(n0,sK33)
& init != a_select3(simplex7_init,sK33,sK32)
& leq(sK33,n3) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X0] :
( leq(X0,n2)
& leq(n0,X0)
& ? [X1] :
( leq(n0,X1)
& init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3) ) )
| ~ sP4 ),
inference(rectify,[],[f252]) ).
fof(f252,plain,
( ? [X3] :
( leq(X3,n2)
& leq(n0,X3)
& ? [X4] :
( leq(n0,X4)
& init != a_select3(simplex7_init,X4,X3)
& leq(X4,n3) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f192]) ).
fof(f506,plain,
( leq(sK33,n3)
| init = a_select2(s_values7_init,sK34) ),
inference(subsumption_resolution,[],[f505,f504]) ).
fof(f504,plain,
( leq(sK33,n3)
| leq(n0,sK34) ),
inference(resolution,[],[f411,f477]) ).
fof(f477,plain,
( sP4
| leq(n0,sK34) ),
inference(subsumption_resolution,[],[f476,f429]) ).
fof(f476,plain,
( sP4
| leq(n0,sK34)
| ~ leq(n0,pv19) ),
inference(subsumption_resolution,[],[f475,f423]) ).
fof(f475,plain,
( ~ leq(n0,pv1376)
| ~ leq(n0,pv19)
| sP4
| leq(n0,sK34) ),
inference(subsumption_resolution,[],[f474,f417]) ).
fof(f474,plain,
( ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv1376)
| sP4
| leq(n0,sK34)
| ~ leq(n0,pv19) ),
inference(subsumption_resolution,[],[f473,f424]) ).
fof(f473,plain,
( ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,pv1376)
| sP4
| leq(n0,sK34)
| ~ leq(pv19,minus(n410,n1)) ),
inference(subsumption_resolution,[],[f472,f418]) ).
fof(f472,plain,
( ~ leq(pv7,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(n0,sK34)
| ~ leq(n0,pv1376)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19) ),
inference(subsumption_resolution,[],[f471,f425]) ).
fof(f471,plain,
( ~ leq(n0,pv7)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| sP4
| ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| leq(n0,sK34) ),
inference(subsumption_resolution,[],[f470,f419]) ).
fof(f470,plain,
( ~ leq(pv1376,n3)
| ~ leq(n0,pv7)
| ~ leq(pv20,minus(n330,n1))
| sP4
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv1376)
| leq(n0,sK34)
| ~ leq(n0,pv19) ),
inference(subsumption_resolution,[],[f469,f416]) ).
fof(f469,plain,
( ~ leq(n0,pv20)
| ~ leq(n0,pv7)
| ~ leq(n0,pv1376)
| leq(n0,sK34)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv1376,n3)
| sP4
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(n0,pv19) ),
inference(trivial_inequality_removal,[],[f426]) ).
fof(f426,plain,
( ~ leq(pv7,minus(n410,n1))
| sP4
| ~ leq(n0,pv20)
| init != init
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv7)
| leq(n0,sK34)
| ~ leq(pv1376,n3)
| ~ leq(n0,pv19) ),
inference(cnf_transformation,[],[f259]) ).
fof(f505,plain,
( leq(sK33,n3)
| ~ leq(n0,sK34)
| init = a_select2(s_values7_init,sK34) ),
inference(resolution,[],[f502,f421]) ).
fof(f421,plain,
! [X1] :
( ~ leq(X1,minus(pv1376,n1))
| ~ leq(n0,X1)
| init = a_select2(s_values7_init,X1) ),
inference(cnf_transformation,[],[f259]) ).
fof(f502,plain,
( leq(sK34,minus(pv1376,n1))
| leq(sK33,n3) ),
inference(resolution,[],[f411,f493]) ).
fof(f493,plain,
( sP4
| leq(sK34,minus(pv1376,n1)) ),
inference(subsumption_resolution,[],[f492,f429]) ).
fof(f492,plain,
( ~ leq(n0,pv19)
| sP4
| leq(sK34,minus(pv1376,n1)) ),
inference(subsumption_resolution,[],[f491,f424]) ).
fof(f491,plain,
( leq(sK34,minus(pv1376,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| ~ leq(n0,pv19) ),
inference(subsumption_resolution,[],[f490,f419]) ).
fof(f490,plain,
( sP4
| ~ leq(pv1376,n3)
| ~ leq(n0,pv19)
| leq(sK34,minus(pv1376,n1))
| ~ leq(pv20,minus(n330,n1)) ),
inference(subsumption_resolution,[],[f489,f423]) ).
fof(f489,plain,
( ~ leq(n0,pv1376)
| sP4
| ~ leq(n0,pv19)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| leq(sK34,minus(pv1376,n1)) ),
inference(subsumption_resolution,[],[f488,f417]) ).
fof(f488,plain,
( ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| sP4
| ~ leq(n0,pv1376)
| leq(sK34,minus(pv1376,n1)) ),
inference(subsumption_resolution,[],[f487,f425]) ).
fof(f487,plain,
( ~ leq(n0,pv7)
| leq(sK34,minus(pv1376,n1))
| ~ leq(pv1376,n3)
| sP4
| ~ leq(n0,pv1376)
| ~ leq(n0,pv19)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1)) ),
inference(subsumption_resolution,[],[f486,f416]) ).
fof(f486,plain,
( ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| leq(sK34,minus(pv1376,n1))
| ~ leq(pv1376,n3)
| ~ leq(n0,pv7)
| ~ leq(pv20,minus(n330,n1))
| sP4 ),
inference(subsumption_resolution,[],[f468,f418]) ).
fof(f468,plain,
( ~ leq(pv7,minus(n410,n1))
| leq(sK34,minus(pv1376,n1))
| ~ leq(n0,pv19)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv7)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| sP4 ),
inference(trivial_inequality_removal,[],[f428]) ).
fof(f428,plain,
( ~ leq(pv7,minus(n410,n1))
| ~ leq(n0,pv1376)
| ~ leq(n0,pv19)
| leq(sK34,minus(pv1376,n1))
| sP4
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| init != init
| ~ leq(pv1376,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv7) ),
inference(cnf_transformation,[],[f259]) ).
fof(f546,plain,
( ~ leq(sK33,n3)
| init = a_select3(simplex7_init,sK33,sK32) ),
inference(resolution,[],[f539,f516]) ).
fof(f516,plain,
leq(n0,sK33),
inference(subsumption_resolution,[],[f513,f509]) ).
fof(f509,plain,
( leq(n0,sK33)
| init != a_select2(s_values7_init,sK34) ),
inference(resolution,[],[f413,f485]) ).
fof(f413,plain,
( ~ sP4
| leq(n0,sK33) ),
inference(cnf_transformation,[],[f256]) ).
fof(f513,plain,
( leq(n0,sK33)
| init = a_select2(s_values7_init,sK34) ),
inference(subsumption_resolution,[],[f512,f510]) ).
fof(f510,plain,
( leq(n0,sK34)
| leq(n0,sK33) ),
inference(resolution,[],[f413,f477]) ).
fof(f512,plain,
( ~ leq(n0,sK34)
| leq(n0,sK33)
| init = a_select2(s_values7_init,sK34) ),
inference(resolution,[],[f508,f421]) ).
fof(f508,plain,
( leq(sK34,minus(pv1376,n1))
| leq(n0,sK33) ),
inference(resolution,[],[f413,f493]) ).
fof(f539,plain,
! [X0] :
( ~ leq(n0,X0)
| init = a_select3(simplex7_init,X0,sK32)
| ~ leq(X0,n3) ),
inference(subsumption_resolution,[],[f538,f526]) ).
fof(f526,plain,
leq(n0,sK32),
inference(subsumption_resolution,[],[f524,f520]) ).
fof(f520,plain,
( leq(n0,sK32)
| init != a_select2(s_values7_init,sK34) ),
inference(resolution,[],[f414,f485]) ).
fof(f414,plain,
( ~ sP4
| leq(n0,sK32) ),
inference(cnf_transformation,[],[f256]) ).
fof(f524,plain,
( leq(n0,sK32)
| init = a_select2(s_values7_init,sK34) ),
inference(subsumption_resolution,[],[f523,f521]) ).
fof(f521,plain,
( leq(n0,sK34)
| leq(n0,sK32) ),
inference(resolution,[],[f414,f477]) ).
fof(f523,plain,
( init = a_select2(s_values7_init,sK34)
| leq(n0,sK32)
| ~ leq(n0,sK34) ),
inference(resolution,[],[f519,f421]) ).
fof(f519,plain,
( leq(sK34,minus(pv1376,n1))
| leq(n0,sK32) ),
inference(resolution,[],[f414,f493]) ).
fof(f538,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n3)
| init = a_select3(simplex7_init,X0,sK32)
| ~ leq(n0,sK32) ),
inference(resolution,[],[f537,f420]) ).
fof(f420,plain,
! [X2,X3] :
( ~ leq(X2,n2)
| ~ leq(n0,X2)
| ~ leq(X3,n3)
| init = a_select3(simplex7_init,X3,X2)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f259]) ).
fof(f537,plain,
leq(sK32,n2),
inference(subsumption_resolution,[],[f534,f529]) ).
fof(f529,plain,
( leq(sK32,n2)
| init != a_select2(s_values7_init,sK34) ),
inference(resolution,[],[f415,f485]) ).
fof(f415,plain,
( ~ sP4
| leq(sK32,n2) ),
inference(cnf_transformation,[],[f256]) ).
fof(f534,plain,
( leq(sK32,n2)
| init = a_select2(s_values7_init,sK34) ),
inference(subsumption_resolution,[],[f533,f530]) ).
fof(f530,plain,
( leq(sK32,n2)
| leq(n0,sK34) ),
inference(resolution,[],[f415,f477]) ).
fof(f533,plain,
( ~ leq(n0,sK34)
| leq(sK32,n2)
| init = a_select2(s_values7_init,sK34) ),
inference(resolution,[],[f528,f421]) ).
fof(f528,plain,
( leq(sK34,minus(pv1376,n1))
| leq(sK32,n2) ),
inference(resolution,[],[f415,f493]) ).
fof(f412,plain,
( init != a_select3(simplex7_init,sK33,sK32)
| ~ sP4 ),
inference(cnf_transformation,[],[f256]) ).
fof(f668,plain,
init = a_select2(s_values7_init,sK34),
inference(subsumption_resolution,[],[f667,f662]) ).
fof(f662,plain,
leq(n0,sK34),
inference(resolution,[],[f659,f477]) ).
fof(f667,plain,
( init = a_select2(s_values7_init,sK34)
| ~ leq(n0,sK34) ),
inference(resolution,[],[f660,f421]) ).
fof(f660,plain,
leq(sK34,minus(pv1376,n1)),
inference(resolution,[],[f659,f493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 18:57:07 EDT 2022
% 0.16/0.32 % CPUTime :
% 0.16/0.46 % (28642)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.48 % (28659)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.49 % (28660)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.49 % (28651)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.49 % (28652)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.49 % (28638)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.50 % (28644)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50 % (28663)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.50 % (28637)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.50 % (28643)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (28645)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51 % (28644)Instruction limit reached!
% 0.16/0.51 % (28644)------------------------------
% 0.16/0.51 % (28644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (28644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (28645)Instruction limit reached!
% 0.16/0.51 % (28645)------------------------------
% 0.16/0.51 % (28645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (28645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (28645)Termination reason: Unknown
% 0.16/0.51 % (28645)Termination phase: Unused predicate definition removal
% 0.16/0.51
% 0.16/0.51 % (28645)Memory used [KB]: 1023
% 0.16/0.51 % (28645)Time elapsed: 0.003 s
% 0.16/0.51 % (28645)Instructions burned: 2 (million)
% 0.16/0.51 % (28644)Termination reason: Unknown
% 0.16/0.51 % (28644)Termination phase: Function definition elimination
% 0.16/0.51
% 0.16/0.51 % (28644)Memory used [KB]: 1151
% 0.16/0.51 % (28644)Time elapsed: 0.012 s
% 0.16/0.51 % (28644)Instructions burned: 7 (million)
% 0.16/0.51 % (28644)------------------------------
% 0.16/0.51 % (28644)------------------------------
% 0.16/0.51 % (28646)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (28639)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.52 % (28661)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.52 % (28659)First to succeed.
% 0.16/0.52 % (28640)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52 % (28647)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.53 % (28657)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.53 % (28658)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.53 % (28645)------------------------------
% 0.16/0.53 % (28645)------------------------------
% 0.16/0.54 % (28659)Refutation found. Thanks to Tanya!
% 0.16/0.54 % SZS status Theorem for theBenchmark
% 0.16/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.54 % (28659)------------------------------
% 0.16/0.54 % (28659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (28659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (28659)Termination reason: Refutation
% 0.16/0.54
% 0.16/0.54 % (28659)Memory used [KB]: 1407
% 0.16/0.54 % (28659)Time elapsed: 0.125 s
% 0.16/0.54 % (28659)Instructions burned: 23 (million)
% 0.16/0.54 % (28659)------------------------------
% 0.16/0.54 % (28659)------------------------------
% 0.16/0.54 % (28636)Success in time 0.208 s
%------------------------------------------------------------------------------