TSTP Solution File: SWV064+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV064+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Sun May 5 10:42:41 EDT 2024
% Result : Theorem 0.15s 0.34s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 94
% Syntax : Number of formulae : 229 ( 155 unt; 0 def)
% Number of atoms : 363 ( 54 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 190 ( 56 ~; 46 |; 34 &)
% ( 51 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 55 ( 53 usr; 52 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f771,plain,
$false,
inference(avatar_sat_refutation,[],[f469,f474,f479,f484,f489,f494,f499,f504,f509,f514,f519,f524,f529,f534,f539,f544,f549,f554,f559,f564,f569,f574,f579,f584,f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f643,f647,f652,f657,f661,f666,f671,f676,f681,f691,f697,f712,f717,f721,f762,f768,f770]) ).
fof(f770,plain,
( ~ spl40_37
| spl40_51 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f769,plain,
( $false
| ~ spl40_37
| spl40_51 ),
inference(resolution,[],[f767,f646]) ).
fof(f646,plain,
( ! [X0] : leq(X0,X0)
| ~ spl40_37 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl40_37
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_37])]) ).
fof(f767,plain,
( ~ leq(tptp_float_0_0,tptp_float_0_0)
| spl40_51 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f765,plain,
( spl40_51
<=> leq(tptp_float_0_0,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_51])]) ).
fof(f768,plain,
( ~ spl40_51
| ~ spl40_46
| spl40_50 ),
inference(avatar_split_clause,[],[f763,f759,f694,f765]) ).
fof(f694,plain,
( spl40_46
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_46])]) ).
fof(f759,plain,
( spl40_50
<=> leq(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_50])]) ).
fof(f763,plain,
( ~ leq(tptp_float_0_0,tptp_float_0_0)
| ~ spl40_46
| spl40_50 ),
inference(forward_demodulation,[],[f761,f696]) ).
fof(f696,plain,
( n0 = tptp_float_0_0
| ~ spl40_46 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f761,plain,
( ~ leq(n0,n0)
| spl40_50 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f762,plain,
( ~ spl40_50
| ~ spl40_1
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_5
| ~ spl40_6 ),
inference(avatar_split_clause,[],[f259,f491,f486,f481,f476,f471,f466,f759]) ).
fof(f466,plain,
( spl40_1
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f471,plain,
( spl40_2
<=> leq(n0,pv53) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).
fof(f476,plain,
( spl40_3
<=> leq(n0,pv54) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f481,plain,
( spl40_4
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f486,plain,
( spl40_5
<=> leq(pv53,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f491,plain,
( spl40_6
<=> leq(pv54,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_6])]) ).
fof(f259,plain,
( ~ leq(pv54,minus(n5,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv54)
| ~ leq(n0,pv53)
| ~ leq(n0,pv10)
| ~ leq(n0,n0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( ~ leq(pv54,minus(n5,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv54)
| ~ leq(n0,pv53)
| ~ leq(n0,pv10)
| ~ leq(n0,n0) )
& leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
( ( ~ leq(pv54,minus(n5,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv54)
| ~ leq(n0,pv53)
| ~ leq(n0,pv10)
| ~ leq(n0,n0) )
& leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10)
& leq(n0,n0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10) )
=> ( leq(pv54,minus(n5,n1))
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv54)
& leq(n0,pv53)
& leq(n0,pv10)
& leq(n0,n0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0005) ).
fof(f721,plain,
( spl40_49
| ~ spl40_46
| ~ spl40_47 ),
inference(avatar_split_clause,[],[f713,f710,f694,f719]) ).
fof(f719,plain,
( spl40_49
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_49])]) ).
fof(f710,plain,
( spl40_47
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_47])]) ).
fof(f713,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl40_46
| ~ spl40_47 ),
inference(forward_demodulation,[],[f711,f696]) ).
fof(f711,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl40_47 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f717,plain,
spl40_48,
inference(avatar_split_clause,[],[f323,f715]) ).
fof(f715,plain,
( spl40_48
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_48])]) ).
fof(f323,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f712,plain,
spl40_47,
inference(avatar_split_clause,[],[f304,f710]) ).
fof(f304,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X22] : sum(n0,tptp_minus_1,X22) = tptp_float_0_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base_float) ).
fof(f697,plain,
( spl40_46
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f692,f689,f694]) ).
fof(f689,plain,
( spl40_45
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_45])]) ).
fof(f692,plain,
( n0 = tptp_float_0_0
| ~ spl40_45 ),
inference(forward_demodulation,[],[f690,f304]) ).
fof(f690,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl40_45 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f691,plain,
spl40_45,
inference(avatar_split_clause,[],[f300,f689]) ).
fof(f300,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f681,plain,
spl40_44,
inference(avatar_split_clause,[],[f456,f678]) ).
fof(f678,plain,
( spl40_44
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_44])]) ).
fof(f456,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f455,f452]) ).
fof(f452,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f451,f449]) ).
fof(f449,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f448,f447]) ).
fof(f447,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f420,f418]) ).
fof(f418,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f289,f301]) ).
fof(f301,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f289,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f420,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f291,f301,f301]) ).
fof(f291,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f448,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f421,f418]) ).
fof(f421,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f292,f301,f301,f301]) ).
fof(f292,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f451,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f450,f447]) ).
fof(f450,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f422,f418]) ).
fof(f422,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f293,f301,f301,f301,f301]) ).
fof(f293,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f455,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f454,f449]) ).
fof(f454,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f453,f447]) ).
fof(f453,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f423,f418]) ).
fof(f423,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f294,f301,f301,f301,f301,f301]) ).
fof(f294,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f90,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f676,plain,
spl40_43,
inference(avatar_split_clause,[],[f452,f673]) ).
fof(f673,plain,
( spl40_43
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_43])]) ).
fof(f671,plain,
spl40_42,
inference(avatar_split_clause,[],[f449,f668]) ).
fof(f668,plain,
( spl40_42
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_42])]) ).
fof(f666,plain,
spl40_41,
inference(avatar_split_clause,[],[f447,f663]) ).
fof(f663,plain,
( spl40_41
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_41])]) ).
fof(f661,plain,
spl40_40,
inference(avatar_split_clause,[],[f424,f659]) ).
fof(f659,plain,
( spl40_40
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_40])]) ).
fof(f424,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f297,f301]) ).
fof(f297,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ) ).
fof(f657,plain,
spl40_39,
inference(avatar_split_clause,[],[f419,f654]) ).
fof(f654,plain,
( spl40_39
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_39])]) ).
fof(f419,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f290,f301]) ).
fof(f290,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f652,plain,
spl40_38,
inference(avatar_split_clause,[],[f418,f649]) ).
fof(f649,plain,
( spl40_38
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_38])]) ).
fof(f647,plain,
spl40_37,
inference(avatar_split_clause,[],[f296,f645]) ).
fof(f296,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f643,plain,
spl40_36,
inference(avatar_split_clause,[],[f295,f641]) ).
fof(f641,plain,
( spl40_36
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_36])]) ).
fof(f295,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f639,plain,
spl40_35,
inference(avatar_split_clause,[],[f288,f636]) ).
fof(f636,plain,
( spl40_35
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_35])]) ).
fof(f288,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f634,plain,
spl40_34,
inference(avatar_split_clause,[],[f287,f631]) ).
fof(f631,plain,
( spl40_34
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_34])]) ).
fof(f287,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f629,plain,
spl40_33,
inference(avatar_split_clause,[],[f286,f626]) ).
fof(f626,plain,
( spl40_33
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_33])]) ).
fof(f286,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f624,plain,
spl40_32,
inference(avatar_split_clause,[],[f285,f621]) ).
fof(f621,plain,
( spl40_32
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_32])]) ).
fof(f285,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f619,plain,
spl40_31,
inference(avatar_split_clause,[],[f284,f616]) ).
fof(f616,plain,
( spl40_31
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_31])]) ).
fof(f284,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(f614,plain,
spl40_30,
inference(avatar_split_clause,[],[f283,f611]) ).
fof(f611,plain,
( spl40_30
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_30])]) ).
fof(f283,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(f609,plain,
spl40_29,
inference(avatar_split_clause,[],[f282,f606]) ).
fof(f606,plain,
( spl40_29
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_29])]) ).
fof(f282,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f604,plain,
spl40_28,
inference(avatar_split_clause,[],[f281,f601]) ).
fof(f601,plain,
( spl40_28
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_28])]) ).
fof(f281,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f599,plain,
spl40_27,
inference(avatar_split_clause,[],[f280,f596]) ).
fof(f596,plain,
( spl40_27
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_27])]) ).
fof(f280,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f594,plain,
spl40_26,
inference(avatar_split_clause,[],[f279,f591]) ).
fof(f591,plain,
( spl40_26
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_26])]) ).
fof(f279,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f589,plain,
spl40_25,
inference(avatar_split_clause,[],[f278,f586]) ).
fof(f586,plain,
( spl40_25
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_25])]) ).
fof(f278,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f584,plain,
spl40_24,
inference(avatar_split_clause,[],[f277,f581]) ).
fof(f581,plain,
( spl40_24
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_24])]) ).
fof(f277,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f579,plain,
spl40_23,
inference(avatar_split_clause,[],[f276,f576]) ).
fof(f576,plain,
( spl40_23
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_23])]) ).
fof(f276,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f574,plain,
spl40_22,
inference(avatar_split_clause,[],[f275,f571]) ).
fof(f571,plain,
( spl40_22
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_22])]) ).
fof(f275,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f569,plain,
spl40_21,
inference(avatar_split_clause,[],[f274,f566]) ).
fof(f566,plain,
( spl40_21
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_21])]) ).
fof(f274,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f564,plain,
spl40_20,
inference(avatar_split_clause,[],[f273,f561]) ).
fof(f561,plain,
( spl40_20
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_20])]) ).
fof(f273,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f559,plain,
spl40_19,
inference(avatar_split_clause,[],[f272,f556]) ).
fof(f556,plain,
( spl40_19
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_19])]) ).
fof(f272,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f554,plain,
spl40_18,
inference(avatar_split_clause,[],[f271,f551]) ).
fof(f551,plain,
( spl40_18
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_18])]) ).
fof(f271,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f549,plain,
spl40_17,
inference(avatar_split_clause,[],[f270,f546]) ).
fof(f546,plain,
( spl40_17
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_17])]) ).
fof(f270,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f544,plain,
spl40_16,
inference(avatar_split_clause,[],[f269,f541]) ).
fof(f541,plain,
( spl40_16
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_16])]) ).
fof(f269,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f539,plain,
spl40_15,
inference(avatar_split_clause,[],[f268,f536]) ).
fof(f536,plain,
( spl40_15
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_15])]) ).
fof(f268,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f534,plain,
spl40_14,
inference(avatar_split_clause,[],[f267,f531]) ).
fof(f531,plain,
( spl40_14
<=> gt(n135300,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_14])]) ).
fof(f267,plain,
gt(n135300,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135300,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_0) ).
fof(f529,plain,
spl40_13,
inference(avatar_split_clause,[],[f266,f526]) ).
fof(f526,plain,
( spl40_13
<=> gt(n135300,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_13])]) ).
fof(f266,plain,
gt(n135300,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135300,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_1) ).
fof(f524,plain,
spl40_12,
inference(avatar_split_clause,[],[f265,f521]) ).
fof(f521,plain,
( spl40_12
<=> gt(n135300,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_12])]) ).
fof(f265,plain,
gt(n135300,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135300,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_5) ).
fof(f519,plain,
spl40_11,
inference(avatar_split_clause,[],[f264,f516]) ).
fof(f516,plain,
( spl40_11
<=> gt(n135300,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_11])]) ).
fof(f264,plain,
gt(n135300,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135300,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_2) ).
fof(f514,plain,
spl40_10,
inference(avatar_split_clause,[],[f263,f511]) ).
fof(f511,plain,
( spl40_10
<=> gt(n135300,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_10])]) ).
fof(f263,plain,
gt(n135300,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135300,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_3) ).
fof(f509,plain,
spl40_9,
inference(avatar_split_clause,[],[f262,f506]) ).
fof(f506,plain,
( spl40_9
<=> gt(n135300,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_9])]) ).
fof(f262,plain,
gt(n135300,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135300,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_4) ).
fof(f504,plain,
spl40_8,
inference(avatar_split_clause,[],[f261,f501]) ).
fof(f501,plain,
( spl40_8
<=> gt(n135300,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_8])]) ).
fof(f261,plain,
gt(n135300,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135300,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_tptp_minus_1) ).
fof(f499,plain,
~ spl40_7,
inference(avatar_split_clause,[],[f260,f496]) ).
fof(f496,plain,
( spl40_7
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl40_7])]) ).
fof(f260,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f494,plain,
spl40_6,
inference(avatar_split_clause,[],[f258,f491]) ).
fof(f258,plain,
leq(pv54,minus(n5,n1)),
inference(cnf_transformation,[],[f116]) ).
fof(f489,plain,
spl40_5,
inference(avatar_split_clause,[],[f257,f486]) ).
fof(f257,plain,
leq(pv53,minus(n5,n1)),
inference(cnf_transformation,[],[f116]) ).
fof(f484,plain,
spl40_4,
inference(avatar_split_clause,[],[f256,f481]) ).
fof(f256,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f116]) ).
fof(f479,plain,
spl40_3,
inference(avatar_split_clause,[],[f255,f476]) ).
fof(f255,plain,
leq(n0,pv54),
inference(cnf_transformation,[],[f116]) ).
fof(f474,plain,
spl40_2,
inference(avatar_split_clause,[],[f254,f471]) ).
fof(f254,plain,
leq(n0,pv53),
inference(cnf_transformation,[],[f116]) ).
fof(f469,plain,
spl40_1,
inference(avatar_split_clause,[],[f253,f466]) ).
fof(f253,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV064+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 21:13:22 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.31 % (11391)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (11392)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (11394)WARNING: value z3 for option sas not known
% 0.15/0.33 % (11394)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 % (11395)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (11398)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.33 % (11396)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.33 % (11393)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (11397)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.34 % (11396)First to succeed.
% 0.15/0.34 % (11396)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11391"
% 0.15/0.34 % (11396)Refutation found. Thanks to Tanya!
% 0.15/0.34 % SZS status Theorem for theBenchmark
% 0.15/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34 % (11396)------------------------------
% 0.15/0.34 % (11396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.34 % (11396)Termination reason: Refutation
% 0.15/0.34
% 0.15/0.34 % (11396)Memory used [KB]: 1240
% 0.15/0.34 % (11396)Time elapsed: 0.013 s
% 0.15/0.34 % (11396)Instructions burned: 22 (million)
% 0.15/0.34 % (11391)Success in time 0.029 s
%------------------------------------------------------------------------------