TSTP Solution File: ANA140_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA140_1 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 04:32:30 EDT 2024
% Result : Theorem 0.17s 0.36s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 395 ( 177 unt; 4 typ; 0 def)
% Number of atoms : 774 ( 75 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 713 ( 330 ~; 311 |; 52 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 2691 ( 641 atm; 892 fun; 654 num; 504 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 3 usr; 12 con; 0-2 aty)
% Number of variables : 504 ( 491 !; 13 ?; 504 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $real ).
tff(func_def_6,type,
sK1: $real ).
tff(func_def_7,type,
sK2: $real > $real ).
tff(pred_def_3,type,
sP0: ( $real * $real ) > $o ).
tff(f819,plain,
$false,
inference(subsumption_resolution,[],[f818,f28]) ).
tff(f28,plain,
$less(0.0,sK1),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ! [X1: $real] :
( ( sP0(sK1,sK2(X1))
& ( $less($uminus($sum(sK2(X1),$uminus(a))),X1)
| ~ $less($sum(sK2(X1),$uminus(a)),0.0) )
& ( $less($sum(sK2(X1),$uminus(a)),X1)
| $less($sum(sK2(X1),$uminus(a)),0.0) )
& ( a != sK2(X1) ) )
| ~ $less(0.0,X1) )
& $less(0.0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f18,f22,f21]) ).
tff(f21,plain,
( ? [X0: $real] :
( ! [X1: $real] :
( ? [X2: $real] :
( sP0(X0,X2)
& ( $less($uminus($sum(X2,$uminus(a))),X1)
| ~ $less($sum(X2,$uminus(a)),0.0) )
& ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0.0) )
& ( a != X2 ) )
| ~ $less(0.0,X1) )
& $less(0.0,X0) )
=> ( ! [X1: $real] :
( ? [X2: $real] :
( sP0(sK1,X2)
& ( $less($uminus($sum(X2,$uminus(a))),X1)
| ~ $less($sum(X2,$uminus(a)),0.0) )
& ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0.0) )
& ( a != X2 ) )
| ~ $less(0.0,X1) )
& $less(0.0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
! [X1: $real] :
( ? [X2: $real] :
( sP0(sK1,X2)
& ( $less($uminus($sum(X2,$uminus(a))),X1)
| ~ $less($sum(X2,$uminus(a)),0.0) )
& ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0.0) )
& ( a != X2 ) )
=> ( sP0(sK1,sK2(X1))
& ( $less($uminus($sum(sK2(X1),$uminus(a))),X1)
| ~ $less($sum(sK2(X1),$uminus(a)),0.0) )
& ( $less($sum(sK2(X1),$uminus(a)),X1)
| $less($sum(sK2(X1),$uminus(a)),0.0) )
& ( a != sK2(X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $real] :
( ! [X1: $real] :
( ? [X2: $real] :
( sP0(X0,X2)
& ( $less($uminus($sum(X2,$uminus(a))),X1)
| ~ $less($sum(X2,$uminus(a)),0.0) )
& ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0.0) )
& ( a != X2 ) )
| ~ $less(0.0,X1) )
& $less(0.0,X0) ),
inference(definition_folding,[],[f16,f17]) ).
tff(f17,plain,
! [X0: $real,X2: $real] :
( ( ~ $less($uminus($sum(X2,$uminus(a))),X0)
& $less($sum(X2,$uminus(a)),0.0) )
| ( ~ $less($sum(X2,$uminus(a)),X0)
& ~ $less($sum(X2,$uminus(a)),0.0) )
| ~ sP0(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f16,plain,
? [X0: $real] :
( ! [X1: $real] :
( ? [X2: $real] :
( ( ( ~ $less($uminus($sum(X2,$uminus(a))),X0)
& $less($sum(X2,$uminus(a)),0.0) )
| ( ~ $less($sum(X2,$uminus(a)),X0)
& ~ $less($sum(X2,$uminus(a)),0.0) ) )
& ( $less($uminus($sum(X2,$uminus(a))),X1)
| ~ $less($sum(X2,$uminus(a)),0.0) )
& ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0.0) )
& ( a != X2 ) )
| ~ $less(0.0,X1) )
& $less(0.0,X0) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $real] :
( ! [X1: $real] :
( ? [X2: $real] :
( ( ( ~ $less($uminus($sum(X2,$uminus(a))),X0)
& $less($sum(X2,$uminus(a)),0.0) )
| ( ~ $less($sum(X2,$uminus(a)),X0)
& ~ $less($sum(X2,$uminus(a)),0.0) ) )
& ( $less($uminus($sum(X2,$uminus(a))),X1)
| ~ $less($sum(X2,$uminus(a)),0.0) )
& ( $less($sum(X2,$uminus(a)),X1)
| $less($sum(X2,$uminus(a)),0.0) )
& ( a != X2 ) )
| ~ $less(0.0,X1) )
& $less(0.0,X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real] :
( $less(0.0,X0)
=> ? [X1: $real] :
( ! [X2: $real] :
( ( ( $less($sum(X2,$uminus(a)),0.0)
=> $less($uminus($sum(X2,$uminus(a))),X1) )
& ( ~ $less($sum(X2,$uminus(a)),0.0)
=> $less($sum(X2,$uminus(a)),X1) )
& ( a != X2 ) )
=> ( ( $less($sum(X2,$uminus(a)),0.0)
=> $less($uminus($sum(X2,$uminus(a))),X0) )
& ( ~ $less($sum(X2,$uminus(a)),0.0)
=> $less($sum(X2,$uminus(a)),X0) ) ) )
& $less(0.0,X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( $less(0.0,X0)
=> ? [X1: $real] :
( ! [X2: $real] :
( ( ( ~ $greatereq($difference(X2,a),0.0)
=> $less($uminus($difference(X2,a)),X1) )
& ( $greatereq($difference(X2,a),0.0)
=> $less($difference(X2,a),X1) )
& ( a != X2 ) )
=> ( ( ~ $greatereq($difference(X2,a),0.0)
=> $less($uminus($difference(X2,a)),X0) )
& ( $greatereq($difference(X2,a),0.0)
=> $less($difference(X2,a),X0) ) ) )
& $less(0.0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( $less(0.0,X0)
=> ? [X1: $real] :
( ! [X2: $real] :
( ( ( ~ $greatereq($difference(X2,a),0.0)
=> $less($uminus($difference(X2,a)),X1) )
& ( $greatereq($difference(X2,a),0.0)
=> $less($difference(X2,a),X1) )
& ( a != X2 ) )
=> ( ( ~ $greatereq($difference(X2,a),0.0)
=> $less($uminus($difference(X2,a)),X0) )
& ( $greatereq($difference(X2,a),0.0)
=> $less($difference(X2,a),X0) ) ) )
& $less(0.0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).
tff(f818,plain,
~ $less(0.0,sK1),
inference(duplicate_literal_removal,[],[f817]) ).
tff(f817,plain,
( ~ $less(0.0,sK1)
| ~ $less(0.0,sK1) ),
inference(resolution,[],[f665,f32]) ).
tff(f32,plain,
! [X1: $real] :
( sP0(sK1,sK2(X1))
| ~ $less(0.0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f665,plain,
! [X0: $real] :
( ~ sP0(X0,sK2(X0))
| ~ $less(0.0,X0) ),
inference(global_subsumption,[],[f27,f30,f28,f9,f6,f14,f29,f32,f8,f33,f4,f13,f47,f45,f51,f50,f10,f58,f60,f57,f61,f49,f64,f67,f65,f68,f69,f62,f72,f73,f81,f82,f74,f80,f90,f91,f92,f11,f95,f96,f99,f100,f102,f103,f106,f107,f84,f110,f70,f116,f117,f119,f120,f130,f131,f121,f46,f140,f141,f142,f143,f151,f155,f7,f156,f157,f160,f161,f164,f165,f59,f173,f174,f175,f176,f177,f179,f172,f193,f190,f196,f198,f199,f195,f200,f202,f201,f203,f197,f206,f189,f222,f221,f220,f192,f223,f224,f225,f229,f12,f232,f233,f234,f236,f237,f238,f239,f240,f242,f243,f244,f245,f246,f194,f263,f261,f256,f265,f266,f257,f268,f269,f267,f272,f228,f273,f274,f275,f260,f294,f293,f292,f5,f324,f299,f300,f323,f302,f305,f306,f307,f308,f309,f310,f311,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f262,f327,f328,f329,f333,f264,f349,f346,f341,f350,f351,f342,f353,f354,f352,f357,f332,f358,f359,f360,f364,f345,f382,f381,f380,f379,f347,f385,f386,f387,f391,f348,f407,f404,f399,f408,f409,f400,f411,f412,f410,f415,f365,f416,f417,f418,f419,f420,f390,f421,f422,f423,f427,f403,f444,f443,f442,f441,f405,f447,f448,f449,f453,f406,f469,f466,f461,f470,f471,f462,f473,f474,f472,f477,f31,f478,f479,f480,f481,f482,f452,f483,f484,f485,f489,f465,f506,f505,f504,f503,f467,f509,f510,f511,f515,f468,f531,f528,f523,f532,f533,f524,f535,f536,f25,f537,f538,f539,f540,f542,f543,f544,f545,f546,f547,f548,f549,f550,f566,f567,f568,f569,f570,f556,f557,f572,f560,f561,f573,f575,f576,f534,f579,f514,f580,f581,f582,f588,f587,f527,f605,f604,f603,f602,f529,f608,f609,f610,f611,f614,f615,f530,f631,f630,f629,f623,f624,f627,f628,f26,f664]) ).
tff(f664,plain,
! [X0: $real] :
( ~ $less($sum(sK2(X0),$uminus(a)),0.0)
| ~ sP0(X0,sK2(X0))
| ~ $less(0.0,X0) ),
inference(duplicate_literal_removal,[],[f632]) ).
tff(f632,plain,
! [X0: $real] :
( ~ $less($sum(sK2(X0),$uminus(a)),0.0)
| ~ sP0(X0,sK2(X0))
| ~ $less($sum(sK2(X0),$uminus(a)),0.0)
| ~ $less(0.0,X0) ),
inference(resolution,[],[f26,f31]) ).
tff(f26,plain,
! [X0: $real,X1: $real] :
( ~ $less($uminus($sum(X1,$uminus(a))),X0)
| ~ $less($sum(X1,$uminus(a)),0.0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: $real,X1: $real] :
( ( ~ $less($uminus($sum(X1,$uminus(a))),X0)
& $less($sum(X1,$uminus(a)),0.0) )
| ( ~ $less($sum(X1,$uminus(a)),X0)
& ~ $less($sum(X1,$uminus(a)),0.0) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
! [X0: $real,X2: $real] :
( ( ~ $less($uminus($sum(X2,$uminus(a))),X0)
& $less($sum(X2,$uminus(a)),0.0) )
| ( ~ $less($sum(X2,$uminus(a)),X0)
& ~ $less($sum(X2,$uminus(a)),0.0) )
| ~ sP0(X0,X2) ),
inference(nnf_transformation,[],[f17]) ).
tff(f628,plain,
! [X0: $real] : ~ $less($sum(X0,7.0),X0),
inference(superposition,[],[f530,f4]) ).
tff(f627,plain,
! [X0: $real] : ~ $less($sum(X0,7.0),X0),
inference(superposition,[],[f530,f4]) ).
tff(f624,plain,
~ $less($sum(7.0,sK1),0.0),
inference(resolution,[],[f530,f57]) ).
tff(f623,plain,
~ $less($sum(7.0,sK1),-1.0),
inference(resolution,[],[f530,f68]) ).
tff(f629,plain,
! [X0: $real] : $less(X0,$sum(8.0,X0)),
inference(evaluation,[],[f621]) ).
tff(f621,plain,
! [X0: $real] : $less(X0,$sum(7.0,$sum(X0,1.0))),
inference(resolution,[],[f530,f13]) ).
tff(f630,plain,
! [X0: $real] : ~ $less($sum(8.0,X0),X0),
inference(evaluation,[],[f620]) ).
tff(f620,plain,
! [X0: $real] : ~ $less($sum(7.0,$sum(X0,1.0)),X0),
inference(resolution,[],[f530,f59]) ).
tff(f631,plain,
! [X0: $real] : $less(X0,$sum(8.0,X0)),
inference(evaluation,[],[f619]) ).
tff(f619,plain,
! [X0: $real] : $less(X0,$sum(7.0,$sum(1.0,X0))),
inference(resolution,[],[f530,f46]) ).
tff(f530,plain,
! [X0: $real] : ~ $less($sum(7.0,X0),X0),
inference(evaluation,[],[f520]) ).
tff(f520,plain,
! [X0: $real] : ~ $less($sum(6.0,$sum(X0,1.0)),X0),
inference(resolution,[],[f468,f59]) ).
tff(f615,plain,
! [X0: $real] : $less(X0,$sum(X0,7.0)),
inference(superposition,[],[f529,f4]) ).
tff(f614,plain,
! [X0: $real] : $less(X0,$sum(X0,7.0)),
inference(superposition,[],[f529,f4]) ).
tff(f611,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(7.0,$sum(X0,$uminus(a))),X0) ),
inference(resolution,[],[f529,f25]) ).
tff(f610,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(7.0,X1)) ),
inference(resolution,[],[f529,f10]) ).
tff(f609,plain,
! [X0: $real] :
( ~ $less($sum(7.0,X0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f529,f62]) ).
tff(f608,plain,
! [X0: $real] :
( ~ $less($sum(7.0,X0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f529,f70]) ).
tff(f529,plain,
! [X0: $real] : $less(X0,$sum(7.0,X0)),
inference(evaluation,[],[f521]) ).
tff(f521,plain,
! [X0: $real] : $less(X0,$sum(6.0,$sum(X0,1.0))),
inference(resolution,[],[f468,f13]) ).
tff(f602,plain,
! [X0: $real,X1: $real] : ~ $less($sum(X0,$sum(X1,6.0)),$sum(X0,X1)),
inference(superposition,[],[f527,f5]) ).
tff(f603,plain,
! [X0: $real] : $less(X0,$sum(7.0,X0)),
inference(evaluation,[],[f595]) ).
tff(f595,plain,
! [X0: $real] : $less(X0,$sum($sum(X0,1.0),6.0)),
inference(resolution,[],[f527,f13]) ).
tff(f604,plain,
! [X0: $real] : ~ $less($sum(7.0,X0),X0),
inference(evaluation,[],[f594]) ).
tff(f594,plain,
! [X0: $real] : ~ $less($sum($sum(X0,1.0),6.0),X0),
inference(resolution,[],[f527,f59]) ).
tff(f605,plain,
! [X0: $real] : $less(X0,$sum(7.0,X0)),
inference(evaluation,[],[f593]) ).
tff(f593,plain,
! [X0: $real] : $less(X0,$sum($sum(1.0,X0),6.0)),
inference(resolution,[],[f527,f46]) ).
tff(f527,plain,
! [X0: $real] : ~ $less($sum(X0,6.0),X0),
inference(superposition,[],[f468,f4]) ).
tff(f587,plain,
! [X0: $real,X1: $real] : $less($sum(X0,X1),$sum(X0,$sum(X1,6.0))),
inference(superposition,[],[f514,f5]) ).
tff(f588,plain,
! [X0: $real] :
( ~ sP0($sum(6.0,$sum(X0,$uminus(a))),X0)
| $less($sum(X0,$uminus(a)),0.0) ),
inference(forward_demodulation,[],[f583,f4]) ).
tff(f583,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum($sum(X0,$uminus(a)),6.0),X0) ),
inference(resolution,[],[f514,f25]) ).
tff(f582,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,6.0)) ),
inference(resolution,[],[f514,f10]) ).
tff(f581,plain,
! [X0: $real] :
( ~ $less($sum(X0,6.0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f514,f62]) ).
tff(f580,plain,
! [X0: $real] :
( ~ $less($sum(X0,6.0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f514,f70]) ).
tff(f514,plain,
! [X0: $real] : $less(X0,$sum(X0,6.0)),
inference(superposition,[],[f467,f4]) ).
tff(f579,plain,
! [X0: $real] :
( ~ $less(X0,-1.0)
| $less(X0,$sum(6.0,sK1)) ),
inference(resolution,[],[f534,f10]) ).
tff(f534,plain,
$less(-1.0,$sum(6.0,sK1)),
inference(resolution,[],[f524,f49]) ).
tff(f576,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum($uminus(a),$sum(X0,X1)),0.0)
| ~ $less($sum(X0,$sum(X1,$uminus(a))),X2)
| ~ sP0(X2,$sum(X0,X1)) ),
inference(forward_demodulation,[],[f564,f4]) ).
tff(f564,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less($sum(X0,$sum(X1,$uminus(a))),X2)
| $less($sum($sum(X0,X1),$uminus(a)),0.0)
| ~ sP0(X2,$sum(X0,X1)) ),
inference(superposition,[],[f25,f5]) ).
tff(f575,plain,
! [X0: $real] :
( ~ $less(0.0,X0)
| ~ sP0(X0,a) ),
inference(evaluation,[],[f574]) ).
tff(f574,plain,
! [X0: $real] :
( $less(0.0,0.0)
| ~ $less(0.0,X0)
| ~ sP0(X0,a) ),
inference(forward_demodulation,[],[f565,f8]) ).
tff(f565,plain,
! [X0: $real] :
( ~ $less(0.0,X0)
| $less($sum(a,$uminus(a)),0.0)
| ~ sP0(X0,a) ),
inference(evaluation,[],[f563]) ).
tff(f563,plain,
! [X0: $real] :
( ~ $less(0.0,X0)
| $less($sum($uminus($uminus(a)),$uminus(a)),0.0)
| ~ sP0(X0,$uminus($uminus(a))) ),
inference(superposition,[],[f25,f33]) ).
tff(f573,plain,
! [X0: $real,X1: $real] :
( $less($uminus($sum(a,X0)),0.0)
| ~ $less($uminus($sum(a,X0)),X1)
| ~ sP0(X1,$uminus(X0)) ),
inference(forward_demodulation,[],[f562,f7]) ).
tff(f562,plain,
! [X0: $real,X1: $real] :
( ~ $less($uminus($sum(a,X0)),X1)
| $less($sum($uminus(X0),$uminus(a)),0.0)
| ~ sP0(X1,$uminus(X0)) ),
inference(superposition,[],[f25,f7]) ).
tff(f561,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum($uminus(a),X0),X1)
| $less($sum(X0,$uminus(a)),0.0)
| ~ sP0(X1,X0) ),
inference(superposition,[],[f25,f4]) ).
tff(f560,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum($uminus(a),X0),X1)
| $less($sum(X0,$uminus(a)),0.0)
| ~ sP0(X1,X0) ),
inference(superposition,[],[f25,f4]) ).
tff(f572,plain,
! [X0: $real] :
( ~ $less(0.0,X0)
| ~ sP0(X0,a) ),
inference(evaluation,[],[f571]) ).
tff(f571,plain,
! [X0: $real] :
( $less(0.0,0.0)
| ~ $less(0.0,X0)
| ~ sP0(X0,a) ),
inference(forward_demodulation,[],[f559,f8]) ).
tff(f559,plain,
! [X0: $real] :
( ~ $less(0.0,X0)
| $less($sum(a,$uminus(a)),0.0)
| ~ sP0(X0,a) ),
inference(superposition,[],[f25,f8]) ).
tff(f557,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0(sK1,X0)
| ~ $less($sum(X0,$uminus(a)),-1.0) ),
inference(resolution,[],[f25,f68]) ).
tff(f556,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0(1.0,X0)
| $less(0.0,$sum(X0,$uminus(a))) ),
inference(resolution,[],[f25,f143]) ).
tff(f570,plain,
! [X0: $real] :
( ~ sP0($sum(5.0,$sum(X0,$uminus(a))),X0)
| $less($sum(X0,$uminus(a)),0.0) ),
inference(forward_demodulation,[],[f555,f4]) ).
tff(f555,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum($sum(X0,$uminus(a)),5.0),X0) ),
inference(resolution,[],[f25,f452]) ).
tff(f569,plain,
! [X0: $real] :
( ~ sP0($sum(4.0,$sum(X0,$uminus(a))),X0)
| $less($sum(X0,$uminus(a)),0.0) ),
inference(forward_demodulation,[],[f554,f4]) ).
tff(f554,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum($sum(X0,$uminus(a)),4.0),X0) ),
inference(resolution,[],[f25,f390]) ).
tff(f568,plain,
! [X0: $real] :
( ~ sP0($sum(3.0,$sum(X0,$uminus(a))),X0)
| $less($sum(X0,$uminus(a)),0.0) ),
inference(forward_demodulation,[],[f553,f4]) ).
tff(f553,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum($sum(X0,$uminus(a)),3.0),X0) ),
inference(resolution,[],[f25,f332]) ).
tff(f567,plain,
! [X0: $real] :
( ~ sP0($sum(2.0,$sum(X0,$uminus(a))),X0)
| $less($sum(X0,$uminus(a)),0.0) ),
inference(forward_demodulation,[],[f552,f4]) ).
tff(f552,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum($sum(X0,$uminus(a)),2.0),X0) ),
inference(resolution,[],[f25,f228]) ).
tff(f566,plain,
! [X0: $real] :
( ~ sP0($sum(1.0,$sum(X0,$uminus(a))),X0)
| $less($sum(X0,$uminus(a)),0.0) ),
inference(forward_demodulation,[],[f551,f4]) ).
tff(f551,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum($sum(X0,$uminus(a)),1.0),X0) ),
inference(resolution,[],[f25,f45]) ).
tff(f550,plain,
! [X0: $real,X1: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(X1,1.0),X0)
| $less(X1,$sum(X0,$uminus(a))) ),
inference(resolution,[],[f25,f13]) ).
tff(f549,plain,
! [X0: $real,X1: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(X1,1.0),X0)
| ~ $less($sum(X0,$uminus(a)),X1) ),
inference(resolution,[],[f25,f59]) ).
tff(f548,plain,
! [X0: $real,X1: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(1.0,X1),X0)
| $less(X1,$sum(X0,$uminus(a))) ),
inference(resolution,[],[f25,f46]) ).
tff(f547,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(6.0,$sum(X0,$uminus(a))),X0) ),
inference(resolution,[],[f25,f467]) ).
tff(f546,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(5.0,$sum(X0,$uminus(a))),X0) ),
inference(resolution,[],[f25,f405]) ).
tff(f545,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(4.0,$sum(X0,$uminus(a))),X0) ),
inference(resolution,[],[f25,f347]) ).
tff(f544,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(3.0,$sum(X0,$uminus(a))),X0) ),
inference(resolution,[],[f25,f262]) ).
tff(f543,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(2.0,$sum(X0,$uminus(a))),X0) ),
inference(resolution,[],[f25,f192]) ).
tff(f542,plain,
! [X0: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(1.0,$sum(X0,$uminus(a))),X0) ),
inference(resolution,[],[f25,f50]) ).
tff(f540,plain,
! [X0: $real,X1: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0(X1,X0)
| $less(X1,$sum(X0,$uminus(a)))
| ( $sum(X0,$uminus(a)) = X1 ) ),
inference(resolution,[],[f25,f11]) ).
tff(f539,plain,
! [X0: $real,X1: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0(X1,X0)
| $less(X1,$sum(X0,$uminus(a)))
| ( $sum(X0,$uminus(a)) = X1 ) ),
inference(resolution,[],[f25,f11]) ).
tff(f538,plain,
! [X0: $real] :
( $less($sum(sK2(X0),$uminus(a)),0.0)
| ~ sP0(X0,sK2(X0))
| ~ $less(0.0,X0) ),
inference(resolution,[],[f25,f365]) ).
tff(f537,plain,
! [X0: $real,X1: $real] :
( $less($sum(X0,$uminus(a)),0.0)
| ~ sP0($sum(X1,$uminus(a)),X0)
| ~ $less(X0,X1) ),
inference(resolution,[],[f25,f12]) ).
tff(f25,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(X1,$uminus(a)),X0)
| $less($sum(X1,$uminus(a)),0.0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f536,plain,
( $less(0.0,$sum(6.0,sK1))
| ( 0.0 = $sum(6.0,sK1) ) ),
inference(resolution,[],[f524,f11]) ).
tff(f535,plain,
( $less(0.0,$sum(6.0,sK1))
| ( 0.0 = $sum(6.0,sK1) ) ),
inference(resolution,[],[f524,f11]) ).
tff(f524,plain,
~ $less($sum(6.0,sK1),0.0),
inference(resolution,[],[f468,f57]) ).
tff(f533,plain,
( $less(-1.0,$sum(6.0,sK1))
| ( -1.0 = $sum(6.0,sK1) ) ),
inference(resolution,[],[f523,f11]) ).
tff(f532,plain,
( $less(-1.0,$sum(6.0,sK1))
| ( -1.0 = $sum(6.0,sK1) ) ),
inference(resolution,[],[f523,f11]) ).
tff(f523,plain,
~ $less($sum(6.0,sK1),-1.0),
inference(resolution,[],[f468,f68]) ).
tff(f528,plain,
! [X0: $real] : ~ $less($sum(X0,6.0),X0),
inference(superposition,[],[f468,f4]) ).
tff(f531,plain,
! [X0: $real] : $less(X0,$sum(7.0,X0)),
inference(evaluation,[],[f519]) ).
tff(f519,plain,
! [X0: $real] : $less(X0,$sum(6.0,$sum(1.0,X0))),
inference(resolution,[],[f468,f46]) ).
tff(f468,plain,
! [X0: $real] : ~ $less($sum(6.0,X0),X0),
inference(evaluation,[],[f458]) ).
tff(f458,plain,
! [X0: $real] : ~ $less($sum(5.0,$sum(X0,1.0)),X0),
inference(resolution,[],[f406,f59]) ).
tff(f515,plain,
! [X0: $real] : $less(X0,$sum(X0,6.0)),
inference(superposition,[],[f467,f4]) ).
tff(f511,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(6.0,X1)) ),
inference(resolution,[],[f467,f10]) ).
tff(f510,plain,
! [X0: $real] :
( ~ $less($sum(6.0,X0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f467,f62]) ).
tff(f509,plain,
! [X0: $real] :
( ~ $less($sum(6.0,X0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f467,f70]) ).
tff(f467,plain,
! [X0: $real] : $less(X0,$sum(6.0,X0)),
inference(evaluation,[],[f459]) ).
tff(f459,plain,
! [X0: $real] : $less(X0,$sum(5.0,$sum(X0,1.0))),
inference(resolution,[],[f406,f13]) ).
tff(f503,plain,
! [X0: $real,X1: $real] : ~ $less($sum(X0,$sum(X1,5.0)),$sum(X0,X1)),
inference(superposition,[],[f465,f5]) ).
tff(f504,plain,
! [X0: $real] : $less(X0,$sum(6.0,X0)),
inference(evaluation,[],[f496]) ).
tff(f496,plain,
! [X0: $real] : $less(X0,$sum($sum(X0,1.0),5.0)),
inference(resolution,[],[f465,f13]) ).
tff(f505,plain,
! [X0: $real] : ~ $less($sum(6.0,X0),X0),
inference(evaluation,[],[f495]) ).
tff(f495,plain,
! [X0: $real] : ~ $less($sum($sum(X0,1.0),5.0),X0),
inference(resolution,[],[f465,f59]) ).
tff(f506,plain,
! [X0: $real] : $less(X0,$sum(6.0,X0)),
inference(evaluation,[],[f494]) ).
tff(f494,plain,
! [X0: $real] : $less(X0,$sum($sum(1.0,X0),5.0)),
inference(resolution,[],[f465,f46]) ).
tff(f465,plain,
! [X0: $real] : ~ $less($sum(X0,5.0),X0),
inference(superposition,[],[f406,f4]) ).
tff(f489,plain,
! [X0: $real,X1: $real] : $less($sum(X0,X1),$sum(X0,$sum(X1,5.0))),
inference(superposition,[],[f452,f5]) ).
tff(f485,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,5.0)) ),
inference(resolution,[],[f452,f10]) ).
tff(f484,plain,
! [X0: $real] :
( ~ $less($sum(X0,5.0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f452,f62]) ).
tff(f483,plain,
! [X0: $real] :
( ~ $less($sum(X0,5.0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f452,f70]) ).
tff(f452,plain,
! [X0: $real] : $less(X0,$sum(X0,5.0)),
inference(superposition,[],[f405,f4]) ).
tff(f482,plain,
! [X0: $real] :
( $less($uminus($sum($uminus(a),sK2(X0))),X0)
| ~ $less($sum(sK2(X0),$uminus(a)),0.0)
| ~ $less(0.0,X0) ),
inference(superposition,[],[f31,f4]) ).
tff(f481,plain,
! [X0: $real] :
( $less($uminus($sum($uminus(a),sK2(X0))),X0)
| ~ $less($sum(sK2(X0),$uminus(a)),0.0)
| ~ $less(0.0,X0) ),
inference(superposition,[],[f31,f4]) ).
tff(f480,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(sK2(X0),$uminus(a)),0.0)
| ~ $less(0.0,X0)
| ~ $less(X1,$uminus($sum(sK2(X0),$uminus(a))))
| $less(X1,X0) ),
inference(resolution,[],[f31,f10]) ).
tff(f479,plain,
! [X0: $real] :
( ~ $less($sum(sK2(X0),$uminus(a)),0.0)
| ~ $less(0.0,X0)
| ~ $less(X0,0.0)
| $less($uminus($sum(sK2(X0),$uminus(a))),sK1) ),
inference(resolution,[],[f31,f62]) ).
tff(f478,plain,
! [X0: $real] :
( ~ $less($sum(sK2(X0),$uminus(a)),0.0)
| ~ $less(0.0,X0)
| ~ $less(X0,-1.0)
| $less($uminus($sum(sK2(X0),$uminus(a))),sK1) ),
inference(resolution,[],[f31,f70]) ).
tff(f31,plain,
! [X1: $real] :
( $less($uminus($sum(sK2(X1),$uminus(a))),X1)
| ~ $less($sum(sK2(X1),$uminus(a)),0.0)
| ~ $less(0.0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f477,plain,
! [X0: $real] :
( ~ $less(X0,-1.0)
| $less(X0,$sum(5.0,sK1)) ),
inference(resolution,[],[f472,f10]) ).
tff(f472,plain,
$less(-1.0,$sum(5.0,sK1)),
inference(resolution,[],[f462,f49]) ).
tff(f474,plain,
( $less(0.0,$sum(5.0,sK1))
| ( 0.0 = $sum(5.0,sK1) ) ),
inference(resolution,[],[f462,f11]) ).
tff(f473,plain,
( $less(0.0,$sum(5.0,sK1))
| ( 0.0 = $sum(5.0,sK1) ) ),
inference(resolution,[],[f462,f11]) ).
tff(f462,plain,
~ $less($sum(5.0,sK1),0.0),
inference(resolution,[],[f406,f57]) ).
tff(f471,plain,
( $less(-1.0,$sum(5.0,sK1))
| ( -1.0 = $sum(5.0,sK1) ) ),
inference(resolution,[],[f461,f11]) ).
tff(f470,plain,
( $less(-1.0,$sum(5.0,sK1))
| ( -1.0 = $sum(5.0,sK1) ) ),
inference(resolution,[],[f461,f11]) ).
tff(f461,plain,
~ $less($sum(5.0,sK1),-1.0),
inference(resolution,[],[f406,f68]) ).
tff(f466,plain,
! [X0: $real] : ~ $less($sum(X0,5.0),X0),
inference(superposition,[],[f406,f4]) ).
tff(f469,plain,
! [X0: $real] : $less(X0,$sum(6.0,X0)),
inference(evaluation,[],[f457]) ).
tff(f457,plain,
! [X0: $real] : $less(X0,$sum(5.0,$sum(1.0,X0))),
inference(resolution,[],[f406,f46]) ).
tff(f406,plain,
! [X0: $real] : ~ $less($sum(5.0,X0),X0),
inference(evaluation,[],[f396]) ).
tff(f396,plain,
! [X0: $real] : ~ $less($sum(4.0,$sum(X0,1.0)),X0),
inference(resolution,[],[f348,f59]) ).
tff(f453,plain,
! [X0: $real] : $less(X0,$sum(X0,5.0)),
inference(superposition,[],[f405,f4]) ).
tff(f449,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(5.0,X1)) ),
inference(resolution,[],[f405,f10]) ).
tff(f448,plain,
! [X0: $real] :
( ~ $less($sum(5.0,X0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f405,f62]) ).
tff(f447,plain,
! [X0: $real] :
( ~ $less($sum(5.0,X0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f405,f70]) ).
tff(f405,plain,
! [X0: $real] : $less(X0,$sum(5.0,X0)),
inference(evaluation,[],[f397]) ).
tff(f397,plain,
! [X0: $real] : $less(X0,$sum(4.0,$sum(X0,1.0))),
inference(resolution,[],[f348,f13]) ).
tff(f441,plain,
! [X0: $real,X1: $real] : ~ $less($sum(X0,$sum(X1,4.0)),$sum(X0,X1)),
inference(superposition,[],[f403,f5]) ).
tff(f442,plain,
! [X0: $real] : $less(X0,$sum(5.0,X0)),
inference(evaluation,[],[f434]) ).
tff(f434,plain,
! [X0: $real] : $less(X0,$sum($sum(X0,1.0),4.0)),
inference(resolution,[],[f403,f13]) ).
tff(f443,plain,
! [X0: $real] : ~ $less($sum(5.0,X0),X0),
inference(evaluation,[],[f433]) ).
tff(f433,plain,
! [X0: $real] : ~ $less($sum($sum(X0,1.0),4.0),X0),
inference(resolution,[],[f403,f59]) ).
tff(f444,plain,
! [X0: $real] : $less(X0,$sum(5.0,X0)),
inference(evaluation,[],[f432]) ).
tff(f432,plain,
! [X0: $real] : $less(X0,$sum($sum(1.0,X0),4.0)),
inference(resolution,[],[f403,f46]) ).
tff(f403,plain,
! [X0: $real] : ~ $less($sum(X0,4.0),X0),
inference(superposition,[],[f348,f4]) ).
tff(f427,plain,
! [X0: $real,X1: $real] : $less($sum(X0,X1),$sum(X0,$sum(X1,4.0))),
inference(superposition,[],[f390,f5]) ).
tff(f423,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,4.0)) ),
inference(resolution,[],[f390,f10]) ).
tff(f422,plain,
! [X0: $real] :
( ~ $less($sum(X0,4.0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f390,f62]) ).
tff(f421,plain,
! [X0: $real] :
( ~ $less($sum(X0,4.0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f390,f70]) ).
tff(f390,plain,
! [X0: $real] : $less(X0,$sum(X0,4.0)),
inference(superposition,[],[f347,f4]) ).
tff(f420,plain,
! [X0: $real] :
( $less($sum($uminus(a),sK2(X0)),X0)
| ~ $less(0.0,X0) ),
inference(superposition,[],[f365,f4]) ).
tff(f419,plain,
! [X0: $real] :
( $less($sum($uminus(a),sK2(X0)),X0)
| ~ $less(0.0,X0) ),
inference(superposition,[],[f365,f4]) ).
tff(f418,plain,
! [X0: $real,X1: $real] :
( ~ $less(0.0,X0)
| ~ $less(X1,$sum(sK2(X0),$uminus(a)))
| $less(X1,X0) ),
inference(resolution,[],[f365,f10]) ).
tff(f417,plain,
! [X0: $real] :
( ~ $less(0.0,X0)
| ~ $less(X0,0.0)
| $less($sum(sK2(X0),$uminus(a)),sK1) ),
inference(resolution,[],[f365,f62]) ).
tff(f416,plain,
! [X0: $real] :
( ~ $less(0.0,X0)
| ~ $less(X0,-1.0)
| $less($sum(sK2(X0),$uminus(a)),sK1) ),
inference(resolution,[],[f365,f70]) ).
tff(f365,plain,
! [X1: $real] :
( $less($sum(sK2(X1),$uminus(a)),X1)
| ~ $less(0.0,X1) ),
inference(subsumption_resolution,[],[f30,f10]) ).
tff(f415,plain,
! [X0: $real] :
( ~ $less(X0,-1.0)
| $less(X0,$sum(4.0,sK1)) ),
inference(resolution,[],[f410,f10]) ).
tff(f410,plain,
$less(-1.0,$sum(4.0,sK1)),
inference(resolution,[],[f400,f49]) ).
tff(f412,plain,
( $less(0.0,$sum(4.0,sK1))
| ( 0.0 = $sum(4.0,sK1) ) ),
inference(resolution,[],[f400,f11]) ).
tff(f411,plain,
( $less(0.0,$sum(4.0,sK1))
| ( 0.0 = $sum(4.0,sK1) ) ),
inference(resolution,[],[f400,f11]) ).
tff(f400,plain,
~ $less($sum(4.0,sK1),0.0),
inference(resolution,[],[f348,f57]) ).
tff(f409,plain,
( $less(-1.0,$sum(4.0,sK1))
| ( -1.0 = $sum(4.0,sK1) ) ),
inference(resolution,[],[f399,f11]) ).
tff(f408,plain,
( $less(-1.0,$sum(4.0,sK1))
| ( -1.0 = $sum(4.0,sK1) ) ),
inference(resolution,[],[f399,f11]) ).
tff(f399,plain,
~ $less($sum(4.0,sK1),-1.0),
inference(resolution,[],[f348,f68]) ).
tff(f404,plain,
! [X0: $real] : ~ $less($sum(X0,4.0),X0),
inference(superposition,[],[f348,f4]) ).
tff(f407,plain,
! [X0: $real] : $less(X0,$sum(5.0,X0)),
inference(evaluation,[],[f395]) ).
tff(f395,plain,
! [X0: $real] : $less(X0,$sum(4.0,$sum(1.0,X0))),
inference(resolution,[],[f348,f46]) ).
tff(f348,plain,
! [X0: $real] : ~ $less($sum(4.0,X0),X0),
inference(evaluation,[],[f338]) ).
tff(f338,plain,
! [X0: $real] : ~ $less($sum(3.0,$sum(X0,1.0)),X0),
inference(resolution,[],[f264,f59]) ).
tff(f391,plain,
! [X0: $real] : $less(X0,$sum(X0,4.0)),
inference(superposition,[],[f347,f4]) ).
tff(f387,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(4.0,X1)) ),
inference(resolution,[],[f347,f10]) ).
tff(f386,plain,
! [X0: $real] :
( ~ $less($sum(4.0,X0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f347,f62]) ).
tff(f385,plain,
! [X0: $real] :
( ~ $less($sum(4.0,X0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f347,f70]) ).
tff(f347,plain,
! [X0: $real] : $less(X0,$sum(4.0,X0)),
inference(evaluation,[],[f339]) ).
tff(f339,plain,
! [X0: $real] : $less(X0,$sum(3.0,$sum(X0,1.0))),
inference(resolution,[],[f264,f13]) ).
tff(f379,plain,
! [X0: $real,X1: $real] : ~ $less($sum(X0,$sum(X1,3.0)),$sum(X0,X1)),
inference(superposition,[],[f345,f5]) ).
tff(f380,plain,
! [X0: $real] : $less(X0,$sum(4.0,X0)),
inference(evaluation,[],[f372]) ).
tff(f372,plain,
! [X0: $real] : $less(X0,$sum($sum(X0,1.0),3.0)),
inference(resolution,[],[f345,f13]) ).
tff(f381,plain,
! [X0: $real] : ~ $less($sum(4.0,X0),X0),
inference(evaluation,[],[f371]) ).
tff(f371,plain,
! [X0: $real] : ~ $less($sum($sum(X0,1.0),3.0),X0),
inference(resolution,[],[f345,f59]) ).
tff(f382,plain,
! [X0: $real] : $less(X0,$sum(4.0,X0)),
inference(evaluation,[],[f370]) ).
tff(f370,plain,
! [X0: $real] : $less(X0,$sum($sum(1.0,X0),3.0)),
inference(resolution,[],[f345,f46]) ).
tff(f345,plain,
! [X0: $real] : ~ $less($sum(X0,3.0),X0),
inference(superposition,[],[f264,f4]) ).
tff(f364,plain,
! [X0: $real,X1: $real] : $less($sum(X0,X1),$sum(X0,$sum(X1,3.0))),
inference(superposition,[],[f332,f5]) ).
tff(f360,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,3.0)) ),
inference(resolution,[],[f332,f10]) ).
tff(f359,plain,
! [X0: $real] :
( ~ $less($sum(X0,3.0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f332,f62]) ).
tff(f358,plain,
! [X0: $real] :
( ~ $less($sum(X0,3.0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f332,f70]) ).
tff(f332,plain,
! [X0: $real] : $less(X0,$sum(X0,3.0)),
inference(superposition,[],[f262,f4]) ).
tff(f357,plain,
! [X0: $real] :
( ~ $less(X0,-1.0)
| $less(X0,$sum(3.0,sK1)) ),
inference(resolution,[],[f352,f10]) ).
tff(f352,plain,
$less(-1.0,$sum(3.0,sK1)),
inference(resolution,[],[f342,f49]) ).
tff(f354,plain,
( $less(0.0,$sum(3.0,sK1))
| ( 0.0 = $sum(3.0,sK1) ) ),
inference(resolution,[],[f342,f11]) ).
tff(f353,plain,
( $less(0.0,$sum(3.0,sK1))
| ( 0.0 = $sum(3.0,sK1) ) ),
inference(resolution,[],[f342,f11]) ).
tff(f342,plain,
~ $less($sum(3.0,sK1),0.0),
inference(resolution,[],[f264,f57]) ).
tff(f351,plain,
( $less(-1.0,$sum(3.0,sK1))
| ( -1.0 = $sum(3.0,sK1) ) ),
inference(resolution,[],[f341,f11]) ).
tff(f350,plain,
( $less(-1.0,$sum(3.0,sK1))
| ( -1.0 = $sum(3.0,sK1) ) ),
inference(resolution,[],[f341,f11]) ).
tff(f341,plain,
~ $less($sum(3.0,sK1),-1.0),
inference(resolution,[],[f264,f68]) ).
tff(f346,plain,
! [X0: $real] : ~ $less($sum(X0,3.0),X0),
inference(superposition,[],[f264,f4]) ).
tff(f349,plain,
! [X0: $real] : $less(X0,$sum(4.0,X0)),
inference(evaluation,[],[f337]) ).
tff(f337,plain,
! [X0: $real] : $less(X0,$sum(3.0,$sum(1.0,X0))),
inference(resolution,[],[f264,f46]) ).
tff(f264,plain,
! [X0: $real] : ~ $less($sum(3.0,X0),X0),
inference(evaluation,[],[f252]) ).
tff(f252,plain,
! [X0: $real] : ~ $less($sum(2.0,$sum(X0,1.0)),X0),
inference(resolution,[],[f194,f59]) ).
tff(f333,plain,
! [X0: $real] : $less(X0,$sum(X0,3.0)),
inference(superposition,[],[f262,f4]) ).
tff(f329,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(3.0,X1)) ),
inference(resolution,[],[f262,f10]) ).
tff(f328,plain,
! [X0: $real] :
( ~ $less($sum(3.0,X0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f262,f62]) ).
tff(f327,plain,
! [X0: $real] :
( ~ $less($sum(3.0,X0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f262,f70]) ).
tff(f262,plain,
! [X0: $real] : $less(X0,$sum(3.0,X0)),
inference(evaluation,[],[f254]) ).
tff(f254,plain,
! [X0: $real] : $less(X0,$sum(2.0,$sum(1.0,X0))),
inference(resolution,[],[f194,f46]) ).
tff(f322,plain,
! [X0: $real,X1: $real] : $less($sum(X0,X1),$sum(X0,$sum(X1,2.0))),
inference(superposition,[],[f228,f5]) ).
tff(f321,plain,
! [X0: $real,X1: $real] : ~ $less($sum(X0,$sum(X1,2.0)),$sum(X0,X1)),
inference(superposition,[],[f260,f5]) ).
tff(f320,plain,
! [X0: $real,X1: $real] : ~ $less($sum(X0,$sum(X1,1.0)),$sum(X0,X1)),
inference(superposition,[],[f172,f5]) ).
tff(f319,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(X0,$sum(X1,1.0)),-1.0)
| $less($sum(X0,X1),sK1) ),
inference(superposition,[],[f120,f5]) ).
tff(f318,plain,
! [X0: $real,X1: $real] :
( $less(-1.0,$sum(X0,$sum(X1,1.0)))
| $less($sum(X0,X1),sK1) ),
inference(superposition,[],[f80,f5]) ).
tff(f317,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(X0,$sum(X1,1.0)),0.0)
| $less($sum(X0,X1),sK1) ),
inference(superposition,[],[f73,f5]) ).
tff(f316,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less(X2,$sum(X0,$sum(X1,1.0)))
| ~ $less(X2,$sum(X0,X1)) ),
inference(superposition,[],[f59,f5]) ).
tff(f315,plain,
! [X0: $real,X1: $real] : $less($sum(X0,X1),$sum(X0,$sum(X1,1.0))),
inference(superposition,[],[f45,f5]) ).
tff(f314,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less(X2,$sum(X0,$sum(X1,1.0)))
| $less($sum(X0,X1),X2) ),
inference(superposition,[],[f13,f5]) ).
tff(f313,plain,
! [X0: $real,X1: $real] : ( 0.0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f8,f5]) ).
tff(f311,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f5]) ).
tff(f310,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f4,f5]) ).
tff(f309,plain,
! [X2: $real,X3: $real,X0: $real,X1: $real] :
( $less($sum(X0,$sum(X1,X2)),$sum(X3,X2))
| ~ $less($sum(X0,X1),X3) ),
inference(superposition,[],[f12,f5]) ).
tff(f308,plain,
! [X2: $real,X3: $real,X0: $real,X1: $real] :
( $less($sum(X3,X2),$sum(X0,$sum(X1,X2)))
| ~ $less(X3,$sum(X0,X1)) ),
inference(superposition,[],[f12,f5]) ).
tff(f307,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f5,f4]) ).
tff(f306,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1)) ),
inference(superposition,[],[f5,f4]) ).
tff(f305,plain,
! [X0: $real,X1: $real] : ( 0.0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1)))) ),
inference(superposition,[],[f5,f8]) ).
tff(f302,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum($uminus(X0),$sum($uminus(X1),X2)) = $sum($uminus($sum(X1,X0)),X2) ),
inference(superposition,[],[f5,f7]) ).
tff(f323,plain,
! [X0: $real,X1: $real] : ( $sum($uminus(X0),$sum(X0,X1)) = X1 ),
inference(evaluation,[],[f301]) ).
tff(f301,plain,
! [X0: $real,X1: $real] : ( $sum(0.0,X1) = $sum($uminus(X0),$sum(X0,X1)) ),
inference(superposition,[],[f5,f33]) ).
tff(f300,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f5,f4]) ).
tff(f299,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2) ),
inference(superposition,[],[f5,f4]) ).
tff(f324,plain,
! [X0: $real,X1: $real] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f298]) ).
tff(f298,plain,
! [X0: $real,X1: $real] : ( $sum(0.0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f5,f8]) ).
tff(f5,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f292,plain,
! [X0: $real] : $less(X0,$sum(3.0,X0)),
inference(evaluation,[],[f285]) ).
tff(f285,plain,
! [X0: $real] : $less(X0,$sum($sum(X0,1.0),2.0)),
inference(resolution,[],[f260,f13]) ).
tff(f293,plain,
! [X0: $real] : ~ $less($sum(3.0,X0),X0),
inference(evaluation,[],[f284]) ).
tff(f284,plain,
! [X0: $real] : ~ $less($sum($sum(X0,1.0),2.0),X0),
inference(resolution,[],[f260,f59]) ).
tff(f294,plain,
! [X0: $real] : $less(X0,$sum(3.0,X0)),
inference(evaluation,[],[f283]) ).
tff(f283,plain,
! [X0: $real] : $less(X0,$sum($sum(1.0,X0),2.0)),
inference(resolution,[],[f260,f46]) ).
tff(f260,plain,
! [X0: $real] : ~ $less($sum(X0,2.0),X0),
inference(superposition,[],[f194,f4]) ).
tff(f275,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(X1,2.0)) ),
inference(resolution,[],[f228,f10]) ).
tff(f274,plain,
! [X0: $real] :
( ~ $less($sum(X0,2.0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f228,f62]) ).
tff(f273,plain,
! [X0: $real] :
( ~ $less($sum(X0,2.0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f228,f70]) ).
tff(f228,plain,
! [X0: $real] : $less(X0,$sum(X0,2.0)),
inference(superposition,[],[f192,f4]) ).
tff(f272,plain,
! [X0: $real] :
( ~ $less(X0,-1.0)
| $less(X0,$sum(2.0,sK1)) ),
inference(resolution,[],[f267,f10]) ).
tff(f267,plain,
$less(-1.0,$sum(2.0,sK1)),
inference(resolution,[],[f257,f49]) ).
tff(f269,plain,
( $less(0.0,$sum(2.0,sK1))
| ( 0.0 = $sum(2.0,sK1) ) ),
inference(resolution,[],[f257,f11]) ).
tff(f268,plain,
( $less(0.0,$sum(2.0,sK1))
| ( 0.0 = $sum(2.0,sK1) ) ),
inference(resolution,[],[f257,f11]) ).
tff(f257,plain,
~ $less($sum(2.0,sK1),0.0),
inference(resolution,[],[f194,f57]) ).
tff(f266,plain,
( $less(-1.0,$sum(2.0,sK1))
| ( -1.0 = $sum(2.0,sK1) ) ),
inference(resolution,[],[f256,f11]) ).
tff(f265,plain,
( $less(-1.0,$sum(2.0,sK1))
| ( -1.0 = $sum(2.0,sK1) ) ),
inference(resolution,[],[f256,f11]) ).
tff(f256,plain,
~ $less($sum(2.0,sK1),-1.0),
inference(resolution,[],[f194,f68]) ).
tff(f261,plain,
! [X0: $real] : ~ $less($sum(X0,2.0),X0),
inference(superposition,[],[f194,f4]) ).
tff(f263,plain,
! [X0: $real] : $less(X0,$sum(3.0,X0)),
inference(evaluation,[],[f253]) ).
tff(f253,plain,
! [X0: $real] : $less(X0,$sum(2.0,$sum(X0,1.0))),
inference(resolution,[],[f194,f13]) ).
tff(f194,plain,
! [X0: $real] : ~ $less($sum(2.0,X0),X0),
inference(evaluation,[],[f183]) ).
tff(f183,plain,
! [X0: $real] : ~ $less($sum($sum(X0,1.0),1.0),X0),
inference(resolution,[],[f172,f59]) ).
tff(f246,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X2,$uminus(X1)),$uminus($sum(X1,X0)))
| ~ $less(X2,$uminus(X0)) ),
inference(superposition,[],[f12,f7]) ).
tff(f245,plain,
! [X0: $real,X1: $real] :
( $less($sum(X1,X0),0.0)
| ~ $less(X1,$uminus(X0)) ),
inference(superposition,[],[f12,f33]) ).
tff(f244,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f4]) ).
tff(f243,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X2,X1),$sum(X1,X0))
| ~ $less(X2,X0) ),
inference(superposition,[],[f12,f4]) ).
tff(f242,plain,
! [X0: $real,X1: $real] :
( $less($sum(X1,$uminus(X0)),0.0)
| ~ $less(X1,X0) ),
inference(superposition,[],[f12,f8]) ).
tff(f240,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($uminus($sum(X1,X0)),$sum(X2,$uminus(X1)))
| ~ $less($uminus(X0),X2) ),
inference(superposition,[],[f12,f7]) ).
tff(f239,plain,
! [X0: $real,X1: $real] :
( $less(0.0,$sum(X1,X0))
| ~ $less($uminus(X0),X1) ),
inference(superposition,[],[f12,f33]) ).
tff(f238,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f4]) ).
tff(f237,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X1,X0),$sum(X2,X1))
| ~ $less(X0,X2) ),
inference(superposition,[],[f12,f4]) ).
tff(f236,plain,
! [X0: $real,X1: $real] :
( $less(0.0,$sum(X1,$uminus(X0)))
| ~ $less(X0,X1) ),
inference(superposition,[],[f12,f8]) ).
tff(f234,plain,
! [X2: $real,X3: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less(X2,$sum(X0,X3))
| $less(X2,$sum(X1,X3)) ),
inference(resolution,[],[f12,f10]) ).
tff(f233,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less($sum(X1,X2),0.0)
| $less($sum(X0,X2),sK1) ),
inference(resolution,[],[f12,f62]) ).
tff(f232,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less($sum(X1,X2),-1.0)
| $less($sum(X0,X2),sK1) ),
inference(resolution,[],[f12,f70]) ).
tff(f12,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f229,plain,
! [X0: $real] : $less(X0,$sum(X0,2.0)),
inference(superposition,[],[f192,f4]) ).
tff(f225,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(2.0,X1)) ),
inference(resolution,[],[f192,f10]) ).
tff(f224,plain,
! [X0: $real] :
( ~ $less($sum(2.0,X0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f192,f62]) ).
tff(f223,plain,
! [X0: $real] :
( ~ $less($sum(2.0,X0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f192,f70]) ).
tff(f192,plain,
! [X0: $real] : $less(X0,$sum(2.0,X0)),
inference(evaluation,[],[f185]) ).
tff(f185,plain,
! [X0: $real] : $less(X0,$sum($sum(1.0,X0),1.0)),
inference(resolution,[],[f172,f46]) ).
tff(f220,plain,
! [X0: $real] : $less(X0,$sum(2.0,X0)),
inference(evaluation,[],[f212]) ).
tff(f212,plain,
! [X0: $real] : $less(X0,$sum(1.0,$sum(1.0,X0))),
inference(resolution,[],[f189,f46]) ).
tff(f221,plain,
! [X0: $real] : $less(X0,$sum(2.0,X0)),
inference(evaluation,[],[f211]) ).
tff(f211,plain,
! [X0: $real] : $less(X0,$sum(1.0,$sum(X0,1.0))),
inference(resolution,[],[f189,f13]) ).
tff(f222,plain,
! [X0: $real] : ~ $less($sum(2.0,X0),X0),
inference(evaluation,[],[f210]) ).
tff(f210,plain,
! [X0: $real] : ~ $less($sum(1.0,$sum(X0,1.0)),X0),
inference(resolution,[],[f189,f59]) ).
tff(f189,plain,
! [X0: $real] : ~ $less($sum(1.0,X0),X0),
inference(superposition,[],[f172,f4]) ).
tff(f206,plain,
! [X0: $real] :
( ~ $less(X0,-1.0)
| $less(X0,$sum(1.0,sK1)) ),
inference(resolution,[],[f197,f10]) ).
tff(f197,plain,
$less(-1.0,$sum(1.0,sK1)),
inference(resolution,[],[f196,f49]) ).
tff(f203,plain,
$less(-1.0,$sum(1.0,sK1)),
inference(global_subsumption,[],[f12,f5,f27,f26,f25,f31,f30,f28,f9,f6,f14,f29,f32,f8,f33,f4,f13,f47,f45,f51,f50,f10,f58,f60,f57,f61,f49,f64,f67,f65,f68,f69,f62,f72,f73,f81,f82,f74,f80,f90,f91,f92,f11,f95,f96,f99,f100,f102,f103,f106,f107,f84,f110,f70,f116,f117,f119,f120,f130,f131,f121,f46,f140,f141,f142,f143,f151,f155,f7,f156,f157,f160,f161,f164,f165,f59,f173,f174,f175,f176,f177,f179,f172,f194,f193,f192,f189,f190,f196,f197,f198,f199,f195,f200,f202,f201]) ).
tff(f201,plain,
( $less(-1.0,$sum(1.0,sK1))
| ( -1.0 = $sum(1.0,sK1) ) ),
inference(resolution,[],[f195,f11]) ).
tff(f202,plain,
$less(-1.0,$sum(1.0,sK1)),
inference(global_subsumption,[],[f12,f5,f27,f26,f25,f31,f30,f28,f9,f6,f14,f29,f32,f8,f33,f4,f13,f47,f45,f51,f50,f10,f58,f60,f57,f61,f49,f64,f67,f65,f68,f69,f62,f72,f73,f81,f82,f74,f80,f90,f91,f92,f11,f95,f96,f99,f100,f102,f103,f106,f107,f84,f110,f70,f116,f117,f119,f120,f130,f131,f121,f46,f140,f141,f142,f143,f151,f155,f7,f156,f157,f160,f161,f164,f165,f59,f173,f174,f175,f176,f177,f179,f172,f194,f193,f192,f189,f190,f196,f197,f198,f199,f195,f200]) ).
tff(f200,plain,
( $less(-1.0,$sum(1.0,sK1))
| ( -1.0 = $sum(1.0,sK1) ) ),
inference(resolution,[],[f195,f11]) ).
tff(f195,plain,
~ $less($sum(1.0,sK1),-1.0),
inference(forward_demodulation,[],[f187,f4]) ).
tff(f187,plain,
~ $less($sum(sK1,1.0),-1.0),
inference(resolution,[],[f172,f68]) ).
tff(f199,plain,
( $less(0.0,$sum(1.0,sK1))
| ( 0.0 = $sum(1.0,sK1) ) ),
inference(resolution,[],[f196,f11]) ).
tff(f198,plain,
( $less(0.0,$sum(1.0,sK1))
| ( 0.0 = $sum(1.0,sK1) ) ),
inference(resolution,[],[f196,f11]) ).
tff(f196,plain,
~ $less($sum(1.0,sK1),0.0),
inference(forward_demodulation,[],[f188,f4]) ).
tff(f188,plain,
~ $less($sum(sK1,1.0),0.0),
inference(resolution,[],[f172,f57]) ).
tff(f190,plain,
! [X0: $real] : ~ $less($sum(1.0,X0),X0),
inference(superposition,[],[f172,f4]) ).
tff(f193,plain,
! [X0: $real] : $less(X0,$sum(2.0,X0)),
inference(evaluation,[],[f184]) ).
tff(f184,plain,
! [X0: $real] : $less(X0,$sum($sum(X0,1.0),1.0)),
inference(resolution,[],[f172,f13]) ).
tff(f172,plain,
! [X0: $real] : ~ $less($sum(X0,1.0),X0),
inference(resolution,[],[f59,f9]) ).
tff(f179,plain,
! [X0: $real] :
( $less(X0,0.0)
| ~ $less(X0,-1.0) ),
inference(evaluation,[],[f178]) ).
tff(f178,plain,
! [X0: $real] :
( $less(X0,0.0)
| ~ $less(X0,$uminus(1.0)) ),
inference(superposition,[],[f59,f33]) ).
tff(f177,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(1.0,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f59,f4]) ).
tff(f176,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(1.0,X0))
| ~ $less(X1,X0) ),
inference(superposition,[],[f59,f4]) ).
tff(f175,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less(X2,X0)
| $less(X2,$sum(X1,1.0)) ),
inference(resolution,[],[f59,f10]) ).
tff(f174,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less($sum(X1,1.0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f59,f62]) ).
tff(f173,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ~ $less($sum(X1,1.0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f59,f70]) ).
tff(f59,plain,
! [X0: $real,X1: $real] :
( $less(X0,$sum(X1,1.0))
| ~ $less(X0,X1) ),
inference(resolution,[],[f10,f45]) ).
tff(f165,plain,
! [X0: $real,X1: $real] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f4,f7]) ).
tff(f164,plain,
! [X0: $real,X1: $real] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f4,f7]) ).
tff(f161,plain,
! [X0: $real,X1: $real] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f7,f4]) ).
tff(f160,plain,
! [X0: $real,X1: $real] : ( $sum($uminus(X1),$uminus(X0)) = $uminus($sum(X1,X0)) ),
inference(superposition,[],[f7,f4]) ).
tff(f157,plain,
! [X0: $real,X1: $real] : ( $uminus($sum($uminus(X0),X1)) = $sum($uminus(X1),X0) ),
inference(superposition,[],[f7,f14]) ).
tff(f156,plain,
! [X0: $real,X1: $real] : ( $uminus($sum(X1,$uminus(X0))) = $sum(X0,$uminus(X1)) ),
inference(superposition,[],[f7,f14]) ).
tff(f7,plain,
! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f155,plain,
! [X0: $real,X1: $real] :
( $less(X0,1.0)
| ~ $less(X1,0.0)
| $less(X1,X0) ),
inference(resolution,[],[f143,f10]) ).
tff(f151,plain,
! [X0: $real,X1: $real] :
( $less(0.0,X0)
| ~ $less(X1,X0)
| $less(X1,1.0) ),
inference(resolution,[],[f143,f10]) ).
tff(f143,plain,
! [X0: $real] :
( $less(X0,1.0)
| $less(0.0,X0) ),
inference(superposition,[],[f46,f6]) ).
tff(f142,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less(X0,X1)
| ~ $less(X2,X1)
| $less(X2,$sum(1.0,X0)) ),
inference(resolution,[],[f46,f10]) ).
tff(f141,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| ~ $less($sum(1.0,X0),0.0)
| $less(X1,sK1) ),
inference(resolution,[],[f46,f62]) ).
tff(f140,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| ~ $less($sum(1.0,X0),-1.0)
| $less(X1,sK1) ),
inference(resolution,[],[f46,f70]) ).
tff(f46,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(1.0,X0))
| $less(X0,X1) ),
inference(superposition,[],[f13,f4]) ).
tff(f121,plain,
! [X0: $real] :
( ~ $less($sum(1.0,X0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f70,f50]) ).
tff(f131,plain,
! [X0: $real] :
( ~ $less($sum(1.0,X0),-1.0)
| $less(X0,sK1) ),
inference(superposition,[],[f120,f4]) ).
tff(f130,plain,
! [X0: $real] :
( ~ $less($sum(1.0,X0),-1.0)
| $less(X0,sK1) ),
inference(superposition,[],[f120,f4]) ).
tff(f120,plain,
! [X0: $real] :
( ~ $less($sum(X0,1.0),-1.0)
| $less(X0,sK1) ),
inference(resolution,[],[f70,f45]) ).
tff(f119,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(X0,1.0),-1.0)
| $less(X1,sK1)
| $less(X0,X1) ),
inference(resolution,[],[f70,f13]) ).
tff(f117,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,-1.0)
| $less(X1,sK1)
| $less(X0,X1)
| ( X0 = X1 ) ),
inference(resolution,[],[f70,f11]) ).
tff(f116,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,-1.0)
| $less(X1,sK1)
| $less(X0,X1)
| ( X0 = X1 ) ),
inference(resolution,[],[f70,f11]) ).
tff(f70,plain,
! [X0: $real,X1: $real] :
( ~ $less(X1,X0)
| ~ $less(X0,-1.0)
| $less(X1,sK1) ),
inference(resolution,[],[f68,f10]) ).
tff(f110,plain,
! [X0: $real,X1: $real] :
( $less(X0,sK1)
| ~ $less(X1,-1.0)
| $less(X1,$sum(1.0,X0)) ),
inference(resolution,[],[f84,f10]) ).
tff(f84,plain,
! [X0: $real] :
( $less(-1.0,$sum(1.0,X0))
| $less(X0,sK1) ),
inference(resolution,[],[f74,f49]) ).
tff(f107,plain,
! [X0: $real] :
( $less(0.0,$sum(1.0,X0))
| ( 0.0 = $sum(1.0,X0) )
| $less(X0,sK1) ),
inference(resolution,[],[f11,f74]) ).
tff(f106,plain,
! [X0: $real] :
( $less(0.0,$sum(X0,1.0))
| ( 0.0 = $sum(X0,1.0) )
| $less(X0,sK1) ),
inference(resolution,[],[f11,f73]) ).
tff(f103,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f11,f10]) ).
tff(f102,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X0,0.0)
| $less(X1,sK1) ),
inference(resolution,[],[f11,f62]) ).
tff(f100,plain,
! [X0: $real] :
( $less(0.0,$sum(1.0,X0))
| ( 0.0 = $sum(1.0,X0) )
| $less(X0,sK1) ),
inference(resolution,[],[f11,f74]) ).
tff(f99,plain,
! [X0: $real] :
( $less(0.0,$sum(X0,1.0))
| ( 0.0 = $sum(X0,1.0) )
| $less(X0,sK1) ),
inference(resolution,[],[f11,f73]) ).
tff(f96,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X2,X1)
| $less(X2,X0) ),
inference(resolution,[],[f11,f10]) ).
tff(f95,plain,
! [X0: $real,X1: $real] :
( $less(X0,X1)
| ( X0 = X1 )
| ~ $less(X0,0.0)
| $less(X1,sK1) ),
inference(resolution,[],[f11,f62]) ).
tff(f11,plain,
! [X0: $real,X1: $real] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f92,plain,
! [X0: $real] :
( $less(-1.0,$sum(1.0,X0))
| $less(X0,sK1) ),
inference(superposition,[],[f80,f4]) ).
tff(f91,plain,
! [X0: $real] :
( $less(-1.0,$sum(1.0,X0))
| $less(X0,sK1) ),
inference(superposition,[],[f80,f4]) ).
tff(f90,plain,
! [X0: $real,X1: $real] :
( $less(X0,sK1)
| ~ $less(X1,-1.0)
| $less(X1,$sum(X0,1.0)) ),
inference(resolution,[],[f80,f10]) ).
tff(f80,plain,
! [X0: $real] :
( $less(-1.0,$sum(X0,1.0))
| $less(X0,sK1) ),
inference(resolution,[],[f73,f49]) ).
tff(f74,plain,
! [X0: $real] :
( ~ $less($sum(1.0,X0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f62,f50]) ).
tff(f82,plain,
! [X0: $real] :
( ~ $less($sum(1.0,X0),0.0)
| $less(X0,sK1) ),
inference(superposition,[],[f73,f4]) ).
tff(f81,plain,
! [X0: $real] :
( ~ $less($sum(1.0,X0),0.0)
| $less(X0,sK1) ),
inference(superposition,[],[f73,f4]) ).
tff(f73,plain,
! [X0: $real] :
( ~ $less($sum(X0,1.0),0.0)
| $less(X0,sK1) ),
inference(resolution,[],[f62,f45]) ).
tff(f72,plain,
! [X0: $real,X1: $real] :
( ~ $less($sum(X0,1.0),0.0)
| $less(X1,sK1)
| $less(X0,X1) ),
inference(resolution,[],[f62,f13]) ).
tff(f62,plain,
! [X0: $real,X1: $real] :
( ~ $less(X1,X0)
| ~ $less(X0,0.0)
| $less(X1,sK1) ),
inference(resolution,[],[f57,f10]) ).
tff(f69,plain,
~ $less(sK1,-1.0),
inference(resolution,[],[f68,f9]) ).
tff(f68,plain,
! [X0: $real] :
( $less(X0,sK1)
| ~ $less(X0,-1.0) ),
inference(resolution,[],[f65,f10]) ).
tff(f65,plain,
$less(-1.0,sK1),
inference(resolution,[],[f49,f61]) ).
tff(f67,plain,
! [X0: $real,X1: $real] :
( $less(X0,0.0)
| ~ $less(X1,-1.0)
| $less(X1,X0) ),
inference(resolution,[],[f49,f10]) ).
tff(f64,plain,
! [X0: $real,X1: $real] :
( $less(-1.0,X0)
| ~ $less(X1,X0)
| $less(X1,0.0) ),
inference(resolution,[],[f49,f10]) ).
tff(f49,plain,
! [X0: $real] :
( $less(X0,0.0)
| $less(-1.0,X0) ),
inference(evaluation,[],[f48]) ).
tff(f48,plain,
! [X0: $real] :
( $less(X0,0.0)
| $less($uminus(1.0),X0) ),
inference(superposition,[],[f13,f33]) ).
tff(f61,plain,
~ $less(sK1,0.0),
inference(resolution,[],[f57,f9]) ).
tff(f57,plain,
! [X0: $real] :
( $less(X0,sK1)
| ~ $less(X0,0.0) ),
inference(resolution,[],[f10,f28]) ).
tff(f60,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(1.0,X1)) ),
inference(resolution,[],[f10,f50]) ).
tff(f58,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less(X0,$sum(X2,1.0))
| $less(X2,X1) ),
inference(resolution,[],[f10,f13]) ).
tff(f10,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f50,plain,
! [X0: $real] : $less(X0,$sum(1.0,X0)),
inference(superposition,[],[f45,f4]) ).
tff(f51,plain,
! [X0: $real] : $less(X0,$sum(1.0,X0)),
inference(superposition,[],[f45,f4]) ).
tff(f45,plain,
! [X0: $real] : $less(X0,$sum(X0,1.0)),
inference(resolution,[],[f13,f9]) ).
tff(f47,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(1.0,X0))
| $less(X0,X1) ),
inference(superposition,[],[f13,f4]) ).
tff(f13,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(X0,1.0))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f4,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f33,plain,
! [X0: $real] : ( 0.0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f8,f14]) ).
tff(f8,plain,
! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f29,plain,
! [X1: $real] :
( ( a != sK2(X1) )
| ~ $less(0.0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f14,plain,
! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f6,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f30,plain,
! [X1: $real] :
( $less($sum(sK2(X1),$uminus(a)),X1)
| $less($sum(sK2(X1),$uminus(a)),0.0)
| ~ $less(0.0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f27,plain,
! [X0: $real,X1: $real] :
( ~ $less($uminus($sum(X1,$uminus(a))),X0)
| ~ $less($sum(X1,$uminus(a)),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ANA140_1 : TPTP v8.2.0. Released v8.2.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 15:31:23 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.32 % (8439)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (8442)WARNING: value z3 for option sas not known
% 0.11/0.33 % (8443)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.33 % (8446)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)
% 0.11/0.33 % (8440)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.33 % (8444)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)
% 0.11/0.33 % (8442)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)
% 0.11/0.33 % (8445)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)
% 0.11/0.33 % (8441)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.33 % (8443)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.33 % (8440)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.33 % (8443)Terminated due to inappropriate strategy.
% 0.11/0.33 % (8443)------------------------------
% 0.11/0.33 % (8443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.33 % (8440)Terminated due to inappropriate strategy.
% 0.11/0.33 % (8440)------------------------------
% 0.11/0.33 % (8440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.33 % (8440)Termination reason: Inappropriate
% 0.11/0.33
% 0.11/0.33 % (8440)Memory used [KB]: 725
% 0.11/0.33 % (8440)Time elapsed: 0.002 s
% 0.11/0.33 % (8440)Instructions burned: 2 (million)
% 0.11/0.33 % (8443)Termination reason: Inappropriate
% 0.11/0.33
% 0.11/0.33 % (8443)Memory used [KB]: 725
% 0.11/0.33 % (8443)Time elapsed: 0.002 s
% 0.11/0.33 % (8443)Instructions burned: 2 (million)
% 0.11/0.33 % (8440)------------------------------
% 0.11/0.33 % (8440)------------------------------
% 0.11/0.33 % (8443)------------------------------
% 0.11/0.33 % (8443)------------------------------
% 0.11/0.33 % (8441)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.33 % (8441)Terminated due to inappropriate strategy.
% 0.11/0.33 % (8441)------------------------------
% 0.11/0.33 % (8441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.33 % (8441)Termination reason: Inappropriate
% 0.11/0.33
% 0.11/0.33 % (8441)Memory used [KB]: 725
% 0.11/0.33 % (8441)Time elapsed: 0.002 s
% 0.11/0.33 % (8441)Instructions burned: 2 (million)
% 0.11/0.33 % (8441)------------------------------
% 0.11/0.33 % (8441)------------------------------
% 0.11/0.35 % (8449)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.11/0.35 % (8448)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.11/0.35 % (8447)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.11/0.35 % (8447)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.35 % (8447)Terminated due to inappropriate strategy.
% 0.11/0.35 % (8447)------------------------------
% 0.11/0.35 % (8447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (8447)Termination reason: Inappropriate
% 0.11/0.35
% 0.11/0.35 % (8447)Memory used [KB]: 727
% 0.11/0.35 % (8447)Time elapsed: 0.002 s
% 0.11/0.35 % (8447)Instructions burned: 2 (million)
% 0.11/0.35 % (8447)------------------------------
% 0.11/0.35 % (8447)------------------------------
% 0.11/0.35 % (8442)First to succeed.
% 0.17/0.36 % (8442)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8439"
% 0.17/0.36 % (8442)Refutation found. Thanks to Tanya!
% 0.17/0.36 % SZS status Theorem for theBenchmark
% 0.17/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.36 % (8442)------------------------------
% 0.17/0.36 % (8442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.36 % (8442)Termination reason: Refutation
% 0.17/0.36
% 0.17/0.36 % (8442)Memory used [KB]: 1121
% 0.17/0.36 % (8442)Time elapsed: 0.028 s
% 0.17/0.36 % (8442)Instructions burned: 51 (million)
% 0.17/0.36 % (8439)Success in time 0.033 s
%------------------------------------------------------------------------------