TSTP Solution File: SWV053+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV053+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 May 1 04:02:21 EDT 2024
% Result : Theorem 0.76s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 76 ( 24 unt; 0 def)
% Number of atoms : 369 ( 80 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 468 ( 175 ~; 172 |; 93 &)
% ( 11 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 12 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 15 con; 0-3 aty)
% Number of variables : 70 ( 54 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f553,plain,
$false,
inference(avatar_sat_refutation,[],[f458,f463,f468,f473,f474,f475,f480,f481,f482,f483,f484,f485,f486,f497,f548,f552]) ).
fof(f552,plain,
( ~ spl35_11
| ~ spl35_10
| spl35_7 ),
inference(avatar_split_clause,[],[f551,f455,f470,f477]) ).
fof(f477,plain,
( spl35_11
<=> leq(n0,sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_11])]) ).
fof(f470,plain,
( spl35_10
<=> leq(sK31,minus(pv10,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_10])]) ).
fof(f455,plain,
( spl35_7
<=> n1 = sum(n0,minus(n5,n1),a_select3(q,sK31,sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_7])]) ).
fof(f551,plain,
( ~ leq(sK31,minus(pv10,n1))
| ~ leq(n0,sK31)
| spl35_7 ),
inference(trivial_inequality_removal,[],[f550]) ).
fof(f550,plain,
( n1 != n1
| ~ leq(sK31,minus(pv10,n1))
| ~ leq(n0,sK31)
| spl35_7 ),
inference(superposition,[],[f457,f343]) ).
fof(f343,plain,
! [X4,X5] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X4,X5))
| ~ leq(X4,minus(pv10,n1))
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ( ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK31,sK32))
& leq(sK31,minus(pv10,n1))
& leq(n0,sK31) )
| ( a_select3(q,pv10,sK33) != divide(sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK34,n0),a_select2(x,pv10)),minus(a_select3(center,sK34,n0),a_select2(x,pv10))))))
& leq(sK33,minus(pv12,n1))
& leq(n0,sK33) )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) )
& ! [X4,X5] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X4,X5))
| ~ leq(X4,minus(pv10,n1))
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q,pv10,X6) = divide(sqrt(times(minus(a_select3(center,X6,n0),a_select2(x,pv10)),minus(a_select3(center,X6,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X7,n0),a_select2(x,pv10)),minus(a_select3(center,X7,n0),a_select2(x,pv10))))))
| ~ leq(X6,minus(pv12,n1))
| ~ leq(n0,X6) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34])],[f224,f226,f225]) ).
fof(f225,plain,
( ? [X0,X1] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1))
& leq(X0,minus(pv10,n1))
& leq(n0,X0) )
=> ( n1 != sum(n0,minus(n5,n1),a_select3(q,sK31,sK32))
& leq(sK31,minus(pv10,n1))
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( ? [X2,X3] :
( a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10))))))
& leq(X2,minus(pv12,n1))
& leq(n0,X2) )
=> ( a_select3(q,pv10,sK33) != divide(sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK34,n0),a_select2(x,pv10)),minus(a_select3(center,sK34,n0),a_select2(x,pv10))))))
& leq(sK33,minus(pv12,n1))
& leq(n0,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
( ( ? [X0,X1] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1))
& leq(X0,minus(pv10,n1))
& leq(n0,X0) )
| ? [X2,X3] :
( a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10))))))
& leq(X2,minus(pv12,n1))
& leq(n0,X2) )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) )
& ! [X4,X5] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X4,X5))
| ~ leq(X4,minus(pv10,n1))
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q,pv10,X6) = divide(sqrt(times(minus(a_select3(center,X6,n0),a_select2(x,pv10)),minus(a_select3(center,X6,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X7,n0),a_select2(x,pv10)),minus(a_select3(center,X7,n0),a_select2(x,pv10))))))
| ~ leq(X6,minus(pv12,n1))
| ~ leq(n0,X6) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) ),
inference(rectify,[],[f157]) ).
fof(f157,plain,
( ( ? [X4,X5] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5))
& leq(X4,minus(pv10,n1))
& leq(n0,X4) )
| ? [X6,X7] :
( a_select3(q,pv10,X6) != divide(sqrt(times(minus(a_select3(center,X6,n0),a_select2(x,pv10)),minus(a_select3(center,X6,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X7,n0),a_select2(x,pv10)),minus(a_select3(center,X7,n0),a_select2(x,pv10))))))
& leq(X6,minus(pv12,n1))
& leq(n0,X6) )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) )
& ! [X0,X1] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
| ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10))))))
| ~ leq(X2,minus(pv12,n1))
| ~ leq(n0,X2) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
( ( ? [X4,X5] :
( n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5))
& leq(X4,minus(pv10,n1))
& leq(n0,X4) )
| ? [X6,X7] :
( a_select3(q,pv10,X6) != divide(sqrt(times(minus(a_select3(center,X6,n0),a_select2(x,pv10)),minus(a_select3(center,X6,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X7,n0),a_select2(x,pv10)),minus(a_select3(center,X7,n0),a_select2(x,pv10))))))
& leq(X6,minus(pv12,n1))
& leq(n0,X6) )
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) )
& ! [X0,X1] :
( n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))
| ~ leq(X0,minus(pv10,n1))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10))))))
| ~ leq(X2,minus(pv12,n1))
| ~ leq(n0,X2) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
~ ( ( ! [X0,X1] :
( ( leq(X0,minus(pv10,n1))
& leq(n0,X0) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1)) )
& ! [X2,X3] :
( ( leq(X2,minus(pv12,n1))
& leq(n0,X2) )
=> a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))))) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) )
=> ( ! [X4,X5] :
( ( leq(X4,minus(pv10,n1))
& leq(n0,X4) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X4,X5)) )
& ! [X6,X7] :
( ( leq(X6,minus(pv12,n1))
& leq(n0,X6) )
=> a_select3(q,pv10,X6) = divide(sqrt(times(minus(a_select3(center,X6,n0),a_select2(x,pv10)),minus(a_select3(center,X6,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X7,n0),a_select2(x,pv10)),minus(a_select3(center,X7,n0),a_select2(x,pv10)))))) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10)
& n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3,X19] :
( ( leq(X3,minus(pv10,n1))
& leq(n0,X3) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X3,X19)) )
& ! [X13,X17] :
( ( leq(X13,minus(pv12,n1))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,n0),a_select2(x,pv10)))))) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) )
=> ( ! [X27,X28] :
( ( leq(X27,minus(pv10,n1))
& leq(n0,X27) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X27,X28)) )
& ! [X20,X21] :
( ( leq(X20,minus(pv12,n1))
& leq(n0,X20) )
=> a_select3(q,pv10,X20) = divide(sqrt(times(minus(a_select3(center,X20,n0),a_select2(x,pv10)),minus(a_select3(center,X20,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X21,n0),a_select2(x,pv10)),minus(a_select3(center,X21,n0),a_select2(x,pv10)))))) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10)
& n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3,X19] :
( ( leq(X3,minus(pv10,n1))
& leq(n0,X3) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X3,X19)) )
& ! [X13,X17] :
( ( leq(X13,minus(pv12,n1))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,n0),a_select2(x,pv10)))))) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10) )
=> ( ! [X27,X28] :
( ( leq(X27,minus(pv10,n1))
& leq(n0,X27) )
=> n1 = sum(n0,minus(n5,n1),a_select3(q,X27,X28)) )
& ! [X20,X21] :
( ( leq(X20,minus(pv12,n1))
& leq(n0,X20) )
=> a_select3(q,pv10,X20) = divide(sqrt(times(minus(a_select3(center,X20,n0),a_select2(x,pv10)),minus(a_select3(center,X20,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X21,n0),a_select2(x,pv10)),minus(a_select3(center,X21,n0),a_select2(x,pv10)))))) )
& leq(pv12,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv12)
& leq(n0,pv10)
& n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GLgFGsyluI/Vampire---4.8_24149',cl5_nebula_norm_0031) ).
fof(f457,plain,
( n1 != sum(n0,minus(n5,n1),a_select3(q,sK31,sK32))
| spl35_7 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f548,plain,
spl35_1,
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f547,plain,
( $false
| spl35_1 ),
inference(trivial_inequality_removal,[],[f546]) ).
fof(f546,plain,
( n0 != n0
| spl35_1 ),
inference(superposition,[],[f545,f305]) ).
fof(f305,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f106]) ).
fof(f106,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/tmp/tmp.GLgFGsyluI/Vampire---4.8_24149',sum_plus_base) ).
fof(f545,plain,
( n0 != sum(n0,tptp_minus_1,sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| spl35_1 ),
inference(superposition,[],[f433,f543]) ).
fof(f543,plain,
tptp_minus_1 = minus(n0,n1),
inference(superposition,[],[f408,f398]) ).
fof(f398,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f307,f308]) ).
fof(f308,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/tmp/tmp.GLgFGsyluI/Vampire---4.8_24149',succ_plus_1_r) ).
fof(f307,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.GLgFGsyluI/Vampire---4.8_24149',succ_tptp_minus_1) ).
fof(f408,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f319,f318,f308]) ).
fof(f318,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/tmp/tmp.GLgFGsyluI/Vampire---4.8_24149',pred_minus_1) ).
fof(f319,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.GLgFGsyluI/Vampire---4.8_24149',pred_succ) ).
fof(f433,plain,
( n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))
| spl35_1 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl35_1
<=> n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_1])]) ).
fof(f497,plain,
( ~ spl35_9
| ~ spl35_8
| spl35_6 ),
inference(avatar_split_clause,[],[f496,f451,f460,f465]) ).
fof(f465,plain,
( spl35_9
<=> leq(n0,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_9])]) ).
fof(f460,plain,
( spl35_8
<=> leq(sK33,minus(pv12,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_8])]) ).
fof(f451,plain,
( spl35_6
<=> a_select3(q,pv10,sK33) = divide(sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK34,n0),a_select2(x,pv10)),minus(a_select3(center,sK34,n0),a_select2(x,pv10)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_6])]) ).
fof(f496,plain,
( ~ leq(sK33,minus(pv12,n1))
| ~ leq(n0,sK33)
| spl35_6 ),
inference(trivial_inequality_removal,[],[f495]) ).
fof(f495,plain,
( a_select3(q,pv10,sK33) != a_select3(q,pv10,sK33)
| ~ leq(sK33,minus(pv12,n1))
| ~ leq(n0,sK33)
| spl35_6 ),
inference(superposition,[],[f453,f342]) ).
fof(f342,plain,
! [X6,X7] :
( a_select3(q,pv10,X6) = divide(sqrt(times(minus(a_select3(center,X6,n0),a_select2(x,pv10)),minus(a_select3(center,X6,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X7,n0),a_select2(x,pv10)),minus(a_select3(center,X7,n0),a_select2(x,pv10))))))
| ~ leq(X6,minus(pv12,n1))
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f227]) ).
fof(f453,plain,
( a_select3(q,pv10,sK33) != divide(sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK34,n0),a_select2(x,pv10)),minus(a_select3(center,sK34,n0),a_select2(x,pv10))))))
| spl35_6 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f486,plain,
spl35_2,
inference(avatar_split_clause,[],[f338,f435]) ).
fof(f435,plain,
( spl35_2
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_2])]) ).
fof(f338,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f227]) ).
fof(f485,plain,
spl35_3,
inference(avatar_split_clause,[],[f339,f439]) ).
fof(f439,plain,
( spl35_3
<=> leq(n0,pv12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_3])]) ).
fof(f339,plain,
leq(n0,pv12),
inference(cnf_transformation,[],[f227]) ).
fof(f484,plain,
spl35_4,
inference(avatar_split_clause,[],[f340,f443]) ).
fof(f443,plain,
( spl35_4
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_4])]) ).
fof(f340,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f227]) ).
fof(f483,plain,
spl35_5,
inference(avatar_split_clause,[],[f341,f447]) ).
fof(f447,plain,
( spl35_5
<=> leq(pv12,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_5])]) ).
fof(f341,plain,
leq(pv12,minus(n5,n1)),
inference(cnf_transformation,[],[f227]) ).
fof(f482,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_9
| spl35_11 ),
inference(avatar_split_clause,[],[f344,f477,f465,f447,f443,f439,f435,f431]) ).
fof(f344,plain,
( leq(n0,sK31)
| leq(n0,sK33)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(cnf_transformation,[],[f227]) ).
fof(f481,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_8
| spl35_11 ),
inference(avatar_split_clause,[],[f345,f477,f460,f447,f443,f439,f435,f431]) ).
fof(f345,plain,
( leq(n0,sK31)
| leq(sK33,minus(pv12,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(cnf_transformation,[],[f227]) ).
fof(f480,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| ~ spl35_6
| spl35_11 ),
inference(avatar_split_clause,[],[f346,f477,f451,f447,f443,f439,f435,f431]) ).
fof(f346,plain,
( leq(n0,sK31)
| a_select3(q,pv10,sK33) != divide(sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK34,n0),a_select2(x,pv10)),minus(a_select3(center,sK34,n0),a_select2(x,pv10))))))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(cnf_transformation,[],[f227]) ).
fof(f475,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_9
| spl35_10 ),
inference(avatar_split_clause,[],[f347,f470,f465,f447,f443,f439,f435,f431]) ).
fof(f347,plain,
( leq(sK31,minus(pv10,n1))
| leq(n0,sK33)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(cnf_transformation,[],[f227]) ).
fof(f474,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_8
| spl35_10 ),
inference(avatar_split_clause,[],[f348,f470,f460,f447,f443,f439,f435,f431]) ).
fof(f348,plain,
( leq(sK31,minus(pv10,n1))
| leq(sK33,minus(pv12,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(cnf_transformation,[],[f227]) ).
fof(f473,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| ~ spl35_6
| spl35_10 ),
inference(avatar_split_clause,[],[f349,f470,f451,f447,f443,f439,f435,f431]) ).
fof(f349,plain,
( leq(sK31,minus(pv10,n1))
| a_select3(q,pv10,sK33) != divide(sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK34,n0),a_select2(x,pv10)),minus(a_select3(center,sK34,n0),a_select2(x,pv10))))))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(cnf_transformation,[],[f227]) ).
fof(f468,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_9
| ~ spl35_7 ),
inference(avatar_split_clause,[],[f350,f455,f465,f447,f443,f439,f435,f431]) ).
fof(f350,plain,
( n1 != sum(n0,minus(n5,n1),a_select3(q,sK31,sK32))
| leq(n0,sK33)
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(cnf_transformation,[],[f227]) ).
fof(f463,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| spl35_8
| ~ spl35_7 ),
inference(avatar_split_clause,[],[f351,f455,f460,f447,f443,f439,f435,f431]) ).
fof(f351,plain,
( n1 != sum(n0,minus(n5,n1),a_select3(q,sK31,sK32))
| leq(sK33,minus(pv12,n1))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(cnf_transformation,[],[f227]) ).
fof(f458,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3
| ~ spl35_4
| ~ spl35_5
| ~ spl35_6
| ~ spl35_7 ),
inference(avatar_split_clause,[],[f352,f455,f451,f447,f443,f439,f435,f431]) ).
fof(f352,plain,
( n1 != sum(n0,minus(n5,n1),a_select3(q,sK31,sK32))
| a_select3(q,pv10,sK33) != divide(sqrt(times(minus(a_select3(center,sK33,n0),a_select2(x,pv10)),minus(a_select3(center,sK33,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK34,n0),a_select2(x,pv10)),minus(a_select3(center,sK34,n0),a_select2(x,pv10))))))
| ~ leq(pv12,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv12)
| ~ leq(n0,pv10)
| n0 != sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10))))) ),
inference(cnf_transformation,[],[f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV053+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 19:06:48 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.GLgFGsyluI/Vampire---4.8_24149
% 0.74/0.92 % (24505)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.74/0.92 % (24503)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.74/0.92 % (24506)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.74/0.92 % (24504)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.74/0.92 % (24507)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.74/0.92 % (24508)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.74/0.92 % (24509)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.74/0.92 % (24510)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.76/0.93 % (24504)First to succeed.
% 0.76/0.93 % (24504)Refutation found. Thanks to Tanya!
% 0.76/0.93 % SZS status Theorem for Vampire---4
% 0.76/0.93 % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.93 % (24504)------------------------------
% 0.77/0.93 % (24504)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93 % (24504)Termination reason: Refutation
% 0.77/0.93
% 0.77/0.93 % (24504)Memory used [KB]: 1393
% 0.77/0.93 % (24504)Time elapsed: 0.015 s
% 0.77/0.93 % (24504)Instructions burned: 29 (million)
% 0.77/0.93 % (24504)------------------------------
% 0.77/0.93 % (24504)------------------------------
% 0.77/0.93 % (24357)Success in time 0.554 s
% 0.77/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------