TSTP Solution File: ITP018_2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP018_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 06:48:09 EDT 2024
% Result : Theorem 0.58s 0.85s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 57
% Syntax : Number of formulae : 120 ( 56 unt; 32 typ; 0 def)
% Number of atoms : 359 ( 54 equ)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 72 ( 36 ~; 27 |; 0 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 235 ( 235 fml; 0 var)
% Number of types : 5 ( 3 usr)
% Number of type conns : 31 ( 20 >; 11 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 9 con; 0-3 aty)
% Number of variables : 70 ( 66 !; 4 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
tp__ty_2Erealax_2Ereal: $tType ).
tff(type_def_7,type,
tp__o: $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( del * $i ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
ty_2Erealax_2Ereal: del ).
tff(func_def_7,type,
inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).
tff(func_def_8,type,
surj__ty_2Erealax_2Ereal: $i > tp__ty_2Erealax_2Ereal ).
tff(func_def_10,type,
fo__c_2Erealax_2Ereal__neg: tp__ty_2Erealax_2Ereal > tp__ty_2Erealax_2Ereal ).
tff(func_def_11,type,
ty_2Ebinary__ieee_2Efloat: ( del * del ) > del ).
tff(func_def_12,type,
c_2Ebinary__ieee_2Efloat__negate: ( del * del ) > $i ).
tff(func_def_13,type,
ty_2Epair_2Eprod: ( del * del ) > del ).
tff(func_def_14,type,
ty_2Ebool_2Eitself: del > del ).
tff(func_def_15,type,
c_2Ebinary__ieee_2Efloat__plus__min: ( del * del ) > $i ).
tff(func_def_16,type,
c_2Ebinary__ieee_2Efloat__to__real: ( del * del ) > $i ).
tff(func_def_17,type,
c_2Ebool_2Ethe__value: del > $i ).
tff(func_def_18,type,
c_2Ebinary__ieee_2Eulp: ( del * del ) > $i ).
tff(func_def_19,type,
inj__o: tp__o > $i ).
tff(func_def_20,type,
surj__o: $i > tp__o ).
tff(func_def_22,type,
fo__c_2Ebool_2ET: tp__o ).
tff(func_def_23,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_24,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_25,type,
sK0: del ).
tff(func_def_26,type,
sK1: del ).
tff(func_def_27,type,
sK2: ( del * $i * $i ) > $i ).
tff(func_def_29,type,
sF4: del ).
tff(func_def_33,type,
sF8: tp__ty_2Erealax_2Ereal ).
tff(func_def_40,type,
sF15: tp__ty_2Erealax_2Ereal ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(f238,plain,
$false,
inference(avatar_sat_refutation,[],[f172,f183,f227]) ).
tff(f227,plain,
~ spl16_6,
inference(avatar_contradiction_clause,[],[f226]) ).
tff(f226,plain,
( $false
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f225,f84]) ).
tff(f84,plain,
sF8 != sF15,
inference(definition_folding,[],[f56,f83,f82,f81,f80,f73,f72,f79,f78,f77,f76,f75,f74,f73,f72,f71]) ).
tff(f71,plain,
c_2Ebinary__ieee_2Eulp(sK0,sK1) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
tff(f74,plain,
ap(sF3,sF5) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
tff(f75,plain,
ap(c_2Erealax_2Ereal__neg,sF6) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
tff(f76,plain,
surj__ty_2Erealax_2Ereal(sF7) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
tff(f77,plain,
c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
tff(f78,plain,
c_2Ebinary__ieee_2Efloat__negate(sK0,sK1) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
tff(f79,plain,
c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
tff(f72,plain,
ty_2Epair_2Eprod(sK0,sK1) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
tff(f73,plain,
c_2Ebool_2Ethe__value(sF4) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
tff(f80,plain,
ap(sF11,sF5) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
tff(f81,plain,
ap(sF10,sF12) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
tff(f82,plain,
ap(sF9,sF13) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
tff(f83,plain,
surj__ty_2Erealax_2Ereal(sF14) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
tff(f56,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f52]) ).
tff(f52,plain,
( ? [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))))) )
=> ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))))) ) ),
introduced(choice_axiom,[]) ).
tff(f45,plain,
? [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))))) ),
inference(ennf_transformation,[],[f32]) ).
tff(f32,plain,
~ ! [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))))) ),
inference(rectify,[],[f31]) ).
tff(f31,negated_conjecture,
~ ! [X9: del,X10: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X9,X10),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X9,X10))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X9,X10),ap(c_2Ebinary__ieee_2Efloat__negate(X9,X10),ap(c_2Ebinary__ieee_2Efloat__plus__min(X9,X10),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X9,X10)))))) ),
inference(negated_conjecture,[],[f30]) ).
tff(f30,conjecture,
! [X9: del,X10: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X9,X10),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X9,X10))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X9,X10),ap(c_2Ebinary__ieee_2Efloat__negate(X9,X10),ap(c_2Ebinary__ieee_2Efloat__plus__min(X9,X10),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X9,X10)))))) ),
file('/export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
tff(f225,plain,
( ( sF8 = sF15 )
| ~ spl16_6 ),
inference(forward_demodulation,[],[f224,f76]) ).
tff(f224,plain,
( ( surj__ty_2Erealax_2Ereal(sF7) = sF15 )
| ~ spl16_6 ),
inference(forward_demodulation,[],[f223,f75]) ).
tff(f223,plain,
( ( sF15 = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,sF6)) )
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f221,f132]) ).
tff(f132,plain,
mem(sF6,ty_2Erealax_2Ereal),
inference(subsumption_resolution,[],[f128,f85]) ).
tff(f85,plain,
mem(sF5,ty_2Ebool_2Eitself(sF4)),
inference(superposition,[],[f70,f73]) ).
tff(f70,plain,
! [X0: del] : mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: del] : mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X11: del] : mem(c_2Ebool_2Ethe__value(X11),ty_2Ebool_2Eitself(X11)),
file('/export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780',mem_c_2Ebool_2Ethe__value) ).
tff(f128,plain,
( mem(sF6,ty_2Erealax_2Ereal)
| ~ mem(sF5,ty_2Ebool_2Eitself(sF4)) ),
inference(superposition,[],[f121,f74]) ).
tff(f121,plain,
! [X0: $i] :
( mem(ap(sF3,X0),ty_2Erealax_2Ereal)
| ~ mem(X0,ty_2Ebool_2Eitself(sF4)) ),
inference(resolution,[],[f60,f109]) ).
tff(f109,plain,
mem(sF3,arr(ty_2Ebool_2Eitself(sF4),ty_2Erealax_2Ereal)),
inference(forward_demodulation,[],[f107,f72]) ).
tff(f107,plain,
mem(sF3,arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)),ty_2Erealax_2Ereal)),
inference(superposition,[],[f67,f71]) ).
tff(f67,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Eulp(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Eulp(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Erealax_2Ereal)),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X9: del,X10: del] : mem(c_2Ebinary__ieee_2Eulp(X9,X10),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X9,X10)),ty_2Erealax_2Ereal)),
file('/export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780',mem_c_2Ebinary__ieee_2Eulp) ).
tff(f60,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780',ap_tp) ).
tff(f221,plain,
( ( sF15 = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,sF6)) )
| ~ mem(sF6,ty_2Erealax_2Ereal)
| ~ spl16_6 ),
inference(superposition,[],[f217,f63]) ).
tff(f63,plain,
! [X0: $i] :
( ( inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) = X0 )
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0] :
( ( inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) = X0 )
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0] :
( mem(X0,ty_2Erealax_2Ereal)
=> ( inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) = X0 ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3] :
( mem(X3,ty_2Erealax_2Ereal)
=> ( inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X3)) = X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780',stp_iso_mem_ty_2Erealax_2Ereal) ).
tff(f217,plain,
( ( sF15 = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(sF6)))) )
| ~ spl16_6 ),
inference(forward_demodulation,[],[f216,f83]) ).
tff(f216,plain,
( ( surj__ty_2Erealax_2Ereal(sF14) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(sF6)))) )
| ~ spl16_6 ),
inference(forward_demodulation,[],[f215,f171]) ).
tff(f171,plain,
( ( ap(sF9,sF12) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(sF6)) )
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f169]) ).
tff(f169,plain,
( spl16_6
<=> ( ap(sF9,sF12) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(sF6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
tff(f215,plain,
surj__ty_2Erealax_2Ereal(sF14) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF9,sF12))),
inference(forward_demodulation,[],[f214,f82]) ).
tff(f214,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF9,sF12))) = surj__ty_2Erealax_2Ereal(ap(sF9,sF13)),
inference(subsumption_resolution,[],[f212,f179]) ).
tff(f179,plain,
mem(sF12,ty_2Ebinary__ieee_2Efloat(sK0,sK1)),
inference(subsumption_resolution,[],[f178,f85]) ).
tff(f178,plain,
( mem(sF12,ty_2Ebinary__ieee_2Efloat(sK0,sK1))
| ~ mem(sF5,ty_2Ebool_2Eitself(sF4)) ),
inference(superposition,[],[f124,f80]) ).
tff(f124,plain,
! [X0: $i] :
( mem(ap(sF11,X0),ty_2Ebinary__ieee_2Efloat(sK0,sK1))
| ~ mem(X0,ty_2Ebool_2Eitself(sF4)) ),
inference(resolution,[],[f114,f60]) ).
tff(f114,plain,
mem(sF11,arr(ty_2Ebool_2Eitself(sF4),ty_2Ebinary__ieee_2Efloat(sK0,sK1))),
inference(forward_demodulation,[],[f112,f72]) ).
tff(f112,plain,
mem(sF11,arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebinary__ieee_2Efloat(sK0,sK1))),
inference(superposition,[],[f68,f79]) ).
tff(f68,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X9: del,X10: del] : mem(c_2Ebinary__ieee_2Efloat__plus__min(X9,X10),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X9,X10)),ty_2Ebinary__ieee_2Efloat(X9,X10))),
file('/export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
tff(f212,plain,
( ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF9,sF12))) = surj__ty_2Erealax_2Ereal(ap(sF9,sF13)) )
| ~ mem(sF12,ty_2Ebinary__ieee_2Efloat(sK0,sK1)) ),
inference(superposition,[],[f160,f81]) ).
tff(f160,plain,
! [X0: $i] :
( ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF9,X0))) = surj__ty_2Erealax_2Ereal(ap(sF9,ap(sF10,X0))) )
| ~ mem(X0,ty_2Ebinary__ieee_2Efloat(sK0,sK1)) ),
inference(forward_demodulation,[],[f157,f78]) ).
tff(f157,plain,
! [X0: $i] :
( ( surj__ty_2Erealax_2Ereal(ap(sF9,ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),X0))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF9,X0))) )
| ~ mem(X0,ty_2Ebinary__ieee_2Efloat(sK0,sK1)) ),
inference(superposition,[],[f62,f77]) ).
tff(f62,plain,
! [X2: $i,X0: del,X1: del] :
( ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2))) )
| ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1)) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: del,X1: del,X2] :
( ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2))) )
| ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1)) ),
inference(ennf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: del,X1: del,X2] :
( mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
=> ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2))) ) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X11: del,X12: del,X13] :
( mem(X13,ty_2Ebinary__ieee_2Efloat(X11,X12))
=> ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X11,X12),ap(c_2Ebinary__ieee_2Efloat__negate(X11,X12),X13))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X11,X12),X13))) ) ),
file('/export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
tff(f183,plain,
spl16_5,
inference(avatar_split_clause,[],[f180,f165]) ).
tff(f165,plain,
( spl16_5
<=> mem(ap(sF9,sF12),ty_2Erealax_2Ereal) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
tff(f180,plain,
mem(ap(sF9,sF12),ty_2Erealax_2Ereal),
inference(resolution,[],[f179,f122]) ).
tff(f122,plain,
! [X0: $i] :
( ~ mem(X0,ty_2Ebinary__ieee_2Efloat(sK0,sK1))
| mem(ap(sF9,X0),ty_2Erealax_2Ereal) ),
inference(resolution,[],[f60,f106]) ).
tff(f106,plain,
mem(sF9,arr(ty_2Ebinary__ieee_2Efloat(sK0,sK1),ty_2Erealax_2Ereal)),
inference(superposition,[],[f69,f77]) ).
tff(f69,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),arr(ty_2Ebinary__ieee_2Efloat(X0,X1),ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),arr(ty_2Ebinary__ieee_2Efloat(X0,X1),ty_2Erealax_2Ereal)),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X9: del,X10: del] : mem(c_2Ebinary__ieee_2Efloat__to__real(X9,X10),arr(ty_2Ebinary__ieee_2Efloat(X9,X10),ty_2Erealax_2Ereal)),
file('/export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780',mem_c_2Ebinary__ieee_2Efloat__to__real) ).
tff(f172,plain,
( ~ spl16_5
| spl16_6 ),
inference(avatar_split_clause,[],[f163,f169,f165]) ).
tff(f163,plain,
( ( ap(sF9,sF12) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(sF6)) )
| ~ mem(ap(sF9,sF12),ty_2Erealax_2Ereal) ),
inference(superposition,[],[f63,f144]) ).
tff(f144,plain,
surj__ty_2Erealax_2Ereal(ap(sF9,sF12)) = surj__ty_2Erealax_2Ereal(sF6),
inference(forward_demodulation,[],[f143,f74]) ).
tff(f143,plain,
surj__ty_2Erealax_2Ereal(ap(sF9,sF12)) = surj__ty_2Erealax_2Ereal(ap(sF3,sF5)),
inference(forward_demodulation,[],[f142,f71]) ).
tff(f142,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),sF5)) = surj__ty_2Erealax_2Ereal(ap(sF9,sF12)),
inference(forward_demodulation,[],[f141,f80]) ).
tff(f141,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),sF5)) = surj__ty_2Erealax_2Ereal(ap(sF9,ap(sF11,sF5))),
inference(forward_demodulation,[],[f140,f79]) ).
tff(f140,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),sF5)) = surj__ty_2Erealax_2Ereal(ap(sF9,ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),sF5))),
inference(forward_demodulation,[],[f139,f73]) ).
tff(f139,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(sF4))) = surj__ty_2Erealax_2Ereal(ap(sF9,ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(sF4)))),
inference(forward_demodulation,[],[f135,f72]) ).
tff(f135,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) = surj__ty_2Erealax_2Ereal(ap(sF9,ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))),
inference(superposition,[],[f61,f77]) ).
tff(f61,plain,
! [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ),
inference(rectify,[],[f27]) ).
tff(f27,axiom,
! [X9: del,X10: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X9,X10),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X9,X10)))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X9,X10),ap(c_2Ebinary__ieee_2Efloat__plus__min(X9,X10),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X9,X10))))) ),
file('/export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780',conj_thm_2Ebinary__ieee_2Eulp) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP018_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.35 % Computer : n032.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri May 3 18:59:08 EDT 2024
% 0.10/0.35 % CPUTime :
% 0.10/0.35 This is a TF0_THM_EQU_NAR problem
% 0.10/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.7HV1zC9lH1/Vampire---4.8_18780
% 0.58/0.84 % (18892)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.58/0.84 % (18890)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 (2995ds/51Mi)
% 0.58/0.84 % (18893)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 (2995ds/34Mi)
% 0.58/0.84 % (18894)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.58/0.84 % (18889)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 (2995ds/34Mi)
% 0.58/0.84 % (18891)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.84 % (18895)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 (2995ds/83Mi)
% 0.58/0.84 % (18896)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 (2995ds/56Mi)
% 0.58/0.84 % (18896)Refutation not found, incomplete strategy% (18896)------------------------------
% 0.58/0.84 % (18896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (18896)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (18896)Memory used [KB]: 1040
% 0.58/0.84 % (18896)Time elapsed: 0.003 s
% 0.58/0.84 % (18896)Instructions burned: 3 (million)
% 0.58/0.84 % (18894)Refutation not found, incomplete strategy% (18894)------------------------------
% 0.58/0.84 % (18894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (18894)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (18894)Memory used [KB]: 1040
% 0.58/0.84 % (18894)Time elapsed: 0.003 s
% 0.58/0.84 % (18894)Instructions burned: 3 (million)
% 0.58/0.84 % (18895)Refutation not found, incomplete strategy% (18895)------------------------------
% 0.58/0.84 % (18895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (18895)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (18895)Memory used [KB]: 1041
% 0.58/0.84 % (18895)Time elapsed: 0.003 s
% 0.58/0.84 % (18895)Instructions burned: 3 (million)
% 0.58/0.84 % (18896)------------------------------
% 0.58/0.84 % (18896)------------------------------
% 0.58/0.84 % (18889)Refutation not found, incomplete strategy% (18889)------------------------------
% 0.58/0.84 % (18889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (18894)------------------------------
% 0.58/0.84 % (18894)------------------------------
% 0.58/0.84 % (18893)Refutation not found, incomplete strategy% (18893)------------------------------
% 0.58/0.84 % (18893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (18893)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (18893)Memory used [KB]: 1063
% 0.58/0.84 % (18893)Time elapsed: 0.003 s
% 0.58/0.84 % (18893)Instructions burned: 4 (million)
% 0.58/0.84 % (18889)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (18889)Memory used [KB]: 1058
% 0.58/0.84 % (18889)Time elapsed: 0.004 s
% 0.58/0.84 % (18889)Instructions burned: 3 (million)
% 0.58/0.84 % (18895)------------------------------
% 0.58/0.84 % (18895)------------------------------
% 0.58/0.84 % (18893)------------------------------
% 0.58/0.84 % (18893)------------------------------
% 0.58/0.84 % (18889)------------------------------
% 0.58/0.84 % (18889)------------------------------
% 0.58/0.84 % (18897)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.58/0.84 % (18899)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.58/0.84 % (18898)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.84 % (18900)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.58/0.84 % (18901)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.58/0.85 % (18898)Refutation not found, incomplete strategy% (18898)------------------------------
% 0.58/0.85 % (18898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.85 % (18898)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.85
% 0.58/0.85 % (18898)Memory used [KB]: 1051
% 0.58/0.85 % (18898)Time elapsed: 0.003 s
% 0.58/0.85 % (18898)Instructions burned: 4 (million)
% 0.58/0.85 % (18901)Refutation not found, incomplete strategy% (18901)------------------------------
% 0.58/0.85 % (18901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.85 % (18901)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.85
% 0.58/0.85 % (18901)Memory used [KB]: 1049
% 0.58/0.85 % (18901)Time elapsed: 0.003 s
% 0.58/0.85 % (18901)Instructions burned: 4 (million)
% 0.58/0.85 % (18898)------------------------------
% 0.58/0.85 % (18898)------------------------------
% 0.58/0.85 % (18901)------------------------------
% 0.58/0.85 % (18901)------------------------------
% 0.58/0.85 % (18902)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.58/0.85 % (18899)First to succeed.
% 0.58/0.85 % (18903)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.58/0.85 % (18899)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18887"
% 0.58/0.85 % (18902)Refutation not found, incomplete strategy% (18902)------------------------------
% 0.58/0.85 % (18902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.85 % (18902)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.85
% 0.58/0.85 % (18902)Memory used [KB]: 1050
% 0.58/0.85 % (18902)Time elapsed: 0.003 s
% 0.58/0.85 % (18902)Instructions burned: 4 (million)
% 0.58/0.85 % (18902)------------------------------
% 0.58/0.85 % (18902)------------------------------
% 0.58/0.85 % (18899)Refutation found. Thanks to Tanya!
% 0.58/0.85 % SZS status Theorem for Vampire---4
% 0.58/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.85 % (18899)------------------------------
% 0.58/0.85 % (18899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.85 % (18899)Termination reason: Refutation
% 0.58/0.85
% 0.58/0.85 % (18899)Memory used [KB]: 1107
% 0.58/0.85 % (18899)Time elapsed: 0.008 s
% 0.58/0.85 % (18899)Instructions burned: 13 (million)
% 0.58/0.85 % (18887)Success in time 0.497 s
% 0.58/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------