TSTP Solution File: ITP018_2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP018_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:21:40 EDT 2022
% Result : Theorem 0.14s 0.50s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 56
% Syntax : Number of formulae : 120 ( 71 unt; 33 typ; 0 def)
% Number of atoms : 347 ( 55 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 40 ( 20 ~; 11 |; 0 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 240 ( 240 fml; 0 var)
% Number of types : 5 ( 3 usr)
% Number of type conns : 33 ( 21 >; 12 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 9 con; 0-3 aty)
% Number of variables : 82 ( 76 !; 6 ?; 70 :)
% 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 * $i ) > $i ).
tff(func_def_26,type,
sK1: ( $i * del * $i ) > $i ).
tff(func_def_27,type,
sK2: del ).
tff(func_def_28,type,
sK3: del ).
tff(func_def_32,type,
sF7: del ).
tff(func_def_37,type,
sF12: tp__ty_2Erealax_2Ereal ).
tff(func_def_41,type,
sF16: tp__ty_2Erealax_2Ereal ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(f370,plain,
$false,
inference(subsumption_resolution,[],[f369,f139]) ).
tff(f139,plain,
sF16 != sF12,
inference(definition_folding,[],[f107,f138,f137,f136,f130,f129,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126]) ).
tff(f126,plain,
sF4 = c_2Ebinary__ieee_2Efloat__to__real(sK3,sK2),
introduced(function_definition,[]) ).
tff(f127,plain,
sF5 = c_2Ebinary__ieee_2Efloat__negate(sK3,sK2),
introduced(function_definition,[]) ).
tff(f128,plain,
c_2Ebinary__ieee_2Efloat__plus__min(sK3,sK2) = sF6,
introduced(function_definition,[]) ).
tff(f131,plain,
ap(sF6,sF8) = sF9,
introduced(function_definition,[]) ).
tff(f132,plain,
sF10 = ap(sF5,sF9),
introduced(function_definition,[]) ).
tff(f133,plain,
ap(sF4,sF10) = sF11,
introduced(function_definition,[]) ).
tff(f134,plain,
sF12 = surj__ty_2Erealax_2Ereal(sF11),
introduced(function_definition,[]) ).
tff(f135,plain,
c_2Ebinary__ieee_2Eulp(sK3,sK2) = sF13,
introduced(function_definition,[]) ).
tff(f129,plain,
sF7 = ty_2Epair_2Eprod(sK3,sK2),
introduced(function_definition,[]) ).
tff(f130,plain,
sF8 = c_2Ebool_2Ethe__value(sF7),
introduced(function_definition,[]) ).
tff(f136,plain,
ap(sF13,sF8) = sF14,
introduced(function_definition,[]) ).
tff(f137,plain,
ap(c_2Erealax_2Ereal__neg,sF14) = sF15,
introduced(function_definition,[]) ).
tff(f138,plain,
sF16 = surj__ty_2Erealax_2Ereal(sF15),
introduced(function_definition,[]) ).
tff(f107,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK3,sK2),ap(c_2Ebinary__ieee_2Efloat__negate(sK3,sK2),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK3,sK2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK3,sK2)))))) != surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK3,sK2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK3,sK2))))),
inference(cnf_transformation,[],[f82]) ).
tff(f82,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK3,sK2),ap(c_2Ebinary__ieee_2Efloat__negate(sK3,sK2),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK3,sK2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK3,sK2)))))) != surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK3,sK2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK3,sK2))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f80,f81]) ).
tff(f81,plain,
( ? [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X1,X0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X0))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X0),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X0)))))) )
=> ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK3,sK2),ap(c_2Ebinary__ieee_2Efloat__negate(sK3,sK2),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK3,sK2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK3,sK2)))))) != surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK3,sK2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK3,sK2))))) ) ),
introduced(choice_axiom,[]) ).
tff(f80,plain,
? [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X1,X0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X0))))) != surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X0),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X0)))))) ),
inference(rectify,[],[f67]) ).
tff(f67,plain,
? [X1: del,X0: 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,[],[f43]) ).
tff(f43,plain,
~ ! [X1: del,X0: 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/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
tff(f369,plain,
sF16 = sF12,
inference(backward_demodulation,[],[f138,f368]) ).
tff(f368,plain,
surj__ty_2Erealax_2Ereal(sF15) = sF12,
inference(forward_demodulation,[],[f366,f137]) ).
tff(f366,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,sF14)) = sF12,
inference(backward_demodulation,[],[f346,f362]) ).
tff(f362,plain,
ap(sF4,sF9) = sF14,
inference(forward_demodulation,[],[f361,f264]) ).
tff(f264,plain,
inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(sF14)) = sF14,
inference(resolution,[],[f253,f97]) ).
tff(f97,plain,
! [X0: $i] :
( ~ mem(X0,ty_2Erealax_2Ereal)
| ( inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) = X0 ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0] :
( ( inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(X0)) = X0 )
| ~ mem(X0,ty_2Erealax_2Ereal) ),
inference(ennf_transformation,[],[f39]) ).
tff(f39,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/benchmark/theBenchmark.p',stp_iso_mem_ty_2Erealax_2Ereal) ).
tff(f253,plain,
mem(sF14,ty_2Erealax_2Ereal),
inference(forward_demodulation,[],[f252,f136]) ).
tff(f252,plain,
mem(ap(sF13,sF8),ty_2Erealax_2Ereal),
inference(resolution,[],[f204,f142]) ).
tff(f142,plain,
mem(sF8,ty_2Ebool_2Eitself(sF7)),
inference(superposition,[],[f94,f130]) ).
tff(f94,plain,
! [X0: del] : mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)),
inference(cnf_transformation,[],[f55]) ).
tff(f55,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/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).
tff(f204,plain,
! [X19: $i] :
( ~ mem(X19,ty_2Ebool_2Eitself(sF7))
| mem(ap(sF13,X19),ty_2Erealax_2Ereal) ),
inference(resolution,[],[f114,f161]) ).
tff(f161,plain,
mem(sF13,arr(ty_2Ebool_2Eitself(sF7),ty_2Erealax_2Ereal)),
inference(forward_demodulation,[],[f160,f135]) ).
tff(f160,plain,
mem(c_2Ebinary__ieee_2Eulp(sK3,sK2),arr(ty_2Ebool_2Eitself(sF7),ty_2Erealax_2Ereal)),
inference(superposition,[],[f96,f129]) ).
tff(f96,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Eulp(X1,X0),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X0)),ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Eulp(X1,X0),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X0)),ty_2Erealax_2Ereal)),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X10: del,X9: del] : mem(c_2Ebinary__ieee_2Eulp(X9,X10),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X9,X10)),ty_2Erealax_2Ereal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Eulp) ).
tff(f114,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X2,arr(X1,X0))
| mem(ap(X2,X3),X0)
| ~ mem(X3,X1) ),
inference(cnf_transformation,[],[f70]) ).
tff(f70,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( ~ mem(X3,X1)
| mem(ap(X2,X3),X0) )
| ~ mem(X2,arr(X1,X0)) ),
inference(ennf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X1,X0))
=> ! [X3] :
( mem(X3,X1)
=> mem(ap(X2,X3),X0) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X1: del,X0: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
tff(f361,plain,
ap(sF4,sF9) = inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(sF14)),
inference(forward_demodulation,[],[f358,f236]) ).
tff(f236,plain,
surj__ty_2Erealax_2Ereal(sF14) = surj__ty_2Erealax_2Ereal(ap(sF4,sF9)),
inference(forward_demodulation,[],[f235,f136]) ).
tff(f235,plain,
surj__ty_2Erealax_2Ereal(ap(sF13,sF8)) = surj__ty_2Erealax_2Ereal(ap(sF4,sF9)),
inference(forward_demodulation,[],[f234,f135]) ).
tff(f234,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK3,sK2),sF8)) = surj__ty_2Erealax_2Ereal(ap(sF4,sF9)),
inference(forward_demodulation,[],[f233,f131]) ).
tff(f233,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK3,sK2),sF8)) = surj__ty_2Erealax_2Ereal(ap(sF4,ap(sF6,sF8))),
inference(forward_demodulation,[],[f232,f128]) ).
tff(f232,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK3,sK2),sF8)) = surj__ty_2Erealax_2Ereal(ap(sF4,ap(c_2Ebinary__ieee_2Efloat__plus__min(sK3,sK2),sF8))),
inference(forward_demodulation,[],[f231,f130]) ).
tff(f231,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK3,sK2),c_2Ebool_2Ethe__value(sF7))) = surj__ty_2Erealax_2Ereal(ap(sF4,ap(c_2Ebinary__ieee_2Efloat__plus__min(sK3,sK2),c_2Ebool_2Ethe__value(sF7)))),
inference(forward_demodulation,[],[f228,f129]) ).
tff(f228,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(sK3,sK2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK3,sK2)))) = surj__ty_2Erealax_2Ereal(ap(sF4,ap(c_2Ebinary__ieee_2Efloat__plus__min(sK3,sK2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK3,sK2))))),
inference(superposition,[],[f105,f126]) ).
tff(f105,plain,
! [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X0))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X1,X0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X0)))) ),
inference(cnf_transformation,[],[f79]) ).
tff(f79,plain,
! [X0: del,X1: del] : ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X0))))) = surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Eulp(X1,X0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X0)))) ),
inference(rectify,[],[f45]) ).
tff(f45,plain,
! [X1: del,X0: 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/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eulp) ).
tff(f358,plain,
inj__ty_2Erealax_2Ereal(surj__ty_2Erealax_2Ereal(ap(sF4,sF9))) = ap(sF4,sF9),
inference(resolution,[],[f341,f97]) ).
tff(f341,plain,
mem(ap(sF4,sF9),ty_2Erealax_2Ereal),
inference(forward_demodulation,[],[f337,f126]) ).
tff(f337,plain,
mem(ap(c_2Ebinary__ieee_2Efloat__to__real(sK3,sK2),sF9),ty_2Erealax_2Ereal),
inference(resolution,[],[f327,f198]) ).
tff(f198,plain,
! [X8: del,X9: $i,X7: del] :
( ~ mem(X9,ty_2Ebinary__ieee_2Efloat(X7,X8))
| mem(ap(c_2Ebinary__ieee_2Efloat__to__real(X7,X8),X9),ty_2Erealax_2Ereal) ),
inference(resolution,[],[f114,f119]) ).
tff(f119,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),arr(ty_2Ebinary__ieee_2Efloat(X1,X0),ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),arr(ty_2Ebinary__ieee_2Efloat(X1,X0),ty_2Erealax_2Ereal)),
inference(rectify,[],[f49]) ).
tff(f49,plain,
! [X1: del,X0: 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/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__to__real) ).
tff(f327,plain,
mem(sF9,ty_2Ebinary__ieee_2Efloat(sK3,sK2)),
inference(forward_demodulation,[],[f326,f131]) ).
tff(f326,plain,
mem(ap(sF6,sF8),ty_2Ebinary__ieee_2Efloat(sK3,sK2)),
inference(resolution,[],[f203,f142]) ).
tff(f203,plain,
! [X18: $i] :
( ~ mem(X18,ty_2Ebool_2Eitself(sF7))
| mem(ap(sF6,X18),ty_2Ebinary__ieee_2Efloat(sK3,sK2)) ),
inference(resolution,[],[f114,f182]) ).
tff(f182,plain,
mem(sF6,arr(ty_2Ebool_2Eitself(sF7),ty_2Ebinary__ieee_2Efloat(sK3,sK2))),
inference(forward_demodulation,[],[f180,f129]) ).
tff(f180,plain,
mem(sF6,arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK3,sK2)),ty_2Ebinary__ieee_2Efloat(sK3,sK2))),
inference(superposition,[],[f121,f128]) ).
tff(f121,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__plus__min(X1,X0),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X0)),ty_2Ebinary__ieee_2Efloat(X1,X0))),
inference(cnf_transformation,[],[f88]) ).
tff(f88,plain,
! [X0: del,X1: del] : mem(c_2Ebinary__ieee_2Efloat__plus__min(X1,X0),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X0)),ty_2Ebinary__ieee_2Efloat(X1,X0))),
inference(rectify,[],[f35]) ).
tff(f35,plain,
! [X1: del,X0: 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/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
tff(f346,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF4,sF9))) = sF12,
inference(forward_demodulation,[],[f345,f134]) ).
tff(f345,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF4,sF9))) = surj__ty_2Erealax_2Ereal(sF11),
inference(forward_demodulation,[],[f344,f133]) ).
tff(f344,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF4,sF9))) = surj__ty_2Erealax_2Ereal(ap(sF4,sF10)),
inference(forward_demodulation,[],[f343,f132]) ).
tff(f343,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF4,sF9))) = surj__ty_2Erealax_2Ereal(ap(sF4,ap(sF5,sF9))),
inference(forward_demodulation,[],[f342,f127]) ).
tff(f342,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(sF4,sF9))) = surj__ty_2Erealax_2Ereal(ap(sF4,ap(c_2Ebinary__ieee_2Efloat__negate(sK3,sK2),sF9))),
inference(forward_demodulation,[],[f338,f126]) ).
tff(f338,plain,
surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(sK3,sK2),ap(c_2Ebinary__ieee_2Efloat__negate(sK3,sK2),sF9))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK3,sK2),sF9))),
inference(resolution,[],[f327,f101]) ).
tff(f101,plain,
! [X2: $i,X0: del,X1: del] :
( ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X1,X0))
| ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X0),X2))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),X2))) ) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: del,X1: del,X2] :
( ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X1,X0))
| ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X0),X2))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),X2))) ) ),
inference(ennf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: del,X1: del,X2] :
( mem(X2,ty_2Ebinary__ieee_2Efloat(X1,X0))
=> ( surj__ty_2Erealax_2Ereal(ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X0),X2))) = surj__ty_2Erealax_2Ereal(ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X0),X2))) ) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X12: del,X11: 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/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : ITP018_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n012.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 23:34:51 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.45 % (24250)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.45 % (24249)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.45 % (24254)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.46 % (24266)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.14/0.46 % (24246)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.46 % (24257)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.46 % (24262)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.46 % (24265)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.46 % (24258)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.48 % (24246)Instruction limit reached!
% 0.14/0.48 % (24246)------------------------------
% 0.14/0.48 % (24246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (24246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (24246)Termination reason: Unknown
% 0.14/0.48 % (24246)Termination phase: Saturation
% 0.14/0.48
% 0.14/0.48 % (24246)Memory used [KB]: 5500
% 0.14/0.48 % (24246)Time elapsed: 0.126 s
% 0.14/0.48 % (24246)Instructions burned: 8 (million)
% 0.14/0.48 % (24246)------------------------------
% 0.14/0.48 % (24246)------------------------------
% 0.14/0.48 % (24251)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.49 % (24254)First to succeed.
% 0.14/0.50 % (24247)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.50 % (24247)Instruction limit reached!
% 0.14/0.50 % (24247)------------------------------
% 0.14/0.50 % (24247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (24247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (24247)Termination reason: Unknown
% 0.14/0.50 % (24247)Termination phase: Preprocessing 3
% 0.14/0.50
% 0.14/0.50 % (24247)Memory used [KB]: 895
% 0.14/0.50 % (24247)Time elapsed: 0.003 s
% 0.14/0.50 % (24247)Instructions burned: 2 (million)
% 0.14/0.50 % (24247)------------------------------
% 0.14/0.50 % (24247)------------------------------
% 0.14/0.50 % (24254)Refutation found. Thanks to Tanya!
% 0.14/0.50 % SZS status Theorem for theBenchmark
% 0.14/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.50 % (24254)------------------------------
% 0.14/0.50 % (24254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (24254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (24254)Termination reason: Refutation
% 0.14/0.50
% 0.14/0.50 % (24254)Memory used [KB]: 1279
% 0.14/0.50 % (24254)Time elapsed: 0.129 s
% 0.14/0.50 % (24254)Instructions burned: 18 (million)
% 0.14/0.50 % (24254)------------------------------
% 0.14/0.50 % (24254)------------------------------
% 0.14/0.50 % (24238)Success in time 0.194 s
%------------------------------------------------------------------------------