TSTP Solution File: ITP018+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n026.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 17:16:30 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 58 ( 6 unt; 0 def)
% Number of atoms : 158 ( 24 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 167 ( 67 ~; 56 |; 10 &)
% ( 2 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 69 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f125,plain,
$false,
inference(avatar_sat_refutation,[],[f110,f116,f124]) ).
fof(f124,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f122,f73]) ).
fof(f73,plain,
ne(sK0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ne(sK1)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != 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)))))
& ne(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f47,f63,f62]) ).
fof(f62,plain,
( ? [X0] :
( ? [X1] :
( ne(X1)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) != 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))))) )
& ne(X0) )
=> ( ? [X1] :
( ne(X1)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,X1)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,X1))))) )
& ne(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X1] :
( ne(X1)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,X1)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,X1))))) )
=> ( ne(sK1)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != 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,[]) ).
fof(f47,plain,
? [X0] :
( ? [X1] :
( ne(X1)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) != 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))))) )
& ne(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = 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,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X10,X11),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X10,X11)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X10,X11),ap(c_2Ebinary__ieee_2Efloat__negate(X10,X11),ap(c_2Ebinary__ieee_2Efloat__plus__min(X10,X11),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X10,X11))))) ) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X10,X11),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X10,X11)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X10,X11),ap(c_2Ebinary__ieee_2Efloat__negate(X10,X11),ap(c_2Ebinary__ieee_2Efloat__plus__min(X10,X11),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X10,X11))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
fof(f122,plain,
( ~ ne(sK0)
| spl3_2 ),
inference(subsumption_resolution,[],[f121,f75]) ).
fof(f75,plain,
ne(sK1),
inference(cnf_transformation,[],[f64]) ).
fof(f121,plain,
( ~ ne(sK1)
| ~ ne(sK0)
| spl3_2 ),
inference(resolution,[],[f120,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ne(ty_2Epair_2Eprod(X0,X1))
| ~ ne(X0)
| ~ ne(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ ne(X0)
| ! [X1] :
( ne(ty_2Epair_2Eprod(X0,X1))
| ~ ne(X1) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ne(ty_2Epair_2Eprod(X0,X1)) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X8] :
( ne(X8)
=> ! [X9] :
( ne(X9)
=> ne(ty_2Epair_2Eprod(X8,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ne_ty_2Epair_2Eprod) ).
fof(f120,plain,
( ~ ne(ty_2Epair_2Eprod(sK0,sK1))
| spl3_2 ),
inference(resolution,[],[f119,f85]) ).
fof(f85,plain,
! [X0] :
( mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0))
| ~ ne(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ne(X0)
=> mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X12] :
( ne(X12)
=> mem(c_2Ebool_2Ethe__value(X12),ty_2Ebool_2Eitself(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).
fof(f119,plain,
( ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)))
| spl3_2 ),
inference(subsumption_resolution,[],[f118,f75]) ).
fof(f118,plain,
( ~ ne(sK1)
| ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)))
| spl3_2 ),
inference(subsumption_resolution,[],[f117,f73]) ).
fof(f117,plain,
( ~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)))
| ~ ne(sK0)
| ~ ne(sK1)
| spl3_2 ),
inference(resolution,[],[f109,f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X0),X2),ty_2Ebinary__ieee_2Efloat(X1,X0))
| ~ ne(X0)
| ~ ne(X1)
| ~ mem(X2,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X0))) ),
inference(resolution,[],[f76,f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ mem(X1,arr(X2,X0))
| mem(ap(X1,X3),X0)
| ~ mem(X3,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X1,X3),X0)
| ~ mem(X3,X2) )
| ~ mem(X1,arr(X2,X0)) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X0,X2,X1] :
( ! [X3] :
( mem(ap(X2,X3),X0)
| ~ mem(X3,X1) )
| ~ mem(X2,arr(X1,X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X2,X1] :
( mem(X2,arr(X1,X0))
=> ! [X3] :
( mem(X3,X1)
=> mem(ap(X2,X3),X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).
fof(f76,plain,
! [X0,X1] :
( mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1)))
| ~ ne(X1)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ~ ne(X1)
| mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> 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,[],[f15]) ).
fof(f15,axiom,
! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> mem(c_2Ebinary__ieee_2Efloat__plus__min(X10,X11),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X10,X11)),ty_2Ebinary__ieee_2Efloat(X10,X11))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
fof(f109,plain,
( ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1))
| spl3_2 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl3_2
<=> mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f116,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f114,f73]) ).
fof(f114,plain,
( ~ ne(sK0)
| spl3_1 ),
inference(subsumption_resolution,[],[f113,f75]) ).
fof(f113,plain,
( ~ ne(sK1)
| ~ ne(sK0)
| spl3_1 ),
inference(trivial_inequality_removal,[],[f112]) ).
fof(f112,plain,
( ~ ne(sK1)
| ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))
| ~ ne(sK0)
| spl3_1 ),
inference(superposition,[],[f105,f80]) ).
fof(f80,plain,
! [X0,X1] :
( 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)))) = ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))
| ~ ne(X1)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( 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)))) = ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> 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)))) = ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ap(c_2Ebinary__ieee_2Eulp(X10,X11),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X10,X11))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X10,X11),ap(c_2Ebinary__ieee_2Efloat__plus__min(X10,X11),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X10,X11)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eulp) ).
fof(f105,plain,
( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))
| spl3_1 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl3_1
<=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f110,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f101,f107,f103]) ).
fof(f101,plain,
( ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1))
| ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) ),
inference(subsumption_resolution,[],[f100,f75]) ).
fof(f100,plain,
( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))
| ~ ne(sK1)
| ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1)) ),
inference(subsumption_resolution,[],[f97,f73]) ).
fof(f97,plain,
( ~ ne(sK0)
| ~ ne(sK1)
| ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),ty_2Ebinary__ieee_2Efloat(sK0,sK1))
| ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) ),
inference(superposition,[],[f74,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2))
| ~ ne(X1)
| ~ ne(X0)
| ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ ne(X0)
| ! [X1] :
( ! [X2] :
( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2))
| ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1)) )
| ~ ne(X1) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ! [X2] :
( mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X12] :
( ne(X12)
=> ! [X13] :
( ne(X13)
=> ! [X14] :
( mem(X14,ty_2Ebinary__ieee_2Efloat(X12,X13))
=> ap(c_2Ebinary__ieee_2Efloat__to__real(X12,X13),ap(c_2Ebinary__ieee_2Efloat__negate(X12,X13),X14)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X12,X13),X14)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
fof(f74,plain,
ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1)))) != 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,[],[f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ITP018+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 23:50:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (17498)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.51 % (17489)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (17481)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (17473)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (17470)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (17468)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (17470)Instruction limit reached!
% 0.20/0.53 % (17470)------------------------------
% 0.20/0.53 % (17470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17470)Termination reason: Unknown
% 0.20/0.53 % (17470)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (17470)Memory used [KB]: 6012
% 0.20/0.53 % (17470)Time elapsed: 0.113 s
% 0.20/0.53 % (17470)Instructions burned: 3 (million)
% 0.20/0.53 % (17470)------------------------------
% 0.20/0.53 % (17470)------------------------------
% 0.20/0.53 % (17483)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (17494)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.53 % (17471)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (17467)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (17493)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (17472)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (17492)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.53 % (17477)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54 % (17474)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (17475)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (17474)First to succeed.
% 0.20/0.54 % (17473)Instruction limit reached!
% 0.20/0.54 % (17473)------------------------------
% 0.20/0.54 % (17473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17495)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (17474)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (17474)------------------------------
% 0.20/0.54 % (17474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17474)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (17474)Memory used [KB]: 6012
% 0.20/0.54 % (17474)Time elapsed: 0.126 s
% 0.20/0.54 % (17474)Instructions burned: 5 (million)
% 0.20/0.54 % (17474)------------------------------
% 0.20/0.54 % (17474)------------------------------
% 0.20/0.54 % (17463)Success in time 0.181 s
%------------------------------------------------------------------------------