TSTP Solution File: ITP018+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% 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 : n025.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 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 78 ( 36 unt; 0 def)
% Number of atoms : 159 ( 48 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 130 ( 49 ~; 39 |; 10 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 14 con; 0-2 aty)
% Number of variables : 74 ( 68 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f296,plain,
$false,
inference(subsumption_resolution,[],[f295,f138]) ).
fof(f138,plain,
sF8 != sF14,
inference(definition_folding,[],[f98,f137,f136,f135,f129,f128,f134,f133,f132,f131,f130,f129,f128,f127]) ).
fof(f127,plain,
c_2Ebinary__ieee_2Eulp(sK0,sK1) = sF4,
introduced(function_definition,[]) ).
fof(f130,plain,
ap(sF4,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f131,plain,
sF8 = ap(c_2Erealax_2Ereal__neg,sF7),
introduced(function_definition,[]) ).
fof(f132,plain,
c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1) = sF9,
introduced(function_definition,[]) ).
fof(f133,plain,
sF10 = c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),
introduced(function_definition,[]) ).
fof(f134,plain,
c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1) = sF11,
introduced(function_definition,[]) ).
fof(f128,plain,
sF5 = ty_2Epair_2Eprod(sK0,sK1),
introduced(function_definition,[]) ).
fof(f129,plain,
sF6 = c_2Ebool_2Ethe__value(sF5),
introduced(function_definition,[]) ).
fof(f135,plain,
sF12 = ap(sF11,sF6),
introduced(function_definition,[]) ).
fof(f136,plain,
ap(sF10,sF12) = sF13,
introduced(function_definition,[]) ).
fof(f137,plain,
ap(sF9,sF13) = sF14,
introduced(function_definition,[]) ).
fof(f98,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,[],[f80]) ).
fof(f80,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])],[f76,f79,f78]) ).
fof(f78,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_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))))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,X1)))) )
& ne(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X1] :
( ne(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))))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(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(f76,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,[],[f45]) ).
fof(f45,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/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
fof(f295,plain,
sF8 = sF14,
inference(forward_demodulation,[],[f294,f131]) ).
fof(f294,plain,
ap(c_2Erealax_2Ereal__neg,sF7) = sF14,
inference(backward_demodulation,[],[f261,f290]) ).
fof(f290,plain,
ap(sF9,sF12) = sF7,
inference(forward_demodulation,[],[f289,f130]) ).
fof(f289,plain,
ap(sF4,sF6) = ap(sF9,sF12),
inference(forward_demodulation,[],[f288,f127]) ).
fof(f288,plain,
ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),sF6) = ap(sF9,sF12),
inference(forward_demodulation,[],[f287,f132]) ).
fof(f287,plain,
ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),sF6) = ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),sF12),
inference(forward_demodulation,[],[f286,f135]) ).
fof(f286,plain,
ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),sF6) = ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(sF11,sF6)),
inference(forward_demodulation,[],[f285,f134]) ).
fof(f285,plain,
ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),sF6) = ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),sF6)),
inference(forward_demodulation,[],[f284,f129]) ).
fof(f284,plain,
ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK0,sK1),c_2Ebool_2Ethe__value(sF5))) = ap(c_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(sF5)),
inference(forward_demodulation,[],[f281,f128]) ).
fof(f281,plain,
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_2Ebinary__ieee_2Eulp(sK0,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK0,sK1))),
inference(resolution,[],[f241,f97]) ).
fof(f97,plain,
ne(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f241,plain,
! [X15] :
( ~ ne(X15)
| ap(c_2Ebinary__ieee_2Efloat__to__real(X15,sK1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X15,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X15,sK1)))) = ap(c_2Ebinary__ieee_2Eulp(X15,sK1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X15,sK1))) ),
inference(resolution,[],[f105,f99]) ).
fof(f99,plain,
ne(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f105,plain,
! [X0,X1] :
( ~ ne(X1)
| ~ ne(X0)
| 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__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ~ ne(X0)
| ! [X1] :
( ~ ne(X1)
| 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__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> 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__plus__min(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/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eulp) ).
fof(f261,plain,
ap(c_2Erealax_2Ereal__neg,ap(sF9,sF12)) = sF14,
inference(forward_demodulation,[],[f260,f137]) ).
fof(f260,plain,
ap(sF9,sF13) = ap(c_2Erealax_2Ereal__neg,ap(sF9,sF12)),
inference(forward_demodulation,[],[f259,f136]) ).
fof(f259,plain,
ap(sF9,ap(sF10,sF12)) = ap(c_2Erealax_2Ereal__neg,ap(sF9,sF12)),
inference(forward_demodulation,[],[f258,f132]) ).
fof(f258,plain,
ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(sF10,sF12)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),sF12)),
inference(forward_demodulation,[],[f257,f133]) ).
fof(f257,plain,
ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),sF12)) = ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),sF12)),
inference(subsumption_resolution,[],[f256,f99]) ).
fof(f256,plain,
( ~ ne(sK1)
| ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),sF12)) = ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),sF12)) ),
inference(subsumption_resolution,[],[f253,f97]) ).
fof(f253,plain,
( ~ ne(sK0)
| ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),sF12)) = ap(c_2Ebinary__ieee_2Efloat__to__real(sK0,sK1),ap(c_2Ebinary__ieee_2Efloat__negate(sK0,sK1),sF12))
| ~ ne(sK1) ),
inference(resolution,[],[f248,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
| ~ ne(X1)
| ~ ne(X0)
| ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ ne(X0)
| ! [X1] :
( ~ ne(X1)
| ! [X2] :
( ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
| ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ! [X2] :
( mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
=> ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(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/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
fof(f248,plain,
mem(sF12,ty_2Ebinary__ieee_2Efloat(sK0,sK1)),
inference(forward_demodulation,[],[f247,f135]) ).
fof(f247,plain,
mem(ap(sF11,sF6),ty_2Ebinary__ieee_2Efloat(sK0,sK1)),
inference(subsumption_resolution,[],[f246,f143]) ).
fof(f143,plain,
ne(sF5),
inference(subsumption_resolution,[],[f142,f97]) ).
fof(f142,plain,
( ne(sF5)
| ~ ne(sK0) ),
inference(subsumption_resolution,[],[f141,f99]) ).
fof(f141,plain,
( ne(sF5)
| ~ ne(sK1)
| ~ ne(sK0) ),
inference(superposition,[],[f102,f128]) ).
fof(f102,plain,
! [X0,X1] :
( ne(ty_2Epair_2Eprod(X0,X1))
| ~ ne(X0)
| ~ ne(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ ne(X0)
| ! [X1] :
( ~ ne(X1)
| ne(ty_2Epair_2Eprod(X0,X1)) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',ne_ty_2Epair_2Eprod) ).
fof(f246,plain,
( ~ ne(sF5)
| mem(ap(sF11,sF6),ty_2Ebinary__ieee_2Efloat(sK0,sK1)) ),
inference(resolution,[],[f217,f140]) ).
fof(f140,plain,
( mem(sF6,ty_2Ebool_2Eitself(sF5))
| ~ ne(sF5) ),
inference(superposition,[],[f119,f129]) ).
fof(f119,plain,
! [X0] :
( mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0))
| ~ ne(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0))
| ~ ne(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,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/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).
fof(f217,plain,
! [X0] :
( ~ mem(X0,ty_2Ebool_2Eitself(sF5))
| mem(ap(sF11,X0),ty_2Ebinary__ieee_2Efloat(sK0,sK1)) ),
inference(resolution,[],[f212,f118]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( ~ mem(X0,arr(X2,X1))
| ~ mem(X3,X2)
| mem(ap(X0,X3),X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ mem(X0,arr(X2,X1))
| ! [X3] :
( mem(ap(X0,X3),X1)
| ~ mem(X3,X2) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X2,X0] :
( ~ mem(X1,arr(X0,X2))
| ! [X3] :
( mem(ap(X1,X3),X2)
| ~ mem(X3,X0) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( mem(X1,arr(X0,X2))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X1,X3),X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
fof(f212,plain,
mem(sF11,arr(ty_2Ebool_2Eitself(sF5),ty_2Ebinary__ieee_2Efloat(sK0,sK1))),
inference(forward_demodulation,[],[f211,f128]) ).
fof(f211,plain,
mem(sF11,arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebinary__ieee_2Efloat(sK0,sK1))),
inference(subsumption_resolution,[],[f210,f97]) ).
fof(f210,plain,
( ~ ne(sK0)
| mem(sF11,arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebinary__ieee_2Efloat(sK0,sK1))) ),
inference(subsumption_resolution,[],[f208,f99]) ).
fof(f208,plain,
( ~ ne(sK1)
| mem(sF11,arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(sK0,sK1)),ty_2Ebinary__ieee_2Efloat(sK0,sK1)))
| ~ ne(sK0) ),
inference(superposition,[],[f100,f134]) ).
fof(f100,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(X0)
| ~ ne(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ~ ne(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) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,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/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ITP018+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26 % Computer : n025.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Aug 29 23:44:44 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.10/0.38 % (13384)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.38 % (13391)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)
% 0.10/0.39 % (13377)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.40 % (13395)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)
% 0.10/0.40 % (13378)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.40 % (13370)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.10/0.41 % (13376)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.41 % (13376)Instruction limit reached!
% 0.10/0.41 % (13376)------------------------------
% 0.10/0.41 % (13376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.41 % (13376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.41 % (13376)Termination reason: Unknown
% 0.10/0.41 % (13376)Termination phase: Preprocessing 3
% 0.10/0.41
% 0.10/0.41 % (13376)Memory used [KB]: 895
% 0.10/0.41 % (13376)Time elapsed: 0.003 s
% 0.10/0.41 % (13376)Instructions burned: 2 (million)
% 0.10/0.41 % (13376)------------------------------
% 0.10/0.41 % (13376)------------------------------
% 0.10/0.42 % (13375)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.42 % (13381)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.42 % (13379)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)
% 0.10/0.42 % (13380)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.10/0.42 % (13368)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.10/0.43 % (13375)Instruction limit reached!
% 0.10/0.43 % (13375)------------------------------
% 0.10/0.43 % (13375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.43 % (13375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.43 % (13375)Termination reason: Unknown
% 0.10/0.43 % (13375)Termination phase: Saturation
% 0.10/0.43
% 0.10/0.43 % (13375)Memory used [KB]: 5500
% 0.10/0.43 % (13375)Time elapsed: 0.075 s
% 0.10/0.43 % (13375)Instructions burned: 7 (million)
% 0.10/0.43 % (13375)------------------------------
% 0.10/0.43 % (13375)------------------------------
% 0.10/0.43 % (13374)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.44 % (13387)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)
% 0.10/0.44 TRYING [1]
% 0.10/0.44 % (13371)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.44 % (13373)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.10/0.44 % (13390)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.10/0.44 % (13372)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.44 % (13395)First to succeed.
% 0.10/0.44 TRYING [1]
% 0.10/0.45 TRYING [2]
% 0.10/0.45 % (13395)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (13395)------------------------------
% 0.10/0.45 % (13395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (13395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (13395)Termination reason: Refutation
% 0.10/0.45
% 0.10/0.45 % (13395)Memory used [KB]: 1279
% 0.10/0.45 % (13395)Time elapsed: 0.146 s
% 0.10/0.45 % (13395)Instructions burned: 13 (million)
% 0.10/0.45 % (13395)------------------------------
% 0.10/0.45 % (13395)------------------------------
% 0.10/0.45 % (13367)Success in time 0.182 s
%------------------------------------------------------------------------------