TSTP Solution File: LCL789-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL789-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 : Tue May 21 00:34:19 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 49
% Syntax : Number of formulae : 77 ( 50 unt; 0 def)
% Number of atoms : 104 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 5 ~; 3 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 25 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-5 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f476,plain,
$false,
inference(avatar_sat_refutation,[],[f358,f363,f368,f373,f378,f383,f388,f393,f398,f403,f408,f413,f418,f423,f428,f433,f438,f443,f448,f453,f459,f464,f469,f474,f475]) ).
fof(f475,plain,
spl0_21,
inference(avatar_split_clause,[],[f299,f456]) ).
fof(f456,plain,
( spl0_21
<=> c_Type_Otyping(v_e____,v_u____,v_T____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f299,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f474,plain,
spl0_24,
inference(avatar_split_clause,[],[f295,f471]) ).
fof(f471,plain,
( spl0_24
<=> hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f295,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).
fof(f469,plain,
spl0_23,
inference(avatar_split_clause,[],[f25,f466]) ).
fof(f466,plain,
( spl0_23
<=> c_Type_Otyping(v_ea______,v_ua______,v_T____) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f25,axiom,
c_Type_Otyping(v_ea______,v_ua______,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var_I4_J_0) ).
fof(f464,plain,
spl0_22,
inference(avatar_split_clause,[],[f1,f461]) ).
fof(f461,plain,
( spl0_22
<=> hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_ua______)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var_I3_J_0) ).
fof(f459,plain,
( ~ spl0_21
| spl0_20 ),
inference(avatar_split_clause,[],[f454,f450,f456]) ).
fof(f450,plain,
( spl0_20
<=> c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f454,plain,
( ~ c_Type_Otyping(v_e____,v_u____,v_T____)
| spl0_20 ),
inference(forward_demodulation,[],[f452,f298]) ).
fof(f298,axiom,
v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f452,plain,
( ~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
| spl0_20 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f453,plain,
~ spl0_20,
inference(avatar_split_clause,[],[f300,f450]) ).
fof(f300,axiom,
~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f448,plain,
spl0_19,
inference(avatar_split_clause,[],[f319,f445]) ).
fof(f445,plain,
( spl0_19
<=> class_Int_Onumber__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f319,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).
fof(f443,plain,
spl0_18,
inference(avatar_split_clause,[],[f318,f440]) ).
fof(f440,plain,
( spl0_18
<=> class_Int_Oring__char__0(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f318,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).
fof(f438,plain,
spl0_17,
inference(avatar_split_clause,[],[f317,f435]) ).
fof(f435,plain,
( spl0_17
<=> class_Ring__and__Field_Oidom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f317,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oidom) ).
fof(f433,plain,
spl0_16,
inference(avatar_split_clause,[],[f316,f430]) ).
fof(f430,plain,
( spl0_16
<=> class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f316,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__add) ).
fof(f428,plain,
spl0_15,
inference(avatar_split_clause,[],[f315,f425]) ).
fof(f425,plain,
( spl0_15
<=> class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f315,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__group__add) ).
fof(f423,plain,
spl0_14,
inference(avatar_split_clause,[],[f314,f420]) ).
fof(f420,plain,
( spl0_14
<=> class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f314,axiom,
class_OrderedGroup_Osemigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Osemigroup__add) ).
fof(f418,plain,
spl0_13,
inference(avatar_split_clause,[],[f313,f415]) ).
fof(f415,plain,
( spl0_13
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f313,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add) ).
fof(f413,plain,
spl0_12,
inference(avatar_split_clause,[],[f312,f410]) ).
fof(f410,plain,
( spl0_12
<=> class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f312,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add) ).
fof(f408,plain,
spl0_11,
inference(avatar_split_clause,[],[f311,f405]) ).
fof(f405,plain,
( spl0_11
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f311,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) ).
fof(f403,plain,
spl0_10,
inference(avatar_split_clause,[],[f310,f400]) ).
fof(f400,plain,
( spl0_10
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f310,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add) ).
fof(f398,plain,
spl0_9,
inference(avatar_split_clause,[],[f309,f395]) ).
fof(f395,plain,
( spl0_9
<=> class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f309,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add) ).
fof(f393,plain,
spl0_8,
inference(avatar_split_clause,[],[f308,f390]) ).
fof(f390,plain,
( spl0_8
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f308,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f388,plain,
spl0_7,
inference(avatar_split_clause,[],[f307,f385]) ).
fof(f385,plain,
( spl0_7
<=> class_OrderedGroup_Omonoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f307,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__add) ).
fof(f383,plain,
spl0_6,
inference(avatar_split_clause,[],[f306,f380]) ).
fof(f380,plain,
( spl0_6
<=> class_OrderedGroup_Osemigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f306,axiom,
class_OrderedGroup_Osemigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Osemigroup__add) ).
fof(f378,plain,
spl0_5,
inference(avatar_split_clause,[],[f305,f375]) ).
fof(f375,plain,
( spl0_5
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f305,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
fof(f373,plain,
spl0_4,
inference(avatar_split_clause,[],[f304,f370]) ).
fof(f370,plain,
( spl0_4
<=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f304,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).
fof(f368,plain,
spl0_3,
inference(avatar_split_clause,[],[f303,f365]) ).
fof(f365,plain,
( spl0_3
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f303,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
fof(f363,plain,
spl0_2,
inference(avatar_split_clause,[],[f302,f360]) ).
fof(f360,plain,
( spl0_2
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f302,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).
fof(f358,plain,
spl0_1,
inference(avatar_split_clause,[],[f301,f355]) ).
fof(f355,plain,
( spl0_1
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f301,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL789-1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 03:17:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (2638)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (2643)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (2641)WARNING: value z3 for option sas not known
% 0.14/0.37 % (2645)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (2641)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (2639)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (2643)First to succeed.
% 0.14/0.38 % (2643)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2638"
% 0.14/0.38 % (2643)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (2643)------------------------------
% 0.14/0.38 % (2643)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (2643)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (2643)Memory used [KB]: 1198
% 0.14/0.38 % (2643)Time elapsed: 0.008 s
% 0.14/0.38 % (2643)Instructions burned: 24 (million)
% 0.14/0.38 % (2638)Success in time 0.017 s
%------------------------------------------------------------------------------