TSTP Solution File: FLD014-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD014-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n028.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 30 22:37:31 EDT 2023
% Result : Unsatisfiable 0.23s 0.67s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 53 ( 12 unt; 0 def)
% Number of atoms : 115 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 116 ( 54 ~; 54 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 33 (; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8484,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f52,f59,f61,f446,f545,f950,f1698,f8481]) ).
fof(f8481,plain,
( ~ spl2_119
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f8471]) ).
fof(f8471,plain,
( $false
| ~ spl2_119
| ~ spl2_225 ),
inference(resolution,[],[f8414,f33]) ).
fof(f33,plain,
~ sum(additive_identity,sF0,sF1),
inference(definition_folding,[],[f30,f32,f31]) ).
fof(f31,plain,
additive_inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f32,plain,
additive_inverse(b) = sF1,
introduced(function_definition,[]) ).
fof(f30,axiom,
~ sum(additive_identity,additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',not_sum_4) ).
fof(f8414,plain,
( sum(additive_identity,sF0,sF1)
| ~ spl2_119
| ~ spl2_225 ),
inference(resolution,[],[f1697,f944]) ).
fof(f944,plain,
( sum(b,sF0,additive_identity)
| ~ spl2_119 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f943,plain,
( spl2_119
<=> sum(b,sF0,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_119])]) ).
fof(f1697,plain,
( ! [X4] :
( ~ sum(b,X4,additive_identity)
| sum(additive_identity,X4,sF1) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f1696,plain,
( spl2_225
<=> ! [X4] :
( sum(additive_identity,X4,sF1)
| ~ sum(b,X4,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_225])]) ).
fof(f1698,plain,
( ~ spl2_4
| spl2_225
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f1682,f543,f1696,f48]) ).
fof(f48,plain,
( spl2_4
<=> defined(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f543,plain,
( spl2_74
<=> ! [X4,X5,X3] :
( ~ sum(sF1,X3,X4)
| sum(additive_identity,X5,X4)
| ~ sum(b,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_74])]) ).
fof(f1682,plain,
( ! [X4] :
( sum(additive_identity,X4,sF1)
| ~ sum(b,X4,additive_identity)
| ~ defined(sF1) )
| ~ spl2_74 ),
inference(resolution,[],[f544,f68]) ).
fof(f68,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',existence_of_identity_addition) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',commutativity_addition) ).
fof(f544,plain,
( ! [X3,X4,X5] :
( ~ sum(sF1,X3,X4)
| sum(additive_identity,X5,X4)
| ~ sum(b,X5,X3) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f950,plain,
( ~ spl2_58
| spl2_119
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f936,f57,f943,f438]) ).
fof(f438,plain,
( spl2_58
<=> defined(additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_58])]) ).
fof(f57,plain,
( spl2_5
<=> sum(a,sF0,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f936,plain,
( sum(b,sF0,additive_identity)
| ~ defined(additive_identity)
| ~ spl2_5 ),
inference(resolution,[],[f257,f68]) ).
fof(f257,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(b,sF0,X0) )
| ~ spl2_5 ),
inference(resolution,[],[f182,f58]) ).
fof(f58,plain,
( sum(a,sF0,additive_identity)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f182,plain,
! [X18,X19,X17] :
( ~ sum(a,X17,X18)
| ~ sum(additive_identity,X18,X19)
| sum(b,X17,X19) ),
inference(resolution,[],[f2,f29]) ).
fof(f29,axiom,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',sum_3) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X1,X2)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',associativity_addition_2) ).
fof(f545,plain,
( ~ spl2_3
| spl2_74 ),
inference(avatar_split_clause,[],[f536,f543,f45]) ).
fof(f45,plain,
( spl2_3
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f536,plain,
! [X3,X4,X5] :
( ~ sum(sF1,X3,X4)
| ~ sum(b,X5,X3)
| sum(additive_identity,X5,X4)
| ~ defined(b) ),
inference(superposition,[],[f185,f32]) ).
fof(f185,plain,
! [X31,X28,X29,X30] :
( ~ sum(additive_inverse(X28),X30,X31)
| ~ sum(X28,X29,X30)
| sum(additive_identity,X29,X31)
| ~ defined(X28) ),
inference(resolution,[],[f2,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',existence_of_inverse_addition) ).
fof(f446,plain,
spl2_58,
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| spl2_58 ),
inference(resolution,[],[f439,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',well_definedness_of_additive_identity) ).
fof(f439,plain,
( ~ defined(additive_identity)
| spl2_58 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f61,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| spl2_3 ),
inference(resolution,[],[f46,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',b_is_defined) ).
fof(f46,plain,
( ~ defined(b)
| spl2_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f59,plain,
( ~ spl2_1
| spl2_5 ),
inference(avatar_split_clause,[],[f55,f57,f38]) ).
fof(f38,plain,
( spl2_1
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f55,plain,
( sum(a,sF0,additive_identity)
| ~ defined(a) ),
inference(forward_literal_rewriting,[],[f53,f5]) ).
fof(f53,plain,
( sum(sF0,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f4,f31]) ).
fof(f52,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f39,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',a_is_defined) ).
fof(f39,plain,
( ~ defined(a)
| spl2_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f50,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f36,f48,f45]) ).
fof(f36,plain,
( defined(sF1)
| ~ defined(b) ),
inference(superposition,[],[f15,f32]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766',well_definedness_of_additive_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD014-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 00:13:39 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.08vpmGbskx/Vampire---4.8_6766
% 0.23/0.37 % (6964)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (6974)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 % (6973)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.43 % (6975)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.43 % (6967)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.43 % (6972)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.43 % (6976)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.43 % (6970)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.23/0.67 % (6972)First to succeed.
% 0.23/0.67 % (6972)Refutation found. Thanks to Tanya!
% 0.23/0.67 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.67 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.67 % (6972)------------------------------
% 0.23/0.67 % (6972)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.67 % (6972)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.67 % (6972)Termination reason: Refutation
% 0.23/0.67
% 0.23/0.67 % (6972)Memory used [KB]: 12281
% 0.23/0.67 % (6972)Time elapsed: 0.238 s
% 0.23/0.67 % (6972)------------------------------
% 0.23/0.67 % (6972)------------------------------
% 0.23/0.67 % (6964)Success in time 0.297 s
% 0.23/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------