TSTP Solution File: FLD067-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD067-2 : 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 : n022.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 22:37:59 EDT 2023
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 61 ( 20 unt; 0 def)
% Number of atoms : 119 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 121 ( 63 ~; 55 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 26 (; 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f953,plain,
$false,
inference(avatar_sat_refutation,[],[f659,f835,f861,f952]) ).
fof(f952,plain,
spl2_32,
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f951,plain,
( $false
| spl2_32 ),
inference(subsumption_resolution,[],[f950,f36]) ).
fof(f36,plain,
equalish(sF1,u),
inference(definition_folding,[],[f32,f35,f34]) ).
fof(f34,plain,
additive_inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f35,plain,
add(b,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f32,axiom,
equalish(add(b,additive_inverse(a)),u),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',add_equals_u_5) ).
fof(f950,plain,
( ~ equalish(sF1,u)
| spl2_32 ),
inference(resolution,[],[f942,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',symmetry_of_equality) ).
fof(f942,plain,
( ~ equalish(u,sF1)
| spl2_32 ),
inference(resolution,[],[f663,f167]) ).
fof(f167,plain,
less_or_equal(u,additive_identity),
inference(subsumption_resolution,[],[f166,f11]) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',well_definedness_of_additive_identity) ).
fof(f166,plain,
( ~ defined(additive_identity)
| less_or_equal(u,additive_identity) ),
inference(subsumption_resolution,[],[f150,f30]) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',u_is_defined) ).
fof(f150,plain,
( ~ defined(u)
| ~ defined(additive_identity)
| less_or_equal(u,additive_identity) ),
inference(resolution,[],[f18,f33]) ).
fof(f33,axiom,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',not_less_or_equal_6) ).
fof(f18,axiom,
! [X0,X1] :
( less_or_equal(X1,X0)
| ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',totality_of_order_relation) ).
fof(f663,plain,
( ! [X0] :
( ~ less_or_equal(X0,additive_identity)
| ~ equalish(X0,sF1) )
| spl2_32 ),
inference(resolution,[],[f654,f26]) ).
fof(f26,axiom,
! [X2,X0,X1] :
( less_or_equal(X1,X2)
| ~ equalish(X0,X1)
| ~ less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',compatibility_of_equality_and_order_relation) ).
fof(f654,plain,
( ~ less_or_equal(sF1,additive_identity)
| spl2_32 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f652,plain,
( spl2_32
<=> less_or_equal(sF1,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
fof(f861,plain,
( spl2_33
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f860,plain,
( $false
| spl2_33
| ~ spl2_42 ),
inference(subsumption_resolution,[],[f859,f45]) ).
fof(f45,plain,
equalish(additive_identity,add(a,sF0)),
inference(forward_literal_rewriting,[],[f44,f22]) ).
fof(f44,plain,
equalish(add(a,sF0),additive_identity),
inference(subsumption_resolution,[],[f43,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',a_is_defined) ).
fof(f43,plain,
( equalish(add(a,sF0),additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f3,f34]) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',existence_of_inverse_addition) ).
fof(f859,plain,
( ~ equalish(additive_identity,add(a,sF0))
| spl2_33
| ~ spl2_42 ),
inference(forward_literal_rewriting,[],[f854,f22]) ).
fof(f854,plain,
( ~ equalish(add(a,sF0),additive_identity)
| spl2_33
| ~ spl2_42 ),
inference(resolution,[],[f673,f814]) ).
fof(f814,plain,
( less_or_equal(add(a,sF0),sF1)
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f813,plain,
( spl2_42
<=> less_or_equal(add(a,sF0),sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).
fof(f673,plain,
( ! [X0] :
( ~ less_or_equal(X0,sF1)
| ~ equalish(X0,additive_identity) )
| spl2_33 ),
inference(resolution,[],[f658,f26]) ).
fof(f658,plain,
( ~ less_or_equal(additive_identity,sF1)
| spl2_33 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f656,plain,
( spl2_33
<=> less_or_equal(additive_identity,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).
fof(f835,plain,
spl2_42,
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f834,plain,
( $false
| spl2_42 ),
inference(subsumption_resolution,[],[f830,f31]) ).
fof(f31,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',less_or_equal_4) ).
fof(f830,plain,
( ~ less_or_equal(a,b)
| spl2_42 ),
inference(resolution,[],[f815,f279]) ).
fof(f279,plain,
! [X0] :
( less_or_equal(add(X0,sF0),sF1)
| ~ less_or_equal(X0,b) ),
inference(subsumption_resolution,[],[f277,f40]) ).
fof(f40,plain,
defined(sF0),
inference(subsumption_resolution,[],[f39,f28]) ).
fof(f39,plain,
( defined(sF0)
| ~ defined(a) ),
inference(superposition,[],[f12,f34]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',well_definedness_of_additive_inverse) ).
fof(f277,plain,
! [X0] :
( less_or_equal(add(X0,sF0),sF1)
| ~ less_or_equal(X0,b)
| ~ defined(sF0) ),
inference(superposition,[],[f19,f35]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X2),add(X1,X2))
| ~ less_or_equal(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',compatibility_of_order_relation_and_addition) ).
fof(f815,plain,
( ~ less_or_equal(add(a,sF0),sF1)
| spl2_42 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f659,plain,
( ~ spl2_32
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f649,f656,f652]) ).
fof(f649,plain,
( ~ less_or_equal(additive_identity,sF1)
| ~ less_or_equal(sF1,additive_identity) ),
inference(resolution,[],[f647,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',antisymmetry_of_order_relation) ).
fof(f647,plain,
~ equalish(additive_identity,sF1),
inference(forward_literal_rewriting,[],[f640,f22]) ).
fof(f640,plain,
~ equalish(sF1,additive_identity),
inference(resolution,[],[f603,f36]) ).
fof(f603,plain,
! [X3] :
( ~ equalish(X3,u)
| ~ equalish(X3,additive_identity) ),
inference(resolution,[],[f595,f22]) ).
fof(f595,plain,
! [X0] :
( ~ equalish(additive_identity,X0)
| ~ equalish(X0,u) ),
inference(resolution,[],[f589,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248',transitivity_of_equality) ).
fof(f589,plain,
~ equalish(additive_identity,u),
inference(forward_literal_rewriting,[],[f588,f22]) ).
fof(f588,plain,
~ equalish(u,additive_identity),
inference(subsumption_resolution,[],[f587,f30]) ).
fof(f587,plain,
( ~ defined(u)
| ~ equalish(u,additive_identity) ),
inference(duplicate_literal_removal,[],[f584]) ).
fof(f584,plain,
( ~ defined(u)
| ~ equalish(u,additive_identity)
| ~ equalish(u,additive_identity) ),
inference(resolution,[],[f242,f102]) ).
fof(f102,plain,
! [X0] :
( ~ less_or_equal(X0,u)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f26,f33]) ).
fof(f242,plain,
! [X0] :
( less_or_equal(u,X0)
| ~ defined(X0)
| ~ equalish(X0,additive_identity) ),
inference(subsumption_resolution,[],[f239,f30]) ).
fof(f239,plain,
! [X0] :
( ~ equalish(X0,additive_identity)
| ~ defined(u)
| ~ defined(X0)
| less_or_equal(u,X0) ),
inference(resolution,[],[f102,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD067-2 : 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
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 Aug 28 00:10:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.zV8GZfraO8/Vampire---4.8_24248
% 0.14/0.35 % (24405)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (24409)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)
% 0.19/0.41 % (24408)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)
% 0.19/0.41 % (24412)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)
% 0.19/0.41 % (24406)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)
% 0.19/0.41 % (24407)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)
% 0.19/0.42 % (24414)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)
% 0.19/0.42 % (24410)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)
% 0.19/0.44 % (24410)First to succeed.
% 0.19/0.44 % (24410)Refutation found. Thanks to Tanya!
% 0.19/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.19/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.45 % (24410)------------------------------
% 0.19/0.45 % (24410)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.45 % (24410)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.45 % (24410)Termination reason: Refutation
% 0.19/0.45
% 0.19/0.45 % (24410)Memory used [KB]: 5884
% 0.19/0.45 % (24410)Time elapsed: 0.026 s
% 0.19/0.45 % (24410)------------------------------
% 0.19/0.45 % (24410)------------------------------
% 0.19/0.45 % (24405)Success in time 0.091 s
% 0.19/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------