TSTP Solution File: FLD002-3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD002-3 : 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 : n032.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 22:37:25 EDT 2023
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 40 ( 15 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 46 ~; 37 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 81 (; 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9710,plain,
$false,
inference(resolution,[],[f9709,f3424]) ).
fof(f3424,plain,
~ sum(b,additive_identity,a),
inference(resolution,[],[f3422,f160]) ).
fof(f160,plain,
sum(b,additive_identity,b),
inference(resolution,[],[f65,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',commutativity_addition) ).
fof(f65,plain,
sum(additive_identity,b,b),
inference(resolution,[],[f28,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',existence_of_identity_addition) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',b_is_defined) ).
fof(f3422,plain,
! [X0] :
( ~ sum(b,X0,b)
| ~ sum(b,X0,a) ),
inference(resolution,[],[f164,f115]) ).
fof(f115,plain,
! [X0,X1] :
( sP3(X0,additive_identity,X1,a)
| ~ sum(X0,X1,b) ),
inference(resolution,[],[f30,f37]) ).
fof(f37,plain,
! [X2,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| sum(X0,X1,X2)
| sP3(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ sum(X4,X5,X2)
| sum(X0,X1,X2) )
<=> ~ sP3(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f30,axiom,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',not_sum_4) ).
fof(f164,plain,
! [X4,X5] :
( ~ sP3(b,additive_identity,X4,X5)
| ~ sum(b,X4,X5) ),
inference(resolution,[],[f65,f38]) ).
fof(f38,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP3(X4,X0,X5,X1) ),
inference(general_splitting,[],[f1,f37_D]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',associativity_addition_1) ).
fof(f9709,plain,
sum(b,additive_identity,a),
inference(resolution,[],[f9703,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',well_definedness_of_additive_identity) ).
fof(f9703,plain,
( ~ defined(additive_identity)
| sum(b,additive_identity,a) ),
inference(resolution,[],[f9550,f8]) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',existence_of_identity_multiplication) ).
fof(f9550,plain,
! [X0] :
( ~ product(multiplicative_identity,additive_identity,X0)
| sum(b,X0,a) ),
inference(resolution,[],[f9544,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',commutativity_multiplication) ).
fof(f9544,plain,
! [X0] :
( ~ product(additive_identity,multiplicative_identity,X0)
| sum(b,X0,a) ),
inference(resolution,[],[f9194,f239]) ).
fof(f239,plain,
! [X14,X15] :
( sP5(a,a,X14,X15)
| ~ product(additive_identity,X14,X15) ),
inference(resolution,[],[f135,f41]) ).
fof(f41,plain,
! [X3,X0,X9,X7,X5] :
( ~ product(X3,X5,X7)
| ~ sum(X0,X3,X9)
| sP5(X9,X0,X5,X7) ),
inference(cnf_transformation,[],[f41_D]) ).
fof(f41_D,plain,
! [X7,X5,X0,X9] :
( ! [X3] :
( ~ product(X3,X5,X7)
| ~ sum(X0,X3,X9) )
<=> ~ sP5(X9,X0,X5,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f135,plain,
sum(a,additive_identity,a),
inference(resolution,[],[f49,f5]) ).
fof(f49,plain,
sum(additive_identity,a,a),
inference(resolution,[],[f27,f3]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',a_is_defined) ).
fof(f9194,plain,
! [X0] :
( ~ sP5(a,a,multiplicative_identity,X0)
| sum(b,X0,a) ),
inference(resolution,[],[f194,f252]) ).
fof(f252,plain,
! [X16,X17] :
( ~ sP6(multiplicative_identity,a,X16,X17)
| sum(X16,X17,a) ),
inference(resolution,[],[f147,f44]) ).
fof(f44,plain,
! [X8,X6,X9,X7,X5] :
( ~ product(X9,X5,X8)
| sum(X6,X7,X8)
| ~ sP6(X5,X9,X6,X7) ),
inference(general_splitting,[],[f42,f43_D]) ).
fof(f43,plain,
! [X0,X6,X9,X7,X5] :
( ~ product(X0,X5,X6)
| ~ sP5(X9,X0,X5,X7)
| sP6(X5,X9,X6,X7) ),
inference(cnf_transformation,[],[f43_D]) ).
fof(f43_D,plain,
! [X7,X6,X9,X5] :
( ! [X0] :
( ~ product(X0,X5,X6)
| ~ sP5(X9,X0,X5,X7) )
<=> ~ sP6(X5,X9,X6,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f42,plain,
! [X0,X8,X6,X9,X7,X5] :
( ~ product(X0,X5,X6)
| ~ product(X9,X5,X8)
| sum(X6,X7,X8)
| ~ sP5(X9,X0,X5,X7) ),
inference(general_splitting,[],[f11,f41_D]) ).
fof(f11,axiom,
! [X3,X0,X8,X6,X9,X7,X5] :
( ~ product(X3,X5,X7)
| ~ product(X0,X5,X6)
| ~ product(X9,X5,X8)
| ~ sum(X0,X3,X9)
| sum(X6,X7,X8) ),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',distributivity_1) ).
fof(f147,plain,
product(a,multiplicative_identity,a),
inference(resolution,[],[f51,f10]) ).
fof(f51,plain,
product(multiplicative_identity,a,a),
inference(resolution,[],[f27,f8]) ).
fof(f194,plain,
! [X14,X15] :
( sP6(multiplicative_identity,X14,b,X15)
| ~ sP5(X14,a,multiplicative_identity,X15) ),
inference(resolution,[],[f118,f43]) ).
fof(f118,plain,
product(a,multiplicative_identity,b),
inference(resolution,[],[f29,f10]) ).
fof(f29,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810',product_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : FLD002-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Sun Aug 27 23:21:45 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.12/0.31 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.12/0.31 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.d7quo2SVLm/Vampire---4.8_24810
% 0.12/0.32 % (24918)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (24924)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)
% 0.12/0.35 % (24921)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)
% 0.12/0.36 % (24919)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)
% 0.12/0.36 % (24920)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)
% 0.12/0.36 % (24923)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)
% 0.12/0.36 % (24922)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)
% 0.16/0.38 % (24925)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)
% 0.16/0.47 % (24925)First to succeed.
% 0.16/0.47 % (24925)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.16/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.47 % (24925)------------------------------
% 0.16/0.47 % (24925)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.47 % (24925)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.47 % (24925)Termination reason: Refutation
% 0.16/0.47
% 0.16/0.47 % (24925)Memory used [KB]: 4093
% 0.16/0.47 % (24925)Time elapsed: 0.087 s
% 0.16/0.47 % (24925)------------------------------
% 0.16/0.47 % (24925)------------------------------
% 0.16/0.47 % (24918)Success in time 0.152 s
% 0.16/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------