TSTP Solution File: FLD049-4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD049-4 : 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 : n011.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 22:37:49 EDT 2023
% Result : Unsatisfiable 2.98s 0.80s
% Output : Refutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 25 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 21 ~; 12 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 26 (; 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52916,plain,
$false,
inference(unit_resulting_resolution,[],[f101,f52912,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',commutativity_multiplication) ).
fof(f52912,plain,
~ product(c,multiplicative_identity,c),
inference(unit_resulting_resolution,[],[f52896,f52880,f41]) ).
fof(f41,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| product(X4,X5,X2)
| sP1(X5,X4,X0,X1) ),
inference(cnf_transformation,[],[f41_D]) ).
fof(f41_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( ~ product(X0,X1,X2)
| product(X4,X5,X2) )
<=> ~ sP1(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f52880,plain,
~ sP1(d,s,c,multiplicative_identity),
inference(unit_resulting_resolution,[],[f30202,f36,f42]) ).
fof(f42,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP1(X5,X4,X0,X1)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1) ),
inference(general_splitting,[],[f7,f41_D]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',associativity_multiplication_2) ).
fof(f36,axiom,
product(c,multiplicative_inverse(d),s),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',product_10) ).
fof(f30202,plain,
product(multiplicative_inverse(d),d,multiplicative_identity),
inference(unit_resulting_resolution,[],[f30,f34,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',existence_of_inverse_multiplication) ).
fof(f34,axiom,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',not_sum_8) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',d_is_defined) ).
fof(f52896,plain,
~ product(s,d,c),
inference(unit_resulting_resolution,[],[f52892,f10]) ).
fof(f52892,plain,
~ product(d,s,c),
inference(unit_resulting_resolution,[],[f51014,f52890,f42]) ).
fof(f52890,plain,
product(s,b,a),
inference(unit_resulting_resolution,[],[f167,f52867,f41]) ).
fof(f52867,plain,
~ sP1(b,s,a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f30201,f35,f42]) ).
fof(f35,axiom,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',product_9) ).
fof(f30201,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(unit_resulting_resolution,[],[f28,f33,f9]) ).
fof(f33,axiom,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',not_sum_7) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',b_is_defined) ).
fof(f167,plain,
product(a,multiplicative_identity,a),
inference(unit_resulting_resolution,[],[f99,f10]) ).
fof(f99,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f27,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',existence_of_identity_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',a_is_defined) ).
fof(f51014,plain,
sP1(b,c,d,a),
inference(unit_resulting_resolution,[],[f161,f162,f41]) ).
fof(f162,plain,
product(d,a,k),
inference(unit_resulting_resolution,[],[f37,f10]) ).
fof(f37,axiom,
product(a,d,k),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',product_11) ).
fof(f161,plain,
~ product(c,b,k),
inference(unit_resulting_resolution,[],[f38,f10]) ).
fof(f38,axiom,
~ product(b,c,k),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',not_product_12) ).
fof(f101,plain,
product(multiplicative_identity,c,c),
inference(unit_resulting_resolution,[],[f29,f8]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782',c_is_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD049-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 00:12:55 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.opNdpOfB7g/Vampire---4.8_2782
% 0.15/0.36 % (2914)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (2920)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)
% 0.21/0.41 % (2919)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)
% 0.21/0.41 % (2917)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)
% 0.21/0.42 % (2916)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)
% 0.21/0.42 % (2921)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)
% 0.21/0.42 % (2915)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)
% 0.21/0.42 % (2918)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)
% 2.98/0.79 % (2920)First to succeed.
% 2.98/0.80 % (2920)Refutation found. Thanks to Tanya!
% 2.98/0.80 % SZS status Unsatisfiable for Vampire---4
% 2.98/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 2.98/0.80 % (2920)------------------------------
% 2.98/0.80 % (2920)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.98/0.80 % (2920)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.98/0.80 % (2920)Termination reason: Refutation
% 2.98/0.80
% 2.98/0.80 % (2920)Memory used [KB]: 39402
% 2.98/0.80 % (2920)Time elapsed: 0.379 s
% 2.98/0.80 % (2920)------------------------------
% 2.98/0.80 % (2920)------------------------------
% 2.98/0.80 % (2914)Success in time 0.436 s
% 2.98/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------