TSTP Solution File: FLD038-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD038-3 : 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 : n006.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 22:37:43 EDT 2023
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 36 ~; 28 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 40 (; 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f657,plain,
$false,
inference(subsumption_resolution,[],[f27,f653]) ).
fof(f653,plain,
~ defined(a),
inference(resolution,[],[f622,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.Xe60t9Npji/Vampire---4.8_28390',b_is_defined) ).
fof(f622,plain,
( ~ defined(b)
| ~ defined(a) ),
inference(resolution,[],[f612,f29]) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.Xe60t9Npji/Vampire---4.8_28390',not_sum_3) ).
fof(f612,plain,
( sum(additive_identity,a,additive_identity)
| ~ defined(a)
| ~ defined(b) ),
inference(resolution,[],[f604,f62]) ).
fof(f62,plain,
! [X0] :
( product(X0,multiplicative_inverse(X0),multiplicative_identity)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(forward_literal_rewriting,[],[f9,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( product(X3,X0,X5)
| ~ product(X0,X3,X5) ),
file('/export/starexec/sandbox/tmp/tmp.Xe60t9Npji/Vampire---4.8_28390',commutativity_multiplication) ).
fof(f9,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity) ),
file('/export/starexec/sandbox/tmp/tmp.Xe60t9Npji/Vampire---4.8_28390',existence_of_inverse_multiplication) ).
fof(f604,plain,
( ~ product(a,multiplicative_inverse(a),multiplicative_identity)
| ~ defined(b) ),
inference(forward_literal_rewriting,[],[f597,f10]) ).
fof(f597,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ defined(b) ),
inference(resolution,[],[f552,f30]) ).
fof(f30,axiom,
product(b,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.Xe60t9Npji/Vampire---4.8_28390',product_4) ).
fof(f552,plain,
! [X0] :
( ~ product(b,X0,multiplicative_identity)
| ~ product(X0,a,multiplicative_identity)
| ~ defined(b) ),
inference(resolution,[],[f281,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Xe60t9Npji/Vampire---4.8_28390',existence_of_identity_multiplication) ).
fof(f281,plain,
! [X14,X15,X13] :
( ~ product(X15,X13,b)
| ~ product(X14,a,X15)
| ~ product(X13,X14,multiplicative_identity) ),
inference(resolution,[],[f247,f10]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ product(X2,X1,b)
| ~ product(X2,X0,multiplicative_identity)
| ~ product(X0,a,X1) ),
inference(resolution,[],[f98,f31]) ).
fof(f31,axiom,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.Xe60t9Npji/Vampire---4.8_28390',not_product_5) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4,X5] :
( product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| ~ product(X0,X4,X5) ),
inference(resolution,[],[f37,f36]) ).
fof(f36,plain,
! [X2,X0,X1,X4,X5] :
( sP2(X5,X4,X0,X1)
| product(X4,X5,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( product(X4,X5,X2)
| ~ product(X0,X1,X2) )
<=> ~ sP2(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f37,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP2(X5,X4,X0,X1)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1) ),
inference(general_splitting,[],[f7,f36_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.Xe60t9Npji/Vampire---4.8_28390',associativity_multiplication_2) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.Xe60t9Npji/Vampire---4.8_28390',a_is_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : FLD038-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 00:13:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.12/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Xe60t9Npji/Vampire---4.8_28390
% 0.12/0.35 % (28551)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40 % (28556)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)
% 0.19/0.40 % (28553)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)
% 0.19/0.40 % (28557)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)
% 0.19/0.40 % (28558)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)
% 0.19/0.40 % (28554)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)
% 0.19/0.40 % (28552)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 % (28555)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)
% 0.19/0.43 % (28553)First to succeed.
% 0.19/0.43 % (28553)Refutation found. Thanks to Tanya!
% 0.19/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.19/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.43 % (28553)------------------------------
% 0.19/0.43 % (28553)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.43 % (28553)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.43 % (28553)Termination reason: Refutation
% 0.19/0.43
% 0.19/0.43 % (28553)Memory used [KB]: 1407
% 0.19/0.43 % (28553)Time elapsed: 0.030 s
% 0.19/0.43 % (28553)------------------------------
% 0.19/0.43 % (28553)------------------------------
% 0.19/0.43 % (28551)Success in time 0.079 s
% 0.19/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------