TSTP Solution File: FLD035-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD035-3 : 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 : n005.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 22:37:42 EDT 2023
% Result : Unsatisfiable 0.23s 0.51s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 36 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 59 (; 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8538,plain,
$false,
inference(resolution,[],[f8536,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/tmp/tmp.eddwb4cUoh/Vampire---4.8_27416',c_is_defined) ).
fof(f8536,plain,
~ defined(c),
inference(resolution,[],[f8530,f207]) ).
fof(f207,plain,
( product(multiplicative_inverse(c),c,multiplicative_identity)
| ~ defined(c) ),
inference(resolution,[],[f33,f9]) ).
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.eddwb4cUoh/Vampire---4.8_27416',existence_of_inverse_multiplication) ).
fof(f33,axiom,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.eddwb4cUoh/Vampire---4.8_27416',not_sum_7) ).
fof(f8530,plain,
! [X0] : ~ product(X0,c,multiplicative_identity),
inference(duplicate_literal_removal,[],[f8506]) ).
fof(f8506,plain,
! [X0] :
( ~ product(X0,c,multiplicative_identity)
| ~ product(X0,c,multiplicative_identity) ),
inference(resolution,[],[f8504,f7114]) ).
fof(f7114,plain,
! [X0] :
( ~ product(X0,u,b)
| ~ product(X0,c,multiplicative_identity) ),
inference(resolution,[],[f222,f215]) ).
fof(f215,plain,
! [X0,X1] :
( sP1(a,multiplicative_identity,X0,X1)
| ~ product(X0,X1,b) ),
inference(resolution,[],[f34,f37]) ).
fof(f37,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| product(X4,X5,X2)
| sP1(X5,X4,X0,X1) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_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(f34,axiom,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.eddwb4cUoh/Vampire---4.8_27416',not_product_8) ).
fof(f222,plain,
! [X4,X5] :
( ~ sP1(a,X5,X4,u)
| ~ product(X4,c,X5) ),
inference(resolution,[],[f181,f38]) ).
fof(f38,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ sP1(X5,X4,X0,X1) ),
inference(general_splitting,[],[f7,f37_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.eddwb4cUoh/Vampire---4.8_27416',associativity_multiplication_2) ).
fof(f181,plain,
product(c,a,u),
inference(resolution,[],[f31,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.eddwb4cUoh/Vampire---4.8_27416',commutativity_multiplication) ).
fof(f31,axiom,
product(a,c,u),
file('/export/starexec/sandbox/tmp/tmp.eddwb4cUoh/Vampire---4.8_27416',product_5) ).
fof(f8504,plain,
! [X0] :
( product(X0,u,b)
| ~ product(X0,c,multiplicative_identity) ),
inference(resolution,[],[f294,f238]) ).
fof(f238,plain,
! [X10,X11] :
( ~ sP2(X11,X10,b,u)
| ~ product(X10,c,X11) ),
inference(resolution,[],[f194,f40]) ).
fof(f40,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ sP2(X4,X0,X5,X1) ),
inference(general_splitting,[],[f6,f39_D]) ).
fof(f39,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| product(X0,X1,X2)
| sP2(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X4,X5,X2)
| product(X0,X1,X2) )
<=> ~ sP2(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.eddwb4cUoh/Vampire---4.8_27416',associativity_multiplication_1) ).
fof(f194,plain,
product(c,b,u),
inference(resolution,[],[f32,f10]) ).
fof(f32,axiom,
product(b,c,u),
file('/export/starexec/sandbox/tmp/tmp.eddwb4cUoh/Vampire---4.8_27416',product_6) ).
fof(f294,plain,
! [X6,X7] :
( sP2(multiplicative_identity,X6,b,X7)
| product(X6,X7,b) ),
inference(resolution,[],[f71,f39]) ).
fof(f71,plain,
product(multiplicative_identity,b,b),
inference(resolution,[],[f28,f8]) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.eddwb4cUoh/Vampire---4.8_27416',existence_of_identity_multiplication) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.eddwb4cUoh/Vampire---4.8_27416',b_is_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : FLD035-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n005.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Aug 27 23:31:38 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.eddwb4cUoh/Vampire---4.8_27416
% 0.23/0.38 % (27771)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (27780)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)
% 0.23/0.44 % (27775)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)
% 0.23/0.44 % (27776)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)
% 0.23/0.44 % (27778)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)
% 0.23/0.44 % (27774)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)
% 0.23/0.44 % (27777)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)
% 0.23/0.44 % (27779)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)
% 0.23/0.51 % (27780)First to succeed.
% 0.23/0.51 % (27780)Refutation found. Thanks to Tanya!
% 0.23/0.51 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.51 % (27780)------------------------------
% 0.23/0.51 % (27780)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.51 % (27780)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.51 % (27780)Termination reason: Refutation
% 0.23/0.51
% 0.23/0.51 % (27780)Memory used [KB]: 4093
% 0.23/0.51 % (27780)Time elapsed: 0.078 s
% 0.23/0.51 % (27780)------------------------------
% 0.23/0.51 % (27780)------------------------------
% 0.23/0.51 % (27771)Success in time 0.137 s
% 0.23/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------