TSTP Solution File: NUM342+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM342+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n017.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 : Thu Aug 31 12:00:30 EDT 2023
% Result : Theorem 0.23s 0.65s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 41 ~; 33 |; 11 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 85 (; 81 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1327,plain,
$false,
inference(unit_resulting_resolution,[],[f752,f752,f1276,f871]) ).
fof(f871,plain,
! [X2,X3,X0,X1,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(cnf_transformation,[],[f456]) ).
fof(f456,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(flattening,[],[f455]) ).
fof(f455,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(ennf_transformation,[],[f416]) ).
fof(f416,plain,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
& rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(rectify,[],[f297]) ).
fof(f297,axiom,
! [X20,X21,X22,X23,X24] :
( ( rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(n0))
& rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X20),rdnn(X21),rdnn(X22),rdnn(X23)) ),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',add_digit_digit_digit) ).
fof(f1276,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n0),rdnn(n4)),
inference(unit_resulting_resolution,[],[f506,f511,f506,f1239,f876]) ).
fof(f876,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(cnf_transformation,[],[f465]) ).
fof(f465,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(flattening,[],[f464]) ).
fof(f464,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f421]) ).
fof(f421,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_pos(X5))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X1,rdn_pos(X4))
& rdn_translate(X0,rdn_pos(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f287]) ).
fof(f287,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_pos(X11))
& rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',sum_entry_point_pos_pos) ).
fof(f1239,plain,
~ sum(n4,n0,n4),
inference(unit_resulting_resolution,[],[f506,f506,f508,f714,f755,f993]) ).
fof(f993,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X1,n0,X2)
| ~ rdn_translate(n8,rdn_pos(rdnn(X0)))
| ~ rdn_translate(X1,rdn_pos(rdnn(X3)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X4)))
| ~ rdn_digit_add(rdnn(X5),rdnn(n0),rdnn(X0),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X3),rdnn(X5),rdnn(n0)) ),
inference(resolution,[],[f882,f871]) ).
fof(f882,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X2)
| ~ rdn_translate(n8,rdn_pos(X2))
| ~ sum(X0,n0,X1)
| ~ rdn_translate(X0,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(resolution,[],[f881,f876]) ).
fof(f881,plain,
! [X0,X1] :
( ~ sum(X0,X1,n8)
| ~ sum(X1,n0,X0) ),
inference(resolution,[],[f475,f861]) ).
fof(f861,plain,
! [X2,X0,X1] :
( difference(X0,X1,X2)
| ~ sum(X1,X2,X0) ),
inference(cnf_transformation,[],[f474]) ).
fof(f474,plain,
! [X0,X1,X2] :
( ( sum(X1,X2,X0)
| ~ difference(X0,X1,X2) )
& ( difference(X0,X1,X2)
| ~ sum(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f296]) ).
fof(f296,axiom,
! [X0,X1,X2] :
( sum(X1,X2,X0)
<=> difference(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',minus_entry_point) ).
fof(f475,plain,
! [X0,X1] :
( ~ difference(X0,X1,n0)
| ~ sum(X0,X1,n8) ),
inference(cnf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0,X1] :
( ~ difference(X0,X1,n0)
| ~ sum(X0,X1,n8) ),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0,X1] :
( difference(X0,X1,n0)
& sum(X0,X1,n8) ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0,X1] :
( difference(X0,X1,n0)
& sum(X0,X1,n8) ),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',sum_and_difference) ).
fof(f755,plain,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
inference(cnf_transformation,[],[f382]) ).
fof(f382,axiom,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',rdn_digit_add_n8_n0_n8_n0) ).
fof(f714,plain,
rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
inference(cnf_transformation,[],[f346]) ).
fof(f346,axiom,
rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',rdn_digit_add_n4_n4_n8_n0) ).
fof(f508,plain,
rdn_translate(n8,rdn_pos(rdnn(n8))),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',rdn8) ).
fof(f511,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',rdn0) ).
fof(f506,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',rdn4) ).
fof(f752,plain,
rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
inference(cnf_transformation,[],[f342]) ).
fof(f342,axiom,
rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849',rdn_digit_add_n4_n0_n4_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : NUM342+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.37 % Computer : n017.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Fri Aug 25 15:02:55 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.17/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.17/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.4kFkzPzCzZ/Vampire---4.8_19849
% 0.17/0.38 % (19964)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19972)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.45 % (19969)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.45 % (19970)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.45 % (19966)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.45 % (19967)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.45 % (19968)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.45 % (19971)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.46 % (19972)Refutation not found, incomplete strategy% (19972)------------------------------
% 0.23/0.46 % (19972)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (19972)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (19972)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.46
% 0.23/0.46 % (19972)Memory used [KB]: 6140
% 0.23/0.46 % (19972)Time elapsed: 0.010 s
% 0.23/0.46 % (19972)------------------------------
% 0.23/0.46 % (19972)------------------------------
% 0.23/0.46 % (19966)Refutation not found, incomplete strategy% (19966)------------------------------
% 0.23/0.46 % (19966)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (19966)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (19966)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.46
% 0.23/0.46 % (19966)Memory used [KB]: 6396
% 0.23/0.46 % (19966)Time elapsed: 0.016 s
% 0.23/0.46 % (19966)------------------------------
% 0.23/0.46 % (19966)------------------------------
% 0.23/0.52 % (19974)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_333 on Vampire---4 for (333ds/0Mi)
% 0.23/0.54 % (19973)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 0.23/0.65 % (19973)First to succeed.
% 0.23/0.65 % (19973)Refutation found. Thanks to Tanya!
% 0.23/0.65 % SZS status Theorem for Vampire---4
% 0.23/0.65 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.65 % (19973)------------------------------
% 0.23/0.65 % (19973)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.65 % (19973)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.65 % (19973)Termination reason: Refutation
% 0.23/0.65
% 0.23/0.65 % (19973)Memory used [KB]: 18293
% 0.23/0.65 % (19973)Time elapsed: 0.111 s
% 0.23/0.65 % (19973)------------------------------
% 0.23/0.65 % (19973)------------------------------
% 0.23/0.65 % (19964)Success in time 0.274 s
% 0.23/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------