TSTP Solution File: NUM024-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM024-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 May 1 03:26:30 EDT 2024
% Result : Unsatisfiable 0.63s 0.83s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f359,plain,
$false,
inference(subsumption_resolution,[],[f356,f16]) ).
fof(f16,axiom,
! [X0] : ~ equalish(successor(X0),n0),
file('/export/starexec/sandbox2/tmp/tmp.DWWJ6dTrI2/Vampire---4.8_29270',prove_a_contradiction) ).
fof(f356,plain,
equalish(successor(predecessor_of_1st_minus_2nd(a,a)),n0),
inference(resolution,[],[f174,f105]) ).
fof(f105,plain,
! [X0] : equalish(X0,add(n0,X0)),
inference(resolution,[],[f67,f49]) ).
fof(f49,plain,
! [X0] : equalish(X0,add(X0,n0)),
inference(resolution,[],[f37,f1]) ).
fof(f1,axiom,
! [X0] : equalish(add(X0,n0),X0),
file('/export/starexec/sandbox2/tmp/tmp.DWWJ6dTrI2/Vampire---4.8_29270',adding_zero) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ equalish(add(X1,X2),add(X0,X2))
| equalish(X0,X1) ),
inference(resolution,[],[f13,f11]) ).
fof(f11,axiom,
! [X3,X4] :
( equalish(X4,X3)
| ~ equalish(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.DWWJ6dTrI2/Vampire---4.8_29270',symmetry) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),add(X2,X1))
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.DWWJ6dTrI2/Vampire---4.8_29270',plus_substitution) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),add(X2,X0))
| equalish(X1,X2) ),
inference(resolution,[],[f36,f14]) ).
fof(f14,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.DWWJ6dTrI2/Vampire---4.8_29270',commutativity_of_plus) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X0,X3),X2)
| ~ equalish(X2,add(X1,X3))
| equalish(X0,X1) ),
inference(resolution,[],[f13,f12]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( equalish(X3,X5)
| ~ equalish(X4,X5)
| ~ equalish(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.DWWJ6dTrI2/Vampire---4.8_29270',transitivity) ).
fof(f174,plain,
! [X0] :
( ~ equalish(a,add(X0,a))
| equalish(successor(predecessor_of_1st_minus_2nd(a,a)),X0) ),
inference(resolution,[],[f63,f15]) ).
fof(f15,axiom,
less(a,a),
file('/export/starexec/sandbox2/tmp/tmp.DWWJ6dTrI2/Vampire---4.8_29270',impossible_a_is_less_than_itself) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ less(X2,X0)
| equalish(successor(predecessor_of_1st_minus_2nd(X0,X2)),X1)
| ~ equalish(X0,add(X1,X2)) ),
inference(resolution,[],[f36,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.DWWJ6dTrI2/Vampire---4.8_29270',less_lemma) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM024-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 17:12:05 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.12/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.DWWJ6dTrI2/Vampire---4.8_29270
% 0.63/0.81 % (29386)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81 % (29387)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81 % (29384)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.63/0.81 % (29385)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.63/0.81 % (29389)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81 % (29388)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.63/0.81 % (29390)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.63/0.81 % (29391)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.63/0.83 % (29386)First to succeed.
% 0.63/0.83 % (29386)Refutation found. Thanks to Tanya!
% 0.63/0.83 % SZS status Unsatisfiable for Vampire---4
% 0.63/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.83 % (29386)------------------------------
% 0.63/0.83 % (29386)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (29386)Termination reason: Refutation
% 0.63/0.83
% 0.63/0.83 % (29386)Memory used [KB]: 1097
% 0.63/0.83 % (29386)Time elapsed: 0.015 s
% 0.63/0.83 % (29386)Instructions burned: 23 (million)
% 0.63/0.83 % (29386)------------------------------
% 0.63/0.83 % (29386)------------------------------
% 0.63/0.83 % (29378)Success in time 0.486 s
% 0.63/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------