TSTP Solution File: SYO664-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 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 : n009.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 : Fri Sep 1 05:06:14 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 5 unt; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 329 ( 171 ~; 158 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 67 (; 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,plain,
$false,
inference(resolution,[],[f137,f2]) ).
fof(f2,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_70) ).
fof(f137,plain,
! [X0] : 'LE'(f(X0),'0'),
inference(subsumption_resolution,[],[f136,f133]) ).
fof(f133,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0)) ),
inference(resolution,[],[f120,f8]) ).
fof(f8,axiom,
! [X12] :
( ~ 'LE'(f(X12),s('0'))
| 'LE'(f(X12),'0')
| 'E'('0',f(X12)) ),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_94) ).
fof(f120,plain,
! [X1] : 'LE'(f(X1),s('0')),
inference(subsumption_resolution,[],[f118,f11]) ).
fof(f11,plain,
! [X5] :
( 'LE'(f(X5),s('0'))
| 'E'(s('0'),f(X5)) ),
inference(subsumption_resolution,[],[f3,f5]) ).
fof(f5,axiom,
! [X11] : 'LE'(f(X11),s(s('0'))),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_58) ).
fof(f3,axiom,
! [X5] :
( 'E'(s('0'),f(X5))
| 'LE'(f(X5),s('0'))
| ~ 'LE'(f(X5),s(s('0'))) ),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_20) ).
fof(f118,plain,
! [X1] :
( ~ 'E'(s('0'),f(X1))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f116,f12]) ).
fof(f12,plain,
! [X5] :
( 'E'(s('0'),f(suc(X5)))
| 'LE'(f(X5),s('0')) ),
inference(subsumption_resolution,[],[f10,f5]) ).
fof(f10,axiom,
! [X5] :
( 'LE'(f(X5),s('0'))
| 'E'(s('0'),f(suc(X5)))
| ~ 'LE'(f(suc(X5)),s(s('0'))) ),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_83) ).
fof(f116,plain,
! [X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1)) ),
inference(subsumption_resolution,[],[f114,f9]) ).
fof(f9,axiom,
! [X3] :
( ~ 'E'(s('0'),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'(s('0'),f(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_50) ).
fof(f114,plain,
! [X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X1)) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
! [X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X1)) ),
inference(factoring,[],[f108]) ).
fof(f108,plain,
! [X4,X5] :
( ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(X5))
| ~ iLEQ(suc(X4),suc(X5))
| ~ 'E'(s('0'),f(suc(X4))) ),
inference(subsumption_resolution,[],[f106,f9]) ).
fof(f106,plain,
! [X4,X5] :
( ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(X5))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X4),suc(X4))
| ~ 'E'(s('0'),f(suc(X5))) ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f103,plain,
! [X4,X5] :
( ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(X4))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X4),suc(X4))
| ~ 'E'(s('0'),f(suc(X5))) ),
inference(factoring,[],[f97]) ).
fof(f97,plain,
! [X14,X12,X13] :
( ~ 'E'(s('0'),f(suc(X14)))
| ~ 'E'(s('0'),f(X13))
| ~ 'E'(s('0'),f(X12))
| ~ 'E'(s('0'),f(X14))
| ~ iLEQ(suc(X14),suc(X12))
| ~ iLEQ(suc(X13),suc(X14))
| ~ 'E'(s('0'),f(suc(X13)))
| ~ 'E'(s('0'),f(suc(X12))) ),
inference(subsumption_resolution,[],[f94,f9]) ).
fof(f94,plain,
! [X14,X12,X13] :
( ~ 'E'(s('0'),f(suc(X12)))
| ~ 'E'(s('0'),f(X13))
| ~ 'E'(s('0'),f(X12))
| ~ 'E'(s('0'),f(X14))
| ~ iLEQ(suc(X14),suc(X12))
| ~ iLEQ(suc(X13),suc(X14))
| ~ iLEQ(suc(X12),suc(X12))
| ~ 'E'(s('0'),f(suc(X13)))
| ~ 'E'(s('0'),f(suc(X14))) ),
inference(duplicate_literal_removal,[],[f91]) ).
fof(f91,plain,
! [X14,X12,X13] :
( ~ 'E'(s('0'),f(suc(X12)))
| ~ 'E'(s('0'),f(X13))
| ~ 'E'(s('0'),f(X12))
| ~ 'E'(s('0'),f(X14))
| ~ iLEQ(suc(X14),suc(X12))
| ~ iLEQ(suc(X13),suc(X14))
| ~ iLEQ(suc(X12),suc(X12))
| ~ 'E'(s('0'),f(suc(X13)))
| ~ 'E'(s('0'),f(suc(X14)))
| ~ 'E'(s('0'),f(X12)) ),
inference(factoring,[],[f71]) ).
fof(f71,plain,
! [X18,X19,X16,X17] :
( ~ 'E'(s('0'),f(suc(X19)))
| ~ 'E'(s('0'),f(X17))
| ~ 'E'(s('0'),f(X18))
| ~ 'E'(s('0'),f(X16))
| ~ iLEQ(suc(X16),suc(X19))
| ~ iLEQ(suc(X17),suc(X16))
| ~ iLEQ(suc(X19),suc(X18))
| ~ 'E'(s('0'),f(suc(X17)))
| ~ 'E'(s('0'),f(suc(X18)))
| ~ 'E'(s('0'),f(suc(X16)))
| ~ 'E'(s('0'),f(X19)) ),
inference(subsumption_resolution,[],[f68,f9]) ).
fof(f68,plain,
! [X18,X19,X16,X17] :
( ~ 'E'(s('0'),f(suc(X16)))
| ~ 'E'(s('0'),f(X17))
| ~ 'E'(s('0'),f(X18))
| ~ 'E'(s('0'),f(X16))
| ~ iLEQ(suc(X16),suc(X19))
| ~ iLEQ(suc(X17),suc(X16))
| ~ iLEQ(suc(X16),suc(X16))
| ~ iLEQ(suc(X19),suc(X18))
| ~ 'E'(s('0'),f(suc(X17)))
| ~ 'E'(s('0'),f(suc(X18)))
| ~ 'E'(s('0'),f(suc(X19)))
| ~ 'E'(s('0'),f(X19)) ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f62,plain,
! [X18,X19,X16,X17] :
( ~ 'E'(s('0'),f(suc(X16)))
| ~ 'E'(s('0'),f(X17))
| ~ 'E'(s('0'),f(X18))
| ~ 'E'(s('0'),f(X16))
| ~ 'E'(s('0'),f(X16))
| ~ iLEQ(suc(X16),suc(X19))
| ~ iLEQ(suc(X17),suc(X16))
| ~ iLEQ(suc(X16),suc(X16))
| ~ iLEQ(suc(X19),suc(X18))
| ~ 'E'(s('0'),f(suc(X17)))
| ~ 'E'(s('0'),f(suc(X18)))
| ~ 'E'(s('0'),f(suc(X19)))
| ~ 'E'(s('0'),f(X19)) ),
inference(factoring,[],[f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] :
( ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_37) ).
fof(f136,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(X0)) ),
inference(resolution,[],[f134,f46]) ).
fof(f46,plain,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(subsumption_resolution,[],[f41,f6]) ).
fof(f6,axiom,
! [X8] :
( iLEQ(suc(X8),suc(X8))
| ~ 'E'('0',f(suc(X8)))
| ~ 'E'('0',f(X8)) ),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_6) ).
fof(f41,plain,
! [X0] :
( ~ iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0))) ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ~ iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(factoring,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1)) ),
inference(subsumption_resolution,[],[f29,f6]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X2),suc(X0)) ),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X2),suc(X0)) ),
inference(factoring,[],[f4]) ).
fof(f4,axiom,
! [X10,X8,X6,X9,X7] :
( ~ iLEQ(suc(X9),suc(X6))
| ~ 'E'('0',f(X8))
| ~ 'E'('0',f(X7))
| ~ 'E'('0',f(X6))
| ~ 'E'('0',f(X10))
| ~ 'E'('0',f(suc(X10)))
| ~ 'E'('0',f(suc(X9)))
| ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(suc(X7)))
| ~ 'E'('0',f(suc(X8)))
| ~ iLEQ(suc(X6),suc(X10))
| ~ 'E'('0',f(X9))
| ~ iLEQ(suc(X8),suc(X7))
| ~ iLEQ(suc(X7),suc(X9)) ),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_66) ).
fof(f134,plain,
! [X1] :
( 'E'('0',f(suc(X1)))
| 'LE'(f(X1),'0') ),
inference(resolution,[],[f120,f7]) ).
fof(f7,axiom,
! [X12] :
( ~ 'LE'(f(suc(X12)),s('0'))
| 'E'('0',f(suc(X12)))
| 'LE'(f(X12),'0') ),
file('/export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787',clause_117) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 01:48:06 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.3XfOoUXzXY/Vampire---4.8_9787
% 0.14/0.36 % (9895)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (9901)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)
% 0.22/0.42 % (9902)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)
% 0.22/0.42 % (9900)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)
% 0.22/0.42 % (9897)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)
% 0.22/0.42 % (9896)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)
% 0.22/0.42 % (9898)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)
% 0.22/0.42 % (9902)Refutation not found, incomplete strategy% (9902)------------------------------
% 0.22/0.42 % (9902)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (9902)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (9902)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42 % (9902)Memory used [KB]: 895
% 0.22/0.42 % (9902)Time elapsed: 0.002 s
% 0.22/0.42 % (9902)------------------------------
% 0.22/0.42 % (9902)------------------------------
% 0.22/0.42 % (9901)Refutation not found, incomplete strategy% (9901)------------------------------
% 0.22/0.42 % (9901)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (9901)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (9901)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42 % (9901)Memory used [KB]: 5373
% 0.22/0.42 % (9901)Time elapsed: 0.003 s
% 0.22/0.42 % (9901)------------------------------
% 0.22/0.42 % (9901)------------------------------
% 0.22/0.43 % (9900)First to succeed.
% 0.22/0.44 % (9896)Also succeeded, but the first one will report.
% 0.22/0.44 % (9900)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (9900)------------------------------
% 0.22/0.44 % (9900)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (9900)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (9900)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (9900)Memory used [KB]: 5500
% 0.22/0.44 % (9900)Time elapsed: 0.014 s
% 0.22/0.44 % (9900)------------------------------
% 0.22/0.44 % (9900)------------------------------
% 0.22/0.44 % (9895)Success in time 0.073 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------