TSTP Solution File: SYO680-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO680-1 : 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 : n013.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 05:06:19 EDT 2023
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 56 ( 7 unt; 0 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 282 ( 146 ~; 136 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 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 : 71 (; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f194,plain,
$false,
inference(resolution,[],[f193,f9]) ).
fof(f9,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_66) ).
fof(f193,plain,
! [X0] : 'LE'(f(X0),'0'),
inference(subsumption_resolution,[],[f192,f185]) ).
fof(f185,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0)) ),
inference(resolution,[],[f184,f17]) ).
fof(f17,axiom,
! [X3] :
( ~ 'LE'(f(X3),s('0'))
| 'LE'(f(X3),'0')
| 'E'('0',f(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_96) ).
fof(f184,plain,
! [X2] : 'LE'(f(X2),s('0')),
inference(subsumption_resolution,[],[f179,f166]) ).
fof(f166,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f165,f8]) ).
fof(f8,axiom,
! [X10] :
( ~ 'LE'(f(X10),s(s('0')))
| 'LE'(f(X10),s('0'))
| 'E'(s('0'),f(X10)) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_6) ).
fof(f165,plain,
! [X0] : 'LE'(f(X0),s(s('0'))),
inference(subsumption_resolution,[],[f160,f156]) ).
fof(f156,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f155,f13]) ).
fof(f13,axiom,
! [X11] :
( ~ 'LE'(f(X11),s(s(s('0'))))
| 'LE'(f(X11),s(s('0')))
| 'E'(s(s('0')),f(X11)) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_51) ).
fof(f155,plain,
! [X1] : 'LE'(f(X1),s(s(s('0')))),
inference(subsumption_resolution,[],[f153,f19]) ).
fof(f19,plain,
! [X14] :
( 'LE'(f(X14),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X14)) ),
inference(subsumption_resolution,[],[f12,f2]) ).
fof(f2,axiom,
! [X1] : 'LE'(f(X1),s(s(s(s('0'))))),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_104) ).
fof(f12,axiom,
! [X14] :
( 'E'(s(s(s('0'))),f(X14))
| 'LE'(f(X14),s(s(s('0'))))
| ~ 'LE'(f(X14),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_127) ).
fof(f153,plain,
! [X1] :
( ~ 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(resolution,[],[f151,f20]) ).
fof(f20,plain,
! [X14] :
( 'E'(s(s(s('0'))),f(suc(X14)))
| 'LE'(f(X14),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f15,f2]) ).
fof(f15,axiom,
! [X14] :
( 'LE'(f(X14),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(suc(X14)))
| ~ 'LE'(f(suc(X14)),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_102) ).
fof(f151,plain,
! [X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X1)) ),
inference(subsumption_resolution,[],[f149,f16]) ).
fof(f16,axiom,
! [X9] :
( ~ 'E'(s(s(s('0'))),f(suc(X9)))
| ~ 'E'(s(s(s('0'))),f(X9))
| iLEQ(suc(X9),suc(X9)) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_14) ).
fof(f149,plain,
! [X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(X1),suc(X1)) ),
inference(duplicate_literal_removal,[],[f148]) ).
fof(f148,plain,
! [X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(X1),suc(X1)) ),
inference(factoring,[],[f98]) ).
fof(f98,plain,
! [X4,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ 'E'(s(s(s('0'))),f(X4))
| ~ 'E'(s(s(s('0'))),f(suc(X4)))
| ~ iLEQ(suc(X4),suc(X5)) ),
inference(subsumption_resolution,[],[f96,f16]) ).
fof(f96,plain,
! [X4,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(X4)))
| ~ iLEQ(suc(X4),suc(X4))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ 'E'(s(s(s('0'))),f(X4))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ iLEQ(suc(X4),suc(X5)) ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f93,plain,
! [X4,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(X4)))
| ~ iLEQ(suc(X4),suc(X4))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ 'E'(s(s(s('0'))),f(X4))
| ~ 'E'(s(s(s('0'))),f(X4))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ iLEQ(suc(X4),suc(X5)) ),
inference(factoring,[],[f7]) ).
fof(f7,axiom,
! [X8,X9,X7] :
( ~ 'E'(s(s(s('0'))),f(suc(X9)))
| ~ iLEQ(suc(X9),suc(X7))
| ~ 'E'(s(s(s('0'))),f(X8))
| ~ 'E'(s(s(s('0'))),f(X7))
| ~ 'E'(s(s(s('0'))),f(X9))
| ~ 'E'(s(s(s('0'))),f(suc(X7)))
| ~ 'E'(s(s(s('0'))),f(suc(X8)))
| ~ iLEQ(suc(X7),suc(X8)) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_71) ).
fof(f160,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| ~ 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f157,f113]) ).
fof(f113,plain,
! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(subsumption_resolution,[],[f112,f5]) ).
fof(f5,axiom,
! [X4] :
( ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4))
| iLEQ(suc(X4),suc(X4)) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_5) ).
fof(f112,plain,
! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X1))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(duplicate_literal_removal,[],[f111]) ).
fof(f111,plain,
! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X1))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(factoring,[],[f77]) ).
fof(f77,plain,
! [X6,X7] :
( ~ 'E'(s(s('0')),f(suc(X7)))
| ~ iLEQ(suc(X7),suc(X6))
| ~ 'E'(s(s('0')),f(X6))
| ~ 'E'(s(s('0')),f(X7))
| ~ 'E'(s(s('0')),f(suc(X6))) ),
inference(subsumption_resolution,[],[f75,f5]) ).
fof(f75,plain,
! [X6,X7] :
( ~ 'E'(s(s('0')),f(suc(X6)))
| ~ iLEQ(suc(X7),suc(X6))
| ~ 'E'(s(s('0')),f(X6))
| ~ 'E'(s(s('0')),f(X7))
| ~ iLEQ(suc(X6),suc(X6))
| ~ 'E'(s(s('0')),f(suc(X7))) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f74,plain,
! [X6,X7] :
( ~ 'E'(s(s('0')),f(suc(X6)))
| ~ iLEQ(suc(X7),suc(X6))
| ~ 'E'(s(s('0')),f(X6))
| ~ 'E'(s(s('0')),f(X6))
| ~ 'E'(s(s('0')),f(X7))
| ~ iLEQ(suc(X6),suc(X6))
| ~ 'E'(s(s('0')),f(suc(X7))) ),
inference(factoring,[],[f6]) ).
fof(f6,axiom,
! [X6,X4,X5] :
( ~ 'E'(s(s('0')),f(suc(X6)))
| ~ iLEQ(suc(X4),suc(X5))
| ~ 'E'(s(s('0')),f(X5))
| ~ 'E'(s(s('0')),f(X6))
| ~ 'E'(s(s('0')),f(X4))
| ~ iLEQ(suc(X5),suc(X6))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(suc(X5))) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_20) ).
fof(f157,plain,
! [X1] :
( 'E'(s(s('0')),f(suc(X1)))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f155,f10]) ).
fof(f10,axiom,
! [X11] :
( ~ 'LE'(f(suc(X11)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X11)))
| 'LE'(f(X11),s(s('0'))) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_84) ).
fof(f179,plain,
! [X2] :
( 'LE'(f(X2),s('0'))
| ~ 'E'(s('0'),f(X2)) ),
inference(resolution,[],[f167,f81]) ).
fof(f81,plain,
! [X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1)) ),
inference(subsumption_resolution,[],[f80,f3]) ).
fof(f3,axiom,
! [X2] :
( ~ 'E'(s('0'),f(suc(X2)))
| iLEQ(suc(X2),suc(X2))
| ~ 'E'(s('0'),f(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_91) ).
fof(f80,plain,
! [X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X1)) ),
inference(duplicate_literal_removal,[],[f79]) ).
fof(f79,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,[],[f56]) ).
fof(f56,plain,
! [X6,X7] :
( ~ 'E'(s('0'),f(suc(X7)))
| ~ 'E'(s('0'),f(X6))
| ~ 'E'(s('0'),f(X7))
| ~ iLEQ(suc(X7),suc(X6))
| ~ 'E'(s('0'),f(suc(X6))) ),
inference(subsumption_resolution,[],[f54,f3]) ).
fof(f54,plain,
! [X6,X7] :
( ~ 'E'(s('0'),f(suc(X6)))
| ~ 'E'(s('0'),f(X6))
| ~ 'E'(s('0'),f(X7))
| ~ iLEQ(suc(X6),suc(X6))
| ~ iLEQ(suc(X7),suc(X6))
| ~ 'E'(s('0'),f(suc(X7))) ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f53,plain,
! [X6,X7] :
( ~ 'E'(s('0'),f(suc(X6)))
| ~ 'E'(s('0'),f(X6))
| ~ 'E'(s('0'),f(X7))
| ~ iLEQ(suc(X6),suc(X6))
| ~ iLEQ(suc(X7),suc(X6))
| ~ 'E'(s('0'),f(X6))
| ~ 'E'(s('0'),f(suc(X7))) ),
inference(factoring,[],[f14]) ).
fof(f14,axiom,
! [X2,X16,X15] :
( ~ 'E'(s('0'),f(suc(X16)))
| ~ 'E'(s('0'),f(X16))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X15),suc(X16))
| ~ iLEQ(suc(X2),suc(X15))
| ~ 'E'(s('0'),f(X15))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X15))) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_21) ).
fof(f167,plain,
! [X1] :
( 'E'(s('0'),f(suc(X1)))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f165,f18]) ).
fof(f18,axiom,
! [X10] :
( ~ 'LE'(f(suc(X10)),s(s('0')))
| 'E'(s('0'),f(suc(X10)))
| 'LE'(f(X10),s('0')) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_15) ).
fof(f192,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(X0)) ),
inference(resolution,[],[f186,f37]) ).
fof(f37,plain,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(subsumption_resolution,[],[f34,f1]) ).
fof(f1,axiom,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_109) ).
fof(f34,plain,
! [X0] :
( ~ iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0))) ),
inference(duplicate_literal_removal,[],[f33]) ).
fof(f33,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,[],[f11]) ).
fof(f11,axiom,
! [X0,X12,X13] :
( ~ iLEQ(suc(X12),suc(X13))
| ~ 'E'('0',f(X13))
| ~ 'E'('0',f(X12))
| ~ 'E'('0',f(suc(X13)))
| ~ 'E'('0',f(suc(X12)))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X12))
| ~ 'E'('0',f(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_144) ).
fof(f186,plain,
! [X1] :
( 'E'('0',f(suc(X1)))
| 'LE'(f(X1),'0') ),
inference(resolution,[],[f184,f4]) ).
fof(f4,axiom,
! [X3] :
( ~ 'LE'(f(suc(X3)),s('0'))
| 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
file('/export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846',clause_114) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO680-1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 06:31:47 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.21/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.pCPeURMxBt/Vampire---4.8_20846
% 0.21/0.37 % (20977)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (20979)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)
% 0.21/0.43 % (20982)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)
% 0.21/0.43 % (20978)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)
% 0.21/0.44 % (20982)First to succeed.
% 0.21/0.44 % (20978)Also succeeded, but the first one will report.
% 0.21/0.44 % (20982)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (20982)------------------------------
% 0.21/0.44 % (20982)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (20982)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (20982)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (20982)Memory used [KB]: 5500
% 0.21/0.44 % (20982)Time elapsed: 0.010 s
% 0.21/0.44 % (20982)------------------------------
% 0.21/0.44 % (20982)------------------------------
% 0.21/0.44 % (20977)Success in time 0.072 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------