TSTP Solution File: SYO633-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Sun May 5 12:30:54 EDT 2024
% Result : Unsatisfiable 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 102 ( 54 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,plain,
$false,
inference(resolution,[],[f30,f18]) ).
fof(f18,plain,
! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))),
inference(subsumption_resolution,[],[f17,f5]) ).
fof(f5,axiom,
! [X7] : 'E'(f(X7),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_05) ).
fof(f17,plain,
! [X3,X1] :
( ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))) ),
inference(subsumption_resolution,[],[f16,f4]) ).
fof(f4,axiom,
! [X1] : 'E'(f(X1),s(s(s(s('0'))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).
fof(f16,plain,
! [X3,X0,X1] :
( ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))) ),
inference(subsumption_resolution,[],[f12,f15]) ).
fof(f15,plain,
! [X1] : 'E'(f(X1),s(s(s('0')))),
inference(subsumption_resolution,[],[f14,f5]) ).
fof(f14,plain,
! [X1] :
( 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
inference(subsumption_resolution,[],[f10,f4]) ).
fof(f10,axiom,
! [X0,X1] :
( 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_10) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4_12) ).
fof(f30,plain,
! [X0] : ~ 'E'(f(X0),s(s('0'))),
inference(resolution,[],[f29,f25]) ).
fof(f25,plain,
! [X0] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X0)),s('0')),
inference(resolution,[],[f24,f18]) ).
fof(f24,plain,
! [X3,X4] :
( ~ 'E'(f(X4),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0')) ),
inference(subsumption_resolution,[],[f23,f5]) ).
fof(f23,plain,
! [X3,X1,X4] :
( ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0')) ),
inference(subsumption_resolution,[],[f22,f4]) ).
fof(f22,plain,
! [X3,X0,X1,X4] :
( ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0')) ),
inference(subsumption_resolution,[],[f9,f15]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_09) ).
fof(f29,plain,
! [X4,X5] :
( ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0'))) ),
inference(subsumption_resolution,[],[f28,f21]) ).
fof(f21,plain,
! [X6,X4,X5] :
( ~ 'E'(f(X6),'0')
| ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0'))) ),
inference(subsumption_resolution,[],[f20,f5]) ).
fof(f20,plain,
! [X1,X6,X4,X5] :
( ~ 'E'(f(X6),'0')
| ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
inference(subsumption_resolution,[],[f19,f4]) ).
fof(f19,plain,
! [X0,X1,X6,X4,X5] :
( ~ 'E'(f(X6),'0')
| ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
inference(subsumption_resolution,[],[f3,f15]) ).
fof(f3,axiom,
! [X2,X0,X1,X6,X4,X5] :
( ~ 'E'(f(X6),'0')
| ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5_03) ).
fof(f28,plain,
! [X3,X4,X5] :
( ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0') ),
inference(subsumption_resolution,[],[f27,f5]) ).
fof(f27,plain,
! [X3,X1,X4,X5] :
( ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0') ),
inference(subsumption_resolution,[],[f26,f4]) ).
fof(f26,plain,
! [X3,X0,X1,X4,X5] :
( ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0') ),
inference(subsumption_resolution,[],[f7,f15]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'(f(X5),s('0'))
| ~ 'E'(f(X4),s(s('0')))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_07) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 15:41:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (18532)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (18533)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 % (18534)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (18537)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37 % (18536)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37 % (18538)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37 % (18535)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.37 TRYING [3]
% 0.21/0.37 % (18537)First to succeed.
% 0.21/0.38 % (18538)Also succeeded, but the first one will report.
% 0.21/0.38 % (18537)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18532"
% 0.21/0.38 % (18537)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (18537)------------------------------
% 0.21/0.38 % (18537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (18537)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (18537)Memory used [KB]: 748
% 0.21/0.38 % (18537)Time elapsed: 0.003 s
% 0.21/0.38 % (18537)Instructions burned: 3 (million)
% 0.21/0.38 % (18532)Success in time 0.02 s
%------------------------------------------------------------------------------