TSTP Solution File: SYO629-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO629-1 : 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 : n005.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 : Tue Apr 30 18:23:28 EDT 2024
% Result : Unsatisfiable 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,plain,
$false,
inference(resolution,[],[f22,f21]) ).
fof(f21,plain,
! [X0] : 'E'('0',f(g(X0))),
inference(subsumption_resolution,[],[f19,f17]) ).
fof(f17,plain,
! [X0] :
( 'E'(s('0'),f(X0))
| 'E'('0',f(g(X0))) ),
inference(resolution,[],[f15,f9]) ).
fof(f9,axiom,
! [X0] : iLEQ(X0,g(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_09) ).
fof(f15,plain,
! [X0,X1] :
( ~ iLEQ(X1,X0)
| 'E'('0',f(X0))
| 'E'(s('0'),f(X1)) ),
inference(resolution,[],[f14,f4]) ).
fof(f4,axiom,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s('0'),f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_04) ).
fof(f14,plain,
! [X2,X3] :
( ~ 'LE'(f(X2),s('0'))
| 'E'('0',f(X3))
| ~ iLEQ(X2,X3) ),
inference(subsumption_resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : ~ 'LE'(f(X0),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_05) ).
fof(f6,axiom,
! [X2,X3] :
( ~ iLEQ(X2,X3)
| 'LE'(f(X3),'0')
| 'E'('0',f(X3))
| ~ 'LE'(f(X2),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10_06) ).
fof(f19,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| 'E'('0',f(g(X0))) ),
inference(resolution,[],[f18,f16]) ).
fof(f16,plain,
! [X0] :
( 'E'(s('0'),f(X0))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f15,f2]) ).
fof(f2,axiom,
! [X0] : iLEQ(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_02) ).
fof(f18,plain,
! [X4] :
( ~ 'E'(s('0'),f(g(X4)))
| ~ 'E'(s('0'),f(X4)) ),
inference(subsumption_resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0] : ~ 'E'(f(X0),f(g(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_01) ).
fof(f7,axiom,
! [X4] :
( ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(g(X4)))
| 'E'(f(X4),f(g(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_07) ).
fof(f22,plain,
! [X0] : ~ 'E'('0',f(X0)),
inference(resolution,[],[f21,f13]) ).
fof(f13,plain,
! [X0] :
( ~ 'E'('0',f(g(X0)))
| ~ 'E'('0',f(X0)) ),
inference(subsumption_resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11_03) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SYO629-1 : TPTP v8.1.2. Released v7.1.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:46:11 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (13103)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (13109)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (13106)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)
% 0.11/0.34 % (13104)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (13105)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (13110)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (13108)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (13107)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (13109)First to succeed.
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 % (13106)Also succeeded, but the first one will report.
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1,1]
% 0.11/0.34 TRYING [1,1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2,1]
% 0.11/0.34 TRYING [2,1]
% 0.11/0.34 % (13108)Also succeeded, but the first one will report.
% 0.11/0.34 TRYING [3,1]
% 0.11/0.34 % (13109)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (13109)------------------------------
% 0.11/0.34 % (13109)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34 % (13109)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (13109)Memory used [KB]: 746
% 0.11/0.34 % (13109)Time elapsed: 0.004 s
% 0.11/0.34 % (13109)Instructions burned: 3 (million)
% 0.11/0.34 % (13109)------------------------------
% 0.11/0.34 % (13109)------------------------------
% 0.11/0.34 % (13103)Success in time 0.018 s
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