TSTP Solution File: SYO580+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 18:22:00 EDT 2024
% Result : Theorem 0.12s 0.39s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 158 ( 50 ~; 38 |; 50 &)
% ( 3 <=>; 16 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 47 ( 25 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4599,plain,
$false,
inference(subsumption_resolution,[],[f4594,f4525]) ).
fof(f4525,plain,
~ k04_buttercup10303(sK49),
inference(subsumption_resolution,[],[f4521,f3563]) ).
fof(f3563,plain,
~ b48_buttercup10305(sK114),
inference(cnf_transformation,[],[f2445]) ).
fof(f2445,plain,
( ~ b48_buttercup10305(sK114)
& k04_buttercup10303(sK114)
& ! [X1] :
( k04_buttercup10303(X1)
| ~ b48_buttercup10305(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK114])],[f2038,f2444]) ).
fof(f2444,plain,
( ? [X0] :
( ~ b48_buttercup10305(X0)
& k04_buttercup10303(X0) )
=> ( ~ b48_buttercup10305(sK114)
& k04_buttercup10303(sK114) ) ),
introduced(choice_axiom,[]) ).
fof(f2038,plain,
( ? [X0] :
( ~ b48_buttercup10305(X0)
& k04_buttercup10303(X0) )
& ! [X1] :
( k04_buttercup10303(X1)
| ~ b48_buttercup10305(X1) ) ),
inference(ennf_transformation,[],[f951]) ).
fof(f951,plain,
( ? [X0] :
( ~ b48_buttercup10305(X0)
& k04_buttercup10303(X0) )
& ! [X1] :
( b48_buttercup10305(X1)
=> k04_buttercup10303(X1) ) ),
inference(rectify,[],[f320]) ).
fof(f320,axiom,
( ? [X320] :
( ~ b48_buttercup10305(X320)
& k04_buttercup10303(X320) )
& ! [X319] :
( b48_buttercup10305(X319)
=> k04_buttercup10303(X319) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_320) ).
fof(f4521,plain,
( b48_buttercup10305(sK114)
| ~ k04_buttercup10303(sK49) ),
inference(resolution,[],[f3386,f3562]) ).
fof(f3562,plain,
k04_buttercup10303(sK114),
inference(cnf_transformation,[],[f2445]) ).
fof(f3386,plain,
! [X1] :
( ~ k04_buttercup10303(X1)
| b48_buttercup10305(X1)
| ~ k04_buttercup10303(sK49) ),
inference(cnf_transformation,[],[f2319]) ).
fof(f2319,plain,
( k04_buttercup10303(sK48)
& b48_buttercup10305(sK48)
& ( ! [X1] :
( b48_buttercup10305(X1)
| ~ k04_buttercup10303(X1) )
| ( ~ k04_buttercup10303(sK49)
& b48_buttercup10305(sK49) ) )
& ( ! [X3] :
( k04_buttercup10303(X3)
| ~ b48_buttercup10305(X3) )
| ( ~ b48_buttercup10305(sK50)
& k04_buttercup10303(sK50) ) )
& ( ~ k04_buttercup10303(sK51)
| ~ b48_buttercup10305(sK51) )
& ( k04_buttercup10303(sK51)
| b48_buttercup10305(sK51) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49,sK50,sK51])],[f2314,f2318,f2317,f2316,f2315]) ).
fof(f2315,plain,
( ? [X0] :
( k04_buttercup10303(X0)
& b48_buttercup10305(X0) )
=> ( k04_buttercup10303(sK48)
& b48_buttercup10305(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f2316,plain,
( ? [X2] :
( ~ k04_buttercup10303(X2)
& b48_buttercup10305(X2) )
=> ( ~ k04_buttercup10303(sK49)
& b48_buttercup10305(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f2317,plain,
( ? [X4] :
( ~ b48_buttercup10305(X4)
& k04_buttercup10303(X4) )
=> ( ~ b48_buttercup10305(sK50)
& k04_buttercup10303(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f2318,plain,
( ? [X5] :
( ( ~ k04_buttercup10303(X5)
| ~ b48_buttercup10305(X5) )
& ( k04_buttercup10303(X5)
| b48_buttercup10305(X5) ) )
=> ( ( ~ k04_buttercup10303(sK51)
| ~ b48_buttercup10305(sK51) )
& ( k04_buttercup10303(sK51)
| b48_buttercup10305(sK51) ) ) ),
introduced(choice_axiom,[]) ).
fof(f2314,plain,
( ? [X0] :
( k04_buttercup10303(X0)
& b48_buttercup10305(X0) )
& ( ! [X1] :
( b48_buttercup10305(X1)
| ~ k04_buttercup10303(X1) )
| ? [X2] :
( ~ k04_buttercup10303(X2)
& b48_buttercup10305(X2) ) )
& ( ! [X3] :
( k04_buttercup10303(X3)
| ~ b48_buttercup10305(X3) )
| ? [X4] :
( ~ b48_buttercup10305(X4)
& k04_buttercup10303(X4) ) )
& ? [X5] :
( ( ~ k04_buttercup10303(X5)
| ~ b48_buttercup10305(X5) )
& ( k04_buttercup10303(X5)
| b48_buttercup10305(X5) ) ) ),
inference(nnf_transformation,[],[f1982]) ).
fof(f1982,plain,
( ? [X0] :
( k04_buttercup10303(X0)
& b48_buttercup10305(X0) )
& ( ! [X1] :
( b48_buttercup10305(X1)
| ~ k04_buttercup10303(X1) )
| ? [X2] :
( ~ k04_buttercup10303(X2)
& b48_buttercup10305(X2) ) )
& ( ! [X3] :
( k04_buttercup10303(X3)
| ~ b48_buttercup10305(X3) )
| ? [X4] :
( ~ b48_buttercup10305(X4)
& k04_buttercup10303(X4) ) )
& ? [X5] :
( b48_buttercup10305(X5)
<~> k04_buttercup10303(X5) ) ),
inference(ennf_transformation,[],[f888]) ).
fof(f888,plain,
~ ( ! [X0] :
( b48_buttercup10305(X0)
=> ~ k04_buttercup10303(X0) )
| ( ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) )
& ! [X2] :
( b48_buttercup10305(X2)
=> k04_buttercup10303(X2) ) )
| ( ? [X3] :
( ~ k04_buttercup10303(X3)
& b48_buttercup10305(X3) )
& ! [X4] :
( k04_buttercup10303(X4)
=> b48_buttercup10305(X4) ) )
| ! [X5] :
( b48_buttercup10305(X5)
<=> k04_buttercup10303(X5) ) ),
inference(rectify,[],[f887]) ).
fof(f887,negated_conjecture,
~ ( ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) )
| ( ? [X1059] :
( ~ b48_buttercup10305(X1059)
& k04_buttercup10303(X1059) )
& ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) ) )
| ( ? [X1057] :
( ~ k04_buttercup10303(X1057)
& b48_buttercup10305(X1057) )
& ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) ) )
| ! [X1055] :
( b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) ) ),
inference(negated_conjecture,[],[f886]) ).
fof(f886,conjecture,
( ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) )
| ( ? [X1059] :
( ~ b48_buttercup10305(X1059)
& k04_buttercup10303(X1059) )
& ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) ) )
| ( ? [X1057] :
( ~ k04_buttercup10303(X1057)
& b48_buttercup10305(X1057) )
& ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) ) )
| ! [X1055] :
( b48_buttercup10305(X1055)
<=> k04_buttercup10303(X1055) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_886) ).
fof(f4594,plain,
k04_buttercup10303(sK49),
inference(resolution,[],[f3561,f4512]) ).
fof(f4512,plain,
b48_buttercup10305(sK49),
inference(subsumption_resolution,[],[f4509,f3563]) ).
fof(f4509,plain,
( b48_buttercup10305(sK114)
| b48_buttercup10305(sK49) ),
inference(resolution,[],[f3385,f3562]) ).
fof(f3385,plain,
! [X1] :
( ~ k04_buttercup10303(X1)
| b48_buttercup10305(X1)
| b48_buttercup10305(sK49) ),
inference(cnf_transformation,[],[f2319]) ).
fof(f3561,plain,
! [X1] :
( ~ b48_buttercup10305(X1)
| k04_buttercup10303(X1) ),
inference(cnf_transformation,[],[f2445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% 0.08/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n006.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 00:50:50 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (5622)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37 % (5626)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.37 % (5625)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)
% 0.12/0.37 % (5624)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.37 % (5628)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.37 % (5627)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.37 % (5629)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)
% 0.12/0.37 % (5623)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.39 % (5627)First to succeed.
% 0.12/0.39 % (5628)Also succeeded, but the first one will report.
% 0.12/0.39 % (5627)Refutation found. Thanks to Tanya!
% 0.12/0.39 % SZS status Theorem for theBenchmark
% 0.12/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.39 % (5627)------------------------------
% 0.12/0.39 % (5627)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.39 % (5627)Termination reason: Refutation
% 0.12/0.39
% 0.12/0.39 % (5627)Memory used [KB]: 2733
% 0.12/0.39 % (5627)Time elapsed: 0.020 s
% 0.12/0.39 % (5627)Instructions burned: 44 (million)
% 0.12/0.39 % (5627)------------------------------
% 0.12/0.39 % (5627)------------------------------
% 0.12/0.39 % (5622)Success in time 0.052 s
%------------------------------------------------------------------------------