TSTP Solution File: CSR027+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR027+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 04:56:54 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 54 ( 8 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 120 ( 50 ~; 46 |; 8 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 44 ( 41 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f438,plain,
$false,
inference(avatar_sat_refutation,[],[f299,f315,f316,f342,f378,f434,f437]) ).
fof(f437,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| spl0_15 ),
inference(resolution,[],[f377,f234]) ).
fof(f234,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f377,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| spl0_15 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f375,plain,
( spl0_15
<=> isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f434,plain,
( ~ spl0_5
| ~ spl0_15
| spl0_14 ),
inference(avatar_split_clause,[],[f380,f371,f375,f296]) ).
fof(f296,plain,
( spl0_5
<=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f371,plain,
( spl0_14
<=> tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f380,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| spl0_14 ),
inference(resolution,[],[f373,f319]) ).
fof(f319,plain,
! [X2,X0,X1] :
( tptpcol_16_31868(f_relationallexistsfn(X2,X0,X1,c_tptpcol_16_31868))
| ~ isa(X2,X1)
| ~ relationallexists(X0,X1,c_tptpcol_16_31868) ),
inference(resolution,[],[f268,f246]) ).
fof(f246,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_31868)
| tptpcol_16_31868(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( tptpcol_16_31868(X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( isa(X0,c_tptpcol_16_31868)
=> tptpcol_16_31868(X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X12] :
( isa(X12,c_tptpcol_16_31868)
=> tptpcol_16_31868(X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( relationallexists(X2,X1,X3)
& isa(X0,X1) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f373,plain,
( ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| spl0_14 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f378,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f347,f340,f375,f371]) ).
fof(f340,plain,
( spl0_9
<=> ! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f347,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ spl0_9 ),
inference(resolution,[],[f341,f221]) ).
fof(f221,plain,
! [X0] :
( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
| ~ tptpcol_16_31868(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( ~ tptpcol_16_31868(X0)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) )
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
~ ? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X0)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,negated_conjecture,
~ ? [X12] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X12)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X12) ) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
? [X12] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X12)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).
fof(f341,plain,
( ! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f342,plain,
( ~ spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f250,f340,f292]) ).
fof(f292,plain,
( spl0_4
<=> mtvisible(c_tptp_member2610_mt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f250,plain,
! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
& mtvisible(c_tptp_member2610_mt) )
=> tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f316,plain,
( ~ spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f275,f292,f306]) ).
fof(f306,plain,
( spl0_7
<=> mtvisible(c_tptp_spindlecollectormt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f275,plain,
( mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[],[f261,f233]) ).
fof(f233,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f261,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| mtvisible(X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X18,X19] :
( ( genlmt(X18,X19)
& mtvisible(X18) )
=> mtvisible(X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
fof(f315,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f314,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f308,f220]) ).
fof(f220,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f177]) ).
fof(f308,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_7 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f299,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f235,f296,f292]) ).
fof(f235,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
( mtvisible(c_tptp_member2610_mt)
=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR027+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n028.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 20:13:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (24463)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (24465)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (24467)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (24466)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)
% 0.15/0.37 % (24468)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (24464)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (24469)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (24470)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.37 Detected maximum model sizes of [max,1,max,9,1,1,1,max,max,max,max,max,max,max]
% 0.15/0.37 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,1,max,9,1,1,1,max,max,max,max,max,max,max]
% 0.15/0.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1,1,2,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 TRYING [1,1,2,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 % (24466)First to succeed.
% 0.15/0.38 % (24468)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1,1,3,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 TRYING [1,1,3,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 % (24469)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1,1,2,2,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 TRYING [1,1,2,2,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 % (24466)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24463"
% 0.15/0.38 TRYING [2,1,3,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 TRYING [2,1,3,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38 % (24466)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (24466)------------------------------
% 0.15/0.38 % (24466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (24466)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (24466)Memory used [KB]: 957
% 0.15/0.38 % (24466)Time elapsed: 0.007 s
% 0.15/0.38 % (24466)Instructions burned: 8 (million)
% 0.15/0.38 % (24463)Success in time 0.012 s
%------------------------------------------------------------------------------