TSTP Solution File: CSR027+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CSR027+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n008.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 : Wed Aug 31 15:54:14 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 56 ( 8 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 126 ( 52 ~; 48 |; 9 &)
% ( 6 <=>; 11 =>; 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 : 52 ( 49 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f609,plain,
$false,
inference(avatar_sat_refutation,[],[f289,f293,f339,f352,f363,f365,f608]) ).
fof(f608,plain,
( ~ spl0_1
| ~ spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f607,f360,f356,f282]) ).
fof(f282,plain,
( spl0_1
<=> 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_1])]) ).
fof(f356,plain,
( spl0_12
<=> isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f360,plain,
( spl0_13
<=> 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_13])]) ).
fof(f607,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_13 ),
inference(resolution,[],[f423,f362]) ).
fof(f362,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_13 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f423,plain,
! [X14,X12,X13] :
( tptpcol_16_31868(f_relationallexistsfn(X14,X12,X13,c_tptpcol_16_31868))
| ~ relationallexists(X12,X13,c_tptpcol_16_31868)
| ~ isa(X14,X13) ),
inference(resolution,[],[f247,f252]) ).
fof(f252,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_31868)
| tptpcol_16_31868(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( tptpcol_16_31868(X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(ennf_transformation,[],[f126]) ).
fof(f126,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(f247,plain,
! [X2,X3,X0,X1] :
( isa(f_relationallexistsfn(X1,X0,X2,X3),X3)
| ~ relationallexists(X0,X2,X3)
| ~ isa(X1,X2) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( ~ isa(X1,X2)
| ~ relationallexists(X0,X2,X3)
| isa(f_relationallexistsfn(X1,X0,X2,X3),X3) ),
inference(rectify,[],[f213]) ).
fof(f213,plain,
! [X2,X1,X0,X3] :
( ~ isa(X1,X0)
| ~ relationallexists(X2,X0,X3)
| isa(f_relationallexistsfn(X1,X2,X0,X3),X3) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X2,X0,X3,X1] :
( isa(f_relationallexistsfn(X1,X2,X0,X3),X3)
| ~ relationallexists(X2,X0,X3)
| ~ isa(X1,X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X2,X0,X3,X1] :
( ( relationallexists(X2,X0,X3)
& isa(X1,X0) )
=> isa(f_relationallexistsfn(X1,X2,X0,X3),X3) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0,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(f365,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f358,f258]) ).
fof(f258,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(f358,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| spl0_12 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f363,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f353,f291,f360,f356]) ).
fof(f291,plain,
( spl0_3
<=> ! [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_3])]) ).
fof(f353,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))
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ spl0_3 ),
inference(resolution,[],[f292,f264]) ).
fof(f264,plain,
! [X0] :
( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
| ~ tptpcol_16_31868(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( mtvisible(c_tptp_spindlecollectormt)
& ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
| ~ tptpcol_16_31868(X0) ) ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
~ ? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
& tptpcol_16_31868(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,negated_conjecture,
~ ? [X12] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X12)
& tptpcol_16_31868(X12) ) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
? [X12] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X12)
& tptpcol_16_31868(X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).
fof(f292,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_3 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f352,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f351,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f337,f265]) ).
fof(f265,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f190]) ).
fof(f337,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| spl0_9 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl0_9
<=> mtvisible(c_tptp_spindlecollectormt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f339,plain,
( ~ spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f308,f286,f335]) ).
fof(f286,plain,
( spl0_2
<=> mtvisible(c_tptp_member2610_mt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f308,plain,
( mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[],[f234,f244]) ).
fof(f244,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(f234,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| mtvisible(X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X18,X19] :
( ( mtvisible(X18)
& genlmt(X18,X19) )
=> mtvisible(X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
fof(f293,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f259,f291,f286]) ).
fof(f259,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,[],[f197]) ).
fof(f197,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,[],[f196]) ).
fof(f196,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))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( mtvisible(c_tptp_member2610_mt)
& isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
=> 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(f289,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f251,f286,f282]) ).
fof(f251,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,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
% 0.06/0.12 % Problem : CSR027+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 29 17:46:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (13881)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.48 % (13865)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.48 % (13865)Refutation not found, incomplete strategy% (13865)------------------------------
% 0.20/0.48 % (13865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (13881)First to succeed.
% 0.20/0.49 % (13865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (13865)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (13865)Memory used [KB]: 5884
% 0.20/0.49 % (13865)Time elapsed: 0.039 s
% 0.20/0.49 % (13865)Instructions burned: 1 (million)
% 0.20/0.49 % (13865)------------------------------
% 0.20/0.49 % (13865)------------------------------
% 0.20/0.49 % (13881)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (13881)------------------------------
% 0.20/0.49 % (13881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (13881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (13881)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (13881)Memory used [KB]: 6140
% 0.20/0.49 % (13881)Time elapsed: 0.036 s
% 0.20/0.49 % (13881)Instructions burned: 5 (million)
% 0.20/0.49 % (13881)------------------------------
% 0.20/0.49 % (13881)------------------------------
% 0.20/0.49 % (13858)Success in time 0.144 s
%------------------------------------------------------------------------------