TSTP Solution File: CSR027+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : CSR027+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 30 18:57:25 EDT 2023
% Result : Theorem 0.22s 0.61s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 60
% Syntax : Number of formulae : 83 ( 9 unt; 52 typ; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 26 ~; 21 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 49 ( 29 >; 20 *; 0 +; 0 <<)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 23 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn; 17 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
isa: ( $i * $i ) > $o ).
tff(decl_23,type,
relationallexists: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
f_relationallexistsfn: ( $i * $i * $i * $i ) > $i ).
tff(decl_25,type,
c_relationallexistsfn: $i ).
tff(decl_26,type,
n_4: $i ).
tff(decl_27,type,
resultisaarg: ( $i * $i ) > $o ).
tff(decl_28,type,
c_calendarsmt: $i ).
tff(decl_29,type,
c_calendarsvocabularymt: $i ).
tff(decl_30,type,
genlmt: ( $i * $i ) > $o ).
tff(decl_31,type,
c_genlmt: $i ).
tff(decl_32,type,
transitivebinarypredicate: $i > $o ).
tff(decl_33,type,
c_basekb: $i ).
tff(decl_34,type,
c_universalvocabularymt: $i ).
tff(decl_35,type,
c_cyclistsmt: $i ).
tff(decl_36,type,
c_tptp_spindleheadmt: $i ).
tff(decl_37,type,
c_tptp_spindlecollectormt: $i ).
tff(decl_38,type,
c_tptp_member2610_mt: $i ).
tff(decl_39,type,
c_tptp_member3993_mt: $i ).
tff(decl_40,type,
mtvisible: $i > $o ).
tff(decl_41,type,
c_unitvectorinterval: $i ).
tff(decl_42,type,
c_directionoftranslation_throughout: $i ).
tff(decl_43,type,
c_movement_translationevent: $i ).
tff(decl_44,type,
f_subcollectionofwithrelationfromtypefn: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
c_tptp_8_875: $i ).
tff(decl_46,type,
c_tptpcol_16_31868: $i ).
tff(decl_47,type,
tptp_8_875: ( $i * $i ) > $o ).
tff(decl_48,type,
c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786: $i ).
tff(decl_49,type,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent: $i > $o ).
tff(decl_50,type,
disjointwith: ( $i * $i ) > $o ).
tff(decl_51,type,
genlinverse: ( $i * $i ) > $o ).
tff(decl_52,type,
genlpreds: ( $i * $i ) > $o ).
tff(decl_53,type,
predicate: $i > $o ).
tff(decl_54,type,
binarypredicate: $i > $o ).
tff(decl_55,type,
collection: $i > $o ).
tff(decl_56,type,
genls: ( $i * $i ) > $o ).
tff(decl_57,type,
tptpcol_16_31868: $i > $o ).
tff(decl_58,type,
movement_translationevent: $i > $o ).
tff(decl_59,type,
directionoftranslation_throughout: ( $i * $i ) > $o ).
tff(decl_60,type,
unitvectorinterval: $i > $o ).
tff(decl_61,type,
subevents: ( $i * $i ) > $o ).
tff(decl_62,type,
c_subcollectionofwithrelationfromtypefn: $i ).
tff(decl_63,type,
natfunction: ( $i * $i ) > $o ).
tff(decl_64,type,
n_1: $i ).
tff(decl_65,type,
natargument: ( $i * $i * $i ) > $o ).
tff(decl_66,type,
n_2: $i ).
tff(decl_67,type,
n_3: $i ).
tff(decl_68,type,
tptpcol_4_24578: $i > $o ).
tff(decl_69,type,
c_transitivebinarypredicate: $i ).
tff(decl_70,type,
thing: $i > $o ).
tff(decl_71,type,
microtheory: $i > $o ).
tff(decl_72,type,
positiveinteger: $i > $o ).
tff(decl_73,type,
function_denotational: $i > $o ).
fof(query27,conjecture,
? [X13] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X13)
& tptpcol_16_31868(X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).
fof(just63,axiom,
! [X19,X20] :
( ( mtvisible(X19)
& genlmt(X19,X20) )
=> mtvisible(X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
fof(just34,axiom,
! [X13] :
( isa(X13,c_tptpcol_16_31868)
=> tptpcol_16_31868(X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(just12,axiom,
! [X1] :
( ( mtvisible(c_tptp_member2610_mt)
& isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
=> tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(just9,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(just13,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/sandbox/benchmark/theBenchmark.p',just13) ).
fof(just1,axiom,
! [X1,X2,X3,X4] :
( ( isa(X1,X2)
& relationallexists(X3,X2,X4) )
=> isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(just14,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
fof(c_0_8,negated_conjecture,
~ ? [X13] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X13)
& tptpcol_16_31868(X13) ) ),
inference(assume_negation,[status(cth)],[query27]) ).
fof(c_0_9,plain,
! [X124,X125] :
( ~ mtvisible(X124)
| ~ genlmt(X124,X125)
| mtvisible(X125) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just63])]) ).
fof(c_0_10,negated_conjecture,
! [X167] :
( mtvisible(c_tptp_spindlecollectormt)
& ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X167)
| ~ tptpcol_16_31868(X167) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_11,plain,
! [X68] :
( ~ isa(X68,c_tptpcol_16_31868)
| tptpcol_16_31868(X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])]) ).
fof(c_0_12,plain,
! [X26] :
( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(X26,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(X26,f_relationallexistsfn(X26,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just12])]) ).
cnf(c_0_13,plain,
( mtvisible(X2)
| ~ mtvisible(X1)
| ~ genlmt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(split_conjunct,[status(thm)],[just9]) ).
cnf(c_0_15,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,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(fof_nnf,[status(thm)],[just13]) ).
cnf(c_0_17,negated_conjecture,
( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
| ~ tptpcol_16_31868(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( tptpcol_16_31868(X1)
| ~ isa(X1,c_tptpcol_16_31868) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
mtvisible(c_tptp_member2610_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
fof(c_0_21,plain,
! [X22,X23,X24,X25] :
( ~ isa(X22,X23)
| ~ relationallexists(X24,X23,X25)
| isa(f_relationallexistsfn(X22,X24,X23,X25),X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just1])]) ).
cnf(c_0_22,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(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
| ~ isa(X1,c_tptpcol_16_31868) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_25,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(split_conjunct,[status(thm)],[just14]) ).
cnf(c_0_26,plain,
( isa(f_relationallexistsfn(X1,X3,X2,X4),X4)
| ~ isa(X1,X2)
| ~ relationallexists(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_20])]) ).
cnf(c_0_28,negated_conjecture,
~ isa(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),c_tptpcol_16_31868),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_29,plain,
( isa(f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR027+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 10:02:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 0.22/0.61 % Version : CSE_E---1.5
% 0.22/0.61 % Problem : theBenchmark.p
% 0.22/0.61 % Proof found
% 0.22/0.61 % SZS status Theorem for theBenchmark.p
% 0.22/0.61 % SZS output start Proof
% See solution above
% 0.22/0.61 % Total time : 0.016000 s
% 0.22/0.61 % SZS output end Proof
% 0.22/0.61 % Total time : 0.019000 s
%------------------------------------------------------------------------------