TSTP Solution File: CSR044+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : CSR044+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 : n016.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 19:31:10 EDT 2023
% Result : Theorem 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 52
% Syntax : Number of formulae : 80 ( 13 unt; 42 typ; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 28 ~; 23 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 24 >; 16 *; 0 +; 0 <<)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-4 aty)
% Number of variables : 34 ( 0 sgn; 19 !; 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_member3633_mt: $i ).
tff(decl_38,type,
mtvisible: $i > $o ).
tff(decl_39,type,
executionbyfiringsquad: $i > $o ).
tff(decl_40,type,
c_tptp_9_720: $i ).
tff(decl_41,type,
c_executionbyfiringsquad: $i ).
tff(decl_42,type,
c_tptpcol_16_29490: $i ).
tff(decl_43,type,
tptp_9_720: ( $i * $i ) > $o ).
tff(decl_44,type,
c_tptpexecutionbyfiringsquad_90: $i ).
tff(decl_45,type,
disjointwith: ( $i * $i ) > $o ).
tff(decl_46,type,
genlinverse: ( $i * $i ) > $o ).
tff(decl_47,type,
genlpreds: ( $i * $i ) > $o ).
tff(decl_48,type,
predicate: $i > $o ).
tff(decl_49,type,
binarypredicate: $i > $o ).
tff(decl_50,type,
collection: $i > $o ).
tff(decl_51,type,
genls: ( $i * $i ) > $o ).
tff(decl_52,type,
tptpcol_16_29490: $i > $o ).
tff(decl_53,type,
tptpcol_5_28674: $i > $o ).
tff(decl_54,type,
c_transitivebinarypredicate: $i ).
tff(decl_55,type,
thing: $i > $o ).
tff(decl_56,type,
microtheory: $i > $o ).
tff(decl_57,type,
natfunction: ( $i * $i ) > $o ).
tff(decl_58,type,
n_1: $i ).
tff(decl_59,type,
natargument: ( $i * $i * $i ) > $o ).
tff(decl_60,type,
n_2: $i ).
tff(decl_61,type,
n_3: $i ).
tff(decl_62,type,
positiveinteger: $i > $o ).
tff(decl_63,type,
function_denotational: $i > $o ).
fof(query44,conjecture,
? [X13] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13)
& tptpcol_16_29490(X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query44) ).
fof(just48,axiom,
! [X19,X20] :
( ( mtvisible(X19)
& genlmt(X19,X20) )
=> mtvisible(X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
fof(just9,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(just31,axiom,
! [X13] :
( isa(X13,c_tptpcol_16_29490)
=> tptpcol_16_29490(X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(just10,axiom,
! [X1] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(X1) )
=> tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
fof(just8,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(just11,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
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(just34,axiom,
! [X13] :
( executionbyfiringsquad(X13)
=> isa(X13,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(just12,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(c_0_10,negated_conjecture,
~ ? [X13] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13)
& tptpcol_16_29490(X13) ) ),
inference(assume_negation,[status(cth)],[query44]) ).
fof(c_0_11,plain,
! [X98,X99] :
( ~ mtvisible(X98)
| ~ genlmt(X98,X99)
| mtvisible(X99) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just48])]) ).
fof(c_0_12,negated_conjecture,
! [X141] :
( mtvisible(c_tptp_member3633_mt)
& ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X141)
| ~ tptpcol_16_29490(X141) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_13,plain,
( mtvisible(X2)
| ~ mtvisible(X1)
| ~ genlmt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[just9]) ).
cnf(c_0_15,negated_conjecture,
mtvisible(c_tptp_member3633_mt),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X68] :
( ~ isa(X68,c_tptpcol_16_29490)
| tptpcol_16_29490(X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just31])]) ).
fof(c_0_17,plain,
! [X26] :
( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X26)
| tptp_9_720(X26,f_relationallexistsfn(X26,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just10])]) ).
cnf(c_0_18,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(split_conjunct,[status(thm)],[just8]) ).
cnf(c_0_19,plain,
mtvisible(c_tptp_spindleheadmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
fof(c_0_20,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(fof_nnf,[status(thm)],[just11]) ).
cnf(c_0_21,negated_conjecture,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
| ~ tptpcol_16_29490(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( tptpcol_16_29490(X1)
| ~ isa(X1,c_tptpcol_16_29490) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
mtvisible(c_cyclistsmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_19])]) ).
fof(c_0_25,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_26,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X71] :
( ~ executionbyfiringsquad(X71)
| isa(X71,c_executionbyfiringsquad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])]) ).
cnf(c_0_28,negated_conjecture,
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
| ~ isa(X1,c_tptpcol_16_29490) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
cnf(c_0_30,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(split_conjunct,[status(thm)],[just12]) ).
cnf(c_0_31,plain,
( isa(f_relationallexistsfn(X1,X3,X2,X4),X4)
| ~ isa(X1,X2)
| ~ relationallexists(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_24])]) ).
cnf(c_0_33,plain,
( isa(X1,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_35,plain,
( isa(f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ isa(X1,c_executionbyfiringsquad) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 09:13:29 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.012000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.016000 s
%------------------------------------------------------------------------------