TSTP Solution File: CSR044+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n017.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 Aug 22 10:35:51 EDT 2023
% Result : Theorem 5.80s 2.37s
% Output : CNFRefutation 5.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 52
% Syntax : Number of formulae : 79 ( 17 unt; 42 typ; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 17 |; 4 &)
% ( 0 <=>; 7 =>; 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 : 24 (; 23 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relationallexists > natargument > tptp_9_720 > resultisaarg > natfunction > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > tptpcol_5_28674 > tptpcol_16_29490 > thing > predicate > positiveinteger > mtvisible > microtheory > function_denotational > executionbyfiringsquad > collection > binarypredicate > f_relationallexistsfn > #nlpp > n_4 > n_3 > n_2 > n_1 > c_universalvocabularymt > c_transitivebinarypredicate > c_tptpexecutionbyfiringsquad_90 > c_tptpcol_16_29490 > c_tptp_spindleheadmt > c_tptp_member3633_mt > c_tptp_9_720 > c_relationallexistsfn > c_genlmt > c_executionbyfiringsquad > c_cyclistsmt > c_calendarsvocabularymt > c_calendarsmt > c_basekb
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(mtvisible,type,
mtvisible: $i > $o ).
tff(microtheory,type,
microtheory: $i > $o ).
tff(genls,type,
genls: ( $i * $i ) > $o ).
tff(genlpreds,type,
genlpreds: ( $i * $i ) > $o ).
tff(collection,type,
collection: $i > $o ).
tff(n_4,type,
n_4: $i ).
tff(c_tptpcol_16_29490,type,
c_tptpcol_16_29490: $i ).
tff(function_denotational,type,
function_denotational: $i > $o ).
tff(binarypredicate,type,
binarypredicate: $i > $o ).
tff(c_calendarsmt,type,
c_calendarsmt: $i ).
tff(genlmt,type,
genlmt: ( $i * $i ) > $o ).
tff(tptpcol_5_28674,type,
tptpcol_5_28674: $i > $o ).
tff(c_genlmt,type,
c_genlmt: $i ).
tff(isa,type,
isa: ( $i * $i ) > $o ).
tff(c_transitivebinarypredicate,type,
c_transitivebinarypredicate: $i ).
tff(predicate,type,
predicate: $i > $o ).
tff(n_2,type,
n_2: $i ).
tff(relationallexists,type,
relationallexists: ( $i * $i * $i ) > $o ).
tff(c_tptp_9_720,type,
c_tptp_9_720: $i ).
tff(c_cyclistsmt,type,
c_cyclistsmt: $i ).
tff(c_calendarsvocabularymt,type,
c_calendarsvocabularymt: $i ).
tff(disjointwith,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_relationallexistsfn,type,
c_relationallexistsfn: $i ).
tff(tptpcol_16_29490,type,
tptpcol_16_29490: $i > $o ).
tff(thing,type,
thing: $i > $o ).
tff(tptp_9_720,type,
tptp_9_720: ( $i * $i ) > $o ).
tff(natfunction,type,
natfunction: ( $i * $i ) > $o ).
tff(c_tptp_spindleheadmt,type,
c_tptp_spindleheadmt: $i ).
tff(positiveinteger,type,
positiveinteger: $i > $o ).
tff(c_basekb,type,
c_basekb: $i ).
tff(n_1,type,
n_1: $i ).
tff(f_relationallexistsfn,type,
f_relationallexistsfn: ( $i * $i * $i * $i ) > $i ).
tff(natargument,type,
natargument: ( $i * $i * $i ) > $o ).
tff(c_tptp_member3633_mt,type,
c_tptp_member3633_mt: $i ).
tff(c_universalvocabularymt,type,
c_universalvocabularymt: $i ).
tff(transitivebinarypredicate,type,
transitivebinarypredicate: $i > $o ).
tff(n_3,type,
n_3: $i ).
tff(c_tptpexecutionbyfiringsquad_90,type,
c_tptpexecutionbyfiringsquad_90: $i ).
tff(executionbyfiringsquad,type,
executionbyfiringsquad: $i > $o ).
tff(resultisaarg,type,
resultisaarg: ( $i * $i ) > $o ).
tff(c_executionbyfiringsquad,type,
c_executionbyfiringsquad: $i ).
tff(genlinverse,type,
genlinverse: ( $i * $i ) > $o ).
tff(f_67,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
tff(f_177,axiom,
! [X] :
( executionbyfiringsquad(X)
=> isa(X,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
tff(f_301,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X)
& tptpcol_16_29490(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query44) ).
tff(f_55,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
tff(f_240,axiom,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
tff(f_65,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
tff(f_53,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
tff(f_40,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
tff(f_164,axiom,
! [X] :
( isa(X,c_tptpcol_16_29490)
=> tptpcol_16_29490(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
tff(f_62,axiom,
! [TERM] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(TERM) )
=> tptp_9_720(TERM,f_relationallexistsfn(TERM,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
tff(c_24,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_68,plain,
! [X_50] :
( isa(X_50,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X_50) ),
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_130,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_18,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_825,plain,
! [GENLMT_271,SPECMT_272] :
( mtvisible(GENLMT_271)
| ~ genlmt(SPECMT_272,GENLMT_271)
| ~ mtvisible(SPECMT_272) ),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_831,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3633_mt) ),
inference(resolution,[status(thm)],[c_18,c_825]) ).
tff(c_850,plain,
mtvisible(c_tptp_spindleheadmt),
inference(demodulation,[status(thm),theory(equality)],[c_130,c_831]) ).
tff(c_22,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_822,plain,
~ mtvisible(c_cyclistsmt),
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_16,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_834,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[status(thm)],[c_16,c_825]) ).
tff(c_853,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(negUnitSimplification,[status(thm)],[c_822,c_834]) ).
tff(c_863,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_850,c_853]) ).
tff(c_864,plain,
relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_1120,plain,
! [TERM_339,PRED_340,INDEPCOL_341,DEPCOL_342] :
( isa(f_relationallexistsfn(TERM_339,PRED_340,INDEPCOL_341,DEPCOL_342),DEPCOL_342)
| ~ relationallexists(PRED_340,INDEPCOL_341,DEPCOL_342)
| ~ isa(TERM_339,INDEPCOL_341) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_62,plain,
! [X_47] :
( tptpcol_16_29490(X_47)
| ~ isa(X_47,c_tptpcol_16_29490) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_1583,plain,
! [TERM_363,PRED_364,INDEPCOL_365] :
( tptpcol_16_29490(f_relationallexistsfn(TERM_363,PRED_364,INDEPCOL_365,c_tptpcol_16_29490))
| ~ relationallexists(PRED_364,INDEPCOL_365,c_tptpcol_16_29490)
| ~ isa(TERM_363,INDEPCOL_365) ),
inference(resolution,[status(thm)],[c_1120,c_62]) ).
tff(c_865,plain,
mtvisible(c_cyclistsmt),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_20,plain,
! [TERM_5] :
( tptp_9_720(TERM_5,f_relationallexistsfn(TERM_5,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(TERM_5)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_1038,plain,
! [TERM_336] :
( tptp_9_720(TERM_336,f_relationallexistsfn(TERM_336,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(TERM_336) ),
inference(demodulation,[status(thm),theory(equality)],[c_865,c_20]) ).
tff(c_132,plain,
! [X_120] :
( ~ tptpcol_16_29490(X_120)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X_120) ),
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_1048,plain,
( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
inference(resolution,[status(thm)],[c_1038,c_132]) ).
tff(c_1053,plain,
~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_1048]) ).
tff(c_1586,plain,
( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(resolution,[status(thm)],[c_1583,c_1053]) ).
tff(c_1592,plain,
~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(demodulation,[status(thm),theory(equality)],[c_864,c_1586]) ).
tff(c_1597,plain,
~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(resolution,[status(thm)],[c_68,c_1592]) ).
tff(c_1601,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_1597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 20:12:21 EDT 2023
% 0.15/0.36 % CPUTime :
% 5.80/2.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.80/2.39
% 5.80/2.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.80/2.44
% 5.80/2.44 Inference rules
% 5.80/2.44 ----------------------
% 5.80/2.44 #Ref : 0
% 5.80/2.44 #Sup : 283
% 5.80/2.44 #Fact : 0
% 5.80/2.44 #Define : 0
% 5.80/2.44 #Split : 8
% 5.80/2.45 #Chain : 0
% 5.80/2.45 #Close : 0
% 5.80/2.45
% 5.80/2.45 Ordering : KBO
% 5.80/2.45
% 5.80/2.45 Simplification rules
% 5.80/2.45 ----------------------
% 5.80/2.45 #Subsume : 40
% 5.80/2.45 #Demod : 204
% 5.80/2.45 #Tautology : 158
% 5.80/2.45 #SimpNegUnit : 9
% 5.80/2.45 #BackRed : 7
% 5.80/2.45
% 5.80/2.45 #Partial instantiations: 0
% 5.80/2.45 #Strategies tried : 1
% 5.80/2.45
% 5.80/2.45 Timing (in seconds)
% 5.80/2.45 ----------------------
% 5.80/2.45 Preprocessing : 0.57
% 5.80/2.45 Parsing : 0.33
% 5.80/2.45 CNF conversion : 0.04
% 5.80/2.45 Main loop : 0.67
% 5.80/2.45 Inferencing : 0.28
% 5.80/2.45 Reduction : 0.17
% 5.80/2.45 Demodulation : 0.12
% 5.80/2.45 BG Simplification : 0.03
% 5.80/2.45 Subsumption : 0.12
% 5.80/2.45 Abstraction : 0.02
% 5.80/2.45 MUC search : 0.00
% 5.80/2.45 Cooper : 0.00
% 5.80/2.45 Total : 1.33
% 5.80/2.45 Index Insertion : 0.00
% 5.80/2.45 Index Deletion : 0.00
% 5.80/2.45 Index Matching : 0.00
% 5.80/2.45 BG Taut test : 0.00
%------------------------------------------------------------------------------