%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM281_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:11:51 PM UTC 2026
% Result : Theorem 0.43s 0.60s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 22 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 42 ( 18 ~; 14 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 79 ( 0 sgn 77 !; 2 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
vTable: $tType ).
tff(decl_sort2,type,
vAttrL: $tType ).
tff(decl_sort3,type,
vTType: $tType ).
tff(decl_sort4,type,
vRawTable: $tType ).
tff(decl_sort5,type,
vPred: $tType ).
tff(decl_62,type,
vtable: ( vRawTable * vAttrL ) > vTable ).
tff(decl_64,type,
vmatchingAttrL: ( vAttrL * vTType ) > $o ).
tff(decl_71,type,
vgetRaw: vTable > vRawTable ).
tff(decl_78,type,
vwelltypedRawtable: ( vRawTable * vTType ) > $o ).
tff(decl_82,type,
vwelltypedtable: ( vTable * vTType ) > $o ).
tff(decl_87,type,
vfilterTable: ( vPred * vTable ) > vTable ).
tff(decl_89,type,
vgetAttrL: vTable > vAttrL ).
tff(decl_102,type,
vfilterRows: ( vPred * ( vAttrL * vRawTable ) ) > vRawTable ).
tff(decl_128,type,
esk1_0: vTType ).
tff(decl_129,type,
esk2_0: vTable ).
tff(decl_130,type,
esk3_0: vPred ).
tff(decl_257,type,
esk130_1: vTable > vAttrL ).
tff(decl_258,type,
esk131_1: vTable > vRawTable ).
tff('getRaw-INV',axiom,
! [X5: vTable] :
? [X66: vAttrL,X67: vRawTable] :
( ( vgetRaw(X5) = X67 )
& ( X5 = vtable(X66,X67) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getRaw-INV') ).
tff('getAttrL-0',axiom,
! [X68: vAttrL,X69: vRawTable] : ( vgetAttrL(vtable(X68,X69)) = X68 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getAttrL-0') ).
tff('getRaw-0',axiom,
! [X65: vAttrL,X52: vRawTable] : ( vgetRaw(vtable(X65,X52)) = X52 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getRaw-0') ).
tff('filterTable-0',axiom,
! [X68: vAttrL,X52: vRawTable,X287: vPred] : ( vfilterTable(vtable(X68,X52),X287) = vtable(X68,vfilterRows(X52,X68,X287)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','filterTable-0') ).
tff('welltypedtable-0',axiom,
! [X54: vTType,X68: vAttrL,X101: vRawTable] :
( vwelltypedtable(X54,vtable(X68,X101))
<=> ( vwelltypedRawtable(X54,X101)
& vmatchingAttrL(X54,X68) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','welltypedtable-0') ).
tff(filterPreservesType,conjecture,
! [X54: vTType,X53: vTable,X287: vPred] :
( vwelltypedtable(X54,X53)
=> vwelltypedtable(X54,vfilterTable(X53,X287)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filterPreservesType) ).
tff(filterRowsPreservesTable,axiom,
! [X54: vTType,X52: vRawTable,X68: vAttrL,X287: vPred] :
( vwelltypedRawtable(X54,X52)
=> vwelltypedRawtable(X54,vfilterRows(X52,X68,X287)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filterRowsPreservesTable) ).
tff(c_0_7,plain,
! [X850: vTable] :
( ( vgetRaw(X850) = esk131_1(X850) )
& ( X850 = vtable(esk130_1(X850),esk131_1(X850)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['getRaw-INV'])]) ).
tff(c_0_8,plain,
! [X859: vAttrL,X860: vRawTable] : ( vgetAttrL(vtable(X859,X860)) = X859 ),
inference(variable_rename,[status(thm)],['getAttrL-0']) ).
tcf(c_0_9,plain,
! [X5: vTable] : X5 = vtable(esk130_1(X5),esk131_1(X5)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_10,plain,
! [X5: vTable] : vgetRaw(X5) = esk131_1(X5),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
! [X27: vRawTable,X2: vAttrL] : vgetAttrL(vtable(X2,X27)) = X2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_12,plain,
! [X5: vTable] : vtable(esk130_1(X5),vgetRaw(X5)) = X5,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
tff(c_0_13,plain,
! [X848: vAttrL,X849: vRawTable] : ( vgetRaw(vtable(X848,X849)) = X849 ),
inference(variable_rename,[status(thm)],['getRaw-0']) ).
tff(c_0_14,plain,
! [X482: vAttrL,X483: vRawTable,X484: vPred] : ( vfilterTable(vtable(X482,X483),X484) = vtable(X482,vfilterRows(X483,X482,X484)) ),
inference(variable_rename,[status(thm)],['filterTable-0']) ).
tff(c_0_15,plain,
! [X463: vTType,X464: vAttrL,X465: vRawTable] :
( ( vwelltypedtable(X463,vtable(X464,X465))
| ~ vwelltypedRawtable(X463,X465)
| ~ vmatchingAttrL(X463,X464) )
& ( ~ vwelltypedtable(X463,vtable(X464,X465))
| vwelltypedRawtable(X463,X465) )
& ( ~ vwelltypedtable(X463,vtable(X464,X465))
| vmatchingAttrL(X463,X464) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['welltypedtable-0'])])])]) ).
tcf(c_0_16,plain,
! [X5: vTable] : esk130_1(X5) = vgetAttrL(X5),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
tff(c_0_17,negated_conjecture,
~ ! [X54: vTType,X53: vTable,X287: vPred] :
( vwelltypedtable(X54,X53)
=> vwelltypedtable(X54,vfilterTable(X53,X287)) ),
inference(assume_negation,[status(cth)],[filterPreservesType]) ).
tcf(c_0_18,plain,
! [X2: vAttrL,X27: vRawTable] : vgetRaw(vtable(X2,X27)) = X27,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tcf(c_0_19,plain,
! [X2: vAttrL,X27: vRawTable,X8: vPred] : vfilterTable(vtable(X2,X27),X8) = vtable(X2,vfilterRows(X27,X2,X8)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
tcf(c_0_20,plain,
! [X2: vAttrL,X18: vTType,X27: vRawTable] :
( ~ vwelltypedtable(X18,vtable(X2,X27))
| vmatchingAttrL(X18,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_21,plain,
! [X5: vTable] : vtable(vgetAttrL(X5),vgetRaw(X5)) = X5,
inference(rw,[status(thm)],[c_0_12,c_0_16]) ).
tff(c_0_22,negated_conjecture,
( ~ vwelltypedtable(esk1_0,vfilterTable(esk2_0,esk3_0))
& vwelltypedtable(esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
tcf(c_0_23,plain,
! [X2: vAttrL,X18: vTType,X27: vRawTable] :
( ~ vwelltypedRawtable(X18,X27)
| ~ vmatchingAttrL(X18,X2)
| vwelltypedtable(X18,vtable(X2,X27)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_24,plain,
! [X2: vAttrL,X27: vRawTable,X8: vPred] : vgetRaw(vfilterTable(vtable(X2,X27),X8)) = vfilterRows(X27,X2,X8),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
tcf(c_0_25,plain,
! [X27: vRawTable,X8: vPred,X2: vAttrL] : vgetAttrL(vfilterTable(vtable(X2,X27),X8)) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
tcf(c_0_26,plain,
! [X18: vTType,X5: vTable] :
( ~ vwelltypedtable(X18,X5)
| vmatchingAttrL(X18,vgetAttrL(X5)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
tcf(c_0_27,negated_conjecture,
vwelltypedtable(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
tcf(c_0_28,plain,
! [X2: vAttrL,X18: vTType,X27: vRawTable] :
( ~ vwelltypedtable(X18,vtable(X2,X27))
| vwelltypedRawtable(X18,X27) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_29,negated_conjecture,
~ vwelltypedtable(esk1_0,vfilterTable(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
tcf(c_0_30,plain,
! [X18: vTType,X5: vTable] :
( ~ vmatchingAttrL(X18,vgetAttrL(X5))
| ~ vwelltypedRawtable(X18,vgetRaw(X5))
| vwelltypedtable(X18,X5) ),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
tcf(c_0_31,plain,
! [X5: vTable,X8: vPred] : vgetRaw(vfilterTable(X5,X8)) = vfilterRows(vgetRaw(X5),vgetAttrL(X5),X8),
inference(spm,[status(thm)],[c_0_24,c_0_21]) ).
tcf(c_0_32,plain,
! [X8: vPred,X5: vTable] : vgetAttrL(vfilterTable(X5,X8)) = vgetAttrL(X5),
inference(spm,[status(thm)],[c_0_25,c_0_21]) ).
tcf(c_0_33,negated_conjecture,
vmatchingAttrL(esk1_0,vgetAttrL(esk2_0)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
tff(c_0_34,plain,
! [X523: vTType,X524: vRawTable,X525: vAttrL,X526: vPred] :
( vwelltypedRawtable(X523,vfilterRows(X524,X525,X526))
| ~ vwelltypedRawtable(X523,X524) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[filterRowsPreservesTable])])]) ).
tcf(c_0_35,plain,
! [X18: vTType,X5: vTable] :
( ~ vwelltypedtable(X18,X5)
| vwelltypedRawtable(X18,vgetRaw(X5)) ),
inference(spm,[status(thm)],[c_0_28,c_0_21]) ).
tcf(c_0_36,negated_conjecture,
~ vwelltypedRawtable(esk1_0,vfilterRows(vgetRaw(esk2_0),vgetAttrL(esk2_0),esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_33])]) ).
tcf(c_0_37,plain,
! [X2: vAttrL,X8: vPred,X18: vTType,X27: vRawTable] :
( ~ vwelltypedRawtable(X18,X27)
| vwelltypedRawtable(X18,vfilterRows(X27,X2,X8)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
tcf(c_0_38,negated_conjecture,
vwelltypedRawtable(esk1_0,vgetRaw(esk2_0)),
inference(spm,[status(thm)],[c_0_35,c_0_27]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM281_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 14:23:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.60 % Version: 3.5.1
% 0.43/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.43/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.43/0.60 % Starting sh5l with 300s (1) cores
% 0.43/0.60 % new_bool_1 with pid 3165657 completed with status 0
% 0.43/0.60 % Result found by new_bool_1
% 0.43/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.43/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.43/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.43/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.43/0.60 % Search class: FGHSM-SMLS32-DFFFFFNN
% 0.43/0.60 % partial match(1): FGHSM-SMLM32-DFFFFFNN
% 0.43/0.60 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.43/0.60 % Starting SubtermCWHack with 28s (1) cores
% 0.43/0.60 % SubtermCWHack with pid 3165660 completed with status 0
% 0.43/0.60 % Result found by SubtermCWHack
% 0.43/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.43/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.43/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.43/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.43/0.60 % Search class: FGHSM-SMLS32-DFFFFFNN
% 0.43/0.60 % partial match(1): FGHSM-SMLM32-DFFFFFNN
% 0.43/0.60 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.43/0.60 % Starting SubtermCWHack with 28s (1) cores
% 0.43/0.60 % Preprocessing time : 0.025 s
% 0.43/0.60
% 0.43/0.60 % Proof found!
% 0.43/0.60 % SZS status Theorem
% 0.43/0.60 % SZS output start CNFRefutation
% See solution above
% 0.43/0.60 % Parsed axioms : 409
% 0.43/0.60 % Removed by relevancy pruning/SinE : 256
% 0.43/0.60 % Initial clauses : 1475
% 0.43/0.60 % Removed in clause preprocessing : 0
% 0.43/0.60 % Initial clauses in saturation : 1475
% 0.43/0.60 % Processed clauses : 527
% 0.43/0.60 % ...of these trivial : 23
% 0.43/0.60 % ...subsumed : 172
% 0.43/0.60 % ...remaining for further processing : 332
% 0.43/0.60 % Other redundant clauses eliminated : 150
% 0.43/0.60 % Clauses deleted for lack of memory : 0
% 0.43/0.60 % Backward-subsumed : 2
% 0.43/0.60 % Backward-rewritten : 10
% 0.43/0.60 % Generated clauses : 1055
% 0.43/0.60 % ...of the previous two non-redundant : 700
% 0.43/0.60 % ...aggressively subsumed : 0
% 0.43/0.60 % Contextual simplify-reflections : 0
% 0.43/0.60 % Paramodulations : 877
% 0.43/0.60 % Factorizations : 0
% 0.43/0.60 % NegExts : 0
% 0.43/0.60 % Equation resolutions : 178
% 0.43/0.60 % Disequality decompositions : 0
% 0.43/0.60 % Total rewrite steps : 305
% 0.43/0.60 % ...of those cached : 233
% 0.43/0.60 % Propositional unsat checks : 0
% 0.43/0.60 % Propositional check models : 0
% 0.43/0.60 % Propositional check unsatisfiable : 0
% 0.43/0.60 % Propositional clauses : 0
% 0.43/0.60 % Propositional clauses after purity: 0
% 0.43/0.60 % Propositional unsat core size : 0
% 0.43/0.60 % Propositional preprocessing time : 0.000
% 0.43/0.60 % Propositional encoding time : 0.000
% 0.43/0.60 % Propositional solver time : 0.000
% 0.43/0.60 % Success case prop preproc time : 0.000
% 0.43/0.60 % Success case prop encoding time : 0.000
% 0.43/0.60 % Success case prop solver time : 0.000
% 0.43/0.60 % Current number of processed clauses : 319
% 0.43/0.60 % Positive orientable unit clauses : 68
% 0.43/0.60 % Positive unorientable unit clauses: 4
% 0.43/0.60 % Negative unit clauses : 24
% 0.43/0.60 % Non-unit-clauses : 223
% 0.43/0.60 % Current number of unprocessed clauses: 1631
% 0.43/0.60 % ...number of literals in the above : 6100
% 0.43/0.60 % Current number of archived formulas : 0
% 0.43/0.60 % Current number of archived clauses : 12
% 0.43/0.60 % Clause-clause subsumption calls (NU) : 11160
% 0.43/0.60 % Rec. Clause-clause subsumption calls : 10064
% 0.43/0.60 % Non-unit clause-clause subsumptions : 156
% 0.43/0.60 % Unit Clause-clause subsumption calls : 764
% 0.43/0.60 % Rewrite failures with RHS unbound : 16
% 0.43/0.60 % BW rewrite match attempts : 12
% 0.43/0.60 % BW rewrite match successes : 12
% 0.43/0.60 % Condensation attempts : 0
% 0.43/0.60 % Condensation successes : 0
% 0.43/0.60 % Termbank termtop insertions : 67514
% 0.43/0.60 % Search garbage collected termcells : 12481
% 0.43/0.60
% 0.43/0.60 % -------------------------------------------------
% 0.43/0.60 % User time : 0.127 s
% 0.43/0.60 % System time : 0.018 s
% 0.43/0.60 % Total time : 0.145 s
% 0.43/0.60 % Maximum resident set size: 7248 pages
% 0.43/0.60
% 0.43/0.60 % -------------------------------------------------
% 0.43/0.60 % User time : 0.140 s
% 0.43/0.60 % System time : 0.025 s
% 0.43/0.60 % Total time : 0.166 s
% 0.43/0.60 % Maximum resident set size: 5632 pages
% 0.43/0.60 % E exiting
%------------------------------------------------------------------------------