%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM305_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 : n003.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 12:11:54 PM UTC 2026
% Result : Theorem 0.27s 0.46s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
vName: $tType ).
tff(decl_sort2,type,
vFType: $tType ).
tff(decl_sort3,type,
vTType: $tType ).
tff(decl_sort4,type,
vRawTable: $tType ).
tff(decl_32,type,
vttcons: ( vTType * ( vFType * vName ) ) > vTType ).
tff(decl_33,type,
vtempty: vRawTable ).
tff(decl_48,type,
vttempty: vTType ).
tff(decl_75,type,
vprojectFirstRaw: vRawTable > vRawTable ).
tff(decl_78,type,
vwelltypedRawtable: ( vRawTable * vTType ) > $o ).
tff(decl_119,type,
esk1_0: vName ).
tff(decl_120,type,
esk2_0: vFType ).
tff(decl_121,type,
esk3_0: vTType ).
tff('projectFirstRawPreservesWelltypedRaw-tempty',conjecture,
! [X460: vName,X461: vFType,X462: vTType] :
( vwelltypedRawtable(vttcons(X460,X461,X462),vtempty)
=> vwelltypedRawtable(vttcons(X460,X461,vttempty),vprojectFirstRaw(vtempty)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','projectFirstRawPreservesWelltypedRaw-tempty') ).
tff('welltypedRawtable-0',axiom,
! [X100: vTType] : vwelltypedRawtable(X100,vtempty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','welltypedRawtable-0') ).
tff('projectFirstRaw-0',axiom,
vprojectFirstRaw(vtempty) = vtempty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','projectFirstRaw-0') ).
tff(c_0_3,negated_conjecture,
~ ! [X460: vName,X461: vFType,X462: vTType] :
( vwelltypedRawtable(vttcons(X460,X461,X462),vtempty)
=> vwelltypedRawtable(vttcons(X460,X461,vttempty),vprojectFirstRaw(vtempty)) ),
inference(assume_negation,[status(cth)],['projectFirstRawPreservesWelltypedRaw-tempty']) ).
tff(c_0_4,negated_conjecture,
( ~ vwelltypedRawtable(vttcons(esk1_0,esk2_0,vttempty),vprojectFirstRaw(vtempty))
& vwelltypedRawtable(vttcons(esk1_0,esk2_0,esk3_0),vtempty) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
tff(c_0_5,plain,
! [X466: vTType] : vwelltypedRawtable(X466,vtempty),
inference(variable_rename,[status(thm)],['welltypedRawtable-0']) ).
tcf(c_0_6,negated_conjecture,
~ vwelltypedRawtable(vttcons(esk1_0,esk2_0,vttempty),vprojectFirstRaw(vtempty)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
vprojectFirstRaw(vtempty) = vtempty,
inference(split_conjunct,[status(thm)],['projectFirstRaw-0']) ).
tcf(c_0_8,plain,
! [X18: vTType] : vwelltypedRawtable(X18,vtempty),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM305_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 14:25:16 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.27/0.46 % Version: 3.5.1
% 0.27/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.27/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.27/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.46 % Starting sh5l with 300s (1) cores
% 0.27/0.46 % new_bool_3 with pid 347823 completed with status 0
% 0.27/0.46 % Result found by new_bool_3
% 0.27/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.27/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.27/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.46 % Search class: FGUSM-FSLM31-MFFFFFNN
% 0.27/0.46 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.27/0.46 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.46 % SubtermCWHack with pid 347829 completed with status 0
% 0.27/0.46 % Result found by SubtermCWHack
% 0.27/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.27/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.27/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.46 % Search class: FGUSM-FSLM31-MFFFFFNN
% 0.27/0.46 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.27/0.46 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.46 % Preprocessing time : 0.006 s
% 0.27/0.46
% 0.27/0.46 % Proof found!
% 0.27/0.46 % SZS status Theorem
% 0.27/0.46 % SZS output start CNFRefutation
% See solution above
% 0.27/0.46 % Parsed axioms : 408
% 0.27/0.46 % Removed by relevancy pruning/SinE : 331
% 0.27/0.46 % Initial clauses : 404
% 0.27/0.46 % Removed in clause preprocessing : 0
% 0.27/0.46 % Initial clauses in saturation : 404
% 0.27/0.46 % Processed clauses : 24
% 0.27/0.46 % ...of these trivial : 1
% 0.27/0.46 % ...subsumed : 2
% 0.27/0.46 % ...remaining for further processing : 20
% 0.27/0.46 % Other redundant clauses eliminated : 1
% 0.27/0.46 % Clauses deleted for lack of memory : 0
% 0.27/0.46 % Backward-subsumed : 0
% 0.27/0.46 % Backward-rewritten : 0
% 0.27/0.46 % Generated clauses : 7
% 0.27/0.46 % ...of the previous two non-redundant : 4
% 0.27/0.46 % ...aggressively subsumed : 0
% 0.27/0.46 % Contextual simplify-reflections : 0
% 0.27/0.46 % Paramodulations : 6
% 0.27/0.46 % Factorizations : 0
% 0.27/0.46 % NegExts : 0
% 0.27/0.46 % Equation resolutions : 1
% 0.27/0.46 % Disequality decompositions : 0
% 0.27/0.46 % Total rewrite steps : 3
% 0.27/0.46 % ...of those cached : 0
% 0.27/0.46 % Propositional unsat checks : 0
% 0.27/0.46 % Propositional check models : 0
% 0.27/0.46 % Propositional check unsatisfiable : 0
% 0.27/0.46 % Propositional clauses : 0
% 0.27/0.46 % Propositional clauses after purity: 0
% 0.27/0.46 % Propositional unsat core size : 0
% 0.27/0.46 % Propositional preprocessing time : 0.000
% 0.27/0.46 % Propositional encoding time : 0.000
% 0.27/0.46 % Propositional solver time : 0.000
% 0.27/0.46 % Success case prop preproc time : 0.000
% 0.27/0.46 % Success case prop encoding time : 0.000
% 0.27/0.46 % Success case prop solver time : 0.000
% 0.27/0.46 % Current number of processed clauses : 20
% 0.27/0.46 % Positive orientable unit clauses : 11
% 0.27/0.46 % Positive unorientable unit clauses: 0
% 0.27/0.46 % Negative unit clauses : 6
% 0.27/0.46 % Non-unit-clauses : 3
% 0.27/0.46 % Current number of unprocessed clauses: 384
% 0.27/0.46 % ...number of literals in the above : 1107
% 0.27/0.46 % Current number of archived formulas : 0
% 0.27/0.46 % Current number of archived clauses : 0
% 0.27/0.46 % Clause-clause subsumption calls (NU) : 2
% 0.27/0.46 % Rec. Clause-clause subsumption calls : 2
% 0.27/0.46 % Non-unit clause-clause subsumptions : 1
% 0.27/0.46 % Unit Clause-clause subsumption calls : 12
% 0.27/0.46 % Rewrite failures with RHS unbound : 0
% 0.27/0.46 % BW rewrite match attempts : 0
% 0.27/0.46 % BW rewrite match successes : 0
% 0.27/0.46 % Condensation attempts : 0
% 0.27/0.46 % Condensation successes : 0
% 0.27/0.46 % Termbank termtop insertions : 18105
% 0.27/0.46 % Search garbage collected termcells : 5583
% 0.27/0.46
% 0.27/0.46 % -------------------------------------------------
% 0.27/0.46 % User time : 0.018 s
% 0.27/0.46 % System time : 0.004 s
% 0.27/0.46 % Total time : 0.022 s
% 0.27/0.46 % Maximum resident set size: 5200 pages
% 0.27/0.46
% 0.27/0.46 % -------------------------------------------------
% 0.27/0.46 % User time : 0.029 s
% 0.27/0.46 % System time : 0.012 s
% 0.27/0.46 % Total time : 0.041 s
% 0.27/0.46 % Maximum resident set size: 5632 pages
% 0.27/0.46 % E exiting
%------------------------------------------------------------------------------