%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM310_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 0.28s 0.46s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 3 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 7 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
vRow: $tType ).
tff(decl_sort2,type,
vTType: $tType ).
tff(decl_sort3,type,
vRawTable: $tType ).
tff(decl_23,type,
vrempty: vRow ).
tff(decl_37,type,
vtcons: ( vRawTable * vRow ) > vRawTable ).
tff(decl_42,type,
vrt2: vRawTable ).
tff(decl_49,type,
vttempty: vTType ).
tff(decl_79,type,
vwelltypedRawtable: ( vRawTable * vTType ) > $o ).
tff(decl_86,type,
vprojectEmptyCol: vRawTable > vRawTable ).
tff(decl_106,type,
vwelltypedRow: ( vRow * vTType ) > $o ).
tff(decl_120,type,
esk1_0: vRow ).
tff('welltypedEmptyProjection-tcons',conjecture,
! [X88: vRow] : vwelltypedRawtable(vttempty,vprojectEmptyCol(vtcons(X88,vrt2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedEmptyProjection-tcons') ).
tff('projectEmptyCol-1',axiom,
! [X230: vRow,X231: vRawTable] : ( vprojectEmptyCol(vtcons(X230,X231)) = vtcons(vrempty,vprojectEmptyCol(X231)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectEmptyCol-1') ).
tff('welltypedRawtable-1',axiom,
! [X54: vTType,X88: vRow,X101: vRawTable] :
( vwelltypedRawtable(X54,vtcons(X88,X101))
<=> ( vwelltypedRawtable(X54,X101)
& vwelltypedRow(X54,X88) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRawtable-1') ).
tff('welltypedRow-0',axiom,
vwelltypedRow(vttempty,vrempty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRow-0') ).
tff('welltypedEmptyProjection-tcons-IH0',axiom,
vwelltypedRawtable(vttempty,vprojectEmptyCol(vrt2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedEmptyProjection-tcons-IH0') ).
tff(c_0_5,negated_conjecture,
~ ! [X88: vRow] : vwelltypedRawtable(vttempty,vprojectEmptyCol(vtcons(X88,vrt2))),
inference(assume_negation,[status(cth)],['welltypedEmptyProjection-tcons']) ).
tff(c_0_6,negated_conjecture,
~ vwelltypedRawtable(vttempty,vprojectEmptyCol(vtcons(esk1_0,vrt2))),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
tff(c_0_7,plain,
! [X489: vRow,X490: vRawTable] : ( vprojectEmptyCol(vtcons(X489,X490)) = vtcons(vrempty,vprojectEmptyCol(X490)) ),
inference(variable_rename,[status(thm)],['projectEmptyCol-1']) ).
tff(c_0_8,plain,
! [X462: vTType,X463: vRow,X464: vRawTable] :
( ( vwelltypedRawtable(X462,vtcons(X463,X464))
| ~ vwelltypedRawtable(X462,X464)
| ~ vwelltypedRow(X462,X463) )
& ( ~ vwelltypedRawtable(X462,vtcons(X463,X464))
| vwelltypedRawtable(X462,X464) )
& ( ~ vwelltypedRawtable(X462,vtcons(X463,X464))
| vwelltypedRow(X462,X463) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['welltypedRawtable-1'])])])]) ).
tcf(c_0_9,negated_conjecture,
~ vwelltypedRawtable(vttempty,vprojectEmptyCol(vtcons(esk1_0,vrt2))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,plain,
! [X30: vRow,X27: vRawTable] : vprojectEmptyCol(vtcons(X30,X27)) = vtcons(vrempty,vprojectEmptyCol(X27)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
! [X18: vTType,X30: vRow,X27: vRawTable] :
( ~ vwelltypedRawtable(X18,X27)
| ~ vwelltypedRow(X18,X30)
| vwelltypedRawtable(X18,vtcons(X30,X27)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_12,plain,
vwelltypedRow(vttempty,vrempty),
inference(split_conjunct,[status(thm)],['welltypedRow-0']) ).
tcf(c_0_13,negated_conjecture,
~ vwelltypedRawtable(vttempty,vtcons(vrempty,vprojectEmptyCol(vrt2))),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
tcf(c_0_14,plain,
! [X27: vRawTable] :
( ~ vwelltypedRawtable(vttempty,X27)
| vwelltypedRawtable(vttempty,vtcons(vrempty,X27)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
tcf(c_0_15,plain,
vwelltypedRawtable(vttempty,vprojectEmptyCol(vrt2)),
inference(split_conjunct,[status(thm)],['welltypedEmptyProjection-tcons-IH0']) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM310_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.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 14:25:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.28/0.46 % Version: 3.5.1
% 0.28/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.28/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.28/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.28/0.46 % Starting sh5l with 300s (1) cores
% 0.28/0.46 % new_bool_3 with pid 3510365 completed with status 0
% 0.28/0.46 % Result found by new_bool_3
% 0.28/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.28/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.28/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.46 % Search class: FGUSM-FSLM31-MFFFFFNN
% 0.28/0.46 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.28/0.46 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.28/0.46 % SubtermCWHack with pid 3510368 completed with status 0
% 0.28/0.46 % Result found by SubtermCWHack
% 0.28/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.28/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.28/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.46 % Search class: FGUSM-FSLM31-MFFFFFNN
% 0.28/0.46 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.28/0.46 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.28/0.46 % Preprocessing time : 0.006 s
% 0.28/0.46
% 0.28/0.46 % Proof found!
% 0.28/0.46 % SZS status Theorem
% 0.28/0.46 % SZS output start CNFRefutation
% See solution above
% 0.28/0.46 % Parsed axioms : 410
% 0.28/0.46 % Removed by relevancy pruning/SinE : 309
% 0.28/0.46 % Initial clauses : 484
% 0.28/0.46 % Removed in clause preprocessing : 0
% 0.28/0.46 % Initial clauses in saturation : 484
% 0.28/0.46 % Processed clauses : 307
% 0.28/0.46 % ...of these trivial : 25
% 0.28/0.46 % ...subsumed : 100
% 0.28/0.46 % ...remaining for further processing : 182
% 0.28/0.46 % Other redundant clauses eliminated : 66
% 0.28/0.46 % Clauses deleted for lack of memory : 0
% 0.28/0.46 % Backward-subsumed : 0
% 0.28/0.46 % Backward-rewritten : 11
% 0.28/0.46 % Generated clauses : 523
% 0.28/0.46 % ...of the previous two non-redundant : 299
% 0.28/0.46 % ...aggressively subsumed : 0
% 0.28/0.46 % Contextual simplify-reflections : 0
% 0.28/0.46 % Paramodulations : 445
% 0.28/0.46 % Factorizations : 0
% 0.28/0.46 % NegExts : 0
% 0.28/0.46 % Equation resolutions : 78
% 0.28/0.46 % Disequality decompositions : 0
% 0.28/0.46 % Total rewrite steps : 244
% 0.28/0.46 % ...of those cached : 173
% 0.28/0.46 % Propositional unsat checks : 0
% 0.28/0.46 % Propositional check models : 0
% 0.28/0.46 % Propositional check unsatisfiable : 0
% 0.28/0.46 % Propositional clauses : 0
% 0.28/0.46 % Propositional clauses after purity: 0
% 0.28/0.46 % Propositional unsat core size : 0
% 0.28/0.46 % Propositional preprocessing time : 0.000
% 0.28/0.46 % Propositional encoding time : 0.000
% 0.28/0.46 % Propositional solver time : 0.000
% 0.28/0.46 % Success case prop preproc time : 0.000
% 0.28/0.46 % Success case prop encoding time : 0.000
% 0.28/0.46 % Success case prop solver time : 0.000
% 0.28/0.46 % Current number of processed clauses : 171
% 0.28/0.46 % Positive orientable unit clauses : 51
% 0.28/0.46 % Positive unorientable unit clauses: 5
% 0.28/0.46 % Negative unit clauses : 12
% 0.28/0.46 % Non-unit-clauses : 103
% 0.28/0.46 % Current number of unprocessed clauses: 472
% 0.28/0.46 % ...number of literals in the above : 1372
% 0.28/0.46 % Current number of archived formulas : 0
% 0.28/0.46 % Current number of archived clauses : 11
% 0.28/0.46 % Clause-clause subsumption calls (NU) : 2665
% 0.28/0.46 % Rec. Clause-clause subsumption calls : 2520
% 0.28/0.46 % Non-unit clause-clause subsumptions : 57
% 0.28/0.46 % Unit Clause-clause subsumption calls : 197
% 0.28/0.46 % Rewrite failures with RHS unbound : 33
% 0.28/0.46 % BW rewrite match attempts : 18
% 0.28/0.46 % BW rewrite match successes : 16
% 0.28/0.46 % Condensation attempts : 0
% 0.28/0.46 % Condensation successes : 0
% 0.28/0.46 % Termbank termtop insertions : 23800
% 0.28/0.46 % Search garbage collected termcells : 5696
% 0.28/0.46
% 0.28/0.46 % -------------------------------------------------
% 0.28/0.46 % User time : 0.023 s
% 0.28/0.46 % System time : 0.007 s
% 0.28/0.46 % Total time : 0.030 s
% 0.28/0.46 % Maximum resident set size: 5200 pages
% 0.28/0.46
% 0.28/0.46 % -------------------------------------------------
% 0.28/0.46 % User time : 0.039 s
% 0.28/0.46 % System time : 0.011 s
% 0.28/0.46 % Total time : 0.050 s
% 0.28/0.46 % Maximum resident set size: 5376 pages
% 0.28/0.46 % E exiting
%------------------------------------------------------------------------------