%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU901^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Wed Sep 30 08:25:55 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU901^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:39:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ZxN18PxzTh/E---3.1_426411.p
% 0.22/0.27 % Version: 3.5.1-ho
% 0.22/0.27 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting post_as_ho1 with 1500s (5) cores
% 0.22/0.27 % Starting post_as_ho12 with 300s (1) cores
% 0.22/0.27 % Starting new_ho_3 with 300s (1) cores
% 0.22/0.27 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.22/0.27 % post_as_ho12 with pid 426425 completed with status 0
% 0.22/0.27 % Result found by post_as_ho12
% 0.22/0.27 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting post_as_ho1 with 1500s (5) cores
% 0.22/0.27 % Starting post_as_ho12 with 300s (1) cores
% 0.22/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.27 % No SInE strategy applied
% 0.22/0.27 % Search class: HHUSF-FFSF00-MSSFFMBN
% 0.22/0.27 % partial match(2): HHUNF-FFSF00-SSSFFMBN
% 0.22/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.27 % SubtermCWHack with pid 426430 completed with status 0
% 0.22/0.27 % Result found by SubtermCWHack
% 0.22/0.27 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting post_as_ho1 with 1500s (5) cores
% 0.22/0.28 % Starting post_as_ho12 with 300s (1) cores
% 0.22/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.28 % No SInE strategy applied
% 0.22/0.28 % Search class: HHUSF-FFSF00-MSSFFMBN
% 0.22/0.28 % partial match(2): HHUNF-FFSF00-SSSFFMBN
% 0.22/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.28 % Preprocessing time : 0.001 s
% 0.22/0.28
% 0.22/0.28 % Proof found!
% 0.22/0.28 % SZS status Theorem
% 0.22/0.28 % SZS output start CNFRefutation
% 0.22/0.28 thf(decl_sort1, type, g: $tType).
% 0.22/0.28 thf(decl_sort2, type, b: $tType).
% 0.22/0.28 thf(decl_sort3, type, a: $tType).
% 0.22/0.28 thf(decl_23, type, epred1_8: (b > a) > (a > $o) > (a > a) > (b > $o) > (b > b) > (g > b) > (g > $o) > (g > g) > $o).
% 0.22/0.28 thf(decl_24, type, esk1_0: g > b).
% 0.22/0.28 thf(decl_25, type, esk2_0: b > a).
% 0.22/0.28 thf(decl_26, type, epred2_0: g > $o).
% 0.22/0.28 thf(decl_27, type, esk3_0: g > g).
% 0.22/0.28 thf(decl_28, type, epred3_0: b > $o).
% 0.22/0.28 thf(decl_29, type, esk4_0: b > b).
% 0.22/0.28 thf(decl_30, type, epred4_0: a > $o).
% 0.22/0.28 thf(decl_31, type, esk5_0: a > a).
% 0.22/0.28 thf(decl_32, type, esk6_0: g).
% 0.22/0.28 thf(cTHM131D_pme, conjecture, ![X1:g > b, X2:b > a, X3:g > $o, X4:g > g, X5:b > $o, X6:b > b, X7:a > $o, X8:a > a]:(((((((((![X9:g]:(((X3 @ X9)=>(X3 @ (X4 @ X9))))&![X10:b]:(((X5 @ X10)=>(X5 @ (X6 @ X10)))))&![X9:g]:(((X3 @ X9)=>(X5 @ (X1 @ X9)))))&![X9:g]:(((X3 @ X9)=>((X1 @ (X4 @ X9))=(X6 @ (X1 @ X9))))))&![X11:b]:(((X5 @ X11)=>(X5 @ (X6 @ X11)))))&![X12:a]:(((X7 @ X12)=>(X7 @ (X8 @ X12)))))&![X13:b]:(((X5 @ X13)=>(X7 @ (X2 @ X13)))))&![X14:b]:(((X5 @ X14)=>((X2 @ (X6 @ X14))=(X8 @ (X2 @ X14))))))=>![X9:g]:(((X3 @ X9)=>((X2 @ (X1 @ (X4 @ X9)))=(X8 @ (X2 @ (X1 @ X9)))))))), file('/export/starexec/sandbox/tmp/tmp.ZxN18PxzTh/E---3.1_426411.p', cTHM131D_pme)).
% 0.22/0.28 thf(c_0_1, plain, ![X4:g > g, X3:g > $o, X1:g > b, X5:b > $o, X8:a > a, X7:a > $o, X6:b > b, X2:b > a]:(((epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4)<=>(((((((![X9:g]:(((X3 @ X9)=>(X3 @ (X4 @ X9))))&![X10:b]:(((X5 @ X10)=>(X5 @ (X6 @ X10)))))&![X9:g]:(((X3 @ X9)=>(X5 @ (X1 @ X9)))))&![X9:g]:(((X3 @ X9)=>((X1 @ (X4 @ X9))=(X6 @ (X1 @ X9))))))&![X11:b]:(((X5 @ X11)=>(X5 @ (X6 @ X11)))))&![X12:a]:(((X7 @ X12)=>(X7 @ (X8 @ X12)))))&![X13:b]:(((X5 @ X13)=>(X7 @ (X2 @ X13)))))&![X14:b]:(((X5 @ X14)=>((X2 @ (X6 @ X14))=(X8 @ (X2 @ X14)))))))), introduced(definition)).
% 0.22/0.28 thf(c_0_2, negated_conjecture, ~(![X1:g > b, X2:b > a, X3:g > $o, X4:g > g, X5:b > $o, X6:b > b, X7:a > $o, X8:a > a]:(((((((((![X9:g]:(((X3 @ X9)=>(X3 @ (X4 @ X9))))&![X10:b]:(((X5 @ X10)=>(X5 @ (X6 @ X10)))))&![X9:g]:(((X3 @ X9)=>(X5 @ (X1 @ X9)))))&![X9:g]:(((X3 @ X9)=>((X1 @ (X4 @ X9))=(X6 @ (X1 @ X9))))))&![X11:b]:(((X5 @ X11)=>(X5 @ (X6 @ X11)))))&![X12:a]:(((X7 @ X12)=>(X7 @ (X8 @ X12)))))&![X13:b]:(((X5 @ X13)=>(X7 @ (X2 @ X13)))))&![X14:b]:(((X5 @ X14)=>((X2 @ (X6 @ X14))=(X8 @ (X2 @ X14))))))=>![X9:g]:(((X3 @ X9)=>((X2 @ (X1 @ (X4 @ X9)))=(X8 @ (X2 @ (X1 @ X9))))))))), inference(assume_negation,[status(cth)],[cTHM131D_pme])).
% 0.22/0.28 thf(c_0_3, plain, ![X4:g > g, X3:g > $o, X1:g > b, X5:b > $o, X8:a > a, X7:a > $o, X6:b > b, X2:b > a]:(((epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4)=>(((((((![X9:g]:(((X3 @ X9)=>(X3 @ (X4 @ X9))))&![X10:b]:(((X5 @ X10)=>(X5 @ (X6 @ X10)))))&![X9:g]:(((X3 @ X9)=>(X5 @ (X1 @ X9)))))&![X9:g]:(((X3 @ X9)=>((X1 @ (X4 @ X9))=(X6 @ (X1 @ X9))))))&![X11:b]:(((X5 @ X11)=>(X5 @ (X6 @ X11)))))&![X12:a]:(((X7 @ X12)=>(X7 @ (X8 @ X12)))))&![X13:b]:(((X5 @ X13)=>(X7 @ (X2 @ X13)))))&![X14:b]:(((X5 @ X14)=>((X2 @ (X6 @ X14))=(X8 @ (X2 @ X14)))))))), inference(split_equiv,[status(thm)],[c_0_1])).
% 0.22/0.28 thf(c_0_4, negated_conjecture, ~(![X1:g > b, X2:b > a, X3:g > $o, X4:g > g, X5:b > $o, X6:b > b, X7:a > $o, X8:a > a]:(((epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4)=>![X9:g]:(((X3 @ X9)=>((X2 @ (X1 @ (X4 @ X9)))=(X8 @ (X2 @ (X1 @ X9))))))))), inference(apply_def,[status(thm)],[c_0_2, c_0_1])).
% 0.22/0.28 thf(c_0_5, plain, ![X41:g > g, X42:g > $o, X43:g > b, X44:b > $o, X45:a > a, X46:a > $o, X47:b > b, X48:b > a, X49:g, X50:b, X51:g, X52:g, X53:b, X54:a, X55:b, X56:b]:(((((((((~(X42 @ X49)|(X42 @ (X41 @ X49))|~(epred1_8 @ X48 @ X46 @ X45 @ X44 @ X47 @ X43 @ X42 @ X41))&(~(X44 @ X50)|(X44 @ (X47 @ X50))|~(epred1_8 @ X48 @ X46 @ X45 @ X44 @ X47 @ X43 @ X42 @ X41)))&(~(X42 @ X51)|(X44 @ (X43 @ X51))|~(epred1_8 @ X48 @ X46 @ X45 @ X44 @ X47 @ X43 @ X42 @ X41)))&(~(X42 @ X52)|((X43 @ (X41 @ X52))=(X47 @ (X43 @ X52)))|~(epred1_8 @ X48 @ X46 @ X45 @ X44 @ X47 @ X43 @ X42 @ X41)))&(~(X44 @ X53)|(X44 @ (X47 @ X53))|~(epred1_8 @ X48 @ X46 @ X45 @ X44 @ X47 @ X43 @ X42 @ X41)))&(~(X46 @ X54)|(X46 @ (X45 @ X54))|~(epred1_8 @ X48 @ X46 @ X45 @ X44 @ X47 @ X43 @ X42 @ X41)))&(~(X44 @ X55)|(X46 @ (X48 @ X55))|~(epred1_8 @ X48 @ X46 @ X45 @ X44 @ X47 @ X43 @ X42 @ X41)))&(~(X44 @ X56)|((X48 @ (X47 @ X56))=(X45 @ (X48 @ X56)))|~(epred1_8 @ X48 @ X46 @ X45 @ X44 @ X47 @ X43 @ X42 @ X41)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])).
% 0.22/0.28 thf(c_0_6, negated_conjecture, ((epred1_8 @ esk2_0 @ epred4_0 @ esk5_0 @ epred3_0 @ esk4_0 @ esk1_0 @ epred2_0 @ esk3_0)&((epred2_0 @ esk6_0)&((esk2_0 @ (esk1_0 @ (esk3_0 @ esk6_0)))!=(esk5_0 @ (esk2_0 @ (esk1_0 @ esk6_0)))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])).
% 0.22/0.28 thf(c_0_7, plain, ![X10:b, X8:a > a, X7:a > $o, X6:b > b, X5:b > $o, X2:b > a, X1:g > b, X3:g > $o, X4:g > g]:((((X2 @ (X6 @ X10))=(X8 @ (X2 @ X10)))|~((X5 @ X10))|~((epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.22/0.28 thf(c_0_8, negated_conjecture, (epred1_8 @ esk2_0 @ epred4_0 @ esk5_0 @ epred3_0 @ esk4_0 @ esk1_0 @ epred2_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.22/0.28 thf(c_0_9, negated_conjecture, ((esk2_0 @ (esk1_0 @ (esk3_0 @ esk6_0)))!=(esk5_0 @ (esk2_0 @ (esk1_0 @ esk6_0)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.22/0.28 thf(c_0_10, negated_conjecture, ![X10:b]:((((esk5_0 @ (esk2_0 @ X10))=(esk2_0 @ (esk4_0 @ X10)))|~((epred3_0 @ X10)))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.22/0.28 thf(c_0_11, plain, ![X2:b > a, X9:g, X8:a > a, X7:a > $o, X6:b > b, X5:b > $o, X1:g > b, X3:g > $o, X4:g > g]:((((X1 @ (X4 @ X9))=(X6 @ (X1 @ X9)))|~((X3 @ X9))|~((epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.22/0.28 thf(c_0_12, negated_conjecture, (((esk2_0 @ (esk4_0 @ (esk1_0 @ esk6_0)))!=(esk2_0 @ (esk1_0 @ (esk3_0 @ esk6_0))))|~((epred3_0 @ (esk1_0 @ esk6_0)))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 0.22/0.28 thf(c_0_13, negated_conjecture, ![X9:g]:((((esk4_0 @ (esk1_0 @ X9))=(esk1_0 @ (esk3_0 @ X9)))|~((epred2_0 @ X9)))), inference(spm,[status(thm)],[c_0_11, c_0_8])).
% 0.22/0.28 thf(c_0_14, negated_conjecture, (epred2_0 @ esk6_0), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.22/0.28 thf(c_0_15, plain, ![X2:b > a, X9:g, X8:a > a, X7:a > $o, X6:b > b, X5:b > $o, X1:g > b, X3:g > $o, X4:g > g]:(((X5 @ (X1 @ X9))|~((X3 @ X9))|~((epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.22/0.28 thf(c_0_16, negated_conjecture, ~((epred3_0 @ (esk1_0 @ esk6_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])])).
% 0.22/0.28 thf(c_0_17, negated_conjecture, ![X9:g]:(((epred3_0 @ (esk1_0 @ X9))|~((epred2_0 @ X9)))), inference(spm,[status(thm)],[c_0_15, c_0_8])).
% 0.22/0.28 thf(c_0_18, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_14])]), ['proof']).
% 0.22/0.28 % SZS output end CNFRefutation
% 0.22/0.28 % Parsed axioms : 4
% 0.22/0.28 % Removed by relevancy pruning/SinE : 0
% 0.22/0.28 % Initial clauses : 14
% 0.22/0.28 % Removed in clause preprocessing : 3
% 0.22/0.28 % Initial clauses in saturation : 11
% 0.22/0.28 % Processed clauses : 23
% 0.22/0.28 % ...of these trivial : 0
% 0.22/0.28 % ...subsumed : 1
% 0.22/0.28 % ...remaining for further processing : 22
% 0.22/0.28 % Other redundant clauses eliminated : 0
% 0.22/0.28 % Clauses deleted for lack of memory : 0
% 0.22/0.28 % Backward-subsumed : 1
% 0.22/0.28 % Backward-rewritten : 0
% 0.22/0.28 % Generated clauses : 13
% 0.22/0.28 % ...of the previous two non-redundant : 12
% 0.22/0.28 % ...aggressively subsumed : 0
% 0.22/0.28 % Contextual simplify-reflections : 3
% 0.22/0.28 % Paramodulations : 13
% 0.22/0.28 % Factorizations : 0
% 0.22/0.28 % NegExts : 0
% 0.22/0.28 % Equation resolutions : 0
% 0.22/0.28 % Disequality decompositions : 0
% 0.22/0.28 % Total rewrite steps : 2
% 0.22/0.28 % ...of those cached : 1
% 0.22/0.28 % Propositional unsat checks : 0
% 0.22/0.28 % Propositional check models : 0
% 0.22/0.28 % Propositional check unsatisfiable : 0
% 0.22/0.28 % Propositional clauses : 0
% 0.22/0.28 % Propositional clauses after purity: 0
% 0.22/0.28 % Propositional unsat core size : 0
% 0.22/0.28 % Propositional preprocessing time : 0.000
% 0.22/0.28 % Propositional encoding time : 0.000
% 0.22/0.28 % Propositional solver time : 0.000
% 0.22/0.28 % Success case prop preproc time : 0.000
% 0.22/0.28 % Success case prop encoding time : 0.000
% 0.22/0.28 % Success case prop solver time : 0.000
% 0.22/0.28 % Current number of processed clauses : 21
% 0.22/0.28 % Positive orientable unit clauses : 2
% 0.22/0.28 % Positive unorientable unit clauses: 0
% 0.22/0.28 % Negative unit clauses : 2
% 0.22/0.28 % Non-unit-clauses : 17
% 0.22/0.28 % Current number of unprocessed clauses: 0
% 0.22/0.28 % ...number of literals in the above : 0
% 0.22/0.28 % Current number of archived formulas : 0
% 0.22/0.28 % Current number of archived clauses : 1
% 0.22/0.28 % Clause-clause subsumption calls (NU) : 46
% 0.22/0.28 % Rec. Clause-clause subsumption calls : 36
% 0.22/0.28 % Non-unit clause-clause subsumptions : 4
% 0.22/0.28 % Unit Clause-clause subsumption calls : 1
% 0.22/0.28 % Rewrite failures with RHS unbound : 0
% 0.22/0.28 % BW rewrite match attempts : 0
% 0.22/0.28 % BW rewrite match successes : 0
% 0.22/0.28 % Condensation attempts : 0
% 0.22/0.28 % Condensation successes : 0
% 0.22/0.28 % Termbank termtop insertions : 1591
% 0.22/0.28 % Search garbage collected termcells : 388
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.005 s
% 0.22/0.28 % System time : 0.003 s
% 0.22/0.28 % Total time : 0.008 s
% 0.22/0.28 % Maximum resident set size: 3660 pages
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.009 s
% 0.22/0.28 % System time : 0.006 s
% 0.22/0.28 % Total time : 0.014 s
% 0.22/0.28 % Maximum resident set size: 4864 pages
% 0.22/0.28 % E exiting
%------------------------------------------------------------------------------