%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV084^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : Wed Sep 30 08:35:56 AM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV084^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 15:11:11 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.dM704eOhcn/E---3.1_2625789.p
% 0.07/0.26 % Version: 3.5.1-ho
% 0.07/0.26 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.07/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.26 % Starting post_as_ho5 with 1500s (5) cores
% 0.07/0.26 % Starting sh2lt with 300s (1) cores
% 0.07/0.26 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.07/0.26 % Starting post_as_ho10 with 300s (1) cores
% 0.07/0.26 % sh2lt with pid 2625803 completed with status 0
% 0.07/0.26 % Result found by sh2lt
% 0.07/0.26 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.07/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.26 % Starting post_as_ho5 with 1500s (5) cores
% 0.07/0.26 % Starting sh2lt with 300s (1) cores
% 0.07/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.07/0.26 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.07/0.26 % Search class: HGHNF-FFSF00-SHHFFSBN
% 0.07/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.26 % SubtermCWHack with pid 2625811 completed with status 10
% 0.07/0.26 % Starting sh2lt with 31s (1) cores
% 0.07/0.26 % sh2lt with pid 2625814 completed with status 0
% 0.07/0.26 % Result found by sh2lt
% 0.07/0.26 % Preprocessing class: HSSSSMSSSSMNHHA.
% 0.07/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.26 % Starting post_as_ho5 with 1500s (5) cores
% 0.07/0.26 % Starting sh2lt with 300s (1) cores
% 0.07/0.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.07/0.26 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.07/0.26 % Search class: HGHNF-FFSF00-SHHFFSBN
% 0.07/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.26 % SubtermCWHack with pid 2625811 completed with status 10
% 0.07/0.26 % Starting sh2lt with 31s (1) cores
% 0.07/0.26 % Preprocessing time : 0.001 s
% 0.07/0.26 % Presaturation interreduction done
% 0.07/0.26
% 0.07/0.26 % Proof found!
% 0.07/0.26 % SZS status Theorem
% 0.07/0.26 % SZS output start CNFRefutation
% 0.07/0.26 thf(decl_23, type, cP: $o).
% 0.07/0.26 thf(decl_24, type, epred1_1: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.07/0.26 thf(decl_25, type, epred2_1: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.07/0.26 thf(decl_26, type, epred3_1: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.07/0.26 thf(decl_27, type, epred4_1: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.07/0.26 thf(decl_28, type, epred5_0: $i > $o).
% 0.07/0.26 thf(decl_29, type, epred6_0: $i > $o).
% 0.07/0.26 thf(cTHM120J_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $o]:(((~((X1 @ (^[X2:$i]:((((cP))|(~((cP)))))) @ (^[X2:$i]:((((cP))&(~((cP))))))))&![X3:$i > $o]:((X1 @ X3 @ X3)))&![X4:$i > $o, X5:$i > $o, X6:$i > $o]:((((X1 @ X4 @ X5)&(X1 @ X5 @ X6))=>(X1 @ X4 @ X6))))), file('/export/starexec/sandbox2/tmp/tmp.dM704eOhcn/E---3.1_2625789.p', cTHM120J_pme)).
% 0.07/0.26 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $o]:(((~((X1 @ (^[X2:$i]:((((cP))|(~((cP)))))) @ (^[X2:$i]:((((cP))&(~((cP))))))))&![X3:$i > $o]:((X1 @ X3 @ X3)))&![X4:$i > $o, X5:$i > $o, X6:$i > $o]:((((X1 @ X4 @ X5)&(X1 @ X5 @ X6))=>(X1 @ X4 @ X6)))))), inference(assume_negation,[status(cth)],[cTHM120J_pme])).
% 0.07/0.26 thf(c_0_2, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $o]:(((~((X1 @ (^[Z0:$i]:((((cP))|(~((cP)))))) @ (^[Z0:$i]:((((cP))&(~((cP))))))))&![X3:$i > $o]:((X1 @ X3 @ X3)))&![X4:$i > $o, X5:$i > $o, X6:$i > $o]:((((X1 @ X4 @ X5)&(X1 @ X5 @ X6))=>(X1 @ X4 @ X6)))))), inference(fof_simplification,[status(thm)],[c_0_1])).
% 0.07/0.26 thf(c_0_3, negated_conjecture, ![X12:($i > $o) > ($i > $o) > $o]:(((((X12 @ (epred2_1 @ X12) @ (epred3_1 @ X12))|((X12 @ (^[Z0:$i]:((((cP))|(~((cP)))))) @ (^[Z0:$i]:((((cP))&(~((cP)))))))|~(X12 @ (epred1_1 @ X12) @ (epred1_1 @ X12))))&((X12 @ (epred3_1 @ X12) @ (epred4_1 @ X12))|((X12 @ (^[Z0:$i]:((((cP))|(~((cP)))))) @ (^[Z0:$i]:((((cP))&(~((cP)))))))|~(X12 @ (epred1_1 @ X12) @ (epred1_1 @ X12)))))&(~(X12 @ (epred2_1 @ X12) @ (epred4_1 @ X12))|((X12 @ (^[Z0:$i]:((((cP))|(~((cP)))))) @ (^[Z0:$i]:((((cP))&(~((cP)))))))|~(X12 @ (epred1_1 @ X12) @ (epred1_1 @ X12)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])).
% 0.07/0.26 thf(c_0_4, plain, ![X18:$i]:(((epred6_0 @ X18)<=>((cP)&~((cP))))), introduced(definition)).
% 0.07/0.26 thf(c_0_5, plain, ![X17:$i]:(((epred5_0 @ X17)<=>((cP)|~((cP))))), introduced(definition)).
% 0.07/0.26 thf(c_0_6, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred2_1 @ X1) @ (epred3_1 @ X1))|(((X1 @ epred5_0 @ epred6_0))=(($true)))|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5])).
% 0.07/0.26 thf(c_0_7, plain, ![X24:$i]:(((~(epred5_0 @ X24)|((cP)|~(cP)))&((~(cP)|(epred5_0 @ X24))&((cP)|(epred5_0 @ X24))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])])])).
% 0.07/0.26 thf(c_0_8, plain, ![X23:$i]:(((((cP)|~(epred6_0 @ X23))&(~(cP)|~(epred6_0 @ X23)))&(~(cP)|(cP)|(epred6_0 @ X23)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])])])).
% 0.07/0.26 thf(c_0_9, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((((X1 @ epred5_0 @ epred6_0))=(($true)))|~((X1 @ (epred2_1 @ X1) @ (epred4_1 @ X1)))|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5])).
% 0.07/0.26 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred2_1 @ X1) @ (epred3_1 @ X1))|(X1 @ epred5_0 @ epred6_0)|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(cn,[status(thm)],[c_0_6])).
% 0.07/0.26 thf(c_0_11, plain, ![X2:$i]:(((epred5_0 @ X2)|~((cP)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.26 thf(c_0_12, plain, ![X2:$i]:(((cP)|(epred5_0 @ X2))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.26 thf(c_0_13, plain, ![X2:$i]:(((cP)|~((epred6_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.07/0.26 thf(c_0_14, plain, ![X2:$i]:((~((cP))|~((epred6_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.07/0.26 thf(c_0_15, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ epred5_0 @ epred6_0)|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1)))|~((X1 @ (epred2_1 @ X1) @ (epred4_1 @ X1))))), inference(cn,[status(thm)],[c_0_9])).
% 0.07/0.26 thf(c_0_16, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|(((X1 @ epred5_0 @ epred6_0))=(($true)))|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5])).
% 0.07/0.26 thf(c_0_17, negated_conjecture, (((epred3_1 @ $eq)=(epred2_1 @ $eq))|((epred6_0)=(epred5_0))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_10])).
% 0.07/0.26 thf(c_0_18, plain, ![X2:$i]:((epred5_0 @ X2)), inference(csr,[status(thm)],[c_0_11, c_0_12])).
% 0.07/0.26 thf(c_0_19, plain, ![X2:$i]:(~((epred6_0 @ X2))), inference(csr,[status(thm)],[c_0_13, c_0_14])).
% 0.07/0.26 thf(c_0_20, negated_conjecture, (((epred6_0)=(epred5_0))|((epred4_1 @ $eq)!=(epred2_1 @ $eq))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_15])).
% 0.07/0.26 thf(c_0_21, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $o]:(((X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|(X1 @ epred5_0 @ epred6_0)|~((X1 @ (epred1_1 @ X1) @ (epred1_1 @ X1))))), inference(cn,[status(thm)],[c_0_16])).
% 0.07/0.26 thf(c_0_22, negated_conjecture, ((epred3_1 @ $eq)=(epred2_1 @ $eq)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_17]), c_0_18]), c_0_19])).
% 0.07/0.26 thf(c_0_23, negated_conjecture, ((epred4_1 @ $eq)!=(epred2_1 @ $eq)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_20]), c_0_18]), c_0_19])).
% 0.07/0.26 thf(c_0_24, negated_conjecture, ((epred6_0)=(epred5_0)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_21]), c_0_22]), c_0_23])).
% 0.07/0.26 thf(c_0_25, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_24]), c_0_18]), c_0_19]), ['proof']).
% 0.07/0.26 % SZS output end CNFRefutation
% 0.07/0.26 % Parsed axioms : 2
% 0.07/0.26 % Removed by relevancy pruning/SinE : 1
% 0.07/0.26 % Initial clauses : 9
% 0.07/0.26 % Removed in clause preprocessing : 2
% 0.07/0.26 % Initial clauses in saturation : 7
% 0.07/0.26 % Processed clauses : 25
% 0.07/0.26 % ...of these trivial : 1
% 0.07/0.26 % ...subsumed : 1
% 0.07/0.26 % ...remaining for further processing : 23
% 0.07/0.26 % Other redundant clauses eliminated : 0
% 0.07/0.26 % Clauses deleted for lack of memory : 0
% 0.07/0.26 % Backward-subsumed : 4
% 0.07/0.26 % Backward-rewritten : 3
% 0.07/0.26 % Generated clauses : 49
% 0.07/0.26 % ...of the previous two non-redundant : 35
% 0.07/0.26 % ...aggressively subsumed : 0
% 0.07/0.26 % Contextual simplify-reflections : 2
% 0.07/0.26 % Paramodulations : 4
% 0.07/0.26 % Factorizations : 0
% 0.07/0.26 % NegExts : 2
% 0.07/0.26 % Equation resolutions : 0
% 0.07/0.26 % Disequality decompositions : 0
% 0.07/0.26 % Total rewrite steps : 10
% 0.07/0.26 % ...of those cached : 2
% 0.07/0.26 % Propositional unsat checks : 0
% 0.07/0.26 % Propositional check models : 0
% 0.07/0.26 % Propositional check unsatisfiable : 0
% 0.07/0.26 % Propositional clauses : 0
% 0.07/0.26 % Propositional clauses after purity: 0
% 0.07/0.26 % Propositional unsat core size : 0
% 0.07/0.26 % Propositional preprocessing time : 0.000
% 0.07/0.26 % Propositional encoding time : 0.000
% 0.07/0.26 % Propositional solver time : 0.000
% 0.07/0.26 % Success case prop preproc time : 0.000
% 0.07/0.26 % Success case prop encoding time : 0.000
% 0.07/0.26 % Success case prop solver time : 0.000
% 0.07/0.26 % Current number of processed clauses : 9
% 0.07/0.26 % Positive orientable unit clauses : 3
% 0.07/0.26 % Positive unorientable unit clauses: 0
% 0.07/0.26 % Negative unit clauses : 2
% 0.07/0.26 % Non-unit-clauses : 4
% 0.07/0.26 % Current number of unprocessed clauses: 19
% 0.07/0.26 % ...number of literals in the above : 46
% 0.07/0.26 % Current number of archived formulas : 0
% 0.07/0.26 % Current number of archived clauses : 14
% 0.07/0.26 % Clause-clause subsumption calls (NU) : 5
% 0.07/0.26 % Rec. Clause-clause subsumption calls : 5
% 0.07/0.26 % Non-unit clause-clause subsumptions : 2
% 0.07/0.26 % Unit Clause-clause subsumption calls : 8
% 0.07/0.26 % Rewrite failures with RHS unbound : 0
% 0.07/0.26 % BW rewrite match attempts : 4
% 0.07/0.26 % BW rewrite match successes : 3
% 0.07/0.26 % Condensation attempts : 0
% 0.07/0.26 % Condensation successes : 0
% 0.07/0.26 % Termbank termtop insertions : 4730
% 0.07/0.26 % Search garbage collected termcells : 171
% 0.07/0.26
% 0.07/0.26 % -------------------------------------------------
% 0.07/0.26 % User time : 0.008 s
% 0.07/0.26 % System time : 0.003 s
% 0.07/0.26 % Total time : 0.011 s
% 0.07/0.26 % Maximum resident set size: 3632 pages
% 0.07/0.26
% 0.07/0.26 % -------------------------------------------------
% 0.07/0.26 % User time : 0.011 s
% 0.07/0.26 % System time : 0.006 s
% 0.07/0.26 % Total time : 0.017 s
% 0.07/0.26 % Maximum resident set size: 4608 pages
% 0.07/0.26 % E exiting
%------------------------------------------------------------------------------