%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW474^3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:40:09 AM UTC 2026
% Result : Theorem 1.09s 0.77s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW474^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n019.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 16:06:18 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 Running higher-order theorem proving
% 0.32/0.44 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.oclVmPgstX/E---3.1_975546.p
% 1.09/0.77 % Version: 3.5.1-ho
% 1.09/0.77 % partial match(2): HSLMSMSSSSLCHSA
% 1.09/0.77 % Preprocessing class: HMLMSLSSSSLCHSA.
% 1.09/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.77 % Starting pre_casc_6 with 1500s (5) cores
% 1.09/0.77 % Starting ehoh_best7 with 300s (1) cores
% 1.09/0.77 % Starting new_bool_8 with 300s (1) cores
% 1.09/0.77 % Starting new_ho_11 with 300s (1) cores
% 1.09/0.77 % new_bool_8 with pid 975640 completed with status 0
% 1.09/0.77 % Result found by new_bool_8
% 1.09/0.77 % partial match(2): HSLMSMSSSSLCHSA
% 1.09/0.77 % Preprocessing class: HMLMSLSSSSLCHSA.
% 1.09/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.77 % Starting pre_casc_6 with 1500s (5) cores
% 1.09/0.77 % Starting ehoh_best7 with 300s (1) cores
% 1.09/0.77 % Starting new_bool_8 with 300s (1) cores
% 1.09/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 1.09/0.77 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 1.09/0.77 % Search class: HGHSM-FSLM32-MHSFFSBN
% 1.09/0.77 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.77 % Starting SubtermCWHack with 28s (1) cores
% 1.09/0.77 % SubtermCWHack with pid 975660 completed with status 0
% 1.09/0.77 % Result found by SubtermCWHack
% 1.09/0.77 % partial match(2): HSLMSMSSSSLCHSA
% 1.09/0.77 % Preprocessing class: HMLMSLSSSSLCHSA.
% 1.09/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.77 % Starting pre_casc_6 with 1500s (5) cores
% 1.09/0.77 % Starting ehoh_best7 with 300s (1) cores
% 1.09/0.77 % Starting new_bool_8 with 300s (1) cores
% 1.09/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 1.09/0.77 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 1.09/0.77 % Search class: HGHSM-FSLM32-MHSFFSBN
% 1.09/0.77 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.77 % Starting SubtermCWHack with 28s (1) cores
% 1.09/0.77 % Preprocessing time : 0.008 s
% 1.09/0.77
% 1.09/0.77 % Proof found!
% 1.09/0.77 % SZS status Theorem
% 1.09/0.77 % SZS output start CNFRefutation
% 1.09/0.77 thf(decl_sort1, type, pname: $tType).
% 1.09/0.77 thf(decl_sort2, type, hoare_1708887482_state: $tType).
% 1.09/0.77 thf(decl_sort3, type, com: $tType).
% 1.09/0.77 thf(decl_sort4, type, option_com: $tType).
% 1.09/0.77 thf(decl_25, type, wt: com > $o).
% 1.09/0.77 thf(decl_26, type, wT_bodies: $o).
% 1.09/0.77 thf(decl_27, type, body: pname > option_com).
% 1.09/0.77 thf(decl_28, type, body_1: pname > com).
% 1.09/0.77 thf(decl_88, type, hoare_Mirabelle_MGT: com > hoare_1708887482_state).
% 1.09/0.77 thf(decl_89, type, hoare_90032982_state: (hoare_1708887482_state > $o) > (hoare_1708887482_state > $o) > $o).
% 1.09/0.77 thf(decl_91, type, hoare_1160767572gleton: $o).
% 1.09/0.77 thf(decl_108, type, dom_pname_com: (pname > option_com) > pname > $o).
% 1.09/0.77 thf(decl_121, type, some_com: com > option_com).
% 1.09/0.77 thf(decl_127, type, the_com: option_com > com).
% 1.09/0.77 thf(decl_134, type, bot_bo19817387tate_o: hoare_1708887482_state > $o).
% 1.09/0.77 thf(decl_168, type, image_1116629049_state: (pname > hoare_1708887482_state) > (pname > $o) > hoare_1708887482_state > $o).
% 1.09/0.77 thf(decl_179, type, insert528405184_state: hoare_1708887482_state > (hoare_1708887482_state > $o) > hoare_1708887482_state > $o).
% 1.09/0.77 thf(decl_197, type, pn: pname).
% 1.09/0.77 thf(decl_198, type, y: com).
% 1.09/0.77 thf(decl_300, type, esk64_0: pname > hoare_1708887482_state).
% 1.09/0.77 thf(decl_301, type, esk65_0: pname > hoare_1708887482_state).
% 1.09/0.77 thf(fact_297_WT__bodiesD, axiom, ![X19:pname, X707:com]:(((wT_bodies)=>(((body @ X19)=(some_com @ X707))=>(wt @ X707)))), file('/export/starexec/sandbox2/tmp/tmp.oclVmPgstX/E---3.1_975546.p', fact_297_WT__bodiesD)).
% 1.09/0.77 thf(fact_374_the_Osimps, axiom, ![X948:com]:(((the_com @ (some_com @ X948))=(X948))), file('/export/starexec/sandbox2/tmp/tmp.oclVmPgstX/E---3.1_975546.p', fact_374_the_Osimps)).
% 1.09/0.77 thf(conj_1, hypothesis, (wT_bodies), file('/export/starexec/sandbox2/tmp/tmp.oclVmPgstX/E---3.1_975546.p', conj_1)).
% 1.09/0.77 thf(fact_66_MGF, axiom, ![X153:com]:(((hoare_1160767572gleton)=>((wT_bodies)=>((wt @ X153)=>(hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X153) @ bot_bo19817387tate_o)))))), file('/export/starexec/sandbox2/tmp/tmp.oclVmPgstX/E---3.1_975546.p', fact_66_MGF)).
% 1.09/0.77 thf(conj_5, hypothesis, ((body @ pn)=(some_com @ y)), file('/export/starexec/sandbox2/tmp/tmp.oclVmPgstX/E---3.1_975546.p', conj_5)).
% 1.09/0.77 thf(conj_7, conjecture, (hoare_90032982_state @ (image_1116629049_state @ (^[X887:pname]:(hoare_Mirabelle_MGT @ (body_1 @ X887))) @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)), file('/export/starexec/sandbox2/tmp/tmp.oclVmPgstX/E---3.1_975546.p', conj_7)).
% 1.09/0.77 thf(fact_4_cut, axiom, ![X10:hoare_1708887482_state > $o, X11:hoare_1708887482_state > $o, X12:hoare_1708887482_state > $o]:(((hoare_90032982_state @ X11 @ X12)=>((hoare_90032982_state @ X10 @ X11)=>(hoare_90032982_state @ X10 @ X12)))), file('/export/starexec/sandbox2/tmp/tmp.oclVmPgstX/E---3.1_975546.p', fact_4_cut)).
% 1.09/0.77 thf(fact_0_empty, axiom, ![X1:hoare_1708887482_state > $o]:((hoare_90032982_state @ X1 @ bot_bo19817387tate_o)), file('/export/starexec/sandbox2/tmp/tmp.oclVmPgstX/E---3.1_975546.p', fact_0_empty)).
% 1.09/0.77 thf(conj_0, hypothesis, (hoare_1160767572gleton), file('/export/starexec/sandbox2/tmp/tmp.oclVmPgstX/E---3.1_975546.p', conj_0)).
% 1.09/0.77 thf(c_0_9, plain, ![X4427:pname, X4428:com]:((~(wT_bodies)|(((body @ X4427)!=(some_com @ X4428))|(wt @ X4428)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_WT__bodiesD])])])).
% 1.09/0.77 thf(c_0_10, plain, ![X4648:com]:(((the_com @ (some_com @ X4648))=(X4648))), inference(variable_rename,[status(thm)],[fact_374_the_Osimps])).
% 1.09/0.77 thf(c_0_11, plain, ![X19:pname, X48:com]:(((wt @ X48)|~((wT_bodies))|((body @ X19)!=(some_com @ X48)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 1.09/0.77 thf(c_0_12, hypothesis, (wT_bodies), inference(split_conjunct,[status(thm)],[conj_1])).
% 1.09/0.77 thf(c_0_13, plain, ![X4426:com]:((~(hoare_1160767572gleton)|(~(wT_bodies)|(~(wt @ X4426)|(hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X4426) @ bot_bo19817387tate_o)))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_MGF])])])).
% 1.09/0.77 thf(c_0_14, plain, ![X5773:pname]:(((esk64_0 @ X5773)=(hoare_Mirabelle_MGT @ (the_com @ (body @ X5773))))), inference(variable_rename,[status(thm)],[])).
% 1.09/0.77 thf(c_0_15, plain, ![X48:com]:(((the_com @ (some_com @ X48))=(X48))), inference(split_conjunct,[status(thm)],[c_0_10])).
% 1.09/0.77 thf(c_0_16, hypothesis, ((body @ pn)=(some_com @ y)), inference(split_conjunct,[status(thm)],[conj_5])).
% 1.09/0.77 thf(c_0_17, plain, ![X19:pname, X48:com]:(((wt @ X48)|((body @ X19)!=(some_com @ X48)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 1.09/0.77 thf(c_0_18, negated_conjecture, ~((hoare_90032982_state @ (image_1116629049_state @ (^[X887:pname]:(hoare_Mirabelle_MGT @ (body_1 @ X887))) @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o))), inference(assume_negation,[status(cth)],[conj_7])).
% 1.09/0.77 thf(c_0_19, plain, ![X4683:hoare_1708887482_state > $o, X4684:hoare_1708887482_state > $o, X4685:hoare_1708887482_state > $o]:((~(hoare_90032982_state @ X4684 @ X4685)|(~(hoare_90032982_state @ X4683 @ X4684)|(hoare_90032982_state @ X4683 @ X4685)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])])).
% 1.09/0.77 thf(c_0_20, plain, ![X4674:hoare_1708887482_state > $o]:((hoare_90032982_state @ X4674 @ bot_bo19817387tate_o)), inference(variable_rename,[status(thm)],[fact_0_empty])).
% 1.09/0.77 thf(c_0_21, plain, ![X48:com]:(((hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X48) @ bot_bo19817387tate_o))|~((hoare_1160767572gleton))|~((wT_bodies))|~((wt @ X48)))), inference(split_conjunct,[status(thm)],[c_0_13])).
% 1.09/0.77 thf(c_0_22, hypothesis, (hoare_1160767572gleton), inference(split_conjunct,[status(thm)],[conj_0])).
% 1.09/0.77 thf(c_0_23, plain, ![X19:pname]:(((esk64_0 @ X19)=(hoare_Mirabelle_MGT @ (the_com @ (body @ X19))))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 1.09/0.77 thf(c_0_24, hypothesis, ((the_com @ (body @ pn))=(y)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 1.09/0.77 thf(c_0_25, hypothesis, ![X19:pname]:(((wt @ y)|((body @ X19)!=(body @ pn)))), inference(spm,[status(thm)],[c_0_17, c_0_16])).
% 1.09/0.77 thf(c_0_26, negated_conjecture, ~(hoare_90032982_state @ (image_1116629049_state @ (^[Z0:pname]:(hoare_Mirabelle_MGT @ (body_1 @ Z0))) @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_18])])).
% 1.09/0.77 thf(c_0_27, plain, ![X3:hoare_1708887482_state > $o, X2:hoare_1708887482_state > $o, X1:hoare_1708887482_state > $o]:(((hoare_90032982_state @ X3 @ X2)|~((hoare_90032982_state @ X1 @ X2))|~((hoare_90032982_state @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 1.09/0.77 thf(c_0_28, plain, ![X1:hoare_1708887482_state > $o]:((hoare_90032982_state @ X1 @ bot_bo19817387tate_o)), inference(split_conjunct,[status(thm)],[c_0_20])).
% 1.09/0.77 thf(c_0_29, plain, ![X48:com]:(((hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (hoare_Mirabelle_MGT @ X48) @ bot_bo19817387tate_o))|~((wt @ X48)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_12]), c_0_22])])).
% 1.09/0.77 thf(c_0_30, hypothesis, ((hoare_Mirabelle_MGT @ y)=(esk64_0 @ pn)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 1.09/0.77 thf(c_0_31, hypothesis, (wt @ y), inference(er,[status(thm)],[c_0_25])).
% 1.09/0.77 thf(c_0_32, negated_conjecture, ~(hoare_90032982_state @ (image_1116629049_state @ (^[Z0:pname]:(hoare_Mirabelle_MGT @ (body_1 @ Z0))) @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)), inference(fof_nnf,[status(thm)],[c_0_26])).
% 1.09/0.77 thf(c_0_33, plain, ![X5708:pname]:(((esk65_0 @ X5708)=(hoare_Mirabelle_MGT @ (body_1 @ X5708)))), introduced(definition)).
% 1.09/0.77 thf(c_0_34, plain, ![X1:hoare_1708887482_state > $o, X2:hoare_1708887482_state > $o]:(((hoare_90032982_state @ X1 @ X2)|~((hoare_90032982_state @ bot_bo19817387tate_o @ X2)))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 1.09/0.77 thf(c_0_35, hypothesis, (hoare_90032982_state @ bot_bo19817387tate_o @ (insert528405184_state @ (esk64_0 @ pn) @ bot_bo19817387tate_o)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])])).
% 1.09/0.77 thf(c_0_36, negated_conjecture, ~((((hoare_90032982_state @ (image_1116629049_state @ esk65_0 @ (dom_pname_com @ body)) @ (insert528405184_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo19817387tate_o)))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_32]), c_0_33])).
% 1.09/0.77 thf(c_0_37, hypothesis, ![X1:hoare_1708887482_state > $o]:((hoare_90032982_state @ X1 @ (insert528405184_state @ (esk64_0 @ pn) @ bot_bo19817387tate_o))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 1.09/0.77 thf(c_0_38, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_36]), c_0_30]), c_0_37])]), ['proof']).
% 1.09/0.77 % SZS output end CNFRefutation
% 1.09/0.77 % Parsed axioms : 1408
% 1.09/0.77 % Removed by relevancy pruning/SinE : 940
% 1.09/0.77 % Initial clauses : 714
% 1.09/0.77 % Removed in clause preprocessing : 19
% 1.09/0.77 % Initial clauses in saturation : 695
% 1.09/0.77 % Processed clauses : 3344
% 1.09/0.77 % ...of these trivial : 144
% 1.09/0.77 % ...subsumed : 2251
% 1.09/0.77 % ...remaining for further processing : 948
% 1.09/0.77 % Other redundant clauses eliminated : 114
% 1.09/0.77 % Clauses deleted for lack of memory : 0
% 1.09/0.77 % Backward-subsumed : 8
% 1.09/0.77 % Backward-rewritten : 26
% 1.09/0.77 % Generated clauses : 14934
% 1.09/0.77 % ...of the previous two non-redundant : 12224
% 1.09/0.77 % ...aggressively subsumed : 0
% 1.09/0.77 % Contextual simplify-reflections : 0
% 1.09/0.77 % Paramodulations : 14574
% 1.09/0.77 % Factorizations : 0
% 1.09/0.77 % NegExts : 0
% 1.09/0.77 % Equation resolutions : 123
% 1.09/0.77 % Disequality decompositions : 0
% 1.09/0.77 % Total rewrite steps : 4806
% 1.09/0.77 % ...of those cached : 4153
% 1.09/0.77 % Propositional unsat checks : 0
% 1.09/0.77 % Propositional check models : 0
% 1.09/0.77 % Propositional check unsatisfiable : 0
% 1.09/0.77 % Propositional clauses : 0
% 1.09/0.77 % Propositional clauses after purity: 0
% 1.09/0.77 % Propositional unsat core size : 0
% 1.09/0.77 % Propositional preprocessing time : 0.000
% 1.09/0.77 % Propositional encoding time : 0.000
% 1.09/0.77 % Propositional solver time : 0.000
% 1.09/0.77 % Success case prop preproc time : 0.000
% 1.09/0.77 % Success case prop encoding time : 0.000
% 1.09/0.77 % Success case prop solver time : 0.000
% 1.09/0.77 % Current number of processed clauses : 834
% 1.09/0.77 % Positive orientable unit clauses : 176
% 1.09/0.77 % Positive unorientable unit clauses: 7
% 1.09/0.77 % Negative unit clauses : 29
% 1.09/0.77 % Non-unit-clauses : 622
% 1.09/0.77 % Current number of unprocessed clauses: 9477
% 1.09/0.77 % ...number of literals in the above : 21346
% 1.09/0.77 % Current number of archived formulas : 0
% 1.09/0.77 % Current number of archived clauses : 62
% 1.09/0.77 % Clause-clause subsumption calls (NU) : 98610
% 1.09/0.77 % Rec. Clause-clause subsumption calls : 78351
% 1.09/0.77 % Non-unit clause-clause subsumptions : 1988
% 1.09/0.77 % Unit Clause-clause subsumption calls : 1855
% 1.09/0.77 % Rewrite failures with RHS unbound : 0
% 1.09/0.77 % BW rewrite match attempts : 317
% 1.09/0.77 % BW rewrite match successes : 64
% 1.09/0.77 % Condensation attempts : 0
% 1.09/0.77 % Condensation successes : 0
% 1.09/0.77 % Termbank termtop insertions : 193107
% 1.09/0.77 % Search garbage collected termcells : 23526
% 1.09/0.77
% 1.09/0.77 % -------------------------------------------------
% 1.09/0.77 % User time : 0.219 s
% 1.09/0.77 % System time : 0.026 s
% 1.09/0.77 % Total time : 0.245 s
% 1.09/0.77 % Maximum resident set size: 9940 pages
% 1.09/0.77
% 1.09/0.77 % -------------------------------------------------
% 1.09/0.77 % User time : 0.282 s
% 1.09/0.77 % System time : 0.038 s
% 1.09/0.77 % Total time : 0.319 s
% 1.09/0.77 % Maximum resident set size: 8448 pages
% 1.09/0.77 % E exiting
%------------------------------------------------------------------------------