%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW474^1 : 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 : n010.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 08:40:11 AM UTC 2026
% Result : Theorem 0.50s 0.61s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW474^1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n010.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Tue Sep 29 16:06:18 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.32 Running higher-order theorem proving
% 0.23/0.37 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.eakXNTO8mz/E---3.1_3050671.p
% 0.50/0.61 % Version: 3.5.1-ho
% 0.50/0.61 % partial match(1): HSLSSMSSSSLNHSA
% 0.50/0.61 % Preprocessing class: HSLSSLSSSSLNHSA.
% 0.50/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.61 % Starting pre_casc_6 with 1200s (4) cores
% 0.50/0.61 % Starting sh4 with 600s (2) cores
% 0.50/0.61 % Starting pre_casc_4 with 300s (1) cores
% 0.50/0.61 % Starting full_lambda_7 with 300s (1) cores
% 0.50/0.61 % full_lambda_7 with pid 3050687 completed with status 0
% 0.50/0.61 % Result found by full_lambda_7
% 0.50/0.61 % partial match(1): HSLSSMSSSSLNHSA
% 0.50/0.61 % Preprocessing class: HSLSSLSSSSLNHSA.
% 0.50/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.61 % Starting pre_casc_6 with 1200s (4) cores
% 0.50/0.61 % Starting sh4 with 600s (2) cores
% 0.50/0.61 % Starting pre_casc_4 with 300s (1) cores
% 0.50/0.61 % Starting full_lambda_7 with 300s (1) cores
% 0.50/0.61 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.50/0.61 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.50/0.61 % Search class: HGHSM-FSLM31-MHSFFSBN
% 0.50/0.61 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.50/0.61 % Starting SubtermCWHack with 28s (1) cores
% 0.50/0.61 % SubtermCWHack with pid 3050693 completed with status 0
% 0.50/0.61 % Result found by SubtermCWHack
% 0.50/0.61 % partial match(1): HSLSSMSSSSLNHSA
% 0.50/0.61 % Preprocessing class: HSLSSLSSSSLNHSA.
% 0.50/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.61 % Starting pre_casc_6 with 1200s (4) cores
% 0.50/0.61 % Starting sh4 with 600s (2) cores
% 0.50/0.61 % Starting pre_casc_4 with 300s (1) cores
% 0.50/0.61 % Starting full_lambda_7 with 300s (1) cores
% 0.50/0.61 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.50/0.61 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.50/0.61 % Search class: HGHSM-FSLM31-MHSFFSBN
% 0.50/0.61 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.50/0.61 % Starting SubtermCWHack with 28s (1) cores
% 0.50/0.61 % Preprocessing time : 0.005 s
% 0.50/0.61
% 0.50/0.61 % Proof found!
% 0.50/0.61 % SZS status Theorem
% 0.50/0.61 % SZS output start CNFRefutation
% 0.50/0.61 thf(decl_sort1, type, com: $tType).
% 0.50/0.61 thf(decl_sort2, type, pname: $tType).
% 0.50/0.61 thf(decl_sort3, type, option_com: $tType).
% 0.50/0.61 thf(decl_sort4, type, hoare_1262092251_state: $tType).
% 0.50/0.61 thf(decl_23, type, wt: com > $o).
% 0.50/0.61 thf(decl_24, type, wT_bodies: $o).
% 0.50/0.61 thf(decl_25, type, body: pname > option_com).
% 0.50/0.61 thf(decl_26, type, body_1: pname > com).
% 0.50/0.61 thf(decl_35, type, hoare_Mirabelle_MGT: com > hoare_1262092251_state).
% 0.50/0.61 thf(decl_36, type, hoare_930741239_state: (hoare_1262092251_state > $o) > (hoare_1262092251_state > $o) > $o).
% 0.50/0.61 thf(decl_37, type, hoare_1821564147gleton: $o).
% 0.50/0.61 thf(decl_40, type, dom_pname_com: (pname > option_com) > pname > $o).
% 0.50/0.61 thf(decl_41, type, some_com: com > option_com).
% 0.50/0.61 thf(decl_48, type, bot_bo113204042tate_o: hoare_1262092251_state > $o).
% 0.50/0.61 thf(decl_62, type, collec1121927558_state: (hoare_1262092251_state > $o) > hoare_1262092251_state > $o).
% 0.50/0.61 thf(decl_76, type, image_669833818_state: (pname > hoare_1262092251_state) > (pname > $o) > hoare_1262092251_state > $o).
% 0.50/0.61 thf(decl_87, type, insert81609953_state: hoare_1262092251_state > (hoare_1262092251_state > $o) > hoare_1262092251_state > $o).
% 0.50/0.61 thf(decl_97, type, pn: pname).
% 0.50/0.61 thf(decl_98, type, y: com).
% 0.50/0.61 thf(decl_130, type, esk18_0: pname > hoare_1262092251_state).
% 0.50/0.61 thf(decl_147, type, epred30_0: hoare_1262092251_state > $o).
% 0.50/0.61 thf(fact_166_empty__def, axiom, ((bot_bo113204042tate_o)=(collec1121927558_state @ (^[X364:hoare_1262092251_state]:(~($true))))), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', fact_166_empty__def)).
% 0.50/0.61 thf(fact_255_Collect__def, axiom, ![X574:hoare_1262092251_state > $o]:(((collec1121927558_state @ X574)=(X574))), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', fact_255_Collect__def)).
% 0.50/0.61 thf(conj_7, conjecture, (hoare_930741239_state @ (image_669833818_state @ (^[X705:pname]:(hoare_Mirabelle_MGT @ (body_1 @ X705))) @ (dom_pname_com @ body)) @ (insert81609953_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo113204042tate_o)), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', conj_7)).
% 0.50/0.61 thf(fact_0_empty, axiom, ![X1:hoare_1262092251_state > $o]:((hoare_930741239_state @ X1 @ bot_bo113204042tate_o)), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', fact_0_empty)).
% 0.50/0.61 thf(fact_288_WT__bodiesD, axiom, ![X19:pname, X654:com]:(((wT_bodies)=>(((body @ X19)=(some_com @ X654))=>(wt @ X654)))), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', fact_288_WT__bodiesD)).
% 0.50/0.61 thf(fact_4_cut, axiom, ![X10:hoare_1262092251_state > $o, X11:hoare_1262092251_state > $o, X12:hoare_1262092251_state > $o]:(((hoare_930741239_state @ X11 @ X12)=>((hoare_930741239_state @ X10 @ X11)=>(hoare_930741239_state @ X10 @ X12)))), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', fact_4_cut)).
% 0.50/0.61 thf(fact_103_MGF, axiom, ![X225:com]:(((hoare_1821564147gleton)=>((wT_bodies)=>((wt @ X225)=>(hoare_930741239_state @ bot_bo113204042tate_o @ (insert81609953_state @ (hoare_Mirabelle_MGT @ X225) @ bot_bo113204042tate_o)))))), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', fact_103_MGF)).
% 0.50/0.61 thf(conj_1, hypothesis, (wT_bodies), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', conj_1)).
% 0.50/0.61 thf(conj_0, hypothesis, (hoare_1821564147gleton), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', conj_0)).
% 0.50/0.61 thf(conj_5, hypothesis, ((body @ pn)=(some_com @ y)), file('/export/starexec/sandbox2/tmp/tmp.eakXNTO8mz/E---3.1_3050671.p', conj_5)).
% 0.50/0.61 thf(c_0_10, plain, ((bot_bo113204042tate_o)=(collec1121927558_state @ (^[Z0:hoare_1262092251_state]:(~($true))))), inference(fof_simplification,[status(thm)],[fact_166_empty__def])).
% 0.50/0.61 thf(c_0_11, plain, ![X1668:hoare_1262092251_state]:(((epred30_0 @ X1668)<=>~(($true)))), introduced(definition)).
% 0.50/0.61 thf(c_0_12, plain, ![X1494:hoare_1262092251_state > $o]:(((collec1121927558_state @ X1494)=(X1494))), inference(variable_rename,[status(thm)],[fact_255_Collect__def])).
% 0.50/0.61 thf(c_0_13, negated_conjecture, ~((hoare_930741239_state @ (image_669833818_state @ (^[X705:pname]:(hoare_Mirabelle_MGT @ (body_1 @ X705))) @ (dom_pname_com @ body)) @ (insert81609953_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo113204042tate_o))), inference(assume_negation,[status(cth)],[conj_7])).
% 0.50/0.61 thf(c_0_14, plain, ![X1341:hoare_1262092251_state > $o]:((hoare_930741239_state @ X1341 @ bot_bo113204042tate_o)), inference(variable_rename,[status(thm)],[fact_0_empty])).
% 0.50/0.61 thf(c_0_15, plain, ((bot_bo113204042tate_o)=(collec1121927558_state @ epred30_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10]), c_0_11])).
% 0.50/0.61 thf(c_0_16, plain, ![X1:hoare_1262092251_state > $o]:(((collec1121927558_state @ X1)=(X1))), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.50/0.61 thf(c_0_17, plain, ![X1156:pname, X1157:com]:((~(wT_bodies)|(((body @ X1156)!=(some_com @ X1157))|(wt @ X1157)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_WT__bodiesD])])])).
% 0.50/0.61 thf(c_0_18, negated_conjecture, ~(hoare_930741239_state @ (image_669833818_state @ (^[Z0:pname]:(hoare_Mirabelle_MGT @ (body_1 @ Z0))) @ (dom_pname_com @ body)) @ (insert81609953_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo113204042tate_o)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_13])])).
% 0.50/0.61 thf(c_0_19, plain, ![X1342:hoare_1262092251_state > $o, X1343:hoare_1262092251_state > $o, X1344:hoare_1262092251_state > $o]:((~(hoare_930741239_state @ X1343 @ X1344)|(~(hoare_930741239_state @ X1342 @ X1343)|(hoare_930741239_state @ X1342 @ X1344)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])])).
% 0.50/0.61 thf(c_0_20, plain, ![X1:hoare_1262092251_state > $o]:((hoare_930741239_state @ X1 @ bot_bo113204042tate_o)), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.50/0.61 thf(c_0_21, plain, ((bot_bo113204042tate_o)=(epred30_0)), inference(rw,[status(thm)],[c_0_15, c_0_16])).
% 0.50/0.61 thf(c_0_22, plain, ![X1152:com]:((~(hoare_1821564147gleton)|(~(wT_bodies)|(~(wt @ X1152)|(hoare_930741239_state @ bot_bo113204042tate_o @ (insert81609953_state @ (hoare_Mirabelle_MGT @ X1152) @ bot_bo113204042tate_o)))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_MGF])])])).
% 0.50/0.61 thf(c_0_23, plain, ![X19:pname, X164:com]:(((wt @ X164)|~((wT_bodies))|((body @ X19)!=(some_com @ X164)))), inference(split_conjunct,[status(thm)],[c_0_17])).
% 0.50/0.61 thf(c_0_24, hypothesis, (wT_bodies), inference(split_conjunct,[status(thm)],[conj_1])).
% 0.50/0.61 thf(c_0_25, negated_conjecture, ~(hoare_930741239_state @ (image_669833818_state @ (^[Z0:pname]:(hoare_Mirabelle_MGT @ (body_1 @ Z0))) @ (dom_pname_com @ body)) @ (insert81609953_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo113204042tate_o)), inference(fof_nnf,[status(thm)],[c_0_18])).
% 0.50/0.61 thf(c_0_26, plain, ![X1635:pname]:(((esk18_0 @ X1635)=(hoare_Mirabelle_MGT @ (body_1 @ X1635)))), introduced(definition)).
% 0.50/0.61 thf(c_0_27, plain, ![X3:hoare_1262092251_state > $o, X2:hoare_1262092251_state > $o, X1:hoare_1262092251_state > $o]:(((hoare_930741239_state @ X3 @ X2)|~((hoare_930741239_state @ X1 @ X2))|~((hoare_930741239_state @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.50/0.61 thf(c_0_28, plain, ![X1:hoare_1262092251_state > $o]:((hoare_930741239_state @ X1 @ epred30_0)), inference(rw,[status(thm)],[c_0_20, c_0_21])).
% 0.50/0.61 thf(c_0_29, plain, ![X164:com]:(((hoare_930741239_state @ bot_bo113204042tate_o @ (insert81609953_state @ (hoare_Mirabelle_MGT @ X164) @ bot_bo113204042tate_o))|~((hoare_1821564147gleton))|~((wT_bodies))|~((wt @ X164)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 0.50/0.61 thf(c_0_30, hypothesis, (hoare_1821564147gleton), inference(split_conjunct,[status(thm)],[conj_0])).
% 0.50/0.61 thf(c_0_31, plain, ![X19:pname, X164:com]:(((wt @ X164)|((body @ X19)!=(some_com @ X164)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 0.50/0.61 thf(c_0_32, hypothesis, ((body @ pn)=(some_com @ y)), inference(split_conjunct,[status(thm)],[conj_5])).
% 0.50/0.61 thf(c_0_33, negated_conjecture, ~((((hoare_930741239_state @ (image_669833818_state @ esk18_0 @ (dom_pname_com @ body)) @ (insert81609953_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo113204042tate_o)))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_25]), c_0_26])).
% 0.50/0.61 thf(c_0_34, plain, ![X1:hoare_1262092251_state > $o, X2:hoare_1262092251_state > $o]:(((hoare_930741239_state @ X1 @ X2)|~((hoare_930741239_state @ epred30_0 @ X2)))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 0.50/0.61 thf(c_0_35, plain, ![X164:com]:(((hoare_930741239_state @ epred30_0 @ (insert81609953_state @ (hoare_Mirabelle_MGT @ X164) @ epred30_0))|~((wt @ X164)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_21]), c_0_21]), c_0_24]), c_0_30])])).
% 0.50/0.61 thf(c_0_36, hypothesis, ![X19:pname]:(((wt @ y)|((body @ X19)!=(body @ pn)))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 0.50/0.61 thf(c_0_37, negated_conjecture, ~((hoare_930741239_state @ (image_669833818_state @ esk18_0 @ (dom_pname_com @ body)) @ (insert81609953_state @ (hoare_Mirabelle_MGT @ y) @ epred30_0))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_33]), c_0_21])).
% 0.50/0.61 thf(c_0_38, plain, ![X1:hoare_1262092251_state > $o, X164:com]:(((hoare_930741239_state @ X1 @ (insert81609953_state @ (hoare_Mirabelle_MGT @ X164) @ epred30_0))|~((wt @ X164)))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 0.50/0.61 thf(c_0_39, hypothesis, (wt @ y), inference(er,[status(thm)],[c_0_36])).
% 0.50/0.61 thf(c_0_40, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])]), ['proof']).
% 0.50/0.61 % SZS output end CNFRefutation
% 0.50/0.61 % Parsed axioms : 396
% 0.50/0.61 % Removed by relevancy pruning/SinE : 183
% 0.50/0.61 % Initial clauses : 420
% 0.50/0.61 % Removed in clause preprocessing : 9
% 0.50/0.61 % Initial clauses in saturation : 411
% 0.50/0.61 % Processed clauses : 1903
% 0.50/0.61 % ...of these trivial : 312
% 0.50/0.61 % ...subsumed : 766
% 0.50/0.61 % ...remaining for further processing : 825
% 0.50/0.61 % Other redundant clauses eliminated : 81
% 0.50/0.61 % Clauses deleted for lack of memory : 0
% 0.50/0.61 % Backward-subsumed : 4
% 0.50/0.61 % Backward-rewritten : 31
% 0.50/0.61 % Generated clauses : 5673
% 0.50/0.61 % ...of the previous two non-redundant : 4186
% 0.50/0.61 % ...aggressively subsumed : 0
% 0.50/0.61 % Contextual simplify-reflections : 0
% 0.50/0.61 % Paramodulations : 5382
% 0.50/0.61 % Factorizations : 0
% 0.50/0.61 % NegExts : 0
% 0.50/0.61 % Equation resolutions : 91
% 0.50/0.61 % Disequality decompositions : 0
% 0.50/0.61 % Total rewrite steps : 4131
% 0.50/0.61 % ...of those cached : 3629
% 0.50/0.61 % Propositional unsat checks : 0
% 0.50/0.61 % Propositional check models : 0
% 0.50/0.61 % Propositional check unsatisfiable : 0
% 0.50/0.61 % Propositional clauses : 0
% 0.50/0.61 % Propositional clauses after purity: 0
% 0.50/0.61 % Propositional unsat core size : 0
% 0.50/0.61 % Propositional preprocessing time : 0.000
% 0.50/0.61 % Propositional encoding time : 0.000
% 0.50/0.61 % Propositional solver time : 0.000
% 0.50/0.61 % Success case prop preproc time : 0.000
% 0.50/0.61 % Success case prop encoding time : 0.000
% 0.50/0.61 % Success case prop solver time : 0.000
% 0.50/0.61 % Current number of processed clauses : 684
% 0.50/0.61 % Positive orientable unit clauses : 221
% 0.50/0.61 % Positive unorientable unit clauses: 3
% 0.50/0.61 % Negative unit clauses : 26
% 0.50/0.61 % Non-unit-clauses : 434
% 0.50/0.61 % Current number of unprocessed clauses: 2667
% 0.50/0.61 % ...number of literals in the above : 5681
% 0.50/0.61 % Current number of archived formulas : 0
% 0.50/0.61 % Current number of archived clauses : 72
% 0.50/0.61 % Clause-clause subsumption calls (NU) : 53337
% 0.50/0.61 % Rec. Clause-clause subsumption calls : 41173
% 0.50/0.61 % Non-unit clause-clause subsumptions : 653
% 0.50/0.61 % Unit Clause-clause subsumption calls : 7019
% 0.50/0.61 % Rewrite failures with RHS unbound : 0
% 0.50/0.61 % BW rewrite match attempts : 369
% 0.50/0.61 % BW rewrite match successes : 36
% 0.50/0.61 % Condensation attempts : 0
% 0.50/0.61 % Condensation successes : 0
% 0.50/0.61 % Termbank termtop insertions : 92108
% 0.50/0.61 % Search garbage collected termcells : 9197
% 0.50/0.61
% 0.50/0.61 % -------------------------------------------------
% 0.50/0.61 % User time : 0.157 s
% 0.50/0.61 % System time : 0.015 s
% 0.50/0.61 % Total time : 0.172 s
% 0.50/0.61 % Maximum resident set size: 5804 pages
% 0.50/0.61
% 0.50/0.61 % -------------------------------------------------
% 0.50/0.61 % User time : 0.177 s
% 0.50/0.61 % System time : 0.026 s
% 0.50/0.61 % Total time : 0.203 s
% 0.50/0.61 % Maximum resident set size: 5632 pages
% 0.50/0.61 % E exiting
%------------------------------------------------------------------------------