%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW474^2 : 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 : n013.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 08:40:12 AM UTC 2026
% Result : Theorem 2.06s 0.73s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW474^2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n013.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 16:05:36 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.20/0.32 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.td3eZvw50r/E---3.1_2298165.p
% 2.06/0.73 % Version: 3.5.1-ho
% 2.06/0.73 % partial match(1): HSLMSMSSSSLCHSA
% 2.06/0.73 % Preprocessing class: HSLMSLSSSSLCHSA.
% 2.06/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.06/0.73 % Starting pre_casc_6 with 1500s (5) cores
% 2.06/0.73 % Starting ehoh_best7 with 300s (1) cores
% 2.06/0.73 % Starting new_bool_8 with 300s (1) cores
% 2.06/0.73 % Starting new_ho_11 with 300s (1) cores
% 2.06/0.73 % new_bool_8 with pid 2298180 completed with status 0
% 2.06/0.73 % Result found by new_bool_8
% 2.06/0.73 % partial match(1): HSLMSMSSSSLCHSA
% 2.06/0.73 % Preprocessing class: HSLMSLSSSSLCHSA.
% 2.06/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.06/0.73 % Starting pre_casc_6 with 1500s (5) cores
% 2.06/0.73 % Starting ehoh_best7 with 300s (1) cores
% 2.06/0.73 % Starting new_bool_8 with 300s (1) cores
% 2.06/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 2.06/0.73 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 2.06/0.73 % Search class: HGHSM-FSLM32-MHSFFSBN
% 2.06/0.73 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.06/0.73 % Starting SubtermCWHack with 28s (1) cores
% 2.06/0.73 % SubtermCWHack with pid 2298182 completed with status 0
% 2.06/0.73 % Result found by SubtermCWHack
% 2.06/0.73 % partial match(1): HSLMSMSSSSLCHSA
% 2.06/0.73 % Preprocessing class: HSLMSLSSSSLCHSA.
% 2.06/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.06/0.73 % Starting pre_casc_6 with 1500s (5) cores
% 2.06/0.73 % Starting ehoh_best7 with 300s (1) cores
% 2.06/0.73 % Starting new_bool_8 with 300s (1) cores
% 2.06/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 2.06/0.73 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 2.06/0.73 % Search class: HGHSM-FSLM32-MHSFFSBN
% 2.06/0.73 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.06/0.73 % Starting SubtermCWHack with 28s (1) cores
% 2.06/0.73 % Preprocessing time : 0.009 s
% 2.06/0.73
% 2.06/0.73 % Proof found!
% 2.06/0.73 % SZS status Theorem
% 2.06/0.73 % SZS output start CNFRefutation
% 2.06/0.73 thf(decl_sort1, type, com: $tType).
% 2.06/0.73 thf(decl_sort2, type, pname: $tType).
% 2.06/0.73 thf(decl_sort3, type, option_com: $tType).
% 2.06/0.73 thf(decl_sort4, type, hoare_1167836817_state: $tType).
% 2.06/0.73 thf(decl_23, type, wt: com > $o).
% 2.06/0.73 thf(decl_24, type, wT_bodies: $o).
% 2.06/0.73 thf(decl_25, type, body: pname > option_com).
% 2.06/0.73 thf(decl_26, type, body_1: pname > com).
% 2.06/0.73 thf(decl_50, type, hoare_Mirabelle_MGT: com > hoare_1167836817_state).
% 2.06/0.73 thf(decl_51, type, hoare_123228589_state: (hoare_1167836817_state > $o) > (hoare_1167836817_state > $o) > $o).
% 2.06/0.73 thf(decl_53, type, hoare_1201148605gleton: $o).
% 2.06/0.73 thf(decl_66, type, dom_pname_com: (pname > option_com) > pname > $o).
% 2.06/0.73 thf(decl_68, type, some_com: com > option_com).
% 2.06/0.73 thf(decl_74, type, the_com: option_com > com).
% 2.06/0.73 thf(decl_79, type, bot_bo70021908tate_o: hoare_1167836817_state > $o).
% 2.06/0.73 thf(decl_101, type, image_575578384_state: (pname > hoare_1167836817_state) > (pname > $o) > hoare_1167836817_state > $o).
% 2.06/0.73 thf(decl_110, type, insert2134838167_state: hoare_1167836817_state > (hoare_1167836817_state > $o) > hoare_1167836817_state > $o).
% 2.06/0.73 thf(decl_124, type, pn: pname).
% 2.06/0.73 thf(decl_125, type, y: com).
% 2.06/0.73 thf(decl_212, type, esk55_0: pname > hoare_1167836817_state).
% 2.06/0.73 thf(decl_213, type, esk56_0: pname > hoare_1167836817_state).
% 2.06/0.73 thf(fact_215_WT__bodiesD, axiom, ![X19:pname, X500:com]:(((wT_bodies)=>(((body @ X19)=(some_com @ X500))=>(wt @ X500)))), file('/export/starexec/sandbox2/tmp/tmp.td3eZvw50r/E---3.1_2298165.p', fact_215_WT__bodiesD)).
% 2.06/0.73 thf(fact_268_the_Osimps, axiom, ![X668:com]:(((the_com @ (some_com @ X668))=(X668))), file('/export/starexec/sandbox2/tmp/tmp.td3eZvw50r/E---3.1_2298165.p', fact_268_the_Osimps)).
% 2.06/0.73 thf(conj_1, hypothesis, (wT_bodies), file('/export/starexec/sandbox2/tmp/tmp.td3eZvw50r/E---3.1_2298165.p', conj_1)).
% 2.06/0.73 thf(fact_53_MGF, axiom, ![X120:com]:(((hoare_1201148605gleton)=>((wT_bodies)=>((wt @ X120)=>(hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X120) @ bot_bo70021908tate_o)))))), file('/export/starexec/sandbox2/tmp/tmp.td3eZvw50r/E---3.1_2298165.p', fact_53_MGF)).
% 2.06/0.73 thf(conj_5, hypothesis, ((body @ pn)=(some_com @ y)), file('/export/starexec/sandbox2/tmp/tmp.td3eZvw50r/E---3.1_2298165.p', conj_5)).
% 2.06/0.73 thf(conj_7, conjecture, (hoare_123228589_state @ (image_575578384_state @ (^[X646:pname]:(hoare_Mirabelle_MGT @ (body_1 @ X646))) @ (dom_pname_com @ body)) @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o)), file('/export/starexec/sandbox2/tmp/tmp.td3eZvw50r/E---3.1_2298165.p', conj_7)).
% 2.06/0.73 thf(fact_4_cut, axiom, ![X10:hoare_1167836817_state > $o, X11:hoare_1167836817_state > $o, X12:hoare_1167836817_state > $o]:(((hoare_123228589_state @ X11 @ X12)=>((hoare_123228589_state @ X10 @ X11)=>(hoare_123228589_state @ X10 @ X12)))), file('/export/starexec/sandbox2/tmp/tmp.td3eZvw50r/E---3.1_2298165.p', fact_4_cut)).
% 2.06/0.73 thf(fact_0_empty, axiom, ![X1:hoare_1167836817_state > $o]:((hoare_123228589_state @ X1 @ bot_bo70021908tate_o)), file('/export/starexec/sandbox2/tmp/tmp.td3eZvw50r/E---3.1_2298165.p', fact_0_empty)).
% 2.06/0.73 thf(conj_0, hypothesis, (hoare_1201148605gleton), file('/export/starexec/sandbox2/tmp/tmp.td3eZvw50r/E---3.1_2298165.p', conj_0)).
% 2.06/0.73 thf(c_0_9, plain, ![X2988:pname, X2989:com]:((~(wT_bodies)|(((body @ X2988)!=(some_com @ X2989))|(wt @ X2989)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_WT__bodiesD])])])).
% 2.06/0.73 thf(c_0_10, plain, ![X3292:com]:(((the_com @ (some_com @ X3292))=(X3292))), inference(variable_rename,[status(thm)],[fact_268_the_Osimps])).
% 2.06/0.73 thf(c_0_11, plain, ![X19:pname, X85:com]:(((wt @ X85)|~((wT_bodies))|((body @ X19)!=(some_com @ X85)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 2.06/0.73 thf(c_0_12, hypothesis, (wT_bodies), inference(split_conjunct,[status(thm)],[conj_1])).
% 2.06/0.73 thf(c_0_13, plain, ![X2987:com]:((~(hoare_1201148605gleton)|(~(wT_bodies)|(~(wt @ X2987)|(hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X2987) @ bot_bo70021908tate_o)))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_53_MGF])])])).
% 2.06/0.73 thf(c_0_14, plain, ![X4182:pname]:(((esk55_0 @ X4182)=(hoare_Mirabelle_MGT @ (the_com @ (body @ X4182))))), inference(variable_rename,[status(thm)],[])).
% 2.06/0.73 thf(c_0_15, plain, ![X85:com]:(((the_com @ (some_com @ X85))=(X85))), inference(split_conjunct,[status(thm)],[c_0_10])).
% 2.06/0.73 thf(c_0_16, hypothesis, ((body @ pn)=(some_com @ y)), inference(split_conjunct,[status(thm)],[conj_5])).
% 2.06/0.73 thf(c_0_17, plain, ![X19:pname, X85:com]:(((wt @ X85)|((body @ X19)!=(some_com @ X85)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 2.06/0.73 thf(c_0_18, negated_conjecture, ~((hoare_123228589_state @ (image_575578384_state @ (^[X646:pname]:(hoare_Mirabelle_MGT @ (body_1 @ X646))) @ (dom_pname_com @ body)) @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o))), inference(assume_negation,[status(cth)],[conj_7])).
% 2.06/0.73 thf(c_0_19, plain, ![X3327:hoare_1167836817_state > $o, X3328:hoare_1167836817_state > $o, X3329:hoare_1167836817_state > $o]:((~(hoare_123228589_state @ X3328 @ X3329)|(~(hoare_123228589_state @ X3327 @ X3328)|(hoare_123228589_state @ X3327 @ X3329)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])])).
% 2.06/0.73 thf(c_0_20, plain, ![X3318:hoare_1167836817_state > $o]:((hoare_123228589_state @ X3318 @ bot_bo70021908tate_o)), inference(variable_rename,[status(thm)],[fact_0_empty])).
% 2.06/0.73 thf(c_0_21, plain, ![X85:com]:(((hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X85) @ bot_bo70021908tate_o))|~((hoare_1201148605gleton))|~((wT_bodies))|~((wt @ X85)))), inference(split_conjunct,[status(thm)],[c_0_13])).
% 2.06/0.73 thf(c_0_22, hypothesis, (hoare_1201148605gleton), inference(split_conjunct,[status(thm)],[conj_0])).
% 2.06/0.73 thf(c_0_23, plain, ![X19:pname]:(((esk55_0 @ X19)=(hoare_Mirabelle_MGT @ (the_com @ (body @ X19))))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 2.06/0.73 thf(c_0_24, hypothesis, ((the_com @ (body @ pn))=(y)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 2.06/0.73 thf(c_0_25, hypothesis, ![X19:pname]:(((wt @ y)|((body @ X19)!=(body @ pn)))), inference(spm,[status(thm)],[c_0_17, c_0_16])).
% 2.06/0.73 thf(c_0_26, negated_conjecture, ~(hoare_123228589_state @ (image_575578384_state @ (^[Z0:pname]:(hoare_Mirabelle_MGT @ (body_1 @ Z0))) @ (dom_pname_com @ body)) @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_18])])).
% 2.06/0.73 thf(c_0_27, plain, ![X3:hoare_1167836817_state > $o, X2:hoare_1167836817_state > $o, X1:hoare_1167836817_state > $o]:(((hoare_123228589_state @ X3 @ X2)|~((hoare_123228589_state @ X1 @ X2))|~((hoare_123228589_state @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 2.06/0.73 thf(c_0_28, plain, ![X1:hoare_1167836817_state > $o]:((hoare_123228589_state @ X1 @ bot_bo70021908tate_o)), inference(split_conjunct,[status(thm)],[c_0_20])).
% 2.06/0.73 thf(c_0_29, plain, ![X85:com]:(((hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ X85) @ bot_bo70021908tate_o))|~((wt @ X85)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_12]), c_0_22])])).
% 2.06/0.73 thf(c_0_30, hypothesis, ((hoare_Mirabelle_MGT @ y)=(esk55_0 @ pn)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 2.06/0.73 thf(c_0_31, hypothesis, (wt @ y), inference(er,[status(thm)],[c_0_25])).
% 2.06/0.73 thf(c_0_32, negated_conjecture, ~(hoare_123228589_state @ (image_575578384_state @ (^[Z0:pname]:(hoare_Mirabelle_MGT @ (body_1 @ Z0))) @ (dom_pname_com @ body)) @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o)), inference(fof_nnf,[status(thm)],[c_0_26])).
% 2.06/0.73 thf(c_0_33, plain, ![X4134:pname]:(((esk56_0 @ X4134)=(hoare_Mirabelle_MGT @ (body_1 @ X4134)))), introduced(definition)).
% 2.06/0.73 thf(c_0_34, plain, ![X1:hoare_1167836817_state > $o, X2:hoare_1167836817_state > $o]:(((hoare_123228589_state @ X1 @ X2)|~((hoare_123228589_state @ bot_bo70021908tate_o @ X2)))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 2.06/0.73 thf(c_0_35, hypothesis, (hoare_123228589_state @ bot_bo70021908tate_o @ (insert2134838167_state @ (esk55_0 @ pn) @ bot_bo70021908tate_o)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])])).
% 2.06/0.73 thf(c_0_36, negated_conjecture, ~((((hoare_123228589_state @ (image_575578384_state @ esk56_0 @ (dom_pname_com @ body)) @ (insert2134838167_state @ (hoare_Mirabelle_MGT @ y) @ bot_bo70021908tate_o)))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_32]), c_0_33])).
% 2.06/0.73 thf(c_0_37, hypothesis, ![X1:hoare_1167836817_state > $o]:((hoare_123228589_state @ X1 @ (insert2134838167_state @ (esk55_0 @ pn) @ bot_bo70021908tate_o))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 2.06/0.73 thf(c_0_38, negated_conjecture, ($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']).
% 2.06/0.73 % SZS output end CNFRefutation
% 2.06/0.73 % Parsed axioms : 833
% 2.06/0.73 % Removed by relevancy pruning/SinE : 407
% 2.06/0.73 % Initial clauses : 655
% 2.06/0.73 % Removed in clause preprocessing : 19
% 2.06/0.73 % Initial clauses in saturation : 636
% 2.06/0.73 % Processed clauses : 2981
% 2.06/0.73 % ...of these trivial : 106
% 2.06/0.73 % ...subsumed : 1974
% 2.06/0.73 % ...remaining for further processing : 900
% 2.06/0.73 % Other redundant clauses eliminated : 112
% 2.06/0.73 % Clauses deleted for lack of memory : 0
% 2.06/0.73 % Backward-subsumed : 8
% 2.06/0.73 % Backward-rewritten : 27
% 2.06/0.73 % Generated clauses : 13281
% 2.06/0.73 % ...of the previous two non-redundant : 10690
% 2.06/0.73 % ...aggressively subsumed : 0
% 2.06/0.73 % Contextual simplify-reflections : 0
% 2.06/0.73 % Paramodulations : 12937
% 2.06/0.73 % Factorizations : 0
% 2.06/0.73 % NegExts : 0
% 2.06/0.73 % Equation resolutions : 121
% 2.06/0.73 % Disequality decompositions : 0
% 2.06/0.73 % Total rewrite steps : 4412
% 2.06/0.73 % ...of those cached : 3849
% 2.06/0.73 % Propositional unsat checks : 0
% 2.06/0.73 % Propositional check models : 0
% 2.06/0.73 % Propositional check unsatisfiable : 0
% 2.06/0.73 % Propositional clauses : 0
% 2.06/0.73 % Propositional clauses after purity: 0
% 2.06/0.73 % Propositional unsat core size : 0
% 2.06/0.73 % Propositional preprocessing time : 0.000
% 2.06/0.73 % Propositional encoding time : 0.000
% 2.06/0.73 % Propositional solver time : 0.000
% 2.06/0.73 % Success case prop preproc time : 0.000
% 2.06/0.73 % Success case prop encoding time : 0.000
% 2.06/0.73 % Success case prop solver time : 0.000
% 2.06/0.73 % Current number of processed clauses : 785
% 2.06/0.73 % Positive orientable unit clauses : 166
% 2.06/0.73 % Positive unorientable unit clauses: 5
% 2.06/0.73 % Negative unit clauses : 28
% 2.06/0.73 % Non-unit-clauses : 586
% 2.06/0.73 % Current number of unprocessed clauses: 8244
% 2.06/0.73 % ...number of literals in the above : 18777
% 2.06/0.73 % Current number of archived formulas : 0
% 2.06/0.73 % Current number of archived clauses : 63
% 2.06/0.73 % Clause-clause subsumption calls (NU) : 130233
% 2.06/0.73 % Rec. Clause-clause subsumption calls : 96903
% 2.06/0.73 % Non-unit clause-clause subsumptions : 1717
% 2.06/0.73 % Unit Clause-clause subsumption calls : 2976
% 2.06/0.73 % Rewrite failures with RHS unbound : 0
% 2.06/0.73 % BW rewrite match attempts : 358
% 2.06/0.73 % BW rewrite match successes : 51
% 2.06/0.73 % Condensation attempts : 0
% 2.06/0.73 % Condensation successes : 0
% 2.06/0.73 % Termbank termtop insertions : 168136
% 2.06/0.73 % Search garbage collected termcells : 17281
% 2.06/0.73
% 2.06/0.73 % -------------------------------------------------
% 2.06/0.73 % User time : 0.309 s
% 2.06/0.73 % System time : 0.030 s
% 2.06/0.73 % Total time : 0.338 s
% 2.06/0.73 % Maximum resident set size: 7756 pages
% 2.06/0.73
% 2.06/0.73 % -------------------------------------------------
% 2.06/0.73 % User time : 0.343 s
% 2.06/0.73 % System time : 0.037 s
% 2.06/0.73 % Total time : 0.379 s
% 2.06/0.73 % Maximum resident set size: 6912 pages
% 2.06/0.73 % E exiting
%------------------------------------------------------------------------------