%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ090^5 : 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 : n011.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 08:20:33 AM UTC 2026
% Result : Theorem 0.08s 0.27s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ090^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:22:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 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.zpFi4Inarf/E---3.1_77166.p
% 0.08/0.27 % Version: 3.5.1-ho
% 0.08/0.27 % Preprocessing class: HSMSSLSSSSSNFFN.
% 0.08/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.27 % Starting sh5l with 300s (1) cores
% 0.08/0.27 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.27 % Starting new_bool_2 with 300s (1) cores
% 0.08/0.27 % sh5l with pid 77181 completed with status 0
% 0.08/0.27 % Result found by sh5l
% 0.08/0.27 % Preprocessing class: HSMSSLSSSSSNFFN.
% 0.08/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.27 % Starting sh5l with 300s (1) cores
% 0.08/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.27 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.27 % Search class: HGHNF-FFSS00-SFFFFFNN
% 0.08/0.27 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.27 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.27 % SubtermCWHack with pid 77186 completed with status 0
% 0.08/0.27 % Result found by SubtermCWHack
% 0.08/0.27 % Preprocessing class: HSMSSLSSSSSNFFN.
% 0.08/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.27 % Starting sh5l with 300s (1) cores
% 0.08/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.27 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.27 % Search class: HGHNF-FFSS00-SFFFFFNN
% 0.08/0.27 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.27 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.27 % Preprocessing time : 0.001 s
% 0.08/0.27
% 0.08/0.27 % Proof found!
% 0.08/0.27 % SZS status Theorem
% 0.08/0.27 % SZS output start CNFRefutation
% 0.08/0.27 thf(decl_23, type, cOPEN_WINDOW: $o).
% 0.08/0.27 thf(decl_24, type, cEAST: $o).
% 0.08/0.27 thf(decl_25, type, cRHEUMATIC: $o).
% 0.08/0.27 thf(decl_26, type, cFOGGY: $o).
% 0.08/0.27 thf(decl_27, type, cOPEN_DOOR: $o).
% 0.08/0.27 thf(decl_28, type, cFLUTE: $o).
% 0.08/0.27 thf(decl_29, type, cSUNSHINE: $o).
% 0.08/0.27 thf(decl_30, type, cFIRE: $o).
% 0.08/0.27 thf(decl_31, type, cGUSTY: $o).
% 0.08/0.27 thf(decl_32, type, cHEADACHE: $o).
% 0.08/0.27 thf(decl_33, type, cSMOKES: $o).
% 0.08/0.27 thf(decl_34, type, cCOLD: $o).
% 0.08/0.27 thf(decl_35, type, cSMOKE: $o).
% 0.08/0.27 thf(decl_36, type, epred1_0: $o).
% 0.08/0.27 thf(cTHM210, conjecture, (((((((((((((cEAST)=>(cSUNSHINE))&(((cCOLD)&(cFOGGY))=>(cFLUTE)))&(((cFIRE)&(cSMOKE))=>(cOPEN_DOOR)))&(((cCOLD)&(cRHEUMATIC))=>(cFIRE)))&(((cEAST)&(cGUSTY))=>(cSMOKES)))&((cOPEN_DOOR)=>~((cHEADACHE))))&((cFOGGY)=>~((cOPEN_WINDOW))))&(((~((cGUSTY))&(cFIRE))&~((cOPEN_DOOR)))=>~((cRHEUMATIC))))&((cSUNSHINE)=>(cFOGGY)))&((cFLUTE)=>~((cOPEN_DOOR))))&(((cFOGGY)&(cEAST))=>(cRHEUMATIC)))=>((cEAST)=>~((cOPEN_WINDOW)))), file('/export/starexec/sandbox2/tmp/tmp.zpFi4Inarf/E---3.1_77166.p', cTHM210)).
% 0.08/0.27 thf(c_0_1, plain, ((epred1_0)<=>((((((((((((cEAST)=>(cSUNSHINE))&(((cCOLD)&(cFOGGY))=>(cFLUTE)))&(((cFIRE)&(cSMOKE))=>(cOPEN_DOOR)))&(((cCOLD)&(cRHEUMATIC))=>(cFIRE)))&(((cEAST)&(cGUSTY))=>(cSMOKES)))&((cOPEN_DOOR)=>~(cHEADACHE)))&((cFOGGY)=>~(cOPEN_WINDOW)))&(((~(cGUSTY)&(cFIRE))&~(cOPEN_DOOR))=>~(cRHEUMATIC)))&((cSUNSHINE)=>(cFOGGY)))&((cFLUTE)=>~(cOPEN_DOOR)))&(((cFOGGY)&(cEAST))=>(cRHEUMATIC)))), introduced(definition)).
% 0.08/0.27 thf(c_0_2, negated_conjecture, ~((((((((((((((cEAST)=>(cSUNSHINE))&(((cCOLD)&(cFOGGY))=>(cFLUTE)))&(((cFIRE)&(cSMOKE))=>(cOPEN_DOOR)))&(((cCOLD)&(cRHEUMATIC))=>(cFIRE)))&(((cEAST)&(cGUSTY))=>(cSMOKES)))&((cOPEN_DOOR)=>~((cHEADACHE))))&((cFOGGY)=>~((cOPEN_WINDOW))))&(((~((cGUSTY))&(cFIRE))&~((cOPEN_DOOR)))=>~((cRHEUMATIC))))&((cSUNSHINE)=>(cFOGGY)))&((cFLUTE)=>~((cOPEN_DOOR))))&(((cFOGGY)&(cEAST))=>(cRHEUMATIC)))=>((cEAST)=>~((cOPEN_WINDOW))))), inference(assume_negation,[status(cth)],[cTHM210])).
% 0.08/0.27 thf(c_0_3, plain, ((epred1_0)=>((((((((((((cEAST)=>(cSUNSHINE))&(((cCOLD)&(cFOGGY))=>(cFLUTE)))&(((cFIRE)&(cSMOKE))=>(cOPEN_DOOR)))&(((cCOLD)&(cRHEUMATIC))=>(cFIRE)))&(((cEAST)&(cGUSTY))=>(cSMOKES)))&((cOPEN_DOOR)=>~(cHEADACHE)))&((cFOGGY)=>~(cOPEN_WINDOW)))&(((~(cGUSTY)&(cFIRE))&~(cOPEN_DOOR))=>~(cRHEUMATIC)))&((cSUNSHINE)=>(cFOGGY)))&((cFLUTE)=>~(cOPEN_DOOR)))&(((cFOGGY)&(cEAST))=>(cRHEUMATIC)))), inference(split_equiv,[status(thm)],[c_0_1])).
% 0.08/0.27 thf(c_0_4, negated_conjecture, ~(((epred1_0)=>((cEAST)=>~(cOPEN_WINDOW)))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]), c_0_1])).
% 0.08/0.27 thf(c_0_5, plain, (((((((((((~(cEAST)|(cSUNSHINE)|~(epred1_0))&(~(cCOLD)|~(cFOGGY)|(cFLUTE)|~(epred1_0)))&(~(cFIRE)|~(cSMOKE)|(cOPEN_DOOR)|~(epred1_0)))&(~(cCOLD)|~(cRHEUMATIC)|(cFIRE)|~(epred1_0)))&(~(cEAST)|~(cGUSTY)|(cSMOKES)|~(epred1_0)))&(~(cOPEN_DOOR)|~(cHEADACHE)|~(epred1_0)))&(~(cFOGGY)|~(cOPEN_WINDOW)|~(epred1_0)))&((cGUSTY)|~(cFIRE)|(cOPEN_DOOR)|~(cRHEUMATIC)|~(epred1_0)))&(~(cSUNSHINE)|(cFOGGY)|~(epred1_0)))&(~(cFLUTE)|~(cOPEN_DOOR)|~(epred1_0)))&(~(cFOGGY)|~(cEAST)|(cRHEUMATIC)|~(epred1_0))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])).
% 0.08/0.27 thf(c_0_6, negated_conjecture, ((epred1_0)&((cEAST)&(cOPEN_WINDOW))), inference(fof_nnf,[status(thm)],[c_0_4])).
% 0.08/0.27 thf(c_0_7, plain, ((cFOGGY)|~((cSUNSHINE))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.08/0.27 thf(c_0_8, negated_conjecture, (epred1_0), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.08/0.27 thf(c_0_9, plain, ((cSUNSHINE)|~((cEAST))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.08/0.27 thf(c_0_10, negated_conjecture, (cEAST), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.08/0.27 thf(c_0_11, plain, ((cFOGGY)|~((cSUNSHINE))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7, c_0_8])])).
% 0.08/0.27 thf(c_0_12, plain, (cSUNSHINE), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10]), c_0_8])])).
% 0.08/0.27 thf(c_0_13, plain, (~((cFOGGY))|~((cOPEN_WINDOW))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.08/0.27 thf(c_0_14, negated_conjecture, (cOPEN_WINDOW), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.08/0.27 thf(c_0_15, plain, (cFOGGY), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 0.08/0.27 thf(c_0_16, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_15]), c_0_8])]), ['proof']).
% 0.08/0.27 % SZS output end CNFRefutation
% 0.08/0.27 % Parsed axioms : 14
% 0.08/0.27 % Removed by relevancy pruning/SinE : 13
% 0.08/0.27 % Initial clauses : 14
% 0.08/0.27 % Removed in clause preprocessing : 0
% 0.08/0.27 % Initial clauses in saturation : 14
% 0.08/0.27 % Processed clauses : 7
% 0.08/0.27 % ...of these trivial : 0
% 0.08/0.27 % ...subsumed : 0
% 0.08/0.27 % ...remaining for further processing : 6
% 0.08/0.27 % Other redundant clauses eliminated : 0
% 0.08/0.27 % Clauses deleted for lack of memory : 0
% 0.08/0.27 % Backward-subsumed : 0
% 0.08/0.27 % Backward-rewritten : 1
% 0.08/0.27 % Generated clauses : 0
% 0.08/0.27 % ...of the previous two non-redundant : 1
% 0.08/0.27 % ...aggressively subsumed : 0
% 0.08/0.27 % Contextual simplify-reflections : 0
% 0.08/0.27 % Paramodulations : 0
% 0.08/0.27 % Factorizations : 0
% 0.08/0.27 % NegExts : 0
% 0.08/0.27 % Equation resolutions : 0
% 0.08/0.27 % Disequality decompositions : 0
% 0.08/0.27 % Total rewrite steps : 7
% 0.08/0.27 % ...of those cached : 2
% 0.08/0.27 % Propositional unsat checks : 0
% 0.08/0.27 % Propositional check models : 0
% 0.08/0.27 % Propositional check unsatisfiable : 0
% 0.08/0.27 % Propositional clauses : 0
% 0.08/0.27 % Propositional clauses after purity: 0
% 0.08/0.27 % Propositional unsat core size : 0
% 0.08/0.27 % Propositional preprocessing time : 0.000
% 0.08/0.27 % Propositional encoding time : 0.000
% 0.08/0.27 % Propositional solver time : 0.000
% 0.08/0.27 % Success case prop preproc time : 0.000
% 0.08/0.27 % Success case prop encoding time : 0.000
% 0.08/0.27 % Success case prop solver time : 0.000
% 0.08/0.27 % Current number of processed clauses : 5
% 0.08/0.27 % Positive orientable unit clauses : 5
% 0.08/0.27 % Positive unorientable unit clauses: 0
% 0.08/0.27 % Negative unit clauses : 0
% 0.08/0.27 % Non-unit-clauses : 0
% 0.08/0.27 % Current number of unprocessed clauses: 8
% 0.08/0.27 % ...number of literals in the above : 31
% 0.08/0.27 % Current number of archived formulas : 0
% 0.08/0.27 % Current number of archived clauses : 1
% 0.08/0.27 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.27 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.27 % Non-unit clause-clause subsumptions : 0
% 0.08/0.27 % Unit Clause-clause subsumption calls : 0
% 0.08/0.27 % Rewrite failures with RHS unbound : 0
% 0.08/0.27 % BW rewrite match attempts : 1
% 0.08/0.27 % BW rewrite match successes : 1
% 0.08/0.27 % Condensation attempts : 0
% 0.08/0.27 % Condensation successes : 0
% 0.08/0.27 % Termbank termtop insertions : 979
% 0.08/0.27 % Search garbage collected termcells : 105
% 0.08/0.27
% 0.08/0.27 % -------------------------------------------------
% 0.08/0.27 % User time : 0.006 s
% 0.08/0.27 % System time : 0.000 s
% 0.08/0.27 % Total time : 0.006 s
% 0.08/0.27 % Maximum resident set size: 3888 pages
% 0.08/0.27
% 0.08/0.27 % -------------------------------------------------
% 0.08/0.27 % User time : 0.008 s
% 0.08/0.27 % System time : 0.004 s
% 0.08/0.27 % Total time : 0.012 s
% 0.08/0.27 % Maximum resident set size: 4864 pages
% 0.08/0.27 % E exiting
%------------------------------------------------------------------------------