TSTP Solution File: SEU669^2 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU669^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:29:00 EDT 2024
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEU669^2 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 15:57:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running higher-order theorem proving
% 0.16/0.43 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/benchmark/theBenchmark.p
% 0.16/0.44 # Version: 3.1.0-ho
% 0.16/0.44 # Preprocessing class: HSSSSLSSSLMNHSN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting ho_unfolding_6 with 1500s (5) cores
% 0.16/0.44 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.16/0.44 # Starting pre_casc_5 with 300s (1) cores
% 0.16/0.44 # Starting additional_ho_6 with 300s (1) cores
% 0.16/0.44 # ehoh_best_sine_rwall with pid 6060 completed with status 0
% 0.16/0.44 # Result found by ehoh_best_sine_rwall
% 0.16/0.44 # Preprocessing class: HSSSSLSSSLMNHSN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting ho_unfolding_6 with 1500s (5) cores
% 0.16/0.44 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.16/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44 # Search class: HHUNF-FFSF22-DHSFMFBN
% 0.16/0.44 # partial match(4): HGUNF-FFSF22-SHSSMMBN
% 0.16/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting new_ho_10 with 181s (1) cores
% 0.16/0.44 # new_ho_10 with pid 6066 completed with status 0
% 0.16/0.44 # Result found by new_ho_10
% 0.16/0.44 # Preprocessing class: HSSSSLSSSLMNHSN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting ho_unfolding_6 with 1500s (5) cores
% 0.16/0.44 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.16/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44 # Search class: HHUNF-FFSF22-DHSFMFBN
% 0.16/0.44 # partial match(4): HGUNF-FFSF22-SHSSMMBN
% 0.16/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting new_ho_10 with 181s (1) cores
% 0.16/0.44 # Preprocessing time : 0.001 s
% 0.16/0.44 # Presaturation interreduction done
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Theorem
% 0.16/0.44 # SZS output start CNFRefutation
% 0.16/0.44 thf(decl_22, type, in: $i > $i > $o).
% 0.16/0.44 thf(decl_23, type, dsetconstr: $i > ($i > $o) > $i).
% 0.16/0.44 thf(decl_24, type, dsetconstrEL: $o).
% 0.16/0.44 thf(decl_25, type, kpair: $i > $i > $i).
% 0.16/0.44 thf(decl_26, type, cartprod: $i > $i > $i).
% 0.16/0.44 thf(decl_27, type, cartprodpairmemEL: $o).
% 0.16/0.44 thf(decl_28, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 0.16/0.44 thf(decl_29, type, esk1_0: $i).
% 0.16/0.44 thf(decl_30, type, esk2_0: $i).
% 0.16/0.44 thf(decl_31, type, epred1_0: $i > $i > $o).
% 0.16/0.44 thf(decl_32, type, esk3_0: $i).
% 0.16/0.44 thf(decl_33, type, esk4_0: $i).
% 0.16/0.44 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4)))))=>(in @ X3 @ X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrEL)).
% 0.16/0.44 thf(dpsetconstr, axiom, ((dpsetconstr)=(^[X1:$i, X5:$i, X6:$i > $i > $o]:(dsetconstr @ (cartprod @ X1 @ X5) @ (^[X7:$i]:(?[X3:$i]:(((in @ X3 @ X1)&?[X4:$i]:((((in @ X4 @ X5)&(X6 @ X3 @ X4))&((X7)=(kpair @ X3 @ X4))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstr)).
% 0.16/0.44 thf(dpsetconstrEL1, conjecture, ((dsetconstrEL)=>((cartprodpairmemEL)=>![X1:$i, X5:$i, X8:$i > $i > $o, X3:$i, X4:$i]:(((in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X1 @ X5 @ (^[X9:$i, X7:$i]:((X8 @ X9 @ X7)))))=>(in @ X3 @ X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dpsetconstrEL1)).
% 0.16/0.44 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X1:$i, X5:$i, X3:$i, X4:$i]:(((in @ (kpair @ X3 @ X4) @ (cartprod @ X1 @ X5))=>(in @ X3 @ X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cartprodpairmemEL)).
% 0.16/0.44 thf(c_0_4, plain, ((dsetconstrEL)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0)))))=>(in @ X3 @ X1)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.16/0.44 thf(c_0_5, plain, ((dpsetconstr)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i > $i > $o]:(dsetconstr @ (cartprod @ Z0 @ Z1) @ (^[Z3/* 5 */:$i]:(?[X3:$i]:(((in @ X3 @ Z0)&?[X4:$i]:((((in @ X4 @ Z1)&(Z2 @ X3 @ X4))&((Z3)=(kpair @ X3 @ X4))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstr])).
% 0.16/0.44 thf(c_0_6, negated_conjecture, ~((![X22:$i, X23:$i > $o, X24:$i]:(((in @ X24 @ (dsetconstr @ X22 @ X23))=>(in @ X24 @ X22)))=>(![X25:$i, X26:$i, X27:$i, X28:$i]:(((in @ (kpair @ X27 @ X28) @ (cartprod @ X25 @ X26))=>(in @ X27 @ X25)))=>![X1:$i, X5:$i, X8:$i > $i > $o, X3:$i, X4:$i]:(((in @ (kpair @ X3 @ X4) @ (dsetconstr @ (cartprod @ X1 @ X5) @ (^[Z0/* 5 */:$i]:(?[X29:$i]:(((in @ X29 @ X1)&?[X30:$i]:((((in @ X30 @ X5)&X8 @ X29 @ X30)&((Z0)=(kpair @ X29 @ X30))))))))))=>(in @ X3 @ X1)))))), inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[dpsetconstrEL1])]), c_0_4]), c_0_5]), cartprodpairmemEL])])).
% 0.16/0.44 thf(c_0_7, negated_conjecture, ![X31:$i, X32:$i > $o, X33:$i, X34:$i, X35:$i, X36:$i, X37:$i]:(((~(in @ X33 @ (dsetconstr @ X31 @ X32))|(in @ X33 @ X31))&((~(in @ (kpair @ X36 @ X37) @ (cartprod @ X34 @ X35))|(in @ X36 @ X34))&((in @ (kpair @ esk3_0 @ esk4_0) @ (dsetconstr @ (cartprod @ esk1_0 @ esk2_0) @ (^[Z0/* 5 */:$i]:(?[X29:$i]:(((in @ X29 @ esk1_0)&?[X30:$i]:((((in @ X30 @ esk2_0)&epred1_0 @ X29 @ X30)&((Z0)=(kpair @ X29 @ X30))))))))))&~(in @ esk3_0 @ esk1_0))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])).
% 0.16/0.44 thf(c_0_8, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:(((in @ X1 @ X3)|~((in @ X1 @ (dsetconstr @ X3 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.16/0.44 thf(c_0_9, negated_conjecture, (in @ (kpair @ esk3_0 @ esk4_0) @ (dsetconstr @ (cartprod @ esk1_0 @ esk2_0) @ (^[Z0/* 5 */:$i]:(?[X43:$i]:(((in @ X43 @ esk1_0)&?[X44:$i]:((((in @ X44 @ esk2_0)&(epred1_0 @ X43 @ X44))&((Z0)=(kpair @ X43 @ X44)))))))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.16/0.44 thf(c_0_10, negated_conjecture, ![X1:$i, X3:$i, X4:$i, X5:$i]:(((in @ X1 @ X4)|~((in @ (kpair @ X1 @ X3) @ (cartprod @ X4 @ X5))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.16/0.44 thf(c_0_11, negated_conjecture, (in @ (kpair @ esk3_0 @ esk4_0) @ (cartprod @ esk1_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 0.16/0.44 thf(c_0_12, negated_conjecture, ~((in @ esk3_0 @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.16/0.44 thf(c_0_13, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12]), ['proof']).
% 0.16/0.44 # SZS output end CNFRefutation
% 0.16/0.44 # Parsed axioms : 11
% 0.16/0.44 # Removed by relevancy pruning/SinE : 7
% 0.16/0.44 # Initial clauses : 4
% 0.16/0.44 # Removed in clause preprocessing : 0
% 0.16/0.44 # Initial clauses in saturation : 4
% 0.16/0.44 # Processed clauses : 9
% 0.16/0.44 # ...of these trivial : 0
% 0.16/0.44 # ...subsumed : 0
% 0.16/0.44 # ...remaining for further processing : 9
% 0.16/0.44 # Other redundant clauses eliminated : 0
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 0
% 0.16/0.44 # Backward-rewritten : 0
% 0.16/0.44 # Generated clauses : 2
% 0.16/0.44 # ...of the previous two non-redundant : 1
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 0
% 0.16/0.44 # Paramodulations : 2
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 0
% 0.16/0.44 # Disequality decompositions : 0
% 0.16/0.44 # Total rewrite steps : 0
% 0.16/0.44 # ...of those cached : 0
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 5
% 0.16/0.44 # Positive orientable unit clauses : 2
% 0.16/0.44 # Positive unorientable unit clauses: 0
% 0.16/0.44 # Negative unit clauses : 1
% 0.16/0.44 # Non-unit-clauses : 2
% 0.16/0.44 # Current number of unprocessed clauses: 0
% 0.16/0.44 # ...number of literals in the above : 0
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 4
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 2
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 0
% 0.16/0.44 # Non-unit clause-clause subsumptions : 0
% 0.16/0.44 # Unit Clause-clause subsumption calls : 0
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 0
% 0.16/0.44 # BW rewrite match successes : 0
% 0.16/0.44 # Condensation attempts : 9
% 0.16/0.44 # Condensation successes : 0
% 0.16/0.44 # Termbank termtop insertions : 883
% 0.16/0.44 # Search garbage collected termcells : 334
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.004 s
% 0.16/0.44 # System time : 0.001 s
% 0.16/0.44 # Total time : 0.005 s
% 0.16/0.44 # Maximum resident set size: 1892 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.004 s
% 0.16/0.44 # System time : 0.004 s
% 0.16/0.44 # Total time : 0.008 s
% 0.16/0.44 # Maximum resident set size: 1740 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.44 % E exiting
%------------------------------------------------------------------------------