0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : run_E %s %d THM 0.14/0.33 % Computer : n010.cluster.edu 0.14/0.33 % Model : x86_64 x86_64 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.33 % Memory : 8042.1875MB 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.33 % CPULimit : 1440 0.14/0.33 % WCLimit : 180 0.14/0.33 % DateTime : Thu Jul 4 08:20:39 EDT 2024 0.14/0.34 % CPUTime : 0.21/0.48 Running higher-order theorem proving 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.GYlVdVKlsF/E---3.1_22406.p 0.88/0.59 # Version: 3.2.0-ho 0.88/0.59 # Preprocessing class: HSSSSLSSSLSNSFA. 0.88/0.59 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.88/0.59 # Starting post_as_ho5 with 900s (5) cores 0.88/0.59 # Starting post_as_ho10 with 180s (1) cores 0.88/0.59 # Starting post_as_ho4 with 180s (1) cores 0.88/0.59 # Starting sh5l with 180s (1) cores 0.88/0.59 # post_as_ho5 with pid 22500 completed with status 0 0.88/0.59 # Result found by post_as_ho5 0.88/0.59 # Preprocessing class: HSSSSLSSSLSNSFA. 0.88/0.59 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.88/0.59 # Starting post_as_ho5 with 900s (5) cores 0.88/0.59 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.88/0.59 # Search class: HGUNF-FFSF32-SSFFMSBN 0.88/0.59 # partial match(2): HGUNF-FFSF11-SSFFMSBN 0.88/0.59 # Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 0.88/0.59 # Starting post_as_ho12 with 361s (1) cores 0.88/0.59 # Starting new_ho_8 with 136s (1) cores 0.88/0.59 # Starting new_ho_4 with 136s (1) cores 0.88/0.59 # Starting post_as_ho5 with 136s (1) cores 0.88/0.59 # Starting post_as_ho4 with 131s (1) cores 0.88/0.59 # post_as_ho5 with pid 22509 completed with status 0 0.88/0.59 # Result found by post_as_ho5 0.88/0.59 # Preprocessing class: HSSSSLSSSLSNSFA. 0.88/0.59 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.88/0.59 # Starting post_as_ho5 with 900s (5) cores 0.88/0.59 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.88/0.59 # Search class: HGUNF-FFSF32-SSFFMSBN 0.88/0.59 # partial match(2): HGUNF-FFSF11-SSFFMSBN 0.88/0.59 # Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 0.88/0.59 # Starting post_as_ho12 with 361s (1) cores 0.88/0.59 # Starting new_ho_8 with 136s (1) cores 0.88/0.59 # Starting new_ho_4 with 136s (1) cores 0.88/0.59 # Starting post_as_ho5 with 136s (1) cores 0.88/0.59 # Preprocessing time : 0.001 s 0.88/0.59 # Presaturation interreduction done 0.88/0.59 0.88/0.59 # Proof found! 0.88/0.59 # SZS status Theorem 0.88/0.59 # SZS output start CNFRefutation 0.88/0.59 thf(decl_22, type, in: $i > $i > $o). 0.88/0.59 thf(decl_23, type, subset: $i > $i > $o). 0.88/0.59 thf(decl_24, type, subsetI1: $o). 0.88/0.59 thf(decl_25, type, kpair: $i > $i > $i). 0.88/0.59 thf(decl_26, type, cartprod: $i > $i > $i). 0.88/0.59 thf(decl_27, type, breln: $i > $i > $i > $o). 0.88/0.59 thf(decl_28, type, brelnall1: $o). 0.88/0.59 thf(decl_29, type, esk1_2: $i > $i > $i). 0.88/0.59 thf(decl_30, type, esk2_4: $i > $i > $i > ($i > $o) > $i). 0.88/0.59 thf(decl_31, type, esk3_4: $i > $i > $i > ($i > $o) > $i). 0.88/0.59 thf(decl_32, type, esk4_0: $i). 0.88/0.59 thf(decl_33, type, esk5_0: $i). 0.88/0.59 thf(decl_34, type, esk6_0: $i). 0.88/0.59 thf(decl_35, type, esk7_0: $i). 0.88/0.59 thf(breln, axiom, ((breln)=(^[X1:$i, X2:$i, X4:$i]:((subset @ X4 @ (cartprod @ X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.GYlVdVKlsF/E---3.1_22406.p', breln)). 0.88/0.59 thf(brelnall1, axiom, ((brelnall1)<=>![X1:$i, X2:$i, X5:$i]:(((breln @ X1 @ X2 @ X5)=>![X6:$i > $o]:((![X3:$i]:(((in @ X3 @ X1)=>![X7:$i]:(((in @ X7 @ X2)=>((in @ (kpair @ X3 @ X7) @ X5)=>(X6 @ (kpair @ X3 @ X7)))))))=>![X3:$i]:(((in @ X3 @ X5)=>(X6 @ X3)))))))), file('/export/starexec/sandbox/tmp/tmp.GYlVdVKlsF/E---3.1_22406.p', brelnall1)). 0.88/0.59 thf(subbreln, conjecture, ((subsetI1)=>((brelnall1)=>![X1:$i, X2:$i, X5:$i]:((![X8:$i]:(((breln @ X1 @ X2 @ X8)=>(![X3:$i]:((![X7:$i]:(((in @ X7 @ X2)=>((in @ (kpair @ X3 @ X7) @ X5)=>(in @ (kpair @ X3 @ X7) @ X8))))<=(in @ X3 @ X1)))=>(subset @ X5 @ X8))))<=(breln @ X1 @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.GYlVdVKlsF/E---3.1_22406.p', subbreln)). 0.88/0.59 thf(subsetI1, axiom, ((subsetI1)<=>![X1:$i, X2:$i]:((![X3:$i]:(((in @ X3 @ X1)=>(in @ X3 @ X2)))=>(subset @ X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.GYlVdVKlsF/E---3.1_22406.p', subsetI1)). 0.88/0.59 thf(c_0_4, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])). 0.88/0.59 thf(c_0_5, axiom, ((brelnall1)=(![X1:$i, X2:$i, X5:$i]:((((subset @ X5 @ (cartprod @ X1 @ X2)))=>![X6:$i > $o]:((![X3:$i]:(((in @ X3 @ X1)=>![X7:$i]:(((in @ X7 @ X2)=>((in @ (kpair @ X3 @ X7) @ X5)=>(X6 @ (kpair @ X3 @ X7)))))))=>![X3:$i]:(((in @ X3 @ X5)=>(X6 @ X3))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_4])). 0.88/0.59 thf(c_0_6, negated_conjecture, ~((![X25:$i, X26:$i]:((![X27:$i]:(((in @ X27 @ X25)=>(in @ X27 @ X26)))=>(subset @ X25 @ X26)))=>(![X28:$i, X29:$i, X30:$i]:(((subset @ X30 @ (cartprod @ X28 @ X29))=>![X31:$i > $o]:((![X32:$i]:(((in @ X32 @ X28)=>![X33:$i]:(((in @ X33 @ X29)=>((in @ (kpair @ X32 @ X33) @ X30)=>(X31 @ (kpair @ X32 @ X33)))))))=>![X34:$i]:(((in @ X34 @ X30)=>(X31 @ X34)))))))=>![X1:$i, X2:$i, X5:$i]:(((subset @ X5 @ (cartprod @ X1 @ X2))=>![X8:$i]:(((subset @ X8 @ (cartprod @ X1 @ X2))=>(![X3:$i]:(((in @ X3 @ X1)=>![X7:$i]:(((in @ X7 @ X2)=>((in @ (kpair @ X3 @ X7) @ X5)=>(in @ (kpair @ X3 @ X7) @ X8))))))=>(subset @ X5 @ X8))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[subbreln]), c_0_4]), subsetI1]), c_0_5])])). 0.88/0.59 thf(c_0_7, negated_conjecture, ![X35:$i, X36:$i, X38:$i, X39:$i, X40:$i, X41:$i > $o, X44:$i, X49:$i, X50:$i]:(((((in @ (esk1_2 @ X35 @ X36) @ X35)|(subset @ X35 @ X36))&(~(in @ (esk1_2 @ X35 @ X36) @ X36)|(subset @ X35 @ X36)))&((((in @ (esk2_4 @ X38 @ X39 @ X40 @ X41) @ X38)|(~(in @ X44 @ X40)|(X41 @ X44))|~(subset @ X40 @ (cartprod @ X38 @ X39)))&(((in @ (esk3_4 @ X38 @ X39 @ X40 @ X41) @ X39)|(~(in @ X44 @ X40)|(X41 @ X44))|~(subset @ X40 @ (cartprod @ X38 @ X39)))&(((in @ (kpair @ (esk2_4 @ X38 @ X39 @ X40 @ X41) @ (esk3_4 @ X38 @ X39 @ X40 @ X41)) @ X40)|(~(in @ X44 @ X40)|(X41 @ X44))|~(subset @ X40 @ (cartprod @ X38 @ X39)))&(~(X41 @ (kpair @ (esk2_4 @ X38 @ X39 @ X40 @ X41) @ (esk3_4 @ X38 @ X39 @ X40 @ X41)))|(~(in @ X44 @ X40)|(X41 @ X44))|~(subset @ X40 @ (cartprod @ X38 @ X39))))))&((subset @ esk6_0 @ (cartprod @ esk4_0 @ esk5_0))&((subset @ esk7_0 @ (cartprod @ esk4_0 @ esk5_0))&((~(in @ X49 @ esk4_0)|(~(in @ X50 @ esk5_0)|(~(in @ (kpair @ X49 @ X50) @ esk6_0)|(in @ (kpair @ X49 @ X50) @ esk7_0))))&~(subset @ esk6_0 @ esk7_0))))))), inference(distribute,[status(thm)],[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])])])])])])). 0.88/0.59 thf(c_0_8, negated_conjecture, ![X1:$i, X6:$i > $o, X4:$i, X3:$i, X2:$i]:(((X6 @ X4)|~((X6 @ (kpair @ (esk2_4 @ X1 @ X2 @ X3 @ X6) @ (esk3_4 @ X1 @ X2 @ X3 @ X6))))|~((in @ X4 @ X3))|~((subset @ X3 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.88/0.59 thf(c_0_9, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X3:$i]:((((kpair @ (esk2_4 @ X1 @ X2 @ X3 @ (^[Z0/* 4 */:$i]:(((Z0)!=(X4))))) @ (esk3_4 @ X1 @ X2 @ X3 @ (^[Z0/* 4 */:$i]:(((Z0)!=(X4))))))=(X4))|~((subset @ X3 @ (cartprod @ X1 @ X2)))|~((in @ X4 @ X3)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_8])). 0.88/0.59 thf(c_0_10, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (esk1_2 @ X1 @ X2) @ X1)|(subset @ X1 @ X2))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.88/0.59 thf(c_0_11, negated_conjecture, ![X1:$i, X6:$i > $o, X4:$i, X3:$i, X2:$i]:(((in @ (esk3_4 @ X1 @ X2 @ X3 @ X6) @ X2)|(X6 @ X4)|~((in @ X4 @ X3))|~((subset @ X3 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.88/0.59 thf(c_0_12, negated_conjecture, (subset @ esk6_0 @ (cartprod @ esk4_0 @ esk5_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.88/0.59 thf(c_0_13, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (kpair @ X1 @ X2) @ esk7_0)|~((in @ X1 @ esk4_0))|~((in @ X2 @ esk5_0))|~((in @ (kpair @ X1 @ X2) @ esk6_0)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.88/0.59 thf(c_0_14, negated_conjecture, ![X1:$i, X4:$i, X3:$i, X2:$i]:((((kpair @ (esk2_4 @ X1 @ X2 @ X3 @ (^[Z0/* 4 */:$i]:(((Z0)!=(esk1_2 @ X3 @ X4))))) @ (esk3_4 @ X1 @ X2 @ X3 @ (^[Z0/* 4 */:$i]:(((Z0)!=(esk1_2 @ X3 @ X4))))))=(esk1_2 @ X3 @ X4))|(subset @ X3 @ X4)|~((subset @ X3 @ (cartprod @ X1 @ X2))))), inference(spm,[status(thm)],[c_0_9, c_0_10])). 0.88/0.59 thf(c_0_15, negated_conjecture, ![X6:$i > $o, X1:$i]:(((in @ (esk3_4 @ esk4_0 @ esk5_0 @ esk6_0 @ X6) @ esk5_0)|(X6 @ X1)|~((in @ X1 @ esk6_0)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.88/0.59 thf(c_0_16, negated_conjecture, ![X1:$i, X6:$i > $o, X4:$i, X3:$i, X2:$i]:(((in @ (esk2_4 @ X1 @ X2 @ X3 @ X6) @ X1)|(X6 @ X4)|~((in @ X4 @ X3))|~((subset @ X3 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.88/0.59 thf(c_0_17, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i]:(((in @ (esk1_2 @ X1 @ X2) @ esk7_0)|(subset @ X1 @ X2)|~((in @ (esk3_4 @ X3 @ X4 @ X1 @ (^[Z0/* 4 */:$i]:(((Z0)!=(esk1_2 @ X1 @ X2))))) @ esk5_0))|~((in @ (esk2_4 @ X3 @ X4 @ X1 @ (^[Z0/* 4 */:$i]:(((Z0)!=(esk1_2 @ X1 @ X2))))) @ esk4_0))|~((in @ (esk1_2 @ X1 @ X2) @ esk6_0))|~((subset @ X1 @ (cartprod @ X3 @ X4))))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.88/0.59 thf(c_0_18, negated_conjecture, ![X6:$i > $o, X1:$i]:(((in @ (esk3_4 @ esk4_0 @ esk5_0 @ esk6_0 @ X6) @ esk5_0)|(X6 @ (esk1_2 @ esk6_0 @ X1))|(subset @ esk6_0 @ X1))), inference(spm,[status(thm)],[c_0_15, c_0_10])). 0.88/0.59 thf(c_0_19, negated_conjecture, ![X6:$i > $o, X1:$i]:(((in @ (esk2_4 @ esk4_0 @ esk5_0 @ esk6_0 @ X6) @ esk4_0)|(X6 @ X1)|~((in @ X1 @ esk6_0)))), inference(spm,[status(thm)],[c_0_16, c_0_12])). 0.88/0.59 thf(c_0_20, negated_conjecture, ![X2:$i, X1:$i]:(((in @ (esk1_2 @ esk6_0 @ X1) @ esk7_0)|(subset @ esk6_0 @ X2)|(subset @ esk6_0 @ X1)|((esk1_2 @ esk6_0 @ X2)!=(esk1_2 @ esk6_0 @ X1))|~((in @ (esk2_4 @ esk4_0 @ esk5_0 @ esk6_0 @ (^[Z0/* 4 */:$i]:(((Z0)!=(esk1_2 @ esk6_0 @ X1))))) @ esk4_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18])]), c_0_12])]), c_0_10])). 0.88/0.59 thf(c_0_21, negated_conjecture, ![X6:$i > $o, X1:$i]:(((in @ (esk2_4 @ esk4_0 @ esk5_0 @ esk6_0 @ X6) @ esk4_0)|(X6 @ (esk1_2 @ esk6_0 @ X1))|(subset @ esk6_0 @ X1))), inference(spm,[status(thm)],[c_0_19, c_0_10])). 0.88/0.59 thf(c_0_22, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((in @ (esk1_2 @ esk6_0 @ X1) @ esk7_0)|(subset @ esk6_0 @ X2)|(subset @ esk6_0 @ X1)|(subset @ esk6_0 @ X3)|((esk1_2 @ esk6_0 @ X2)!=(esk1_2 @ esk6_0 @ X1))|((esk1_2 @ esk6_0 @ X3)!=(esk1_2 @ esk6_0 @ X1)))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21])])). 0.88/0.59 thf(c_0_23, negated_conjecture, ![X2:$i, X1:$i]:(((in @ (esk1_2 @ esk6_0 @ X1) @ esk7_0)|(subset @ esk6_0 @ X2)|(subset @ esk6_0 @ X1)|((esk1_2 @ esk6_0 @ X2)!=(esk1_2 @ esk6_0 @ X1)))), inference(er,[status(thm)],[c_0_22])). 0.88/0.59 thf(c_0_24, negated_conjecture, ![X1:$i, X2:$i]:(((subset @ X1 @ X2)|~((in @ (esk1_2 @ X1 @ X2) @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.88/0.59 thf(c_0_25, negated_conjecture, ![X1:$i]:(((in @ (esk1_2 @ esk6_0 @ X1) @ esk7_0)|(subset @ esk6_0 @ X1))), inference(er,[status(thm)],[c_0_23])). 0.88/0.59 thf(c_0_26, negated_conjecture, ~((subset @ esk6_0 @ esk7_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.88/0.59 thf(c_0_27, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), ['proof']). 0.88/0.59 # SZS output end CNFRefutation 0.88/0.59 # Parsed axioms : 11 0.88/0.59 # Removed by relevancy pruning/SinE : 7 0.88/0.59 # Initial clauses : 10 0.88/0.59 # Removed in clause preprocessing : 0 0.88/0.59 # Initial clauses in saturation : 10 0.88/0.59 # Processed clauses : 115 0.88/0.59 # ...of these trivial : 6 0.88/0.59 # ...subsumed : 10 0.88/0.59 # ...remaining for further processing : 99 0.88/0.59 # Other redundant clauses eliminated : 3 0.88/0.59 # Clauses deleted for lack of memory : 0 0.88/0.59 # Backward-subsumed : 3 0.88/0.59 # Backward-rewritten : 0 0.88/0.59 # Generated clauses : 777 0.88/0.59 # ...of the previous two non-redundant : 685 0.88/0.59 # ...aggressively subsumed : 0 0.88/0.59 # Contextual simplify-reflections : 1 0.88/0.59 # Paramodulations : 726 0.88/0.59 # Factorizations : 12 0.88/0.59 # NegExts : 7 0.88/0.59 # Equation resolutions : 18 0.88/0.59 # Disequality decompositions : 0 0.88/0.59 # Total rewrite steps : 68 0.88/0.59 # ...of those cached : 58 0.88/0.59 # Propositional unsat checks : 0 0.88/0.59 # Propositional check models : 0 0.88/0.59 # Propositional check unsatisfiable : 0 0.88/0.59 # Propositional clauses : 0 0.88/0.59 # Propositional clauses after purity: 0 0.88/0.59 # Propositional unsat core size : 0 0.88/0.59 # Propositional preprocessing time : 0.000 0.88/0.59 # Propositional encoding time : 0.000 0.88/0.59 # Propositional solver time : 0.000 0.88/0.59 # Success case prop preproc time : 0.000 0.88/0.59 # Success case prop encoding time : 0.000 0.88/0.59 # Success case prop solver time : 0.000 0.88/0.59 # Current number of processed clauses : 80 0.88/0.59 # Positive orientable unit clauses : 3 0.88/0.59 # Positive unorientable unit clauses: 0 0.88/0.59 # Negative unit clauses : 1 0.88/0.59 # Non-unit-clauses : 76 0.88/0.59 # Current number of unprocessed clauses: 563 0.88/0.59 # ...number of literals in the above : 2913 0.88/0.59 # Current number of archived formulas : 0 0.88/0.59 # Current number of archived clauses : 19 0.88/0.59 # Clause-clause subsumption calls (NU) : 529 0.88/0.59 # Rec. Clause-clause subsumption calls : 130 0.88/0.59 # Non-unit clause-clause subsumptions : 14 0.88/0.59 # Unit Clause-clause subsumption calls : 2 0.88/0.59 # Rewrite failures with RHS unbound : 0 0.88/0.59 # BW rewrite match attempts : 4 0.88/0.59 # BW rewrite match successes : 0 0.88/0.59 # Condensation attempts : 0 0.88/0.59 # Condensation successes : 0 0.88/0.59 # Termbank termtop insertions : 195687 0.88/0.59 # Search garbage collected termcells : 522 0.88/0.59 0.88/0.59 # ------------------------------------------------- 0.88/0.59 # User time : 0.076 s 0.88/0.59 # System time : 0.007 s 0.88/0.59 # Total time : 0.083 s 0.88/0.59 # Maximum resident set size: 1980 pages 0.88/0.59 0.88/0.59 # ------------------------------------------------- 0.88/0.59 # User time : 0.379 s 0.88/0.59 # System time : 0.025 s 0.88/0.59 # Total time : 0.405 s 0.88/0.59 # Maximum resident set size: 1712 pages 0.88/0.59 % E---3.1 exiting 0.88/0.59 % E exiting 0.88/0.59 EOF