0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s 0.10/0.32 Computer : n015.cluster.edu 0.10/0.32 Model : x86_64 x86_64 0.10/0.32 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 RAMPerCPU : 8042.1875MB 0.10/0.32 OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 1440 0.10/0.32 % DateTime : Mon Jul 3 08:21:24 EDT 2023 0.10/0.32 % CPUTime : 19.12/19.33 % SZS status Theorem 19.12/19.33 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1 19.12/19.33 % Inferences: 0 19.12/19.33 % SZS output start Proof 19.12/19.33 thf(conj_0,conjecture,(~(((member_Secrecy_KS @ m) @ (specKeysSecrets @ pq))))). 19.12/19.33 thf(h0,negated_conjecture,((member_Secrecy_KS @ m) @ (specKeysSecrets @ pq)),inference(assume_negation,[status(cth)],[conj_0])). 19.12/19.33 tff(pax6, axiom, (p6=>![X47:secrecy_specID, X48:secrecy_specID, X41:secrecy_specID, X49:secrecy_KS]:((fsubcomponents @ X47)=(finsert1671894227specID @ X48 @ (finsert1671894227specID @ X41 @ fbot_bo1785112429specID))=>(fcorrectCompositionKS @ X47=>(~(fmember_Secrecy_KS @ X49 @ (fspecKeysSecrets @ X48))=>(~(fmember_Secrecy_KS @ X49 @ (fspecKeysSecrets @ X41))=>~(fmember_Secrecy_KS @ X49 @ (fspecKeysSecrets @ X47))))))), file('', pax6)). 19.12/19.33 tff(pax13, axiom, (p13=>(fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))), file('', pax13)). 19.12/19.33 tff(pax9, axiom, (p9=>fcorrectCompositionKS @ fpq), file('', pax9)). 19.12/19.33 fof(ax30, axiom, p6, file('', ax30)). 19.12/19.33 fof(ax23, axiom, p13, file('', ax23)). 19.12/19.33 fof(ax27, axiom, p9, file('', ax27)). 19.12/19.33 tff(pax10, axiom, (p10=>fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fpq)), file('', pax10)). 19.12/19.33 fof(ax26, axiom, p10, file('', ax26)). 19.12/19.33 tff(nax28, axiom, (p28<=fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fp)), file('', nax28)). 19.12/19.33 fof(ax8, axiom, ~(p28), file('', ax8)). 19.12/19.33 tff(nax33, axiom, (p33<=fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fq)), file('', nax33)). 19.12/19.33 fof(ax3, axiom, ~(p33), file('', ax3)). 19.12/19.33 tff(c_0_12, plain, ![X191:secrecy_specID, X192:secrecy_specID, X193:secrecy_specID, X194:secrecy_KS]:(~p6|((fsubcomponents @ X191)!=(finsert1671894227specID @ X192 @ (finsert1671894227specID @ X193 @ fbot_bo1785112429specID))|(~fcorrectCompositionKS @ X191|(fmember_Secrecy_KS @ X194 @ (fspecKeysSecrets @ X192)|(fmember_Secrecy_KS @ X194 @ (fspecKeysSecrets @ X193)|~fmember_Secrecy_KS @ X194 @ (fspecKeysSecrets @ X191)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax6])])])])). 19.12/19.33 tff(c_0_13, plain, (~p13|(fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))), inference(fof_nnf,[status(thm)],[pax13])). 19.12/19.33 tff(c_0_14, plain, (~p9|fcorrectCompositionKS @ fpq), inference(fof_nnf,[status(thm)],[pax9])). 19.12/19.33 thf(c_0_15, plain, ![X1:secrecy_specID, X3:secrecy_specID, X2:secrecy_specID, X7:secrecy_KS]:(fmember_Secrecy_KS @ X7 @ (fspecKeysSecrets @ X2)|fmember_Secrecy_KS @ X7 @ (fspecKeysSecrets @ X3)|~p6|(fsubcomponents @ X1)!=(finsert1671894227specID @ X2 @ (finsert1671894227specID @ X3 @ fbot_bo1785112429specID))|~fcorrectCompositionKS @ X1|~fmember_Secrecy_KS @ X7 @ (fspecKeysSecrets @ X1)), inference(split_conjunct,[status(thm)],[c_0_12])). 19.12/19.33 thf(c_0_16, plain, (p6), inference(split_conjunct,[status(thm)],[ax30])). 19.12/19.33 thf(c_0_17, plain, ((fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))|~p13), inference(split_conjunct,[status(thm)],[c_0_13])). 19.12/19.33 thf(c_0_18, plain, (p13), inference(split_conjunct,[status(thm)],[ax23])). 19.12/19.33 thf(c_0_19, plain, (fcorrectCompositionKS @ fpq|~p9), inference(split_conjunct,[status(thm)],[c_0_14])). 19.12/19.33 thf(c_0_20, plain, (p9), inference(split_conjunct,[status(thm)],[ax27])). 19.12/19.33 tff(c_0_21, plain, (~p10|fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fpq)), inference(fof_nnf,[status(thm)],[pax10])). 19.12/19.33 thf(c_0_22, plain, ![X1:secrecy_specID, X2:secrecy_specID, X7:secrecy_KS, X3:secrecy_specID]:(fmember_Secrecy_KS @ X7 @ (fspecKeysSecrets @ X1)|fmember_Secrecy_KS @ X7 @ (fspecKeysSecrets @ X2)|(fsubcomponents @ X3)!=(finsert1671894227specID @ X1 @ (finsert1671894227specID @ X2 @ fbot_bo1785112429specID))|~fmember_Secrecy_KS @ X7 @ (fspecKeysSecrets @ X3)|~fcorrectCompositionKS @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])). 19.12/19.33 thf(c_0_23, plain, (fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])). 19.12/19.33 thf(c_0_24, plain, fcorrectCompositionKS @ fpq, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])). 19.12/19.33 thf(c_0_25, plain, (fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fpq)|~p10), inference(split_conjunct,[status(thm)],[c_0_21])). 19.12/19.33 thf(c_0_26, plain, (p10), inference(split_conjunct,[status(thm)],[ax26])). 19.12/19.33 tff(c_0_27, plain, (~fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fp)|p28), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax28])])). 19.12/19.33 fof(c_0_28, plain, ~p28, inference(fof_simplification,[status(thm)],[ax8])). 19.12/19.33 tff(c_0_29, plain, (~fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fq)|p33), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax33])])). 19.12/19.33 fof(c_0_30, plain, ~p33, inference(fof_simplification,[status(thm)],[ax3])). 19.12/19.33 thf(c_0_31, plain, ![X1:secrecy_specID, X2:secrecy_specID, X7:secrecy_KS]:(fmember_Secrecy_KS @ X7 @ (fspecKeysSecrets @ X1)|fmember_Secrecy_KS @ X7 @ (fspecKeysSecrets @ X2)|(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))!=(finsert1671894227specID @ X2 @ (finsert1671894227specID @ X1 @ fbot_bo1785112429specID))|~fmember_Secrecy_KS @ X7 @ (fspecKeysSecrets @ fpq)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])). 19.12/19.33 thf(c_0_32, plain, fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fpq), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])). 19.12/19.33 thf(c_0_33, plain, (p28|~fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fp)), inference(split_conjunct,[status(thm)],[c_0_27])). 19.12/19.33 thf(c_0_34, plain, (~p28), inference(split_conjunct,[status(thm)],[c_0_28])). 19.12/19.33 thf(c_0_35, plain, (p33|~fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fq)), inference(split_conjunct,[status(thm)],[c_0_29])). 19.12/19.33 thf(c_0_36, plain, (~p33), inference(split_conjunct,[status(thm)],[c_0_30])). 19.12/19.33 thf(c_0_37, plain, ![X2:secrecy_specID, X1:secrecy_specID]:(fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ X1)|fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ X2)|(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))!=(finsert1671894227specID @ X1 @ (finsert1671894227specID @ X2 @ fbot_bo1785112429specID))), inference(spm,[status(thm)],[c_0_31, c_0_32])). 19.12/19.33 thf(c_0_38, plain, ~fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fp), inference(sr,[status(thm)],[c_0_33, c_0_34])). 19.12/19.33 thf(c_0_39, plain, ~fmember_Secrecy_KS @ fm @ (fspecKeysSecrets @ fq), inference(sr,[status(thm)],[c_0_35, c_0_36])). 19.12/19.33 thf(c_0_40, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_37]), c_0_38]), c_0_39]), ['proof']). 19.12/19.33 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])). 19.12/19.33 thf(0,theorem,(~(((member_Secrecy_KS @ m) @ (specKeysSecrets @ pq)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])). 19.12/19.33 % SZS output end Proof 19.12/19.33 EOF