TSTP Solution File: ITP089^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP089^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n024.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 : 600s
% DateTime : Sun Jul 17 00:29:04 EDT 2022
% Result : Theorem 5.48s 5.71s
% Output : Proof 5.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP089^1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 3 17:08:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 5.48/5.71 % SZS status Theorem
% 5.48/5.71 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 5.48/5.71 % Inferences: 6
% 5.48/5.71 % SZS output start Proof
% 5.48/5.71 thf(conj_0,conjecture,(~(((member_Secrecy_KS @ (secrecy_sKS @ secret)) @ (localSecrets @ pq))))).
% 5.48/5.71 thf(h0,negated_conjecture,((member_Secrecy_KS @ (secrecy_sKS @ secret)) @ (localSecrets @ pq)),inference(assume_negation,[status(cth)],[conj_0])).
% 5.48/5.71 thf(pax14, axiom, (p14=>![X88:secrecy_Secrets, X85:secrecy_specID, X82:secrecy_specID, X89:secrecy_specID]:(fmember_Secrecy_KS @ (fsecrecy_sKS @ X88) @ (flocalSecrets @ X85)=>((fsubcomponents @ X85)=(finsert1671894227specID @ X82 @ (finsert1671894227specID @ X89 @ fbot_bo1785112429specID))=>(fcorrec965049635ionLoc @ X85=>(~(fine @ X89 @ (fsecrecy_sE @ X88))=>(~(fmember_Secrecy_KS @ (fsecrecy_sKS @ X88) @ (flocalSecrets @ X82))=>(~(fmember_Secrecy_KS @ (fsecrecy_sKS @ X88) @ (flocalSecrets @ X89))=>fine @ X82 @ (fsecrecy_sE @ X88)))))))), file('<stdin>', pax14)).
% 5.48/5.71 thf(pax7, axiom, (p7=>(fm)=(fsecrecy_sKS @ fsecret)), file('<stdin>', pax7)).
% 5.48/5.71 thf(ax68, axiom, p14, file('<stdin>', ax68)).
% 5.48/5.71 thf(ax75, axiom, p7, file('<stdin>', ax75)).
% 5.48/5.71 thf(pax6, axiom, (p6=>(fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))), file('<stdin>', pax6)).
% 5.48/5.71 thf(nax3, axiom, (p3<=fine @ fq @ (fsecrecy_sE @ fsecret)), file('<stdin>', nax3)).
% 5.48/5.71 thf(ax79, axiom, ~(p3), file('<stdin>', ax79)).
% 5.48/5.71 thf(nax2, axiom, (p2<=fine @ fp @ (fsecrecy_sE @ fsecret)), file('<stdin>', nax2)).
% 5.48/5.71 thf(ax80, axiom, ~(p2), file('<stdin>', ax80)).
% 5.48/5.71 thf(nax5, axiom, (p5<=fmember_Secrecy_KS @ (fsecrecy_sKS @ fsecret) @ (flocalSecrets @ fq)), file('<stdin>', nax5)).
% 5.48/5.71 thf(ax77, axiom, ~(p5), file('<stdin>', ax77)).
% 5.48/5.71 thf(nax4, axiom, (p4<=fmember_Secrecy_KS @ (fsecrecy_sKS @ fsecret) @ (flocalSecrets @ fp)), file('<stdin>', nax4)).
% 5.48/5.71 thf(ax78, axiom, ~(p4), file('<stdin>', ax78)).
% 5.48/5.71 thf(ax76, axiom, p6, file('<stdin>', ax76)).
% 5.48/5.71 thf(pax1, axiom, (p1=>fcorrec965049635ionLoc @ fpq), file('<stdin>', pax1)).
% 5.48/5.71 thf(pax73, axiom, (p73=>fmember_Secrecy_KS @ (fsecrecy_sKS @ fsecret) @ (flocalSecrets @ fpq)), file('<stdin>', pax73)).
% 5.48/5.71 thf(ax81, axiom, p1, file('<stdin>', ax81)).
% 5.48/5.71 thf(ax9, axiom, p73, file('<stdin>', ax9)).
% 5.48/5.71 thf(c_0_18, plain, ![X508:secrecy_Secrets, X509:secrecy_specID, X510:secrecy_specID, X511:secrecy_specID]:(~p14|(~fmember_Secrecy_KS @ (fsecrecy_sKS @ X508) @ (flocalSecrets @ X509)|((fsubcomponents @ X509)!=(finsert1671894227specID @ X510 @ (finsert1671894227specID @ X511 @ fbot_bo1785112429specID))|(~fcorrec965049635ionLoc @ X509|(fine @ X511 @ (fsecrecy_sE @ X508)|(fmember_Secrecy_KS @ (fsecrecy_sKS @ X508) @ (flocalSecrets @ X510)|(fmember_Secrecy_KS @ (fsecrecy_sKS @ X508) @ (flocalSecrets @ X511)|fine @ X510 @ (fsecrecy_sE @ X508)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax14])])])])).
% 5.48/5.71 thf(c_0_19, plain, (~p7|(fm)=(fsecrecy_sKS @ fsecret)), inference(fof_nnf,[status(thm)],[pax7])).
% 5.48/5.71 thf(c_0_20, plain, ![X2:secrecy_specID, X30:secrecy_specID, X6:secrecy_Secrets, X1:secrecy_specID]:(fine @ X30 @ (fsecrecy_sE @ X6)|fmember_Secrecy_KS @ (fsecrecy_sKS @ X6) @ (flocalSecrets @ X2)|fmember_Secrecy_KS @ (fsecrecy_sKS @ X6) @ (flocalSecrets @ X30)|fine @ X2 @ (fsecrecy_sE @ X6)|~p14|~fmember_Secrecy_KS @ (fsecrecy_sKS @ X6) @ (flocalSecrets @ X1)|(fsubcomponents @ X1)!=(finsert1671894227specID @ X2 @ (finsert1671894227specID @ X30 @ fbot_bo1785112429specID))|~fcorrec965049635ionLoc @ X1), inference(split_conjunct,[status(thm)],[c_0_18])).
% 5.48/5.71 thf(c_0_21, plain, p14, inference(split_conjunct,[status(thm)],[ax68])).
% 5.48/5.71 thf(c_0_22, plain, ((fm)=(fsecrecy_sKS @ fsecret)|~p7), inference(split_conjunct,[status(thm)],[c_0_19])).
% 5.48/5.71 thf(c_0_23, plain, p7, inference(split_conjunct,[status(thm)],[ax75])).
% 5.48/5.71 thf(c_0_24, plain, (~p6|(fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))), inference(fof_nnf,[status(thm)],[pax6])).
% 5.48/5.71 thf(c_0_25, plain, (~fine @ fq @ (fsecrecy_sE @ fsecret)|p3), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax3])])).
% 5.48/5.71 thf(c_0_26, plain, ~p3, inference(fof_simplification,[status(thm)],[ax79])).
% 5.48/5.71 thf(c_0_27, plain, (~fine @ fp @ (fsecrecy_sE @ fsecret)|p2), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax2])])).
% 5.48/5.71 thf(c_0_28, plain, ~p2, inference(fof_simplification,[status(thm)],[ax80])).
% 5.48/5.71 thf(c_0_29, plain, (~fmember_Secrecy_KS @ (fsecrecy_sKS @ fsecret) @ (flocalSecrets @ fq)|p5), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax5])])).
% 5.48/5.71 thf(c_0_30, plain, ~p5, inference(fof_simplification,[status(thm)],[ax77])).
% 5.48/5.71 thf(c_0_31, plain, (~fmember_Secrecy_KS @ (fsecrecy_sKS @ fsecret) @ (flocalSecrets @ fp)|p4), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax4])])).
% 5.48/5.71 thf(c_0_32, plain, ~p4, inference(fof_simplification,[status(thm)],[ax78])).
% 5.48/5.71 thf(c_0_33, plain, ![X1:secrecy_specID, X2:secrecy_specID, X6:secrecy_Secrets, X30:secrecy_specID]:(fmember_Secrecy_KS @ (fsecrecy_sKS @ X6) @ (flocalSecrets @ X1)|fmember_Secrecy_KS @ (fsecrecy_sKS @ X6) @ (flocalSecrets @ X2)|fine @ X1 @ (fsecrecy_sE @ X6)|fine @ X2 @ (fsecrecy_sE @ X6)|(fsubcomponents @ X30)!=(finsert1671894227specID @ X1 @ (finsert1671894227specID @ X2 @ fbot_bo1785112429specID))|~fmember_Secrecy_KS @ (fsecrecy_sKS @ X6) @ (flocalSecrets @ X30)|~fcorrec965049635ionLoc @ X30), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 5.48/5.71 thf(c_0_34, plain, (fsecrecy_sKS @ fsecret)=(fm), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 5.48/5.71 thf(c_0_35, plain, ((fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))|~p6), inference(split_conjunct,[status(thm)],[c_0_24])).
% 5.48/5.71 thf(c_0_36, plain, p6, inference(split_conjunct,[status(thm)],[ax76])).
% 5.48/5.71 thf(c_0_37, plain, (p3|~fine @ fq @ (fsecrecy_sE @ fsecret)), inference(split_conjunct,[status(thm)],[c_0_25])).
% 5.48/5.71 thf(c_0_38, plain, ~p3, inference(split_conjunct,[status(thm)],[c_0_26])).
% 5.48/5.71 thf(c_0_39, plain, (p2|~fine @ fp @ (fsecrecy_sE @ fsecret)), inference(split_conjunct,[status(thm)],[c_0_27])).
% 5.48/5.71 thf(c_0_40, plain, ~p2, inference(split_conjunct,[status(thm)],[c_0_28])).
% 5.48/5.71 thf(c_0_41, plain, (p5|~fmember_Secrecy_KS @ (fsecrecy_sKS @ fsecret) @ (flocalSecrets @ fq)), inference(split_conjunct,[status(thm)],[c_0_29])).
% 5.48/5.71 thf(c_0_42, plain, ~p5, inference(split_conjunct,[status(thm)],[c_0_30])).
% 5.48/5.71 thf(c_0_43, plain, (p4|~fmember_Secrecy_KS @ (fsecrecy_sKS @ fsecret) @ (flocalSecrets @ fp)), inference(split_conjunct,[status(thm)],[c_0_31])).
% 5.48/5.71 thf(c_0_44, plain, ~p4, inference(split_conjunct,[status(thm)],[c_0_32])).
% 5.48/5.71 thf(c_0_45, plain, (~p1|fcorrec965049635ionLoc @ fpq), inference(fof_nnf,[status(thm)],[pax1])).
% 5.48/5.71 thf(c_0_46, plain, (~p73|fmember_Secrecy_KS @ (fsecrecy_sKS @ fsecret) @ (flocalSecrets @ fpq)), inference(fof_nnf,[status(thm)],[pax73])).
% 5.48/5.71 thf(c_0_47, plain, ![X1:secrecy_specID, X2:secrecy_specID, X30:secrecy_specID]:(fine @ X1 @ (fsecrecy_sE @ fsecret)|fine @ X2 @ (fsecrecy_sE @ fsecret)|fmember_Secrecy_KS @ fm @ (flocalSecrets @ X1)|fmember_Secrecy_KS @ fm @ (flocalSecrets @ X2)|(fsubcomponents @ X30)!=(finsert1671894227specID @ X2 @ (finsert1671894227specID @ X1 @ fbot_bo1785112429specID))|~fmember_Secrecy_KS @ fm @ (flocalSecrets @ X30)|~fcorrec965049635ionLoc @ X30), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 5.48/5.71 thf(c_0_48, plain, (finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))=(fsubcomponents @ fpq), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 5.48/5.71 thf(c_0_49, plain, ~fine @ fq @ (fsecrecy_sE @ fsecret), inference(sr,[status(thm)],[c_0_37, c_0_38])).
% 5.48/5.71 thf(c_0_50, plain, ~fine @ fp @ (fsecrecy_sE @ fsecret), inference(sr,[status(thm)],[c_0_39, c_0_40])).
% 5.48/5.71 thf(c_0_51, plain, ~fmember_Secrecy_KS @ fm @ (flocalSecrets @ fq), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_34]), c_0_42])).
% 5.48/5.71 thf(c_0_52, plain, ~fmember_Secrecy_KS @ fm @ (flocalSecrets @ fp), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_34]), c_0_44])).
% 5.48/5.71 thf(c_0_53, plain, (fcorrec965049635ionLoc @ fpq|~p1), inference(split_conjunct,[status(thm)],[c_0_45])).
% 5.48/5.71 thf(c_0_54, plain, p1, inference(split_conjunct,[status(thm)],[ax81])).
% 5.48/5.71 thf(c_0_55, plain, (fmember_Secrecy_KS @ (fsecrecy_sKS @ fsecret) @ (flocalSecrets @ fpq)|~p73), inference(split_conjunct,[status(thm)],[c_0_46])).
% 5.48/5.71 thf(c_0_56, plain, p73, inference(split_conjunct,[status(thm)],[ax9])).
% 5.48/5.71 thf(c_0_57, plain, ![X1:secrecy_specID]:((fsubcomponents @ X1)!=(fsubcomponents @ fpq)|~fmember_Secrecy_KS @ fm @ (flocalSecrets @ X1)|~fcorrec965049635ionLoc @ X1), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52])).
% 5.48/5.71 thf(c_0_58, plain, fcorrec965049635ionLoc @ fpq, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])])).
% 5.48/5.71 thf(c_0_59, plain, fmember_Secrecy_KS @ fm @ (flocalSecrets @ fpq), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_34]), c_0_56])])).
% 5.48/5.71 thf(c_0_60, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])]), ['proof']).
% 5.48/5.71 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 5.48/5.71 thf(0,theorem,(~(((member_Secrecy_KS @ (secrecy_sKS @ secret)) @ (localSecrets @ pq)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 5.48/5.71 % SZS output end Proof
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