TSTP Solution File: ITP090^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP090^1 : 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 : n020.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 9.57s 9.68s
% Output : Proof 9.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP090^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 3 04:07:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.57/9.68 % SZS status Theorem
% 9.57/9.68 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 9.57/9.68 % Inferences: 87
% 9.57/9.68 % SZS output start Proof
% 9.57/9.68 thf(conj_0,conjecture,(~(((member_Secrecy_KS @ (secrecy_kKS @ key)) @ (localSecrets @ q))))).
% 9.57/9.68 thf(h0,negated_conjecture,((member_Secrecy_KS @ (secrecy_kKS @ key)) @ (localSecrets @ q)),inference(assume_negation,[status(cth)],[conj_0])).
% 9.57/9.68 thf(ax55, axiom, (~(p7)|p247), file('<stdin>', ax55)).
% 9.57/9.68 thf(pax2, axiom, (p2=>(fm)=(fsecrecy_kKS @ fkey)), file('<stdin>', pax2)).
% 9.57/9.68 thf(ax15, axiom, (~(p247)|p283), file('<stdin>', ax15)).
% 9.57/9.68 thf(ax296, axiom, p7, file('<stdin>', ax296)).
% 9.57/9.68 thf(nax290, axiom, (p290<=(~(fine @ fq @ (fsecrecy_kE @ fkey))=>fmember_Secrecy_KS @ (fsecrecy_kKS @ fkey) @ (flocalSecrets @ fq))), file('<stdin>', nax290)).
% 9.57/9.68 thf(ax301, axiom, p2, file('<stdin>', ax301)).
% 9.57/9.68 thf(pax72, axiom, (p72=>fmember_Secrecy_KS @ (fsecrecy_kKS @ fkey) @ (flocalSecrets @ fq)), file('<stdin>', pax72)).
% 9.57/9.68 thf(nax1, axiom, (p1<=fknowle945212990e_know @ fq @ fm), file('<stdin>', nax1)).
% 9.57/9.68 thf(ax302, axiom, ~(p1), file('<stdin>', ax302)).
% 9.57/9.68 thf(ax8, axiom, (~(p283)|p289|~(p290)), file('<stdin>', ax8)).
% 9.57/9.68 thf(ax231, axiom, p72, file('<stdin>', ax231)).
% 9.57/9.68 thf(pax289, axiom, (p289=>fknowle945212990e_know @ fq @ (fsecrecy_kKS @ fkey)), file('<stdin>', pax289)).
% 9.57/9.68 thf(c_0_12, plain, (~p7|p247), inference(fof_simplification,[status(thm)],[ax55])).
% 9.57/9.68 thf(c_0_13, plain, (~p2|(fm)=(fsecrecy_kKS @ fkey)), inference(fof_nnf,[status(thm)],[pax2])).
% 9.57/9.68 thf(c_0_14, plain, (~p247|p283), inference(fof_simplification,[status(thm)],[ax15])).
% 9.57/9.68 thf(c_0_15, plain, (p247|~p7), inference(split_conjunct,[status(thm)],[c_0_12])).
% 9.57/9.68 thf(c_0_16, plain, p7, inference(split_conjunct,[status(thm)],[ax296])).
% 9.57/9.68 thf(c_0_17, plain, ((~fine @ fq @ (fsecrecy_kE @ fkey)|p290)&(~fmember_Secrecy_KS @ (fsecrecy_kKS @ fkey) @ (flocalSecrets @ fq)|p290)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax290])])])).
% 9.57/9.68 thf(c_0_18, plain, ((fm)=(fsecrecy_kKS @ fkey)|~p2), inference(split_conjunct,[status(thm)],[c_0_13])).
% 9.57/9.68 thf(c_0_19, plain, p2, inference(split_conjunct,[status(thm)],[ax301])).
% 9.57/9.68 thf(c_0_20, plain, (~p72|fmember_Secrecy_KS @ (fsecrecy_kKS @ fkey) @ (flocalSecrets @ fq)), inference(fof_nnf,[status(thm)],[pax72])).
% 9.57/9.68 thf(c_0_21, plain, (~fknowle945212990e_know @ fq @ fm|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 9.57/9.68 thf(c_0_22, plain, ~p1, inference(fof_simplification,[status(thm)],[ax302])).
% 9.57/9.68 thf(c_0_23, plain, (~p283|p289|~p290), inference(fof_simplification,[status(thm)],[ax8])).
% 9.57/9.68 thf(c_0_24, plain, (p283|~p247), inference(split_conjunct,[status(thm)],[c_0_14])).
% 9.57/9.68 thf(c_0_25, plain, p247, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 9.57/9.68 thf(c_0_26, plain, (p290|~fmember_Secrecy_KS @ (fsecrecy_kKS @ fkey) @ (flocalSecrets @ fq)), inference(split_conjunct,[status(thm)],[c_0_17])).
% 9.57/9.68 thf(c_0_27, plain, (fsecrecy_kKS @ fkey)=(fm), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 9.57/9.68 thf(c_0_28, plain, (fmember_Secrecy_KS @ (fsecrecy_kKS @ fkey) @ (flocalSecrets @ fq)|~p72), inference(split_conjunct,[status(thm)],[c_0_20])).
% 9.57/9.68 thf(c_0_29, plain, p72, inference(split_conjunct,[status(thm)],[ax231])).
% 9.57/9.68 thf(c_0_30, plain, (~p289|fknowle945212990e_know @ fq @ (fsecrecy_kKS @ fkey)), inference(fof_nnf,[status(thm)],[pax289])).
% 9.57/9.68 thf(c_0_31, plain, (p1|~fknowle945212990e_know @ fq @ fm), inference(split_conjunct,[status(thm)],[c_0_21])).
% 9.57/9.68 thf(c_0_32, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_22])).
% 9.57/9.68 thf(c_0_33, plain, (p289|~p283|~p290), inference(split_conjunct,[status(thm)],[c_0_23])).
% 9.57/9.68 thf(c_0_34, plain, p283, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 9.57/9.68 thf(c_0_35, plain, (p290|~fmember_Secrecy_KS @ fm @ (flocalSecrets @ fq)), inference(rw,[status(thm)],[c_0_26, c_0_27])).
% 9.57/9.68 thf(c_0_36, plain, fmember_Secrecy_KS @ fm @ (flocalSecrets @ fq), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_27]), c_0_29])])).
% 9.57/9.68 thf(c_0_37, plain, (fknowle945212990e_know @ fq @ (fsecrecy_kKS @ fkey)|~p289), inference(split_conjunct,[status(thm)],[c_0_30])).
% 9.57/9.68 thf(c_0_38, plain, ~fknowle945212990e_know @ fq @ fm, inference(sr,[status(thm)],[c_0_31, c_0_32])).
% 9.57/9.68 thf(c_0_39, plain, (p289|~p290), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 9.57/9.68 thf(c_0_40, plain, p290, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 9.57/9.68 thf(c_0_41, plain, ~p289, inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_27]), c_0_38])).
% 9.57/9.68 thf(c_0_42, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])]), c_0_41]), ['proof']).
% 9.57/9.68 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 9.57/9.68 thf(0,theorem,(~(((member_Secrecy_KS @ (secrecy_kKS @ key)) @ (localSecrets @ q)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 9.57/9.68 % SZS output end Proof
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