TSTP Solution File: ITP086^1 by Satallax---3.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : ITP086^1 : 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 : n017.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 00:29:03 EDT 2022

% Result   : Theorem 2.34s 2.59s
% Output   : Proof 2.34s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP086^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun  4 00:09:59 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 2.34/2.59  % SZS status Theorem
% 2.34/2.59  % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 2.34/2.59  % Inferences: 4
% 2.34/2.59  % SZS output start Proof
% 2.34/2.59  thf(conj_0,conjecture,((member1967978193chanID @ ch) @ (loc @ pq))).
% 2.34/2.59  thf(h0,negated_conjecture,(~(((member1967978193chanID @ ch) @ (loc @ pq)))),inference(assume_negation,[status(cth)],[conj_0])).
% 2.34/2.59  thf(pax6, axiom, (p6=>![X88:secrecy_specID, X89:secrecy_specID, X90:secrecy_specID, X91:secrecy_chanID]:((fsubcomponents @ X88)=(finsert1671894227specID @ X89 @ (finsert1671894227specID @ X90 @ fbot_bo1785112429specID))=>(fcorrectCompositionIn @ X88=>(~(fmember1967978193chanID @ X91 @ (floc @ X88))=>(fmember1967978193chanID @ X91 @ (fins @ X89)=>fmember1967978193chanID @ X91 @ (fins @ X88)))))), file('<stdin>', pax6)).
% 2.34/2.59  thf(pax5, axiom, (p5=>(fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))), file('<stdin>', pax5)).
% 2.34/2.59  thf(ax66, axiom, p6, file('<stdin>', ax66)).
% 2.34/2.59  thf(ax67, axiom, p5, file('<stdin>', ax67)).
% 2.34/2.59  thf(pax3, axiom, (p3=>fmember1967978193chanID @ fch @ (fins @ fp)), file('<stdin>', pax3)).
% 2.34/2.59  thf(pax4, axiom, (p4=>![X92:secrecy_chanID]:(fmember1967978193chanID @ X92 @ (fins @ fpq)=>~(fexprChannel @ X92 @ fm))), file('<stdin>', pax4)).
% 2.34/2.59  thf(ax69, axiom, p3, file('<stdin>', ax69)).
% 2.34/2.59  thf(pax2, axiom, (p2=>fexprChannel @ fch @ fm), file('<stdin>', pax2)).
% 2.34/2.59  thf(pax1, axiom, (p1=>fcorrectCompositionIn @ fpq), file('<stdin>', pax1)).
% 2.34/2.59  thf(nax70, axiom, (p70<=fmember1967978193chanID @ fch @ (floc @ fpq)), file('<stdin>', nax70)).
% 2.34/2.59  thf(ax2, axiom, ~(p70), file('<stdin>', ax2)).
% 2.34/2.59  thf(ax68, axiom, p4, file('<stdin>', ax68)).
% 2.34/2.59  thf(ax70, axiom, p2, file('<stdin>', ax70)).
% 2.34/2.59  thf(ax71, axiom, p1, file('<stdin>', ax71)).
% 2.34/2.59  thf(c_0_14, plain, ![X527:secrecy_specID, X528:secrecy_specID, X529:secrecy_specID, X530:secrecy_chanID]:(~p6|((fsubcomponents @ X527)!=(finsert1671894227specID @ X528 @ (finsert1671894227specID @ X529 @ fbot_bo1785112429specID))|(~fcorrectCompositionIn @ X527|(fmember1967978193chanID @ X530 @ (floc @ X527)|(~fmember1967978193chanID @ X530 @ (fins @ X528)|fmember1967978193chanID @ X530 @ (fins @ X527)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax6])])])])).
% 2.34/2.59  thf(c_0_15, plain, (~p5|(fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))), inference(fof_nnf,[status(thm)],[pax5])).
% 2.34/2.59  thf(c_0_16, plain, ![X3:secrecy_chanID, X9:secrecy_specID, X11:secrecy_specID, X10:secrecy_specID]:(fmember1967978193chanID @ X3 @ (floc @ X9)|fmember1967978193chanID @ X3 @ (fins @ X9)|~p6|(fsubcomponents @ X9)!=(finsert1671894227specID @ X10 @ (finsert1671894227specID @ X11 @ fbot_bo1785112429specID))|~fcorrectCompositionIn @ X9|~fmember1967978193chanID @ X3 @ (fins @ X10)), inference(split_conjunct,[status(thm)],[c_0_14])).
% 2.34/2.59  thf(c_0_17, plain, p6, inference(split_conjunct,[status(thm)],[ax66])).
% 2.34/2.59  thf(c_0_18, plain, ((fsubcomponents @ fpq)=(finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))|~p5), inference(split_conjunct,[status(thm)],[c_0_15])).
% 2.34/2.59  thf(c_0_19, plain, p5, inference(split_conjunct,[status(thm)],[ax67])).
% 2.34/2.59  thf(c_0_20, plain, (~p3|fmember1967978193chanID @ fch @ (fins @ fp)), inference(fof_nnf,[status(thm)],[pax3])).
% 2.34/2.59  thf(c_0_21, plain, ![X535:secrecy_chanID]:(~p4|(~fmember1967978193chanID @ X535 @ (fins @ fpq)|~fexprChannel @ X535 @ fm)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax4])])])])).
% 2.34/2.59  thf(c_0_22, plain, ![X3:secrecy_chanID, X11:secrecy_specID, X10:secrecy_specID, X9:secrecy_specID]:(fmember1967978193chanID @ X3 @ (floc @ X9)|fmember1967978193chanID @ X3 @ (fins @ X9)|(fsubcomponents @ X9)!=(finsert1671894227specID @ X10 @ (finsert1671894227specID @ X11 @ fbot_bo1785112429specID))|~fmember1967978193chanID @ X3 @ (fins @ X10)|~fcorrectCompositionIn @ X9), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 2.34/2.59  thf(c_0_23, plain, (finsert1671894227specID @ fp @ (finsert1671894227specID @ fq @ fbot_bo1785112429specID))=(fsubcomponents @ fpq), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 2.34/2.59  thf(c_0_24, plain, (fmember1967978193chanID @ fch @ (fins @ fp)|~p3), inference(split_conjunct,[status(thm)],[c_0_20])).
% 2.34/2.59  thf(c_0_25, plain, p3, inference(split_conjunct,[status(thm)],[ax69])).
% 2.34/2.59  thf(c_0_26, plain, (~p2|fexprChannel @ fch @ fm), inference(fof_nnf,[status(thm)],[pax2])).
% 2.34/2.59  thf(c_0_27, plain, (~p1|fcorrectCompositionIn @ fpq), inference(fof_nnf,[status(thm)],[pax1])).
% 2.34/2.59  thf(c_0_28, plain, (~fmember1967978193chanID @ fch @ (floc @ fpq)|p70), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax70])])).
% 2.34/2.59  thf(c_0_29, plain, ~p70, inference(fof_simplification,[status(thm)],[ax2])).
% 2.34/2.59  thf(c_0_30, plain, ![X3:secrecy_chanID]:(~p4|~fmember1967978193chanID @ X3 @ (fins @ fpq)|~fexprChannel @ X3 @ fm), inference(split_conjunct,[status(thm)],[c_0_21])).
% 2.34/2.59  thf(c_0_31, plain, p4, inference(split_conjunct,[status(thm)],[ax68])).
% 2.34/2.59  thf(c_0_32, plain, ![X3:secrecy_chanID, X9:secrecy_specID]:(fmember1967978193chanID @ X3 @ (floc @ X9)|fmember1967978193chanID @ X3 @ (fins @ X9)|(fsubcomponents @ X9)!=(fsubcomponents @ fpq)|~fmember1967978193chanID @ X3 @ (fins @ fp)|~fcorrectCompositionIn @ X9), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 2.34/2.59  thf(c_0_33, plain, fmember1967978193chanID @ fch @ (fins @ fp), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 2.34/2.59  thf(c_0_34, plain, (fexprChannel @ fch @ fm|~p2), inference(split_conjunct,[status(thm)],[c_0_26])).
% 2.34/2.59  thf(c_0_35, plain, p2, inference(split_conjunct,[status(thm)],[ax70])).
% 2.34/2.59  thf(c_0_36, plain, (fcorrectCompositionIn @ fpq|~p1), inference(split_conjunct,[status(thm)],[c_0_27])).
% 2.34/2.59  thf(c_0_37, plain, p1, inference(split_conjunct,[status(thm)],[ax71])).
% 2.34/2.59  thf(c_0_38, plain, (p70|~fmember1967978193chanID @ fch @ (floc @ fpq)), inference(split_conjunct,[status(thm)],[c_0_28])).
% 2.34/2.59  thf(c_0_39, plain, ~p70, inference(split_conjunct,[status(thm)],[c_0_29])).
% 2.34/2.59  thf(c_0_40, plain, ![X3:secrecy_chanID]:(~fmember1967978193chanID @ X3 @ (fins @ fpq)|~fexprChannel @ X3 @ fm), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 2.34/2.59  thf(c_0_41, plain, ![X9:secrecy_specID]:(fmember1967978193chanID @ fch @ (fins @ X9)|fmember1967978193chanID @ fch @ (floc @ X9)|(fsubcomponents @ X9)!=(fsubcomponents @ fpq)|~fcorrectCompositionIn @ X9), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 2.34/2.59  thf(c_0_42, plain, fexprChannel @ fch @ fm, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 2.34/2.59  thf(c_0_43, plain, fcorrectCompositionIn @ fpq, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 2.34/2.59  thf(c_0_44, plain, ~fmember1967978193chanID @ fch @ (floc @ fpq), inference(sr,[status(thm)],[c_0_38, c_0_39])).
% 2.34/2.59  thf(c_0_45, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42]), c_0_43])]), c_0_44]), ['proof']).
% 2.34/2.59  thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.34/2.59  thf(0,theorem,((member1967978193chanID @ ch) @ (loc @ pq)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.34/2.59  % SZS output end Proof
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