TSTP Solution File: SWV301-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV301-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %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 : Wed Jul 20 21:11:39 EDT 2022
% Result : Unsatisfiable 0.71s 0.97s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV301-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 02:03:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/0.97 ============================== Prover9 ===============================
% 0.71/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.71/0.97 Process 2306 was started by sandbox2 on n024.cluster.edu,
% 0.71/0.97 Thu Jun 16 02:03:03 2022
% 0.71/0.97 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2146_n024.cluster.edu".
% 0.71/0.97 ============================== end of head ===========================
% 0.71/0.97
% 0.71/0.97 ============================== INPUT =================================
% 0.71/0.97
% 0.71/0.97 % Reading from file /tmp/Prover9_2146_n024.cluster.edu
% 0.71/0.97
% 0.71/0.97 set(prolog_style_variables).
% 0.71/0.97 set(auto2).
% 0.71/0.97 % set(auto2) -> set(auto).
% 0.71/0.97 % set(auto) -> set(auto_inference).
% 0.71/0.97 % set(auto) -> set(auto_setup).
% 0.71/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.71/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/0.97 % set(auto) -> set(auto_limits).
% 0.71/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/0.97 % set(auto) -> set(auto_denials).
% 0.71/0.97 % set(auto) -> set(auto_process).
% 0.71/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.71/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.71/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.71/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.71/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.71/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.71/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.71/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.71/0.97 % set(auto2) -> assign(stats, some).
% 0.71/0.97 % set(auto2) -> clear(echo_input).
% 0.71/0.97 % set(auto2) -> set(quiet).
% 0.71/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.71/0.97 % set(auto2) -> clear(print_given).
% 0.71/0.97 assign(lrs_ticks,-1).
% 0.71/0.97 assign(sos_limit,10000).
% 0.71/0.97 assign(order,kbo).
% 0.71/0.97 set(lex_order_vars).
% 0.71/0.97 clear(print_given).
% 0.71/0.97
% 0.71/0.97 % formulas(sos). % not echoed (13 formulas)
% 0.71/0.97
% 0.71/0.97 ============================== end of input ==========================
% 0.71/0.97
% 0.71/0.97 % From the command line: assign(max_seconds, 300).
% 0.71/0.97
% 0.71/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/0.97
% 0.71/0.97 % Formulas that are not ordinary clauses:
% 0.71/0.97
% 0.71/0.97 ============================== end of process non-clausal formulas ===
% 0.71/0.97
% 0.71/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.71/0.97
% 0.71/0.97 ============================== PREDICATE ELIMINATION =================
% 0.71/0.97
% 0.71/0.97 ============================== end predicate elimination =============
% 0.71/0.97
% 0.71/0.97 Auto_denials: (non-Horn, no changes).
% 0.71/0.97
% 0.71/0.97 Term ordering decisions:
% 0.71/0.97 Function symbol KB weights: tc_Message_Omsg=1. v_B=1. tc_Event_Oevent=1. v_evsf=1. c_Message_Oagent_OSpy=1. v_NA=1. v_A=1. v_NB=1. v_K=1. c_Message_Oagent_OServer=1. c_Event_Obad=1. c_OtwayRees_Ootway=1. tc_Message_Oagent=1. v_X=1. v_x=1. c_Message_Omsg_OMPair=1. c_Message_Omsg_OCrypt=1. c_Event_Oknows=1. c_List_Oset=1. c_Message_Omsg_OAgent=1. c_Public_OshrK=1. c_Message_Omsg_OKey=1. c_Message_Oparts=1. c_Message_Oanalz=1. c_Message_Osynth=1. tc_List_Olist=1. c_Event_Oevent_OSays=1. c_insert=1. c_union=1.
% 0.71/0.97
% 0.71/0.97 ============================== end of process initial clauses ========
% 0.71/0.97
% 0.71/0.97 ============================== CLAUSES FOR SEARCH ====================
% 0.71/0.97
% 0.71/0.97 ============================== end of clauses for search =============
% 0.71/0.97
% 0.71/0.97 ============================== SEARCH ================================
% 0.71/0.97
% 0.71/0.97 % Starting search at 0.01 seconds.
% 0.71/0.97
% 0.71/0.97 ============================== PROOF =================================
% 0.71/0.97 % SZS status Unsatisfiable
% 0.71/0.97 % SZS output start Refutation
% 0.71/0.97
% 0.71/0.97 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.71/0.97 % Length of proof is 24.
% 0.71/0.97 % Level of proof is 6.
% 0.71/0.97 % Maximum clause weight is 43.000.
% 0.71/0.97 % Given clauses 23.
% 0.71/0.97
% 0.71/0.97 1 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) # label(cls_Event_OSpy_A_58_Abad_0) # label(axiom). [assumption].
% 0.71/0.97 2 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.71/0.97 3 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.71/0.97 4 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 0.71/0.97 5 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) | v_B = c_Message_Oagent_OSpy # label(cls_conjecture_5) # label(negated_conjecture). [assumption].
% 0.71/0.97 6 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) | c_Message_Oagent_OSpy = v_B. [copy(5),flip(b)].
% 0.71/0.97 7 -c_in(v_B,c_Event_Obad,tc_Message_Oagent) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.71/0.97 8 -c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 0.71/0.97 9 -c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) | c_in(A,c_Message_Oparts(B),tc_Message_Omsg) # label(cls_Message_Oanalz__into__parts__dest_0) # label(axiom). [assumption].
% 0.71/0.97 10 -c_in(A,c_union(B,C,D),D) | c_in(A,C,D) | c_in(A,B,D) # label(cls_Set_OUnE_0) # label(axiom). [assumption].
% 0.71/0.97 11 -c_in(c_Message_Omsg_OCrypt(A,B),c_Message_Osynth(C),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(A,B),C,tc_Message_Omsg) | c_in(c_Message_Omsg_OKey(A),C,tc_Message_Omsg) # label(cls_Message_OCrypt__synth_0) # label(axiom). [assumption].
% 0.71/0.97 12 -c_in(A,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) | -c_in(c_Message_Omsg_OKey(c_Public_OshrK(B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,A)),tc_Message_Omsg) | c_in(B,c_Event_Obad,tc_Message_Oagent) # label(cls_OtwayRees_OSpy__see__shrK__D__dest_0) # label(axiom). [assumption].
% 0.71/0.97 13 -c_in(A,c_Message_Oparts(c_insert(B,C,tc_Message_Omsg)),tc_Message_Omsg) | -c_in(B,c_Message_Osynth(c_Message_Oanalz(C)),tc_Message_Omsg) | c_in(A,c_union(c_Message_Osynth(c_Message_Oanalz(C)),c_Message_Oparts(C),tc_Message_Omsg),tc_Message_Omsg) # label(cls_Message_OFake__parts__insert__in__Un__dest_0) # label(axiom). [assumption].
% 0.71/0.97 14 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) # label(cls_conjecture_8) # label(negated_conjecture). [assumption].
% 0.71/0.97 15 -c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) | -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg). [copy(14),unit_del(a,8)].
% 0.71/0.97 19 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg). [ur(12,a,2,a,c,7,a)].
% 0.71/0.97 20 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg). [resolve(13,a,4,a),unit_del(a,3)].
% 0.71/0.97 21 -c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) | c_Message_Oagent_OSpy = v_B. [resolve(15,a,6,a)].
% 0.71/0.97 29 -c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg). [ur(9,b,19,a)].
% 0.71/0.97 38 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg). [resolve(20,a,10,a)].
% 0.71/0.97 39 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg). [resolve(38,b,11,a),unit_del(c,29)].
% 0.71/0.97 40 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg). [resolve(39,b,9,a),merge(b)].
% 0.71/0.97 41 c_Message_Oagent_OSpy = v_B. [back_unit_del(21),unit_del(a,40)].
% 0.71/0.97 54 $F. [back_rewrite(1),rewrite([41(1)]),unit_del(a,7)].
% 0.71/0.97
% 0.71/0.97 % SZS output end Refutation
% 0.71/0.97 ============================== end of proof ==========================
% 0.71/0.97
% 0.71/0.97 ============================== STATISTICS ============================
% 0.71/0.97
% 0.71/0.97 Given=23. Generated=64. Kept=51. proofs=1.
% 0.71/0.97 Usable=11. Sos=10. Demods=1. Limbo=13, Disabled=30. Hints=0.
% 0.71/0.97 Megabytes=0.13.
% 0.71/0.97 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.71/0.97
% 0.71/0.97 ============================== end of statistics =====================
% 0.71/0.97
% 0.71/0.97 ============================== end of search =========================
% 0.71/0.97
% 0.71/0.97 THEOREM PROVED
% 0.71/0.97 % SZS status Unsatisfiable
% 0.71/0.97
% 0.71/0.97 Exiting with 1 proof.
% 0.71/0.97
% 0.71/0.97 Process 2306 exit (max_proofs) Thu Jun 16 02:03:03 2022
% 0.71/0.97 Prover9 interrupted
%------------------------------------------------------------------------------