TSTP Solution File: SWV352-2 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SWV352-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n003.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  : 300s
% DateTime : Mon Mar 25 14:38:33 EDT 2024

% Result   : Unsatisfiable 42.30s 42.50s
% Output   : Proof 42.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV352-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu Mar 21 08:05:04 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 42.30/42.50  % SZS status Unsatisfiable for theBenchmark
% 42.30/42.50  % SZS output start Proof for theBenchmark
% 42.30/42.50  
% 42.30/42.50  % Problem matrix:
% 42.30/42.50  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 42.30/42.50  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 42.30/42.50  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 42.30/42.50  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 42.30/42.50  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Public_OshrK(__eqx_0) = c_Public_OshrK(__eqy_0)) )).
% 42.30/42.50  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c_Message_Omsg_OAgent(__eqx_0) = c_Message_Omsg_OAgent(__eqy_0)) )).
% 42.30/42.50  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Message_Omsg_OKey(__eqx_0) = c_Message_Omsg_OKey(__eqy_0)) )).
% 42.30/42.50  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Message_Omsg_ONonce(__eqx_0) = c_Message_Omsg_ONonce(__eqy_0)) )).
% 42.30/42.50  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Message_Omsg_OMPair(__eqx_0, __eqx_1) = c_Message_Omsg_OMPair(__eqy_0, __eqy_1)) )).
% 42.30/42.50  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Message_Omsg_OCrypt(__eqx_0, __eqx_1) = c_Message_Omsg_OCrypt(__eqy_0, __eqy_1)) )).
% 42.30/42.50  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Event_Oevent_OSays(__eqx_0, __eqx_1, __eqx_2) = c_Event_Oevent_OSays(__eqy_0, __eqy_1, __eqy_2)) )).
% 42.30/42.50  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oset(__eqx_0, __eqx_1) = c_List_Oset(__eqy_0, __eqy_1)) )).
% 42.30/42.50  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Event_Oknows(__eqx_0, __eqx_1) = c_Event_Oknows(__eqy_0, __eqy_1)) )).
% 42.30/42.50  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( c_Message_Oanalz(__eqx_0) = c_Message_Oanalz(__eqy_0)) )).
% 42.30/42.50  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( c_Message_Oparts(__eqx_0) = c_Message_Oparts(__eqy_0)) )).
% 42.30/42.50  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Event_Oevent_OGets(__eqx_0, __eqx_1) = c_Event_Oevent_OGets(__eqy_0, __eqy_1)) )).
% 42.30/42.50  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_in(__eqx_0, __eqx_1, __eqx_2) | c_in(__eqy_0, __eqy_1, __eqy_2) )).
% 42.30/42.50  cnf(matrix-17, plain, ( c_in(v_evso, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) )).
% 42.30/42.50  cnf(matrix-18, plain, ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_Aa, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_ONonce(v_NBa))))), v_X)), c_List_Oset(v_evso, tc_Event_Oevent), tc_Event_Oevent) )).
% 42.30/42.50  cnf(matrix-19, plain, ( c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))))), c_List_Oset(v_evso, tc_Event_Oevent), tc_Event_Oevent) )).
% 42.30/42.50  cnf(matrix-20, plain, ( ~c_in(c_Message_Omsg_ONonce(v_NB), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evso)), tc_Message_Omsg) )).
% 42.30/42.50  cnf(matrix-21, plain, ( ~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_X, c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg) )).
% 42.30/42.50  cnf(matrix-22, plain, ( ~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg) )).
% 42.30/42.50  cnf(matrix-23, plain, ( ~c_in(V_X, V_H, tc_Message_Omsg) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) )).
% 42.30/42.50  cnf(matrix-24, plain, ( ( c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H)) )).
% 42.30/42.50  cnf(matrix-25, plain, ( ~c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) | ~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) )).
% 42.30/42.50  cnf(matrix-26, plain, ( ~c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) | ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, V_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(V_k, c_Message_Omsg_OMPair(V_na, V_nb)))), V_X)), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(V_na, V_nb))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) )).
% 42.30/42.50  cnf(matrix-27, plain, ( ~c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) | ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(V_na, c_Message_Omsg_ONonce(V_NB)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) | ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB), V_nb_H))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) | c_in(c_Message_Omsg_ONonce(V_NB), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) )).
% 42.30/42.50  
% 42.30/42.50  % Proof stack:
% 42.30/42.50  cnf(proof-stack, plain, 
% 42.30/42.50  proof_stack(
% 42.30/42.50  start(18), 
% 42.30/42.50  left_branch(0, 26, 1, 2), 
% 42.30/42.50  left_branch(0, 17, 0, 3), 
% 42.30/42.50  right_branch(3), 
% 42.30/42.50  left_branch(0, 25, 1, 4), 
% 42.30/42.50  lemmata(0, 0), 
% 42.30/42.50  left_branch(0, 23, 0, 6), 
% 42.30/42.50  left_branch(0, 22, 0, 7), 
% 42.30/42.50  left_branch(0, 16, 3, 8), 
% 42.30/42.50  left_branch(0, 9, 2, 9), 
% 42.30/42.50  left_branch(0, 4, 1, 10), 
% 42.30/42.50  left_branch(0, 1, 1, 11), 
% 42.30/42.50  left_branch(0, 0, 0, 12), 
% 42.30/42.50  right_branch(12), 
% 42.30/42.50  right_branch(11), 
% 42.30/42.50  right_branch(10), 
% 42.30/42.50  left_branch(0, 8, 2, 11), 
% 42.30/42.50  left_branch(0, 5, 1, 12), 
% 42.30/42.50  left_branch(0, 1, 1, 13), 
% 42.30/42.50  left_branch(0, 0, 0, 14), 
% 42.30/42.50  right_branch(14), 
% 42.30/42.50  right_branch(13), 
% 42.30/42.50  right_branch(12), 
% 42.30/42.50  left_branch(0, 8, 2, 13), 
% 42.30/42.50  left_branch(0, 7, 1, 14), 
% 42.30/42.50  left_branch(0, 0, 0, 15), 
% 42.30/42.50  right_branch(15), 
% 42.30/42.50  right_branch(14), 
% 42.30/42.50  left_branch(0, 7, 1, 15), 
% 42.30/42.50  left_branch(0, 0, 0, 16), 
% 42.30/42.50  right_branch(16), 
% 42.30/42.50  right_branch(15), 
% 42.30/42.50  right_branch(13), 
% 42.30/42.50  right_branch(11), 
% 42.30/42.50  right_branch(9), 
% 42.30/42.50  left_branch(0, 27, 2, 10), 
% 42.30/42.50  left_branch(0, 17, 0, 11), 
% 42.30/42.50  right_branch(11), 
% 42.30/42.50  left_branch(0, 20, 0, 12), 
% 42.30/42.50  right_branch(12), 
% 42.30/42.50  left_branch(0, 22, 1, 13), 
% 42.30/42.51  left_branch(0, 23, 1, 14), 
% 42.30/42.51  left_branch(0, 21, 1, 15), 
% 42.30/42.51  left_branch(0, 19, 0, 16), 
% 42.30/42.51  right_branch(16), 
% 42.30/42.51  right_branch(15), 
% 42.30/42.51  right_branch(14), 
% 42.30/42.51  right_branch(13), 
% 42.30/42.51  right_branch(10), 
% 42.30/42.51  left_branch(0, 0, 0, 11), 
% 42.30/42.51  right_branch(11), 
% 42.30/42.51  left_branch(0, 24, 0, 12), 
% 42.30/42.51  right_branch(12), 
% 42.30/42.51  right_branch(8), 
% 42.30/42.51  right_branch(7), 
% 42.30/42.51  right_branch(6), 
% 42.30/42.51  right_branch(4), 
% 42.30/42.51  right_branch(2)
% 42.30/42.51  )).
% 42.30/42.51  % SZS output end Proof for theBenchmark
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