TSTP Solution File: SWV310-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV310-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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  : 300s
% DateTime : Wed Aug 31 18:56:18 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   35 (  33 unt;   0 def)
%            Number of atoms       :   37 (  22 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   9   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   38 (  38 usr;  31 con; 0-3 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f29]) ).

fof(f29,plain,
    c_in(sF21,sF10,tc_Event_Oevent),
    inference(subsumption_resolution,[],[f26,f28]) ).

fof(f28,plain,
    c_in(sF9,sF10,tc_Event_Oevent),
    inference(definition_folding,[],[f1,f14,f13,f12,f11,f10,f9,f5,f8,f7,f6,f5,f4]) ).

fof(f4,plain,
    c_Public_OshrK(v_A) = sF0,
    introduced(function_definition,[]) ).

fof(f6,plain,
    sF2 = c_Message_Omsg_OMPair(v_NA,sF1),
    introduced(function_definition,[]) ).

fof(f7,plain,
    c_Message_Omsg_OCrypt(sF0,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f8,plain,
    c_Public_OshrK(v_B) = sF4,
    introduced(function_definition,[]) ).

fof(f5,plain,
    c_Message_Omsg_OKey(v_K) = sF1,
    introduced(function_definition,[]) ).

fof(f9,plain,
    c_Message_Omsg_OMPair(v_NB,sF1) = sF5,
    introduced(function_definition,[]) ).

fof(f10,plain,
    c_Message_Omsg_OCrypt(sF4,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f11,plain,
    sF7 = c_Message_Omsg_OMPair(sF3,sF6),
    introduced(function_definition,[]) ).

fof(f12,plain,
    sF8 = c_Message_Omsg_OMPair(v_NA,sF7),
    introduced(function_definition,[]) ).

fof(f13,plain,
    sF9 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,sF8),
    introduced(function_definition,[]) ).

fof(f14,plain,
    c_List_Oset(v_evs2,tc_Event_Oevent) = sF10,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    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_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f26,plain,
    ( ~ c_in(sF9,sF10,tc_Event_Oevent)
    | c_in(sF21,sF10,tc_Event_Oevent) ),
    inference(definition_folding,[],[f3,f14,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f8,f16,f15,f14,f13,f12,f11,f10,f9,f5,f8,f7,f6,f5,f4]) ).

fof(f15,plain,
    c_Message_Omsg_OAgent(v_A) = sF11,
    introduced(function_definition,[]) ).

fof(f16,plain,
    c_Message_Omsg_OAgent(v_B) = sF12,
    introduced(function_definition,[]) ).

fof(f17,plain,
    sF13 = c_Message_Omsg_OMPair(sF11,sF12),
    introduced(function_definition,[]) ).

fof(f18,plain,
    c_Message_Omsg_OMPair(v_NB,sF13) = sF14,
    introduced(function_definition,[]) ).

fof(f19,plain,
    c_Message_Omsg_OMPair(v_NA,sF14) = sF15,
    introduced(function_definition,[]) ).

fof(f20,plain,
    c_Message_Omsg_OCrypt(sF4,sF15) = sF16,
    introduced(function_definition,[]) ).

fof(f21,plain,
    sF17 = c_Message_Omsg_OMPair(v_x,sF16),
    introduced(function_definition,[]) ).

fof(f22,plain,
    sF18 = c_Message_Omsg_OMPair(sF12,sF17),
    introduced(function_definition,[]) ).

fof(f23,plain,
    sF19 = c_Message_Omsg_OMPair(sF11,sF18),
    introduced(function_definition,[]) ).

fof(f24,plain,
    sF20 = c_Message_Omsg_OMPair(v_NA,sF19),
    introduced(function_definition,[]) ).

fof(f25,plain,
    c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,sF20) = sF21,
    introduced(function_definition,[]) ).

fof(f3,axiom,
    ( ~ 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_evs2,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(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_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f34,plain,
    ~ c_in(sF21,sF10,tc_Event_Oevent),
    inference(forward_demodulation,[],[f33,f25]) ).

fof(f33,plain,
    ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,sF20),sF10,tc_Event_Oevent),
    inference(forward_demodulation,[],[f32,f24]) ).

fof(f32,plain,
    ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,sF19)),sF10,tc_Event_Oevent),
    inference(forward_demodulation,[],[f31,f23]) ).

fof(f31,plain,
    ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF11,sF18))),sF10,tc_Event_Oevent),
    inference(forward_demodulation,[],[f30,f22]) ).

fof(f30,plain,
    ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF11,c_Message_Omsg_OMPair(sF12,sF17)))),sF10,tc_Event_Oevent),
    inference(superposition,[],[f27,f21]) ).

fof(f27,plain,
    ! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF11,c_Message_Omsg_OMPair(sF12,c_Message_Omsg_OMPair(X0,sF16))))),sF10,tc_Event_Oevent),
    inference(definition_folding,[],[f2,f14,f20,f19,f18,f17,f16,f15,f8,f16,f15]) ).

fof(f2,axiom,
    ! [X0] : ~ 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(X0,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_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWV310-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:38:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.56  % (10753)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.57  % (10753)First to succeed.
% 0.19/0.57  % (10768)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.57  % (10753)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (10753)------------------------------
% 0.19/0.57  % (10753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (10753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (10753)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (10753)Memory used [KB]: 5373
% 0.19/0.57  % (10753)Time elapsed: 0.140 s
% 0.19/0.57  % (10753)Instructions burned: 3 (million)
% 0.19/0.57  % (10753)------------------------------
% 0.19/0.57  % (10753)------------------------------
% 0.19/0.57  % (10740)Success in time 0.225 s
%------------------------------------------------------------------------------