TSTP Solution File: SWV284-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV284-2 : 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 : n002.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 18:56:10 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  13   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(resolution,[],[f30,f1]) ).

fof(f1,axiom,
    ! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f30,plain,
    ! [X2,X3] : ~ c_lessequals(c_plus(X2,v_N,tc_nat),v_x(c_plus(v_sko__upX(v_msg),X3,tc_nat)),tc_nat),
    inference(resolution,[],[f26,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4] :
      ( c_lessequals(X3,X4,tc_nat)
      | ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).

fof(f26,plain,
    ! [X0] : ~ c_lessequals(v_N,v_x(c_plus(v_sko__upX(v_msg),X0,tc_nat)),tc_nat),
    inference(resolution,[],[f10,f1]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(c_plus(v_sko__upX(v_msg),X1,tc_nat),v_x(X0),tc_nat)
      | ~ c_lessequals(v_N,v_x(X0),tc_nat) ),
    inference(resolution,[],[f8,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X4] :
      ( c_lessequals(X2,X4,tc_nat)
      | ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).

fof(f8,plain,
    ! [X0] :
      ( ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat)
      | ~ c_lessequals(v_N,v_x(X0),tc_nat) ),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg)
      | ~ c_lessequals(v_N,X0,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f7,plain,
    ! [X0] :
      ( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
      | ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat) ),
    inference(resolution,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(v_sko__upX(X1),X0,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV284-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % 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 : n002.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 19:24:59 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (434)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (455)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51  % (434)Refutation not found, incomplete strategy% (434)------------------------------
% 0.19/0.51  % (434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (438)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (442)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (434)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (434)Memory used [KB]: 5373
% 0.19/0.51  % (434)Time elapsed: 0.113 s
% 0.19/0.51  % (434)Instructions burned: 1 (million)
% 0.19/0.51  % (434)------------------------------
% 0.19/0.51  % (434)------------------------------
% 0.19/0.52  % (442)First to succeed.
% 0.19/0.52  % (456)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52  % (442)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (442)------------------------------
% 0.19/0.52  % (442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (442)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (442)Memory used [KB]: 895
% 0.19/0.52  % (442)Time elapsed: 0.116 s
% 0.19/0.52  % (442)Instructions burned: 1 (million)
% 0.19/0.52  % (442)------------------------------
% 0.19/0.52  % (442)------------------------------
% 0.19/0.52  % (432)Success in time 0.17 s
%------------------------------------------------------------------------------