TSTP Solution File: SWV281-2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 : Tue Apr 30 16:44:01 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   18 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f9]) ).

fof(f9,plain,
    ! [X0] : ~ c_in(c_Message_Omsg_ONonce(v_sko__urX(X0)),c_Event_Oused(X0),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f7,f6]) ).

fof(f6,axiom,
    ! [X0,X9] :
      ( ~ c_lessequals(v_sko__urX(X9),X0,tc_nat)
      | ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X9),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).

fof(f7,plain,
    ! [X0] : c_lessequals(X0,X0,tc_nat),
    inference(superposition,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X8] : c_plus(c_0,X8,tc_nat) = X8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).

fof(f3,axiom,
    ! [X6,X5] : c_lessequals(X5,c_plus(X6,X5,tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__add2_0) ).

fof(f34,plain,
    c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs_H)),c_Event_Oused(v_evs_H),tc_Message_Omsg),
    inference(forward_demodulation,[],[f27,f28]) ).

fof(f28,plain,
    ! [X0] : v_sko__urX(v_evs_H) = c_plus(X0,v_sko__urX(v_evs),tc_nat),
    inference(unit_resulting_resolution,[],[f9,f8,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f8,plain,
    ! [X0,X1] : ~ c_in(c_Message_Omsg_ONonce(c_plus(X0,v_sko__urX(X1),tc_nat)),c_Event_Oused(X1),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f3,f6]) ).

fof(f27,plain,
    c_in(c_Message_Omsg_ONonce(c_plus(c_List_Olist_ONil,v_sko__urX(v_evs),tc_nat)),c_Event_Oused(v_evs_H),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f14,f8,f1]) ).

fof(f14,plain,
    ! [X2,X3,X0,X1] : c_plus(c_List_Olist_ONil,X0,tc_nat) != c_plus(c_List_Olist_OCons(X1,X2,X3),X0,tc_nat),
    inference(unit_resulting_resolution,[],[f2,f4]) ).

fof(f4,axiom,
    ! [X6,X7,X5] :
      ( c_plus(X6,X7,tc_nat) != c_plus(X5,X7,tc_nat)
      | X5 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onat__add__right__cancel_0) ).

fof(f2,axiom,
    ! [X2,X3,X4] : c_List_Olist_ONil != c_List_Olist_OCons(X2,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36  % Computer : n004.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Apr 30 04:39:33 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.37  % (23208)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38  % (23213)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38  % (23215)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38  % (23210)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38  % (23209)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38  % (23212)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38  % (23215)First to succeed.
% 0.13/0.38  TRYING [1]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  % (23214)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.39  TRYING [1]
% 0.13/0.39  % (23211)WARNING: value z3 for option sas not known
% 0.13/0.39  TRYING [3]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  % (23215)Refutation found. Thanks to Tanya!
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39  % (23215)------------------------------
% 0.13/0.39  % (23215)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.39  % (23215)Termination reason: Refutation
% 0.13/0.39  
% 0.13/0.39  % (23215)Memory used [KB]: 758
% 0.13/0.39  % (23215)Time elapsed: 0.004 s
% 0.13/0.39  % (23215)Instructions burned: 3 (million)
% 0.13/0.39  % (23215)------------------------------
% 0.13/0.39  % (23215)------------------------------
% 0.13/0.39  % (23208)Success in time 0.018 s
%------------------------------------------------------------------------------