TSTP Solution File: SWV284-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV284-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 May 21 06:15:41 EDT 2024

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   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   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4924,plain,
    $false,
    inference(resolution,[],[f4904,f1908]) ).

fof(f1908,plain,
    ! [X2,X3,X0,X1] : c_lessequals(X0,v_x(c_plus(c_plus(X1,c_plus(X2,X0,tc_nat),tc_nat),X3,tc_nat)),tc_nat),
    inference(resolution,[],[f1895,f1438]) ).

fof(f1438,axiom,
    ! [X21,X16,X15] :
      ( ~ c_lessequals(c_plus(X15,X16,tc_nat),X21,tc_nat)
      | c_lessequals(X16,X21,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).

fof(f1895,plain,
    ! [X2,X0,X1] : c_lessequals(X0,v_x(c_plus(c_plus(X1,X0,tc_nat),X2,tc_nat)),tc_nat),
    inference(resolution,[],[f1885,f1438]) ).

fof(f1885,plain,
    ! [X0,X1] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
    inference(resolution,[],[f1439,f1446]) ).

fof(f1446,axiom,
    ! [X24] : c_lessequals(X24,v_x(X24),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1439,axiom,
    ! [X21,X16,X15] :
      ( ~ c_lessequals(c_plus(X15,X16,tc_nat),X21,tc_nat)
      | c_lessequals(X15,X21,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).

fof(f4904,plain,
    ! [X0] : ~ c_lessequals(v_N,v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat)),tc_nat),
    inference(resolution,[],[f4902,f1871]) ).

fof(f1871,plain,
    ! [X0,X1] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
    inference(resolution,[],[f1438,f1446]) ).

fof(f4902,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,[],[f4857,f1447]) ).

fof(f1447,axiom,
    ! [X24] :
      ( ~ c_in(c_Message_Omsg_ONonce(X24),c_Event_Oused(v_list),tc_Message_Omsg)
      | ~ c_lessequals(v_N,X24,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f4857,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,[],[f1437,f1448]) ).

fof(f1448,axiom,
    ! [X24] :
      ( c_in(c_Message_Omsg_ONonce(v_x(X24)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(v_x(X24)),c_Event_Oused(v_list),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1437,axiom,
    ! [X57,X24] :
      ( ~ c_in(c_Message_Omsg_ONonce(X24),c_Message_Oparts(c_insert(X57,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_lessequals(v_sko__upX(X57),X24,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem    : SWV284-1 : TPTP v8.2.0. Released v3.2.0.
% 0.02/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29  % Computer : n011.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sun May 19 08:41:38 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.30  % (28541)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.34  % (28548)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.34  % (28555)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)
% 0.14/0.34  % (28553)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)
% 0.14/0.34  % (28549)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.34  % (28551)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.34  % (28552)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)
% 0.14/0.35  % (28550)WARNING: value z3 for option sas not known
% 0.14/0.35  % (28550)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.41  % (28550)First to succeed.
% 0.14/0.41  % (28550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28541"
% 0.14/0.41  % (28550)Refutation found. Thanks to Tanya!
% 0.14/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41  % (28550)------------------------------
% 0.14/0.41  % (28550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.41  % (28550)Termination reason: Refutation
% 0.14/0.41  
% 0.14/0.41  % (28550)Memory used [KB]: 2775
% 0.14/0.41  % (28550)Time elapsed: 0.057 s
% 0.14/0.41  % (28550)Instructions burned: 164 (million)
% 0.14/0.41  % (28541)Success in time 0.11 s
%------------------------------------------------------------------------------