TSTP Solution File: SWV261-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV261-2 : 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 18:56:02 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   42 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  16   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f108,plain,
    $false,
    inference(subsumption_resolution,[],[f107,f1]) ).

fof(f1,axiom,
    c_in(v_X,v_G,tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f107,plain,
    ~ c_in(v_X,v_G,tc_Message_Omsg),
    inference(subsumption_resolution,[],[f104,f69]) ).

fof(f69,plain,
    ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(resolution,[],[f20,f2]) ).

fof(f2,axiom,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f20,plain,
    ! [X3,X4,X5] :
      ( c_lessequals(c_Message_Oparts(X3),c_union(c_Message_Oparts(X4),c_Message_Oparts(X5),tc_Message_Omsg),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X3,c_union(X4,X5,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f16,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un__subset2_0) ).

fof(f16,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_Message_Oparts(X2),X1,tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oparts(X0),X1,tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X2,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f10,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).

fof(f10,axiom,
    ! [X3,X8,X4,X5] :
      ( ~ c_lessequals(X5,X3,tc_set(X4))
      | c_lessequals(X5,X8,tc_set(X4))
      | ~ c_lessequals(X3,X8,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

fof(f104,plain,
    ( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ c_in(v_X,v_G,tc_Message_Omsg) ),
    inference(superposition,[],[f12,f77]) ).

fof(f77,plain,
    v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[],[f69,f50]) ).

fof(f50,plain,
    ! [X10,X8,X9,X7] :
      ( c_lessequals(c_insert(X7,X8,X9),c_union(X10,X8,X9),tc_set(X9))
      | c_Main_OsubsetI__1(c_insert(X7,X8,X9),c_union(X10,X8,X9),X9) = X7 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f47,plain,
    ! [X10,X8,X9,X7] :
      ( c_lessequals(c_insert(X7,X8,X9),c_union(X10,X8,X9),tc_set(X9))
      | c_Main_OsubsetI__1(c_insert(X7,X8,X9),c_union(X10,X8,X9),X9) = X7
      | c_lessequals(c_insert(X7,X8,X9),c_union(X10,X8,X9),tc_set(X9)) ),
    inference(resolution,[],[f15,f13]) ).

fof(f13,plain,
    ! [X8,X6,X9,X7] :
      ( ~ c_in(c_Main_OsubsetI__1(X6,c_union(X7,X8,X9),X9),X8,X9)
      | c_lessequals(X6,c_union(X7,X8,X9),tc_set(X9)) ),
    inference(resolution,[],[f9,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( c_in(X2,c_union(X5,X3,X4),X4)
      | ~ c_in(X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f9,axiom,
    ! [X3,X4,X5] :
      ( ~ c_in(c_Main_OsubsetI__1(X5,X3,X4),X3,X4)
      | c_lessequals(X5,X3,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f15,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
      | c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
      | c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0 ),
    inference(resolution,[],[f7,f8]) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( c_in(c_Main_OsubsetI__1(X5,X3,X4),X5,X4)
      | c_lessequals(X5,X3,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f7,axiom,
    ! [X6,X7,X4,X5] :
      ( ~ c_in(X6,c_insert(X7,X5,X4),X4)
      | X6 = X7
      | c_in(X6,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

fof(f12,plain,
    ! [X2,X3,X4,X5] :
      ( ~ c_in(c_Main_OsubsetI__1(X2,c_union(X3,X4,X5),X5),X3,X5)
      | c_lessequals(X2,c_union(X3,X4,X5),tc_set(X5)) ),
    inference(resolution,[],[f9,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X4,X5] :
      ( c_in(X2,c_union(X5,X3,X4),X4)
      | ~ c_in(X2,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV261-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:34:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (545)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (545)Instruction limit reached!
% 0.20/0.52  % (545)------------------------------
% 0.20/0.52  % (545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (544)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (563)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (545)Termination reason: Unknown
% 0.20/0.53  % (545)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (545)Memory used [KB]: 5373
% 0.20/0.53  % (545)Time elapsed: 0.110 s
% 0.20/0.53  % (545)Instructions burned: 2 (million)
% 0.20/0.53  % (545)------------------------------
% 0.20/0.53  % (545)------------------------------
% 0.20/0.53  % (562)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)
% 0.20/0.53  % (541)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (543)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  % (553)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  TRYING [2]
% 0.20/0.53  TRYING [3]
% 0.20/0.53  % (552)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54  % (567)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (561)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)
% 0.20/0.54  % (540)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (544)First to succeed.
% 0.20/0.54  % (544)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (544)------------------------------
% 0.20/0.54  % (544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (544)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (544)Memory used [KB]: 5500
% 0.20/0.54  % (544)Time elapsed: 0.132 s
% 0.20/0.54  % (544)Instructions burned: 6 (million)
% 0.20/0.54  % (544)------------------------------
% 0.20/0.54  % (544)------------------------------
% 0.20/0.54  % (536)Success in time 0.186 s
%------------------------------------------------------------------------------