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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n028.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 18:44:44 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   32 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  16   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 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   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(subsumption_resolution,[],[f40,f1]) ).

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

fof(f40,plain,
    ~ c_in(v_X,v_G,tc_Message_Omsg),
    inference(superposition,[],[f30,f37]) ).

fof(f37,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(subsumption_resolution,[],[f36,f31]) ).

fof(f31,plain,
    ~ c_in(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),v_H,tc_Message_Omsg),
    inference(resolution,[],[f25,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(f25,plain,
    ~ c_in(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),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[],[f20,f9]) ).

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

fof(f20,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,[],[f16,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(f16,plain,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolution,[],[f15,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(f15,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f10,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(f10,axiom,
    ! [X3,X8,X4,X5] :
      ( c_lessequals(X5,X8,tc_set(X4))
      | ~ c_lessequals(X5,X3,tc_set(X4))
      | ~ c_lessequals(X3,X8,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

fof(f36,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)
    | c_in(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),v_H,tc_Message_Omsg) ),
    inference(resolution,[],[f26,f7]) ).

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(f26,plain,
    c_in(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),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[],[f20,f8]) ).

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

fof(f30,plain,
    ~ c_in(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),v_G,tc_Message_Omsg),
    inference(resolution,[],[f25,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
% 0.07/0.12  % Problem    : SWV261-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:18:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (17632)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.51  % (17620)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52  % (17632)Instruction limit reached!
% 0.20/0.52  % (17632)------------------------------
% 0.20/0.52  % (17632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (17648)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.52  % (17632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (17632)Termination reason: Unknown
% 0.20/0.52  % (17632)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (17632)Memory used [KB]: 5884
% 0.20/0.52  % (17632)Time elapsed: 0.080 s
% 0.20/0.52  % (17632)Instructions burned: 5 (million)
% 0.20/0.52  % (17632)------------------------------
% 0.20/0.52  % (17632)------------------------------
% 0.20/0.52  % (17640)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52  % (17625)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (17621)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53  % (17624)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53  % (17623)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53  % (17621)Refutation not found, incomplete strategy% (17621)------------------------------
% 0.20/0.53  % (17621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17621)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (17621)Memory used [KB]: 1279
% 0.20/0.53  % (17621)Time elapsed: 0.123 s
% 0.20/0.53  % (17621)Instructions burned: 2 (million)
% 0.20/0.53  % (17621)------------------------------
% 0.20/0.53  % (17621)------------------------------
% 0.20/0.53  % (17642)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53  % (17622)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53  % (17630)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (17633)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (17631)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.53  % (17622)Instruction limit reached!
% 0.20/0.53  % (17622)------------------------------
% 0.20/0.53  % (17622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17622)Termination reason: Unknown
% 0.20/0.53  % (17622)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (17622)Memory used [KB]: 5884
% 0.20/0.53  % (17622)Time elapsed: 0.126 s
% 0.20/0.53  % (17622)Instructions burned: 5 (million)
% 0.20/0.53  % (17622)------------------------------
% 0.20/0.53  % (17622)------------------------------
% 0.20/0.53  % (17633)Instruction limit reached!
% 0.20/0.53  % (17633)------------------------------
% 0.20/0.53  % (17633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17633)Termination reason: Unknown
% 0.20/0.53  % (17633)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (17633)Memory used [KB]: 5884
% 0.20/0.53  % (17633)Time elapsed: 0.128 s
% 0.20/0.53  % (17633)Instructions burned: 4 (million)
% 0.20/0.53  % (17633)------------------------------
% 0.20/0.53  % (17633)------------------------------
% 0.20/0.53  % (17631)First to succeed.
% 0.20/0.53  % (17630)Instruction limit reached!
% 0.20/0.53  % (17630)------------------------------
% 0.20/0.53  % (17630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17630)Termination reason: Unknown
% 0.20/0.53  % (17630)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (17630)Memory used [KB]: 5884
% 0.20/0.53  % (17630)Time elapsed: 0.128 s
% 0.20/0.53  % (17630)Instructions burned: 6 (million)
% 0.20/0.53  % (17630)------------------------------
% 0.20/0.53  % (17630)------------------------------
% 0.20/0.53  % (17631)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (17631)------------------------------
% 0.20/0.53  % (17631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17631)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (17631)Memory used [KB]: 5756
% 0.20/0.53  % (17631)Time elapsed: 0.127 s
% 0.20/0.53  % (17631)Instructions burned: 2 (million)
% 0.20/0.53  % (17631)------------------------------
% 0.20/0.53  % (17631)------------------------------
% 0.20/0.53  % (17619)Success in time 0.182 s
%------------------------------------------------------------------------------