TSTP Solution File: SWV251-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV251-2 : 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 18:44:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (  13 unt;   0 def)
%            Number of atoms       :   22 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (  10   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f62,plain,
    $false,
    inference(subsumption_resolution,[],[f60,f10]) ).

fof(f10,axiom,
    ! [X3,X4] : c_lessequals(X3,X3,tc_set(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f60,plain,
    ~ c_lessequals(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(superposition,[],[f27,f30]) ).

fof(f30,plain,
    ! [X0] : c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,X0,tc_Message_Omsg),tc_Message_Omsg) = c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),
    inference(forward_demodulation,[],[f28,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X4] : c_union(X3,c_minus(X2,X3,tc_set(X4)),X4) = c_union(X3,X2,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).

fof(f28,plain,
    ! [X0] : c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,X0,tc_Message_Omsg),tc_Message_Omsg) = c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),tc_Message_Omsg),
    inference(superposition,[],[f3,f14]) ).

fof(f14,plain,
    ! [X0] : c_minus(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) = c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f11,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X6,X4] :
      ( ~ c_in(X6,X2,X4)
      | c_minus(c_insert(X6,X3,X4),X2,tc_set(X4)) = c_minus(X3,X2,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__Diff1_0) ).

fof(f11,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f27,plain,
    ! [X0] : ~ c_lessequals(c_union(X0,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f22,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_lessequals(c_union(X3,X2,X4),X5,tc_set(X4))
      | c_lessequals(X2,X5,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).

fof(f22,plain,
    ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f20,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).

fof(f20,plain,
    ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f12,f13,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X7,X4] :
      ( ~ c_lessequals(X3,X2,tc_set(X4))
      | ~ c_in(X7,X3,X4)
      | c_in(X7,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f13,axiom,
    ~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f12,axiom,
    c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV251-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % 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 19:18:04 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.58  % (13874)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (13873)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.58  % (13874)Refutation not found, incomplete strategy% (13874)------------------------------
% 0.20/0.58  % (13874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (13874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (13874)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (13874)Memory used [KB]: 5884
% 0.20/0.58  % (13874)Time elapsed: 0.143 s
% 0.20/0.58  % (13874)Instructions burned: 1 (million)
% 0.20/0.58  % (13874)------------------------------
% 0.20/0.58  % (13874)------------------------------
% 0.20/0.58  % (13890)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.58  % (13882)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.58  TRYING [1]
% 0.20/0.59  TRYING [2]
% 0.20/0.59  % (13882)Instruction limit reached!
% 0.20/0.59  % (13882)------------------------------
% 0.20/0.59  % (13882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (13882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (13882)Termination reason: Unknown
% 0.20/0.59  % (13882)Termination phase: Finite model building SAT solving
% 0.20/0.59  % (13889)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)
% 0.20/0.59  
% 0.20/0.59  % (13882)Memory used [KB]: 6012
% 0.20/0.59  % (13882)Time elapsed: 0.156 s
% 0.20/0.59  % (13882)Instructions burned: 7 (million)
% 0.20/0.59  % (13882)------------------------------
% 0.20/0.59  % (13882)------------------------------
% 0.20/0.59  % (13889)First to succeed.
% 0.20/0.60  % (13881)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.61  % (13890)Instruction limit reached!
% 0.20/0.61  % (13890)------------------------------
% 0.20/0.61  % (13890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (13890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (13890)Termination reason: Unknown
% 0.20/0.61  % (13890)Termination phase: Saturation
% 0.20/0.61  
% 0.20/0.61  % (13890)Memory used [KB]: 6140
% 0.20/0.61  % (13890)Time elapsed: 0.180 s
% 0.20/0.61  % (13890)Instructions burned: 37 (million)
% 0.20/0.61  % (13890)------------------------------
% 0.20/0.61  % (13890)------------------------------
% 0.20/0.61  % (13889)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61  % (13889)------------------------------
% 0.20/0.61  % (13889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (13889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (13889)Termination reason: Refutation
% 0.20/0.61  
% 0.20/0.61  % (13889)Memory used [KB]: 5884
% 0.20/0.61  % (13889)Time elapsed: 0.158 s
% 0.20/0.61  % (13889)Instructions burned: 5 (million)
% 0.20/0.61  % (13889)------------------------------
% 0.20/0.61  % (13889)------------------------------
% 0.20/0.61  % (13866)Success in time 0.255 s
%------------------------------------------------------------------------------