TSTP Solution File: SWW956+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW956+1 : TPTP v8.1.0. Released v7.4.0.
% 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 : n010.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 19:15:08 EDT 2022

% Result   : Theorem 0.15s 0.49s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   56 (  17 unt;   0 def)
%            Number of atoms       :  105 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   90 (  41   ~;  33   |;   2   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f356,plain,
    $false,
    inference(avatar_sat_refutation,[],[f306,f325,f355]) ).

fof(f355,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f354,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f353,f278]) ).

fof(f278,plain,
    pred_attacker(name_G_8),
    inference(resolution,[],[f191,f231]) ).

fof(f231,plain,
    pred_attacker(tuple_A_out_1(name_P_7,name_G_8)),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,axiom,
    pred_attacker(tuple_A_out_1(name_P_7,name_G_8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_A_out_1(X0,X1))
      | pred_attacker(X1) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(tuple_A_out_1(X0,X1))
      | pred_attacker(X1) ),
    inference(rectify,[],[f146]) ).

fof(f146,plain,
    ! [X1,X0] :
      ( ~ pred_attacker(tuple_A_out_1(X1,X0))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( pred_attacker(tuple_A_out_1(X1,X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f82]) ).

fof(f82,axiom,
    ! [X33,X32] :
      ( pred_attacker(tuple_A_out_1(X32,X33))
     => pred_attacker(X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f353,plain,
    ( ~ pred_attacker(name_G_8)
    | ~ spl0_3 ),
    inference(resolution,[],[f343,f201]) ).

fof(f201,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_A_in_3(X0)) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_A_in_3(X0)) ),
    inference(rectify,[],[f83]) ).

fof(f83,axiom,
    ! [X34] :
      ( pred_attacker(X34)
     => pred_attacker(tuple_A_in_3(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(f343,plain,
    ( ~ pred_attacker(tuple_A_in_3(name_G_8))
    | ~ spl0_3 ),
    inference(resolution,[],[f301,f273]) ).

fof(f273,plain,
    pred_attacker(constr_mod(constr_exp(name_G_8,name_Na),name_P_7)),
    inference(resolution,[],[f240,f247]) ).

fof(f247,plain,
    pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8,name_Na),name_P_7))),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,axiom,
    pred_attacker(tuple_A_out_2(constr_mod(constr_exp(name_G_8,name_Na),name_P_7))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).

fof(f240,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_2(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_2(X0))
      | pred_attacker(X0) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_2(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f79]) ).

fof(f79,axiom,
    ! [X27] :
      ( pred_attacker(tuple_A_out_2(X27))
     => pred_attacker(X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(f301,plain,
    ( ! [X0] :
        ( ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7))
        | ~ pred_attacker(tuple_A_in_3(X0)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f300,plain,
    ( spl0_3
  <=> ! [X0] :
        ( ~ pred_attacker(tuple_A_in_3(X0))
        | ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f325,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f324]) ).

fof(f324,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f305,f195]) ).

fof(f195,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f95]) ).

fof(f95,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f94]) ).

fof(f94,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

fof(f305,plain,
    ( pred_attacker(name_objective)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl0_4
  <=> pred_attacker(name_objective) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f306,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f296,f303,f300]) ).

fof(f296,plain,
    ! [X0] :
      ( pred_attacker(name_objective)
      | ~ pred_attacker(tuple_A_in_3(X0))
      | ~ pred_attacker(constr_mod(constr_exp(X0,name_Na),name_P_7)) ),
    inference(resolution,[],[f269,f287]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(constr_enc(X0,X1))
      | pred_attacker(X0)
      | ~ pred_attacker(X1) ),
    inference(superposition,[],[f205,f203]) ).

fof(f203,plain,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    inference(rectify,[],[f114]) ).

fof(f114,plain,
    ! [X1,X0] : constr_dec(constr_enc(X0,X1),X1) = X0,
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X1,X0] : constr_dec(constr_enc(X1,X0),X0) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f205,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(X0)
      | ~ pred_attacker(X1)
      | pred_attacker(constr_dec(X0,X1)) ),
    inference(rectify,[],[f154]) ).

fof(f154,plain,
    ! [X1,X0] :
      ( ~ pred_attacker(X1)
      | ~ pred_attacker(X0)
      | pred_attacker(constr_dec(X1,X0)) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X1,X0))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(constr_dec(X1,X0)) ),
    inference(rectify,[],[f63]) ).

fof(f63,axiom,
    ! [X13,X12] :
      ( ( pred_attacker(X13)
        & pred_attacker(X12) )
     => pred_attacker(constr_dec(X12,X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f269,plain,
    ! [X0] :
      ( pred_attacker(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))
      | ~ pred_attacker(tuple_A_in_3(X0)) ),
    inference(resolution,[],[f199,f229]) ).

fof(f229,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7))))
      | ~ pred_attacker(tuple_A_in_3(X0)) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_in_3(X0))
      | pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_3(X0))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X0,name_Na),name_P_7)))) ),
    inference(rectify,[],[f92]) ).

fof(f92,axiom,
    ! [X42] :
      ( pred_attacker(tuple_A_in_3(X42))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,constr_mod(constr_exp(X42,name_Na),name_P_7)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).

fof(f199,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_4(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_4(X0)) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f77]) ).

fof(f77,axiom,
    ! [X25] :
      ( pred_attacker(tuple_A_out_4(X25))
     => pred_attacker(X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SWW956+1 : TPTP v8.1.0. Released v7.4.0.
% 0.02/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30  % Computer : n010.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Aug 30 21:10:58 EDT 2022
% 0.10/0.30  % CPUTime    : 
% 0.15/0.46  % (21972)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.47  % (21972)Refutation not found, incomplete strategy% (21972)------------------------------
% 0.15/0.47  % (21972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (21972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (21972)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.47  
% 0.15/0.47  % (21972)Memory used [KB]: 5884
% 0.15/0.47  % (21972)Time elapsed: 0.108 s
% 0.15/0.47  % (21972)Instructions burned: 2 (million)
% 0.15/0.47  % (21972)------------------------------
% 0.15/0.47  % (21972)------------------------------
% 0.15/0.47  % (21989)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.47  % (21981)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47  % (21989)Refutation not found, incomplete strategy% (21989)------------------------------
% 0.15/0.47  % (21989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (21988)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.47  % (21980)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.48  % (21973)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.48  % (21967)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.48  % (21980)Instruction limit reached!
% 0.15/0.48  % (21980)------------------------------
% 0.15/0.48  % (21980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (21980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (21980)Termination reason: Unknown
% 0.15/0.48  % (21980)Termination phase: Saturation
% 0.15/0.48  
% 0.15/0.48  % (21980)Memory used [KB]: 6012
% 0.15/0.48  % (21980)Time elapsed: 0.005 s
% 0.15/0.48  % (21980)Instructions burned: 3 (million)
% 0.15/0.48  % (21980)------------------------------
% 0.15/0.48  % (21980)------------------------------
% 0.15/0.48  % (21967)Refutation not found, incomplete strategy% (21967)------------------------------
% 0.15/0.48  % (21967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (21967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (21967)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48  
% 0.15/0.48  % (21967)Memory used [KB]: 5884
% 0.15/0.48  % (21967)Time elapsed: 0.121 s
% 0.15/0.48  % (21967)Instructions burned: 1 (million)
% 0.15/0.48  % (21967)------------------------------
% 0.15/0.48  % (21967)------------------------------
% 0.15/0.48  % (21981)Instruction limit reached!
% 0.15/0.48  % (21981)------------------------------
% 0.15/0.48  % (21981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (21989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (21989)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48  
% 0.15/0.48  % (21989)Memory used [KB]: 1535
% 0.15/0.48  % (21989)Time elapsed: 0.065 s
% 0.15/0.48  % (21989)Instructions burned: 4 (million)
% 0.15/0.48  % (21989)------------------------------
% 0.15/0.48  % (21989)------------------------------
% 0.15/0.48  % (21988)First to succeed.
% 0.15/0.48  % (21981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (21981)Termination reason: Unknown
% 0.15/0.48  % (21981)Termination phase: Saturation
% 0.15/0.48  
% 0.15/0.48  % (21981)Memory used [KB]: 6012
% 0.15/0.48  % (21981)Time elapsed: 0.075 s
% 0.15/0.48  % (21981)Instructions burned: 7 (million)
% 0.15/0.48  % (21981)------------------------------
% 0.15/0.48  % (21981)------------------------------
% 0.15/0.48  % (21969)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.49  % (21988)Refutation found. Thanks to Tanya!
% 0.15/0.49  % SZS status Theorem for theBenchmark
% 0.15/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (21988)------------------------------
% 0.15/0.49  % (21988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (21988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (21988)Termination reason: Refutation
% 0.15/0.49  
% 0.15/0.49  % (21988)Memory used [KB]: 6140
% 0.15/0.49  % (21988)Time elapsed: 0.115 s
% 0.15/0.49  % (21988)Instructions burned: 6 (million)
% 0.15/0.49  % (21988)------------------------------
% 0.15/0.49  % (21988)------------------------------
% 0.15/0.49  % (21965)Success in time 0.181 s
%------------------------------------------------------------------------------