TSTP Solution File: ANA021-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ANA021-2 : 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 : n027.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 15:44:36 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(subsumption_resolution,[],[f8,f5]) ).

fof(f5,axiom,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f8,plain,
    c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
    inference(superposition,[],[f3,f7]) ).

fof(f7,plain,
    v_x = c_Suc(c_minus(v_x,c_1,tc_nat)),
    inference(unit_resulting_resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ c_less(c_0,X0,tc_nat)
      | c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0) ).

fof(f6,plain,
    c_less(c_0,v_x,tc_nat),
    inference(unit_resulting_resolution,[],[f4,f2]) ).

fof(f2,axiom,
    ! [X1] :
      ( c_less(c_0,X1,tc_nat)
      | c_0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).

fof(f4,axiom,
    c_0 != v_x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f3,axiom,
    ! [X2] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X2)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(X2)),t_a),t_a),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ANA021-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % 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 : n027.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   : Mon Aug 29 15:27:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.54  % (12662)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)
% 0.20/0.54  % (12653)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)
% 0.20/0.54  % (12653)Refutation not found, incomplete strategy% (12653)------------------------------
% 0.20/0.54  % (12653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12653)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (12653)Memory used [KB]: 1279
% 0.20/0.54  % (12653)Time elapsed: 0.132 s
% 0.20/0.54  % (12653)Instructions burned: 2 (million)
% 0.20/0.54  % (12653)------------------------------
% 0.20/0.54  % (12653)------------------------------
% 0.20/0.55  % (12662)Instruction limit reached!
% 0.20/0.55  % (12662)------------------------------
% 0.20/0.55  % (12662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12662)Termination reason: Unknown
% 0.20/0.55  % (12662)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12662)Memory used [KB]: 5884
% 0.20/0.55  % (12662)Time elapsed: 0.141 s
% 0.20/0.55  % (12662)Instructions burned: 6 (million)
% 0.20/0.55  % (12662)------------------------------
% 0.20/0.55  % (12662)------------------------------
% 0.20/0.55  % (12656)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)
% 0.20/0.55  % (12656)First to succeed.
% 0.20/0.55  % (12672)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)
% 0.20/0.55  % (12656)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (12656)------------------------------
% 0.20/0.55  % (12656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12656)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (12656)Memory used [KB]: 5756
% 0.20/0.55  % (12656)Time elapsed: 0.138 s
% 0.20/0.55  % (12656)Instructions burned: 2 (million)
% 0.20/0.55  % (12656)------------------------------
% 0.20/0.55  % (12656)------------------------------
% 0.20/0.55  % (12651)Success in time 0.203 s
%------------------------------------------------------------------------------