TSTP Solution File: COL101-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL101-2 : 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 : n009.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 15:52:51 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (   4 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-4 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,plain,
    $false,
    inference(subsumption_resolution,[],[f13,f7]) ).

fof(f7,plain,
    ~ c_in(sF1,sF2,sF3),
    inference(definition_folding,[],[f1,f6,f5,f4,f3,f3]) ).

fof(f3,plain,
    c_Comb_Ocomb_Oop_A_D_D(v_x,v_z) = sF0,
    introduced(function_definition,[]) ).

fof(f4,plain,
    c_Pair(sF0,sF0,tc_Comb_Ocomb,tc_Comb_Ocomb) = sF1,
    introduced(function_definition,[]) ).

fof(f5,plain,
    c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb) = sF2,
    introduced(function_definition,[]) ).

fof(f6,plain,
    tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = sF3,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f13,plain,
    c_in(sF1,sF2,sF3),
    inference(superposition,[],[f11,f5]) ).

fof(f11,plain,
    ! [X0] : c_in(sF1,c_Transitive__Closure_Ortrancl(X0,tc_Comb_Ocomb),sF3),
    inference(forward_demodulation,[],[f8,f6]) ).

fof(f8,plain,
    ! [X0] : c_in(sF1,c_Transitive__Closure_Ortrancl(X0,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(superposition,[],[f2,f4]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : COL101-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 17:08:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (12994)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 (3000ds/467Mi)
% 0.18/0.49  % (12985)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 (3000ds/75Mi)
% 0.18/0.49  % (12985)First to succeed.
% 0.18/0.49  % (12983)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.49  % (12974)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.49  % (12970)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.18/0.49  TRYING [1]
% 0.18/0.49  TRYING [2]
% 0.18/0.50  % (12994)Also succeeded, but the first one will report.
% 0.18/0.50  % (12985)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (12985)------------------------------
% 0.18/0.50  % (12985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (12985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (12985)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (12985)Memory used [KB]: 895
% 0.18/0.50  % (12985)Time elapsed: 0.073 s
% 0.18/0.50  % (12985)Instructions burned: 1 (million)
% 0.18/0.50  % (12985)------------------------------
% 0.18/0.50  % (12985)------------------------------
% 0.18/0.50  % (12968)Success in time 0.161 s
%------------------------------------------------------------------------------