TSTP Solution File: COL102-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL102-1 : 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 : n011.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 15:52:09 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-4 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1556,plain,
    $false,
    inference(subsumption_resolution,[],[f1555,f1385]) ).

fof(f1385,axiom,
    c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1555,plain,
    ~ c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(resolution,[],[f1537,f22]) ).

fof(f22,axiom,
    ! [X3,X9,X4] :
      ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X4,X3),c_Comb_Ocomb_Oop_A_D_D(X9,X3),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(X4,X9,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Ocontract_OAp1_0) ).

fof(f1537,plain,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference(resolution,[],[f1448,f1387]) ).

fof(f1387,axiom,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,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_3) ).

fof(f1448,plain,
    ! [X1] :
      ( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    inference(resolution,[],[f1430,f1386]) ).

fof(f1386,axiom,
    c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,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_2) ).

fof(f1430,plain,
    ! [X18,X19,X16,X17,X20] :
      ( ~ c_in(c_Pair(X16,X20,X18,X18),c_Transitive__Closure_Ortrancl(X19,X18),tc_prod(X18,X18))
      | ~ c_in(c_Pair(X20,X17,X18,X18),X19,tc_prod(X18,X18))
      | c_in(c_Pair(X16,X17,X18,X18),c_Transitive__Closure_Ortrancl(X19,X18),tc_prod(X18,X18)) ),
    inference(resolution,[],[f1383,f342]) ).

fof(f342,axiom,
    ! [X2,X0,X11] :
      ( c_in(X0,c_Transitive__Closure_Ortrancl(X2,X11),tc_prod(X11,X11))
      | ~ c_in(X0,X2,tc_prod(X11,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).

fof(f1383,axiom,
    ! [X40,X2,X11,X15,X13] :
      ( ~ c_in(c_Pair(X15,X40,X11,X11),c_Transitive__Closure_Ortrancl(X2,X11),tc_prod(X11,X11))
      | c_in(c_Pair(X13,X40,X11,X11),c_Transitive__Closure_Ortrancl(X2,X11),tc_prod(X11,X11))
      | ~ c_in(c_Pair(X13,X15,X11,X11),c_Transitive__Closure_Ortrancl(X2,X11),tc_prod(X11,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COL102-1 : 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
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 17:08:39 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.52  % (5296)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (5304)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.53  % (5296)Instruction limit reached!
% 0.21/0.53  % (5296)------------------------------
% 0.21/0.53  % (5296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (5296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (5296)Termination reason: Unknown
% 0.21/0.53  % (5296)Termination phase: shuffling
% 0.21/0.53  
% 0.21/0.53  % (5296)Memory used [KB]: 2174
% 0.21/0.53  % (5296)Time elapsed: 0.004 s
% 0.21/0.53  % (5296)Instructions burned: 2 (million)
% 0.21/0.53  % (5296)------------------------------
% 0.21/0.53  % (5296)------------------------------
% 0.21/0.54  % (5304)First to succeed.
% 0.21/0.54  % (5294)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)
% 0.21/0.54  % (5304)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (5304)------------------------------
% 0.21/0.54  % (5304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (5304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (5304)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (5304)Memory used [KB]: 7036
% 0.21/0.54  % (5304)Time elapsed: 0.095 s
% 0.21/0.54  % (5304)Instructions burned: 18 (million)
% 0.21/0.54  % (5304)------------------------------
% 0.21/0.54  % (5304)------------------------------
% 0.21/0.54  % (5279)Success in time 0.189 s
%------------------------------------------------------------------------------