TSTP Solution File: LAT277-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT277-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 : Tue Apr 30 13:21:33 EDT 2024

% Result   : Unsatisfiable 26.74s 4.31s
% Output   : Refutation 26.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   20 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f98197,plain,
    $false,
    inference(resolution,[],[f98191,f2745]) ).

fof(f2745,axiom,
    c_in(v_x,v_A,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f98191,plain,
    ~ c_in(v_x,v_A,t_a),
    inference(resolution,[],[f98190,f2743]) ).

fof(f2743,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

fof(f98190,plain,
    ( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | ~ c_in(v_x,v_A,t_a) ),
    inference(resolution,[],[f98169,f82123]) ).

fof(f82123,plain,
    ( c_Relation_Orefl(v_A,v_r,t_a)
    | ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
    inference(forward_demodulation,[],[f82119,f2744]) ).

fof(f2744,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

fof(f82119,plain,
    ( c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
    | ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
    inference(superposition,[],[f2739,f2738]) ).

fof(f2738,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

fof(f2739,axiom,
    ! [X3,X93] :
      ( c_Relation_Orefl(c_Tarski_Opotype_Opset(X93,X3,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X93,X3,tc_Product__Type_Ounit),X3)
      | ~ c_in(X93,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).

fof(f98169,plain,
    ! [X0] :
      ( ~ c_Relation_Orefl(X0,v_r,t_a)
      | ~ c_in(v_x,X0,t_a) ),
    inference(resolution,[],[f2737,f2746]) ).

fof(f2746,axiom,
    ~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f2737,axiom,
    ! [X3,X27,X15,X20] :
      ( c_in(c_Pair(X15,X15,X3,X3),X20,tc_prod(X3,X3))
      | ~ c_in(X15,X27,X3)
      | ~ c_Relation_Orefl(X27,X20,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OreflD_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : LAT277-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Apr 29 21:49:24 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (11954)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.45  % (11957)WARNING: value z3 for option sas not known
% 0.20/0.46  % (11959)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.46  % (11961)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.46  % (11957)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.46  % (11960)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.46  % (11956)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.46  % (11958)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.46  % (11955)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.98/0.73  TRYING [1]
% 5.53/1.22  TRYING [2]
% 7.81/1.54  TRYING [1]
% 9.55/1.79  TRYING [1]
% 11.92/2.14  TRYING [2]
% 12.59/2.27  TRYING [2]
% 26.74/4.29  % (11960)First to succeed.
% 26.74/4.31  % (11960)Refutation found. Thanks to Tanya!
% 26.74/4.31  % SZS status Unsatisfiable for theBenchmark
% 26.74/4.31  % SZS output start Proof for theBenchmark
% See solution above
% 26.74/4.31  % (11960)------------------------------
% 26.74/4.31  % (11960)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 26.74/4.31  % (11960)Termination reason: Refutation
% 26.74/4.31  
% 26.74/4.31  % (11960)Memory used [KB]: 44400
% 26.74/4.31  % (11960)Time elapsed: 3.837 s
% 26.74/4.31  % (11960)Instructions burned: 6906 (million)
% 26.74/4.31  % (11960)------------------------------
% 26.74/4.31  % (11960)------------------------------
% 26.74/4.31  % (11954)Success in time 3.898 s
%------------------------------------------------------------------------------