TSTP Solution File: LAT263-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT263-2 : 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 : n014.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 17:33:02 EDT 2022

% Result   : Unsatisfiable 0.17s 0.49s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   27 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  12   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1,f2,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( c_in(c_Tarski_Oglb(X0,v_cl,t_a),v_A,t_a)
      | ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
    inference(forward_demodulation,[],[f14,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : c_Tarski_Oglb(X2,X0,X1) = c_Tarski_Olub(X2,c_Tarski_Odual(X0,X1),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).

fof(f14,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,v_A,tc_set(t_a))
      | c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a) ),
    inference(forward_demodulation,[],[f13,f3]) ).

fof(f3,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(f13,plain,
    ! [X0] :
      ( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
      | ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
    inference(forward_demodulation,[],[f12,f8]) ).

fof(f8,axiom,
    ! [X0,X1] : c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).

fof(f12,plain,
    ! [X0] :
      ( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a)
      | ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
    inference(forward_demodulation,[],[f11,f3]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
      | c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a) ),
    inference(forward_demodulation,[],[f10,f8]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))
      | c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a) ),
    inference(subsumption_resolution,[],[f9,f5]) ).

fof(f5,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

fof(f9,plain,
    ! [X0] :
      ( ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
      | c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a)
      | ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
    inference(resolution,[],[f4,f6]) ).

fof(f6,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
      | ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))
      | ~ c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
      | c_in(c_Tarski_Olub(X2,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).

fof(f2,axiom,
    ~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1,axiom,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : LAT263-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 00:57:48 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.47  % (15971)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)
% 0.17/0.48  % (15973)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)
% 0.17/0.48  % (15963)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.17/0.48  % (15972)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.48  TRYING [1]
% 0.17/0.48  % (15964)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48  % (15979)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.17/0.49  % (15973)Refutation not found, incomplete strategy% (15973)------------------------------
% 0.17/0.49  % (15973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (15964)Refutation not found, incomplete strategy% (15964)------------------------------
% 0.17/0.49  % (15964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  TRYING [2]
% 0.17/0.49  % (15971)First to succeed.
% 0.17/0.49  % (15972)Instruction limit reached!
% 0.17/0.49  % (15972)------------------------------
% 0.17/0.49  % (15972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (15964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (15964)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.49  
% 0.17/0.49  % (15964)Memory used [KB]: 5756
% 0.17/0.49  % (15964)Time elapsed: 0.099 s
% 0.17/0.49  % (15964)Instructions burned: 1 (million)
% 0.17/0.49  % (15964)------------------------------
% 0.17/0.49  % (15964)------------------------------
% 0.17/0.49  % (15965)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.49  % (15973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (15973)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.49  
% 0.17/0.49  % (15973)Memory used [KB]: 5756
% 0.17/0.49  % (15973)Time elapsed: 0.104 s
% 0.17/0.49  % (15973)Instructions burned: 1 (million)
% 0.17/0.49  % (15973)------------------------------
% 0.17/0.49  % (15973)------------------------------
% 0.17/0.49  % (15972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (15972)Termination reason: Unknown
% 0.17/0.49  % (15972)Termination phase: Finite model building SAT solving
% 0.17/0.49  
% 0.17/0.49  % (15972)Memory used [KB]: 5884
% 0.17/0.49  % (15972)Time elapsed: 0.095 s
% 0.17/0.49  % (15972)Instructions burned: 6 (million)
% 0.17/0.49  % (15972)------------------------------
% 0.17/0.49  % (15972)------------------------------
% 0.17/0.49  % (15971)Refutation found. Thanks to Tanya!
% 0.17/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49  % (15971)------------------------------
% 0.17/0.49  % (15971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (15971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (15971)Termination reason: Refutation
% 0.17/0.49  
% 0.17/0.49  % (15971)Memory used [KB]: 1279
% 0.17/0.49  % (15971)Time elapsed: 0.104 s
% 0.17/0.49  % (15971)Instructions burned: 2 (million)
% 0.17/0.49  % (15971)------------------------------
% 0.17/0.49  % (15971)------------------------------
% 0.17/0.49  % (15956)Success in time 0.162 s
%------------------------------------------------------------------------------