TSTP Solution File: LAT263-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 : Thu Aug 31 06:17:10 EDT 2023

% Result   : Unsatisfiable 1.75s 1.17s
% Output   : CNFRefutation 1.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   17 (   8 unt;   0 nHn;  15 RR)
%            Number of literals    :   48 (  15 equ;  32 neg)
%            Maximal clause size   :    6 (   2 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   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    ~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,plain,
    c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

cnf(c_52,plain,
    ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
    | ~ c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Olub(X0,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).

cnf(c_53,plain,
    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/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

cnf(c_54,plain,
    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/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

cnf(c_55,plain,
    c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2) = c_Tarski_Oglb(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).

cnf(c_56,plain,
    c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).

cnf(c_97,plain,
    ( c_Tarski_Opotype_Opset(X2,X0,tc_Product__Type_Ounit) != v_A
    | tc_set(X0) != tc_set(t_a)
    | X1 != v_S
    | ~ c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X0,tc_Product__Type_Ounit))
    | ~ c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X0,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Olub(X1,X2,X0),c_Tarski_Opotype_Opset(X2,X0,tc_Product__Type_Ounit),X0) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_52]) ).

cnf(c_98,plain,
    ( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A
    | tc_set(X1) != tc_set(t_a)
    | ~ c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
    | ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Olub(v_S,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1) ),
    inference(unflattening,[status(thm)],[c_97]) ).

cnf(c_350,plain,
    ( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A
    | tc_set(X1) != tc_set(t_a)
    | ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
    | ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(X0,X1),X1),c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),X1) ),
    inference(superposition,[status(thm)],[c_56,c_98]) ).

cnf(c_351,plain,
    ( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A
    | tc_set(X1) != tc_set(t_a)
    | ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
    | ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(X0,X1),X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1) ),
    inference(light_normalisation,[status(thm)],[c_350,c_56]) ).

cnf(c_358,plain,
    ( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A
    | tc_set(X1) != tc_set(t_a)
    | ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
    | ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Oglb(v_S,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1) ),
    inference(demodulation,[status(thm)],[c_351,c_55]) ).

cnf(c_369,plain,
    ( tc_set(t_a) != tc_set(t_a)
    | ~ 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_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Oglb(v_S,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
    inference(superposition,[status(thm)],[c_51,c_358]) ).

cnf(c_371,plain,
    ( ~ 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_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Oglb(v_S,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
    inference(equality_resolution_simp,[status(thm)],[c_369]) ).

cnf(c_372,plain,
    ( ~ 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_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a) ),
    inference(light_normalisation,[status(thm)],[c_371,c_51]) ).

cnf(c_373,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_372,c_50,c_54,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n026.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 : Thu Aug 24 06:03:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.75/1.17  % SZS status Started for theBenchmark.p
% 1.75/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.75/1.17  
% 1.75/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.75/1.17  
% 1.75/1.17  ------  iProver source info
% 1.75/1.17  
% 1.75/1.17  git: date: 2023-05-31 18:12:56 +0000
% 1.75/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.75/1.17  git: non_committed_changes: false
% 1.75/1.17  git: last_make_outside_of_git: false
% 1.75/1.17  
% 1.75/1.17  ------ Parsing...successful
% 1.75/1.17  
% 1.75/1.17  
% 1.75/1.17  
% 1.75/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 1.75/1.17  
% 1.75/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.75/1.17  
% 1.75/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.75/1.17  ------ Proving...
% 1.75/1.17  ------ Problem Properties 
% 1.75/1.17  
% 1.75/1.17  
% 1.75/1.17  clauses                                 7
% 1.75/1.17  conjectures                             1
% 1.75/1.17  EPR                                     0
% 1.75/1.17  Horn                                    7
% 1.75/1.17  unary                                   6
% 1.75/1.17  binary                                  0
% 1.75/1.17  lits                                    11
% 1.75/1.17  lits eq                                 5
% 1.75/1.17  fd_pure                                 0
% 1.75/1.17  fd_pseudo                               0
% 1.75/1.17  fd_cond                                 0
% 1.75/1.17  fd_pseudo_cond                          0
% 1.75/1.17  AC symbols                              0
% 1.75/1.17  
% 1.75/1.17  ------ Schedule dynamic 5 is on 
% 1.75/1.17  
% 1.75/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.75/1.17  
% 1.75/1.17  
% 1.75/1.17  ------ 
% 1.75/1.17  Current options:
% 1.75/1.17  ------ 
% 1.75/1.17  
% 1.75/1.17  
% 1.75/1.17  
% 1.75/1.17  
% 1.75/1.17  ------ Proving...
% 1.75/1.17  
% 1.75/1.17  
% 1.75/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.75/1.17  
% 1.75/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.75/1.17  
% 1.75/1.17  
%------------------------------------------------------------------------------