TSTP Solution File: LAT263-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 : Fri May  3 02:34:56 EDT 2024

% Result   : Unsatisfiable 1.64s 1.19s
% Output   : CNFRefutation 1.64s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% 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_157,plain,
    c_Tarski_Oglb(v_S,v_cl,t_a) = sP0_iProver_def,
    definition ).

cnf(c_158,negated_conjecture,
    ~ c_in(sP0_iProver_def,v_A,t_a),
    inference(demodulation,[status(thm)],[c_50,c_157]) ).

cnf(c_356,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_357,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_356,c_56]) ).

cnf(c_364,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_357,c_55]) ).

cnf(c_375,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_364]) ).

cnf(c_377,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_375]) ).

cnf(c_378,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(sP0_iProver_def,v_A,t_a) ),
    inference(light_normalisation,[status(thm)],[c_377,c_51,c_157]) ).

cnf(c_379,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_378,c_158,c_54,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n019.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 : Thu May  2 18:05:59 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.64/1.19  % SZS status Started for theBenchmark.p
% 1.64/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.19  
% 1.64/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.64/1.19  
% 1.64/1.19  ------  iProver source info
% 1.64/1.19  
% 1.64/1.19  git: date: 2024-05-02 19:28:25 +0000
% 1.64/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.64/1.19  git: non_committed_changes: false
% 1.64/1.19  
% 1.64/1.19  ------ Parsing...successful
% 1.64/1.19  
% 1.64/1.19  
% 1.64/1.19  
% 1.64/1.19  ------ 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 
% 1.64/1.19  
% 1.64/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.64/1.19  
% 1.64/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.64/1.19  ------ Proving...
% 1.64/1.19  ------ Problem Properties 
% 1.64/1.19  
% 1.64/1.19  
% 1.64/1.19  clauses                                 8
% 1.64/1.19  conjectures                             1
% 1.64/1.19  EPR                                     1
% 1.64/1.19  Horn                                    8
% 1.64/1.19  unary                                   7
% 1.64/1.19  binary                                  0
% 1.64/1.19  lits                                    12
% 1.64/1.19  lits eq                                 6
% 1.64/1.19  fd_pure                                 0
% 1.64/1.19  fd_pseudo                               0
% 1.64/1.19  fd_cond                                 0
% 1.64/1.19  fd_pseudo_cond                          0
% 1.64/1.19  AC symbols                              0
% 1.64/1.19  
% 1.64/1.19  ------ Schedule dynamic 5 is on 
% 1.64/1.19  
% 1.64/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.64/1.19  
% 1.64/1.19  
% 1.64/1.19  ------ 
% 1.64/1.19  Current options:
% 1.64/1.19  ------ 
% 1.64/1.19  
% 1.64/1.19  
% 1.64/1.19  
% 1.64/1.19  
% 1.64/1.19  ------ Proving...
% 1.64/1.19  
% 1.64/1.19  
% 1.64/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.19  
% 1.64/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.64/1.19  
% 1.64/1.19  
%------------------------------------------------------------------------------