TSTP Solution File: LAT263-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT263-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 17.41s 3.16s
% Output   : CNFRefutation 17.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   9 unt;   0 nHn;  13 RR)
%            Number of literals    :   29 (   3 equ;  16 neg)
%            Maximal clause size   :    4 (   1 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   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

cnf(c_50,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/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).

cnf(c_55,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/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

cnf(c_56,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/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

cnf(c_57,plain,
    c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2) = c_Tarski_Oglb(X0,X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).

cnf(c_58,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/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).

cnf(c_59,negated_conjecture,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_60,negated_conjecture,
    ~ 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) ).

cnf(c_71250,plain,
    ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),tc_set(X2))
    | ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
    inference(superposition,[status(thm)],[c_58,c_50]) ).

cnf(c_71356,plain,
    ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
    | ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
    | c_in(c_Tarski_Oglb(X0,X1,X2),c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
    inference(demodulation,[status(thm)],[c_71250,c_57,c_58]) ).

cnf(c_71365,plain,
    ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),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(X0,v_cl,t_a),v_A,t_a) ),
    inference(superposition,[status(thm)],[c_49,c_71356]) ).

cnf(c_71569,plain,
    ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
    | c_in(c_Tarski_Oglb(X0,v_cl,t_a),v_A,t_a) ),
    inference(global_subsumption_just,[status(thm)],[c_71365,c_56,c_55,c_71365]) ).

cnf(c_71574,plain,
    ( ~ c_lessequals(X0,v_A,tc_set(t_a))
    | c_in(c_Tarski_Oglb(X0,v_cl,t_a),v_A,t_a) ),
    inference(light_normalisation,[status(thm)],[c_71569,c_49]) ).

cnf(c_71579,plain,
    ~ c_lessequals(v_S,v_A,tc_set(t_a)),
    inference(superposition,[status(thm)],[c_71574,c_60]) ).

cnf(c_71580,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_59,c_71579]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT263-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.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 May  2 18:20:58 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.41/3.16  % SZS status Started for theBenchmark.p
% 17.41/3.16  % SZS status Unsatisfiable for theBenchmark.p
% 17.41/3.16  
% 17.41/3.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.41/3.16  
% 17.41/3.16  ------  iProver source info
% 17.41/3.16  
% 17.41/3.16  git: date: 2024-05-02 19:28:25 +0000
% 17.41/3.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.41/3.16  git: non_committed_changes: false
% 17.41/3.16  
% 17.41/3.16  ------ Parsing...successful
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  ------ Preprocessing... sup_sim: 107  sf_s  rm: 605 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e 
% 17.41/3.16  
% 17.41/3.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.41/3.16  
% 17.41/3.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e 
% 17.41/3.16  ------ Proving...
% 17.41/3.16  ------ Problem Properties 
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  clauses                                 1549
% 17.41/3.16  conjectures                             2
% 17.41/3.16  EPR                                     60
% 17.41/3.16  Horn                                    1348
% 17.41/3.16  unary                                   639
% 17.41/3.16  binary                                  621
% 17.41/3.16  lits                                    2805
% 17.41/3.16  lits eq                                 1148
% 17.41/3.16  fd_pure                                 0
% 17.41/3.16  fd_pseudo                               0
% 17.41/3.16  fd_cond                                 118
% 17.41/3.16  fd_pseudo_cond                          71
% 17.41/3.16  AC symbols                              0
% 17.41/3.16  
% 17.41/3.16  ------ Input Options Time Limit: Unbounded
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  ------ 
% 17.41/3.16  Current options:
% 17.41/3.16  ------ 
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  ------ Proving...
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  ------ Proving...
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  ------ Proving...
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  ------ Proving...
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  ------ Proving...
% 17.41/3.16  
% 17.41/3.16  
% 17.41/3.16  % SZS status Unsatisfiable for theBenchmark.p
% 17.41/3.16  
% 17.41/3.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.41/3.16  
% 17.41/3.16  
%------------------------------------------------------------------------------