TSTP Solution File: SWV926-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV926-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : Thu Aug 31 22:43:07 EDT 2023

% Result   : Unsatisfiable 9.80s 2.17s
% Output   : CNFRefutation 9.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   24 (  14 unt;   0 nHn;  18 RR)
%            Number of literals    :   36 (   8 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-3 aty)
%            Number of variables   :   31 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_456,plain,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).

cnf(c_457,plain,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))
    | c_lessequals(X0,X3,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).

cnf(c_469,plain,
    ( ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).

cnf(c_490,plain,
    c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).

cnf(c_497,plain,
    c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).

cnf(c_498,plain,
    c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).

cnf(c_507,plain,
    c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).

cnf(c_514,negated_conjecture,
    c_lessequals(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_517,negated_conjecture,
    c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_519,negated_conjecture,
    c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ad,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_521,negated_conjecture,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(c_3437,plain,
    c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
    inference(demodulation,[status(thm)],[c_517,c_507]) ).

cnf(c_3438,plain,
    c_Lattices_Oupper__semilattice__class_Osup(v_ae,c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ad,
    inference(demodulation,[status(thm)],[c_519,c_507]) ).

cnf(c_4087,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(demodulation,[status(thm)],[c_521,c_490,c_507,c_3437]) ).

cnf(c_4088,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4087,c_498]) ).

cnf(c_5525,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(prop_impl_just,[status(thm)],[c_4088]) ).

cnf(c_14255,plain,
    c_Lattices_Oupper__semilattice__class_Osup(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
    inference(superposition,[status(thm)],[c_514,c_469]) ).

cnf(c_14336,plain,
    c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(superposition,[status(thm)],[c_497,c_457]) ).

cnf(c_14342,plain,
    ( ~ c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | c_lessequals(v_ae,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(superposition,[status(thm)],[c_3438,c_457]) ).

cnf(c_14358,plain,
    ( ~ c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(superposition,[status(thm)],[c_3438,c_456]) ).

cnf(c_15142,plain,
    c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(X0,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(superposition,[status(thm)],[c_14255,c_14336]) ).

cnf(c_15264,plain,
    ( ~ c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(superposition,[status(thm)],[c_14358,c_5525]) ).

cnf(c_26910,plain,
    ~ c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(forward_subsumption_resolution,[status(thm)],[c_15264,c_14342]) ).

cnf(c_26911,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_26910,c_15142]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV926-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.18/0.34  % Computer : n019.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Aug 29 04:18:43 EDT 2023
% 0.18/0.34  % CPUTime  : 
% 0.21/0.46  Running first-order theorem proving
% 0.21/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.80/2.17  % SZS status Started for theBenchmark.p
% 9.80/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 9.80/2.17  
% 9.80/2.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.80/2.17  
% 9.80/2.17  ------  iProver source info
% 9.80/2.17  
% 9.80/2.17  git: date: 2023-05-31 18:12:56 +0000
% 9.80/2.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.80/2.17  git: non_committed_changes: false
% 9.80/2.17  git: last_make_outside_of_git: false
% 9.80/2.17  
% 9.80/2.17  ------ Parsing...successful
% 9.80/2.17  
% 9.80/2.17  
% 9.80/2.17  
% 9.80/2.17  ------ Preprocessing... sup_sim: 12  sf_s  rm: 17 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 9.80/2.17  
% 9.80/2.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.80/2.17  
% 9.80/2.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.80/2.17  ------ Proving...
% 9.80/2.17  ------ Problem Properties 
% 9.80/2.17  
% 9.80/2.17  
% 9.80/2.17  clauses                                 366
% 9.80/2.17  conjectures                             5
% 9.80/2.17  EPR                                     19
% 9.80/2.17  Horn                                    350
% 9.80/2.17  unary                                   162
% 9.80/2.17  binary                                  163
% 9.80/2.17  lits                                    615
% 9.80/2.17  lits eq                                 268
% 9.80/2.17  fd_pure                                 0
% 9.80/2.17  fd_pseudo                               0
% 9.80/2.17  fd_cond                                 0
% 9.80/2.17  fd_pseudo_cond                          58
% 9.80/2.17  AC symbols                              0
% 9.80/2.17  
% 9.80/2.17  ------ Input Options Time Limit: Unbounded
% 9.80/2.17  
% 9.80/2.17  
% 9.80/2.17  ------ 
% 9.80/2.17  Current options:
% 9.80/2.17  ------ 
% 9.80/2.17  
% 9.80/2.17  
% 9.80/2.17  
% 9.80/2.17  
% 9.80/2.17  ------ Proving...
% 9.80/2.17  
% 9.80/2.17  
% 9.80/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 9.80/2.17  
% 9.80/2.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.80/2.17  
% 9.80/2.17  
%------------------------------------------------------------------------------