TSTP Solution File: SWV841-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV841-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 22:42:50 EDT 2023

% Result   : Unsatisfiable 12.22s 2.62s
% Output   : CNFRefutation 12.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   20 (  15 unt;   0 nHn;  10 RR)
%            Number of literals    :   26 (   5 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :   35 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_111,plain,
    c_lessequals(X0,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X0),X2),tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).

cnf(c_155,plain,
    c_Collect(X0,X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(c_471,plain,
    c_lessequals(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X0),tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).

cnf(c_486,plain,
    ( ~ c_lessequals(X0,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_asm_0) ).

cnf(c_505,plain,
    hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Collect(c_fequal(X1,X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).

cnf(c_529,plain,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),X2) = hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).

cnf(c_533,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut_0) ).

cnf(c_548,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_549,negated_conjecture,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_3081,plain,
    hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_fequal(X1,X0),
    inference(demodulation,[status(thm)],[c_505,c_155]) ).

cnf(c_3580,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a) ),
    inference(demodulation,[status(thm)],[c_549,c_3081]) ).

cnf(c_3869,plain,
    hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),c_fequal(X1,X0)),X2) = hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),
    inference(light_normalisation,[status(thm)],[c_529,c_3081]) ).

cnf(c_16677,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),X2),X2,X0),
    inference(superposition,[status(thm)],[c_471,c_486]) ).

cnf(c_16752,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)),X1),X2),X1,X0),
    inference(superposition,[status(thm)],[c_111,c_486]) ).

cnf(c_17016,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),X0,t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,X0,t_a) ),
    inference(superposition,[status(thm)],[c_548,c_533]) ).

cnf(c_17116,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a),
    inference(superposition,[status(thm)],[c_16677,c_17016]) ).

cnf(c_17126,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(backward_subsumption_resolution,[status(thm)],[c_3580,c_17116]) ).

cnf(c_31489,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),X2),c_fequal(X1,tc_Hoare__Mirabelle_Otriple(X0)),X0),
    inference(superposition,[status(thm)],[c_3869,c_16752]) ).

cnf(c_33978,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(superposition,[status(thm)],[c_31489,c_17016]) ).

cnf(c_33989,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_33978,c_17126]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SWV841-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.10  % Command  : run_iprover %s %d THM
% 0.09/0.31  % Computer : n011.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue Aug 29 06:56:11 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.22/2.62  % SZS status Started for theBenchmark.p
% 12.22/2.62  % SZS status Unsatisfiable for theBenchmark.p
% 12.22/2.62  
% 12.22/2.62  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 12.22/2.62  
% 12.22/2.62  ------  iProver source info
% 12.22/2.62  
% 12.22/2.62  git: date: 2023-05-31 18:12:56 +0000
% 12.22/2.62  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 12.22/2.62  git: non_committed_changes: false
% 12.22/2.62  git: last_make_outside_of_git: false
% 12.22/2.62  
% 12.22/2.62  ------ Parsing...successful
% 12.22/2.62  
% 12.22/2.62  
% 12.22/2.62  
% 12.22/2.62  ------ Preprocessing... sup_sim: 77  sf_s  rm: 52 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 12.22/2.62  
% 12.22/2.62  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.22/2.62  
% 12.22/2.62  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 12.22/2.62  ------ Proving...
% 12.22/2.62  ------ Problem Properties 
% 12.22/2.62  
% 12.22/2.62  
% 12.22/2.62  clauses                                 382
% 12.22/2.62  conjectures                             1
% 12.22/2.62  EPR                                     19
% 12.22/2.62  Horn                                    346
% 12.22/2.62  unary                                   111
% 12.22/2.62  binary                                  168
% 12.22/2.62  lits                                    779
% 12.22/2.62  lits eq                                 222
% 12.22/2.62  fd_pure                                 0
% 12.22/2.62  fd_pseudo                               0
% 12.22/2.62  fd_cond                                 0
% 12.22/2.62  fd_pseudo_cond                          34
% 12.22/2.62  AC symbols                              0
% 12.22/2.62  
% 12.22/2.62  ------ Schedule dynamic 5 is on 
% 12.22/2.62  
% 12.22/2.62  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 12.22/2.62  
% 12.22/2.62  
% 12.22/2.62  ------ 
% 12.22/2.62  Current options:
% 12.22/2.62  ------ 
% 12.22/2.62  
% 12.22/2.62  
% 12.22/2.62  
% 12.22/2.62  
% 12.22/2.62  ------ Proving...
% 12.22/2.62  
% 12.22/2.62  
% 12.22/2.62  % SZS status Unsatisfiable for theBenchmark.p
% 12.22/2.62  
% 12.22/2.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.22/2.62  
% 12.22/2.62  
%------------------------------------------------------------------------------