TSTP Solution File: SWV858-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV858-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 22:42:53 EDT 2023

% Result   : Unsatisfiable 8.27s 1.71s
% Output   : CNFRefutation 8.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   25 (   7 unt;   5 nHn;  21 RR)
%            Number of literals    :   54 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   34 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_576,plain,
    ( ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(X0,X3))
    | hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).

cnf(c_584,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
    | ~ c_lessequals(X2,X3,tc_fun(X0,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).

cnf(c_593,plain,
    ( ~ hBOOL(hAPP(X0,X1))
    | hBOOL(hAPP(hAPP(c_in(X2),X1),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(c_594,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
    | hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(c_598,negated_conjecture,
    c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_599,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_600,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_601,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga))
    | c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_602,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts_H))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_Ga))
    | c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_603,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts_H))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_21157,plain,
    hBOOL(hAPP(v_tsa,v_xa)),
    inference(superposition,[status(thm)],[c_599,c_594]) ).

cnf(c_21192,plain,
    ( ~ hBOOL(hAPP(v_tsa,X0))
    | hBOOL(hAPP(v_ts_H,X0)) ),
    inference(superposition,[status(thm)],[c_598,c_576]) ).

cnf(c_21218,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
    | ~ hBOOL(hAPP(v_ts_H,X1))
    | c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a) ),
    inference(superposition,[status(thm)],[c_593,c_603]) ).

cnf(c_21273,plain,
    ( ~ hBOOL(hAPP(v_ts_H,X0))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_Ga))
    | c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a) ),
    inference(superposition,[status(thm)],[c_593,c_602]) ).

cnf(c_21284,plain,
    ( ~ c_lessequals(v_tsa,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),X0)) ),
    inference(superposition,[status(thm)],[c_599,c_584]) ).

cnf(c_21317,plain,
    hBOOL(hAPP(v_ts_H,v_xa)),
    inference(superposition,[status(thm)],[c_21157,c_21192]) ).

cnf(c_21363,plain,
    ( ~ hBOOL(hAPP(v_ts_H,X0))
    | c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(X1),t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a) ),
    inference(superposition,[status(thm)],[c_21273,c_601]) ).

cnf(c_21378,plain,
    ( ~ c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a) ),
    inference(superposition,[status(thm)],[c_21284,c_603]) ).

cnf(c_21537,plain,
    ( ~ hBOOL(hAPP(v_ts_H,X0))
    | ~ hBOOL(hAPP(v_ts_H,X1))
    | c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a) ),
    inference(superposition,[status(thm)],[c_21363,c_21218]) ).

cnf(c_21637,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a) ),
    inference(global_subsumption_just,[status(thm)],[c_21378,c_598,c_21378]) ).

cnf(c_21648,plain,
    ( ~ hBOOL(hAPP(v_ts_H,X0))
    | c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a) ),
    inference(superposition,[status(thm)],[c_21363,c_21637]) ).

cnf(c_21771,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)
    | ~ hBOOL(hAPP(v_ts_H,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_21537,c_600,c_21648]) ).

cnf(c_21772,plain,
    ( ~ hBOOL(hAPP(v_ts_H,X0))
    | c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
    inference(renaming,[status(thm)],[c_21771]) ).

cnf(c_21777,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    inference(superposition,[status(thm)],[c_21317,c_21772]) ).

cnf(c_21778,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_600,c_21777]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV858-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.35  % Computer : n010.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Tue Aug 29 05:31:19 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.49  Running first-order theorem proving
% 0.19/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.27/1.71  % SZS status Started for theBenchmark.p
% 8.27/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 8.27/1.71  
% 8.27/1.71  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.27/1.71  
% 8.27/1.71  ------  iProver source info
% 8.27/1.71  
% 8.27/1.71  git: date: 2023-05-31 18:12:56 +0000
% 8.27/1.71  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.27/1.71  git: non_committed_changes: false
% 8.27/1.71  git: last_make_outside_of_git: false
% 8.27/1.71  
% 8.27/1.71  ------ Parsing...successful
% 8.27/1.71  
% 8.27/1.71  
% 8.27/1.71  
% 8.27/1.71  ------ Preprocessing... sup_sim: 32  sf_s  rm: 32 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 1  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 8.27/1.71  
% 8.27/1.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.27/1.71  
% 8.27/1.71  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.27/1.71  ------ Proving...
% 8.27/1.71  ------ Problem Properties 
% 8.27/1.71  
% 8.27/1.71  
% 8.27/1.71  clauses                                 456
% 8.27/1.71  conjectures                             6
% 8.27/1.71  EPR                                     50
% 8.27/1.71  Horn                                    413
% 8.27/1.71  unary                                   132
% 8.27/1.71  binary                                  181
% 8.27/1.71  lits                                    955
% 8.27/1.71  lits eq                                 244
% 8.27/1.71  fd_pure                                 0
% 8.27/1.71  fd_pseudo                               0
% 8.27/1.71  fd_cond                                 0
% 8.27/1.71  fd_pseudo_cond                          32
% 8.27/1.71  AC symbols                              0
% 8.27/1.71  
% 8.27/1.71  ------ Input Options Time Limit: Unbounded
% 8.27/1.71  
% 8.27/1.71  
% 8.27/1.71  ------ 
% 8.27/1.71  Current options:
% 8.27/1.71  ------ 
% 8.27/1.71  
% 8.27/1.71  
% 8.27/1.71  
% 8.27/1.71  
% 8.27/1.71  ------ Proving...
% 8.27/1.71  
% 8.27/1.71  
% 8.27/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 8.27/1.71  
% 8.27/1.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.27/1.71  
% 8.27/1.71  
%------------------------------------------------------------------------------