TSTP Solution File: SWV849-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV849-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n001.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 22:42:52 EDT 2023

% Result   : Unsatisfiable 7.44s 1.68s
% Output   : CNFRefutation 7.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   53 (  13 unt;  14 nHn;  53 RR)
%            Number of literals    :  138 (  10 equ;  80 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-4 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-2 aty)
%            Number of variables   :   41 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_507,negated_conjecture,
    hBOOL(hAPP(v_ba,v_s0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_508,negated_conjecture,
    c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_510,negated_conjecture,
    v_ba = v_b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_511,negated_conjecture,
    v_ca = v_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_512,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_513,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
    | c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_514,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | hBOOL(hAPP(v_b,v_s2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(c_519,negated_conjecture,
    ( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
    | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
    | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).

cnf(c_520,negated_conjecture,
    ( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
    | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ hBOOL(hAPP(v_b,v_s2))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).

cnf(c_521,negated_conjecture,
    ( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
    | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_14) ).

cnf(c_522,negated_conjecture,
    ( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
    | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ hBOOL(hAPP(v_b,v_s2))
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_15) ).

cnf(c_523,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
    | ~ c_Natural_Oevaln(v_c,X1,X2,X3)
    | ~ hBOOL(hAPP(v_b,X1))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X2)),v_G))
    | hBOOL(hAPP(hAPP(v_P,X0),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_16) ).

cnf(c_524,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
    | ~ c_Natural_Oevaln(v_c,X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X2,v_n(X2),t_a)
    | ~ hBOOL(hAPP(v_b,X1))
    | hBOOL(hAPP(hAPP(v_P,X0),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_17) ).

cnf(c_3765,plain,
    hBOOL(hAPP(v_b,v_s0)),
    inference(light_normalisation,[status(thm)],[c_507,c_510]) ).

cnf(c_4849,plain,
    ( c_Com_Ocom_OWhile(v_b,v_ca) != c_Com_Ocom_OWhile(v_b,v_ca)
    | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ hBOOL(hAPP(v_b,v_s2))
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(light_normalisation,[status(thm)],[c_522,c_510,c_511]) ).

cnf(c_4850,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ hBOOL(hAPP(v_b,v_s2))
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(equality_resolution_simp,[status(thm)],[c_4849]) ).

cnf(c_4885,plain,
    ( c_Com_Ocom_OWhile(v_b,v_ca) != c_Com_Ocom_OWhile(v_b,v_ca)
    | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ),
    inference(light_normalisation,[status(thm)],[c_521,c_510,c_511]) ).

cnf(c_4886,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ),
    inference(equality_resolution_simp,[status(thm)],[c_4885]) ).

cnf(c_4977,plain,
    ( c_Com_Ocom_OWhile(v_b,v_ca) != c_Com_Ocom_OWhile(v_b,v_ca)
    | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ hBOOL(hAPP(v_b,v_s2))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    inference(light_normalisation,[status(thm)],[c_520,c_510,c_511]) ).

cnf(c_4978,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ hBOOL(hAPP(v_b,v_s2))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    inference(equality_resolution_simp,[status(thm)],[c_4977]) ).

cnf(c_5020,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
    | ~ c_Natural_Oevaln(v_ca,X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X2,v_n(X2),t_a)
    | ~ hBOOL(hAPP(v_b,X1))
    | hBOOL(hAPP(hAPP(v_P,X0),X3)) ),
    inference(light_normalisation,[status(thm)],[c_524,c_511]) ).

cnf(c_5031,plain,
    ( c_Com_Ocom_OWhile(v_b,v_ca) != c_Com_Ocom_OWhile(v_b,v_ca)
    | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
    | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ),
    inference(light_normalisation,[status(thm)],[c_519,c_510,c_511]) ).

cnf(c_5032,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
    | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ),
    inference(equality_resolution_simp,[status(thm)],[c_5031]) ).

cnf(c_5118,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
    | ~ c_Natural_Oevaln(v_ca,X1,X2,X3)
    | ~ hBOOL(hAPP(v_b,X1))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X2)),v_G))
    | hBOOL(hAPP(hAPP(v_P,X0),X3)) ),
    inference(light_normalisation,[status(thm)],[c_523,c_511]) ).

cnf(c_15580,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_4978]) ).

cnf(c_15581,plain,
    ( ~ hBOOL(hAPP(v_b,v_s2))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
    | sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4978]) ).

cnf(c_15586,plain,
    ( ~ hBOOL(hAPP(v_b,v_s2))
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4850]) ).

cnf(c_21464,plain,
    ( ~ c_Natural_Oevaln(v_ca,v_s0,X0,X1)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
    | ~ hBOOL(hAPP(v_b,v_s0))
    | hBOOL(hAPP(hAPP(v_P,v_xb),X1)) ),
    inference(superposition,[status(thm)],[c_512,c_5020]) ).

cnf(c_21466,plain,
    ( ~ c_Natural_Oevaln(v_ca,v_s0,X0,X1)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
    | hBOOL(hAPP(hAPP(v_P,v_xb),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21464,c_3765]) ).

cnf(c_21487,plain,
    ( ~ c_Natural_Oevaln(v_ca,v_s0,X0,X1)
    | ~ hBOOL(hAPP(v_b,v_s0))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_G))
    | hBOOL(hAPP(hAPP(v_P,v_xb),X1)) ),
    inference(superposition,[status(thm)],[c_512,c_5118]) ).

cnf(c_21489,plain,
    ( ~ c_Natural_Oevaln(v_ca,v_s0,X0,X1)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_G))
    | hBOOL(hAPP(hAPP(v_P,v_xb),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21487,c_3765]) ).

cnf(c_21523,plain,
    ( ~ hBOOL(hAPP(v_b,v_s2))
    | c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_15581,c_513]) ).

cnf(c_21527,plain,
    ( ~ hBOOL(hAPP(v_b,v_s2))
    | sP0_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_21523,c_15586,c_21523]) ).

cnf(c_21560,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
    | hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)) ),
    inference(superposition,[status(thm)],[c_508,c_21466]) ).

cnf(c_21567,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
    inference(superposition,[status(thm)],[c_21560,c_4886]) ).

cnf(c_21568,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_21560,c_15580]) ).

cnf(c_21592,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
    inference(global_subsumption_just,[status(thm)],[c_21567,c_514,c_21527,c_21568,c_21567]) ).

cnf(c_21593,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(renaming,[status(thm)],[c_21592]) ).

cnf(c_21604,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
    | hBOOL(hAPP(v_b,v_s2)) ),
    inference(superposition,[status(thm)],[c_5032,c_514]) ).

cnf(c_21607,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | hBOOL(hAPP(hAPP(v_P,X0),v_s2))
    | c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(superposition,[status(thm)],[c_5032,c_513]) ).

cnf(c_21627,plain,
    ( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
    | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
    inference(global_subsumption_just,[status(thm)],[c_21607,c_4886,c_21607]) ).

cnf(c_21628,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ),
    inference(renaming,[status(thm)],[c_21627]) ).

cnf(c_21634,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
    | hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
    inference(superposition,[status(thm)],[c_21560,c_21628]) ).

cnf(c_21646,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
    | hBOOL(hAPP(v_b,v_s2))
    | c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(superposition,[status(thm)],[c_21604,c_513]) ).

cnf(c_21687,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a),
    inference(global_subsumption_just,[status(thm)],[c_21634,c_21527,c_21560,c_21568,c_21593,c_21646]) ).

cnf(c_21703,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))
    | hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)) ),
    inference(superposition,[status(thm)],[c_508,c_21489]) ).

cnf(c_21752,plain,
    ( hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
    | c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
    inference(superposition,[status(thm)],[c_21703,c_513]) ).

cnf(c_21753,plain,
    hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_21752,c_21687]) ).

cnf(c_21760,plain,
    hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)),
    inference(superposition,[status(thm)],[c_21753,c_21628]) ).

cnf(c_21761,plain,
    ~ sP0_iProver_split,
    inference(superposition,[status(thm)],[c_21753,c_15580]) ).

cnf(c_21772,plain,
    hBOOL(hAPP(v_b,v_s2)),
    inference(backward_subsumption_resolution,[status(thm)],[c_514,c_21760]) ).

cnf(c_21773,plain,
    sP0_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_21527,c_21772]) ).

cnf(c_21774,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_21773,c_21761]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV849-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 06:28:37 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.44/1.68  % SZS status Started for theBenchmark.p
% 7.44/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.44/1.68  
% 7.44/1.68  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.44/1.68  
% 7.44/1.68  ------  iProver source info
% 7.44/1.68  
% 7.44/1.68  git: date: 2023-05-31 18:12:56 +0000
% 7.44/1.68  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.44/1.68  git: non_committed_changes: false
% 7.44/1.68  git: last_make_outside_of_git: false
% 7.44/1.68  
% 7.44/1.68  ------ Parsing...successful
% 7.44/1.68  
% 7.44/1.68  
% 7.44/1.68  
% 7.44/1.68  ------ Preprocessing... sup_sim: 26  sf_s  rm: 31 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 1  sf_s  rm: 4 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 7.44/1.68  
% 7.44/1.68  ------ Preprocessing... gs_s  sp: 6 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.44/1.68  
% 7.44/1.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.44/1.68  ------ Proving...
% 7.44/1.68  ------ Problem Properties 
% 7.44/1.68  
% 7.44/1.68  
% 7.44/1.68  clauses                                 396
% 7.44/1.68  conjectures                             6
% 7.44/1.68  EPR                                     37
% 7.44/1.68  Horn                                    356
% 7.44/1.68  unary                                   153
% 7.44/1.68  binary                                  140
% 7.44/1.68  lits                                    763
% 7.44/1.68  lits eq                                 263
% 7.44/1.68  fd_pure                                 0
% 7.44/1.68  fd_pseudo                               0
% 7.44/1.68  fd_cond                                 0
% 7.44/1.68  fd_pseudo_cond                          46
% 7.44/1.68  AC symbols                              0
% 7.44/1.68  
% 7.44/1.68  ------ Schedule dynamic 5 is on 
% 7.44/1.68  
% 7.44/1.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.44/1.68  
% 7.44/1.68  
% 7.44/1.68  ------ 
% 7.44/1.68  Current options:
% 7.44/1.68  ------ 
% 7.44/1.68  
% 7.44/1.68  
% 7.44/1.68  
% 7.44/1.68  
% 7.44/1.68  ------ Proving...
% 7.44/1.68  
% 7.44/1.68  
% 7.44/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.44/1.68  
% 7.44/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.44/1.68  
% 7.44/1.68  
%------------------------------------------------------------------------------