TSTP Solution File: SWV826-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV826-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 : Mon Jun 24 17:17:52 EDT 2024

% Result   : Unsatisfiable 10.15s 2.11s
% Output   : CNFRefutation 10.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (   9 unt;   9 nHn;  15 RR)
%            Number of literals    :   47 (   3 equ;  17 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-4 aty)
%            Number of variables   :   59 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_136,plain,
    c_Collect(X0,X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(c_461,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/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).

cnf(c_488,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | ~ hBOOL(hAPP(hAPP(X1,X4),v_sko__Hoare__Mirabelle__Xconseq12__2(X5,X1,X6,X3)))
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X2,X6,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | hBOOL(hAPP(hAPP(X3,X4),v_sko__Hoare__Mirabelle__Xconseq12__3(X5,X1,X6,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq12_1) ).

cnf(c_493,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq12__1(X4,X1,X5,X3)),v_sko__Hoare__Mirabelle__Xconseq12__2(X4,X1,X5,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq12_0) ).

cnf(c_495,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | ~ hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq12__1(X5,X1,X4,X3)),v_sko__Hoare__Mirabelle__Xconseq12__3(X5,X1,X4,X3)))
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X2,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq12_2) ).

cnf(c_519,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_520,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_521,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
    | hBOOL(hAPP(hAPP(v_P_H,X0),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_2895,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_461,c_136]) ).

cnf(c_3169,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(demodulation,[status(thm)],[c_519,c_2895]) ).

cnf(c_3297,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(demodulation,[status(thm)],[c_520,c_2895]) ).

cnf(c_4171,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
    | hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq12__1(X4,X1,X5,X3)),v_sko__Hoare__Mirabelle__Xconseq12__2(X4,X1,X5,X3)))
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
    inference(demodulation,[status(thm)],[c_493,c_2895]) ).

cnf(c_4181,plain,
    ( ~ hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xconseq12__1(X1,X2,X0,X3)),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,X2,X0,X3)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X2,X5,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(X4,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X5,X0,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
    inference(demodulation,[status(thm)],[c_495,c_2895]) ).

cnf(c_4229,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
    | ~ hBOOL(hAPP(hAPP(X1,X4),v_sko__Hoare__Mirabelle__Xconseq12__2(X5,X1,X6,X3)))
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X5,X2,X6,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
    | hBOOL(hAPP(hAPP(X3,X4),v_sko__Hoare__Mirabelle__Xconseq12__3(X5,X1,X6,X3))) ),
    inference(demodulation,[status(thm)],[c_488,c_2895]) ).

cnf(c_12237,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
    | hBOOL(hAPP(hAPP(v_P_H,X0),X1)) ),
    inference(demodulation,[status(thm)],[c_521]) ).

cnf(c_15898,plain,
    ( hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xconseq12__1(X0,v_P_H,X1,v_Q)),v_sko__Hoare__Mirabelle__Xconseq12__2(X0,v_P_H,X1,v_Q)))
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
    inference(superposition,[status(thm)],[c_3169,c_4171]) ).

cnf(c_15920,plain,
    ( hBOOL(hAPP(hAPP(v_P_H,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P_H,X0,v_Q)),v_sko__Hoare__Mirabelle__Xconseq12__2(v_P,v_P_H,X0,v_Q)))
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,X0,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
    inference(superposition,[status(thm)],[c_15898,c_12237]) ).

cnf(c_16404,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_sko__Hoare__Mirabelle__Xconseq12__2(X1,v_P_H,X2,v_Q)))
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
    | hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,v_P_H,X2,v_Q))) ),
    inference(superposition,[status(thm)],[c_3169,c_4229]) ).

cnf(c_16523,plain,
    ( hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P_H,X0,v_Q)),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P_H,X0,v_Q)))
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,X0,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
    inference(superposition,[status(thm)],[c_15920,c_16404]) ).

cnf(c_16575,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
    inference(superposition,[status(thm)],[c_16523,c_4181]) ).

cnf(c_16576,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
    | c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16575,c_3297]) ).

cnf(c_16584,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(superposition,[status(thm)],[c_3169,c_16576]) ).

cnf(c_16585,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_16584,c_3297]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWV826-1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.10  % Command  : run_iprover %s %d THM
% 0.09/0.31  % Computer : n027.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 : Thu Jun 20 21:15:39 EDT 2024
% 0.09/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 10.15/2.11  % SZS status Started for theBenchmark.p
% 10.15/2.11  % SZS status Unsatisfiable for theBenchmark.p
% 10.15/2.11  
% 10.15/2.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.15/2.11  
% 10.15/2.11  ------  iProver source info
% 10.15/2.11  
% 10.15/2.11  git: date: 2024-06-12 09:56:46 +0000
% 10.15/2.11  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 10.15/2.11  git: non_committed_changes: false
% 10.15/2.11  
% 10.15/2.11  ------ Parsing...successful
% 10.15/2.11  
% 10.15/2.11  
% 10.15/2.11  
% 10.15/2.11  ------ Preprocessing... sup_sim: 75  sf_s  rm: 34 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 10.15/2.11  
% 10.15/2.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.15/2.11  
% 10.15/2.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.15/2.11  ------ Proving...
% 10.15/2.11  ------ Problem Properties 
% 10.15/2.11  
% 10.15/2.11  
% 10.15/2.11  clauses                                 371
% 10.15/2.11  conjectures                             1
% 10.15/2.11  EPR                                     19
% 10.15/2.11  Horn                                    343
% 10.15/2.11  unary                                   115
% 10.15/2.11  binary                                  159
% 10.15/2.11  lits                                    747
% 10.15/2.11  lits eq                                 227
% 10.15/2.11  fd_pure                                 0
% 10.15/2.11  fd_pseudo                               0
% 10.15/2.11  fd_cond                                 0
% 10.15/2.11  fd_pseudo_cond                          35
% 10.15/2.11  AC symbols                              0
% 10.15/2.11  
% 10.15/2.11  ------ Schedule dynamic 5 is on 
% 10.15/2.11  
% 10.15/2.11  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.15/2.11  
% 10.15/2.11  
% 10.15/2.11  ------ 
% 10.15/2.11  Current options:
% 10.15/2.11  ------ 
% 10.15/2.11  
% 10.15/2.11  
% 10.15/2.11  
% 10.15/2.11  
% 10.15/2.11  ------ Proving...
% 10.15/2.11  
% 10.15/2.11  
% 10.15/2.11  % SZS status Unsatisfiable for theBenchmark.p
% 10.15/2.11  
% 10.15/2.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.15/2.11  
% 10.15/2.12  
%------------------------------------------------------------------------------