TSTP Solution File: SET861-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 15:10:22 EDT 2023

% Result   : Satisfiable 250.80s 32.83s
% Output   : Saturation 250.80s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_lessequals(X1,X0,tc_set(X2))
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

cnf(c_50,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_in(X3,X0,X2)
    | c_in(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

cnf(c_51,plain,
    ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

cnf(c_52,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

cnf(c_53,plain,
    ( ~ c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
    | ~ c_in(X3,X1,tc_set(X2))
    | c_in(c_union(c_insert(X3,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
    | c_in(c_Zorn_Ochain__extend__1(X0,X3,X2),X0,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).

cnf(c_54,plain,
    ( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X1,X2),X1,tc_set(X2))
    | ~ c_in(X0,c_Zorn_Ochain(X3,X2),tc_set(tc_set(X2)))
    | ~ c_in(X1,X3,tc_set(X2))
    | c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X3,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).

cnf(c_55,plain,
    c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).

cnf(c_56,plain,
    c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).

cnf(c_57,plain,
    ( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X1)),X2,tc_set(X1)),c_Zorn_Ochain(X3,X1),tc_set(tc_set(X1)))
    | ~ c_in(X2,c_Zorn_Omaxchain(X3,X1),tc_set(tc_set(X1)))
    | ~ c_in(X4,X0,X1)
    | c_in(c_Zorn_Omaxchain__super__lemma__1(X2,X5,X1),X2,tc_set(X1))
    | c_in(X4,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).

cnf(c_58,plain,
    ( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X1)),X2,tc_set(X1)),c_Zorn_Ochain(X3,X1),tc_set(tc_set(X1)))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X2,X4,X1),X4,tc_set(X1))
    | ~ c_in(X2,c_Zorn_Omaxchain(X3,X1),tc_set(tc_set(X1)))
    | ~ c_in(X5,X0,X1)
    | c_in(X5,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).

cnf(c_59,negated_conjecture,
    ( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | c_in(v_x(X0),v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_60,negated_conjecture,
    ( ~ c_in(X0,v_S,tc_set(t_a))
    | c_in(v_xa(X0),v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_61,negated_conjecture,
    ( ~ c_in(X0,v_S,tc_set(t_a))
    | c_lessequals(X0,v_xa(X0),tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_62,negated_conjecture,
    ( v_xa(X0) != X0
    | ~ c_in(X0,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_63,negated_conjecture,
    ( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(X1,X0,tc_set(t_a))
    | c_lessequals(X1,v_x(X0),tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_159,plain,
    X0_1 = X0_1,
    theory(equality) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 09:18:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 250.80/32.83  % SZS status Started for theBenchmark.p
% 250.80/32.83  % SZS status Satisfiable for theBenchmark.p
% 250.80/32.83  
% 250.80/32.83  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 250.80/32.83  
% 250.80/32.83  ------  iProver source info
% 250.80/32.83  
% 250.80/32.83  git: date: 2023-05-31 18:12:56 +0000
% 250.80/32.83  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 250.80/32.83  git: non_committed_changes: false
% 250.80/32.83  git: last_make_outside_of_git: false
% 250.80/32.83  
% 250.80/32.83  ------ Parsing...successful
% 250.80/32.83  
% 250.80/32.83  
% 250.80/32.83  
% 250.80/32.83  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 250.80/32.83  
% 250.80/32.83  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 250.80/32.83  
% 250.80/32.83  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 250.80/32.83  ------ Proving...
% 250.80/32.83  ------ Problem Properties 
% 250.80/32.83  
% 250.80/32.83  
% 250.80/32.83  clauses                                 15
% 250.80/32.83  conjectures                             5
% 250.80/32.83  EPR                                     0
% 250.80/32.83  Horn                                    12
% 250.80/32.83  unary                                   2
% 250.80/32.83  binary                                  6
% 250.80/32.83  lits                                    41
% 250.80/32.83  lits eq                                 2
% 250.80/32.83  fd_pure                                 0
% 250.80/32.83  fd_pseudo                               0
% 250.80/32.83  fd_cond                                 0
% 250.80/32.83  fd_pseudo_cond                          1
% 250.80/32.83  AC symbols                              0
% 250.80/32.83  
% 250.80/32.83  ------ Input Options Time Limit: Unbounded
% 250.80/32.83  
% 250.80/32.83  
% 250.80/32.83  ------ 
% 250.80/32.83  Current options:
% 250.80/32.83  ------ 
% 250.80/32.83  
% 250.80/32.83  
% 250.80/32.83  
% 250.80/32.83  
% 250.80/32.83  ------ Proving...
% 250.80/32.83  
% 250.80/32.83  
% 250.80/32.83  % SZS status Satisfiable for theBenchmark.p
% 250.80/32.83  
% 250.80/32.83  % SZS output start Saturation for theBenchmark.p
% See solution above
% 250.80/32.84  
% 250.80/32.84  
%------------------------------------------------------------------------------