TSTP Solution File: SET842-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET842-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 15:10:12 EDT 2023

% Result   : Unsatisfiable 10.15s 2.27s
% Output   : CNFRefutation 10.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   3 unt;   2 nHn;  11 RR)
%            Number of literals    :   25 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
    ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_54,negated_conjecture,
    ( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
    | c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_153,plain,
    ( ~ c_in(X0,c_Union(X1,X2),X2)
    | c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_0) ).

cnf(c_154,plain,
    ( ~ c_in(X0,c_Union(X1,X2),X2)
    | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_1) ).

cnf(c_162,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_in(X3,X0,X2)
    | c_in(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).

cnf(c_163,plain,
    ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).

cnf(c_164,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).

cnf(c_28155,plain,
    ( ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
    | c_lessequals(c_Main_OUnionE__1(X0,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_153,c_54]) ).

cnf(c_28399,plain,
    ( ~ c_in(X0,c_Main_OUnionE__1(X1,v_Y,tc_set(t_a)),tc_set(t_a))
    | ~ c_in(X1,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
    | c_in(X0,v_m,tc_set(t_a)) ),
    inference(superposition,[status(thm)],[c_28155,c_162]) ).

cnf(c_28472,plain,
    ( ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
    | c_in(X0,v_m,tc_set(t_a)) ),
    inference(superposition,[status(thm)],[c_154,c_28399]) ).

cnf(c_28585,plain,
    ( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),v_m,tc_set(t_a))
    | c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))) ),
    inference(superposition,[status(thm)],[c_163,c_28472]) ).

cnf(c_43993,plain,
    c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    inference(superposition,[status(thm)],[c_28585,c_164]) ).

cnf(c_43999,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_43993,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET842-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n009.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 11:42:06 EDT 2023
% 0.13/0.34  % 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
% 10.15/2.27  % SZS status Started for theBenchmark.p
% 10.15/2.27  % SZS status Unsatisfiable for theBenchmark.p
% 10.15/2.27  
% 10.15/2.27  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.15/2.27  
% 10.15/2.27  ------  iProver source info
% 10.15/2.27  
% 10.15/2.27  git: date: 2023-05-31 18:12:56 +0000
% 10.15/2.27  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.15/2.27  git: non_committed_changes: false
% 10.15/2.27  git: last_make_outside_of_git: false
% 10.15/2.27  
% 10.15/2.27  ------ Parsing...successful
% 10.15/2.27  
% 10.15/2.27  
% 10.15/2.27  
% 10.15/2.27  ------ Preprocessing... sup_sim: 1  sf_s  rm: 823 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 69 0s  sf_e  pe_s  pe_e 
% 10.15/2.27  
% 10.15/2.27  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.15/2.27  
% 10.15/2.27  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.15/2.27  ------ Proving...
% 10.15/2.27  ------ Problem Properties 
% 10.15/2.27  
% 10.15/2.27  
% 10.15/2.27  clauses                                 301
% 10.15/2.27  conjectures                             5
% 10.15/2.27  EPR                                     26
% 10.15/2.27  Horn                                    273
% 10.15/2.27  unary                                   79
% 10.15/2.27  binary                                  174
% 10.15/2.27  lits                                    573
% 10.15/2.27  lits eq                                 164
% 10.15/2.27  fd_pure                                 0
% 10.15/2.27  fd_pseudo                               0
% 10.15/2.27  fd_cond                                 21
% 10.15/2.27  fd_pseudo_cond                          41
% 10.15/2.27  AC symbols                              0
% 10.15/2.27  
% 10.15/2.27  ------ Schedule dynamic 5 is on 
% 10.15/2.27  
% 10.15/2.27  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.15/2.27  
% 10.15/2.27  
% 10.15/2.27  ------ 
% 10.15/2.27  Current options:
% 10.15/2.27  ------ 
% 10.15/2.27  
% 10.15/2.27  
% 10.15/2.27  
% 10.15/2.27  
% 10.15/2.27  ------ Proving...
% 10.15/2.27  
% 10.15/2.27  
% 10.15/2.27  % SZS status Unsatisfiable for theBenchmark.p
% 10.15/2.27  
% 10.15/2.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.15/2.27  
% 10.15/2.27  
%------------------------------------------------------------------------------