TSTP Solution File: SET860-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET860-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 : Fri May  3 03:01:51 EDT 2024

% Result   : Unsatisfiable 64.67s 9.73s
% Output   : CNFRefutation 64.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (   4 unt;   9 nHn;  19 RR)
%            Number of literals    :   53 (   0 equ;  24 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    ~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_51,negated_conjecture,
    ( ~ c_in(X0,v_C,tc_set(t_a))
    | c_lessequals(X0,v_A,tc_set(t_a))
    | c_lessequals(v_B,X0,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_150,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/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_0) ).

cnf(c_151,plain,
    ( ~ c_in(X0,c_Union(X1,X2),X2)
    | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OUnionE_1) ).

cnf(c_159,plain,
    ( ~ c_lessequals(X0,X1,tc_set(X2))
    | ~ c_in(X3,X0,X2)
    | c_in(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).

cnf(c_160,plain,
    ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).

cnf(c_161,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).

cnf(c_1383,plain,
    ( ~ c_in(X0,X1,tc_set(X2))
    | ~ c_in(X3,X0,X2)
    | c_in(X3,c_Union(X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnionI_0) ).

cnf(c_72842,plain,
    ( ~ c_in(X0,c_Union(v_C,t_a),t_a)
    | c_lessequals(c_Main_OUnionE__1(X0,v_C,t_a),v_A,tc_set(t_a))
    | c_lessequals(v_B,c_Main_OUnionE__1(X0,v_C,t_a),tc_set(t_a)) ),
    inference(superposition,[status(thm)],[c_150,c_51]) ).

cnf(c_72990,plain,
    ( ~ c_in(X0,c_Main_OUnionE__1(X1,v_C,t_a),t_a)
    | ~ c_in(X1,c_Union(v_C,t_a),t_a)
    | c_lessequals(v_B,c_Main_OUnionE__1(X1,v_C,t_a),tc_set(t_a))
    | c_in(X0,v_A,t_a) ),
    inference(superposition,[status(thm)],[c_72842,c_159]) ).

cnf(c_73042,plain,
    ( ~ c_in(X0,c_Union(v_C,t_a),t_a)
    | c_lessequals(v_B,c_Main_OUnionE__1(X0,v_C,t_a),tc_set(t_a))
    | c_in(X0,v_A,t_a) ),
    inference(superposition,[status(thm)],[c_151,c_72990]) ).

cnf(c_73057,plain,
    ( ~ c_in(X0,c_Union(v_C,t_a),t_a)
    | ~ c_in(X1,v_B,t_a)
    | c_in(X1,c_Main_OUnionE__1(X0,v_C,t_a),t_a)
    | c_in(X0,v_A,t_a) ),
    inference(superposition,[status(thm)],[c_73042,c_159]) ).

cnf(c_73748,plain,
    ( ~ c_in(X0,c_Main_OUnionE__1(X1,X2,X3),X3)
    | ~ c_in(X1,c_Union(X2,X3),X3)
    | c_in(X0,c_Union(X2,X3),X3) ),
    inference(superposition,[status(thm)],[c_150,c_1383]) ).

cnf(c_73849,plain,
    ( ~ c_in(X0,c_Union(v_C,t_a),t_a)
    | ~ c_in(X1,v_B,t_a)
    | c_in(X1,c_Union(v_C,t_a),t_a)
    | c_in(X0,v_A,t_a) ),
    inference(superposition,[status(thm)],[c_73057,c_73748]) ).

cnf(c_73957,plain,
    ( ~ c_in(X0,v_B,t_a)
    | c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),X1,t_a),v_A,t_a)
    | c_lessequals(c_Union(v_C,t_a),X1,tc_set(t_a))
    | c_in(X0,c_Union(v_C,t_a),t_a) ),
    inference(superposition,[status(thm)],[c_160,c_73849]) ).

cnf(c_73966,plain,
    ( ~ c_in(X0,v_B,t_a)
    | c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a))
    | c_in(X0,c_Union(v_C,t_a),t_a) ),
    inference(superposition,[status(thm)],[c_73957,c_161]) ).

cnf(c_73967,plain,
    ( ~ c_in(X0,v_B,t_a)
    | c_in(X0,c_Union(v_C,t_a),t_a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_73966,c_49]) ).

cnf(c_73975,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,c_Union(v_C,t_a),t_a),v_B,t_a)
    | c_lessequals(X0,c_Union(v_C,t_a),tc_set(t_a)) ),
    inference(superposition,[status(thm)],[c_73967,c_161]) ).

cnf(c_73982,plain,
    c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
    inference(superposition,[status(thm)],[c_160,c_73975]) ).

cnf(c_73983,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_73982,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SET860-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May  2 20:14:55 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 64.67/9.73  % SZS status Started for theBenchmark.p
% 64.67/9.73  % SZS status Unsatisfiable for theBenchmark.p
% 64.67/9.73  
% 64.67/9.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 64.67/9.73  
% 64.67/9.73  ------  iProver source info
% 64.67/9.73  
% 64.67/9.73  git: date: 2024-05-02 19:28:25 +0000
% 64.67/9.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 64.67/9.73  git: non_committed_changes: false
% 64.67/9.73  
% 64.67/9.73  ------ Parsing...successful
% 64.67/9.73  
% 64.67/9.73  
% 64.67/9.73  
% 64.67/9.73  ------ 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 
% 64.67/9.73  
% 64.67/9.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 64.67/9.73  
% 64.67/9.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 64.67/9.73  ------ Proving...
% 64.67/9.73  ------ Problem Properties 
% 64.67/9.73  
% 64.67/9.73  
% 64.67/9.73  clauses                                 298
% 64.67/9.73  conjectures                             3
% 64.67/9.73  EPR                                     26
% 64.67/9.73  Horn                                    270
% 64.67/9.73  unary                                   77
% 64.67/9.73  binary                                  173
% 64.67/9.73  lits                                    567
% 64.67/9.73  lits eq                                 162
% 64.67/9.73  fd_pure                                 0
% 64.67/9.73  fd_pseudo                               0
% 64.67/9.73  fd_cond                                 21
% 64.67/9.73  fd_pseudo_cond                          40
% 64.67/9.73  AC symbols                              0
% 64.67/9.73  
% 64.67/9.73  ------ Input Options Time Limit: Unbounded
% 64.67/9.73  
% 64.67/9.73  
% 64.67/9.73  ------ 
% 64.67/9.73  Current options:
% 64.67/9.73  ------ 
% 64.67/9.73  
% 64.67/9.73  
% 64.67/9.73  
% 64.67/9.73  
% 64.67/9.73  ------ Proving...
% 64.67/9.73  
% 64.67/9.73  
% 64.67/9.73  % SZS status Unsatisfiable for theBenchmark.p
% 64.67/9.73  
% 64.67/9.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 64.67/9.73  
% 64.67/9.73  
%------------------------------------------------------------------------------