TSTP Solution File: SET834-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET834-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 03:01:42 EDT 2024

% Result   : Unsatisfiable 97.14s 13.88s
% Output   : CNFRefutation 97.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (   7 unt;   4 nHn;  16 RR)
%            Number of literals    :   42 (   0 equ;  19 neg)
%            Maximal clause size   :    3 (   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;   5 con; 0-3 aty)
%            Number of variables   :   40 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    c_in(v_x,v_X,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_52,negated_conjecture,
    ~ c_in(v_x,v_Z,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_53,negated_conjecture,
    ~ c_in(v_x,v_Y,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_54,negated_conjecture,
    ( ~ c_lessequals(v_Y,X0,tc_set(t_a))
    | ~ c_lessequals(v_Z,X0,tc_set(t_a))
    | c_lessequals(v_X,X0,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_162,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_163,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_164,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_1380,plain,
    ( ~ c_in(X0,X1,X2)
    | c_in(X0,c_union(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).

cnf(c_1381,plain,
    ( ~ c_in(X0,X1,X2)
    | c_in(X0,c_union(X1,X3,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).

cnf(c_1382,plain,
    ( ~ c_in(X0,c_union(X1,X2,X3),X3)
    | c_in(X0,X1,X3)
    | c_in(X0,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).

cnf(c_15180,plain,
    ( ~ c_lessequals(v_X,X0,tc_set(t_a))
    | ~ c_in(v_x,v_X,t_a)
    | c_in(v_x,X0,t_a) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_31657,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
    | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(superposition,[status(thm)],[c_1380,c_164]) ).

cnf(c_31658,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
    | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(superposition,[status(thm)],[c_1381,c_164]) ).

cnf(c_31824,plain,
    c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
    inference(superposition,[status(thm)],[c_163,c_31657]) ).

cnf(c_31937,plain,
    c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
    inference(superposition,[status(thm)],[c_163,c_31658]) ).

cnf(c_32898,plain,
    ( ~ c_lessequals(v_Y,c_union(v_Z,X0,t_a),tc_set(t_a))
    | c_lessequals(v_X,c_union(v_Z,X0,t_a),tc_set(t_a)) ),
    inference(superposition,[status(thm)],[c_31937,c_54]) ).

cnf(c_32904,plain,
    c_lessequals(v_X,c_union(v_Z,v_Y,t_a),tc_set(t_a)),
    inference(superposition,[status(thm)],[c_31824,c_32898]) ).

cnf(c_47497,plain,
    ( ~ c_in(v_x,c_union(X0,v_Y,t_a),t_a)
    | c_in(v_x,X0,t_a)
    | c_in(v_x,v_Y,t_a) ),
    inference(instantiation,[status(thm)],[c_1382]) ).

cnf(c_60196,plain,
    ( ~ c_in(v_x,c_union(v_Z,v_Y,t_a),t_a)
    | c_in(v_x,v_Y,t_a)
    | c_in(v_x,v_Z,t_a) ),
    inference(instantiation,[status(thm)],[c_47497]) ).

cnf(c_68202,plain,
    ( ~ c_lessequals(v_X,c_union(v_Z,v_Y,t_a),tc_set(t_a))
    | ~ c_in(v_x,v_X,t_a)
    | c_in(v_x,c_union(v_Z,v_Y,t_a),t_a) ),
    inference(instantiation,[status(thm)],[c_15180]) ).

cnf(c_68203,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_68202,c_60196,c_32904,c_52,c_53,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET834-1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n006.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
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 20:13:19 EDT 2024
% 0.13/0.35  % 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
% 97.14/13.88  % SZS status Started for theBenchmark.p
% 97.14/13.88  % SZS status Unsatisfiable for theBenchmark.p
% 97.14/13.88  
% 97.14/13.88  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 97.14/13.88  
% 97.14/13.88  ------  iProver source info
% 97.14/13.88  
% 97.14/13.88  git: date: 2024-05-02 19:28:25 +0000
% 97.14/13.88  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 97.14/13.88  git: non_committed_changes: false
% 97.14/13.88  
% 97.14/13.88  ------ Parsing...successful
% 97.14/13.88  
% 97.14/13.88  
% 97.14/13.88  
% 97.14/13.88  ------ Preprocessing... sup_sim: 1  sf_s  rm: 208 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  sup_sim: 0  sf_s  rm: 69 0s  sf_e  pe_s  pe_e 
% 97.14/13.88  
% 97.14/13.88  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 97.14/13.88  
% 97.14/13.88  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 97.14/13.88  ------ Proving...
% 97.14/13.88  ------ Problem Properties 
% 97.14/13.88  
% 97.14/13.88  
% 97.14/13.88  clauses                                 301
% 97.14/13.88  conjectures                             6
% 97.14/13.88  EPR                                     29
% 97.14/13.88  Horn                                    274
% 97.14/13.88  unary                                   80
% 97.14/13.88  binary                                  173
% 97.14/13.88  lits                                    570
% 97.14/13.88  lits eq                                 162
% 97.14/13.88  fd_pure                                 0
% 97.14/13.88  fd_pseudo                               0
% 97.14/13.88  fd_cond                                 21
% 97.14/13.88  fd_pseudo_cond                          40
% 97.14/13.88  AC symbols                              0
% 97.14/13.88  
% 97.14/13.88  ------ Input Options Time Limit: Unbounded
% 97.14/13.88  
% 97.14/13.88  
% 97.14/13.88  ------ 
% 97.14/13.88  Current options:
% 97.14/13.88  ------ 
% 97.14/13.88  
% 97.14/13.88  
% 97.14/13.88  
% 97.14/13.88  
% 97.14/13.88  ------ Proving...
% 97.14/13.88  
% 97.14/13.88  
% 97.14/13.88  % SZS status Unsatisfiable for theBenchmark.p
% 97.14/13.88  
% 97.14/13.88  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 97.14/13.88  
% 97.14/13.88  
%------------------------------------------------------------------------------