TSTP Solution File: SET008-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 02:59:13 EDT 2024

% Result   : Unsatisfiable 2.22s 1.14s
% Output   : CNFRefutation 2.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   6 unt;   4 nHn;  11 RR)
%            Number of literals    :   25 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   13 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    difference(b,a,bDa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_minus_a) ).

cnf(c_50,negated_conjecture,
    ~ intersection(a,bDa,aI_bDa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bDa) ).

cnf(c_51,negated_conjecture,
    ~ member(X0,aI_bDa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aI_bDa_is_empty) ).

cnf(c_53,plain,
    ( ~ difference(X0,X1,X2)
    | ~ member(X3,X1)
    | ~ member(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).

cnf(c_61,plain,
    ( member(h(X0,X1,X2),X0)
    | member(h(X0,X1,X2),X2)
    | intersection(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).

cnf(c_62,plain,
    ( member(h(X0,X1,X2),X1)
    | member(h(X0,X1,X2),X2)
    | intersection(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).

cnf(c_569,plain,
    ( member(h(a,bDa,aI_bDa),bDa)
    | member(h(a,bDa,aI_bDa),aI_bDa) ),
    inference(resolution,[status(thm)],[c_50,c_62]) ).

cnf(c_574,plain,
    member(h(a,bDa,aI_bDa),bDa),
    inference(forward_subsumption_resolution,[status(thm)],[c_569,c_51]) ).

cnf(c_576,plain,
    ( member(h(a,bDa,aI_bDa),a)
    | member(h(a,bDa,aI_bDa),aI_bDa) ),
    inference(resolution,[status(thm)],[c_50,c_61]) ).

cnf(c_581,plain,
    member(h(a,bDa,aI_bDa),a),
    inference(forward_subsumption_resolution,[status(thm)],[c_576,c_51]) ).

cnf(c_1163,plain,
    ( ~ member(h(a,bDa,aI_bDa),X0)
    | ~ member(h(a,bDa,aI_bDa),a)
    | ~ difference(X1,a,X0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_1240,plain,
    ( ~ member(h(a,bDa,aI_bDa),a)
    | ~ member(h(a,bDa,aI_bDa),bDa)
    | ~ difference(b,a,bDa) ),
    inference(instantiation,[status(thm)],[c_1163]) ).

cnf(c_1241,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1240,c_581,c_574,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 20:47:09 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.22/1.14  % SZS status Started for theBenchmark.p
% 2.22/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.22/1.14  
% 2.22/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.22/1.14  
% 2.22/1.14  ------  iProver source info
% 2.22/1.14  
% 2.22/1.14  git: date: 2024-05-02 19:28:25 +0000
% 2.22/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.22/1.14  git: non_committed_changes: false
% 2.22/1.14  
% 2.22/1.14  ------ Parsing...successful
% 2.22/1.14  
% 2.22/1.14  
% 2.22/1.14  
% 2.22/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.22/1.14  
% 2.22/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.22/1.14  ------ Proving...
% 2.22/1.14  ------ Problem Properties 
% 2.22/1.14  
% 2.22/1.14  
% 2.22/1.14  clauses                                 18
% 2.22/1.14  conjectures                             2
% 2.22/1.14  EPR                                     10
% 2.22/1.14  Horn                                    11
% 2.22/1.14  unary                                   3
% 2.22/1.14  binary                                  2
% 2.22/1.14  lits                                    50
% 2.22/1.14  lits eq                                 0
% 2.22/1.14  fd_pure                                 0
% 2.22/1.14  fd_pseudo                               0
% 2.22/1.14  fd_cond                                 0
% 2.22/1.14  fd_pseudo_cond                          0
% 2.22/1.14  AC symbols                              0
% 2.22/1.14  
% 2.22/1.14  ------ Schedule dynamic 5 is on 
% 2.22/1.14  
% 2.22/1.14  ------ no equalities: superposition off 
% 2.22/1.14  
% 2.22/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.22/1.14  
% 2.22/1.14  
% 2.22/1.14  ------ 
% 2.22/1.14  Current options:
% 2.22/1.14  ------ 
% 2.22/1.14  
% 2.22/1.14  
% 2.22/1.14  
% 2.22/1.14  
% 2.22/1.14  ------ Proving...
% 2.22/1.14  
% 2.22/1.14  
% 2.22/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 2.22/1.14  
% 2.22/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.22/1.15  
% 2.22/1.15  
%------------------------------------------------------------------------------