TSTP Solution File: SET247-6 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET247-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 03:00:22 EDT 2024

% Result   : Unsatisfiable 20.96s 3.65s
% Output   : CNFRefutation 20.96s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    restrict(xr,x,null_class) != null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_with_null_class3_1) ).

cnf(c_71,plain,
    ( ~ subclass(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(c_72,plain,
    ( member(not_subclass_element(X0,X1),X0)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(c_73,plain,
    ( ~ member(not_subclass_element(X0,X1),X1)
    | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(c_74,plain,
    subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c_85,plain,
    ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
    | member(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).

cnf(c_87,plain,
    ( ~ member(X0,cross_product(X1,X2))
    | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).

cnf(c_91,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(c_94,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(c_98,plain,
    intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).

cnf(c_99,plain,
    intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction2) ).

cnf(c_132,plain,
    ( ~ function(X0)
    | subclass(X0,cross_product(universal_class,universal_class)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',function1) ).

cnf(c_136,plain,
    ( X0 = null_class
    | member(regular(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c_3029,plain,
    restrict(xr,x,null_class) = sP0_iProver_def,
    definition ).

cnf(c_3030,negated_conjecture,
    sP0_iProver_def != null_class,
    inference(demodulation,[status(thm)],[c_49,c_3029]) ).

cnf(c_3031,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_3033,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_4187,plain,
    ( member(not_subclass_element(intersection(X0,X1),X2),X0)
    | subclass(intersection(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_72,c_91]) ).

cnf(c_4242,plain,
    ( ~ member(not_subclass_element(complement(X0),X1),X0)
    | subclass(complement(X0),X1) ),
    inference(superposition,[status(thm)],[c_72,c_94]) ).

cnf(c_4243,plain,
    ( ~ member(regular(complement(X0)),X0)
    | complement(X0) = null_class ),
    inference(superposition,[status(thm)],[c_136,c_94]) ).

cnf(c_4248,plain,
    ( ~ member(regular(complement(universal_class)),universal_class)
    | complement(universal_class) = null_class ),
    inference(instantiation,[status(thm)],[c_4243]) ).

cnf(c_4396,plain,
    ( ~ member(X0,X1)
    | member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_74,c_71]) ).

cnf(c_4403,plain,
    ( ~ member(X0,X1)
    | ~ function(X1)
    | member(X0,cross_product(universal_class,universal_class)) ),
    inference(superposition,[status(thm)],[c_132,c_71]) ).

cnf(c_4458,plain,
    ( member(not_subclass_element(X0,X1),universal_class)
    | subclass(X0,X1) ),
    inference(superposition,[status(thm)],[c_72,c_4396]) ).

cnf(c_4696,plain,
    ( ~ member(X0,restrict(X1,X2,X3))
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_98,c_91]) ).

cnf(c_4769,plain,
    ( sP0_iProver_def = null_class
    | member(regular(sP0_iProver_def),sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_136]) ).

cnf(c_4795,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,xr) ),
    inference(superposition,[status(thm)],[c_3029,c_4696]) ).

cnf(c_4815,plain,
    ( member(not_subclass_element(sP0_iProver_def,X0),xr)
    | subclass(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_72,c_4795]) ).

cnf(c_4816,plain,
    ( null_class = sP0_iProver_def
    | member(regular(sP0_iProver_def),xr) ),
    inference(superposition,[status(thm)],[c_136,c_4795]) ).

cnf(c_4844,plain,
    ( null_class != X0
    | sP0_iProver_def != X0
    | sP0_iProver_def = null_class ),
    inference(instantiation,[status(thm)],[c_3033]) ).

cnf(c_5218,plain,
    subclass(complement(universal_class),X0),
    inference(superposition,[status(thm)],[c_4458,c_4242]) ).

cnf(c_5268,plain,
    ( ~ member(X0,complement(universal_class))
    | member(X0,X1) ),
    inference(superposition,[status(thm)],[c_5218,c_71]) ).

cnf(c_5281,plain,
    ( complement(universal_class) = null_class
    | member(regular(complement(universal_class)),X0) ),
    inference(superposition,[status(thm)],[c_136,c_5268]) ).

cnf(c_5284,plain,
    ( complement(universal_class) = null_class
    | member(regular(complement(universal_class)),universal_class) ),
    inference(instantiation,[status(thm)],[c_5281]) ).

cnf(c_5291,plain,
    complement(universal_class) = null_class,
    inference(global_subsumption_just,[status(thm)],[c_5281,c_4248,c_5284]) ).

cnf(c_5294,plain,
    ( ~ member(X0,null_class)
    | member(X0,X1) ),
    inference(demodulation,[status(thm)],[c_5268,c_5291]) ).

cnf(c_5308,plain,
    ( ~ member(X0,null_class)
    | ~ member(X0,universal_class) ),
    inference(superposition,[status(thm)],[c_5291,c_94]) ).

cnf(c_5323,plain,
    ~ member(X0,null_class),
    inference(global_subsumption_just,[status(thm)],[c_5294,c_4396,c_5294,c_5308]) ).

cnf(c_5353,plain,
    ( ~ member(regular(sP0_iProver_def),sP0_iProver_def)
    | ~ subclass(sP0_iProver_def,X0)
    | member(regular(sP0_iProver_def),X0) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_6622,plain,
    subclass(intersection(X0,X1),X0),
    inference(superposition,[status(thm)],[c_4187,c_73]) ).

cnf(c_6854,plain,
    subclass(restrict(X0,X1,X2),cross_product(X1,X2)),
    inference(superposition,[status(thm)],[c_99,c_6622]) ).

cnf(c_7593,plain,
    subclass(sP0_iProver_def,cross_product(x,null_class)),
    inference(superposition,[status(thm)],[c_3029,c_6854]) ).

cnf(c_7604,plain,
    ( ~ member(X0,sP0_iProver_def)
    | member(X0,cross_product(x,null_class)) ),
    inference(superposition,[status(thm)],[c_7593,c_71]) ).

cnf(c_7968,plain,
    ( ~ member(ordered_pair(X0,X1),sP0_iProver_def)
    | member(X1,null_class) ),
    inference(superposition,[status(thm)],[c_7604,c_85]) ).

cnf(c_7971,plain,
    ( ~ member(X0,sP0_iProver_def)
    | ordered_pair(first(X0),second(X0)) = X0 ),
    inference(superposition,[status(thm)],[c_7604,c_87]) ).

cnf(c_7978,plain,
    ~ member(ordered_pair(X0,X1),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_7968,c_5323]) ).

cnf(c_8574,plain,
    ( ~ subclass(sP0_iProver_def,cross_product(universal_class,universal_class))
    | ~ member(regular(sP0_iProver_def),sP0_iProver_def)
    | member(regular(sP0_iProver_def),cross_product(universal_class,universal_class)) ),
    inference(instantiation,[status(thm)],[c_5353]) ).

cnf(c_9094,plain,
    sP0_iProver_def = sP0_iProver_def,
    inference(instantiation,[status(thm)],[c_3031]) ).

cnf(c_11291,plain,
    ( ~ function(xr)
    | member(not_subclass_element(sP0_iProver_def,X0),cross_product(universal_class,universal_class))
    | subclass(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_4815,c_4403]) ).

cnf(c_11292,plain,
    ( ~ function(xr)
    | null_class = sP0_iProver_def
    | member(regular(sP0_iProver_def),cross_product(universal_class,universal_class)) ),
    inference(superposition,[status(thm)],[c_4816,c_4403]) ).

cnf(c_14064,plain,
    ( ordered_pair(first(regular(sP0_iProver_def)),second(regular(sP0_iProver_def))) = regular(sP0_iProver_def)
    | null_class = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_136,c_7971]) ).

cnf(c_20713,plain,
    ( ~ function(xr)
    | subclass(sP0_iProver_def,cross_product(universal_class,universal_class)) ),
    inference(superposition,[status(thm)],[c_11291,c_73]) ).

cnf(c_20787,plain,
    ( ~ function(xr)
    | member(regular(sP0_iProver_def),cross_product(universal_class,universal_class)) ),
    inference(global_subsumption_just,[status(thm)],[c_11292,c_3030,c_4769,c_8574,c_20713]) ).

cnf(c_20795,plain,
    ( ~ function(xr)
    | ordered_pair(first(regular(sP0_iProver_def)),second(regular(sP0_iProver_def))) = regular(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_20787,c_87]) ).

cnf(c_28035,plain,
    ( null_class != sP0_iProver_def
    | sP0_iProver_def != sP0_iProver_def
    | sP0_iProver_def = null_class ),
    inference(instantiation,[status(thm)],[c_4844]) ).

cnf(c_50479,plain,
    ordered_pair(first(regular(sP0_iProver_def)),second(regular(sP0_iProver_def))) = regular(sP0_iProver_def),
    inference(global_subsumption_just,[status(thm)],[c_20795,c_3030,c_9094,c_14064,c_28035]) ).

cnf(c_50497,plain,
    ~ member(regular(sP0_iProver_def),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_50479,c_7978]) ).

cnf(c_50612,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_50497,c_4769,c_3030]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET247-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 20:21:23 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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
% 20.96/3.65  % SZS status Started for theBenchmark.p
% 20.96/3.65  % SZS status Unsatisfiable for theBenchmark.p
% 20.96/3.65  
% 20.96/3.65  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.96/3.65  
% 20.96/3.65  ------  iProver source info
% 20.96/3.65  
% 20.96/3.65  git: date: 2024-05-02 19:28:25 +0000
% 20.96/3.65  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.96/3.65  git: non_committed_changes: false
% 20.96/3.65  
% 20.96/3.65  ------ Parsing...successful
% 20.96/3.65  
% 20.96/3.65  
% 20.96/3.65  
% 20.96/3.65  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 20.96/3.65  
% 20.96/3.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 20.96/3.65  
% 20.96/3.65  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 20.96/3.65  ------ Proving...
% 20.96/3.65  ------ Problem Properties 
% 20.96/3.65  
% 20.96/3.65  
% 20.96/3.65  clauses                                 102
% 20.96/3.65  conjectures                             1
% 20.96/3.65  EPR                                     13
% 20.96/3.65  Horn                                    94
% 20.96/3.65  unary                                   41
% 20.96/3.65  binary                                  40
% 20.96/3.65  lits                                    190
% 20.96/3.65  lits eq                                 46
% 20.96/3.65  fd_pure                                 0
% 20.96/3.65  fd_pseudo                               0
% 20.96/3.65  fd_cond                                 3
% 20.96/3.65  fd_pseudo_cond                          7
% 20.96/3.65  AC symbols                              0
% 20.96/3.65  
% 20.96/3.65  ------ Schedule dynamic 5 is on 
% 20.96/3.65  
% 20.96/3.65  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.96/3.65  
% 20.96/3.65  
% 20.96/3.65  ------ 
% 20.96/3.65  Current options:
% 20.96/3.65  ------ 
% 20.96/3.65  
% 20.96/3.65  
% 20.96/3.65  
% 20.96/3.65  
% 20.96/3.65  ------ Proving...
% 20.96/3.65  
% 20.96/3.65  
% 20.96/3.65  % SZS status Unsatisfiable for theBenchmark.p
% 20.96/3.65  
% 20.96/3.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.96/3.65  
% 20.96/3.65  
%------------------------------------------------------------------------------