TSTP Solution File: SET038-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET038-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n001.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 : Mon Jun 24 14:32:36 EDT 2024

% Result   : Unsatisfiable 53.30s 8.17s
% Output   : CNFRefutation 53.30s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_54,plain,
    ( ~ little_set(X0)
    | ~ little_set(X1)
    | second(ordered_pair(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_second) ).

cnf(c_56,plain,
    ( ~ ordered_pair_predicate(X0)
    | little_set(second(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_component_is_small) ).

cnf(c_63,plain,
    ( ~ function(X0)
    | little_set(apply(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function_values_are_small) ).

cnf(c_70,plain,
    ( apply(X0,X1) != X2
    | ~ member(X1,domain_of(X0))
    | ~ function(X0)
    | member(ordered_pair(X1,X2),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply_for_functions2) ).

cnf(c_71,plain,
    maps(a_function,a_domain,a_range),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_mapping) ).

cnf(c_72,plain,
    member(a,a_domain),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_domain) ).

cnf(c_73,negated_conjecture,
    ~ member(apply(a_function,a),a_range),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mapping_in_range) ).

cnf(c_74,plain,
    ( ~ member(X0,X1)
    | little_set(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',a2) ).

cnf(c_140,plain,
    ( ~ subset(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset1) ).

cnf(c_149,plain,
    ( ~ member(X0,X1)
    | ~ relation(X1)
    | ordered_pair_predicate(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',relation1) ).

cnf(c_159,plain,
    ( ~ function(X0)
    | relation(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',function1) ).

cnf(c_179,plain,
    ( second(X0) != X1
    | ~ member(X0,X2)
    | ~ little_set(X1)
    | ~ ordered_pair_predicate(X0)
    | member(X1,range_of(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',range_of4) ).

cnf(c_193,plain,
    ( ~ maps(X0,X1,X2)
    | function(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',maps1) ).

cnf(c_194,plain,
    ( ~ maps(X0,X1,X2)
    | domain_of(X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',maps2) ).

cnf(c_195,plain,
    ( ~ maps(X0,X1,X2)
    | subset(range_of(X0),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',maps3) ).

cnf(c_220,plain,
    ( ~ member(X0,X1)
    | ~ little_set(second(X0))
    | ~ ordered_pair_predicate(X0)
    | member(second(X0),range_of(X1)) ),
    inference(unflattening,[status(thm)],[c_179]) ).

cnf(c_222,plain,
    ( ~ member(X0,domain_of(X1))
    | ~ function(X1)
    | member(ordered_pair(X0,apply(X1,X0)),X1) ),
    inference(unflattening,[status(thm)],[c_70]) ).

cnf(c_378,plain,
    ( ~ member(X0,X1)
    | ~ ordered_pair_predicate(X0)
    | member(second(X0),range_of(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_56,c_220]) ).

cnf(c_8646,plain,
    apply(a_function,a) = sP0_iProver_def,
    definition ).

cnf(c_8647,negated_conjecture,
    ~ member(sP0_iProver_def,a_range),
    inference(demodulation,[status(thm)],[c_73,c_8646]) ).

cnf(c_10503,plain,
    little_set(a),
    inference(superposition,[status(thm)],[c_72,c_74]) ).

cnf(c_10586,plain,
    ( ~ function(a_function)
    | little_set(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_8646,c_63]) ).

cnf(c_10609,plain,
    function(a_function),
    inference(superposition,[status(thm)],[c_71,c_193]) ).

cnf(c_10610,plain,
    little_set(sP0_iProver_def),
    inference(backward_subsumption_resolution,[status(thm)],[c_10586,c_10609]) ).

cnf(c_10612,plain,
    relation(a_function),
    inference(superposition,[status(thm)],[c_10609,c_159]) ).

cnf(c_12064,plain,
    subset(range_of(a_function),a_range),
    inference(superposition,[status(thm)],[c_71,c_195]) ).

cnf(c_13010,plain,
    domain_of(a_function) = a_domain,
    inference(superposition,[status(thm)],[c_71,c_194]) ).

cnf(c_13397,plain,
    ( ~ member(X0,range_of(a_function))
    | member(X0,a_range) ),
    inference(superposition,[status(thm)],[c_12064,c_140]) ).

cnf(c_17628,plain,
    ( ~ little_set(X0)
    | second(ordered_pair(a,X0)) = X0 ),
    inference(superposition,[status(thm)],[c_10503,c_54]) ).

cnf(c_21168,plain,
    ( ~ member(a,domain_of(a_function))
    | ~ function(a_function)
    | member(ordered_pair(a,sP0_iProver_def),a_function) ),
    inference(superposition,[status(thm)],[c_8646,c_222]) ).

cnf(c_21218,plain,
    ( ~ member(a,a_domain)
    | ~ function(a_function)
    | member(ordered_pair(a,sP0_iProver_def),a_function) ),
    inference(light_normalisation,[status(thm)],[c_21168,c_13010]) ).

cnf(c_21219,plain,
    member(ordered_pair(a,sP0_iProver_def),a_function),
    inference(forward_subsumption_resolution,[status(thm)],[c_21218,c_10609,c_72]) ).

cnf(c_21772,plain,
    ( ~ relation(a_function)
    | ordered_pair_predicate(ordered_pair(a,sP0_iProver_def)) ),
    inference(superposition,[status(thm)],[c_21219,c_149]) ).

cnf(c_21774,plain,
    ordered_pair_predicate(ordered_pair(a,sP0_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_21772,c_10612]) ).

cnf(c_62828,plain,
    second(ordered_pair(a,sP0_iProver_def)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_10610,c_17628]) ).

cnf(c_64218,plain,
    ( ~ member(ordered_pair(a,sP0_iProver_def),X0)
    | ~ ordered_pair_predicate(ordered_pair(a,sP0_iProver_def))
    | member(sP0_iProver_def,range_of(X0)) ),
    inference(superposition,[status(thm)],[c_62828,c_378]) ).

cnf(c_64247,plain,
    ( ~ member(ordered_pair(a,sP0_iProver_def),X0)
    | member(sP0_iProver_def,range_of(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_64218,c_21774]) ).

cnf(c_121983,plain,
    member(sP0_iProver_def,range_of(a_function)),
    inference(superposition,[status(thm)],[c_21219,c_64247]) ).

cnf(c_122249,plain,
    member(sP0_iProver_def,a_range),
    inference(superposition,[status(thm)],[c_121983,c_13397]) ).

cnf(c_122250,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_122249,c_8647]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET038-3 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.30  % Computer : n001.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Sun Jun 23 11:46:24 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 53.30/8.17  % SZS status Started for theBenchmark.p
% 53.30/8.17  % SZS status Unsatisfiable for theBenchmark.p
% 53.30/8.17  
% 53.30/8.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 53.30/8.17  
% 53.30/8.17  ------  iProver source info
% 53.30/8.17  
% 53.30/8.17  git: date: 2024-06-12 09:56:46 +0000
% 53.30/8.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 53.30/8.17  git: non_committed_changes: false
% 53.30/8.17  
% 53.30/8.17  ------ Parsing...successful
% 53.30/8.17  
% 53.30/8.17  
% 53.30/8.17  
% 53.30/8.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 53.30/8.17  
% 53.30/8.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 53.30/8.17  
% 53.30/8.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 53.30/8.17  ------ Proving...
% 53.30/8.17  ------ Problem Properties 
% 53.30/8.17  
% 53.30/8.17  
% 53.30/8.17  clauses                                 161
% 53.30/8.17  conjectures                             1
% 53.30/8.17  EPR                                     26
% 53.30/8.17  Horn                                    142
% 53.30/8.17  unary                                   20
% 53.30/8.17  binary                                  95
% 53.30/8.17  lits                                    379
% 53.30/8.17  lits eq                                 44
% 53.30/8.17  fd_pure                                 0
% 53.30/8.17  fd_pseudo                               0
% 53.30/8.17  fd_cond                                 4
% 53.30/8.17  fd_pseudo_cond                          11
% 53.30/8.17  AC symbols                              0
% 53.30/8.17  
% 53.30/8.17  ------ Schedule dynamic 5 is on 
% 53.30/8.17  
% 53.30/8.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 53.30/8.17  
% 53.30/8.17  
% 53.30/8.17  ------ 
% 53.30/8.17  Current options:
% 53.30/8.17  ------ 
% 53.30/8.17  
% 53.30/8.17  
% 53.30/8.17  
% 53.30/8.17  
% 53.30/8.17  ------ Proving...
% 53.30/8.17  
% 53.30/8.17  
% 53.30/8.17  % SZS status Unsatisfiable for theBenchmark.p
% 53.30/8.17  
% 53.30/8.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 53.30/8.17  
% 53.30/8.17  
%------------------------------------------------------------------------------