TSTP Solution File: SWB003+3 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SWB003+3 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n031.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 : Thu Aug 31 20:11:33 EDT 2023

% Result   : Theorem 14.67s 2.74s
% Output   : Proof 21.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14  % Problem  : SWB003+3 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.15  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Aug 27 06:54:39 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.21/0.63  ________       _____
% 0.21/0.63  ___  __ \_________(_)________________________________
% 0.21/0.63  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.21/0.63  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.21/0.63  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63  
% 0.21/0.63  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63  (2023-06-19)
% 0.21/0.63  
% 0.21/0.63  (c) Philipp Rümmer, 2009-2023
% 0.21/0.63  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63                Amanda Stjerna.
% 0.21/0.63  Free software under BSD-3-Clause.
% 0.21/0.63  
% 0.21/0.63  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63  
% 0.21/0.63  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.64  Running up to 7 provers in parallel.
% 0.21/0.66  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.67  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.05/1.32  Prover 1: Preprocessing ...
% 4.05/1.32  Prover 4: Preprocessing ...
% 4.05/1.35  Prover 5: Preprocessing ...
% 4.05/1.35  Prover 0: Preprocessing ...
% 4.05/1.35  Prover 2: Preprocessing ...
% 4.05/1.35  Prover 3: Preprocessing ...
% 4.05/1.35  Prover 6: Preprocessing ...
% 8.85/2.04  Prover 5: Proving ...
% 8.85/2.05  Prover 2: Proving ...
% 11.95/2.38  Prover 6: Proving ...
% 11.95/2.39  Prover 3: Constructing countermodel ...
% 12.24/2.40  Prover 1: Constructing countermodel ...
% 14.67/2.73  Prover 3: proved (2071ms)
% 14.67/2.73  
% 14.67/2.74  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.67/2.74  
% 14.67/2.74  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 14.67/2.74  Prover 6: stopped
% 14.67/2.74  Prover 5: stopped
% 14.67/2.75  Prover 2: stopped
% 14.67/2.76  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 14.67/2.76  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 15.08/2.77  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.71/2.91  Prover 10: Preprocessing ...
% 16.38/2.94  Prover 11: Preprocessing ...
% 16.38/2.95  Prover 8: Preprocessing ...
% 16.38/2.96  Prover 7: Preprocessing ...
% 16.67/2.99  Prover 1: Found proof (size 6)
% 16.67/2.99  Prover 1: proved (2343ms)
% 16.67/3.00  Prover 10: stopped
% 16.67/3.03  Prover 7: stopped
% 17.88/3.20  Prover 11: stopped
% 18.51/3.23  Prover 8: Warning: ignoring some quantifiers
% 18.51/3.24  Prover 8: Constructing countermodel ...
% 18.51/3.27  Prover 8: stopped
% 19.64/3.47  Prover 4: Constructing countermodel ...
% 19.64/3.50  Prover 4: stopped
% 20.95/3.76  Prover 0: Proving ...
% 20.95/3.77  Prover 0: stopped
% 20.95/3.77  
% 20.95/3.77  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.95/3.77  
% 20.95/3.78  % SZS output start Proof for theBenchmark
% 20.95/3.79  Assumptions after simplification:
% 20.95/3.79  ---------------------------------
% 20.95/3.79  
% 20.95/3.79    (testcase_conclusion_fullish_003_Blank_Nodes_for_Literals)
% 21.28/3.84    $i(uri_ex_s) & $i(uri_ex_p) &  ! [v0: $i] : ( ~ (iext(uri_ex_p, uri_ex_s, v0)
% 21.28/3.84        = 0) |  ~ $i(v0))
% 21.28/3.84  
% 21.28/3.84    (testcase_premise_fullish_003_Blank_Nodes_for_Literals)
% 21.28/3.84    $i(dat_str_foo) & $i(uri_ex_s) & $i(uri_ex_p) &  ? [v0: $i] :
% 21.28/3.84    (literal_plain(dat_str_foo) = v0 & iext(uri_ex_p, uri_ex_s, v0) = 0 & $i(v0))
% 21.28/3.84  
% 21.28/3.84  Further assumptions not needed in the proof:
% 21.28/3.84  --------------------------------------------
% 21.28/3.84  owl_bool_complementof_class, owl_bool_intersectionof_class_000,
% 21.28/3.84  owl_bool_intersectionof_class_001, owl_bool_intersectionof_class_002,
% 21.28/3.84  owl_bool_intersectionof_class_003, owl_bool_unionof_class_000,
% 21.28/3.84  owl_bool_unionof_class_001, owl_bool_unionof_class_002,
% 21.28/3.84  owl_bool_unionof_class_003, owl_class_nothing_ext, owl_class_nothing_type,
% 21.28/3.84  owl_class_thing_ext, owl_class_thing_type, owl_parts_ic_cond_inst,
% 21.28/3.84  owl_parts_ic_cond_set, owl_parts_ic_def, owl_parts_idc_cond_inst,
% 21.28/3.84  owl_parts_idc_cond_set, owl_parts_idc_def, owl_parts_ioap_cond_inst,
% 21.28/3.84  owl_parts_ioap_cond_set, owl_parts_ioap_def, owl_parts_iodp_cond_inst,
% 21.28/3.84  owl_parts_iodp_cond_set, owl_parts_iodp_def, owl_parts_ioxp_cond_inst,
% 21.28/3.84  owl_parts_ioxp_cond_set, owl_parts_ioxp_def, owl_parts_ip_cond_inst,
% 21.28/3.84  owl_parts_ip_cond_set, owl_parts_ip_def, owl_parts_ir_cond_set,
% 21.28/3.84  owl_parts_ir_def, owl_parts_ix_cond_set, owl_parts_ix_def,
% 21.28/3.84  owl_parts_lv_cond_set, owl_parts_lv_def, owl_prop_allvaluesfrom_ext,
% 21.28/3.84  owl_prop_allvaluesfrom_type, owl_prop_complementof_ext,
% 21.28/3.84  owl_prop_complementof_type, owl_prop_hasvalue_ext, owl_prop_hasvalue_type,
% 21.28/3.84  owl_prop_intersectionof_ext, owl_prop_intersectionof_type,
% 21.28/3.84  owl_prop_onproperty_ext, owl_prop_onproperty_type, owl_prop_somevaluesfrom_ext,
% 21.28/3.84  owl_prop_somevaluesfrom_type, owl_prop_unionof_ext, owl_prop_unionof_type,
% 21.28/3.84  owl_rdfsext_domain, owl_rdfsext_range, owl_rdfsext_subclassof,
% 21.28/3.84  owl_rdfsext_subpropertyof, owl_restrict_allvaluesfrom, owl_restrict_hasvalue,
% 21.28/3.84  owl_restrict_somevaluesfrom, rdf_collection_first_type, rdf_collection_nil_type,
% 21.28/3.84  rdf_collection_rest_type, rdf_container_n_type_001, rdf_container_n_type_002,
% 21.28/3.84  rdf_container_n_type_003, rdf_reification_object_type,
% 21.28/3.84  rdf_reification_predicate_type, rdf_reification_subject_type, rdf_type_ip,
% 21.28/3.84  rdf_type_type, rdf_value_type, rdfs_annotation_comment_domain,
% 21.28/3.84  rdfs_annotation_comment_range, rdfs_annotation_isdefinedby_domain,
% 21.28/3.84  rdfs_annotation_isdefinedby_range, rdfs_annotation_isdefinedby_sub,
% 21.28/3.85  rdfs_annotation_label_domain, rdfs_annotation_label_range,
% 21.28/3.85  rdfs_annotation_seealso_domain, rdfs_annotation_seealso_range, rdfs_cext_def,
% 21.28/3.85  rdfs_class_instsub_resource, rdfs_collection_first_domain,
% 21.28/3.85  rdfs_collection_first_range, rdfs_collection_rest_domain,
% 21.28/3.85  rdfs_collection_rest_range, rdfs_container_alt_sub, rdfs_container_bag_sub,
% 21.28/3.85  rdfs_container_containermembershipproperty_instsub_member,
% 21.28/3.85  rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain,
% 21.28/3.85  rdfs_container_member_range, rdfs_container_n_domain_001,
% 21.28/3.85  rdfs_container_n_domain_002, rdfs_container_n_domain_003,
% 21.28/3.85  rdfs_container_n_range_001, rdfs_container_n_range_002,
% 21.28/3.85  rdfs_container_n_range_003, rdfs_container_n_type_001,
% 21.28/3.85  rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub,
% 21.28/3.85  rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type,
% 21.28/3.85  rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain,
% 21.28/3.85  rdfs_domain_main, rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def,
% 21.28/3.85  rdfs_property_type, rdfs_range_domain, rdfs_range_main, rdfs_range_range,
% 21.28/3.85  rdfs_reification_object_domain, rdfs_reification_object_range,
% 21.28/3.85  rdfs_reification_predicate_domain, rdfs_reification_predicate_range,
% 21.28/3.85  rdfs_reification_subject_domain, rdfs_reification_subject_range,
% 21.28/3.85  rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range,
% 21.28/3.85  rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain,
% 21.28/3.85  rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex,
% 21.28/3.85  rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain,
% 21.28/3.85  rdfs_value_range, simple_iext_property, simple_ir, simple_lv
% 21.28/3.85  
% 21.28/3.85  Those formulas are unsatisfiable:
% 21.28/3.85  ---------------------------------
% 21.28/3.85  
% 21.28/3.85  Begin of proof
% 21.28/3.85  | 
% 21.28/3.85  | ALPHA: (testcase_premise_fullish_003_Blank_Nodes_for_Literals) implies:
% 21.28/3.85  |   (1)   ? [v0: $i] : (literal_plain(dat_str_foo) = v0 & iext(uri_ex_p,
% 21.28/3.85  |            uri_ex_s, v0) = 0 & $i(v0))
% 21.28/3.85  | 
% 21.28/3.85  | ALPHA: (testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) implies:
% 21.28/3.85  |   (2)   ! [v0: $i] : ( ~ (iext(uri_ex_p, uri_ex_s, v0) = 0) |  ~ $i(v0))
% 21.28/3.85  | 
% 21.28/3.86  | DELTA: instantiating (1) with fresh symbol all_74_0 gives:
% 21.28/3.86  |   (3)  literal_plain(dat_str_foo) = all_74_0 & iext(uri_ex_p, uri_ex_s,
% 21.28/3.86  |          all_74_0) = 0 & $i(all_74_0)
% 21.28/3.86  | 
% 21.28/3.86  | ALPHA: (3) implies:
% 21.28/3.86  |   (4)  $i(all_74_0)
% 21.28/3.86  |   (5)  iext(uri_ex_p, uri_ex_s, all_74_0) = 0
% 21.28/3.86  | 
% 21.28/3.86  | GROUND_INST: instantiating (2) with all_74_0, simplifying with (4), (5) gives:
% 21.28/3.86  |   (6)  $false
% 21.28/3.86  | 
% 21.28/3.86  | CLOSE: (6) is inconsistent.
% 21.28/3.86  | 
% 21.28/3.86  End of proof
% 21.28/3.86  % SZS output end Proof for theBenchmark
% 21.28/3.87  
% 21.28/3.87  3238ms
%------------------------------------------------------------------------------