TSTP Solution File: SWB002+4 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB002+4 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n022.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 20:11:32 EDT 2023
% Result : Theorem 9.14s 2.02s
% Output : Proof 12.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB002+4 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 07:24:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.25/1.21 Prover 4: Preprocessing ...
% 3.25/1.21 Prover 1: Preprocessing ...
% 3.65/1.24 Prover 2: Preprocessing ...
% 3.65/1.24 Prover 6: Preprocessing ...
% 3.65/1.25 Prover 0: Preprocessing ...
% 3.65/1.25 Prover 3: Preprocessing ...
% 3.65/1.25 Prover 5: Preprocessing ...
% 4.87/1.50 Prover 2: Proving ...
% 4.87/1.52 Prover 5: Proving ...
% 6.87/1.68 Prover 3: Constructing countermodel ...
% 6.87/1.73 Prover 6: Proving ...
% 7.45/1.76 Prover 0: Proving ...
% 7.78/1.81 Prover 1: Constructing countermodel ...
% 8.42/1.88 Prover 4: Constructing countermodel ...
% 9.14/2.02 Prover 3: proved (1389ms)
% 9.14/2.02
% 9.14/2.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.14/2.02
% 9.14/2.03 Prover 0: stopped
% 9.14/2.03 Prover 2: stopped
% 9.14/2.03 Prover 6: stopped
% 9.72/2.05 Prover 5: stopped
% 9.72/2.05 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.72/2.05 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.72/2.05 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 9.72/2.05 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.72/2.05 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 9.72/2.15 Prover 11: Preprocessing ...
% 9.72/2.15 Prover 8: Preprocessing ...
% 9.72/2.15 Prover 10: Preprocessing ...
% 9.72/2.17 Prover 7: Preprocessing ...
% 9.72/2.18 Prover 13: Preprocessing ...
% 11.17/2.25 Prover 10: Warning: ignoring some quantifiers
% 11.17/2.26 Prover 10: Constructing countermodel ...
% 11.17/2.26 Prover 7: Warning: ignoring some quantifiers
% 11.30/2.27 Prover 7: Constructing countermodel ...
% 11.30/2.30 Prover 1: Found proof (size 11)
% 11.30/2.30 Prover 1: proved (1674ms)
% 11.30/2.30 Prover 8: Warning: ignoring some quantifiers
% 11.30/2.30 Prover 13: Warning: ignoring some quantifiers
% 11.30/2.31 Prover 8: Constructing countermodel ...
% 11.30/2.31 Prover 13: Constructing countermodel ...
% 11.63/2.32 Prover 4: stopped
% 11.63/2.32 Prover 7: stopped
% 11.63/2.32 Prover 10: stopped
% 11.63/2.32 Prover 8: stopped
% 11.63/2.33 Prover 13: stopped
% 11.82/2.37 Prover 11: Constructing countermodel ...
% 11.82/2.39 Prover 11: stopped
% 11.82/2.39
% 11.82/2.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.82/2.39
% 11.82/2.39 % SZS output start Proof for theBenchmark
% 11.82/2.39 Assumptions after simplification:
% 11.82/2.39 ---------------------------------
% 11.82/2.39
% 11.82/2.39 (testcase_conclusion_fullish_002_Existential_Blank_Nodes)
% 11.82/2.42 $i(uri_ex_q) & $i(uri_ex_p) & ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_ex_q,
% 11.82/2.42 v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 11.82/2.42 iext(uri_ex_p, v0, v1) = v2))
% 11.82/2.42
% 11.82/2.42 (testcase_premise_fullish_002_Existential_Blank_Nodes)
% 11.82/2.42 $i(uri_ex_s) & $i(uri_ex_q) & $i(uri_ex_p) & ? [v0: $i] : (iext(uri_ex_q, v0,
% 11.82/2.42 uri_ex_s) = 0 & iext(uri_ex_p, uri_ex_s, v0) = 0 & $i(v0))
% 11.82/2.42
% 11.82/2.42 (function-axioms)
% 11.82/2.43 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 11.82/2.43 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4,
% 11.82/2.43 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 11.82/2.43 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~
% 11.82/2.43 (icext(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.82/2.43 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2)
% 11.82/2.43 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.82/2.43 $i] : (v1 = v0 | ~ (lv(v2) = v1) | ~ (lv(v2) = v0)) & ! [v0:
% 11.82/2.43 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.82/2.43 ~ (ir(v2) = v1) | ~ (ir(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.82/2.43 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2)
% 11.82/2.43 = v0))
% 11.82/2.43
% 11.82/2.43 Further assumptions not needed in the proof:
% 11.82/2.43 --------------------------------------------
% 11.82/2.43 rdf_collection_first_type, rdf_collection_nil_type, rdf_collection_rest_type,
% 11.82/2.43 rdf_container_n_type_001, rdf_container_n_type_002, rdf_container_n_type_003,
% 11.82/2.43 rdf_reification_object_type, rdf_reification_predicate_type,
% 11.82/2.43 rdf_reification_subject_type, rdf_type_ip, rdf_type_type, rdf_value_type,
% 11.82/2.43 rdfs_annotation_comment_domain, rdfs_annotation_comment_range,
% 11.82/2.43 rdfs_annotation_isdefinedby_domain, rdfs_annotation_isdefinedby_range,
% 11.82/2.43 rdfs_annotation_isdefinedby_sub, rdfs_annotation_label_domain,
% 11.82/2.43 rdfs_annotation_label_range, rdfs_annotation_seealso_domain,
% 11.82/2.43 rdfs_annotation_seealso_range, rdfs_cext_def, rdfs_class_instsub_resource,
% 11.82/2.43 rdfs_collection_first_domain, rdfs_collection_first_range,
% 11.82/2.43 rdfs_collection_rest_domain, rdfs_collection_rest_range, rdfs_container_alt_sub,
% 11.82/2.43 rdfs_container_bag_sub,
% 11.82/2.43 rdfs_container_containermembershipproperty_instsub_member,
% 11.82/2.43 rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain,
% 11.82/2.43 rdfs_container_member_range, rdfs_container_n_domain_001,
% 11.82/2.43 rdfs_container_n_domain_002, rdfs_container_n_domain_003,
% 11.82/2.43 rdfs_container_n_range_001, rdfs_container_n_range_002,
% 11.82/2.43 rdfs_container_n_range_003, rdfs_container_n_type_001,
% 11.82/2.43 rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub,
% 11.82/2.43 rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type,
% 11.82/2.43 rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain,
% 11.82/2.43 rdfs_domain_main, rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def,
% 11.82/2.43 rdfs_property_type, rdfs_range_domain, rdfs_range_main, rdfs_range_range,
% 11.82/2.43 rdfs_reification_object_domain, rdfs_reification_object_range,
% 11.82/2.43 rdfs_reification_predicate_domain, rdfs_reification_predicate_range,
% 11.82/2.43 rdfs_reification_subject_domain, rdfs_reification_subject_range,
% 11.82/2.43 rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range,
% 11.82/2.43 rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain,
% 11.82/2.43 rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex,
% 11.82/2.43 rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain,
% 11.82/2.43 rdfs_value_range, simple_iext_property, simple_ir, simple_lv
% 11.82/2.43
% 11.82/2.43 Those formulas are unsatisfiable:
% 11.82/2.43 ---------------------------------
% 11.82/2.43
% 11.82/2.43 Begin of proof
% 11.82/2.43 |
% 11.82/2.43 | ALPHA: (testcase_premise_fullish_002_Existential_Blank_Nodes) implies:
% 12.23/2.43 | (1) $i(uri_ex_s)
% 12.23/2.43 | (2) ? [v0: $i] : (iext(uri_ex_q, v0, uri_ex_s) = 0 & iext(uri_ex_p,
% 12.23/2.43 | uri_ex_s, v0) = 0 & $i(v0))
% 12.23/2.43 |
% 12.23/2.43 | ALPHA: (testcase_conclusion_fullish_002_Existential_Blank_Nodes) implies:
% 12.23/2.43 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_ex_q, v1, v0) = 0) | ~
% 12.23/2.43 | $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & iext(uri_ex_p, v0,
% 12.23/2.43 | v1) = v2))
% 12.23/2.43 |
% 12.23/2.43 | ALPHA: (function-axioms) implies:
% 12.23/2.43 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 12.23/2.43 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~
% 12.23/2.43 | (iext(v4, v3, v2) = v0))
% 12.23/2.43 |
% 12.23/2.43 | DELTA: instantiating (2) with fresh symbol all_24_0 gives:
% 12.23/2.44 | (5) iext(uri_ex_q, all_24_0, uri_ex_s) = 0 & iext(uri_ex_p, uri_ex_s,
% 12.23/2.44 | all_24_0) = 0 & $i(all_24_0)
% 12.23/2.44 |
% 12.23/2.44 | ALPHA: (5) implies:
% 12.23/2.44 | (6) $i(all_24_0)
% 12.23/2.44 | (7) iext(uri_ex_p, uri_ex_s, all_24_0) = 0
% 12.23/2.44 | (8) iext(uri_ex_q, all_24_0, uri_ex_s) = 0
% 12.23/2.44 |
% 12.23/2.44 | GROUND_INST: instantiating (3) with uri_ex_s, all_24_0, simplifying with (1),
% 12.23/2.44 | (6), (8) gives:
% 12.23/2.44 | (9) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_ex_p, uri_ex_s, all_24_0) = v0)
% 12.23/2.44 |
% 12.23/2.44 | DELTA: instantiating (9) with fresh symbol all_39_0 gives:
% 12.23/2.44 | (10) ~ (all_39_0 = 0) & iext(uri_ex_p, uri_ex_s, all_24_0) = all_39_0
% 12.23/2.44 |
% 12.23/2.44 | ALPHA: (10) implies:
% 12.23/2.44 | (11) ~ (all_39_0 = 0)
% 12.23/2.44 | (12) iext(uri_ex_p, uri_ex_s, all_24_0) = all_39_0
% 12.23/2.44 |
% 12.23/2.44 | GROUND_INST: instantiating (4) with 0, all_39_0, all_24_0, uri_ex_s, uri_ex_p,
% 12.23/2.44 | simplifying with (7), (12) gives:
% 12.23/2.44 | (13) all_39_0 = 0
% 12.23/2.44 |
% 12.23/2.44 | REDUCE: (11), (13) imply:
% 12.23/2.44 | (14) $false
% 12.23/2.44 |
% 12.23/2.44 | CLOSE: (14) is inconsistent.
% 12.23/2.44 |
% 12.23/2.44 End of proof
% 12.23/2.44 % SZS output end Proof for theBenchmark
% 12.23/2.44
% 12.23/2.44 1835ms
%------------------------------------------------------------------------------