%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB075+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.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 : Tue May 5 05:17:31 PM UTC 2026
% Result : Theorem 31.28s 23.37s
% Output : CNFRefutation 31.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 16 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 103 ( 41 ~; 42 |; 12 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 5 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_parts_iodp_cond_set,axiom,
! [X4] :
( iodp(X4)
=> ip(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_cond_set) ).
fof(owl_parts_iodp_def,axiom,
! [X4] :
( iodp(X4)
<=> iext(uri_rdf_type,X4,uri_owl_DatatypeProperty) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_def) ).
fof(owl_rdfsext_subpropertyof,axiom,
! [X33,X34] :
( iext(uri_rdfs_subPropertyOf,X33,X34)
<=> ( ip(X33)
& ip(X34)
& ! [X4,X7] :
( iext(X33,X4,X7)
=> iext(X34,X4,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subpropertyof) ).
fof(owl_prop_topdataproperty_type,axiom,
iodp(uri_owl_topDataProperty),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_topdataproperty_type) ).
fof(premise_rdfbased_sem_prop_topdataproperty_term,axiom,
iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_prop_topdataproperty_term) ).
fof(simple_iext_property,axiom,
! [X1,X2,X3] :
( iext(X2,X1,X3)
=> ip(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).
fof(owl_prop_topdataproperty_ext,axiom,
! [X4,X7] :
( iext(uri_owl_topDataProperty,X4,X7)
<=> ( ir(X4)
& lv(X7) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_topdataproperty_ext) ).
fof(simple_ir,axiom,
! [X4] : ir(X4),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_ir) ).
fof(conclusion_rdfbased_sem_prop_topdataproperty_term,conjecture,
iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_prop_topdataproperty_term) ).
fof(owl_parts_iodp_cond_inst,axiom,
! [X4] :
( iodp(X4)
=> ! [X7,X11] :
( iext(X4,X7,X11)
=> ( ir(X7)
& lv(X11) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_iodp_cond_inst) ).
fof(c_0_10,plain,
! [X1068] :
( ~ iodp(X1068)
| ip(X1068) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_cond_set])]) ).
fof(c_0_11,plain,
! [X1069] :
( ( ~ iodp(X1069)
| iext(uri_rdf_type,X1069,uri_owl_DatatypeProperty) )
& ( ~ iext(uri_rdf_type,X1069,uri_owl_DatatypeProperty)
| iodp(X1069) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_def])]) ).
fof(c_0_12,plain,
! [X1746,X1747,X1748,X1749,X1750,X1751] :
( ( ip(X1746)
| ~ iext(uri_rdfs_subPropertyOf,X1746,X1747) )
& ( ip(X1747)
| ~ iext(uri_rdfs_subPropertyOf,X1746,X1747) )
& ( ~ iext(X1746,X1748,X1749)
| iext(X1747,X1748,X1749)
| ~ iext(uri_rdfs_subPropertyOf,X1746,X1747) )
& ( iext(X1750,esk110_2(X1750,X1751),esk111_2(X1750,X1751))
| ~ ip(X1750)
| ~ ip(X1751)
| iext(uri_rdfs_subPropertyOf,X1750,X1751) )
& ( ~ iext(X1751,esk110_2(X1750,X1751),esk111_2(X1750,X1751))
| ~ ip(X1750)
| ~ ip(X1751)
| iext(uri_rdfs_subPropertyOf,X1750,X1751) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subpropertyof])])])])])]) ).
cnf(c_0_13,plain,
( ip(X1)
| ~ iodp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
iodp(uri_owl_topDataProperty),
inference(split_conjunct,[status(thm)],[owl_prop_topdataproperty_type]) ).
cnf(c_0_15,plain,
( iodp(X1)
| ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_prop_topdataproperty_term]) ).
fof(c_0_17,plain,
! [X1015,X1016,X1017] :
( ~ iext(X1016,X1015,X1017)
| ip(X1016) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])]) ).
fof(c_0_18,plain,
! [X1213,X1214] :
( ( ir(X1213)
| ~ iext(uri_owl_topDataProperty,X1213,X1214) )
& ( lv(X1214)
| ~ iext(uri_owl_topDataProperty,X1213,X1214) )
& ( ~ ir(X1213)
| ~ lv(X1214)
| iext(uri_owl_topDataProperty,X1213,X1214) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_topdataproperty_ext])])]) ).
fof(c_0_19,plain,
! [X1018] : ir(X1018),
inference(variable_rename,[status(thm)],[simple_ir]) ).
cnf(c_0_20,plain,
( iext(X1,esk110_2(X1,X2),esk111_2(X1,X2))
| iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
ip(uri_owl_topDataProperty),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,plain,
iodp(uri_ex_p),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_23,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_prop_topdataproperty_term])]) ).
cnf(c_0_24,plain,
( iext(uri_rdfs_subPropertyOf,X2,X1)
| ~ iext(X1,esk110_2(X2,X1),esk111_2(X2,X1))
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,plain,
( ip(X1)
| ~ iext(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( iext(uri_owl_topDataProperty,X1,X2)
| ~ ir(X1)
| ~ lv(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
ir(X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_28,plain,
! [X1065,X1066,X1067] :
( ( ir(X1066)
| ~ iext(X1065,X1066,X1067)
| ~ iodp(X1065) )
& ( lv(X1067)
| ~ iext(X1065,X1066,X1067)
| ~ iodp(X1065) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_iodp_cond_inst])])])]) ).
cnf(c_0_29,plain,
( iext(X1,esk110_2(X1,uri_owl_topDataProperty),esk111_2(X1,uri_owl_topDataProperty))
| iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
| ~ ip(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_31,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ iext(X2,esk110_2(X1,X2),esk111_2(X1,X2)) ),
inference(csr,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,plain,
( iext(uri_owl_topDataProperty,X1,X2)
| ~ lv(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_34,plain,
( lv(X1)
| ~ iext(X2,X3,X1)
| ~ iodp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
iext(uri_ex_p,esk110_2(uri_ex_p,uri_owl_topDataProperty),esk111_2(uri_ex_p,uri_owl_topDataProperty)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_36,plain,
( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
| ~ lv(esk111_2(X1,uri_owl_topDataProperty))
| ~ ip(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
lv(esk111_2(uri_ex_p,uri_owl_topDataProperty)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_22])]) ).
cnf(c_0_38,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_30])]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.22 % Problem : SWB075+1 : TPTP v9.2.1. Released v5.2.0.
% 0.02/0.22 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.46 % Computer : n025.cluster.edu
% 0.13/0.46 % Model : x86_64 x86_64
% 0.13/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.46 % Memory : 8042.1875MB
% 0.13/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.46 % CPULimit : 300
% 0.13/0.46 % WCLimit : 300
% 0.13/0.46 % DateTime : Tue May 5 04:13:13 EDT 2026
% 0.13/0.46 % CPUTime :
% 0.13/0.47 % start to proof: theBenchmark
% 31.28/23.37 % Version : CSE_E---1.7
% 31.28/23.37 % Problem : theBenchmark.p
% 31.28/23.37 % SZS status Theorem for theBenchmark.p
% 31.28/23.37 % SZS output start CNFRefutation
% See solution above
% 31.38/23.46 % Total time : 19.715s
%------------------------------------------------------------------------------