TSTP Solution File: SWB030+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %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 20:02:09 EDT 2023
% Result : Unsatisfiable 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 44 ( 6 unt; 14 typ; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 101 ( 39 ~; 37 |; 18 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 51 ( 2 sgn; 21 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
uri_rdf_type: $i ).
tff(decl_23,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
icext: ( $i * $i ) > $o ).
tff(decl_25,type,
uri_owl_hasSelf: $i ).
tff(decl_26,type,
uri_owl_onProperty: $i ).
tff(decl_27,type,
uri_owl_complementOf: $i ).
tff(decl_28,type,
ic: $i > $o ).
tff(decl_29,type,
uri_ex_c: $i ).
tff(decl_30,type,
uri_owl_Class: $i ).
tff(decl_31,type,
uri_owl_Restriction: $i ).
tff(decl_32,type,
dat_str_true: $i ).
tff(decl_33,type,
uri_xsd_boolean: $i ).
tff(decl_34,type,
literal_typed: ( $i * $i ) > $i ).
tff(decl_35,type,
esk1_0: $i ).
fof(owl_bool_complementof_class,axiom,
! [X3,X2] :
( iext(uri_owl_complementOf,X3,X2)
=> ( ic(X3)
& ic(X2)
& ! [X1] :
( icext(X3,X1)
<=> ~ icext(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(testcase_premise_fullish_030_Bad_Class,axiom,
? [X6] :
( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_owl_complementOf,uri_ex_c,X6)
& iext(uri_rdf_type,X6,uri_owl_Restriction)
& iext(uri_owl_onProperty,X6,uri_rdf_type)
& iext(uri_owl_hasSelf,X6,literal_typed(dat_str_true,uri_xsd_boolean)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).
fof(owl_restrict_hasself,axiom,
! [X3,X4,X5] :
( ( iext(uri_owl_hasSelf,X3,X5)
& iext(uri_owl_onProperty,X3,X4) )
=> ! [X1] :
( icext(X3,X1)
<=> iext(X4,X1,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasself) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(c_0_4,plain,
! [X3,X2] :
( iext(uri_owl_complementOf,X3,X2)
=> ( ic(X3)
& ic(X2)
& ! [X1] :
( icext(X3,X1)
<=> ~ icext(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).
fof(c_0_5,plain,
! [X13,X14,X15] :
( ( ic(X13)
| ~ iext(uri_owl_complementOf,X13,X14) )
& ( ic(X14)
| ~ iext(uri_owl_complementOf,X13,X14) )
& ( ~ icext(X13,X15)
| ~ icext(X14,X15)
| ~ iext(uri_owl_complementOf,X13,X14) )
& ( icext(X14,X15)
| icext(X13,X15)
| ~ iext(uri_owl_complementOf,X13,X14) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_6,plain,
( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_owl_complementOf,uri_ex_c,esk1_0)
& iext(uri_rdf_type,esk1_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk1_0,uri_rdf_type)
& iext(uri_owl_hasSelf,esk1_0,literal_typed(dat_str_true,uri_xsd_boolean)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_030_Bad_Class])]) ).
fof(c_0_7,plain,
! [X9,X10,X11,X12] :
( ( ~ icext(X9,X12)
| iext(X10,X12,X12)
| ~ iext(uri_owl_hasSelf,X9,X11)
| ~ iext(uri_owl_onProperty,X9,X10) )
& ( ~ iext(X10,X12,X12)
| icext(X9,X12)
| ~ iext(uri_owl_hasSelf,X9,X11)
| ~ iext(uri_owl_onProperty,X9,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_hasself])])])]) ).
fof(c_0_8,plain,
! [X7,X8] :
( ( ~ iext(uri_rdf_type,X7,X8)
| icext(X8,X7) )
& ( ~ icext(X8,X7)
| iext(uri_rdf_type,X7,X8) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_9,plain,
( icext(X1,X2)
| icext(X3,X2)
| ~ iext(uri_owl_complementOf,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
iext(uri_owl_complementOf,uri_ex_c,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( icext(X3,X2)
| ~ iext(X1,X2,X2)
| ~ iext(uri_owl_hasSelf,X3,X4)
| ~ iext(uri_owl_onProperty,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
iext(uri_owl_hasSelf,esk1_0,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( icext(esk1_0,X1)
| icext(uri_ex_c,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_complementOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( icext(esk1_0,X1)
| ~ iext(uri_owl_onProperty,esk1_0,X2)
| ~ iext(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
iext(uri_owl_onProperty,esk1_0,uri_rdf_type),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( icext(esk1_0,X1)
| iext(uri_rdf_type,X1,uri_ex_c) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( iext(X3,X2,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_hasSelf,X1,X4)
| ~ iext(uri_owl_onProperty,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
( ~ icext(esk1_0,X1)
| ~ icext(uri_ex_c,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_21,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( icext(esk1_0,X1)
| ~ iext(uri_rdf_type,X1,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( iext(uri_rdf_type,X1,uri_ex_c)
| iext(uri_rdf_type,X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_24,plain,
( iext(X1,X2,X2)
| ~ icext(esk1_0,X2)
| ~ iext(uri_owl_onProperty,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_25,plain,
( ~ icext(esk1_0,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_c) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
icext(esk1_0,uri_ex_c),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_21]) ).
cnf(c_0_27,plain,
( iext(uri_rdf_type,X1,X1)
| ~ icext(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_17]) ).
cnf(c_0_28,plain,
~ iext(uri_rdf_type,uri_ex_c,uri_ex_c),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 07:08:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.57 % Version : CSE_E---1.5
% 0.20/0.57 % Problem : theBenchmark.p
% 0.20/0.57 % Proof found
% 0.20/0.57 % SZS status Theorem for theBenchmark.p
% 0.20/0.57 % SZS output start Proof
% See solution above
% 0.20/0.58 % Total time : 0.006000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.009000 s
%------------------------------------------------------------------------------