TSTP Solution File: SWB017+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB017+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 20:01:58 EDT 2023
% Result : Theorem 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 28 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 45 ( 5 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 48 ( 20 ~; 16 |; 10 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 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 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn; 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
uri_owl_differentFrom: $i ).
tff(decl_23,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
uri_owl_propertyDisjointWith: $i ).
tff(decl_25,type,
ip: $i > $o ).
tff(decl_26,type,
uri_ex_w: $i ).
tff(decl_27,type,
uri_ex_u: $i ).
tff(decl_28,type,
uri_ex_notInstanceOf: $i ).
tff(decl_29,type,
uri_rdf_type: $i ).
tff(decl_30,type,
uri_ex_c: $i ).
tff(decl_31,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_32,type,
esk2_2: ( $i * $i ) > $i ).
fof(testcase_conclusion_fullish_017_Built_in_Based_Definitions,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).
fof(owl_eqdis_differentfrom,axiom,
! [X1,X2] :
( iext(uri_owl_differentFrom,X1,X2)
<=> X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
fof(owl_eqdis_propertydisjointwith,axiom,
! [X3,X4] :
( iext(uri_owl_propertyDisjointWith,X3,X4)
<=> ( ip(X3)
& ip(X4)
& ! [X1,X2] :
~ ( iext(X3,X1,X2)
& iext(X4,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
fof(testcase_premise_fullish_017_Built_in_Based_Definitions,axiom,
( iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).
fof(c_0_4,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_017_Built_in_Based_Definitions])]) ).
fof(c_0_5,plain,
! [X5,X6] :
( ( ~ iext(uri_owl_differentFrom,X5,X6)
| X5 != X6 )
& ( X5 = X6
| iext(uri_owl_differentFrom,X5,X6) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_differentfrom])]) ).
fof(c_0_6,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( ip(X7)
| ~ iext(uri_owl_propertyDisjointWith,X7,X8) )
& ( ip(X8)
| ~ iext(uri_owl_propertyDisjointWith,X7,X8) )
& ( ~ iext(X7,X9,X10)
| ~ iext(X8,X9,X10)
| ~ iext(uri_owl_propertyDisjointWith,X7,X8) )
& ( iext(X11,esk1_2(X11,X12),esk2_2(X11,X12))
| ~ ip(X11)
| ~ ip(X12)
| iext(uri_owl_propertyDisjointWith,X11,X12) )
& ( iext(X12,esk1_2(X11,X12),esk2_2(X11,X12))
| ~ ip(X11)
| ~ ip(X12)
| iext(uri_owl_propertyDisjointWith,X11,X12) ) ),
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_eqdis_propertydisjointwith])])])])])]) ).
cnf(c_0_7,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( X1 = X2
| iext(uri_owl_differentFrom,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ iext(X1,X2,X3)
| ~ iext(X4,X2,X3)
| ~ iext(uri_owl_propertyDisjointWith,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).
cnf(c_0_11,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).
cnf(c_0_12,negated_conjecture,
uri_ex_w = uri_ex_u,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
( ~ iext(uri_rdf_type,X1,X2)
| ~ iext(uri_ex_notInstanceOf,X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
iext(uri_rdf_type,uri_ex_u,uri_ex_c),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).
cnf(c_0_16,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWB017+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sun Aug 27 07:22:59 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.47 start to proof: theBenchmark
% 0.15/0.48 % Version : CSE_E---1.5
% 0.15/0.48 % Problem : theBenchmark.p
% 0.15/0.48 % Proof found
% 0.15/0.48 % SZS status Theorem for theBenchmark.p
% 0.15/0.48 % SZS output start Proof
% See solution above
% 0.15/0.49 % Total time : 0.004000 s
% 0.15/0.49 % SZS output end Proof
% 0.15/0.49 % Total time : 0.006000 s
%------------------------------------------------------------------------------