TSTP Solution File: SWB031+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB031+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 : n029.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 0.18s 0.57s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 22
% Syntax : Number of formulae : 43 ( 15 unt; 16 typ; 0 def)
% Number of atoms : 99 ( 8 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 118 ( 46 ~; 46 |; 20 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 42 ( 5 sgn; 25 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ir: $i > $o ).
tff(decl_23,type,
uri_owl_Thing: $i ).
tff(decl_24,type,
icext: ( $i * $i ) > $o ).
tff(decl_25,type,
uri_owl_Nothing: $i ).
tff(decl_26,type,
uri_rdf_first: $i ).
tff(decl_27,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
uri_rdf_rest: $i ).
tff(decl_29,type,
uri_rdf_nil: $i ).
tff(decl_30,type,
uri_owl_oneOf: $i ).
tff(decl_31,type,
ic: $i > $o ).
tff(decl_32,type,
uri_owl_equivalentClass: $i ).
tff(decl_33,type,
uri_ex_w: $i ).
tff(decl_34,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk3_0: $i ).
tff(decl_37,type,
esk4_0: $i ).
fof(owl_class_thing_ext,axiom,
! [X1] :
( icext(uri_owl_Thing,X1)
<=> ir(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
fof(simple_ir,axiom,
! [X1] : ir(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
fof(owl_enum_class_001,axiom,
! [X2,X3,X4] :
( ( iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X2,X3)
<=> ( ic(X2)
& ! [X1] :
( icext(X2,X1)
<=> X1 = X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(testcase_premise_fullish_031_Large_Universe,axiom,
? [X7,X8] :
( iext(uri_owl_equivalentClass,uri_owl_Thing,X7)
& iext(uri_owl_oneOf,X7,X8)
& iext(uri_rdf_first,X8,uri_ex_w)
& iext(uri_rdf_rest,X8,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
fof(owl_eqdis_equivalentclass,axiom,
! [X5,X6] :
( iext(uri_owl_equivalentClass,X5,X6)
<=> ( ic(X5)
& ic(X6)
& ! [X1] :
( icext(X5,X1)
<=> icext(X6,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(owl_class_nothing_ext,axiom,
! [X1] : ~ icext(uri_owl_Nothing,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
fof(c_0_6,plain,
! [X10] :
( ( ~ icext(uri_owl_Thing,X10)
| ir(X10) )
& ( ~ ir(X10)
| icext(uri_owl_Thing,X10) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])]) ).
fof(c_0_7,plain,
! [X9] : ir(X9),
inference(variable_rename,[status(thm)],[simple_ir]) ).
fof(c_0_8,plain,
! [X12,X13,X14,X15,X16] :
( ( ic(X12)
| ~ iext(uri_owl_oneOf,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( ~ icext(X12,X15)
| X15 = X14
| ~ iext(uri_owl_oneOf,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( X16 != X14
| icext(X12,X16)
| ~ iext(uri_owl_oneOf,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( ~ icext(X12,esk1_3(X12,X13,X14))
| esk1_3(X12,X13,X14) != X14
| ~ ic(X12)
| iext(uri_owl_oneOf,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
& ( icext(X12,esk1_3(X12,X13,X14))
| esk1_3(X12,X13,X14) = X14
| ~ ic(X12)
| iext(uri_owl_oneOf,X12,X13)
| ~ iext(uri_rdf_first,X13,X14)
| ~ iext(uri_rdf_rest,X13,uri_rdf_nil) ) ),
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_enum_class_001])])])])])]) ).
fof(c_0_9,plain,
( iext(uri_owl_equivalentClass,uri_owl_Thing,esk3_0)
& iext(uri_owl_oneOf,esk3_0,esk4_0)
& iext(uri_rdf_first,esk4_0,uri_ex_w)
& iext(uri_rdf_rest,esk4_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_031_Large_Universe])]) ).
fof(c_0_10,plain,
! [X18,X19,X20,X21,X22,X23] :
( ( ic(X18)
| ~ iext(uri_owl_equivalentClass,X18,X19) )
& ( ic(X19)
| ~ iext(uri_owl_equivalentClass,X18,X19) )
& ( ~ icext(X18,X20)
| icext(X19,X20)
| ~ iext(uri_owl_equivalentClass,X18,X19) )
& ( ~ icext(X19,X21)
| icext(X18,X21)
| ~ iext(uri_owl_equivalentClass,X18,X19) )
& ( ~ icext(X22,esk2_2(X22,X23))
| ~ icext(X23,esk2_2(X22,X23))
| ~ ic(X22)
| ~ ic(X23)
| iext(uri_owl_equivalentClass,X22,X23) )
& ( icext(X22,esk2_2(X22,X23))
| icext(X23,esk2_2(X22,X23))
| ~ ic(X22)
| ~ ic(X23)
| iext(uri_owl_equivalentClass,X22,X23) ) ),
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_equivalentclass])])])])])]) ).
cnf(c_0_11,plain,
( icext(uri_owl_Thing,X1)
| ~ ir(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
ir(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,plain,
! [X1] : ~ icext(uri_owl_Nothing,X1),
inference(fof_simplification,[status(thm)],[owl_class_nothing_ext]) ).
cnf(c_0_14,plain,
( X2 = X3
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
iext(uri_rdf_first,esk4_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
icext(uri_owl_Thing,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
fof(c_0_20,plain,
! [X11] : ~ icext(uri_owl_Nothing,X11),
inference(variable_rename,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( X1 = uri_ex_w
| ~ iext(uri_owl_oneOf,X2,esk4_0)
| ~ icext(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_22,plain,
icext(esk3_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_23,plain,
iext(uri_owl_oneOf,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,plain,
~ icext(uri_owl_Nothing,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
X1 = uri_ex_w,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_26,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 06:33:55 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 0.18/0.57 % Version : CSE_E---1.5
% 0.18/0.57 % Problem : theBenchmark.p
% 0.18/0.57 % Proof found
% 0.18/0.57 % SZS status Theorem for theBenchmark.p
% 0.18/0.57 % SZS output start Proof
% See solution above
% 0.18/0.57 % Total time : 0.009000 s
% 0.18/0.57 % SZS output end Proof
% 0.18/0.57 % Total time : 0.011000 s
%------------------------------------------------------------------------------