TSTP Solution File: SWB014+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB014+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 : n015.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 20:01:55 EDT 2023
% Result : Theorem 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 46 ( 13 unt; 16 typ; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 71 ( 5 avg)
% Number of connectives : 204 ( 82 ~; 87 |; 31 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 4 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-5 aty)
% Number of variables : 41 ( 0 sgn; 18 !; 5 ?; 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_rdf_first: $i ).
tff(decl_26,type,
uri_rdf_rest: $i ).
tff(decl_27,type,
uri_rdf_nil: $i ).
tff(decl_28,type,
uri_owl_unionOf: $i ).
tff(decl_29,type,
ic: $i > $o ).
tff(decl_30,type,
uri_ex_harry: $i ).
tff(decl_31,type,
uri_ex_Species: $i ).
tff(decl_32,type,
uri_ex_Eagle: $i ).
tff(decl_33,type,
uri_ex_Falcon: $i ).
tff(decl_34,type,
esk1_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk2_0: $i ).
tff(decl_36,type,
esk3_0: $i ).
tff(decl_37,type,
esk4_0: $i ).
fof(owl_bool_unionof_class_002,axiom,
! [X3,X4,X5,X6,X7] :
( ( iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_unionOf,X3,X4)
<=> ( ic(X3)
& ic(X5)
& ic(X7)
& ! [X1] :
( icext(X3,X1)
<=> ( icext(X5,X1)
| icext(X7,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
fof(testcase_premise_fullish_014_Harry_belongs_to_some_Species,axiom,
? [X9,X10,X11] :
( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,X9)
& iext(uri_owl_unionOf,X9,X10)
& iext(uri_rdf_first,X10,uri_ex_Eagle)
& iext(uri_rdf_rest,X10,X11)
& iext(uri_rdf_first,X11,uri_ex_Falcon)
& iext(uri_rdf_rest,X11,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(testcase_conclusion_fullish_014_Harry_belongs_to_some_Species,conjecture,
? [X8] :
( iext(uri_rdf_type,uri_ex_harry,X8)
& iext(uri_rdf_type,X8,uri_ex_Species) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).
fof(c_0_4,plain,
! [X14,X15,X16,X17,X18,X19,X20] :
( ( ic(X14)
| ~ iext(uri_owl_unionOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ic(X16)
| ~ iext(uri_owl_unionOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ic(X18)
| ~ iext(uri_owl_unionOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ~ icext(X14,X19)
| icext(X16,X19)
| icext(X18,X19)
| ~ iext(uri_owl_unionOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ~ icext(X16,X20)
| icext(X14,X20)
| ~ iext(uri_owl_unionOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ~ icext(X18,X20)
| icext(X14,X20)
| ~ iext(uri_owl_unionOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ~ icext(X16,esk1_5(X14,X15,X16,X17,X18))
| ~ icext(X14,esk1_5(X14,X15,X16,X17,X18))
| ~ ic(X14)
| ~ ic(X16)
| ~ ic(X18)
| iext(uri_owl_unionOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( ~ icext(X18,esk1_5(X14,X15,X16,X17,X18))
| ~ icext(X14,esk1_5(X14,X15,X16,X17,X18))
| ~ ic(X14)
| ~ ic(X16)
| ~ ic(X18)
| iext(uri_owl_unionOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,uri_rdf_nil) )
& ( icext(X14,esk1_5(X14,X15,X16,X17,X18))
| icext(X16,esk1_5(X14,X15,X16,X17,X18))
| icext(X18,esk1_5(X14,X15,X16,X17,X18))
| ~ ic(X14)
| ~ ic(X16)
| ~ ic(X18)
| iext(uri_owl_unionOf,X14,X15)
| ~ iext(uri_rdf_first,X15,X16)
| ~ iext(uri_rdf_rest,X15,X17)
| ~ iext(uri_rdf_first,X17,X18)
| ~ iext(uri_rdf_rest,X17,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_bool_unionof_class_002])])])])])]) ).
fof(c_0_5,plain,
( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,esk2_0)
& iext(uri_owl_unionOf,esk2_0,esk3_0)
& iext(uri_rdf_first,esk3_0,uri_ex_Eagle)
& iext(uri_rdf_rest,esk3_0,esk4_0)
& iext(uri_rdf_first,esk4_0,uri_ex_Falcon)
& iext(uri_rdf_rest,esk4_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_014_Harry_belongs_to_some_Species])]) ).
cnf(c_0_6,plain,
( icext(X3,X2)
| icext(X4,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_unionOf,X1,X5)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_rdf_first,X6,X4)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
iext(uri_rdf_first,esk4_0,uri_ex_Falcon),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( icext(uri_ex_Falcon,X1)
| icext(X2,X1)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_rest,X4,esk4_0)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_owl_unionOf,X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_10,plain,
iext(uri_rdf_first,esk3_0,uri_ex_Eagle),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
iext(uri_rdf_rest,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_12,plain,
! [X12,X13] :
( ( ~ iext(uri_rdf_type,X12,X13)
| icext(X13,X12) )
& ( ~ icext(X13,X12)
| iext(uri_rdf_type,X12,X13) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
fof(c_0_13,negated_conjecture,
~ ? [X8] :
( iext(uri_rdf_type,uri_ex_harry,X8)
& iext(uri_rdf_type,X8,uri_ex_Species) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_014_Harry_belongs_to_some_Species]) ).
cnf(c_0_14,plain,
( icext(uri_ex_Eagle,X1)
| icext(uri_ex_Falcon,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_unionOf,X2,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_15,plain,
iext(uri_owl_unionOf,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
iext(uri_rdf_type,uri_ex_harry,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_18,negated_conjecture,
! [X22] :
( ~ iext(uri_rdf_type,uri_ex_harry,X22)
| ~ iext(uri_rdf_type,X22,uri_ex_Species) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_19,plain,
( icext(uri_ex_Falcon,X1)
| icext(uri_ex_Eagle,X1)
| ~ icext(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
icext(esk2_0,uri_ex_harry),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ iext(uri_rdf_type,uri_ex_harry,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_Species) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,plain,
( icext(uri_ex_Eagle,uri_ex_harry)
| icext(uri_ex_Falcon,uri_ex_harry) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,plain,
icext(uri_ex_Eagle,uri_ex_harry),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_29,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB014+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 07:21:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.009000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.012000 s
%------------------------------------------------------------------------------