TSTP Solution File: SWB029+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB029+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 20:02:08 EDT 2023
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 49 ( 11 unt; 18 typ; 0 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 71 ( 5 avg)
% Number of connectives : 247 ( 100 ~; 100 |; 39 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 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 : 15 ( 15 usr; 14 con; 0-5 aty)
% Number of variables : 62 ( 3 sgn; 26 !; 4 ?; 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_complementOf: $i ).
tff(decl_26,type,
ic: $i > $o ).
tff(decl_27,type,
uri_rdf_first: $i ).
tff(decl_28,type,
uri_rdf_rest: $i ).
tff(decl_29,type,
uri_rdf_nil: $i ).
tff(decl_30,type,
uri_owl_intersectionOf: $i ).
tff(decl_31,type,
uri_ex_w: $i ).
tff(decl_32,type,
uri_ex_B: $i ).
tff(decl_33,type,
uri_ex_A: $i ).
tff(decl_34,type,
uri_owl_Class: $i ).
tff(decl_35,type,
esk1_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
esk2_0: $i ).
tff(decl_37,type,
esk3_0: $i ).
tff(decl_38,type,
esk4_0: $i ).
tff(decl_39,type,
esk5_0: $i ).
fof(owl_bool_intersectionof_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_intersectionOf,X3,X4)
<=> ( ic(X3)
& ic(X5)
& ic(X7)
& ! [X1] :
( icext(X3,X1)
<=> ( icext(X5,X1)
& icext(X7,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(testcase_premise_fullish_029_Ex_Falso_Quodlibet,axiom,
? [X8,X9,X10,X11] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X8)
& iext(uri_owl_intersectionOf,X8,X10)
& iext(uri_rdf_first,X10,uri_ex_A)
& iext(uri_rdf_rest,X10,X11)
& iext(uri_rdf_first,X11,X9)
& iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_owl_complementOf,X9,uri_ex_A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
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(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,
! [X17,X18,X19,X20,X21,X22,X23] :
( ( ic(X17)
| ~ iext(uri_owl_intersectionOf,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( ic(X19)
| ~ iext(uri_owl_intersectionOf,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( ic(X21)
| ~ iext(uri_owl_intersectionOf,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( icext(X19,X22)
| ~ icext(X17,X22)
| ~ iext(uri_owl_intersectionOf,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( icext(X21,X22)
| ~ icext(X17,X22)
| ~ iext(uri_owl_intersectionOf,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( ~ icext(X19,X23)
| ~ icext(X21,X23)
| icext(X17,X23)
| ~ iext(uri_owl_intersectionOf,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( ~ icext(X17,esk1_5(X17,X18,X19,X20,X21))
| ~ icext(X19,esk1_5(X17,X18,X19,X20,X21))
| ~ icext(X21,esk1_5(X17,X18,X19,X20,X21))
| ~ ic(X17)
| ~ ic(X19)
| ~ ic(X21)
| iext(uri_owl_intersectionOf,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( icext(X19,esk1_5(X17,X18,X19,X20,X21))
| icext(X17,esk1_5(X17,X18,X19,X20,X21))
| ~ ic(X17)
| ~ ic(X19)
| ~ ic(X21)
| iext(uri_owl_intersectionOf,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
& ( icext(X21,esk1_5(X17,X18,X19,X20,X21))
| icext(X17,esk1_5(X17,X18,X19,X20,X21))
| ~ ic(X17)
| ~ ic(X19)
| ~ ic(X21)
| iext(uri_owl_intersectionOf,X17,X18)
| ~ iext(uri_rdf_first,X18,X19)
| ~ iext(uri_rdf_rest,X18,X20)
| ~ iext(uri_rdf_first,X20,X21)
| ~ iext(uri_rdf_rest,X20,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_intersectionof_class_002])])])])])]) ).
fof(c_0_5,plain,
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,esk2_0)
& iext(uri_owl_intersectionOf,esk2_0,esk4_0)
& iext(uri_rdf_first,esk4_0,uri_ex_A)
& iext(uri_rdf_rest,esk4_0,esk5_0)
& iext(uri_rdf_first,esk5_0,esk3_0)
& iext(uri_rdf_rest,esk5_0,uri_rdf_nil)
& iext(uri_owl_complementOf,esk3_0,uri_ex_A) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet])]) ).
cnf(c_0_6,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_rdf_rest,X4,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
iext(uri_rdf_first,esk5_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
iext(uri_rdf_rest,esk5_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(uri_rdf_first,X6,X1)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_10,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]) ).
cnf(c_0_11,plain,
( icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_rdf_rest,X4,esk5_0)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_owl_intersectionOf,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_12,plain,
iext(uri_rdf_first,esk4_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
iext(uri_rdf_rest,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,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])]) ).
cnf(c_0_15,plain,
( icext(esk3_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_rest,X3,esk5_0)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_owl_intersectionOf,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_7]),c_0_8])]) ).
fof(c_0_16,plain,
! [X14,X15,X16] :
( ( ic(X14)
| ~ iext(uri_owl_complementOf,X14,X15) )
& ( ic(X15)
| ~ iext(uri_owl_complementOf,X14,X15) )
& ( ~ icext(X14,X16)
| ~ icext(X15,X16)
| ~ iext(uri_owl_complementOf,X14,X15) )
& ( icext(X15,X16)
| icext(X14,X16)
| ~ iext(uri_owl_complementOf,X14,X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
cnf(c_0_17,plain,
( icext(uri_ex_A,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_18,plain,
iext(uri_owl_intersectionOf,esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
iext(uri_rdf_type,uri_ex_w,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,plain,
( icext(esk3_0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X2,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_12]),c_0_13])]) ).
cnf(c_0_22,plain,
( ~ icext(X1,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_complementOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
iext(uri_owl_complementOf,esk3_0,uri_ex_A),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,plain,
( icext(uri_ex_A,X1)
| ~ icext(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
icext(esk2_0,uri_ex_w),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
( icext(esk3_0,X1)
| ~ icext(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_27,plain,
( ~ icext(uri_ex_A,X1)
| ~ icext(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
icext(uri_ex_A,uri_ex_w),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
icext(esk3_0,uri_ex_w),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_30,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB029+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n031.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 07:09:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.010000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.012000 s
%------------------------------------------------------------------------------