TSTP Solution File: SWB056+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWB056+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:37:19 EDT 2023
% Result : Theorem 885.16s 133.89s
% Output : CNFRefutation 885.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 15 unt; 0 def)
% Number of atoms : 137 ( 27 equ)
% Maximal formula atoms : 53 ( 4 avg)
% Number of connectives : 175 ( 70 ~; 74 |; 25 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-5 aty)
% Number of variables : 47 ( 0 sgn; 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.rhdSOrfVo5/E---3.1_30016.p',rdfs_cext_def) ).
fof(premise_rdfbased_sem_enum_inst_closed,axiom,
? [X42,X37] :
( iext(uri_rdf_type,uri_ex_z,uri_ex_e)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X42)
& iext(uri_rdf_first,X42,uri_ex_x)
& iext(uri_rdf_rest,X42,X37)
& iext(uri_rdf_first,X37,uri_ex_y)
& iext(uri_rdf_rest,X37,uri_rdf_nil) ),
file('/export/starexec/sandbox/tmp/tmp.rhdSOrfVo5/E---3.1_30016.p',premise_rdfbased_sem_enum_inst_closed) ).
fof(owl_enum_class_002,axiom,
! [X11,X12,X21,X14,X22] :
( ( iext(uri_rdf_first,X12,X21)
& iext(uri_rdf_rest,X12,X14)
& iext(uri_rdf_first,X14,X22)
& iext(uri_rdf_rest,X14,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X11,X12)
<=> ( ic(X11)
& ! [X4] :
( icext(X11,X4)
<=> ( X4 = X21
| X4 = X22 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rhdSOrfVo5/E---3.1_30016.p',owl_enum_class_002) ).
fof(owl_eqdis_sameas,axiom,
! [X4,X7] :
( iext(uri_owl_sameAs,X4,X7)
<=> X4 = X7 ),
file('/export/starexec/sandbox/tmp/tmp.rhdSOrfVo5/E---3.1_30016.p',owl_eqdis_sameas) ).
fof(conclusion_rdfbased_sem_enum_inst_closed,conjecture,
iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
file('/export/starexec/sandbox/tmp/tmp.rhdSOrfVo5/E---3.1_30016.p',conclusion_rdfbased_sem_enum_inst_closed) ).
fof(owl_eqdis_differentfrom,axiom,
! [X4,X7] :
( iext(uri_owl_differentFrom,X4,X7)
<=> X4 != X7 ),
file('/export/starexec/sandbox/tmp/tmp.rhdSOrfVo5/E---3.1_30016.p',owl_eqdis_differentfrom) ).
fof(c_0_6,plain,
! [X153,X154] :
( ( ~ iext(uri_rdf_type,X153,X154)
| icext(X154,X153) )
& ( ~ icext(X154,X153)
| iext(uri_rdf_type,X153,X154) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
fof(c_0_7,plain,
( iext(uri_rdf_type,uri_ex_z,uri_ex_e)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,esk1_0)
& iext(uri_rdf_first,esk1_0,uri_ex_x)
& iext(uri_rdf_rest,esk1_0,esk2_0)
& iext(uri_rdf_first,esk2_0,uri_ex_y)
& iext(uri_rdf_rest,esk2_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_enum_inst_closed])]) ).
fof(c_0_8,plain,
! [X116,X117,X118,X119,X120,X121,X122] :
( ( ic(X116)
| ~ iext(uri_owl_oneOf,X116,X117)
| ~ iext(uri_rdf_first,X117,X118)
| ~ iext(uri_rdf_rest,X117,X119)
| ~ iext(uri_rdf_first,X119,X120)
| ~ iext(uri_rdf_rest,X119,uri_rdf_nil) )
& ( ~ icext(X116,X121)
| X121 = X118
| X121 = X120
| ~ iext(uri_owl_oneOf,X116,X117)
| ~ iext(uri_rdf_first,X117,X118)
| ~ iext(uri_rdf_rest,X117,X119)
| ~ iext(uri_rdf_first,X119,X120)
| ~ iext(uri_rdf_rest,X119,uri_rdf_nil) )
& ( X122 != X118
| icext(X116,X122)
| ~ iext(uri_owl_oneOf,X116,X117)
| ~ iext(uri_rdf_first,X117,X118)
| ~ iext(uri_rdf_rest,X117,X119)
| ~ iext(uri_rdf_first,X119,X120)
| ~ iext(uri_rdf_rest,X119,uri_rdf_nil) )
& ( X122 != X120
| icext(X116,X122)
| ~ iext(uri_owl_oneOf,X116,X117)
| ~ iext(uri_rdf_first,X117,X118)
| ~ iext(uri_rdf_rest,X117,X119)
| ~ iext(uri_rdf_first,X119,X120)
| ~ iext(uri_rdf_rest,X119,uri_rdf_nil) )
& ( esk13_5(X116,X117,X118,X119,X120) != X118
| ~ icext(X116,esk13_5(X116,X117,X118,X119,X120))
| ~ ic(X116)
| iext(uri_owl_oneOf,X116,X117)
| ~ iext(uri_rdf_first,X117,X118)
| ~ iext(uri_rdf_rest,X117,X119)
| ~ iext(uri_rdf_first,X119,X120)
| ~ iext(uri_rdf_rest,X119,uri_rdf_nil) )
& ( esk13_5(X116,X117,X118,X119,X120) != X120
| ~ icext(X116,esk13_5(X116,X117,X118,X119,X120))
| ~ ic(X116)
| iext(uri_owl_oneOf,X116,X117)
| ~ iext(uri_rdf_first,X117,X118)
| ~ iext(uri_rdf_rest,X117,X119)
| ~ iext(uri_rdf_first,X119,X120)
| ~ iext(uri_rdf_rest,X119,uri_rdf_nil) )
& ( icext(X116,esk13_5(X116,X117,X118,X119,X120))
| esk13_5(X116,X117,X118,X119,X120) = X118
| esk13_5(X116,X117,X118,X119,X120) = X120
| ~ ic(X116)
| iext(uri_owl_oneOf,X116,X117)
| ~ iext(uri_rdf_first,X117,X118)
| ~ iext(uri_rdf_rest,X117,X119)
| ~ iext(uri_rdf_first,X119,X120)
| ~ iext(uri_rdf_rest,X119,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_002])])])])])]) ).
cnf(c_0_9,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
iext(uri_rdf_type,uri_ex_z,uri_ex_e),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( X2 = X3
| X2 = X4
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,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_8]) ).
cnf(c_0_12,plain,
icext(uri_ex_e,uri_ex_z),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( uri_ex_z = X1
| uri_ex_z = X2
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,uri_ex_e,X4)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_first,X4,X1)
| ~ iext(uri_rdf_rest,X4,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
iext(uri_rdf_first,esk2_0,uri_ex_y),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
iext(uri_rdf_rest,esk2_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
! [X50,X51] :
( ( ~ iext(uri_owl_sameAs,X50,X51)
| X50 = X51 )
& ( X50 != X51
| iext(uri_owl_sameAs,X50,X51) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).
fof(c_0_17,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_enum_inst_closed])]) ).
cnf(c_0_18,plain,
( uri_ex_y = uri_ex_z
| uri_ex_z = X1
| ~ iext(uri_owl_oneOf,uri_ex_e,X2)
| ~ iext(uri_rdf_rest,X2,esk2_0)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_19,plain,
iext(uri_rdf_first,esk1_0,uri_ex_x),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
iext(uri_owl_oneOf,uri_ex_e,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
iext(uri_rdf_rest,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,plain,
( iext(uri_owl_sameAs,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_23,plain,
! [X151,X152] :
( ( ~ iext(uri_owl_differentFrom,X151,X152)
| X151 != X152 )
& ( X151 = X152
| iext(uri_owl_differentFrom,X151,X152) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_differentfrom])]) ).
cnf(c_0_24,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( uri_ex_x = uri_ex_z
| uri_ex_y = uri_ex_z ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_26,plain,
iext(uri_owl_sameAs,X1,X1),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( ~ iext(uri_owl_differentFrom,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,negated_conjecture,
uri_ex_x = uri_ex_z,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_30,plain,
~ iext(uri_owl_differentFrom,X1,X1),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.16 % Problem : SWB056+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.18 % Command : run_E %s %d THM
% 0.17/0.39 % Computer : n012.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 2400
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Mon Oct 2 20:15:20 EDT 2023
% 0.17/0.39 % CPUTime :
% 0.24/0.56 Running first-order theorem proving
% 0.24/0.56 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.rhdSOrfVo5/E---3.1_30016.p
% 885.16/133.89 # Version: 3.1pre001
% 885.16/133.89 # Preprocessing class: FSLMSMSLSSSNFFN.
% 885.16/133.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 885.16/133.89 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 885.16/133.89 # Starting new_bool_3 with 600s (2) cores
% 885.16/133.89 # Starting new_bool_1 with 600s (2) cores
% 885.16/133.89 # Starting sh5l with 300s (1) cores
% 885.16/133.89 # new_bool_3 with pid 30095 completed with status 8
% 885.16/133.89 # new_bool_1 with pid 30096 completed with status 8
% 885.16/133.89 # sh5l with pid 30097 completed with status 0
% 885.16/133.89 # Result found by sh5l
% 885.16/133.89 # Preprocessing class: FSLMSMSLSSSNFFN.
% 885.16/133.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 885.16/133.89 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 885.16/133.89 # Starting new_bool_3 with 600s (2) cores
% 885.16/133.89 # Starting new_bool_1 with 600s (2) cores
% 885.16/133.89 # Starting sh5l with 300s (1) cores
% 885.16/133.89 # SinE strategy is gf500_gu_R04_F100_L20000
% 885.16/133.89 # Search class: FGHSF-FMLM33-SFFFFFNN
% 885.16/133.89 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 885.16/133.89 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 885.16/133.89 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 30109 completed with status 0
% 885.16/133.89 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 885.16/133.89 # Preprocessing class: FSLMSMSLSSSNFFN.
% 885.16/133.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 885.16/133.89 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 885.16/133.89 # Starting new_bool_3 with 600s (2) cores
% 885.16/133.89 # Starting new_bool_1 with 600s (2) cores
% 885.16/133.89 # Starting sh5l with 300s (1) cores
% 885.16/133.89 # SinE strategy is gf500_gu_R04_F100_L20000
% 885.16/133.89 # Search class: FGHSF-FMLM33-SFFFFFNN
% 885.16/133.89 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 885.16/133.89 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 885.16/133.89 # Preprocessing time : 0.016 s
% 885.16/133.89 # Presaturation interreduction done
% 885.16/133.89
% 885.16/133.89 # Proof found!
% 885.16/133.89 # SZS status Theorem
% 885.16/133.89 # SZS output start CNFRefutation
% See solution above
% 885.16/133.89 # Parsed axioms : 560
% 885.16/133.89 # Removed by relevancy pruning/SinE : 231
% 885.16/133.89 # Initial clauses : 938
% 885.16/133.89 # Removed in clause preprocessing : 40
% 885.16/133.89 # Initial clauses in saturation : 898
% 885.16/133.89 # Processed clauses : 136737
% 885.16/133.89 # ...of these trivial : 190
% 885.16/133.89 # ...subsumed : 51954
% 885.16/133.89 # ...remaining for further processing : 84593
% 885.16/133.89 # Other redundant clauses eliminated : 16
% 885.16/133.89 # Clauses deleted for lack of memory : 0
% 885.16/133.89 # Backward-subsumed : 419
% 885.16/133.89 # Backward-rewritten : 1275
% 885.16/133.89 # Generated clauses : 791539
% 885.16/133.89 # ...of the previous two non-redundant : 778611
% 885.16/133.89 # ...aggressively subsumed : 0
% 885.16/133.89 # Contextual simplify-reflections : 560
% 885.16/133.89 # Paramodulations : 791511
% 885.16/133.89 # Factorizations : 12
% 885.16/133.89 # NegExts : 0
% 885.16/133.89 # Equation resolutions : 16
% 885.16/133.89 # Total rewrite steps : 26246
% 885.16/133.89 # Propositional unsat checks : 16
% 885.16/133.89 # Propositional check models : 0
% 885.16/133.89 # Propositional check unsatisfiable : 0
% 885.16/133.89 # Propositional clauses : 0
% 885.16/133.89 # Propositional clauses after purity: 0
% 885.16/133.89 # Propositional unsat core size : 0
% 885.16/133.89 # Propositional preprocessing time : 0.000
% 885.16/133.89 # Propositional encoding time : 4.333
% 885.16/133.89 # Propositional solver time : 2.044
% 885.16/133.89 # Success case prop preproc time : 0.000
% 885.16/133.89 # Success case prop encoding time : 0.000
% 885.16/133.89 # Success case prop solver time : 0.000
% 885.16/133.89 # Current number of processed clauses : 82063
% 885.16/133.89 # Positive orientable unit clauses : 657
% 885.16/133.89 # Positive unorientable unit clauses: 0
% 885.16/133.89 # Negative unit clauses : 37
% 885.16/133.89 # Non-unit-clauses : 81369
% 885.16/133.89 # Current number of unprocessed clauses: 642295
% 885.16/133.89 # ...number of literals in the above : 3774415
% 885.16/133.89 # Current number of archived formulas : 0
% 885.16/133.89 # Current number of archived clauses : 2514
% 885.16/133.89 # Clause-clause subsumption calls (NU) : 648427860
% 885.16/133.89 # Rec. Clause-clause subsumption calls : 162052576
% 885.16/133.89 # Non-unit clause-clause subsumptions : 50919
% 885.16/133.89 # Unit Clause-clause subsumption calls : 68061
% 885.16/133.89 # Rewrite failures with RHS unbound : 0
% 885.16/133.89 # BW rewrite match attempts : 237
% 885.16/133.89 # BW rewrite match successes : 2
% 885.16/133.89 # Condensation attempts : 0
% 885.16/133.89 # Condensation successes : 0
% 885.16/133.89 # Termbank termtop insertions : 45257224
% 885.16/133.89
% 885.16/133.89 # -------------------------------------------------
% 885.16/133.89 # User time : 131.985 s
% 885.16/133.89 # System time : 0.604 s
% 885.16/133.89 # Total time : 132.589 s
% 885.16/133.89 # Maximum resident set size: 5256 pages
% 885.16/133.89
% 885.16/133.89 # -------------------------------------------------
% 885.16/133.89 # User time : 487.996 s
% 885.16/133.89 # System time : 0.681 s
% 885.16/133.89 # Total time : 488.677 s
% 885.16/133.89 # Maximum resident set size: 2232 pages
% 885.16/133.89 % E---3.1 exiting
% 885.16/133.90 % E---3.1 exiting
%------------------------------------------------------------------------------