TSTP Solution File: SEU248+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 19:25:29 EDT 2023
% Result : Theorem 2.73s 0.77s
% Output : CNFRefutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 117 ( 15 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 152 ( 62 ~; 66 |; 12 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 72 ( 6 sgn; 38 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d12_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_rng_restriction(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ( in(X5,X1)
& in(ordered_pair(X4,X5),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CdwfJyy0P3/E---3.1_23534.p',d12_relat_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.CdwfJyy0P3/E---3.1_23534.p',dt_k8_relat_1) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CdwfJyy0P3/E---3.1_23534.p',d4_relat_1) ).
fof(l29_wellord1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.CdwfJyy0P3/E---3.1_23534.p',l29_wellord1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CdwfJyy0P3/E---3.1_23534.p',d3_tarski) ).
fof(c_0_5,plain,
! [X27,X28,X29,X30,X31,X32,X33] :
( ( in(X31,X27)
| ~ in(ordered_pair(X30,X31),X29)
| X29 != relation_rng_restriction(X27,X28)
| ~ relation(X29)
| ~ relation(X28) )
& ( in(ordered_pair(X30,X31),X28)
| ~ in(ordered_pair(X30,X31),X29)
| X29 != relation_rng_restriction(X27,X28)
| ~ relation(X29)
| ~ relation(X28) )
& ( ~ in(X33,X27)
| ~ in(ordered_pair(X32,X33),X28)
| in(ordered_pair(X32,X33),X29)
| X29 != relation_rng_restriction(X27,X28)
| ~ relation(X29)
| ~ relation(X28) )
& ( ~ in(ordered_pair(esk7_3(X27,X28,X29),esk8_3(X27,X28,X29)),X29)
| ~ in(esk8_3(X27,X28,X29),X27)
| ~ in(ordered_pair(esk7_3(X27,X28,X29),esk8_3(X27,X28,X29)),X28)
| X29 = relation_rng_restriction(X27,X28)
| ~ relation(X29)
| ~ relation(X28) )
& ( in(esk8_3(X27,X28,X29),X27)
| in(ordered_pair(esk7_3(X27,X28,X29),esk8_3(X27,X28,X29)),X29)
| X29 = relation_rng_restriction(X27,X28)
| ~ relation(X29)
| ~ relation(X28) )
& ( in(ordered_pair(esk7_3(X27,X28,X29),esk8_3(X27,X28,X29)),X28)
| in(ordered_pair(esk7_3(X27,X28,X29),esk8_3(X27,X28,X29)),X29)
| X29 = relation_rng_restriction(X27,X28)
| ~ relation(X29)
| ~ relation(X28) ) ),
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)],[d12_relat_1])])])])])]) ).
fof(c_0_6,plain,
! [X36,X37] :
( ~ relation(X37)
| relation(relation_rng_restriction(X36,X37)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
fof(c_0_7,plain,
! [X17,X18,X19,X21,X22,X23,X25] :
( ( ~ in(X19,X18)
| in(ordered_pair(X19,esk4_3(X17,X18,X19)),X17)
| X18 != relation_dom(X17)
| ~ relation(X17) )
& ( ~ in(ordered_pair(X21,X22),X17)
| in(X21,X18)
| X18 != relation_dom(X17)
| ~ relation(X17) )
& ( ~ in(esk5_2(X17,X23),X23)
| ~ in(ordered_pair(esk5_2(X17,X23),X25),X17)
| X23 = relation_dom(X17)
| ~ relation(X17) )
& ( in(esk5_2(X17,X23),X23)
| in(ordered_pair(esk5_2(X17,X23),esk6_2(X17,X23)),X17)
| X23 = relation_dom(X17)
| ~ relation(X17) ) ),
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)],[d4_relat_1])])])])])]) ).
cnf(c_0_8,plain,
( in(ordered_pair(X1,X2),X3)
| ~ in(ordered_pair(X1,X2),X4)
| X4 != relation_rng_restriction(X5,X3)
| ~ relation(X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( in(ordered_pair(X1,esk4_3(X3,X2,X1)),X3)
| ~ in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
inference(assume_negation,[status(cth)],[l29_wellord1]) ).
cnf(c_0_12,plain,
( in(X1,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( in(ordered_pair(X1,X2),X3)
| ~ relation(X3)
| ~ in(ordered_pair(X1,X2),relation_rng_restriction(X4,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_8]),c_0_9]) ).
cnf(c_0_14,plain,
( in(ordered_pair(X1,esk4_3(X2,relation_dom(X2),X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_10]) ).
fof(c_0_15,negated_conjecture,
( relation(esk2_0)
& ~ subset(relation_dom(relation_rng_restriction(esk1_0,esk2_0)),relation_dom(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_16,plain,
! [X8,X9,X10,X11,X12] :
( ( ~ subset(X8,X9)
| ~ in(X10,X8)
| in(X10,X9) )
& ( in(esk3_2(X11,X12),X11)
| subset(X11,X12) )
& ( ~ in(esk3_2(X11,X12),X12)
| subset(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)],[d3_tarski])])])])])]) ).
cnf(c_0_17,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(ordered_pair(X1,X3),X2) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( in(ordered_pair(X1,esk4_3(relation_rng_restriction(X2,X3),relation_dom(relation_rng_restriction(X2,X3)),X1)),X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(relation_rng_restriction(X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_9]) ).
cnf(c_0_19,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(esk1_0,esk2_0)),relation_dom(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( in(esk3_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_rng_restriction(X3,X2))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
in(esk3_2(relation_dom(relation_rng_restriction(esk1_0,esk2_0)),relation_dom(esk2_0)),relation_dom(relation_rng_restriction(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
~ in(esk3_2(relation_dom(relation_rng_restriction(esk1_0,esk2_0)),relation_dom(esk2_0)),relation_dom(esk2_0)),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 2400
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Oct 2 08:39:31 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.CdwfJyy0P3/E---3.1_23534.p
% 2.73/0.77 # Version: 3.1pre001
% 2.73/0.77 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.73/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.73/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.73/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.73/0.77 # Starting new_bool_1 with 300s (1) cores
% 2.73/0.77 # Starting sh5l with 300s (1) cores
% 2.73/0.77 # sh5l with pid 23615 completed with status 0
% 2.73/0.77 # Result found by sh5l
% 2.73/0.77 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.73/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.73/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.73/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.73/0.77 # Starting new_bool_1 with 300s (1) cores
% 2.73/0.77 # Starting sh5l with 300s (1) cores
% 2.73/0.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 2.73/0.77 # Search class: FGHSM-FFMM31-SFFFFFNN
% 2.73/0.77 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 2.73/0.77 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 2.73/0.77 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 23620 completed with status 0
% 2.73/0.77 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 2.73/0.77 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.73/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.73/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.73/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.73/0.77 # Starting new_bool_1 with 300s (1) cores
% 2.73/0.77 # Starting sh5l with 300s (1) cores
% 2.73/0.77 # SinE strategy is gf500_gu_R04_F100_L20000
% 2.73/0.77 # Search class: FGHSM-FFMM31-SFFFFFNN
% 2.73/0.77 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 2.73/0.77 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 2.73/0.77 # Preprocessing time : 0.001 s
% 2.73/0.77 # Presaturation interreduction done
% 2.73/0.77
% 2.73/0.77 # Proof found!
% 2.73/0.77 # SZS status Theorem
% 2.73/0.77 # SZS output start CNFRefutation
% See solution above
% 2.73/0.77 # Parsed axioms : 35
% 2.73/0.77 # Removed by relevancy pruning/SinE : 9
% 2.73/0.77 # Initial clauses : 46
% 2.73/0.77 # Removed in clause preprocessing : 2
% 2.73/0.77 # Initial clauses in saturation : 44
% 2.73/0.77 # Processed clauses : 2800
% 2.73/0.77 # ...of these trivial : 30
% 2.73/0.77 # ...subsumed : 2123
% 2.73/0.77 # ...remaining for further processing : 647
% 2.73/0.77 # Other redundant clauses eliminated : 5
% 2.73/0.77 # Clauses deleted for lack of memory : 0
% 2.73/0.77 # Backward-subsumed : 20
% 2.73/0.77 # Backward-rewritten : 14
% 2.73/0.77 # Generated clauses : 16572
% 2.73/0.77 # ...of the previous two non-redundant : 14553
% 2.73/0.77 # ...aggressively subsumed : 0
% 2.73/0.77 # Contextual simplify-reflections : 13
% 2.73/0.77 # Paramodulations : 16561
% 2.73/0.77 # Factorizations : 6
% 2.73/0.77 # NegExts : 0
% 2.73/0.77 # Equation resolutions : 5
% 2.73/0.77 # Total rewrite steps : 11366
% 2.73/0.77 # Propositional unsat checks : 0
% 2.73/0.77 # Propositional check models : 0
% 2.73/0.77 # Propositional check unsatisfiable : 0
% 2.73/0.77 # Propositional clauses : 0
% 2.73/0.77 # Propositional clauses after purity: 0
% 2.73/0.77 # Propositional unsat core size : 0
% 2.73/0.77 # Propositional preprocessing time : 0.000
% 2.73/0.77 # Propositional encoding time : 0.000
% 2.73/0.77 # Propositional solver time : 0.000
% 2.73/0.77 # Success case prop preproc time : 0.000
% 2.73/0.77 # Success case prop encoding time : 0.000
% 2.73/0.77 # Success case prop solver time : 0.000
% 2.73/0.77 # Current number of processed clauses : 565
% 2.73/0.77 # Positive orientable unit clauses : 48
% 2.73/0.77 # Positive unorientable unit clauses: 2
% 2.73/0.77 # Negative unit clauses : 36
% 2.73/0.77 # Non-unit-clauses : 479
% 2.73/0.77 # Current number of unprocessed clauses: 11658
% 2.73/0.77 # ...number of literals in the above : 52436
% 2.73/0.77 # Current number of archived formulas : 0
% 2.73/0.77 # Current number of archived clauses : 77
% 2.73/0.77 # Clause-clause subsumption calls (NU) : 52167
% 2.73/0.77 # Rec. Clause-clause subsumption calls : 25595
% 2.73/0.77 # Non-unit clause-clause subsumptions : 585
% 2.73/0.77 # Unit Clause-clause subsumption calls : 1983
% 2.73/0.77 # Rewrite failures with RHS unbound : 0
% 2.73/0.77 # BW rewrite match attempts : 24
% 2.73/0.77 # BW rewrite match successes : 14
% 2.73/0.77 # Condensation attempts : 0
% 2.73/0.77 # Condensation successes : 0
% 2.73/0.77 # Termbank termtop insertions : 293862
% 2.73/0.77
% 2.73/0.77 # -------------------------------------------------
% 2.73/0.77 # User time : 0.311 s
% 2.73/0.77 # System time : 0.013 s
% 2.73/0.77 # Total time : 0.324 s
% 2.73/0.77 # Maximum resident set size: 1868 pages
% 2.73/0.77
% 2.73/0.77 # -------------------------------------------------
% 2.73/0.77 # User time : 0.312 s
% 2.73/0.77 # System time : 0.015 s
% 2.73/0.77 # Total time : 0.327 s
% 2.73/0.77 # Maximum resident set size: 1708 pages
% 2.73/0.77 % E---3.1 exiting
% 2.73/0.77 % E---3.1 exiting
%------------------------------------------------------------------------------