TSTP Solution File: NUM412+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM412+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 19:07:02 EDT 2023
% Result : Theorem 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 99 ( 40 ~; 37 |; 12 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 3 sgn; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_ordinal1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2)
& transfinite_sequence(X2) )
=> ( transfinite_sequence_of(X2,X1)
<=> subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.mSZHYg6bAs/E---3.1_19009.p',d8_ordinal1) ).
fof(dt_m1_ordinal1,axiom,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ( relation(X2)
& function(X2)
& transfinite_sequence(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.mSZHYg6bAs/E---3.1_19009.p',dt_m1_ordinal1) ).
fof(t48_ordinal1,conjecture,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ! [X3] :
( ordinal(X3)
=> transfinite_sequence_of(tseq_dom_restriction(X2,X3),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.mSZHYg6bAs/E---3.1_19009.p',t48_ordinal1) ).
fof(t47_ordinal1,axiom,
! [X1,X2] :
( subset(X1,X2)
=> ! [X3] :
( transfinite_sequence_of(X3,X1)
=> transfinite_sequence_of(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.mSZHYg6bAs/E---3.1_19009.p',t47_ordinal1) ).
fof(dt_k2_ordinal1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& transfinite_sequence(X1)
& ordinal(X2) )
=> transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.mSZHYg6bAs/E---3.1_19009.p',dt_k2_ordinal1) ).
fof(c_0_5,plain,
! [X7,X8] :
( ( ~ transfinite_sequence_of(X8,X7)
| subset(relation_rng(X8),X7)
| ~ relation(X8)
| ~ function(X8)
| ~ transfinite_sequence(X8) )
& ( ~ subset(relation_rng(X8),X7)
| transfinite_sequence_of(X8,X7)
| ~ relation(X8)
| ~ function(X8)
| ~ transfinite_sequence(X8) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_ordinal1])])]) ).
fof(c_0_6,plain,
! [X9,X10] :
( ( relation(X10)
| ~ transfinite_sequence_of(X10,X9) )
& ( function(X10)
| ~ transfinite_sequence_of(X10,X9) )
& ( transfinite_sequence(X10)
| ~ transfinite_sequence_of(X10,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_ordinal1])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ! [X3] :
( ordinal(X3)
=> transfinite_sequence_of(tseq_dom_restriction(X2,X3),X1) ) ),
inference(assume_negation,[status(cth)],[t48_ordinal1]) ).
fof(c_0_8,plain,
! [X13,X14,X15] :
( ~ subset(X13,X14)
| ~ transfinite_sequence_of(X15,X13)
| transfinite_sequence_of(X15,X14) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_ordinal1])])]) ).
fof(c_0_9,plain,
! [X16,X17] :
( ~ relation(X16)
| ~ function(X16)
| ~ transfinite_sequence(X16)
| ~ ordinal(X17)
| transfinite_sequence_of(tseq_dom_restriction(X16,X17),relation_rng(X16)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_ordinal1])]) ).
cnf(c_0_10,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence_of(X1,X2)
| ~ relation(X1)
| ~ function(X1)
| ~ transfinite_sequence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( function(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_14,negated_conjecture,
( transfinite_sequence_of(esk2_0,esk1_0)
& ordinal(esk3_0)
& ~ transfinite_sequence_of(tseq_dom_restriction(esk2_0,esk3_0),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_15,plain,
( transfinite_sequence_of(X3,X2)
| ~ subset(X1,X2)
| ~ transfinite_sequence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ transfinite_sequence(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence_of(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
transfinite_sequence_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),X3)
| ~ subset(relation_rng(X1),X3)
| ~ transfinite_sequence(X1)
| ~ relation(X1)
| ~ ordinal(X2)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
subset(relation_rng(esk2_0),esk1_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
transfinite_sequence(esk2_0),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
relation(esk2_0),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
function(esk2_0),
inference(spm,[status(thm)],[c_0_11,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(esk2_0,esk3_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
( transfinite_sequence_of(tseq_dom_restriction(esk2_0,X1),esk1_0)
| ~ ordinal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
ordinal(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM412+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n022.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 14:14:24 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.mSZHYg6bAs/E---3.1_19009.p
% 0.16/0.46 # Version: 3.1pre001
% 0.16/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 # Starting sh5l with 300s (1) cores
% 0.16/0.46 # new_bool_3 with pid 19087 completed with status 0
% 0.16/0.46 # Result found by new_bool_3
% 0.16/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 # Search class: FGHSS-FFMM21-SFFFFFNN
% 0.16/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 181s (1) cores
% 0.16/0.46 # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 19090 completed with status 0
% 0.16/0.46 # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 0.16/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 # Search class: FGHSS-FFMM21-SFFFFFNN
% 0.16/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 181s (1) cores
% 0.16/0.46 # Preprocessing time : 0.001 s
% 0.16/0.46 # Presaturation interreduction done
% 0.16/0.46
% 0.16/0.46 # Proof found!
% 0.16/0.46 # SZS status Theorem
% 0.16/0.46 # SZS output start CNFRefutation
% See solution above
% 0.16/0.46 # Parsed axioms : 48
% 0.16/0.46 # Removed by relevancy pruning/SinE : 10
% 0.16/0.46 # Initial clauses : 74
% 0.16/0.46 # Removed in clause preprocessing : 0
% 0.16/0.46 # Initial clauses in saturation : 74
% 0.16/0.46 # Processed clauses : 425
% 0.16/0.46 # ...of these trivial : 5
% 0.16/0.46 # ...subsumed : 154
% 0.16/0.46 # ...remaining for further processing : 266
% 0.16/0.46 # Other redundant clauses eliminated : 0
% 0.16/0.46 # Clauses deleted for lack of memory : 0
% 0.16/0.46 # Backward-subsumed : 4
% 0.16/0.46 # Backward-rewritten : 13
% 0.16/0.46 # Generated clauses : 785
% 0.16/0.46 # ...of the previous two non-redundant : 709
% 0.16/0.46 # ...aggressively subsumed : 0
% 0.16/0.46 # Contextual simplify-reflections : 4
% 0.16/0.46 # Paramodulations : 785
% 0.16/0.46 # Factorizations : 0
% 0.16/0.46 # NegExts : 0
% 0.16/0.46 # Equation resolutions : 0
% 0.16/0.46 # Total rewrite steps : 192
% 0.16/0.46 # Propositional unsat checks : 0
% 0.16/0.46 # Propositional check models : 0
% 0.16/0.46 # Propositional check unsatisfiable : 0
% 0.16/0.46 # Propositional clauses : 0
% 0.16/0.46 # Propositional clauses after purity: 0
% 0.16/0.46 # Propositional unsat core size : 0
% 0.16/0.46 # Propositional preprocessing time : 0.000
% 0.16/0.46 # Propositional encoding time : 0.000
% 0.16/0.46 # Propositional solver time : 0.000
% 0.16/0.46 # Success case prop preproc time : 0.000
% 0.16/0.46 # Success case prop encoding time : 0.000
% 0.16/0.46 # Success case prop solver time : 0.000
% 0.16/0.46 # Current number of processed clauses : 180
% 0.16/0.46 # Positive orientable unit clauses : 50
% 0.16/0.46 # Positive unorientable unit clauses: 0
% 0.16/0.46 # Negative unit clauses : 5
% 0.16/0.46 # Non-unit-clauses : 125
% 0.16/0.46 # Current number of unprocessed clauses: 411
% 0.16/0.46 # ...number of literals in the above : 1704
% 0.16/0.46 # Current number of archived formulas : 0
% 0.16/0.46 # Current number of archived clauses : 86
% 0.16/0.46 # Clause-clause subsumption calls (NU) : 4675
% 0.16/0.46 # Rec. Clause-clause subsumption calls : 3009
% 0.16/0.46 # Non-unit clause-clause subsumptions : 162
% 0.16/0.46 # Unit Clause-clause subsumption calls : 108
% 0.16/0.46 # Rewrite failures with RHS unbound : 0
% 0.16/0.46 # BW rewrite match attempts : 8
% 0.16/0.46 # BW rewrite match successes : 3
% 0.16/0.46 # Condensation attempts : 0
% 0.16/0.46 # Condensation successes : 0
% 0.16/0.46 # Termbank termtop insertions : 10853
% 0.16/0.46
% 0.16/0.46 # -------------------------------------------------
% 0.16/0.46 # User time : 0.020 s
% 0.16/0.46 # System time : 0.005 s
% 0.16/0.46 # Total time : 0.024 s
% 0.16/0.46 # Maximum resident set size: 1900 pages
% 0.16/0.46
% 0.16/0.46 # -------------------------------------------------
% 0.16/0.46 # User time : 0.020 s
% 0.16/0.46 # System time : 0.008 s
% 0.16/0.46 # Total time : 0.027 s
% 0.16/0.46 # Maximum resident set size: 1732 pages
% 0.16/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------