TSTP Solution File: SET020+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET020+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 19:17:58 EDT 2023
% Result : Theorem 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 43 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 42 ( 15 ~; 12 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unique_1st_and_2nd_in_pair_of_sets1,conjecture,
! [X3,X4,X1] :
( ( member(X3,universal_class)
& member(X4,universal_class)
& X1 = ordered_pair(X3,X4) )
=> ( first(X1) = X3
& second(X1) = X4 ) ),
file('/export/starexec/sandbox/tmp/tmp.HDZ3KhkGwG/E---3.1_27242.p',unique_1st_and_2nd_in_pair_of_sets1) ).
fof(first_second,axiom,
! [X1,X2] :
( ( member(X1,universal_class)
& member(X2,universal_class) )
=> ( first(ordered_pair(X1,X2)) = X1
& second(ordered_pair(X1,X2)) = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.HDZ3KhkGwG/E---3.1_27242.p',first_second) ).
fof(c_0_2,negated_conjecture,
~ ! [X3,X4,X1] :
( ( member(X3,universal_class)
& member(X4,universal_class)
& X1 = ordered_pair(X3,X4) )
=> ( first(X1) = X3
& second(X1) = X4 ) ),
inference(assume_negation,[status(cth)],[unique_1st_and_2nd_in_pair_of_sets1]) ).
fof(c_0_3,plain,
! [X13,X14] :
( ( first(ordered_pair(X13,X14)) = X13
| ~ member(X13,universal_class)
| ~ member(X14,universal_class) )
& ( second(ordered_pair(X13,X14)) = X14
| ~ member(X13,universal_class)
| ~ member(X14,universal_class) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[first_second])])]) ).
fof(c_0_4,negated_conjecture,
( member(esk1_0,universal_class)
& member(esk2_0,universal_class)
& esk3_0 = ordered_pair(esk1_0,esk2_0)
& ( first(esk3_0) != esk1_0
| second(esk3_0) != esk2_0 ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( first(ordered_pair(X1,X2)) = X1
| ~ member(X1,universal_class)
| ~ member(X2,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
member(esk2_0,universal_class),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( second(ordered_pair(X1,X2)) = X2
| ~ member(X1,universal_class)
| ~ member(X2,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( first(ordered_pair(X1,esk2_0)) = X1
| ~ member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
member(esk1_0,universal_class),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
esk3_0 = ordered_pair(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( second(ordered_pair(X1,esk2_0)) = esk2_0
| ~ member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( first(esk3_0) != esk1_0
| second(esk3_0) != esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
first(esk3_0) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_14,negated_conjecture,
second(esk3_0) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_10]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET020+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n027.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 : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 17:59:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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.HDZ3KhkGwG/E---3.1_27242.p
% 0.17/0.47 # Version: 3.1pre001
% 0.17/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 # Starting sh5l with 300s (1) cores
% 0.17/0.47 # new_bool_1 with pid 27322 completed with status 0
% 0.17/0.47 # Result found by new_bool_1
% 0.17/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47 # Search class: FHHSF-FFSS21-SFFFFFNN
% 0.17/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 181s (1) cores
% 0.17/0.47 # G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with pid 27324 completed with status 0
% 0.17/0.47 # Result found by G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S
% 0.17/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47 # Search class: FHHSF-FFSS21-SFFFFFNN
% 0.17/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 181s (1) cores
% 0.17/0.47 # Preprocessing time : 0.001 s
% 0.17/0.47 # Presaturation interreduction done
% 0.17/0.47
% 0.17/0.47 # Proof found!
% 0.17/0.47 # SZS status Theorem
% 0.17/0.47 # SZS output start CNFRefutation
% See solution above
% 0.17/0.47 # Parsed axioms : 44
% 0.17/0.47 # Removed by relevancy pruning/SinE : 40
% 0.17/0.47 # Initial clauses : 10
% 0.17/0.47 # Removed in clause preprocessing : 0
% 0.17/0.47 # Initial clauses in saturation : 10
% 0.17/0.47 # Processed clauses : 26
% 0.17/0.47 # ...of these trivial : 0
% 0.17/0.47 # ...subsumed : 0
% 0.17/0.47 # ...remaining for further processing : 25
% 0.17/0.47 # Other redundant clauses eliminated : 0
% 0.17/0.47 # Clauses deleted for lack of memory : 0
% 0.17/0.47 # Backward-subsumed : 0
% 0.17/0.47 # Backward-rewritten : 1
% 0.17/0.47 # Generated clauses : 12
% 0.17/0.47 # ...of the previous two non-redundant : 13
% 0.17/0.47 # ...aggressively subsumed : 0
% 0.17/0.47 # Contextual simplify-reflections : 0
% 0.17/0.47 # Paramodulations : 12
% 0.17/0.47 # Factorizations : 0
% 0.17/0.47 # NegExts : 0
% 0.17/0.47 # Equation resolutions : 0
% 0.17/0.47 # Total rewrite steps : 4
% 0.17/0.47 # Propositional unsat checks : 0
% 0.17/0.47 # Propositional check models : 0
% 0.17/0.47 # Propositional check unsatisfiable : 0
% 0.17/0.47 # Propositional clauses : 0
% 0.17/0.47 # Propositional clauses after purity: 0
% 0.17/0.47 # Propositional unsat core size : 0
% 0.17/0.47 # Propositional preprocessing time : 0.000
% 0.17/0.47 # Propositional encoding time : 0.000
% 0.17/0.47 # Propositional solver time : 0.000
% 0.17/0.47 # Success case prop preproc time : 0.000
% 0.17/0.47 # Success case prop encoding time : 0.000
% 0.17/0.47 # Success case prop solver time : 0.000
% 0.17/0.47 # Current number of processed clauses : 14
% 0.17/0.47 # Positive orientable unit clauses : 6
% 0.17/0.47 # Positive unorientable unit clauses: 0
% 0.17/0.47 # Negative unit clauses : 0
% 0.17/0.47 # Non-unit-clauses : 8
% 0.17/0.47 # Current number of unprocessed clauses: 7
% 0.17/0.47 # ...number of literals in the above : 13
% 0.17/0.47 # Current number of archived formulas : 0
% 0.17/0.47 # Current number of archived clauses : 11
% 0.17/0.47 # Clause-clause subsumption calls (NU) : 4
% 0.17/0.47 # Rec. Clause-clause subsumption calls : 4
% 0.17/0.47 # Non-unit clause-clause subsumptions : 0
% 0.17/0.47 # Unit Clause-clause subsumption calls : 0
% 0.17/0.47 # Rewrite failures with RHS unbound : 0
% 0.17/0.47 # BW rewrite match attempts : 1
% 0.17/0.47 # BW rewrite match successes : 1
% 0.17/0.47 # Condensation attempts : 0
% 0.17/0.47 # Condensation successes : 0
% 0.17/0.47 # Termbank termtop insertions : 1174
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.003 s
% 0.17/0.47 # System time : 0.002 s
% 0.17/0.47 # Total time : 0.004 s
% 0.17/0.47 # Maximum resident set size: 1860 pages
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.004 s
% 0.17/0.47 # System time : 0.003 s
% 0.17/0.47 # Total time : 0.007 s
% 0.17/0.47 # Maximum resident set size: 1724 pages
% 0.17/0.47 % E---3.1 exiting
% 0.17/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------