TSTP Solution File: SYN966+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 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 20:42:49 EDT 2023
% Result : Theorem 0.36s 0.52s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 54 ( 19 ~; 22 |; 5 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ! [X1,X2] :
( eq(X1,X2)
<=> ! [X3] :
( a_member_of(X3,X1)
<=> a_member_of(X3,X2) ) )
=> ! [X4,X5] :
( eq(X4,X5)
=> eq(X5,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.INrkZdNOaA/E---3.1_30436.p',prove_this) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1,X2] :
( eq(X1,X2)
<=> ! [X3] :
( a_member_of(X3,X1)
<=> a_member_of(X3,X2) ) )
=> ! [X4,X5] :
( eq(X4,X5)
=> eq(X5,X4) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_2,negated_conjecture,
! [X6,X7,X8,X9,X10,X11] :
( ( ~ a_member_of(X8,X6)
| a_member_of(X8,X7)
| ~ eq(X6,X7) )
& ( ~ a_member_of(X9,X7)
| a_member_of(X9,X6)
| ~ eq(X6,X7) )
& ( ~ a_member_of(esk1_2(X10,X11),X10)
| ~ a_member_of(esk1_2(X10,X11),X11)
| eq(X10,X11) )
& ( a_member_of(esk1_2(X10,X11),X10)
| a_member_of(esk1_2(X10,X11),X11)
| eq(X10,X11) )
& eq(esk2_0,esk3_0)
& ~ eq(esk3_0,esk2_0) ),
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)],[c_0_1])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( a_member_of(X1,X3)
| ~ a_member_of(X1,X2)
| ~ eq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
eq(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( a_member_of(X1,X3)
| ~ a_member_of(X1,X2)
| ~ eq(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( a_member_of(X1,esk3_0)
| ~ a_member_of(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( a_member_of(esk1_2(X1,X2),X1)
| a_member_of(esk1_2(X1,X2),X2)
| eq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( eq(X1,X2)
| ~ a_member_of(esk1_2(X1,X2),X1)
| ~ a_member_of(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( a_member_of(X1,esk2_0)
| ~ a_member_of(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( a_member_of(esk1_2(X1,esk2_0),esk3_0)
| a_member_of(esk1_2(X1,esk2_0),X1)
| eq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ eq(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( eq(X1,esk2_0)
| ~ a_member_of(esk1_2(X1,esk2_0),esk3_0)
| ~ a_member_of(esk1_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
a_member_of(esk1_2(esk3_0,esk2_0),esk3_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_10]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_13])]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Oct 2 18:17:54 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 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.INrkZdNOaA/E---3.1_30436.p
% 0.36/0.52 # Version: 3.1pre001
% 0.36/0.52 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.36/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.52 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.36/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.52 # Starting sh5l with 300s (1) cores
% 0.36/0.52 # sh5l with pid 30516 completed with status 0
% 0.36/0.52 # Result found by sh5l
% 0.36/0.52 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.36/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.52 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.36/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.52 # Starting sh5l with 300s (1) cores
% 0.36/0.52 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.36/0.52 # Search class: FGUNF-FFSF22-SFFFFFNN
% 0.36/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.52 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.36/0.52 # SAT001_MinMin_p005000_rr_RG with pid 30520 completed with status 0
% 0.36/0.52 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.36/0.52 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.36/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.52 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.36/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.52 # Starting sh5l with 300s (1) cores
% 0.36/0.52 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.36/0.52 # Search class: FGUNF-FFSF22-SFFFFFNN
% 0.36/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.52 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.36/0.52 # Preprocessing time : 0.001 s
% 0.36/0.52 # Presaturation interreduction done
% 0.36/0.52
% 0.36/0.52 # Proof found!
% 0.36/0.52 # SZS status Theorem
% 0.36/0.52 # SZS output start CNFRefutation
% See solution above
% 0.36/0.52 # Parsed axioms : 1
% 0.36/0.52 # Removed by relevancy pruning/SinE : 0
% 0.36/0.52 # Initial clauses : 6
% 0.36/0.52 # Removed in clause preprocessing : 0
% 0.36/0.52 # Initial clauses in saturation : 6
% 0.36/0.52 # Processed clauses : 23
% 0.36/0.52 # ...of these trivial : 1
% 0.36/0.52 # ...subsumed : 1
% 0.36/0.52 # ...remaining for further processing : 21
% 0.36/0.52 # Other redundant clauses eliminated : 0
% 0.36/0.52 # Clauses deleted for lack of memory : 0
% 0.36/0.52 # Backward-subsumed : 0
% 0.36/0.52 # Backward-rewritten : 2
% 0.36/0.52 # Generated clauses : 24
% 0.36/0.52 # ...of the previous two non-redundant : 14
% 0.36/0.52 # ...aggressively subsumed : 0
% 0.36/0.52 # Contextual simplify-reflections : 1
% 0.36/0.52 # Paramodulations : 18
% 0.36/0.52 # Factorizations : 6
% 0.36/0.52 # NegExts : 0
% 0.36/0.52 # Equation resolutions : 0
% 0.36/0.52 # Total rewrite steps : 8
% 0.36/0.52 # Propositional unsat checks : 0
% 0.36/0.52 # Propositional check models : 0
% 0.36/0.52 # Propositional check unsatisfiable : 0
% 0.36/0.52 # Propositional clauses : 0
% 0.36/0.52 # Propositional clauses after purity: 0
% 0.36/0.52 # Propositional unsat core size : 0
% 0.36/0.52 # Propositional preprocessing time : 0.000
% 0.36/0.52 # Propositional encoding time : 0.000
% 0.36/0.52 # Propositional solver time : 0.000
% 0.36/0.52 # Success case prop preproc time : 0.000
% 0.36/0.52 # Success case prop encoding time : 0.000
% 0.36/0.52 # Success case prop solver time : 0.000
% 0.36/0.52 # Current number of processed clauses : 13
% 0.36/0.52 # Positive orientable unit clauses : 3
% 0.36/0.52 # Positive unorientable unit clauses: 0
% 0.36/0.52 # Negative unit clauses : 1
% 0.36/0.52 # Non-unit-clauses : 9
% 0.36/0.52 # Current number of unprocessed clauses: 1
% 0.36/0.52 # ...number of literals in the above : 1
% 0.36/0.52 # Current number of archived formulas : 0
% 0.36/0.52 # Current number of archived clauses : 8
% 0.36/0.52 # Clause-clause subsumption calls (NU) : 20
% 0.36/0.52 # Rec. Clause-clause subsumption calls : 14
% 0.36/0.52 # Non-unit clause-clause subsumptions : 2
% 0.36/0.52 # Unit Clause-clause subsumption calls : 4
% 0.36/0.52 # Rewrite failures with RHS unbound : 0
% 0.36/0.52 # BW rewrite match attempts : 9
% 0.36/0.52 # BW rewrite match successes : 2
% 0.36/0.52 # Condensation attempts : 0
% 0.36/0.52 # Condensation successes : 0
% 0.36/0.52 # Termbank termtop insertions : 828
% 0.36/0.52
% 0.36/0.52 # -------------------------------------------------
% 0.36/0.52 # User time : 0.001 s
% 0.36/0.52 # System time : 0.004 s
% 0.36/0.52 # Total time : 0.004 s
% 0.36/0.52 # Maximum resident set size: 1732 pages
% 0.36/0.52
% 0.36/0.52 # -------------------------------------------------
% 0.36/0.52 # User time : 0.001 s
% 0.36/0.52 # System time : 0.006 s
% 0.36/0.52 # Total time : 0.007 s
% 0.36/0.52 # Maximum resident set size: 1664 pages
% 0.36/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------