TSTP Solution File: SET047-5 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 19:18:09 EDT 2023
% Result : Timeout 408.26s 300.23s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 4 unt; 7 nHn; 19 RR)
% Number of literals : 53 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 2 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 : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(element_substitution1,axiom,
( element(X3,X2)
| ~ set_equal(X1,X2)
| ~ element(X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.TlxcXEne3b/E---3.1_7904.p',element_substitution1) ).
cnf(prove_symmetry1,negated_conjecture,
( set_equal(a,b)
| set_equal(b,a) ),
file('/export/starexec/sandbox2/tmp/tmp.TlxcXEne3b/E---3.1_7904.p',prove_symmetry1) ).
cnf(element_substitution2,axiom,
( element(X3,X1)
| ~ set_equal(X1,X2)
| ~ element(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.TlxcXEne3b/E---3.1_7904.p',element_substitution2) ).
cnf(clause_3,axiom,
( element(f(X1,X2),X1)
| element(f(X1,X2),X2)
| set_equal(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.TlxcXEne3b/E---3.1_7904.p',clause_3) ).
cnf(clause_4,axiom,
( set_equal(X1,X2)
| ~ element(f(X1,X2),X2)
| ~ element(f(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.TlxcXEne3b/E---3.1_7904.p',clause_4) ).
cnf(prove_symmetry2,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
file('/export/starexec/sandbox2/tmp/tmp.TlxcXEne3b/E---3.1_7904.p',prove_symmetry2) ).
cnf(c_0_6,axiom,
( element(X3,X2)
| ~ set_equal(X1,X2)
| ~ element(X3,X1) ),
element_substitution1 ).
cnf(c_0_7,negated_conjecture,
( set_equal(a,b)
| set_equal(b,a) ),
prove_symmetry1 ).
cnf(c_0_8,axiom,
( element(X3,X1)
| ~ set_equal(X1,X2)
| ~ element(X3,X2) ),
element_substitution2 ).
cnf(c_0_9,negated_conjecture,
( element(X1,b)
| ~ element(X1,a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_10,axiom,
( element(f(X1,X2),X1)
| element(f(X1,X2),X2)
| set_equal(X1,X2) ),
clause_3 ).
cnf(c_0_11,negated_conjecture,
( element(f(a,X1),b)
| element(f(a,X1),X1)
| set_equal(a,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,axiom,
( set_equal(X1,X2)
| ~ element(f(X1,X2),X2)
| ~ element(f(X1,X2),X1) ),
clause_4 ).
cnf(c_0_13,negated_conjecture,
( element(f(a,b),b)
| set_equal(a,b) ),
inference(ef,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( set_equal(a,b)
| ~ element(f(a,b),a) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
( element(X1,a)
| ~ element(X1,b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
prove_symmetry2 ).
cnf(c_0_17,negated_conjecture,
set_equal(a,b),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( element(f(X1,a),b)
| element(f(X1,a),X1)
| set_equal(X1,a) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_19,negated_conjecture,
~ set_equal(b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_20,negated_conjecture,
( set_equal(X1,a)
| ~ element(f(X1,a),b)
| ~ element(f(X1,a),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
element(f(b,a),b),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_21])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Oct 2 16:52:36 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 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.TlxcXEne3b/E---3.1_7904.p
% 408.26/300.23 # Version: 3.1pre001
% 408.26/300.23 # Preprocessing class: FSSSSMSSSSSNFFN.
% 408.26/300.23 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.26/300.23 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 408.26/300.23 # Starting new_bool_3 with 300s (1) cores
% 408.26/300.23 # Starting new_bool_1 with 300s (1) cores
% 408.26/300.23 # Starting sh5l with 300s (1) cores
% 408.26/300.23 # sh5l with pid 8035 completed with status 0
% 408.26/300.23 # Result found by sh5l
% 408.26/300.23 # Preprocessing class: FSSSSMSSSSSNFFN.
% 408.26/300.23 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.26/300.23 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 408.26/300.23 # Starting new_bool_3 with 300s (1) cores
% 408.26/300.23 # Starting new_bool_1 with 300s (1) cores
% 408.26/300.23 # Starting sh5l with 300s (1) cores
% 408.26/300.23 # SinE strategy is gf500_gu_R04_F100_L20000
% 408.26/300.23 # Search class: FGHNF-FFSF22-SFFFFFNN
% 408.26/300.23 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.26/300.23 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.26/300.23 # SAT001_MinMin_p005000_rr_RG with pid 8046 completed with status 0
% 408.26/300.23 # Result found by SAT001_MinMin_p005000_rr_RG
% 408.26/300.23 # Preprocessing class: FSSSSMSSSSSNFFN.
% 408.26/300.23 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 408.26/300.23 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 408.26/300.23 # Starting new_bool_3 with 300s (1) cores
% 408.26/300.23 # Starting new_bool_1 with 300s (1) cores
% 408.26/300.23 # Starting sh5l with 300s (1) cores
% 408.26/300.23 # SinE strategy is gf500_gu_R04_F100_L20000
% 408.26/300.23 # Search class: FGHNF-FFSF22-SFFFFFNN
% 408.26/300.23 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 408.26/300.23 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 408.26/300.23 # Preprocessing time : 0.001 s
% 408.26/300.23 # Presaturation interreduction done
% 408.26/300.23
% 408.26/300.23 # Proof found!
% 408.26/300.23 # SZS status Unsatisfiable
% 408.26/300.23 # SZS output start CNFRefutation
% See solution above
% 408.26/300.23 # Parsed axioms : 6
% 408.26/300.23 # Removed by relevancy pruning/SinE : 0
% 408.26/300.23 # Initial clauses : 6
% 408.26/300.23 # Removed in clause preprocessing : 0
% 408.26/300.23 # Initial clauses in saturation : 6
% 408.26/300.23 # Processed clauses : 29
% 408.26/300.23 # ...of these trivial : 0
% 408.26/300.23 # ...subsumed : 4
% 408.26/300.23 # ...remaining for further processing : 25
% 408.26/300.23 # Other redundant clauses eliminated : 0
% 408.26/300.23 # Clauses deleted for lack of memory : 0
% 408.26/300.23 # Backward-subsumed : 1
% 408.26/300.23 # Backward-rewritten : 5
% 408.26/300.23 # Generated clauses : 30
% 408.26/300.23 # ...of the previous two non-redundant : 21
% 408.26/300.23 # ...aggressively subsumed : 0
% 408.26/300.23 # Contextual simplify-reflections : 4
% 408.26/300.23 # Paramodulations : 24
% 408.26/300.23 # Factorizations : 6
% 408.26/300.23 # NegExts : 0
% 408.26/300.23 # Equation resolutions : 0
% 408.26/300.23 # Total rewrite steps : 9
% 408.26/300.23 # Propositional unsat checks : 0
% 408.26/300.23 # Propositional check models : 0
% 408.26/300.23 # Propositional check unsatisfiable : 0
% 408.26/300.23 # Propositional clauses : 0
% 408.26/300.23 # Propositional clauses after purity: 0
% 408.26/300.23 # Propositional unsat core size : 0
% 408.26/300.23 # Propositional preprocessing time : 0.000
% 408.26/300.23 # Propositional encoding time : 0.000
% 408.26/300.23 # Propositional solver time : 0.000
% 408.26/300.23 # Success case prop preproc time : 0.000
% 408.26/300.23 # Success case prop encoding time : 0.000
% 408.26/300.23 # Success case prop solver time : 0.000
% 408.26/300.23 # Current number of processed clauses : 13
% 408.26/300.23 # Positive orientable unit clauses : 3
% 408.26/300.23 # Positive unorientable unit clauses: 0
% 408.26/300.23 # Negative unit clauses : 1
% 408.26/300.23 # Non-unit-clauses : 9
% 408.26/300.23 # Current number of unprocessed clauses: 2
% 408.26/300.23 # ...number of literals in the above : 4
% 408.26/300.23 # Current number of archived formulas : 0
% 408.26/300.23 # Current number of archived clauses : 12
% 408.26/300.23 # Clause-clause subsumption calls (NU) : 26
% 408.26/300.23 # Rec. Clause-clause subsumption calls : 21
% 408.26/300.23 # Non-unit clause-clause subsumptions : 8
% 408.26/300.23 # Unit Clause-clause subsumption calls : 6
% 408.26/300.23 # Rewrite failures with RHS unbound : 0
% 408.26/300.23 # BW rewrite match attempts : 9
% 408.26/300.23 # BW rewrite match successes : 3
% 408.26/300.23 # Condensation attempts : 0
% 408.26/300.23 # Condensation successes : 0
% 408.26/300.23 # Termbank termtop insertions : 534
% 408.26/300.23
% 408.26/300.23 # -------------------------------------------------
% 408.26/300.23 # User time : 0.005 s
% 408.26/300.23 # System time : 0.000 s
% 408.26/300.23 # Total time : 0.005 s
% 408.26/300.23 # Maximum resident set size: 1640 pages
% 408.26/300.23
% 408.26/300.23 # -------------------------------------------------
% 408.26/300.23 # User time : 0.007 s
% 408.26/300.23 # System time : 0.001 s
% 408.26/300.23 # Total time : 0.008 s
% 408.26/300.23 # Maximum resident set size: 1672 pages
% 408.26/300.23 % E---3.1 exiting
% 408.26/300.23 % E---3.1 exiting
%------------------------------------------------------------------------------