TSTP Solution File: SET618+3 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:19:58 EDT 2023
% Result : Theorem 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th93,conjecture,
! [X1] : symmetric_difference(X1,X1) = empty_set,
file('/export/starexec/sandbox/tmp/tmp.xJ8VjdWq5A/E---3.1_18785.p',prove_th93) ).
fof(idempotency_of_union,axiom,
! [X1] : union(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.xJ8VjdWq5A/E---3.1_18785.p',idempotency_of_union) ).
fof(symmetric_difference_defn,axiom,
! [X1,X2] : symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.xJ8VjdWq5A/E---3.1_18785.p',symmetric_difference_defn) ).
fof(self_difference_is_empty_set,axiom,
! [X1] : difference(X1,X1) = empty_set,
file('/export/starexec/sandbox/tmp/tmp.xJ8VjdWq5A/E---3.1_18785.p',self_difference_is_empty_set) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] : symmetric_difference(X1,X1) = empty_set,
inference(assume_negation,[status(cth)],[prove_th93]) ).
fof(c_0_5,plain,
! [X24] : union(X24,X24) = X24,
inference(variable_rename,[status(thm)],[idempotency_of_union]) ).
fof(c_0_6,plain,
! [X7,X8] : symmetric_difference(X7,X8) = union(difference(X7,X8),difference(X8,X7)),
inference(variable_rename,[status(thm)],[symmetric_difference_defn]) ).
fof(c_0_7,plain,
! [X5] : difference(X5,X5) = empty_set,
inference(variable_rename,[status(thm)],[self_difference_is_empty_set]) ).
fof(c_0_8,negated_conjecture,
symmetric_difference(esk1_0,esk1_0) != empty_set,
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_9,plain,
union(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
difference(X1,X1) = empty_set,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
symmetric_difference(esk1_0,esk1_0) != empty_set,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
symmetric_difference(X1,X1) = empty_set,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 16:54:36 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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.xJ8VjdWq5A/E---3.1_18785.p
% 0.16/0.43 # Version: 3.1pre001
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # Starting sh5l with 300s (1) cores
% 0.16/0.43 # new_bool_1 with pid 18865 completed with status 0
% 0.16/0.43 # Result found by new_bool_1
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43 # Search class: FGUSM-FFSF22-SFFFFFNN
% 0.16/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 121s (1) cores
% 0.16/0.43 # SAT001_MinMin_p005000_rr_RG with pid 18868 completed with status 0
% 0.16/0.43 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43 # Search class: FGUSM-FFSF22-SFFFFFNN
% 0.16/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 121s (1) cores
% 0.16/0.43 # Preprocessing time : 0.001 s
% 0.16/0.43 # Presaturation interreduction done
% 0.16/0.43
% 0.16/0.43 # Proof found!
% 0.16/0.43 # SZS status Theorem
% 0.16/0.43 # SZS output start CNFRefutation
% See solution above
% 0.16/0.43 # Parsed axioms : 12
% 0.16/0.43 # Removed by relevancy pruning/SinE : 1
% 0.16/0.43 # Initial clauses : 18
% 0.16/0.43 # Removed in clause preprocessing : 2
% 0.16/0.43 # Initial clauses in saturation : 16
% 0.16/0.43 # Processed clauses : 29
% 0.16/0.43 # ...of these trivial : 0
% 0.16/0.43 # ...subsumed : 2
% 0.16/0.43 # ...remaining for further processing : 27
% 0.16/0.43 # Other redundant clauses eliminated : 2
% 0.16/0.43 # Clauses deleted for lack of memory : 0
% 0.16/0.43 # Backward-subsumed : 0
% 0.16/0.43 # Backward-rewritten : 1
% 0.16/0.43 # Generated clauses : 13
% 0.16/0.43 # ...of the previous two non-redundant : 7
% 0.16/0.43 # ...aggressively subsumed : 0
% 0.16/0.43 # Contextual simplify-reflections : 0
% 0.16/0.43 # Paramodulations : 11
% 0.16/0.43 # Factorizations : 0
% 0.16/0.43 # NegExts : 0
% 0.16/0.43 # Equation resolutions : 2
% 0.16/0.43 # Total rewrite steps : 12
% 0.16/0.43 # Propositional unsat checks : 0
% 0.16/0.43 # Propositional check models : 0
% 0.16/0.43 # Propositional check unsatisfiable : 0
% 0.16/0.43 # Propositional clauses : 0
% 0.16/0.43 # Propositional clauses after purity: 0
% 0.16/0.43 # Propositional unsat core size : 0
% 0.16/0.43 # Propositional preprocessing time : 0.000
% 0.16/0.43 # Propositional encoding time : 0.000
% 0.16/0.43 # Propositional solver time : 0.000
% 0.16/0.43 # Success case prop preproc time : 0.000
% 0.16/0.43 # Success case prop encoding time : 0.000
% 0.16/0.43 # Success case prop solver time : 0.000
% 0.16/0.43 # Current number of processed clauses : 10
% 0.16/0.43 # Positive orientable unit clauses : 5
% 0.16/0.43 # Positive unorientable unit clauses: 2
% 0.16/0.43 # Negative unit clauses : 1
% 0.16/0.43 # Non-unit-clauses : 2
% 0.16/0.43 # Current number of unprocessed clauses: 8
% 0.16/0.43 # ...number of literals in the above : 15
% 0.16/0.43 # Current number of archived formulas : 0
% 0.16/0.43 # Current number of archived clauses : 15
% 0.16/0.43 # Clause-clause subsumption calls (NU) : 2
% 0.16/0.43 # Rec. Clause-clause subsumption calls : 2
% 0.16/0.43 # Non-unit clause-clause subsumptions : 0
% 0.16/0.43 # Unit Clause-clause subsumption calls : 0
% 0.16/0.43 # Rewrite failures with RHS unbound : 0
% 0.16/0.43 # BW rewrite match attempts : 11
% 0.16/0.43 # BW rewrite match successes : 9
% 0.16/0.43 # Condensation attempts : 0
% 0.16/0.43 # Condensation successes : 0
% 0.16/0.43 # Termbank termtop insertions : 854
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.004 s
% 0.16/0.43 # System time : 0.001 s
% 0.16/0.43 # Total time : 0.005 s
% 0.16/0.43 # Maximum resident set size: 1740 pages
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.006 s
% 0.16/0.43 # System time : 0.002 s
% 0.16/0.43 # Total time : 0.007 s
% 0.16/0.43 # Maximum resident set size: 1680 pages
% 0.16/0.43 % E---3.1 exiting
% 0.16/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------