TSTP Solution File: SET580+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET580+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 19:23:00 EDT 2023
% Result : Theorem 0.16s 0.42s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 96 ( 3 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 103 ( 41 ~; 46 |; 9 &)
% ( 7 <=>; 0 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 4 sgn; 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th23,conjecture,
! [X1,X2,X3] :
( member(X1,symmetric_difference(X2,X3))
<=> ~ ( member(X1,X2)
<=> member(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9PhmeT0q8a/E---3.1_20745.p',prove_th23) ).
fof(symmetric_difference_defn,axiom,
! [X1,X2] : symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
file('/export/starexec/sandbox2/tmp/tmp.9PhmeT0q8a/E---3.1_20745.p',symmetric_difference_defn) ).
fof(difference_defn,axiom,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9PhmeT0q8a/E---3.1_20745.p',difference_defn) ).
fof(union_defn,axiom,
! [X1,X2,X3] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9PhmeT0q8a/E---3.1_20745.p',union_defn) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( member(X1,symmetric_difference(X2,X3))
<=> ~ ( member(X1,X2)
<=> member(X1,X3) ) ),
inference(assume_negation,[status(cth)],[prove_th23]) ).
fof(c_0_5,negated_conjecture,
( ( ~ member(esk2_0,esk3_0)
| member(esk2_0,esk4_0)
| ~ member(esk2_0,symmetric_difference(esk3_0,esk4_0)) )
& ( ~ member(esk2_0,esk4_0)
| member(esk2_0,esk3_0)
| ~ member(esk2_0,symmetric_difference(esk3_0,esk4_0)) )
& ( ~ member(esk2_0,esk3_0)
| ~ member(esk2_0,esk4_0)
| member(esk2_0,symmetric_difference(esk3_0,esk4_0)) )
& ( member(esk2_0,esk3_0)
| member(esk2_0,esk4_0)
| member(esk2_0,symmetric_difference(esk3_0,esk4_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_6,plain,
! [X10,X11] : symmetric_difference(X10,X11) = union(difference(X10,X11),difference(X11,X10)),
inference(variable_rename,[status(thm)],[symmetric_difference_defn]) ).
fof(c_0_7,plain,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[difference_defn]) ).
cnf(c_0_8,negated_conjecture,
( member(esk2_0,esk3_0)
| ~ member(esk2_0,esk4_0)
| ~ member(esk2_0,symmetric_difference(esk3_0,esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X4,X5,X6] :
( ( ~ member(X6,union(X4,X5))
| member(X6,X4)
| member(X6,X5) )
& ( ~ member(X6,X4)
| member(X6,union(X4,X5)) )
& ( ~ member(X6,X5)
| member(X6,union(X4,X5)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])]) ).
fof(c_0_11,plain,
! [X7,X8,X9] :
( ( member(X9,X7)
| ~ member(X9,difference(X7,X8)) )
& ( ~ member(X9,X8)
| ~ member(X9,difference(X7,X8)) )
& ( ~ member(X9,X7)
| member(X9,X8)
| member(X9,difference(X7,X8)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_12,negated_conjecture,
( member(esk2_0,esk4_0)
| ~ member(esk2_0,esk3_0)
| ~ member(esk2_0,symmetric_difference(esk3_0,esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( member(esk2_0,esk3_0)
| member(esk2_0,esk4_0)
| member(esk2_0,symmetric_difference(esk3_0,esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( member(esk2_0,esk3_0)
| ~ member(esk2_0,esk4_0)
| ~ member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))) ),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,plain,
( member(X1,union(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( member(esk2_0,esk4_0)
| ~ member(esk2_0,esk3_0)
| ~ member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))) ),
inference(rw,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_19,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
( member(esk2_0,esk3_0)
| member(esk2_0,esk4_0)
| member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0))) ),
inference(rw,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_22,negated_conjecture,
~ member(esk2_0,difference(esk4_0,esk3_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_23,negated_conjecture,
~ member(esk2_0,difference(esk3_0,esk4_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]),c_0_17]) ).
cnf(c_0_24,plain,
( member(X1,X3)
| member(X1,difference(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25,negated_conjecture,
( member(esk2_0,esk4_0)
| member(esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( member(esk2_0,symmetric_difference(esk3_0,esk4_0))
| ~ member(esk2_0,esk3_0)
| ~ member(esk2_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,negated_conjecture,
( member(esk2_0,difference(esk4_0,X1))
| member(esk2_0,esk3_0)
| member(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0)))
| ~ member(esk2_0,esk3_0)
| ~ member(esk2_0,esk4_0) ),
inference(rw,[status(thm)],[c_0_26,c_0_9]) ).
cnf(c_0_29,negated_conjecture,
member(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_22,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( member(esk2_0,union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0)))
| ~ member(esk2_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
cnf(c_0_31,negated_conjecture,
( member(esk2_0,difference(esk3_0,X1))
| member(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
~ member(esk2_0,esk4_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_30]),c_0_22]),c_0_23]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET580+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Oct 2 16:11:11 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.9PhmeT0q8a/E---3.1_20745.p
% 0.16/0.42 # Version: 3.1pre001
% 0.16/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.42 # Starting sh5l with 300s (1) cores
% 0.16/0.42 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20822 completed with status 0
% 0.16/0.42 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42 # No SInE strategy applied
% 0.16/0.42 # Search class: FGHSS-FFSF22-SFFFFFNN
% 0.16/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.42 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.42 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.42 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.42 # Starting sh5l with 136s (1) cores
% 0.16/0.42 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20829 completed with status 0
% 0.16/0.42 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42 # No SInE strategy applied
% 0.16/0.42 # Search class: FGHSS-FFSF22-SFFFFFNN
% 0.16/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.42 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.16/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.42 # Preprocessing time : 0.001 s
% 0.16/0.42 # Presaturation interreduction done
% 0.16/0.42
% 0.16/0.42 # Proof found!
% 0.16/0.42 # SZS status Theorem
% 0.16/0.42 # SZS output start CNFRefutation
% See solution above
% 0.16/0.42 # Parsed axioms : 7
% 0.16/0.42 # Removed by relevancy pruning/SinE : 0
% 0.16/0.42 # Initial clauses : 17
% 0.16/0.42 # Removed in clause preprocessing : 3
% 0.16/0.42 # Initial clauses in saturation : 14
% 0.16/0.42 # Processed clauses : 42
% 0.16/0.42 # ...of these trivial : 1
% 0.16/0.42 # ...subsumed : 5
% 0.16/0.42 # ...remaining for further processing : 35
% 0.16/0.42 # Other redundant clauses eliminated : 0
% 0.16/0.42 # Clauses deleted for lack of memory : 0
% 0.16/0.42 # Backward-subsumed : 2
% 0.16/0.42 # Backward-rewritten : 5
% 0.16/0.42 # Generated clauses : 49
% 0.16/0.42 # ...of the previous two non-redundant : 38
% 0.16/0.42 # ...aggressively subsumed : 0
% 0.16/0.42 # Contextual simplify-reflections : 4
% 0.16/0.42 # Paramodulations : 47
% 0.16/0.42 # Factorizations : 2
% 0.16/0.42 # NegExts : 0
% 0.16/0.42 # Equation resolutions : 0
% 0.16/0.42 # Total rewrite steps : 6
% 0.16/0.42 # Propositional unsat checks : 0
% 0.16/0.42 # Propositional check models : 0
% 0.16/0.42 # Propositional check unsatisfiable : 0
% 0.16/0.42 # Propositional clauses : 0
% 0.16/0.42 # Propositional clauses after purity: 0
% 0.16/0.42 # Propositional unsat core size : 0
% 0.16/0.42 # Propositional preprocessing time : 0.000
% 0.16/0.42 # Propositional encoding time : 0.000
% 0.16/0.42 # Propositional solver time : 0.000
% 0.16/0.42 # Success case prop preproc time : 0.000
% 0.16/0.42 # Success case prop encoding time : 0.000
% 0.16/0.42 # Success case prop solver time : 0.000
% 0.16/0.42 # Current number of processed clauses : 15
% 0.16/0.42 # Positive orientable unit clauses : 1
% 0.16/0.42 # Positive unorientable unit clauses: 1
% 0.16/0.42 # Negative unit clauses : 3
% 0.16/0.42 # Non-unit-clauses : 10
% 0.16/0.42 # Current number of unprocessed clauses: 23
% 0.16/0.42 # ...number of literals in the above : 73
% 0.16/0.42 # Current number of archived formulas : 0
% 0.16/0.42 # Current number of archived clauses : 21
% 0.16/0.42 # Clause-clause subsumption calls (NU) : 66
% 0.16/0.42 # Rec. Clause-clause subsumption calls : 64
% 0.16/0.42 # Non-unit clause-clause subsumptions : 7
% 0.16/0.42 # Unit Clause-clause subsumption calls : 9
% 0.16/0.42 # Rewrite failures with RHS unbound : 0
% 0.16/0.42 # BW rewrite match attempts : 3
% 0.16/0.42 # BW rewrite match successes : 3
% 0.16/0.42 # Condensation attempts : 0
% 0.16/0.42 # Condensation successes : 0
% 0.16/0.42 # Termbank termtop insertions : 1599
% 0.16/0.42
% 0.16/0.42 # -------------------------------------------------
% 0.16/0.42 # User time : 0.006 s
% 0.16/0.42 # System time : 0.001 s
% 0.16/0.42 # Total time : 0.007 s
% 0.16/0.42 # Maximum resident set size: 1764 pages
% 0.16/0.42
% 0.16/0.42 # -------------------------------------------------
% 0.16/0.42 # User time : 0.021 s
% 0.16/0.42 # System time : 0.003 s
% 0.16/0.42 # Total time : 0.024 s
% 0.16/0.42 # Maximum resident set size: 1676 pages
% 0.16/0.42 % E---3.1 exiting
%------------------------------------------------------------------------------