TSTP Solution File: SEU153+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU153+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:25:19 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 88 ( 30 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 100 ( 40 ~; 38 |; 14 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 59 ( 2 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l25_zfmisc_1,conjecture,
! [X1,X2] :
~ ( disjoint(singleton(X1),X2)
& in(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.y7Xb3sq0mM/E---3.1_9832.p',l25_zfmisc_1) ).
fof(symmetry_r1_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
=> disjoint(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.y7Xb3sq0mM/E---3.1_9832.p',symmetry_r1_xboole_0) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.y7Xb3sq0mM/E---3.1_9832.p',d1_xboole_0) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y7Xb3sq0mM/E---3.1_9832.p',d3_xboole_0) ).
fof(d7_xboole_0,axiom,
! [X1,X2] :
( disjoint(X1,X2)
<=> set_intersection2(X1,X2) = empty_set ),
file('/export/starexec/sandbox/tmp/tmp.y7Xb3sq0mM/E---3.1_9832.p',d7_xboole_0) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.y7Xb3sq0mM/E---3.1_9832.p',d1_tarski) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2] :
~ ( disjoint(singleton(X1),X2)
& in(X1,X2) ),
inference(assume_negation,[status(cth)],[l25_zfmisc_1]) ).
fof(c_0_7,plain,
! [X31,X32] :
( ~ disjoint(X31,X32)
| disjoint(X32,X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])])]) ).
fof(c_0_8,negated_conjecture,
( disjoint(singleton(esk1_0),esk2_0)
& in(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(c_0_10,plain,
! [X20,X21,X22,X23,X24,X25,X26,X27] :
( ( in(X23,X20)
| ~ in(X23,X22)
| X22 != set_intersection2(X20,X21) )
& ( in(X23,X21)
| ~ in(X23,X22)
| X22 != set_intersection2(X20,X21) )
& ( ~ in(X24,X20)
| ~ in(X24,X21)
| in(X24,X22)
| X22 != set_intersection2(X20,X21) )
& ( ~ in(esk5_3(X25,X26,X27),X27)
| ~ in(esk5_3(X25,X26,X27),X25)
| ~ in(esk5_3(X25,X26,X27),X26)
| X27 = set_intersection2(X25,X26) )
& ( in(esk5_3(X25,X26,X27),X25)
| in(esk5_3(X25,X26,X27),X27)
| X27 = set_intersection2(X25,X26) )
& ( in(esk5_3(X25,X26,X27),X26)
| in(esk5_3(X25,X26,X27),X27)
| X27 = set_intersection2(X25,X26) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[d3_xboole_0])])])])])])]) ).
fof(c_0_11,plain,
! [X29,X30] :
( ( ~ disjoint(X29,X30)
| set_intersection2(X29,X30) = empty_set )
& ( set_intersection2(X29,X30) != empty_set
| disjoint(X29,X30) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_xboole_0])])]) ).
cnf(c_0_12,plain,
( disjoint(X2,X1)
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
disjoint(singleton(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X16,X17,X18] :
( ( X16 != empty_set
| ~ in(X17,X16) )
& ( in(esk4_1(X18),X18)
| X18 = empty_set ) ),
inference(fof_nnf,[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_9])])])])])]) ).
cnf(c_0_15,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X1,X3)
| X4 != set_intersection2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( set_intersection2(X1,X2) = empty_set
| ~ disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
disjoint(esk2_0,singleton(esk1_0)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X9,X10,X11,X12,X13,X14] :
( ( ~ in(X11,X10)
| X11 = X9
| X10 != singleton(X9) )
& ( X12 != X9
| in(X12,X10)
| X10 != singleton(X9) )
& ( ~ in(esk3_2(X13,X14),X14)
| esk3_2(X13,X14) != X13
| X14 = singleton(X13) )
& ( in(esk3_2(X13,X14),X14)
| esk3_2(X13,X14) = X13
| X14 = singleton(X13) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[d1_tarski])])])])])])]) ).
cnf(c_0_20,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
set_intersection2(esk2_0,singleton(esk1_0)) = empty_set,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
~ in(X1,empty_set),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( in(X1,X3)
| X1 != X2
| X3 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( ~ in(X1,singleton(esk1_0))
| ~ in(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
in(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU153+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 07:55:43 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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.y7Xb3sq0mM/E---3.1_9832.p
% 0.21/0.49 # Version: 3.1.0
% 0.21/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.49 # Starting sh5l with 300s (1) cores
% 0.21/0.49 # sh5l with pid 9918 completed with status 0
% 0.21/0.49 # Result found by sh5l
% 0.21/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.49 # Starting sh5l with 300s (1) cores
% 0.21/0.49 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.49 # Search class: FGHSS-FFMS31-SFFFFFNN
% 0.21/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.49 # SAT001_MinMin_p005000_rr_RG with pid 9925 completed with status 0
% 0.21/0.49 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.49 # Starting sh5l with 300s (1) cores
% 0.21/0.49 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.49 # Search class: FGHSS-FFMS31-SFFFFFNN
% 0.21/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.49 # Preprocessing time : 0.001 s
% 0.21/0.49 # Presaturation interreduction done
% 0.21/0.49
% 0.21/0.49 # Proof found!
% 0.21/0.49 # SZS status Theorem
% 0.21/0.49 # SZS output start CNFRefutation
% See solution above
% 0.21/0.49 # Parsed axioms : 15
% 0.21/0.49 # Removed by relevancy pruning/SinE : 3
% 0.21/0.49 # Initial clauses : 23
% 0.21/0.49 # Removed in clause preprocessing : 0
% 0.21/0.49 # Initial clauses in saturation : 23
% 0.21/0.49 # Processed clauses : 57
% 0.21/0.49 # ...of these trivial : 0
% 0.21/0.49 # ...subsumed : 1
% 0.21/0.49 # ...remaining for further processing : 56
% 0.21/0.49 # Other redundant clauses eliminated : 7
% 0.21/0.49 # Clauses deleted for lack of memory : 0
% 0.21/0.49 # Backward-subsumed : 0
% 0.21/0.49 # Backward-rewritten : 1
% 0.21/0.49 # Generated clauses : 41
% 0.21/0.49 # ...of the previous two non-redundant : 30
% 0.21/0.49 # ...aggressively subsumed : 0
% 0.21/0.49 # Contextual simplify-reflections : 0
% 0.21/0.49 # Paramodulations : 35
% 0.21/0.49 # Factorizations : 0
% 0.21/0.49 # NegExts : 0
% 0.21/0.49 # Equation resolutions : 7
% 0.21/0.49 # Disequality decompositions : 0
% 0.21/0.49 # Total rewrite steps : 7
% 0.21/0.49 # ...of those cached : 0
% 0.21/0.49 # Propositional unsat checks : 0
% 0.21/0.49 # Propositional check models : 0
% 0.21/0.49 # Propositional check unsatisfiable : 0
% 0.21/0.49 # Propositional clauses : 0
% 0.21/0.49 # Propositional clauses after purity: 0
% 0.21/0.49 # Propositional unsat core size : 0
% 0.21/0.49 # Propositional preprocessing time : 0.000
% 0.21/0.49 # Propositional encoding time : 0.000
% 0.21/0.49 # Propositional solver time : 0.000
% 0.21/0.49 # Success case prop preproc time : 0.000
% 0.21/0.49 # Success case prop encoding time : 0.000
% 0.21/0.49 # Success case prop solver time : 0.000
% 0.21/0.49 # Current number of processed clauses : 26
% 0.21/0.49 # Positive orientable unit clauses : 8
% 0.21/0.49 # Positive unorientable unit clauses: 1
% 0.21/0.49 # Negative unit clauses : 4
% 0.21/0.49 # Non-unit-clauses : 13
% 0.21/0.49 # Current number of unprocessed clauses: 18
% 0.21/0.49 # ...number of literals in the above : 46
% 0.21/0.49 # Current number of archived formulas : 0
% 0.21/0.49 # Current number of archived clauses : 24
% 0.21/0.49 # Clause-clause subsumption calls (NU) : 75
% 0.21/0.49 # Rec. Clause-clause subsumption calls : 68
% 0.21/0.49 # Non-unit clause-clause subsumptions : 0
% 0.21/0.49 # Unit Clause-clause subsumption calls : 7
% 0.21/0.49 # Rewrite failures with RHS unbound : 0
% 0.21/0.49 # BW rewrite match attempts : 13
% 0.21/0.49 # BW rewrite match successes : 12
% 0.21/0.49 # Condensation attempts : 0
% 0.21/0.49 # Condensation successes : 0
% 0.21/0.49 # Termbank termtop insertions : 1643
% 0.21/0.49 # Search garbage collected termcells : 376
% 0.21/0.49
% 0.21/0.49 # -------------------------------------------------
% 0.21/0.49 # User time : 0.008 s
% 0.21/0.49 # System time : 0.000 s
% 0.21/0.49 # Total time : 0.008 s
% 0.21/0.49 # Maximum resident set size: 1696 pages
% 0.21/0.49
% 0.21/0.49 # -------------------------------------------------
% 0.21/0.49 # User time : 0.010 s
% 0.21/0.49 # System time : 0.001 s
% 0.21/0.49 # Total time : 0.011 s
% 0.21/0.49 # Maximum resident set size: 1696 pages
% 0.21/0.49 % E---3.1 exiting
% 0.21/0.50 % E exiting
%------------------------------------------------------------------------------