TSTP Solution File: SET056+1 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET056+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 09:21:51 EDT 2024
% Result : Theorem 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 54 ( 9 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 59 ( 23 ~; 22 |; 11 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(equality1,conjecture,
! [X1,X2] :
( X1 = X2
| ? [X3] :
( member(X3,X1)
& ~ member(X3,X2) )
| ? [X7] :
( member(X7,X2)
& ~ member(X7,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8ykMi6TDB0/E---3.1_14709.p',equality1) ).
fof(subclass_defn,axiom,
! [X1,X2] :
( subclass(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8ykMi6TDB0/E---3.1_14709.p',subclass_defn) ).
fof(extensionality,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subclass(X1,X2)
& subclass(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8ykMi6TDB0/E---3.1_14709.p',extensionality) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( X1 = X2
| ? [X3] :
( member(X3,X1)
& ~ member(X3,X2) )
| ? [X7] :
( member(X7,X2)
& ~ member(X7,X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[equality1])]) ).
fof(c_0_4,plain,
! [X14,X15,X16,X17,X18] :
( ( ~ subclass(X14,X15)
| ~ member(X16,X14)
| member(X16,X15) )
& ( member(esk3_2(X17,X18),X17)
| subclass(X17,X18) )
& ( ~ member(esk3_2(X17,X18),X18)
| subclass(X17,X18) ) ),
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)],[subclass_defn])])])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X12,X13] :
( esk1_0 != esk2_0
& ( ~ member(X12,esk1_0)
| member(X12,esk2_0) )
& ( ~ member(X13,esk2_0)
| member(X13,esk1_0) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
cnf(c_0_6,plain,
( subclass(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X25,X26] :
( ( subclass(X25,X26)
| X25 != X26 )
& ( subclass(X26,X25)
| X25 != X26 )
& ( ~ subclass(X25,X26)
| ~ subclass(X26,X25)
| X25 = X26 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[extensionality])])])]) ).
cnf(c_0_9,negated_conjecture,
( subclass(X1,esk2_0)
| ~ member(esk3_2(X1,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( member(esk3_2(X1,X2),X1)
| subclass(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( member(X1,esk1_0)
| ~ member(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( X1 = X2
| ~ subclass(X1,X2)
| ~ subclass(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
subclass(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( member(esk3_2(esk2_0,X1),esk1_0)
| subclass(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
~ subclass(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET056+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.08/0.29 % Computer : n015.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Fri May 3 10:41:36 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 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.8ykMi6TDB0/E---3.1_14709.p
% 0.14/0.42 # Version: 3.1.0
% 0.14/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.42 # Starting sh5l with 300s (1) cores
% 0.14/0.42 # sh5l with pid 14789 completed with status 0
% 0.14/0.42 # Result found by sh5l
% 0.14/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.42 # Starting sh5l with 300s (1) cores
% 0.14/0.42 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.42 # Search class: FGHSM-FFMS31-MFFFFFNN
% 0.14/0.42 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.42 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 130s (1) cores
% 0.14/0.42 # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 14796 completed with status 0
% 0.14/0.42 # Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 0.14/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.42 # Starting sh5l with 300s (1) cores
% 0.14/0.42 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.42 # Search class: FGHSM-FFMS31-MFFFFFNN
% 0.14/0.42 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.42 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 130s (1) cores
% 0.14/0.42 # Preprocessing time : 0.002 s
% 0.14/0.42
% 0.14/0.42 # Proof found!
% 0.14/0.42 # SZS status Theorem
% 0.14/0.42 # SZS output start CNFRefutation
% See solution above
% 0.14/0.42 # Parsed axioms : 44
% 0.14/0.42 # Removed by relevancy pruning/SinE : 5
% 0.14/0.42 # Initial clauses : 79
% 0.14/0.42 # Removed in clause preprocessing : 0
% 0.14/0.42 # Initial clauses in saturation : 79
% 0.14/0.42 # Processed clauses : 174
% 0.14/0.42 # ...of these trivial : 5
% 0.14/0.42 # ...subsumed : 32
% 0.14/0.42 # ...remaining for further processing : 137
% 0.14/0.42 # Other redundant clauses eliminated : 7
% 0.14/0.42 # Clauses deleted for lack of memory : 0
% 0.14/0.42 # Backward-subsumed : 2
% 0.14/0.42 # Backward-rewritten : 1
% 0.14/0.42 # Generated clauses : 516
% 0.14/0.42 # ...of the previous two non-redundant : 458
% 0.14/0.42 # ...aggressively subsumed : 0
% 0.14/0.42 # Contextual simplify-reflections : 0
% 0.14/0.42 # Paramodulations : 503
% 0.14/0.42 # Factorizations : 4
% 0.14/0.42 # NegExts : 0
% 0.14/0.42 # Equation resolutions : 9
% 0.14/0.42 # Disequality decompositions : 0
% 0.14/0.42 # Total rewrite steps : 54
% 0.14/0.42 # ...of those cached : 37
% 0.14/0.42 # Propositional unsat checks : 0
% 0.14/0.42 # Propositional check models : 0
% 0.14/0.42 # Propositional check unsatisfiable : 0
% 0.14/0.42 # Propositional clauses : 0
% 0.14/0.42 # Propositional clauses after purity: 0
% 0.14/0.42 # Propositional unsat core size : 0
% 0.14/0.42 # Propositional preprocessing time : 0.000
% 0.14/0.42 # Propositional encoding time : 0.000
% 0.14/0.42 # Propositional solver time : 0.000
% 0.14/0.42 # Success case prop preproc time : 0.000
% 0.14/0.42 # Success case prop encoding time : 0.000
% 0.14/0.42 # Success case prop solver time : 0.000
% 0.14/0.42 # Current number of processed clauses : 130
% 0.14/0.42 # Positive orientable unit clauses : 33
% 0.14/0.42 # Positive unorientable unit clauses: 0
% 0.14/0.42 # Negative unit clauses : 4
% 0.14/0.42 # Non-unit-clauses : 93
% 0.14/0.42 # Current number of unprocessed clauses: 346
% 0.14/0.42 # ...number of literals in the above : 989
% 0.14/0.42 # Current number of archived formulas : 0
% 0.14/0.42 # Current number of archived clauses : 3
% 0.14/0.42 # Clause-clause subsumption calls (NU) : 1158
% 0.14/0.42 # Rec. Clause-clause subsumption calls : 1051
% 0.14/0.42 # Non-unit clause-clause subsumptions : 29
% 0.14/0.42 # Unit Clause-clause subsumption calls : 82
% 0.14/0.42 # Rewrite failures with RHS unbound : 0
% 0.14/0.42 # BW rewrite match attempts : 18
% 0.14/0.42 # BW rewrite match successes : 1
% 0.14/0.42 # Condensation attempts : 0
% 0.14/0.42 # Condensation successes : 0
% 0.14/0.42 # Termbank termtop insertions : 10520
% 0.14/0.42 # Search garbage collected termcells : 879
% 0.14/0.42
% 0.14/0.42 # -------------------------------------------------
% 0.14/0.42 # User time : 0.014 s
% 0.14/0.42 # System time : 0.004 s
% 0.14/0.42 # Total time : 0.018 s
% 0.14/0.42 # Maximum resident set size: 1992 pages
% 0.14/0.42
% 0.14/0.42 # -------------------------------------------------
% 0.14/0.42 # User time : 0.015 s
% 0.14/0.42 # System time : 0.006 s
% 0.14/0.42 # Total time : 0.021 s
% 0.14/0.42 # Maximum resident set size: 1740 pages
% 0.14/0.42 % E---3.1 exiting
%------------------------------------------------------------------------------